0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : do_cvc5 %s %d THM 0.11/0.32 % Computer : n020.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 1440 0.11/0.32 % WCLimit : 180 0.11/0.32 % DateTime : Thu Jul 4 09:08:54 EDT 2024 0.11/0.32 % CPUTime : 0.20/0.49 %----Proving TH0 25.75/25.99 --- Run --ho-elim --enum-inst at 10... 25.75/25.99 --- Run --ho-elim --no-e-matching --enum-inst at 10... 25.75/25.99 --- Run --mbqi --mbqi-fast-sygus at 20... 25.75/25.99 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5... 25.75/25.99 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5... 25.75/25.99 --- Run --no-ho-matching --enum-inst --enum-inst-interleave --ho-elim-store-ax at 10... 25.75/25.99 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.8ENLfBhGdL/cvc5---1.0.5_7649.smt2 25.75/25.99 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.8ENLfBhGdL/cvc5---1.0.5_7649.smt2 25.75/25.99 (declare-sort $$unsorted 0) 25.75/25.99 (declare-fun tptp.f2 (Bool) Bool) 25.75/25.99 (declare-fun tptp.f1 (Bool) Bool) 25.75/25.99 (declare-fun tptp.f3 (Bool) Bool) 25.75/25.99 (declare-fun tptp.f0 (Bool) Bool) 25.75/25.99 (declare-fun tptp.case ((-> Bool Bool) $$unsorted $$unsorted $$unsorted $$unsorted) $$unsorted) 25.75/25.99 (declare-fun tptp.eps ((-> $$unsorted Bool)) $$unsorted) 25.75/25.99 (define @v.0.BOUND_VARIABLE_564 () (alf.var "BOUND_VARIABLE_564" $$unsorted)) 25.75/25.99 (define @v.0.BOUND_VARIABLE_566 () (alf.var "BOUND_VARIABLE_566" $$unsorted)) 25.75/25.99 (define @v.0.BOUND_VARIABLE_568 () (alf.var "BOUND_VARIABLE_568" $$unsorted)) 25.75/25.99 (define @v.0.BOUND_VARIABLE_612 () (alf.var "BOUND_VARIABLE_612" $$unsorted)) 25.75/25.99 (define @v.0.BOUND_VARIABLE_547 () (alf.var "BOUND_VARIABLE_547" $$unsorted)) 25.75/25.99 (define @v.0.BOUND_VARIABLE_581 () (alf.var "BOUND_VARIABLE_581" $$unsorted)) 25.75/25.99 (define @v.0.BOUND_VARIABLE_1767 () (alf.var "BOUND_VARIABLE_1767" Bool)) 25.75/25.99 (define @v.0.BOUND_VARIABLE_1756 () (alf.var "BOUND_VARIABLE_1756" Bool)) 25.75/25.99 (define @v.0.BOUND_VARIABLE_1745 () (alf.var "BOUND_VARIABLE_1745" Bool)) 25.75/25.99 (define @v.0.BOUND_VARIABLE_1736 () (alf.var "BOUND_VARIABLE_1736" Bool)) 25.75/25.99 (define @v.0.BOUND_VARIABLE_616 () (alf.var "BOUND_VARIABLE_616" $$unsorted)) 25.75/25.99 (define @v.0.B () (alf.var "B" (-> Bool Bool))) 25.75/25.99 (define @v.0.BOUND_VARIABLE_579 () (alf.var "BOUND_VARIABLE_579" $$unsorted)) 25.75/25.99 (define @v.0.V () (alf.var "V" $$unsorted)) 25.75/25.99 (define @v.0._lvar_0 () (alf.var "_lvar_0" Bool)) 25.75/25.99 (define @v.0.A () (alf.var "A" Bool)) 25.75/25.99 (define @v.0.P () (alf.var "P" (-> $$unsorted Bool))) 25.75/25.99 (define @v.0.U () (alf.var "U" $$unsorted)) 25.75/25.99 (define @v.0.Z () (alf.var "Z" $$unsorted)) 25.75/25.99 (define @v.0.BOUND_VARIABLE_598 () (alf.var "BOUND_VARIABLE_598" $$unsorted)) 25.75/25.99 (define @v.0.X () (alf.var "X" $$unsorted)) 25.75/25.99 (define @v.0.Y () (alf.var "Y" $$unsorted)) 25.75/25.99 (define @v.0.BOUND_VARIABLE_600 () (alf.var "BOUND_VARIABLE_600" $$unsorted)) 25.75/25.99 (define @v.0.BOUND_VARIABLE_596 () (alf.var "BOUND_VARIABLE_596" $$unsorted)) 25.75/25.99 (define @v.0.BOUND_VARIABLE_594 () (alf.var "BOUND_VARIABLE_594" $$unsorted)) 25.75/25.99 (define @v.0.BOUND_VARIABLE_570 () (alf.var "BOUND_VARIABLE_570" $$unsorted)) 25.75/25.99 (define @v.0.BOUND_VARIABLE_610 () (alf.var "BOUND_VARIABLE_610" $$unsorted)) 25.75/25.99 (define @v.0.BOUND_VARIABLE_614 () (alf.var "BOUND_VARIABLE_614" $$unsorted)) 25.75/25.99 (define @v.0.BOUND_VARIABLE_585 () (alf.var "BOUND_VARIABLE_585" $$unsorted)) 25.75/25.99 (define @v.0.BOUND_VARIABLE_583 () (alf.var "BOUND_VARIABLE_583" $$unsorted)) 25.75/25.99 (define @t1 () (@list @v.0.A)) 25.75/25.99 (define @t2 () (@list @v.0.Z)) 25.75/25.99 (define @t3 () (@list @v.0.B @v.0.X @v.0.Y @v.0.U @v.0.V)) 25.75/25.99 (define @t4 () (= tptp.case (lambda @t3 (_ tptp.eps (lambda @t2 (or (and (= @v.0.B (lambda @t1 false)) (= @v.0.Z @v.0.X)) (and (= @v.0.B (lambda (@list @v.0._lvar_0) (not @v.0._lvar_0))) (= @v.0.Z @v.0.Y)) (and (= @v.0.B (lambda @t1 @v.0.A)) (= @v.0.Z @v.0.U)) (and (= @v.0.B (lambda @t1 true)) (= @v.0.Z @v.0.V)))))))) 25.75/25.99 (define @t5 () (_ tptp.f3 true)) 25.75/25.99 (define @t6 () (= @t5 true)) 25.75/25.99 (define @t7 () (_ tptp.f1 true)) 25.75/25.99 (define @t8 () (= @t7 false)) 25.75/25.99 (define @t9 () (_ tptp.f0 false)) 25.75/25.99 (define @t10 () (= @t9 false)) 25.75/25.99 (define @t11 () (forall (@list @v.0.P) (=> (exists (@list @v.0.X) (_ @v.0.P @v.0.X)) (_ @v.0.P (_ tptp.eps @v.0.P))))) 25.75/25.99 (define @t12 () (_ tptp.f1 false)) 25.75/25.99 (define @t13 () (= @t12 true)) 25.75/25.99 (define @t14 () (_ tptp.f2 false)) 25.75/25.99 (define @t15 () (= @t14 false)) 25.75/25.99 (define @t16 () (not (forall (@list @v.0.X @v.0.Y @v.0.U @v.0.V) (and (= (_ (_ (_ (_ (_ tptp.case tptp.f1) @v.0.X) @v.0.Y) @v.0.U) @v.0.V) @v.0.Y) (= (_ (_ (_ (_ (_ tptp.case tptp.f3) @v.0.X) @v.0.Y) @v.0.U) @v.0.V) @v.0.V) (= (_ (_ (_ (_ (_ tptp.case tptp.f2) @v.0.X) @v.0.Y) @v.0.U) @v.0.V) @v.0.U) (= (_ (_ (_ (_ (_ tptp.case tptp.f0) @v.0.X) @v.0.Y) @v.0.U) @v.0.V) @v.0.X))))) 25.75/25.99 (define @t17 () (_ tptp.f3 false)) 25.75/25.99 (define @t18 () (= @t17 true)) 25.75/25.99 (define @t19 () (_ tptp.f2 true)) 25.75/25.99 (define @t20 () (= @t19 true)) 25.75/25.99 (define @t21 () (_ tptp.f0 true)) 25.75/25.99 (define @t22 () (= @t21 false)) 25.75/25.99 (define @t23 () (lambda (@list @v.0.BOUND_VARIABLE_1736) true)) 25.75/25.99 (define @t24 () (= tptp.f0 @t23)) 25.75/25.99 (define @t25 () (lambda (@list @v.0.BOUND_VARIABLE_1745) (ite (= @v.0.BOUND_VARIABLE_1745 false) false true))) 25.75/25.99 (define @t26 () (= tptp.f0 @t25)) 25.75/25.99 (define @t27 () (lambda (@list @v.0.BOUND_VARIABLE_1756) (ite (= @v.0.BOUND_VARIABLE_1756 true) false true))) 25.75/25.99 (define @t28 () (= tptp.f0 @t27)) 25.75/25.99 (define @t29 () (lambda (@list @v.0.BOUND_VARIABLE_1767) false)) 25.75/25.99 (define @t30 () (= tptp.f0 @t29)) 25.75/25.99 (define @t31 () (= @v.0.BOUND_VARIABLE_610 (tptp.eps (lambda @t2 (or (and @t30 (= @v.0.Z @v.0.BOUND_VARIABLE_610)) (and @t28 (= @v.0.Z @v.0.BOUND_VARIABLE_612)) (and @t26 (= @v.0.Z @v.0.BOUND_VARIABLE_614)) (and @t24 (= @v.0.Z @v.0.BOUND_VARIABLE_616))))))) 25.75/25.99 (define @t32 () (@list @v.0.BOUND_VARIABLE_610 @v.0.BOUND_VARIABLE_612 @v.0.BOUND_VARIABLE_614 @v.0.BOUND_VARIABLE_616)) 25.75/25.99 (define @t33 () (exists @t32 (not @t31))) 25.75/25.99 (define @t34 () (@quantifiers_skolemize @t33 @v.0.BOUND_VARIABLE_616)) 25.75/25.99 (define @t35 () (@quantifiers_skolemize @t33 @v.0.BOUND_VARIABLE_614)) 25.75/25.99 (define @t36 () (@quantifiers_skolemize @t33 @v.0.BOUND_VARIABLE_612)) 25.75/25.99 (define @t37 () (@quantifiers_skolemize @t33 @v.0.BOUND_VARIABLE_610)) 25.75/25.99 (define @t38 () (or (and @t30 (= @v.0.Z @t37)) (and @t28 (= @v.0.Z @t36)) (and @t26 (= @v.0.Z @t35)) (and @t24 (= @v.0.Z @t34)))) 25.75/25.99 (define @t39 () (lambda @t2 @t38)) 25.75/25.99 (define @t40 () (@purify @t39)) 25.75/25.99 (define @t41 () (_ @t40 @v.0.Z)) 25.75/25.99 (define @t42 () (forall @t2 (= @t38 @t41))) 25.75/25.99 (define @t43 () (forall @t2 (= @t41 (_ @t39 @v.0.Z)))) 25.75/25.99 (define @t44 () (tptp.eps @t40)) 25.75/25.99 (define @t45 () (= @t34 @t44)) 25.75/25.99 (define @t46 () (@purify @t23)) 25.75/25.99 (define @t47 () (= @t35 @t44)) 25.75/25.99 (define @t48 () (@purify @t25)) 25.75/25.99 (define @t49 () (= @t36 @t44)) 25.75/25.99 (define @t50 () (@purify @t27)) 25.75/25.99 (define @t51 () (= @t37 @t44)) 25.75/25.99 (define @t52 () (@purify @t29)) 25.75/25.99 (define @t53 () (_ @t40 @t44)) 25.75/25.99 (define @t54 () (= tptp.f0 @t46)) 25.75/25.99 (define @t55 () (and @t54 @t45)) 25.75/25.99 (define @t56 () (= tptp.f0 @t48)) 25.75/25.99 (define @t57 () (and @t56 @t47)) 25.75/25.99 (define @t58 () (= tptp.f0 @t50)) 25.75/25.99 (define @t59 () (and @t58 @t49)) 25.75/25.99 (define @t60 () (= tptp.f0 @t52)) 25.75/25.99 (define @t61 () (and @t60 @t51)) 25.75/25.99 (define @t62 () (or @t61 @t59 @t57 @t55)) 25.75/25.99 (define @t63 () (= @t53 @t62)) 25.75/25.99 (define @t64 () (= @t37 @t34)) 25.75/25.99 (define @t65 () (= @t37 @t35)) 25.75/25.99 (define @t66 () (= @t37 @t36)) 25.75/25.99 (define @t67 () (_ @t40 @t37)) 25.75/25.99 (define @t68 () (and @t24 @t64)) 25.75/25.99 (define @t69 () (and @t26 @t65)) 25.75/25.99 (define @t70 () (and @t28 @t66)) 25.75/25.99 (define @t71 () (or @t60 (and @t58 @t66) (and @t56 @t65) (and @t54 @t64))) 25.75/25.99 (define @t72 () (= @t67 @t71)) 25.75/25.99 (define @t73 () (@purify true)) 25.75/25.99 (define @t74 () (tptp.f0 @t73)) 25.75/25.99 (define @t75 () (= @t73 true)) 25.75/25.99 (define @t76 () (const 0 Bool)) 25.75/25.99 (define @t77 () (@purify @t76)) 25.75/25.99 (define @t78 () (tptp.f0 @t77)) 25.75/25.99 (define @t79 () (not @t78)) 25.75/25.99 (define @t80 () (not @t77)) 25.75/25.99 (define @t81 () (not @t74)) 25.75/25.99 (define @t82 () (not @t73)) 25.75/25.99 (define @t83 () (and @t81 @t73 @t77 @t78)) 25.75/25.99 (define @t84 () (@purify false)) 25.75/25.99 (define @t85 () (tptp.f0 @t84)) 25.75/25.99 (define @t86 () (not @t84)) 25.75/25.99 (define @t87 () (= @t84 false)) 25.75/25.99 (define @t88 () (not @t85)) 25.75/25.99 (define @t89 () (and @t88 @t86 @t80 @t78)) 25.75/25.99 (define @t90 () (not @t60)) 25.75/25.99 (define @t91 () (not @t67)) 25.75/25.99 (define @t92 () (or @t91 @t53)) 25.75/25.99 (define @t93 () (= tptp.f2 @t23)) 25.75/25.99 (define @t94 () (= tptp.f2 @t25)) 25.75/25.99 (define @t95 () (= tptp.f2 @t27)) 25.75/25.99 (define @t96 () (= tptp.f2 @t29)) 25.75/25.99 (define @t97 () (= @v.0.BOUND_VARIABLE_598 (tptp.eps (lambda @t2 (or (and @t96 (= @v.0.Z @v.0.BOUND_VARIABLE_594)) (and @t95 (= @v.0.Z @v.0.BOUND_VARIABLE_596)) (and @t94 (= @v.0.Z @v.0.BOUND_VARIABLE_598)) (and @t93 (= @v.0.Z @v.0.BOUND_VARIABLE_600))))))) 25.75/25.99 (define @t98 () (@list @v.0.BOUND_VARIABLE_594 @v.0.BOUND_VARIABLE_596 @v.0.BOUND_VARIABLE_598 @v.0.BOUND_VARIABLE_600)) 25.75/25.99 (define @t99 () (exists @t98 (not @t97))) 25.75/25.99 (define @t100 () (@quantifiers_skolemize @t99 @v.0.BOUND_VARIABLE_600)) 25.75/25.99 (define @t101 () (@quantifiers_skolemize @t99 @v.0.BOUND_VARIABLE_598)) 25.75/25.99 (define @t102 () (@quantifiers_skolemize @t99 @v.0.BOUND_VARIABLE_596)) 25.75/25.99 (define @t103 () (@quantifiers_skolemize @t99 @v.0.BOUND_VARIABLE_594)) 25.75/25.99 (define @t104 () (or (and @t96 (= @v.0.Z @t103)) (and @t95 (= @v.0.Z @t102)) (and @t94 (= @v.0.Z @t101)) (and @t93 (= @v.0.Z @t100)))) 25.75/25.99 (define @t105 () (lambda @t2 @t104)) 25.75/25.99 (define @t106 () (@purify @t105)) 25.75/25.99 (define @t107 () (_ @t106 @v.0.Z)) 25.75/25.99 (define @t108 () (forall @t2 (= @t104 @t107))) 25.75/25.99 (define @t109 () (forall @t2 (= @t107 (_ @t105 @v.0.Z)))) 25.75/25.99 (define @t110 () (tptp.eps @t106)) 25.75/25.99 (define @t111 () (= @t100 @t110)) 25.75/25.99 (define @t112 () (= @t101 @t110)) 25.75/25.99 (define @t113 () (= @t102 @t110)) 25.75/25.99 (define @t114 () (= @t103 @t110)) 25.75/25.99 (define @t115 () (_ @t106 @t110)) 25.75/25.99 (define @t116 () (= tptp.f2 @t46)) 25.75/25.99 (define @t117 () (and @t116 @t111)) 25.75/25.99 (define @t118 () (= tptp.f2 @t48)) 25.75/25.99 (define @t119 () (and @t118 @t112)) 25.75/25.99 (define @t120 () (= tptp.f2 @t50)) 25.75/25.99 (define @t121 () (and @t120 @t113)) 25.75/25.99 (define @t122 () (= tptp.f2 @t52)) 25.75/25.99 (define @t123 () (and @t122 @t114)) 25.75/25.99 (define @t124 () (or @t123 @t121 @t119 @t117)) 25.75/25.99 (define @t125 () (= @t115 @t124)) 25.75/25.99 (define @t126 () (= @t101 @t100)) 25.75/25.99 (define @t127 () (= @t102 @t101)) 25.75/25.99 (define @t128 () (= @t103 @t101)) 25.75/25.99 (define @t129 () (_ @t106 @t101)) 25.75/25.99 (define @t130 () (and @t93 @t126)) 25.75/25.99 (define @t131 () (or (and @t122 @t128) (and @t120 @t127) @t118 (and @t116 @t126))) 25.75/25.99 (define @t132 () (= @t129 @t131)) 25.75/25.99 (define @t133 () (const 1 Bool)) 25.75/25.99 (define @t134 () (@purify @t133)) 25.75/25.99 (define @t135 () (tptp.f2 @t134)) 25.75/25.99 (define @t136 () (= @t134 @t135)) 25.75/25.99 (define @t137 () (not @t135)) 25.75/25.99 (define @t138 () (not @t134)) 25.75/25.99 (define @t139 () (tptp.f2 @t73)) 25.75/25.99 (define @t140 () (and @t73 @t139 @t134)) 25.75/25.99 (define @t141 () (not @t139)) 25.75/25.99 (define @t142 () (tptp.f2 @t84)) 25.75/25.99 (define @t143 () (not @t142)) 25.75/25.99 (define @t144 () (and @t86 @t143 @t138)) 25.75/25.99 (define @t145 () (not @t118)) 25.75/25.99 (define @t146 () (not @t129)) 25.75/25.99 (define @t147 () (or @t146 @t115)) 25.75/25.99 (define @t148 () (not @t122)) 25.75/25.99 (define @t149 () (and @t139 @t122 @t60 @t81)) 25.75/25.99 (define @t150 () (not @t123)) 25.75/25.99 (define @t151 () (const 2 Bool)) 25.75/25.99 (define @t152 () (@purify @t151)) 25.75/25.99 (define @t153 () (tptp.f1 @t152)) 25.75/25.99 (define @t154 () (not @t153)) 25.75/25.99 (define @t155 () (not @t152)) 25.75/25.99 (define @t156 () (= @t155 @t153)) 25.75/25.99 (define @t157 () (tptp.f1 @t84)) 25.75/25.99 (define @t158 () (not @t157)) 25.75/25.99 (define @t159 () (and @t86 @t157 @t155)) 25.75/25.99 (define @t160 () (tptp.f1 @t73)) 25.75/25.99 (define @t161 () (not @t160)) 25.75/25.99 (define @t162 () (and @t73 @t161 @t152)) 25.75/25.99 (define @t163 () (= tptp.f1 @t50)) 25.75/25.99 (define @t164 () (tptp.f3 @t73)) 25.75/25.99 (define @t165 () (const 3 Bool)) 25.75/25.99 (define @t166 () (@purify @t165)) 25.75/25.99 (define @t167 () (tptp.f3 @t166)) 25.75/25.99 (define @t168 () (not @t167)) 25.75/25.99 (define @t169 () (not @t166)) 25.75/25.99 (define @t170 () (not @t164)) 25.75/25.99 (define @t171 () (and @t164 @t73 @t166 @t168)) 25.75/25.99 (define @t172 () (tptp.f3 @t84)) 25.75/25.99 (define @t173 () (not @t172)) 25.75/25.99 (define @t174 () (and @t172 @t86 @t169 @t168)) 25.75/25.99 (define @t175 () (= tptp.f3 @t46)) 25.75/25.99 (define @t176 () (const 4 Bool)) 25.75/25.99 (define @t177 () (@purify @t176)) 25.75/25.99 (define @t178 () (tptp.f3 @t177)) 25.75/25.99 (define @t179 () (=> @t175 (= @t178 true))) 25.75/25.99 (define @t180 () (not @t175)) 25.75/25.99 (define @t181 () (= tptp.f2 tptp.f3)) 25.75/25.99 (define @t182 () (not @t181)) 25.75/25.99 (define @t183 () (and @t143 @t181 @t172)) 25.75/25.99 (define @t184 () (tptp.f2 @t177)) 25.75/25.99 (define @t185 () (= @t178 @t184)) 25.75/25.99 (define @t186 () (not @t184)) 25.75/25.99 (define @t187 () (not @t177)) 25.75/25.99 (define @t188 () (and @t139 @t73 @t177 @t186)) 25.75/25.99 (define @t189 () (= tptp.f1 tptp.f2)) 25.75/25.99 (define @t190 () (not @t189)) 25.75/25.99 (define @t191 () (and @t157 @t189 @t86 @t187 @t186)) 25.75/25.99 (define @t192 () (not @t120)) 25.75/25.99 (define @t193 () (not @t163)) 25.75/25.99 (define @t194 () (and @t163 @t120 @t190)) 25.75/25.99 (define @t195 () (not @t121)) 25.75/25.99 (define @t196 () (not @t116)) 25.75/25.99 (define @t197 () (and @t182 @t175)) 25.75/25.99 (define @t198 () (not @t117)) 25.75/25.99 (define @t199 () (forall @t98 @t97)) 25.75/25.99 (define @t200 () (not @t199)) 25.75/25.99 (define @t201 () (= tptp.f3 @t23)) 25.75/25.99 (define @t202 () (= tptp.f3 @t25)) 25.75/25.99 (define @t203 () (= tptp.f3 @t27)) 25.75/25.99 (define @t204 () (= tptp.f3 @t29)) 25.75/25.99 (define @t205 () (= @v.0.BOUND_VARIABLE_585 (tptp.eps (lambda @t2 (or (and @t204 (= @v.0.Z @v.0.BOUND_VARIABLE_579)) (and @t203 (= @v.0.Z @v.0.BOUND_VARIABLE_581)) (and @t202 (= @v.0.Z @v.0.BOUND_VARIABLE_583)) (and @t201 (= @v.0.Z @v.0.BOUND_VARIABLE_585))))))) 25.75/25.99 (define @t206 () (@list @v.0.BOUND_VARIABLE_579 @v.0.BOUND_VARIABLE_581 @v.0.BOUND_VARIABLE_583 @v.0.BOUND_VARIABLE_585)) 25.75/25.99 (define @t207 () (exists @t206 (not @t205))) 25.75/25.99 (define @t208 () (@quantifiers_skolemize @t207 @v.0.BOUND_VARIABLE_585)) 25.75/25.99 (define @t209 () (@quantifiers_skolemize @t207 @v.0.BOUND_VARIABLE_583)) 25.75/25.99 (define @t210 () (@quantifiers_skolemize @t207 @v.0.BOUND_VARIABLE_581)) 25.75/25.99 (define @t211 () (@quantifiers_skolemize @t207 @v.0.BOUND_VARIABLE_579)) 25.75/25.99 (define @t212 () (or (and @t204 (= @v.0.Z @t211)) (and @t203 (= @v.0.Z @t210)) (and @t202 (= @v.0.Z @t209)) (and @t201 (= @v.0.Z @t208)))) 25.75/25.99 (define @t213 () (lambda @t2 @t212)) 25.75/25.99 (define @t214 () (@purify @t213)) 25.75/25.99 (define @t215 () (_ @t214 @v.0.Z)) 25.75/25.99 (define @t216 () (forall @t2 (= @t212 @t215))) 25.75/25.99 (define @t217 () (forall @t2 (= @t215 (_ @t213 @v.0.Z)))) 25.75/25.99 (define @t218 () (tptp.eps @t214)) 25.75/25.99 (define @t219 () (= @t208 @t218)) 25.75/25.99 (define @t220 () (= @t209 @t218)) 25.75/25.99 (define @t221 () (= @t210 @t218)) 25.75/25.99 (define @t222 () (= @t211 @t218)) 25.75/25.99 (define @t223 () (_ @t214 @t218)) 25.75/25.99 (define @t224 () (and @t175 @t219)) 25.75/25.99 (define @t225 () (= tptp.f3 @t48)) 25.75/25.99 (define @t226 () (and @t225 @t220)) 25.75/25.99 (define @t227 () (= tptp.f3 @t50)) 25.75/25.99 (define @t228 () (and @t227 @t221)) 25.75/25.99 (define @t229 () (= tptp.f3 @t52)) 25.75/25.99 (define @t230 () (and @t229 @t222)) 25.75/25.99 (define @t231 () (or @t230 @t228 @t226 @t224)) 25.75/25.99 (define @t232 () (= @t223 @t231)) 25.75/25.99 (define @t233 () (= @t209 @t208)) 25.75/25.99 (define @t234 () (= @t210 @t208)) 25.75/25.99 (define @t235 () (= @t211 @t208)) 25.75/25.99 (define @t236 () (_ @t214 @t208)) 25.75/25.99 (define @t237 () (or (and @t229 @t235) (and @t227 @t234) (and @t225 @t233) @t175)) 25.75/25.99 (define @t238 () (= @t236 @t237)) 25.75/25.99 (define @t239 () (not @t236)) 25.75/25.99 (define @t240 () (or @t239 @t223)) 25.75/25.99 (define @t241 () (const 5 Bool)) 25.75/25.99 (define @t242 () (@purify @t241)) 25.75/25.99 (define @t243 () (not @t242)) 25.75/25.99 (define @t244 () (tptp.f1 @t242)) 25.75/25.99 (define @t245 () (= @t244 @t243)) 25.75/25.99 (define @t246 () (tptp.f3 @t242)) 25.75/25.99 (define @t247 () (=> @t175 (= @t246 true))) 25.75/25.99 (define @t248 () (= tptp.f1 tptp.f3)) 25.75/25.99 (define @t249 () (not @t248)) 25.75/25.99 (define @t250 () (and @t161 @t248 @t164)) 25.75/25.99 (define @t251 () (= @t246 @t244)) 25.75/25.99 (define @t252 () (not @t245)) 25.75/25.99 (define @t253 () (= tptp.f0 tptp.f3)) 25.75/25.99 (define @t254 () (not @t253)) 25.75/25.99 (define @t255 () (not @t246)) 25.75/25.99 (define @t256 () (and @t81 @t253 @t73 @t242 @t246)) 25.75/25.99 (define @t257 () (not @t229)) 25.75/25.99 (define @t258 () (and @t229 @t60 @t254)) 25.75/25.99 (define @t259 () (not @t230)) 25.75/25.99 (define @t260 () (not @t227)) 25.75/25.99 (define @t261 () (and @t249 @t227)) 25.75/25.99 (define @t262 () (not @t228)) 25.75/25.99 (define @t263 () (not @t225)) 25.75/25.99 (define @t264 () (and @t182 @t225)) 25.75/25.99 (define @t265 () (not @t226)) 25.75/25.99 (define @t266 () (forall @t206 @t205)) 25.75/25.99 (define @t267 () (not @t266)) 25.75/25.99 (define @t268 () (= tptp.f1 @t23)) 25.75/25.99 (define @t269 () (= tptp.f1 @t25)) 25.75/25.99 (define @t270 () (= tptp.f1 @t27)) 25.75/25.99 (define @t271 () (= tptp.f1 @t29)) 25.75/25.99 (define @t272 () (= @v.0.BOUND_VARIABLE_566 (tptp.eps (lambda @t2 (or (and @t271 (= @v.0.Z @v.0.BOUND_VARIABLE_564)) (and @t270 (= @v.0.Z @v.0.BOUND_VARIABLE_566)) (and @t269 (= @v.0.Z @v.0.BOUND_VARIABLE_568)) (and @t268 (= @v.0.Z @v.0.BOUND_VARIABLE_570))))))) 25.75/25.99 (define @t273 () (@list @v.0.BOUND_VARIABLE_564 @v.0.BOUND_VARIABLE_566 @v.0.BOUND_VARIABLE_568 @v.0.BOUND_VARIABLE_570)) 25.75/25.99 (define @t274 () (exists @t273 (not @t272))) 25.75/25.99 (define @t275 () (@quantifiers_skolemize @t274 @v.0.BOUND_VARIABLE_570)) 25.75/25.99 (define @t276 () (@quantifiers_skolemize @t274 @v.0.BOUND_VARIABLE_568)) 25.75/25.99 (define @t277 () (@quantifiers_skolemize @t274 @v.0.BOUND_VARIABLE_566)) 25.75/25.99 (define @t278 () (@quantifiers_skolemize @t274 @v.0.BOUND_VARIABLE_564)) 25.75/25.99 (define @t279 () (or (and @t271 (= @v.0.Z @t278)) (and @t270 (= @v.0.Z @t277)) (and @t269 (= @v.0.Z @t276)) (and @t268 (= @v.0.Z @t275)))) 25.75/25.99 (define @t280 () (lambda @t2 @t279)) 25.75/25.99 (define @t281 () (@purify @t280)) 25.75/25.99 (define @t282 () (_ @t281 @v.0.Z)) 25.75/25.99 (define @t283 () (forall @t2 (= @t279 @t282))) 25.75/25.99 (define @t284 () (forall @t2 (= @t282 (_ @t280 @v.0.Z)))) 25.75/25.99 (define @t285 () (tptp.eps @t281)) 25.75/25.99 (define @t286 () (= @t275 @t285)) 25.75/25.99 (define @t287 () (= @t276 @t285)) 25.75/25.99 (define @t288 () (= @t277 @t285)) 25.75/25.99 (define @t289 () (= @t278 @t285)) 25.75/25.99 (define @t290 () (_ @t281 @t285)) 25.75/25.99 (define @t291 () (= tptp.f1 @t46)) 25.75/25.99 (define @t292 () (and @t291 @t286)) 25.75/25.99 (define @t293 () (= tptp.f1 @t48)) 25.75/25.99 (define @t294 () (and @t293 @t287)) 25.75/25.99 (define @t295 () (and @t163 @t288)) 25.75/25.99 (define @t296 () (= tptp.f1 @t52)) 25.75/25.99 (define @t297 () (and @t296 @t289)) 25.75/25.99 (define @t298 () (or @t297 @t295 @t294 @t292)) 25.75/25.99 (define @t299 () (= @t290 @t298)) 25.75/25.99 (define @t300 () (= @t277 @t275)) 25.75/25.99 (define @t301 () (= @t277 @t276)) 25.75/25.99 (define @t302 () (= @t278 @t277)) 25.75/25.99 (define @t303 () (_ @t281 @t277)) 25.75/25.99 (define @t304 () (and @t268 @t300)) 25.75/25.99 (define @t305 () (and @t269 @t301)) 25.75/25.99 (define @t306 () (or (and @t296 @t302) @t163 (and @t293 @t301) (and @t291 @t300))) 25.75/25.99 (define @t307 () (= @t303 @t306)) 25.75/25.99 (define @t308 () (not @t303)) 25.75/25.99 (define @t309 () (or @t308 @t290)) 25.75/25.99 (define @t310 () (=> @t296 (= @t157 false))) 25.75/25.99 (define @t311 () (not @t296)) 25.75/25.99 (define @t312 () (not @t297)) 25.75/25.99 (define @t313 () (not @t293)) 25.75/25.99 (define @t314 () (and @t190 @t118)) 25.75/25.99 (define @t315 () (not @t294)) 25.75/25.99 (define @t316 () (not @t291)) 25.75/25.99 (define @t317 () (and @t163 @t291 @t175 @t249)) 25.75/25.99 (define @t318 () (not @t292)) 25.75/25.99 (define @t319 () (forall @t273 @t272)) 25.75/25.99 (define @t320 () (not @t319)) 25.75/25.99 (define @t321 () (forall @t32 @t31)) 25.75/25.99 (define @t322 () (not (and (forall @t273 (= @v.0.BOUND_VARIABLE_566 (tptp.case tptp.f1 @v.0.BOUND_VARIABLE_564 @v.0.BOUND_VARIABLE_566 @v.0.BOUND_VARIABLE_568 @v.0.BOUND_VARIABLE_570))) (forall @t206 (= @v.0.BOUND_VARIABLE_585 (tptp.case tptp.f3 @v.0.BOUND_VARIABLE_579 @v.0.BOUND_VARIABLE_581 @v.0.BOUND_VARIABLE_583 @v.0.BOUND_VARIABLE_585))) (forall @t98 (= @v.0.BOUND_VARIABLE_598 (tptp.case tptp.f2 @v.0.BOUND_VARIABLE_594 @v.0.BOUND_VARIABLE_596 @v.0.BOUND_VARIABLE_598 @v.0.BOUND_VARIABLE_600))) (forall @t32 (= @v.0.BOUND_VARIABLE_610 (tptp.case tptp.f0 @v.0.BOUND_VARIABLE_610 @v.0.BOUND_VARIABLE_612 @v.0.BOUND_VARIABLE_614 @v.0.BOUND_VARIABLE_616)))))) 25.75/25.99 (define @t323 () (not @t321)) 25.75/25.99 (define @t324 () (not @t51)) 25.75/25.99 (define @t325 () (not @t61)) 25.75/25.99 (define @t326 () (= tptp.f0 tptp.f1)) 25.75/25.99 (define @t327 () (not @t326)) 25.75/25.99 (define @t328 () (and @t88 @t326 @t157)) 25.75/25.99 (define @t329 () (not @t58)) 25.75/25.99 (define @t330 () (and @t327 @t163)) 25.75/25.99 (define @t331 () (not @t59)) 25.75/25.99 (define @t332 () (not @t56)) 25.75/25.99 (define @t333 () (and @t60 @t56 @t118 @t148)) 25.75/25.99 (define @t334 () (not @t57)) 25.75/25.99 (define @t335 () (not @t54)) 25.75/25.99 (define @t336 () (and @t254 @t175)) 25.75/25.99 (define @t337 () (not @t55)) 25.75/25.99 (define @t338 () (not @t62)) 25.75/25.99 (assume @p1 @t4) 25.75/25.99 (assume @p2 @t6) 25.75/25.99 (assume @p3 @t8) 25.75/25.99 (assume @p4 @t10) 25.75/25.99 (assume @p5 @t11) 25.75/25.99 (assume @p6 @t13) 25.75/25.99 (assume @p7 @t15) 25.75/25.99 (assume @p8 @t16) 25.75/25.99 (assume @p9 @t18) 25.75/25.99 (assume @p10 @t20) 25.75/25.99 (assume @p11 @t22) 25.75/25.99 (assume @p12 true) 25.75/25.99 ; WARNING: add trust step for MACRO_REWRITE 25.75/25.99 ; trust MACRO_REWRITE 25.75/25.99 (step @p13 :rule trust :premises () :args ((= @t43 @t42))) 25.75/25.99 ; WARNING: add trust step for MACRO_SR_PRED_INTRO 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p14 :rule trust :premises () :args (@t43)) 25.75/25.99 (step @p15 :rule eq_resolve :premises (@p14 @p13)) 25.75/25.99 (step @p16 :rule refl :args (@t45)) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p17 :rule trust :premises () :args ((= @t23 @t46))) 25.75/25.99 (step @p18 :rule refl :args (tptp.f0)) 25.75/25.99 (step @p19 :rule cong :premises (@p18 @p17) :args (=)) 25.75/25.99 (step @p20 :rule nary_cong :premises (@p19 @p16) :args (and)) 25.75/25.99 (step @p21 :rule refl :args (@t47)) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p22 :rule trust :premises () :args ((= @t25 @t48))) 25.75/25.99 (step @p23 :rule cong :premises (@p18 @p22) :args (=)) 25.75/25.99 (step @p24 :rule nary_cong :premises (@p23 @p21) :args (and)) 25.75/25.99 (step @p25 :rule refl :args (@t49)) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p26 :rule trust :premises () :args ((= @t27 @t50))) 25.75/25.99 (step @p27 :rule cong :premises (@p18 @p26) :args (=)) 25.75/25.99 (step @p28 :rule nary_cong :premises (@p27 @p25) :args (and)) 25.75/25.99 (step @p29 :rule refl :args (@t51)) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p30 :rule trust :premises () :args ((= @t29 @t52))) 25.75/25.99 (step @p31 :rule cong :premises (@p18 @p30) :args (=)) 25.75/25.99 (step @p32 :rule nary_cong :premises (@p31 @p29) :args (and)) 25.75/25.99 (step @p33 :rule nary_cong :premises (@p32 @p28 @p24 @p20) :args (or)) 25.75/25.99 (step @p34 :rule refl :args (@t53)) 25.75/25.99 (step @p35 :rule cong :premises (@p34 @p33) :args (=)) 25.75/25.99 (step @p36 :rule refl :args (@t42)) 25.75/25.99 (step @p37 :rule cong :premises (@p36 @p35) :args (=>)) 25.75/25.99 (assume-push @p38 @t42) 25.75/25.99 (step @p39 :rule instantiate :premises (@p15) :args ((@list @t44))) 25.75/25.99 (step-pop @p1383 :rule scope :premises (@p39)) 25.75/25.99 (step @p40 :rule process_scope :premises (@p1383) :args ((= (or (and @t30 (= @t44 @t37)) (and @t28 (= @t44 @t36)) (and @t26 (= @t44 @t35)) (and @t24 (= @t44 @t34))) @t53))) 25.75/25.99 ; WARNING: add trust step for MACRO_SR_PRED_ELIM 25.75/25.99 ; trust MACRO_SR_PRED_ELIM 25.75/25.99 (step @p42 :rule trust :premises (@p40) :args ((=> @t42 (= @t53 (or (and @t30 @t51) (and @t28 @t49) (and @t26 @t47) (and @t24 @t45)))))) 25.75/25.99 (step @p43 :rule eq_resolve :premises (@p42 @p37)) 25.75/25.99 (step @p44 :rule implies_elim :premises (@p43)) 25.75/25.99 ; WARNING: add trust step for MACRO_RESOLUTION_TRUST 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p45 :rule trust :premises (@p44 @p15) :args (@t63)) 25.75/25.99 ; WARNING: add trust step for MACRO_SR_EQ_INTRO 25.75/25.99 ; trust MACRO_SR_EQ_INTRO 25.75/25.99 (step @p46 :rule trust :premises () :args ((= @t11 (forall (@list @v.0.P @v.0.BOUND_VARIABLE_547) (or (not (@v.0.P @v.0.BOUND_VARIABLE_547)) (@v.0.P (tptp.eps @v.0.P))))))) 25.75/25.99 (step @p47 :rule eq_resolve :premises (@p5 @p46)) 25.75/25.99 (step @p48 :rule instantiate :premises (@p47) :args ((@list @t40 @t37))) 25.75/25.99 (step @p49 :rule refl :args (@t64)) 25.75/25.99 (step @p50 :rule nary_cong :premises (@p19 @p49) :args (and)) 25.75/25.99 (step @p51 :rule refl :args (@t65)) 25.75/25.99 (step @p52 :rule nary_cong :premises (@p23 @p51) :args (and)) 25.75/25.99 (step @p53 :rule refl :args (@t66)) 25.75/25.99 (step @p54 :rule nary_cong :premises (@p27 @p53) :args (and)) 25.75/25.99 (step @p55 :rule nary_cong :premises (@p31 @p54 @p52 @p50) :args (or)) 25.75/25.99 (step @p56 :rule refl :args (@t67)) 25.75/25.99 (step @p57 :rule cong :premises (@p56 @p55) :args (=)) 25.75/25.99 (step @p58 :rule cong :premises (@p36 @p57) :args (=>)) 25.75/25.99 (assume-push @p59 @t42) 25.75/25.99 (step @p60 :rule instantiate :premises (@p15) :args ((@list @t37))) 25.75/25.99 (step-pop @p1384 :rule scope :premises (@p60)) 25.75/25.99 (step @p61 :rule process_scope :premises (@p1384) :args ((= (or (and @t30 (= @t37 @t37)) @t70 @t69 @t68) @t67))) 25.75/25.99 ; trust MACRO_SR_PRED_ELIM 25.75/25.99 (step @p63 :rule trust :premises (@p61) :args ((=> @t42 (= @t67 (or @t30 @t70 @t69 @t68))))) 25.75/25.99 (step @p64 :rule eq_resolve :premises (@p63 @p58)) 25.75/25.99 (step @p65 :rule implies_elim :premises (@p64)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p66 :rule trust :premises (@p65 @p15) :args (@t72)) 25.75/25.99 ; WARNING: add trust step for TRUST 25.75/25.99 ; trust TRUST 25.75/25.99 (step @p67 :rule trust :premises () :args ((= (_ tptp.f0 @t73) @t74))) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p68 :rule trust :premises () :args ((= true @t73))) 25.75/25.99 (step @p69 :rule ho_cong :premises (@p18 @p68)) 25.75/25.99 (step @p70 :rule trans :premises (@p69 @p67)) 25.75/25.99 (step @p71 :rule cong :premises (@p70) :args (not)) 25.75/25.99 ; trust MACRO_SR_EQ_INTRO 25.75/25.99 (step @p72 :rule trust :premises () :args ((= @t22 (not @t21)))) 25.75/25.99 (step @p73 :rule trans :premises (@p72 @p71)) 25.75/25.99 (step @p74 :rule eq_resolve :premises (@p11 @p73)) 25.75/25.99 ; trust MACRO_REWRITE 25.75/25.99 (step @p75 :rule trust :premises () :args ((= @t75 @t73))) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p76 :rule trust :premises () :args (@t75)) 25.75/25.99 (step @p77 :rule eq_resolve :premises (@p76 @p75)) 25.75/25.99 (step @p78 :rule refl :args (@t79)) 25.75/25.99 (step @p79 :rule refl :args (@t80)) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p80 :rule trust :premises () :args ((= (not @t81) @t74))) 25.75/25.99 (step @p81 :rule refl :args (@t82)) 25.75/25.99 (step @p82 :rule nary_cong :premises (@p81 @p80 @p79 @p78) :args (or)) 25.75/25.99 (assume-push @p83 @t81) 25.75/25.99 (assume-push @p84 @t73) 25.75/25.99 (assume-push @p85 @t77) 25.75/25.99 (assume-push @p86 @t78) 25.75/25.99 (step @p87 :rule false_intro :premises (@p74)) 25.75/25.99 (step @p88 :rule true_intro :premises (@p85)) 25.75/25.99 (step @p89 :rule trans :premises (@p88 @p68)) 25.75/25.99 (step @p90 :rule cong :premises (@p89) :args (tptp.f0)) 25.75/25.99 (step @p91 :rule true_intro :premises (@p86)) 25.75/25.99 (step @p92 :rule symm :premises (@p91)) 25.75/25.99 (step @p93 :rule trans :premises (@p92 @p90 @p87)) 25.75/25.99 ; trust MACRO_SR_PRED_ELIM 25.75/25.99 (step @p94 false :rule trust :premises (@p93) :args (false)) 25.75/25.99 (step-pop @p1385 :rule scope :premises (@p94)) 25.75/25.99 (step-pop @p1386 :rule scope :premises (@p1385)) 25.75/25.99 (step-pop @p1387 :rule scope :premises (@p1386)) 25.75/25.99 (step-pop @p1388 :rule scope :premises (@p1387)) 25.75/25.99 (step @p95 :rule process_scope :premises (@p1388) :args (false)) 25.75/25.99 (assume-push @p100 @t73) 25.75/25.99 (assume-push @p101 @t81) 25.75/25.99 (assume-push @p102 @t77) 25.75/25.99 (assume-push @p103 @t78) 25.75/25.99 (step @p104 :rule and_intro :premises (@p74 @p77 @p85 @p86)) 25.75/25.99 (step-pop @p1389 :rule scope :premises (@p104)) 25.75/25.99 (step-pop @p1390 :rule scope :premises (@p1389)) 25.75/25.99 (step-pop @p1391 :rule scope :premises (@p1390)) 25.75/25.99 (step-pop @p1392 :rule scope :premises (@p1391)) 25.75/25.99 (step @p105 :rule process_scope :premises (@p1392) :args (@t83)) 25.75/25.99 (step @p110 :rule implies_elim :premises (@p105)) 25.75/25.99 (step @p111 :rule resolution :premises (@p110 @p95) :args (true @t83)) 25.75/25.99 (step @p112 :rule not_and :premises (@p111)) 25.75/25.99 (step @p113 :rule eq_resolve :premises (@p112 @p82)) 25.75/25.99 (step @p114 :rule reordering :premises (@p113) :args ((or @t74 @t82 @t79 @t80))) 25.75/25.99 ; trust TRUST 25.75/25.99 (step @p115 :rule trust :premises () :args ((= (_ tptp.f0 @t84) @t85))) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p116 :rule trust :premises () :args ((= false @t84))) 25.75/25.99 (step @p117 :rule ho_cong :premises (@p18 @p116)) 25.75/25.99 (step @p118 :rule trans :premises (@p117 @p115)) 25.75/25.99 (step @p119 :rule cong :premises (@p118) :args (not)) 25.75/25.99 ; trust MACRO_SR_EQ_INTRO 25.75/25.99 (step @p120 :rule trust :premises () :args ((= @t10 (not @t9)))) 25.75/25.99 (step @p121 :rule trans :premises (@p120 @p119)) 25.75/25.99 (step @p122 :rule eq_resolve :premises (@p4 @p121)) 25.75/25.99 ; trust MACRO_REWRITE 25.75/25.99 (step @p123 :rule trust :premises () :args ((= @t87 @t86))) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p124 :rule trust :premises () :args (@t87)) 25.75/25.99 (step @p125 :rule eq_resolve :premises (@p124 @p123)) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p126 :rule trust :premises () :args ((= (not @t80) @t77))) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p127 :rule trust :premises () :args ((= (not @t86) @t84))) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p128 :rule trust :premises () :args ((= (not @t88) @t85))) 25.75/25.99 (step @p129 :rule nary_cong :premises (@p128 @p127 @p78 @p126) :args (or)) 25.75/25.99 (assume-push @p130 @t88) 25.75/25.99 (assume-push @p131 @t86) 25.75/25.99 (assume-push @p132 @t80) 25.75/25.99 (assume-push @p133 @t78) 25.75/25.99 (step @p134 :rule false_intro :premises (@p122)) 25.75/25.99 (step @p135 :rule false_intro :premises (@p132)) 25.75/25.99 (step @p136 :rule trans :premises (@p135 @p116)) 25.75/25.99 (step @p137 :rule cong :premises (@p136) :args (tptp.f0)) 25.75/25.99 (step @p138 :rule true_intro :premises (@p86)) 25.75/25.99 (step @p139 :rule symm :premises (@p138)) 25.75/25.99 (step @p140 :rule trans :premises (@p139 @p137 @p134)) 25.75/25.99 ; trust MACRO_SR_PRED_ELIM 25.75/25.99 (step @p141 false :rule trust :premises (@p140) :args (false)) 25.75/25.99 (step-pop @p1393 :rule scope :premises (@p141)) 25.75/25.99 (step-pop @p1394 :rule scope :premises (@p1393)) 25.75/25.99 (step-pop @p1395 :rule scope :premises (@p1394)) 25.75/25.99 (step-pop @p1396 :rule scope :premises (@p1395)) 25.75/25.99 (step @p142 :rule process_scope :premises (@p1396) :args (false)) 25.75/25.99 (assume-push @p147 @t88) 25.75/25.99 (assume-push @p148 @t86) 25.75/25.99 (assume-push @p149 @t78) 25.75/25.99 (assume-push @p150 @t80) 25.75/25.99 (step @p151 :rule and_intro :premises (@p122 @p125 @p132 @p86)) 25.75/25.99 (step-pop @p1397 :rule scope :premises (@p151)) 25.75/25.99 (step-pop @p1398 :rule scope :premises (@p1397)) 25.75/25.99 (step-pop @p1399 :rule scope :premises (@p1398)) 25.75/25.99 (step-pop @p1400 :rule scope :premises (@p1399)) 25.75/25.99 (step @p152 :rule process_scope :premises (@p1400) :args (@t89)) 25.75/25.99 (step @p157 :rule implies_elim :premises (@p152)) 25.75/25.99 (step @p158 :rule resolution :premises (@p157 @p142) :args (true @t89)) 25.75/25.99 (step @p159 :rule not_and :premises (@p158)) 25.75/25.99 (step @p160 :rule eq_resolve :premises (@p159 @p129)) 25.75/25.99 (step @p161 :rule reordering :premises (@p160) :args ((or @t84 @t85 @t77 @t79))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p162 :rule trust :premises (@p161 @p125 @p122 @p114 @p77 @p74) :args (@t79)) 25.75/25.99 ; trust MACRO_REWRITE 25.75/25.99 (step @p163 :rule trust :premises () :args ((= (not @t79) @t78))) 25.75/25.99 ; trust MACRO_REWRITE 25.75/25.99 (step @p164 :rule trust :premises () :args ((= (= @t78 false) @t79))) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p165 :rule trust :premises () :args ((= (_ @t52 @t77) false))) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p166 :rule trust :premises () :args ((= @t76 @t77))) 25.75/25.99 (step @p167 :rule cong :premises (@p166) :args (@t52)) 25.75/25.99 (step @p168 :rule trans :premises (@p167 @p165)) 25.75/25.99 (step @p169 :rule cong :premises (@p166) :args (tptp.f0)) 25.75/25.99 (step @p170 :rule cong :premises (@p169 @p168) :args (=)) 25.75/25.99 (step @p171 :rule trans :premises (@p170 @p164)) 25.75/25.99 (step @p172 :rule cong :premises (@p171) :args (not)) 25.75/25.99 (step @p173 :rule trans :premises (@p172 @p163)) 25.75/25.99 (step @p174 :rule refl :args (@t60)) 25.75/25.99 (step @p175 :rule nary_cong :premises (@p174 @p173) :args (or)) 25.75/25.99 ; trust TRUST 25.75/25.99 (step @p176 :rule trust :premises () :args ((or @t60 (not (= (tptp.f0 @t76) (_ @t52 @t76)))))) 25.75/25.99 (step @p177 :rule eq_resolve :premises (@p176 @p175)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p178 :rule trust :premises (@p177 @p162) :args (@t60)) 25.75/25.99 (step @p179 :rule cnf_or_neg :args (@t71 0)) 25.75/25.99 (step @p180 :rule reordering :premises (@p179) :args ((or @t90 @t71))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p181 :rule trust :premises (@p180 @p178) :args (@t71)) 25.75/25.99 (step @p182 :rule cnf_equiv_pos2 :args (@t72)) 25.75/25.99 (step @p183 :rule reordering :premises (@p182) :args ((or @t67 (not @t71) (not @t72)))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p184 :rule trust :premises (@p183 @p181 @p66) :args (@t67)) 25.75/25.99 (step @p185 :rule cnf_or_pos :args (@t92)) 25.75/25.99 (step @p186 :rule reordering :premises (@p185) :args ((or @t53 @t91 (not @t92)))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p187 :rule trust :premises (@p186 @p184 @p48) :args (@t53)) 25.75/25.99 ; trust MACRO_REWRITE 25.75/25.99 (step @p188 :rule trust :premises () :args ((= @t109 @t108))) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p189 :rule trust :premises () :args (@t109)) 25.75/25.99 (step @p190 :rule eq_resolve :premises (@p189 @p188)) 25.75/25.99 (step @p191 :rule refl :args (@t111)) 25.75/25.99 (step @p192 :rule refl :args (tptp.f2)) 25.75/25.99 (step @p193 :rule cong :premises (@p192 @p17) :args (=)) 25.75/25.99 (step @p194 :rule nary_cong :premises (@p193 @p191) :args (and)) 25.75/25.99 (step @p195 :rule refl :args (@t112)) 25.75/25.99 (step @p196 :rule cong :premises (@p192 @p22) :args (=)) 25.75/25.99 (step @p197 :rule nary_cong :premises (@p196 @p195) :args (and)) 25.75/25.99 (step @p198 :rule refl :args (@t113)) 25.75/25.99 (step @p199 :rule cong :premises (@p192 @p26) :args (=)) 25.75/25.99 (step @p200 :rule nary_cong :premises (@p199 @p198) :args (and)) 25.75/25.99 (step @p201 :rule refl :args (@t114)) 25.75/25.99 (step @p202 :rule cong :premises (@p192 @p30) :args (=)) 25.75/25.99 (step @p203 :rule nary_cong :premises (@p202 @p201) :args (and)) 25.75/25.99 (step @p204 :rule nary_cong :premises (@p203 @p200 @p197 @p194) :args (or)) 25.75/25.99 (step @p205 :rule refl :args (@t115)) 25.75/25.99 (step @p206 :rule cong :premises (@p205 @p204) :args (=)) 25.75/25.99 (step @p207 :rule refl :args (@t108)) 25.75/25.99 (step @p208 :rule cong :premises (@p207 @p206) :args (=>)) 25.75/25.99 (assume-push @p209 @t108) 25.75/25.99 (step @p210 :rule instantiate :premises (@p190) :args ((@list @t110))) 25.75/25.99 (step-pop @p1401 :rule scope :premises (@p210)) 25.75/25.99 (step @p211 :rule process_scope :premises (@p1401) :args ((= (or (and @t96 (= @t110 @t103)) (and @t95 (= @t110 @t102)) (and @t94 (= @t110 @t101)) (and @t93 (= @t110 @t100))) @t115))) 25.75/25.99 ; trust MACRO_SR_PRED_ELIM 25.75/25.99 (step @p213 :rule trust :premises (@p211) :args ((=> @t108 (= @t115 (or (and @t96 @t114) (and @t95 @t113) (and @t94 @t112) (and @t93 @t111)))))) 25.75/25.99 (step @p214 :rule eq_resolve :premises (@p213 @p208)) 25.75/25.99 (step @p215 :rule implies_elim :premises (@p214)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p216 :rule trust :premises (@p215 @p190) :args (@t125)) 25.75/25.99 (step @p217 :rule instantiate :premises (@p47) :args ((@list @t106 @t101))) 25.75/25.99 (step @p218 :rule refl :args (@t126)) 25.75/25.99 (step @p219 :rule nary_cong :premises (@p193 @p218) :args (and)) 25.75/25.99 (step @p220 :rule refl :args (@t127)) 25.75/25.99 (step @p221 :rule nary_cong :premises (@p199 @p220) :args (and)) 25.75/25.99 (step @p222 :rule refl :args (@t128)) 25.75/25.99 (step @p223 :rule nary_cong :premises (@p202 @p222) :args (and)) 25.75/25.99 (step @p224 :rule nary_cong :premises (@p223 @p221 @p196 @p219) :args (or)) 25.75/25.99 (step @p225 :rule refl :args (@t129)) 25.75/25.99 (step @p226 :rule cong :premises (@p225 @p224) :args (=)) 25.75/25.99 (step @p227 :rule cong :premises (@p207 @p226) :args (=>)) 25.75/25.99 (assume-push @p228 @t108) 25.75/25.99 (step @p229 :rule instantiate :premises (@p190) :args ((@list @t101))) 25.75/25.99 (step-pop @p1402 :rule scope :premises (@p229)) 25.75/25.99 (step @p230 :rule process_scope :premises (@p1402) :args ((= (or (and @t96 (= @t101 @t103)) (and @t95 (= @t101 @t102)) (and @t94 (= @t101 @t101)) @t130) @t129))) 25.75/25.99 ; trust MACRO_SR_PRED_ELIM 25.75/25.99 (step @p232 :rule trust :premises (@p230) :args ((=> @t108 (= @t129 (or (and @t96 @t128) (and @t95 @t127) @t94 @t130))))) 25.75/25.99 (step @p233 :rule eq_resolve :premises (@p232 @p227)) 25.75/25.99 (step @p234 :rule implies_elim :premises (@p233)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p235 :rule trust :premises (@p234 @p190) :args (@t132)) 25.75/25.99 (step @p236 :rule cnf_equiv_neg2 :args (@t136)) 25.75/25.99 (step @p237 :rule reordering :premises (@p236) :args ((or @t138 @t136 @t137))) 25.75/25.99 ; trust TRUST 25.75/25.99 (step @p238 :rule trust :premises () :args ((= (_ tptp.f2 @t73) @t139))) 25.75/25.99 (step @p239 :rule ho_cong :premises (@p192 @p68)) 25.75/25.99 (step @p240 :rule trans :premises (@p239 @p238)) 25.75/25.99 ; trust MACRO_SR_EQ_INTRO 25.75/25.99 (step @p241 :rule trust :premises () :args ((= @t20 @t19))) 25.75/25.99 (step @p242 :rule trans :premises (@p241 @p240)) 25.75/25.99 (step @p243 :rule eq_resolve :premises (@p10 @p242)) 25.75/25.99 (assume-push @p244 @t73) 25.75/25.99 (assume-push @p245 @t139) 25.75/25.99 (assume-push @p246 @t134) 25.75/25.99 (assume-push @p247 @t139) 25.75/25.99 (assume-push @p248 @t73) 25.75/25.99 (assume-push @p249 @t134) 25.75/25.99 (step @p250 :rule true_intro :premises (@p243)) 25.75/25.99 (step @p251 :rule true_intro :premises (@p246)) 25.75/25.99 (step @p252 :rule trans :premises (@p251 @p68)) 25.75/25.99 (step @p253 :rule cong :premises (@p252) :args (tptp.f2)) 25.75/25.99 (step @p254 :rule trans :premises (@p253 @p250)) 25.75/25.99 (step @p255 :rule true_elim :premises (@p254)) 25.75/25.99 (step-pop @p1403 :rule scope :premises (@p255)) 25.75/25.99 (step-pop @p1404 :rule scope :premises (@p1403)) 25.75/25.99 (step-pop @p1405 :rule scope :premises (@p1404)) 25.75/25.99 (step @p256 :rule process_scope :premises (@p1405) :args (@t135)) 25.75/25.99 (step @p260 :rule and_intro :premises (@p243 @p77 @p246)) 25.75/25.99 (step @p261 :rule modus_ponens :premises (@p260 @p256)) 25.75/25.99 (step-pop @p1406 :rule scope :premises (@p261)) 25.75/25.99 (step-pop @p1407 :rule scope :premises (@p1406)) 25.75/25.99 (step-pop @p1408 :rule scope :premises (@p1407)) 25.75/25.99 (step @p262 :rule process_scope :premises (@p1408) :args (@t135)) 25.75/25.99 (step @p266 :rule implies_elim :premises (@p262)) 25.75/25.99 (step @p267 :rule cnf_and_neg :args (@t140)) 25.75/25.99 (step @p268 :rule resolution :premises (@p267 @p266) :args (true @t140)) 25.75/25.99 (step @p269 :rule reordering :premises (@p268) :args ((or @t141 @t82 @t138 @t135))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p270 :rule trust :premises (@p269 @p77 @p243 @p237) :args ((or @t138 @t136))) 25.75/25.99 (step @p271 :rule cnf_equiv_neg1 :args (@t136)) 25.75/25.99 (step @p272 :rule reordering :premises (@p271) :args ((or @t134 @t135 @t136))) 25.75/25.99 ; trust TRUST 25.75/25.99 (step @p273 :rule trust :premises () :args ((= (_ tptp.f2 @t84) @t142))) 25.75/25.99 (step @p274 :rule ho_cong :premises (@p192 @p116)) 25.75/25.99 (step @p275 :rule trans :premises (@p274 @p273)) 25.75/25.99 (step @p276 :rule cong :premises (@p275) :args (not)) 25.75/25.99 ; trust MACRO_SR_EQ_INTRO 25.75/25.99 (step @p277 :rule trust :premises () :args ((= @t15 (not @t14)))) 25.75/25.99 (step @p278 :rule trans :premises (@p277 @p276)) 25.75/25.99 (step @p279 :rule eq_resolve :premises (@p7 @p278)) 25.75/25.99 (step @p280 :rule refl :args (@t137)) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p281 :rule trust :premises () :args ((= (not @t138) @t134))) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p282 :rule trust :premises () :args ((= (not @t143) @t142))) 25.75/25.99 (step @p283 :rule nary_cong :premises (@p127 @p282 @p281 @p280) :args (or)) 25.75/25.99 (assume-push @p284 @t86) 25.75/25.99 (assume-push @p285 @t143) 25.75/25.99 (assume-push @p286 @t138) 25.75/25.99 (assume-push @p287 @t143) 25.75/25.99 (assume-push @p288 @t86) 25.75/25.99 (assume-push @p289 @t138) 25.75/25.99 (step @p290 :rule false_intro :premises (@p279)) 25.75/25.99 (step @p291 :rule false_intro :premises (@p286)) 25.75/25.99 (step @p292 :rule trans :premises (@p291 @p116)) 25.75/25.99 (step @p293 :rule cong :premises (@p292) :args (tptp.f2)) 25.75/25.99 (step @p294 :rule trans :premises (@p293 @p290)) 25.75/25.99 (step @p295 :rule false_elim :premises (@p294)) 25.75/25.99 (step-pop @p1409 :rule scope :premises (@p295)) 25.75/25.99 (step-pop @p1410 :rule scope :premises (@p1409)) 25.75/25.99 (step-pop @p1411 :rule scope :premises (@p1410)) 25.75/25.99 (step @p296 :rule process_scope :premises (@p1411) :args (@t137)) 25.75/25.99 (step @p300 :rule and_intro :premises (@p279 @p125 @p286)) 25.75/25.99 (step @p301 :rule modus_ponens :premises (@p300 @p296)) 25.75/25.99 (step-pop @p1412 :rule scope :premises (@p301)) 25.75/25.99 (step-pop @p1413 :rule scope :premises (@p1412)) 25.75/25.99 (step-pop @p1414 :rule scope :premises (@p1413)) 25.75/25.99 (step @p302 :rule process_scope :premises (@p1414) :args (@t137)) 25.75/25.99 (step @p306 :rule implies_elim :premises (@p302)) 25.75/25.99 (step @p307 :rule cnf_and_neg :args (@t144)) 25.75/25.99 (step @p308 :rule resolution :premises (@p307 @p306) :args (true @t144)) 25.75/25.99 (step @p309 :rule eq_resolve :premises (@p308 @p283)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p310 :rule trust :premises (@p309 @p125 @p279 @p272 @p270) :args (@t136)) 25.75/25.99 ; trust MACRO_REWRITE 25.75/25.99 (step @p311 :rule trust :premises () :args ((= (= @t135 @t134) @t136))) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p312 :rule trust :premises () :args ((= (_ @t48 @t134) @t134))) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p313 :rule trust :premises () :args ((= @t133 @t134))) 25.75/25.99 (step @p314 :rule cong :premises (@p313) :args (@t48)) 25.75/25.99 (step @p315 :rule trans :premises (@p314 @p312)) 25.75/25.99 (step @p316 :rule cong :premises (@p313) :args (tptp.f2)) 25.75/25.99 (step @p317 :rule cong :premises (@p316 @p315) :args (=)) 25.75/25.99 (step @p318 :rule trans :premises (@p317 @p311)) 25.75/25.99 (step @p319 :rule cong :premises (@p318) :args (not)) 25.75/25.99 (step @p320 :rule refl :args (@t118)) 25.75/25.99 (step @p321 :rule nary_cong :premises (@p320 @p319) :args (or)) 25.75/25.99 ; trust TRUST 25.75/25.99 (step @p322 :rule trust :premises () :args ((or @t118 (not (= (tptp.f2 @t133) (_ @t48 @t133)))))) 25.75/25.99 (step @p323 :rule eq_resolve :premises (@p322 @p321)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p324 :rule trust :premises (@p323 @p310) :args (@t118)) 25.75/25.99 (step @p325 :rule cnf_or_neg :args (@t131 2)) 25.75/25.99 (step @p326 :rule reordering :premises (@p325) :args ((or @t145 @t131))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p327 :rule trust :premises (@p326 @p324) :args (@t131)) 25.75/25.99 (step @p328 :rule cnf_equiv_pos2 :args (@t132)) 25.75/25.99 (step @p329 :rule reordering :premises (@p328) :args ((or @t129 (not @t131) (not @t132)))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p330 :rule trust :premises (@p329 @p327 @p235) :args (@t129)) 25.75/25.99 (step @p331 :rule cnf_or_pos :args (@t147)) 25.75/25.99 (step @p332 :rule reordering :premises (@p331) :args ((or @t115 @t146 (not @t147)))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p333 :rule trust :premises (@p332 @p330 @p217) :args (@t115)) 25.75/25.99 (step @p334 :rule cnf_equiv_pos1 :args (@t125)) 25.75/25.99 (step @p335 :rule reordering :premises (@p334) :args ((or (not @t115) @t124 (not @t125)))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p336 :rule trust :premises (@p335 @p333 @p216) :args (@t124)) 25.75/25.99 (step @p337 :rule refl :args (@t148)) 25.75/25.99 (step @p338 :rule refl :args (@t90)) 25.75/25.99 (step @p339 :rule refl :args (@t141)) 25.75/25.99 (step @p340 :rule nary_cong :premises (@p339 @p80 @p338 @p337) :args (or)) 25.75/25.99 (assume-push @p341 @t139) 25.75/25.99 (assume-push @p342 @t122) 25.75/25.99 (assume-push @p343 @t60) 25.75/25.99 (assume-push @p344 @t81) 25.75/25.99 (step @p345 :rule refl :args (@t73)) 25.75/25.99 (step @p346 :rule symm :premises (@p342)) 25.75/25.99 (step @p347 :rule symm :premises (@p343)) 25.75/25.99 (step @p348 :rule symm :premises (@p347)) 25.75/25.99 (step @p349 :rule trans :premises (@p348 @p346)) 25.75/25.99 (step @p350 :rule ho_cong :premises (@p349 @p345)) 25.75/25.99 (step @p351 :rule symm :premises (@p87)) 25.75/25.99 (step @p352 :rule trans :premises (@p351 @p350 @p250)) 25.75/25.99 ; trust MACRO_SR_PRED_ELIM 25.75/25.99 (step @p353 false :rule trust :premises (@p352) :args (false)) 25.75/25.99 (step-pop @p1415 :rule scope :premises (@p353)) 25.75/25.99 (step-pop @p1416 :rule scope :premises (@p1415)) 25.75/25.99 (step-pop @p1417 :rule scope :premises (@p1416)) 25.75/25.99 (step-pop @p1418 :rule scope :premises (@p1417)) 25.75/25.99 (step @p354 :rule process_scope :premises (@p1418) :args (false)) 25.75/25.99 (assume-push @p359 @t139) 25.75/25.99 (assume-push @p360 @t81) 25.75/25.99 (assume-push @p361 @t60) 25.75/25.99 (assume-push @p362 @t122) 25.75/25.99 (step @p363 :rule and_intro :premises (@p243 @p342 @p343 @p74)) 25.75/25.99 (step-pop @p1419 :rule scope :premises (@p363)) 25.75/25.99 (step-pop @p1420 :rule scope :premises (@p1419)) 25.75/25.99 (step-pop @p1421 :rule scope :premises (@p1420)) 25.75/25.99 (step-pop @p1422 :rule scope :premises (@p1421)) 25.75/25.99 (step @p364 :rule process_scope :premises (@p1422) :args (@t149)) 25.75/25.99 (step @p369 :rule implies_elim :premises (@p364)) 25.75/25.99 (step @p370 :rule resolution :premises (@p369 @p354) :args (true @t149)) 25.75/25.99 (step @p371 :rule not_and :premises (@p370)) 25.75/25.99 (step @p372 :rule eq_resolve :premises (@p371 @p340)) 25.75/25.99 (step @p373 :rule reordering :premises (@p372) :args ((or @t74 @t141 @t90 @t148))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p374 :rule trust :premises (@p373 @p74 @p243 @p178) :args (@t148)) 25.75/25.99 (step @p375 :rule cnf_and_pos :args (@t123 0)) 25.75/25.99 (step @p376 :rule reordering :premises (@p375) :args ((or @t122 @t150))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p377 :rule trust :premises (@p376 @p374) :args (@t150)) 25.75/25.99 (step @p378 :rule refl :args (@t154)) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p379 :rule trust :premises () :args ((= (not @t155) @t152))) 25.75/25.99 (step @p380 :rule refl :args (@t156)) 25.75/25.99 (step @p381 :rule nary_cong :premises (@p380 @p379 @p378) :args (or)) 25.75/25.99 (step @p382 :rule cnf_equiv_neg2 :args (@t156)) 25.75/25.99 (step @p383 :rule eq_resolve :premises (@p382 @p381)) 25.75/25.99 (step @p384 :rule reordering :premises (@p383) :args ((or @t152 @t156 @t154))) 25.75/25.99 ; trust TRUST 25.75/25.99 (step @p385 :rule trust :premises () :args ((= (_ tptp.f1 @t84) @t157))) 25.75/25.99 (step @p386 :rule refl :args (tptp.f1)) 25.75/25.99 (step @p387 :rule ho_cong :premises (@p386 @p116)) 25.75/25.99 (step @p388 :rule trans :premises (@p387 @p385)) 25.75/25.99 ; trust MACRO_SR_EQ_INTRO 25.75/25.99 (step @p389 :rule trust :premises () :args ((= @t13 @t12))) 25.75/25.99 (step @p390 :rule trans :premises (@p389 @p388)) 25.75/25.99 (step @p391 :rule eq_resolve :premises (@p6 @p390)) 25.75/25.99 (step @p392 :rule refl :args (@t153)) 25.75/25.99 (step @p393 :rule refl :args (@t158)) 25.75/25.99 (step @p394 :rule nary_cong :premises (@p127 @p393 @p379 @p392) :args (or)) 25.75/25.99 (assume-push @p395 @t86) 25.75/25.99 (assume-push @p396 @t157) 25.75/25.99 (assume-push @p397 @t155) 25.75/25.99 (assume-push @p398 @t157) 25.75/25.99 (assume-push @p399 @t86) 25.75/25.99 (assume-push @p400 @t155) 25.75/25.99 (step @p401 :rule true_intro :premises (@p391)) 25.75/25.99 (step @p402 :rule false_intro :premises (@p397)) 25.75/25.99 (step @p403 :rule trans :premises (@p402 @p116)) 25.75/25.99 (step @p404 :rule cong :premises (@p403) :args (tptp.f1)) 25.75/25.99 (step @p405 :rule trans :premises (@p404 @p401)) 25.75/25.99 (step @p406 :rule true_elim :premises (@p405)) 25.75/25.99 (step-pop @p1423 :rule scope :premises (@p406)) 25.75/25.99 (step-pop @p1424 :rule scope :premises (@p1423)) 25.75/25.99 (step-pop @p1425 :rule scope :premises (@p1424)) 25.75/25.99 (step @p407 :rule process_scope :premises (@p1425) :args (@t153)) 25.75/25.99 (step @p411 :rule and_intro :premises (@p391 @p125 @p397)) 25.75/25.99 (step @p412 :rule modus_ponens :premises (@p411 @p407)) 25.75/25.99 (step-pop @p1426 :rule scope :premises (@p412)) 25.75/25.99 (step-pop @p1427 :rule scope :premises (@p1426)) 25.75/25.99 (step-pop @p1428 :rule scope :premises (@p1427)) 25.75/25.99 (step @p413 :rule process_scope :premises (@p1428) :args (@t153)) 25.75/25.99 (step @p417 :rule implies_elim :premises (@p413)) 25.75/25.99 (step @p418 :rule cnf_and_neg :args (@t159)) 25.75/25.99 (step @p419 :rule resolution :premises (@p418 @p417) :args (true @t159)) 25.75/25.99 (step @p420 :rule eq_resolve :premises (@p419 @p394)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p421 :rule trust :premises (@p420 @p125 @p391 @p384) :args ((or @t152 @t156))) 25.75/25.99 (step @p422 :rule cnf_equiv_neg1 :args (@t156)) 25.75/25.99 (step @p423 :rule reordering :premises (@p422) :args ((or @t155 @t153 @t156))) 25.75/25.99 ; trust TRUST 25.75/25.99 (step @p424 :rule trust :premises () :args ((= (_ tptp.f1 @t73) @t160))) 25.75/25.99 (step @p425 :rule ho_cong :premises (@p386 @p68)) 25.75/25.99 (step @p426 :rule trans :premises (@p425 @p424)) 25.75/25.99 (step @p427 :rule cong :premises (@p426) :args (not)) 25.75/25.99 ; trust MACRO_SR_EQ_INTRO 25.75/25.99 (step @p428 :rule trust :premises () :args ((= @t8 (not @t7)))) 25.75/25.99 (step @p429 :rule trans :premises (@p428 @p427)) 25.75/25.99 (step @p430 :rule eq_resolve :premises (@p3 @p429)) 25.75/25.99 (step @p431 :rule refl :args (@t155)) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p432 :rule trust :premises () :args ((= (not @t161) @t160))) 25.75/25.99 (step @p433 :rule nary_cong :premises (@p81 @p432 @p431 @p378) :args (or)) 25.75/25.99 (assume-push @p434 @t73) 25.75/25.99 (assume-push @p435 @t161) 25.75/25.99 (assume-push @p436 @t152) 25.75/25.99 (assume-push @p437 @t161) 25.75/25.99 (assume-push @p438 @t73) 25.75/25.99 (assume-push @p439 @t152) 25.75/25.99 (step @p440 :rule false_intro :premises (@p430)) 25.75/25.99 (step @p441 :rule true_intro :premises (@p436)) 25.75/25.99 (step @p442 :rule trans :premises (@p441 @p68)) 25.75/25.99 (step @p443 :rule cong :premises (@p442) :args (tptp.f1)) 25.75/25.99 (step @p444 :rule trans :premises (@p443 @p440)) 25.75/25.99 (step @p445 :rule false_elim :premises (@p444)) 25.75/25.99 (step-pop @p1429 :rule scope :premises (@p445)) 25.75/25.99 (step-pop @p1430 :rule scope :premises (@p1429)) 25.75/25.99 (step-pop @p1431 :rule scope :premises (@p1430)) 25.75/25.99 (step @p446 :rule process_scope :premises (@p1431) :args (@t154)) 25.75/25.99 (step @p450 :rule and_intro :premises (@p430 @p77 @p436)) 25.75/25.99 (step @p451 :rule modus_ponens :premises (@p450 @p446)) 25.75/25.99 (step-pop @p1432 :rule scope :premises (@p451)) 25.75/25.99 (step-pop @p1433 :rule scope :premises (@p1432)) 25.75/25.99 (step-pop @p1434 :rule scope :premises (@p1433)) 25.75/25.99 (step @p452 :rule process_scope :premises (@p1434) :args (@t154)) 25.75/25.99 (step @p456 :rule implies_elim :premises (@p452)) 25.75/25.99 (step @p457 :rule cnf_and_neg :args (@t162)) 25.75/25.99 (step @p458 :rule resolution :premises (@p457 @p456) :args (true @t162)) 25.75/25.99 (step @p459 :rule eq_resolve :premises (@p458 @p433)) 25.75/25.99 (step @p460 :rule reordering :premises (@p459) :args ((or @t160 @t82 @t155 @t154))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p461 :rule trust :premises (@p460 @p77 @p430 @p423 @p421) :args (@t156)) 25.75/25.99 ; trust MACRO_REWRITE 25.75/25.99 (step @p462 :rule trust :premises () :args ((= (= @t153 @t155) @t156))) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p463 :rule trust :premises () :args ((= (_ @t50 @t152) @t155))) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p464 :rule trust :premises () :args ((= @t151 @t152))) 25.75/25.99 (step @p465 :rule cong :premises (@p464) :args (@t50)) 25.75/25.99 (step @p466 :rule trans :premises (@p465 @p463)) 25.75/25.99 (step @p467 :rule cong :premises (@p464) :args (tptp.f1)) 25.75/25.99 (step @p468 :rule cong :premises (@p467 @p466) :args (=)) 25.75/25.99 (step @p469 :rule trans :premises (@p468 @p462)) 25.75/25.99 (step @p470 :rule cong :premises (@p469) :args (not)) 25.75/25.99 (step @p471 :rule refl :args (@t163)) 25.75/25.99 (step @p472 :rule nary_cong :premises (@p471 @p470) :args (or)) 25.75/25.99 ; trust TRUST 25.75/25.99 (step @p473 :rule trust :premises () :args ((or @t163 (not (= (tptp.f1 @t151) (_ @t50 @t151)))))) 25.75/25.99 (step @p474 :rule eq_resolve :premises (@p473 @p472)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p475 :rule trust :premises (@p474 @p461) :args (@t163)) 25.75/25.99 ; trust TRUST 25.75/25.99 (step @p476 :rule trust :premises () :args ((= (_ tptp.f3 @t73) @t164))) 25.75/25.99 (step @p477 :rule refl :args (tptp.f3)) 25.75/25.99 (step @p478 :rule ho_cong :premises (@p477 @p68)) 25.75/25.99 (step @p479 :rule trans :premises (@p478 @p476)) 25.75/25.99 ; trust MACRO_SR_EQ_INTRO 25.75/25.99 (step @p480 :rule trust :premises () :args ((= @t6 @t5))) 25.75/25.99 (step @p481 :rule trans :premises (@p480 @p479)) 25.75/25.99 (step @p482 :rule eq_resolve :premises (@p2 @p481)) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p483 :rule trust :premises () :args ((= (not @t168) @t167))) 25.75/25.99 (step @p484 :rule refl :args (@t169)) 25.75/25.99 (step @p485 :rule refl :args (@t170)) 25.75/25.99 (step @p486 :rule nary_cong :premises (@p81 @p485 @p484 @p483) :args (or)) 25.75/25.99 (assume-push @p487 @t164) 25.75/25.99 (assume-push @p488 @t73) 25.75/25.99 (assume-push @p489 @t166) 25.75/25.99 (assume-push @p490 @t168) 25.75/25.99 (step @p491 :rule true_intro :premises (@p482)) 25.75/25.99 (step @p492 :rule true_intro :premises (@p489)) 25.75/25.99 (step @p493 :rule trans :premises (@p492 @p68)) 25.75/25.99 (step @p494 :rule cong :premises (@p493) :args (tptp.f3)) 25.75/25.99 (step @p495 :rule false_intro :premises (@p490)) 25.75/25.99 (step @p496 :rule symm :premises (@p495)) 25.75/25.99 (step @p497 :rule trans :premises (@p496 @p494 @p491)) 25.75/25.99 ; trust MACRO_SR_PRED_ELIM 25.75/25.99 (step @p498 false :rule trust :premises (@p497) :args (false)) 25.75/25.99 (step-pop @p1435 :rule scope :premises (@p498)) 25.75/25.99 (step-pop @p1436 :rule scope :premises (@p1435)) 25.75/25.99 (step-pop @p1437 :rule scope :premises (@p1436)) 25.75/25.99 (step-pop @p1438 :rule scope :premises (@p1437)) 25.75/25.99 (step @p499 :rule process_scope :premises (@p1438) :args (false)) 25.75/25.99 (assume-push @p504 @t73) 25.75/25.99 (assume-push @p505 @t164) 25.75/25.99 (assume-push @p506 @t166) 25.75/25.99 (assume-push @p507 @t168) 25.75/25.99 (step @p508 :rule and_intro :premises (@p482 @p77 @p489 @p490)) 25.75/25.99 (step-pop @p1439 :rule scope :premises (@p508)) 25.75/25.99 (step-pop @p1440 :rule scope :premises (@p1439)) 25.75/25.99 (step-pop @p1441 :rule scope :premises (@p1440)) 25.75/25.99 (step-pop @p1442 :rule scope :premises (@p1441)) 25.75/25.99 (step @p509 :rule process_scope :premises (@p1442) :args (@t171)) 25.75/25.99 (step @p514 :rule implies_elim :premises (@p509)) 25.75/25.99 (step @p515 :rule resolution :premises (@p514 @p499) :args (true @t171)) 25.75/25.99 (step @p516 :rule not_and :premises (@p515)) 25.75/25.99 (step @p517 :rule eq_resolve :premises (@p516 @p486)) 25.75/25.99 (step @p518 :rule reordering :premises (@p517) :args ((or @t170 @t82 @t167 @t169))) 25.75/25.99 ; trust TRUST 25.75/25.99 (step @p519 :rule trust :premises () :args ((= (_ tptp.f3 @t84) @t172))) 25.75/25.99 (step @p520 :rule ho_cong :premises (@p477 @p116)) 25.75/25.99 (step @p521 :rule trans :premises (@p520 @p519)) 25.75/25.99 ; trust MACRO_SR_EQ_INTRO 25.75/25.99 (step @p522 :rule trust :premises () :args ((= @t18 @t17))) 25.75/25.99 (step @p523 :rule trans :premises (@p522 @p521)) 25.75/25.99 (step @p524 :rule eq_resolve :premises (@p9 @p523)) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p525 :rule trust :premises () :args ((= (not @t169) @t166))) 25.75/25.99 (step @p526 :rule refl :args (@t173)) 25.75/25.99 (step @p527 :rule nary_cong :premises (@p127 @p526 @p483 @p525) :args (or)) 25.75/25.99 (assume-push @p528 @t172) 25.75/25.99 (assume-push @p529 @t86) 25.75/25.99 (assume-push @p530 @t169) 25.75/25.99 (assume-push @p531 @t168) 25.75/25.99 (step @p532 :rule true_intro :premises (@p524)) 25.75/25.99 (step @p533 :rule false_intro :premises (@p530)) 25.75/25.99 (step @p534 :rule trans :premises (@p533 @p116)) 25.75/25.99 (step @p535 :rule cong :premises (@p534) :args (tptp.f3)) 25.75/25.99 (step @p536 :rule false_intro :premises (@p490)) 25.75/25.99 (step @p537 :rule symm :premises (@p536)) 25.75/25.99 (step @p538 :rule trans :premises (@p537 @p535 @p532)) 25.75/25.99 ; trust MACRO_SR_PRED_ELIM 25.75/25.99 (step @p539 false :rule trust :premises (@p538) :args (false)) 25.75/25.99 (step-pop @p1443 :rule scope :premises (@p539)) 25.75/25.99 (step-pop @p1444 :rule scope :premises (@p1443)) 25.75/25.99 (step-pop @p1445 :rule scope :premises (@p1444)) 25.75/25.99 (step-pop @p1446 :rule scope :premises (@p1445)) 25.75/25.99 (step @p540 :rule process_scope :premises (@p1446) :args (false)) 25.75/25.99 (assume-push @p545 @t86) 25.75/25.99 (assume-push @p546 @t172) 25.75/25.99 (assume-push @p547 @t168) 25.75/25.99 (assume-push @p548 @t169) 25.75/25.99 (step @p549 :rule and_intro :premises (@p524 @p125 @p530 @p490)) 25.75/25.99 (step-pop @p1447 :rule scope :premises (@p549)) 25.75/25.99 (step-pop @p1448 :rule scope :premises (@p1447)) 25.75/25.99 (step-pop @p1449 :rule scope :premises (@p1448)) 25.75/25.99 (step-pop @p1450 :rule scope :premises (@p1449)) 25.75/25.99 (step @p550 :rule process_scope :premises (@p1450) :args (@t174)) 25.75/25.99 (step @p555 :rule implies_elim :premises (@p550)) 25.75/25.99 (step @p556 :rule resolution :premises (@p555 @p540) :args (true @t174)) 25.75/25.99 (step @p557 :rule not_and :premises (@p556)) 25.75/25.99 (step @p558 :rule eq_resolve :premises (@p557 @p527)) 25.75/25.99 (step @p559 :rule reordering :premises (@p558) :args ((or @t84 @t173 @t166 @t167))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p560 :rule trust :premises (@p559 @p125 @p524 @p518 @p77 @p482) :args (@t167)) 25.75/25.99 ; trust MACRO_REWRITE 25.75/25.99 (step @p561 :rule trust :premises () :args ((= (= @t167 true) @t167))) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p562 :rule trust :premises () :args ((= (_ @t46 @t166) true))) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p563 :rule trust :premises () :args ((= @t165 @t166))) 25.75/25.99 (step @p564 :rule cong :premises (@p563) :args (@t46)) 25.75/25.99 (step @p565 :rule trans :premises (@p564 @p562)) 25.75/25.99 (step @p566 :rule cong :premises (@p563) :args (tptp.f3)) 25.75/25.99 (step @p567 :rule cong :premises (@p566 @p565) :args (=)) 25.75/25.99 (step @p568 :rule trans :premises (@p567 @p561)) 25.75/25.99 (step @p569 :rule cong :premises (@p568) :args (not)) 25.75/25.99 (step @p570 :rule refl :args (@t175)) 25.75/25.99 (step @p571 :rule nary_cong :premises (@p570 @p569) :args (or)) 25.75/25.99 ; trust TRUST 25.75/25.99 (step @p572 :rule trust :premises () :args ((or @t175 (not (= (tptp.f3 @t165) (_ @t46 @t165)))))) 25.75/25.99 (step @p573 :rule eq_resolve :premises (@p572 @p571)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p574 :rule trust :premises (@p573 @p560) :args (@t175)) 25.75/25.99 ; trust MACRO_REWRITE 25.75/25.99 (step @p575 :rule trust :premises () :args ((= @t179 (=> @t175 @t178)))) 25.75/25.99 ; trust TRUST 25.75/25.99 (step @p576 :rule trust :premises () :args (@t179)) 25.75/25.99 (step @p577 :rule eq_resolve :premises (@p576 @p575)) 25.75/25.99 (step @p578 :rule implies_elim :premises (@p577)) 25.75/25.99 (step @p579 :rule reordering :premises (@p578) :args ((or @t178 @t180))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p580 :rule trust :premises (@p579 @p574) :args (@t178)) 25.75/25.99 (step @p581 :rule refl :args (@t182)) 25.75/25.99 (step @p582 :rule nary_cong :premises (@p282 @p526 @p581) :args (or)) 25.75/25.99 (assume-push @p583 @t143) 25.75/25.99 (assume-push @p584 @t181) 25.75/25.99 (assume-push @p585 @t172) 25.75/25.99 (step @p586 :rule refl :args (@t84)) 25.75/25.99 (step @p587 :rule symm :premises (@p584)) 25.75/25.99 (step @p588 :rule ho_cong :premises (@p587 @p586)) 25.75/25.99 (step @p589 :rule symm :premises (@p532)) 25.75/25.99 (step @p590 :rule trans :premises (@p589 @p588 @p290)) 25.75/25.99 ; trust MACRO_SR_PRED_ELIM 25.75/25.99 (step @p591 false :rule trust :premises (@p590) :args (false)) 25.75/25.99 (step-pop @p1451 :rule scope :premises (@p591)) 25.75/25.99 (step-pop @p1452 :rule scope :premises (@p1451)) 25.75/25.99 (step-pop @p1453 :rule scope :premises (@p1452)) 25.75/25.99 (step @p592 :rule process_scope :premises (@p1453) :args (false)) 25.75/25.99 (assume-push @p596 @t143) 25.75/25.99 (assume-push @p597 @t172) 25.75/25.99 (assume-push @p598 @t181) 25.75/25.99 (step @p599 :rule and_intro :premises (@p279 @p584 @p524)) 25.75/25.99 (step-pop @p1454 :rule scope :premises (@p599)) 25.75/25.99 (step-pop @p1455 :rule scope :premises (@p1454)) 25.75/25.99 (step-pop @p1456 :rule scope :premises (@p1455)) 25.75/25.99 (step @p600 :rule process_scope :premises (@p1456) :args (@t183)) 25.75/25.99 (step @p604 :rule implies_elim :premises (@p600)) 25.75/25.99 (step @p605 :rule resolution :premises (@p604 @p592) :args (true @t183)) 25.75/25.99 (step @p606 :rule not_and :premises (@p605)) 25.75/25.99 (step @p607 :rule eq_resolve :premises (@p606 @p582)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p608 :rule trust :premises (@p607 @p279 @p524) :args (@t182)) 25.75/25.99 ; trust MACRO_REWRITE 25.75/25.99 (step @p609 :rule trust :premises () :args ((= (= @t184 @t178) @t185))) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p610 :rule trust :premises () :args ((= @t176 @t177))) 25.75/25.99 (step @p611 :rule cong :premises (@p610) :args (tptp.f3)) 25.75/25.99 (step @p612 :rule cong :premises (@p610) :args (tptp.f2)) 25.75/25.99 (step @p613 :rule cong :premises (@p612 @p611) :args (=)) 25.75/25.99 (step @p614 :rule trans :premises (@p613 @p609)) 25.75/25.99 (step @p615 :rule cong :premises (@p614) :args (not)) 25.75/25.99 (step @p616 :rule refl :args (@t181)) 25.75/25.99 (step @p617 :rule nary_cong :premises (@p616 @p615) :args (or)) 25.75/25.99 ; trust TRUST 25.75/25.99 (step @p618 :rule trust :premises () :args ((or @t181 (not (= (tptp.f2 @t176) (tptp.f3 @t176)))))) 25.75/25.99 (step @p619 :rule eq_resolve :premises (@p618 @p617)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p620 :rule trust :premises (@p619 @p608) :args ((not @t185))) 25.75/25.99 (step @p621 :rule cnf_equiv_neg2 :args (@t185)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p622 :rule trust :premises (@p621 @p620 @p580) :args (@t186)) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p623 :rule trust :premises () :args ((= (not @t186) @t184))) 25.75/25.99 (step @p624 :rule refl :args (@t187)) 25.75/25.99 (step @p625 :rule nary_cong :premises (@p81 @p339 @p624 @p623) :args (or)) 25.75/25.99 (assume-push @p626 @t139) 25.75/25.99 (assume-push @p627 @t73) 25.75/25.99 (assume-push @p628 @t177) 25.75/25.99 (assume-push @p629 @t186) 25.75/25.99 (step @p630 :rule true_intro :premises (@p628)) 25.75/25.99 (step @p631 :rule trans :premises (@p630 @p68)) 25.75/25.99 (step @p632 :rule cong :premises (@p631) :args (tptp.f2)) 25.75/25.99 (step @p633 :rule false_intro :premises (@p629)) 25.75/25.99 (step @p634 :rule symm :premises (@p633)) 25.75/25.99 (step @p635 :rule trans :premises (@p634 @p632 @p250)) 25.75/25.99 ; trust MACRO_SR_PRED_ELIM 25.75/25.99 (step @p636 false :rule trust :premises (@p635) :args (false)) 25.75/25.99 (step-pop @p1457 :rule scope :premises (@p636)) 25.75/25.99 (step-pop @p1458 :rule scope :premises (@p1457)) 25.75/25.99 (step-pop @p1459 :rule scope :premises (@p1458)) 25.75/25.99 (step-pop @p1460 :rule scope :premises (@p1459)) 25.75/25.99 (step @p637 :rule process_scope :premises (@p1460) :args (false)) 25.75/25.99 (assume-push @p642 @t73) 25.75/25.99 (assume-push @p643 @t139) 25.75/25.99 (assume-push @p644 @t177) 25.75/25.99 (assume-push @p645 @t186) 25.75/25.99 (step @p646 :rule and_intro :premises (@p243 @p77 @p628 @p629)) 25.75/25.99 (step-pop @p1461 :rule scope :premises (@p646)) 25.75/25.99 (step-pop @p1462 :rule scope :premises (@p1461)) 25.75/25.99 (step-pop @p1463 :rule scope :premises (@p1462)) 25.75/25.99 (step-pop @p1464 :rule scope :premises (@p1463)) 25.75/25.99 (step @p647 :rule process_scope :premises (@p1464) :args (@t188)) 25.75/25.99 (step @p652 :rule implies_elim :premises (@p647)) 25.75/25.99 (step @p653 :rule resolution :premises (@p652 @p637) :args (true @t188)) 25.75/25.99 (step @p654 :rule not_and :premises (@p653)) 25.75/25.99 (step @p655 :rule eq_resolve :premises (@p654 @p625)) 25.75/25.99 (step @p656 :rule reordering :premises (@p655) :args ((or @t141 @t82 @t184 @t187))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p657 :rule trust :premises (@p656 @p243 @p77 @p622) :args (@t187)) 25.75/25.99 (step @p658 :rule refl :args (@t190)) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p659 :rule trust :premises () :args ((= (not @t187) @t177))) 25.75/25.99 (step @p660 :rule nary_cong :premises (@p127 @p393 @p623 @p659 @p658) :args (or)) 25.75/25.99 (assume-push @p661 @t157) 25.75/25.99 (assume-push @p662 @t189) 25.75/25.99 (assume-push @p663 @t86) 25.75/25.99 (assume-push @p664 @t187) 25.75/25.99 (assume-push @p665 @t186) 25.75/25.99 (step @p666 :rule false_intro :premises (@p664)) 25.75/25.99 (step @p667 :rule trans :premises (@p666 @p116)) 25.75/25.99 (step @p668 :rule symm :premises (@p662)) 25.75/25.99 (step @p669 :rule ho_cong :premises (@p668 @p667)) 25.75/25.99 (step @p670 :rule false_intro :premises (@p629)) 25.75/25.99 (step @p671 :rule symm :premises (@p670)) 25.75/25.99 (step @p672 :rule trans :premises (@p671 @p669 @p401)) 25.75/25.99 ; trust MACRO_SR_PRED_ELIM 25.75/25.99 (step @p673 false :rule trust :premises (@p672) :args (false)) 25.75/25.99 (step-pop @p1465 :rule scope :premises (@p673)) 25.75/25.99 (step-pop @p1466 :rule scope :premises (@p1465)) 25.75/25.99 (step-pop @p1467 :rule scope :premises (@p1466)) 25.75/25.99 (step-pop @p1468 :rule scope :premises (@p1467)) 25.75/25.99 (step-pop @p1469 :rule scope :premises (@p1468)) 25.75/25.99 (step @p674 :rule process_scope :premises (@p1469) :args (false)) 25.75/25.99 (assume-push @p680 @t86) 25.75/25.99 (assume-push @p681 @t157) 25.75/25.99 (assume-push @p682 @t186) 25.75/25.99 (assume-push @p683 @t187) 25.75/25.99 (assume-push @p684 @t189) 25.75/25.99 (step @p685 :rule and_intro :premises (@p391 @p662 @p125 @p664 @p629)) 25.75/25.99 (step-pop @p1470 :rule scope :premises (@p685)) 25.75/25.99 (step-pop @p1471 :rule scope :premises (@p1470)) 25.75/25.99 (step-pop @p1472 :rule scope :premises (@p1471)) 25.75/25.99 (step-pop @p1473 :rule scope :premises (@p1472)) 25.75/25.99 (step-pop @p1474 :rule scope :premises (@p1473)) 25.75/25.99 (step @p686 :rule process_scope :premises (@p1474) :args (@t191)) 25.75/25.99 (step @p692 :rule implies_elim :premises (@p686)) 25.75/25.99 (step @p693 :rule resolution :premises (@p692 @p674) :args (true @t191)) 25.75/25.99 (step @p694 :rule not_and :premises (@p693)) 25.75/25.99 (step @p695 :rule eq_resolve :premises (@p694 @p660)) 25.75/25.99 (step @p696 :rule reordering :premises (@p695) :args ((or @t84 @t158 @t177 @t184 @t190))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p697 :rule trust :premises (@p696 @p125 @p391 @p657 @p622) :args (@t190)) 25.75/25.99 (step @p698 :rule refl :args (@t192)) 25.75/25.99 (step @p699 :rule refl :args (@t193)) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p700 :rule trust :premises () :args ((= (not @t190) @t189))) 25.75/25.99 (step @p701 :rule nary_cong :premises (@p700 @p699 @p698) :args (or)) 25.75/25.99 (assume-push @p702 @t163) 25.75/25.99 (assume-push @p703 @t120) 25.75/25.99 (assume-push @p704 @t190) 25.75/25.99 (step @p705 :rule symm :premises (@p703)) 25.75/25.99 (step @p706 :rule symm :premises (@p702)) 25.75/25.99 (step @p707 :rule symm :premises (@p706)) 25.75/25.99 (step @p708 :rule trans :premises (@p707 @p705)) 25.75/25.99 (step @p709 :rule true_intro :premises (@p708)) 25.75/25.99 (step @p710 :rule false_intro :premises (@p704)) 25.75/25.99 (step @p711 :rule symm :premises (@p710)) 25.75/25.99 (step @p712 :rule trans :premises (@p711 @p709)) 25.75/25.99 ; trust MACRO_SR_PRED_ELIM 25.75/25.99 (step @p713 false :rule trust :premises (@p712) :args (false)) 25.75/25.99 (step-pop @p1475 :rule scope :premises (@p713)) 25.75/25.99 (step-pop @p1476 :rule scope :premises (@p1475)) 25.75/25.99 (step-pop @p1477 :rule scope :premises (@p1476)) 25.75/25.99 (step @p714 :rule process_scope :premises (@p1477) :args (false)) 25.75/25.99 (assume-push @p718 @t190) 25.75/25.99 (assume-push @p719 @t163) 25.75/25.99 (assume-push @p720 @t120) 25.75/25.99 (step @p721 :rule and_intro :premises (@p702 @p703 @p704)) 25.75/25.99 (step-pop @p1478 :rule scope :premises (@p721)) 25.75/25.99 (step-pop @p1479 :rule scope :premises (@p1478)) 25.75/25.99 (step-pop @p1480 :rule scope :premises (@p1479)) 25.75/25.99 (step @p722 :rule process_scope :premises (@p1480) :args (@t194)) 25.75/25.99 (step @p726 :rule implies_elim :premises (@p722)) 25.75/25.99 (step @p727 :rule resolution :premises (@p726 @p714) :args (true @t194)) 25.75/25.99 (step @p728 :rule not_and :premises (@p727)) 25.75/25.99 (step @p729 :rule eq_resolve :premises (@p728 @p701)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p730 :rule trust :premises (@p729 @p697 @p475) :args (@t192)) 25.75/25.99 (step @p731 :rule cnf_and_pos :args (@t121 0)) 25.75/25.99 (step @p732 :rule reordering :premises (@p731) :args ((or @t120 @t195))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p733 :rule trust :premises (@p732 @p730) :args (@t195)) 25.75/25.99 (step @p734 :rule refl :args (@t196)) 25.75/25.99 (step @p735 :rule refl :args (@t180)) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p736 :rule trust :premises () :args ((= (not @t182) @t181))) 25.75/25.99 (step @p737 :rule nary_cong :premises (@p736 @p735 @p734) :args (or)) 25.75/25.99 (assume-push @p738 @t182) 25.75/25.99 (assume-push @p739 @t175) 25.75/25.99 (assume-push @p740 @t182) 25.75/25.99 (assume-push @p741 @t175) 25.75/25.99 (step @p742 :rule false_intro :premises (@p738)) 25.75/25.99 (step @p743 :rule symm :premises (@p739)) 25.75/25.99 (step @p744 :rule cong :premises (@p192 @p743) :args (=)) 25.75/25.99 (step @p745 :rule trans :premises (@p744 @p742)) 25.75/25.99 (step @p746 :rule false_elim :premises (@p745)) 25.75/25.99 (step-pop @p1481 :rule scope :premises (@p746)) 25.75/25.99 (step-pop @p1482 :rule scope :premises (@p1481)) 25.75/25.99 (step @p747 :rule process_scope :premises (@p1482) :args (@t196)) 25.75/25.99 (step @p750 :rule and_intro :premises (@p738 @p739)) 25.75/25.99 (step @p751 :rule modus_ponens :premises (@p750 @p747)) 25.75/25.99 (step-pop @p1483 :rule scope :premises (@p751)) 25.75/25.99 (step-pop @p1484 :rule scope :premises (@p1483)) 25.75/25.99 (step @p752 :rule process_scope :premises (@p1484) :args (@t196)) 25.75/25.99 (step @p755 :rule implies_elim :premises (@p752)) 25.75/25.99 (step @p756 :rule cnf_and_neg :args (@t197)) 25.75/25.99 (step @p757 :rule resolution :premises (@p756 @p755) :args (true @t197)) 25.75/25.99 (step @p758 :rule eq_resolve :premises (@p757 @p737)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p759 :rule trust :premises (@p758 @p608 @p574) :args (@t196)) 25.75/25.99 (step @p760 :rule cnf_and_pos :args (@t117 0)) 25.75/25.99 (step @p761 :rule reordering :premises (@p760) :args ((or @t116 @t198))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p762 :rule trust :premises (@p761 @p759) :args (@t198)) 25.75/25.99 (step @p763 :rule cnf_or_pos :args (@t124)) 25.75/25.99 (step @p764 :rule reordering :premises (@p763) :args ((or @t117 @t119 @t121 @t123 (not @t124)))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p765 :rule trust :premises (@p764 @p762 @p733 @p377 @p336) :args (@t119)) 25.75/25.99 (step @p766 :rule cnf_and_pos :args (@t119 1)) 25.75/25.99 (step @p767 :rule reordering :premises (@p766) :args ((or @t112 (not @t119)))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p768 :rule trust :premises (@p767 @p765) :args (@t112)) 25.75/25.99 (step @p769 :rule refl :args ((not @t112))) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p770 :rule trust :premises () :args ((= (not @t200) @t199))) 25.75/25.99 (step @p771 :rule nary_cong :premises (@p770 @p769) :args (or)) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p772 :rule trust :premises () :args ((= @t105 @t106))) 25.75/25.99 (step @p773 :rule cong :premises (@p772) :args (tptp.eps)) 25.75/25.99 (step @p774 :rule refl :args (@t101)) 25.75/25.99 (step @p775 :rule cong :premises (@p774 @p773) :args (=)) 25.75/25.99 (step @p776 :rule cong :premises (@p775) :args (not)) 25.75/25.99 (step @p777 :rule refl :args (@t200)) 25.75/25.99 (step @p778 :rule cong :premises (@p777 @p776) :args (=>)) 25.75/25.99 (assume-push @p779 @t200) 25.75/25.99 (step @p780 :rule skolemize :premises (@p779)) 25.75/25.99 (step-pop @p1485 :rule scope :premises (@p780)) 25.75/25.99 (step @p781 :rule process_scope :premises (@p1485) :args ((not (= @t101 (tptp.eps @t105))))) 25.75/25.99 (step @p783 :rule eq_resolve :premises (@p781 @p778)) 25.75/25.99 (step @p784 :rule implies_elim :premises (@p783)) 25.75/25.99 (step @p785 :rule eq_resolve :premises (@p784 @p771)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p786 :rule trust :premises (@p785 @p768) :args (@t199)) 25.75/25.99 ; trust MACRO_REWRITE 25.75/25.99 (step @p787 :rule trust :premises () :args ((= @t217 @t216))) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p788 :rule trust :premises () :args (@t217)) 25.75/25.99 (step @p789 :rule eq_resolve :premises (@p788 @p787)) 25.75/25.99 (step @p790 :rule refl :args (@t219)) 25.75/25.99 (step @p791 :rule cong :premises (@p477 @p17) :args (=)) 25.75/25.99 (step @p792 :rule nary_cong :premises (@p791 @p790) :args (and)) 25.75/25.99 (step @p793 :rule refl :args (@t220)) 25.75/25.99 (step @p794 :rule cong :premises (@p477 @p22) :args (=)) 25.75/25.99 (step @p795 :rule nary_cong :premises (@p794 @p793) :args (and)) 25.75/25.99 (step @p796 :rule refl :args (@t221)) 25.75/25.99 (step @p797 :rule cong :premises (@p477 @p26) :args (=)) 25.75/25.99 (step @p798 :rule nary_cong :premises (@p797 @p796) :args (and)) 25.75/25.99 (step @p799 :rule refl :args (@t222)) 25.75/25.99 (step @p800 :rule cong :premises (@p477 @p30) :args (=)) 25.75/25.99 (step @p801 :rule nary_cong :premises (@p800 @p799) :args (and)) 25.75/25.99 (step @p802 :rule nary_cong :premises (@p801 @p798 @p795 @p792) :args (or)) 25.75/25.99 (step @p803 :rule refl :args (@t223)) 25.75/25.99 (step @p804 :rule cong :premises (@p803 @p802) :args (=)) 25.75/25.99 (step @p805 :rule refl :args (@t216)) 25.75/25.99 (step @p806 :rule cong :premises (@p805 @p804) :args (=>)) 25.75/25.99 (assume-push @p807 @t216) 25.75/25.99 (step @p808 :rule instantiate :premises (@p789) :args ((@list @t218))) 25.75/25.99 (step-pop @p1486 :rule scope :premises (@p808)) 25.75/25.99 (step @p809 :rule process_scope :premises (@p1486) :args ((= (or (and @t204 (= @t218 @t211)) (and @t203 (= @t218 @t210)) (and @t202 (= @t218 @t209)) (and @t201 (= @t218 @t208))) @t223))) 25.75/25.99 ; trust MACRO_SR_PRED_ELIM 25.75/25.99 (step @p811 :rule trust :premises (@p809) :args ((=> @t216 (= @t223 (or (and @t204 @t222) (and @t203 @t221) (and @t202 @t220) (and @t201 @t219)))))) 25.75/25.99 (step @p812 :rule eq_resolve :premises (@p811 @p806)) 25.75/25.99 (step @p813 :rule implies_elim :premises (@p812)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p814 :rule trust :premises (@p813 @p789) :args (@t232)) 25.75/25.99 (step @p815 :rule instantiate :premises (@p47) :args ((@list @t214 @t208))) 25.75/25.99 (step @p816 :rule refl :args (@t233)) 25.75/25.99 (step @p817 :rule nary_cong :premises (@p794 @p816) :args (and)) 25.75/25.99 (step @p818 :rule refl :args (@t234)) 25.75/25.99 (step @p819 :rule nary_cong :premises (@p797 @p818) :args (and)) 25.75/25.99 (step @p820 :rule refl :args (@t235)) 25.75/25.99 (step @p821 :rule nary_cong :premises (@p800 @p820) :args (and)) 25.75/25.99 (step @p822 :rule nary_cong :premises (@p821 @p819 @p817 @p791) :args (or)) 25.75/25.99 (step @p823 :rule refl :args (@t236)) 25.75/25.99 (step @p824 :rule cong :premises (@p823 @p822) :args (=)) 25.75/25.99 (step @p825 :rule cong :premises (@p805 @p824) :args (=>)) 25.75/25.99 (assume-push @p826 @t216) 25.75/25.99 (step @p827 :rule instantiate :premises (@p789) :args ((@list @t208))) 25.75/25.99 (step-pop @p1487 :rule scope :premises (@p827)) 25.75/25.99 (step @p828 :rule process_scope :premises (@p1487) :args ((= (or (and @t204 (= @t208 @t211)) (and @t203 (= @t208 @t210)) (and @t202 (= @t208 @t209)) (and @t201 (= @t208 @t208))) @t236))) 25.75/25.99 ; trust MACRO_SR_PRED_ELIM 25.75/25.99 (step @p830 :rule trust :premises (@p828) :args ((=> @t216 (= @t236 (or (and @t204 @t235) (and @t203 @t234) (and @t202 @t233) @t201))))) 25.75/25.99 (step @p831 :rule eq_resolve :premises (@p830 @p825)) 25.75/25.99 (step @p832 :rule implies_elim :premises (@p831)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p833 :rule trust :premises (@p832 @p789) :args (@t238)) 25.75/25.99 (step @p834 :rule cnf_or_neg :args (@t237 3)) 25.75/25.99 (step @p835 :rule reordering :premises (@p834) :args ((or @t180 @t237))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p836 :rule trust :premises (@p835 @p574) :args (@t237)) 25.75/25.99 (step @p837 :rule cnf_equiv_pos2 :args (@t238)) 25.75/25.99 (step @p838 :rule reordering :premises (@p837) :args ((or @t236 (not @t237) (not @t238)))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p839 :rule trust :premises (@p838 @p836 @p833) :args (@t236)) 25.75/25.99 (step @p840 :rule cnf_or_pos :args (@t240)) 25.75/25.99 (step @p841 :rule reordering :premises (@p840) :args ((or @t223 @t239 (not @t240)))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p842 :rule trust :premises (@p841 @p839 @p815) :args (@t223)) 25.75/25.99 (step @p843 :rule cnf_equiv_pos1 :args (@t232)) 25.75/25.99 (step @p844 :rule reordering :premises (@p843) :args ((or (not @t223) @t231 (not @t232)))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p845 :rule trust :premises (@p844 @p842 @p814) :args (@t231)) 25.75/25.99 ; trust TRUST 25.75/25.99 (step @p846 :rule trust :premises () :args ((=> @t163 @t245))) 25.75/25.99 (step @p847 :rule implies_elim :premises (@p846)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p848 :rule trust :premises (@p847 @p475) :args (@t245)) 25.75/25.99 ; trust MACRO_REWRITE 25.75/25.99 (step @p849 :rule trust :premises () :args ((= @t247 (=> @t175 @t246)))) 25.75/25.99 ; trust TRUST 25.75/25.99 (step @p850 :rule trust :premises () :args (@t247)) 25.75/25.99 (step @p851 :rule eq_resolve :premises (@p850 @p849)) 25.75/25.99 (step @p852 :rule implies_elim :premises (@p851)) 25.75/25.99 (step @p853 :rule reordering :premises (@p852) :args ((or @t246 @t180))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p854 :rule trust :premises (@p853 @p574) :args (@t246)) 25.75/25.99 (step @p855 :rule refl :args (@t249)) 25.75/25.99 (step @p856 :rule nary_cong :premises (@p485 @p432 @p855) :args (or)) 25.75/25.99 (assume-push @p857 @t161) 25.75/25.99 (assume-push @p858 @t248) 25.75/25.99 (assume-push @p859 @t164) 25.75/25.99 (step @p860 :rule symm :premises (@p858)) 25.75/25.99 (step @p861 :rule ho_cong :premises (@p860 @p345)) 25.75/25.99 (step @p862 :rule symm :premises (@p491)) 25.75/25.99 (step @p863 :rule trans :premises (@p862 @p861 @p440)) 25.75/25.99 ; trust MACRO_SR_PRED_ELIM 25.75/25.99 (step @p864 false :rule trust :premises (@p863) :args (false)) 25.75/25.99 (step-pop @p1488 :rule scope :premises (@p864)) 25.75/25.99 (step-pop @p1489 :rule scope :premises (@p1488)) 25.75/25.99 (step-pop @p1490 :rule scope :premises (@p1489)) 25.75/25.99 (step @p865 :rule process_scope :premises (@p1490) :args (false)) 25.75/25.99 (assume-push @p869 @t164) 25.75/25.99 (assume-push @p870 @t161) 25.75/25.99 (assume-push @p871 @t248) 25.75/25.99 (step @p872 :rule and_intro :premises (@p430 @p858 @p482)) 25.75/25.99 (step-pop @p1491 :rule scope :premises (@p872)) 25.75/25.99 (step-pop @p1492 :rule scope :premises (@p1491)) 25.75/25.99 (step-pop @p1493 :rule scope :premises (@p1492)) 25.75/25.99 (step @p873 :rule process_scope :premises (@p1493) :args (@t250)) 25.75/25.99 (step @p877 :rule implies_elim :premises (@p873)) 25.75/25.99 (step @p878 :rule resolution :premises (@p877 @p865) :args (true @t250)) 25.75/25.99 (step @p879 :rule not_and :premises (@p878)) 25.75/25.99 (step @p880 :rule eq_resolve :premises (@p879 @p856)) 25.75/25.99 (step @p881 :rule reordering :premises (@p880) :args ((or @t160 @t170 @t249))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p882 :rule trust :premises (@p881 @p430 @p482) :args (@t249)) 25.75/25.99 ; trust MACRO_REWRITE 25.75/25.99 (step @p883 :rule trust :premises () :args ((= (= @t244 @t246) @t251))) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p884 :rule trust :premises () :args ((= @t241 @t242))) 25.75/25.99 (step @p885 :rule cong :premises (@p884) :args (tptp.f3)) 25.75/25.99 (step @p886 :rule cong :premises (@p884) :args (tptp.f1)) 25.75/25.99 (step @p887 :rule cong :premises (@p886 @p885) :args (=)) 25.75/25.99 (step @p888 :rule trans :premises (@p887 @p883)) 25.75/25.99 (step @p889 :rule cong :premises (@p888) :args (not)) 25.75/25.99 (step @p890 :rule refl :args (@t248)) 25.75/25.99 (step @p891 :rule nary_cong :premises (@p890 @p889) :args (or)) 25.75/25.99 ; trust TRUST 25.75/25.99 (step @p892 :rule trust :premises () :args ((or @t248 (not (= (tptp.f1 @t241) (tptp.f3 @t241)))))) 25.75/25.99 (step @p893 :rule eq_resolve :premises (@p892 @p891)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p894 :rule trust :premises (@p893 @p882) :args ((not @t251))) 25.75/25.99 (step @p895 :rule cnf_equiv_neg2 :args (@t251)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p896 :rule trust :premises (@p895 @p894 @p854) :args ((not @t244))) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p897 :rule trust :premises () :args ((= (not @t243) @t242))) 25.75/25.99 (step @p898 :rule refl :args (@t244)) 25.75/25.99 (step @p899 :rule refl :args (@t252)) 25.75/25.99 (step @p900 :rule nary_cong :premises (@p899 @p898 @p897) :args (or)) 25.75/25.99 (step @p901 :rule cnf_equiv_pos2 :args (@t245)) 25.75/25.99 (step @p902 :rule eq_resolve :premises (@p901 @p900)) 25.75/25.99 (step @p903 :rule reordering :premises (@p902) :args ((or @t242 @t244 @t252))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p904 :rule trust :premises (@p903 @p896 @p848) :args (@t242)) 25.75/25.99 (step @p905 :rule refl :args (@t254)) 25.75/25.99 (step @p906 :rule refl :args (@t255)) 25.75/25.99 (step @p907 :rule refl :args (@t243)) 25.75/25.99 (step @p908 :rule nary_cong :premises (@p81 @p80 @p907 @p906 @p905) :args (or)) 25.75/25.99 (assume-push @p909 @t81) 25.75/25.99 (assume-push @p910 @t253) 25.75/25.99 (assume-push @p911 @t73) 25.75/25.99 (assume-push @p912 @t242) 25.75/25.99 (assume-push @p913 @t246) 25.75/25.99 (step @p914 :rule true_intro :premises (@p912)) 25.75/25.99 (step @p915 :rule trans :premises (@p914 @p68)) 25.75/25.99 (step @p916 :rule symm :premises (@p910)) 25.75/25.99 (step @p917 :rule ho_cong :premises (@p916 @p915)) 25.75/25.99 (step @p918 :rule true_intro :premises (@p913)) 25.75/25.99 (step @p919 :rule symm :premises (@p918)) 25.75/25.99 (step @p920 :rule trans :premises (@p919 @p917 @p87)) 25.75/25.99 ; trust MACRO_SR_PRED_ELIM 25.75/25.99 (step @p921 false :rule trust :premises (@p920) :args (false)) 25.75/25.99 (step-pop @p1494 :rule scope :premises (@p921)) 25.75/25.99 (step-pop @p1495 :rule scope :premises (@p1494)) 25.75/25.99 (step-pop @p1496 :rule scope :premises (@p1495)) 25.75/25.99 (step-pop @p1497 :rule scope :premises (@p1496)) 25.75/25.99 (step-pop @p1498 :rule scope :premises (@p1497)) 25.75/25.99 (step @p922 :rule process_scope :premises (@p1498) :args (false)) 25.75/25.99 (assume-push @p928 @t73) 25.75/25.99 (assume-push @p929 @t81) 25.75/25.99 (assume-push @p930 @t242) 25.75/25.99 (assume-push @p931 @t246) 25.75/25.99 (assume-push @p932 @t253) 25.75/25.99 (step @p933 :rule and_intro :premises (@p74 @p910 @p77 @p912 @p913)) 25.75/25.99 (step-pop @p1499 :rule scope :premises (@p933)) 25.75/25.99 (step-pop @p1500 :rule scope :premises (@p1499)) 25.75/25.99 (step-pop @p1501 :rule scope :premises (@p1500)) 25.75/25.99 (step-pop @p1502 :rule scope :premises (@p1501)) 25.75/25.99 (step-pop @p1503 :rule scope :premises (@p1502)) 25.75/25.99 (step @p934 :rule process_scope :premises (@p1503) :args (@t256)) 25.75/25.99 (step @p940 :rule implies_elim :premises (@p934)) 25.75/25.99 (step @p941 :rule resolution :premises (@p940 @p922) :args (true @t256)) 25.75/25.99 (step @p942 :rule not_and :premises (@p941)) 25.75/25.99 (step @p943 :rule eq_resolve :premises (@p942 @p908)) 25.75/25.99 (step @p944 :rule reordering :premises (@p943) :args ((or @t74 @t82 @t255 @t243 @t254))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p945 :rule trust :premises (@p944 @p74 @p77 @p854 @p904) :args (@t254)) 25.75/25.99 (step @p946 :rule refl :args (@t257)) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p947 :rule trust :premises () :args ((= (not @t254) @t253))) 25.75/25.99 (step @p948 :rule nary_cong :premises (@p947 @p338 @p946) :args (or)) 25.75/25.99 (assume-push @p949 @t229) 25.75/25.99 (assume-push @p950 @t60) 25.75/25.99 (assume-push @p951 @t254) 25.75/25.99 (step @p952 :rule symm :premises (@p949)) 25.75/25.99 (step @p953 :rule symm :premises (@p343)) 25.75/25.99 (step @p954 :rule symm :premises (@p953)) 25.75/25.99 (step @p955 :rule trans :premises (@p954 @p952)) 25.75/25.99 (step @p956 :rule true_intro :premises (@p955)) 25.75/25.99 (step @p957 :rule false_intro :premises (@p951)) 25.75/25.99 (step @p958 :rule symm :premises (@p957)) 25.75/25.99 (step @p959 :rule trans :premises (@p958 @p956)) 25.75/25.99 ; trust MACRO_SR_PRED_ELIM 25.75/25.99 (step @p960 false :rule trust :premises (@p959) :args (false)) 25.75/25.99 (step-pop @p1504 :rule scope :premises (@p960)) 25.75/25.99 (step-pop @p1505 :rule scope :premises (@p1504)) 25.75/25.99 (step-pop @p1506 :rule scope :premises (@p1505)) 25.75/25.99 (step @p961 :rule process_scope :premises (@p1506) :args (false)) 25.75/25.99 (assume-push @p965 @t254) 25.75/25.99 (assume-push @p966 @t60) 25.75/25.99 (assume-push @p967 @t229) 25.75/25.99 (step @p968 :rule and_intro :premises (@p949 @p343 @p951)) 25.75/25.99 (step-pop @p1507 :rule scope :premises (@p968)) 25.75/25.99 (step-pop @p1508 :rule scope :premises (@p1507)) 25.75/25.99 (step-pop @p1509 :rule scope :premises (@p1508)) 25.75/25.99 (step @p969 :rule process_scope :premises (@p1509) :args (@t258)) 25.75/25.99 (step @p973 :rule implies_elim :premises (@p969)) 25.75/25.99 (step @p974 :rule resolution :premises (@p973 @p961) :args (true @t258)) 25.75/25.99 (step @p975 :rule not_and :premises (@p974)) 25.75/25.99 (step @p976 :rule eq_resolve :premises (@p975 @p948)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p977 :rule trust :premises (@p976 @p945 @p178) :args (@t257)) 25.75/25.99 (step @p978 :rule cnf_and_pos :args (@t230 0)) 25.75/25.99 (step @p979 :rule reordering :premises (@p978) :args ((or @t229 @t259))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p980 :rule trust :premises (@p979 @p977) :args (@t259)) 25.75/25.99 (step @p981 :rule refl :args (@t260)) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p982 :rule trust :premises () :args ((= (not @t249) @t248))) 25.75/25.99 (step @p983 :rule nary_cong :premises (@p982 @p981 @p699) :args (or)) 25.75/25.99 (assume-push @p984 @t249) 25.75/25.99 (assume-push @p985 @t227) 25.75/25.99 (assume-push @p986 @t249) 25.75/25.99 (assume-push @p987 @t227) 25.75/25.99 (step @p988 :rule false_intro :premises (@p984)) 25.75/25.99 (step @p989 :rule symm :premises (@p985)) 25.75/25.99 (step @p990 :rule cong :premises (@p386 @p989) :args (=)) 25.75/25.99 (step @p991 :rule trans :premises (@p990 @p988)) 25.75/25.99 (step @p992 :rule false_elim :premises (@p991)) 25.75/25.99 (step-pop @p1510 :rule scope :premises (@p992)) 25.75/25.99 (step-pop @p1511 :rule scope :premises (@p1510)) 25.75/25.99 (step @p993 :rule process_scope :premises (@p1511) :args (@t193)) 25.75/25.99 (step @p996 :rule and_intro :premises (@p984 @p985)) 25.75/25.99 (step @p997 :rule modus_ponens :premises (@p996 @p993)) 25.75/25.99 (step-pop @p1512 :rule scope :premises (@p997)) 25.75/25.99 (step-pop @p1513 :rule scope :premises (@p1512)) 25.75/25.99 (step @p998 :rule process_scope :premises (@p1513) :args (@t193)) 25.75/25.99 (step @p1001 :rule implies_elim :premises (@p998)) 25.75/25.99 (step @p1002 :rule cnf_and_neg :args (@t261)) 25.75/25.99 (step @p1003 :rule resolution :premises (@p1002 @p1001) :args (true @t261)) 25.75/25.99 (step @p1004 :rule eq_resolve :premises (@p1003 @p983)) 25.75/25.99 (step @p1005 :rule reordering :premises (@p1004) :args ((or @t248 @t193 @t260))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1006 :rule trust :premises (@p1005 @p475 @p882) :args (@t260)) 25.75/25.99 (step @p1007 :rule cnf_and_pos :args (@t228 0)) 25.75/25.99 (step @p1008 :rule reordering :premises (@p1007) :args ((or @t227 @t262))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1009 :rule trust :premises (@p1008 @p1006) :args (@t262)) 25.75/25.99 (step @p1010 :rule refl :args (@t145)) 25.75/25.99 (step @p1011 :rule refl :args (@t263)) 25.75/25.99 (step @p1012 :rule nary_cong :premises (@p736 @p1011 @p1010) :args (or)) 25.75/25.99 (assume-push @p1013 @t182) 25.75/25.99 (assume-push @p1014 @t225) 25.75/25.99 (assume-push @p1015 @t182) 25.75/25.99 (assume-push @p1016 @t225) 25.75/25.99 (step @p1017 :rule false_intro :premises (@p738)) 25.75/25.99 (step @p1018 :rule symm :premises (@p1014)) 25.75/25.99 (step @p1019 :rule cong :premises (@p192 @p1018) :args (=)) 25.75/25.99 (step @p1020 :rule trans :premises (@p1019 @p1017)) 25.75/25.99 (step @p1021 :rule false_elim :premises (@p1020)) 25.75/25.99 (step-pop @p1514 :rule scope :premises (@p1021)) 25.75/25.99 (step-pop @p1515 :rule scope :premises (@p1514)) 25.75/25.99 (step @p1022 :rule process_scope :premises (@p1515) :args (@t145)) 25.75/25.99 (step @p1025 :rule and_intro :premises (@p738 @p1014)) 25.75/25.99 (step @p1026 :rule modus_ponens :premises (@p1025 @p1022)) 25.75/25.99 (step-pop @p1516 :rule scope :premises (@p1026)) 25.75/25.99 (step-pop @p1517 :rule scope :premises (@p1516)) 25.75/25.99 (step @p1027 :rule process_scope :premises (@p1517) :args (@t145)) 25.75/25.99 (step @p1030 :rule implies_elim :premises (@p1027)) 25.75/25.99 (step @p1031 :rule cnf_and_neg :args (@t264)) 25.75/25.99 (step @p1032 :rule resolution :premises (@p1031 @p1030) :args (true @t264)) 25.75/25.99 (step @p1033 :rule eq_resolve :premises (@p1032 @p1012)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1034 :rule trust :premises (@p1033 @p324 @p608) :args (@t263)) 25.75/25.99 (step @p1035 :rule cnf_and_pos :args (@t226 0)) 25.75/25.99 (step @p1036 :rule reordering :premises (@p1035) :args ((or @t225 @t265))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1037 :rule trust :premises (@p1036 @p1034) :args (@t265)) 25.75/25.99 (step @p1038 :rule cnf_or_pos :args (@t231)) 25.75/25.99 (step @p1039 :rule reordering :premises (@p1038) :args ((or @t224 @t226 @t228 @t230 (not @t231)))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1040 :rule trust :premises (@p1039 @p1037 @p1009 @p980 @p845) :args (@t224)) 25.75/25.99 (step @p1041 :rule cnf_and_pos :args (@t224 1)) 25.75/25.99 (step @p1042 :rule reordering :premises (@p1041) :args ((or @t219 (not @t224)))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1043 :rule trust :premises (@p1042 @p1040) :args (@t219)) 25.75/25.99 (step @p1044 :rule refl :args ((not @t219))) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p1045 :rule trust :premises () :args ((= (not @t267) @t266))) 25.75/25.99 (step @p1046 :rule nary_cong :premises (@p1045 @p1044) :args (or)) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p1047 :rule trust :premises () :args ((= @t213 @t214))) 25.75/25.99 (step @p1048 :rule cong :premises (@p1047) :args (tptp.eps)) 25.75/25.99 (step @p1049 :rule refl :args (@t208)) 25.75/25.99 (step @p1050 :rule cong :premises (@p1049 @p1048) :args (=)) 25.75/25.99 (step @p1051 :rule cong :premises (@p1050) :args (not)) 25.75/25.99 (step @p1052 :rule refl :args (@t267)) 25.75/25.99 (step @p1053 :rule cong :premises (@p1052 @p1051) :args (=>)) 25.75/25.99 (assume-push @p1054 @t267) 25.75/25.99 (step @p1055 :rule skolemize :premises (@p1054)) 25.75/25.99 (step-pop @p1518 :rule scope :premises (@p1055)) 25.75/25.99 (step @p1056 :rule process_scope :premises (@p1518) :args ((not (= @t208 (tptp.eps @t213))))) 25.75/25.99 (step @p1058 :rule eq_resolve :premises (@p1056 @p1053)) 25.75/25.99 (step @p1059 :rule implies_elim :premises (@p1058)) 25.75/25.99 (step @p1060 :rule eq_resolve :premises (@p1059 @p1046)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1061 :rule trust :premises (@p1060 @p1043) :args (@t266)) 25.75/25.99 ; trust MACRO_REWRITE 25.75/25.99 (step @p1062 :rule trust :premises () :args ((= @t284 @t283))) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p1063 :rule trust :premises () :args (@t284)) 25.75/25.99 (step @p1064 :rule eq_resolve :premises (@p1063 @p1062)) 25.75/25.99 (step @p1065 :rule refl :args (@t286)) 25.75/25.99 (step @p1066 :rule cong :premises (@p386 @p17) :args (=)) 25.75/25.99 (step @p1067 :rule nary_cong :premises (@p1066 @p1065) :args (and)) 25.75/25.99 (step @p1068 :rule refl :args (@t287)) 25.75/25.99 (step @p1069 :rule cong :premises (@p386 @p22) :args (=)) 25.75/25.99 (step @p1070 :rule nary_cong :premises (@p1069 @p1068) :args (and)) 25.75/25.99 (step @p1071 :rule refl :args (@t288)) 25.75/25.99 (step @p1072 :rule cong :premises (@p386 @p26) :args (=)) 25.75/25.99 (step @p1073 :rule nary_cong :premises (@p1072 @p1071) :args (and)) 25.75/25.99 (step @p1074 :rule refl :args (@t289)) 25.75/25.99 (step @p1075 :rule cong :premises (@p386 @p30) :args (=)) 25.75/25.99 (step @p1076 :rule nary_cong :premises (@p1075 @p1074) :args (and)) 25.75/25.99 (step @p1077 :rule nary_cong :premises (@p1076 @p1073 @p1070 @p1067) :args (or)) 25.75/25.99 (step @p1078 :rule refl :args (@t290)) 25.75/25.99 (step @p1079 :rule cong :premises (@p1078 @p1077) :args (=)) 25.75/25.99 (step @p1080 :rule refl :args (@t283)) 25.75/25.99 (step @p1081 :rule cong :premises (@p1080 @p1079) :args (=>)) 25.75/25.99 (assume-push @p1082 @t283) 25.75/25.99 (step @p1083 :rule instantiate :premises (@p1064) :args ((@list @t285))) 25.75/25.99 (step-pop @p1519 :rule scope :premises (@p1083)) 25.75/25.99 (step @p1084 :rule process_scope :premises (@p1519) :args ((= (or (and @t271 (= @t285 @t278)) (and @t270 (= @t285 @t277)) (and @t269 (= @t285 @t276)) (and @t268 (= @t285 @t275))) @t290))) 25.75/25.99 ; trust MACRO_SR_PRED_ELIM 25.75/25.99 (step @p1086 :rule trust :premises (@p1084) :args ((=> @t283 (= @t290 (or (and @t271 @t289) (and @t270 @t288) (and @t269 @t287) (and @t268 @t286)))))) 25.75/25.99 (step @p1087 :rule eq_resolve :premises (@p1086 @p1081)) 25.75/25.99 (step @p1088 :rule implies_elim :premises (@p1087)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1089 :rule trust :premises (@p1088 @p1064) :args (@t299)) 25.75/25.99 (step @p1090 :rule instantiate :premises (@p47) :args ((@list @t281 @t277))) 25.75/25.99 (step @p1091 :rule refl :args (@t300)) 25.75/25.99 (step @p1092 :rule nary_cong :premises (@p1066 @p1091) :args (and)) 25.75/25.99 (step @p1093 :rule refl :args (@t301)) 25.75/25.99 (step @p1094 :rule nary_cong :premises (@p1069 @p1093) :args (and)) 25.75/25.99 (step @p1095 :rule refl :args (@t302)) 25.75/25.99 (step @p1096 :rule nary_cong :premises (@p1075 @p1095) :args (and)) 25.75/25.99 (step @p1097 :rule nary_cong :premises (@p1096 @p1072 @p1094 @p1092) :args (or)) 25.75/25.99 (step @p1098 :rule refl :args (@t303)) 25.75/25.99 (step @p1099 :rule cong :premises (@p1098 @p1097) :args (=)) 25.75/25.99 (step @p1100 :rule cong :premises (@p1080 @p1099) :args (=>)) 25.75/25.99 (assume-push @p1101 @t283) 25.75/25.99 (step @p1102 :rule instantiate :premises (@p1064) :args ((@list @t277))) 25.75/25.99 (step-pop @p1520 :rule scope :premises (@p1102)) 25.75/25.99 (step @p1103 :rule process_scope :premises (@p1520) :args ((= (or (and @t271 (= @t277 @t278)) (and @t270 (= @t277 @t277)) @t305 @t304) @t303))) 25.75/25.99 ; trust MACRO_SR_PRED_ELIM 25.75/25.99 (step @p1105 :rule trust :premises (@p1103) :args ((=> @t283 (= @t303 (or (and @t271 @t302) @t270 @t305 @t304))))) 25.75/25.99 (step @p1106 :rule eq_resolve :premises (@p1105 @p1100)) 25.75/25.99 (step @p1107 :rule implies_elim :premises (@p1106)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1108 :rule trust :premises (@p1107 @p1064) :args (@t307)) 25.75/25.99 (step @p1109 :rule cnf_or_neg :args (@t306 1)) 25.75/25.99 (step @p1110 :rule reordering :premises (@p1109) :args ((or @t193 @t306))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1111 :rule trust :premises (@p1110 @p475) :args (@t306)) 25.75/25.99 (step @p1112 :rule cnf_equiv_pos2 :args (@t307)) 25.75/25.99 (step @p1113 :rule reordering :premises (@p1112) :args ((or @t303 (not @t306) (not @t307)))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1114 :rule trust :premises (@p1113 @p1111 @p1108) :args (@t303)) 25.75/25.99 (step @p1115 :rule cnf_or_pos :args (@t309)) 25.75/25.99 (step @p1116 :rule reordering :premises (@p1115) :args ((or @t290 @t308 (not @t309)))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1117 :rule trust :premises (@p1116 @p1114 @p1090) :args (@t290)) 25.75/25.99 (step @p1118 :rule cnf_equiv_pos1 :args (@t299)) 25.75/25.99 (step @p1119 :rule reordering :premises (@p1118) :args ((or (not @t290) @t298 (not @t299)))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1120 :rule trust :premises (@p1119 @p1117 @p1089) :args (@t298)) 25.75/25.99 ; trust MACRO_REWRITE 25.75/25.99 (step @p1121 :rule trust :premises () :args ((= @t310 (=> @t296 @t158)))) 25.75/25.99 ; trust TRUST 25.75/25.99 (step @p1122 :rule trust :premises () :args (@t310)) 25.75/25.99 (step @p1123 :rule eq_resolve :premises (@p1122 @p1121)) 25.75/25.99 (step @p1124 :rule implies_elim :premises (@p1123)) 25.75/25.99 (step @p1125 :rule reordering :premises (@p1124) :args ((or @t158 @t311))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1126 :rule trust :premises (@p1125 @p391) :args (@t311)) 25.75/25.99 (step @p1127 :rule cnf_and_pos :args (@t297 0)) 25.75/25.99 (step @p1128 :rule reordering :premises (@p1127) :args ((or @t296 @t312))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1129 :rule trust :premises (@p1128 @p1126) :args (@t312)) 25.75/25.99 (step @p1130 :rule refl :args (@t313)) 25.75/25.99 (step @p1131 :rule nary_cong :premises (@p700 @p1010 @p1130) :args (or)) 25.75/25.99 (assume-push @p1132 @t190) 25.75/25.99 (assume-push @p1133 @t118) 25.75/25.99 (assume-push @p1134 @t190) 25.75/25.99 (assume-push @p1135 @t118) 25.75/25.99 (step @p1136 :rule false_intro :premises (@p704)) 25.75/25.99 (step @p1137 :rule symm :premises (@p1133)) 25.75/25.99 (step @p1138 :rule cong :premises (@p386 @p1137) :args (=)) 25.75/25.99 (step @p1139 :rule trans :premises (@p1138 @p1136)) 25.75/25.99 (step @p1140 :rule false_elim :premises (@p1139)) 25.75/25.99 (step-pop @p1521 :rule scope :premises (@p1140)) 25.75/25.99 (step-pop @p1522 :rule scope :premises (@p1521)) 25.75/25.99 (step @p1141 :rule process_scope :premises (@p1522) :args (@t313)) 25.75/25.99 (step @p1144 :rule and_intro :premises (@p704 @p1133)) 25.75/25.99 (step @p1145 :rule modus_ponens :premises (@p1144 @p1141)) 25.75/25.99 (step-pop @p1523 :rule scope :premises (@p1145)) 25.75/25.99 (step-pop @p1524 :rule scope :premises (@p1523)) 25.75/25.99 (step @p1146 :rule process_scope :premises (@p1524) :args (@t313)) 25.75/25.99 (step @p1149 :rule implies_elim :premises (@p1146)) 25.75/25.99 (step @p1150 :rule cnf_and_neg :args (@t314)) 25.75/25.99 (step @p1151 :rule resolution :premises (@p1150 @p1149) :args (true @t314)) 25.75/25.99 (step @p1152 :rule eq_resolve :premises (@p1151 @p1131)) 25.75/25.99 (step @p1153 :rule reordering :premises (@p1152) :args ((or @t189 @t313 @t145))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1154 :rule trust :premises (@p1153 @p697 @p324) :args (@t313)) 25.75/25.99 (step @p1155 :rule cnf_and_pos :args (@t294 0)) 25.75/25.99 (step @p1156 :rule reordering :premises (@p1155) :args ((or @t293 @t315))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1157 :rule trust :premises (@p1156 @p1154) :args (@t315)) 25.75/25.99 (step @p1158 :rule refl :args (@t316)) 25.75/25.99 (step @p1159 :rule nary_cong :premises (@p982 @p1158 @p699 @p735) :args (or)) 25.75/25.99 (assume-push @p1160 @t163) 25.75/25.99 (assume-push @p1161 @t291) 25.75/25.99 (assume-push @p1162 @t175) 25.75/25.99 (assume-push @p1163 @t249) 25.75/25.99 (step @p1164 :rule symm :premises (@p702)) 25.75/25.99 (step @p1165 :rule symm :premises (@p1164)) 25.75/25.99 (step @p1166 :rule symm :premises (@p1161)) 25.75/25.99 (step @p1167 :rule symm :premises (@p739)) 25.75/25.99 (step @p1168 :rule symm :premises (@p1167)) 25.75/25.99 (step @p1169 :rule trans :premises (@p1168 @p1166 @p1165)) 25.75/25.99 (step @p1170 :rule symm :premises (@p1169)) 25.75/25.99 (step @p1171 :rule trans :premises (@p1165 @p1170)) 25.75/25.99 (step @p1172 :rule true_intro :premises (@p1171)) 25.75/25.99 (step @p1173 :rule false_intro :premises (@p984)) 25.75/25.99 (step @p1174 :rule symm :premises (@p1173)) 25.75/25.99 (step @p1175 :rule trans :premises (@p1174 @p1172)) 25.75/25.99 ; trust MACRO_SR_PRED_ELIM 25.75/25.99 (step @p1176 false :rule trust :premises (@p1175) :args (false)) 25.75/25.99 (step-pop @p1525 :rule scope :premises (@p1176)) 25.75/25.99 (step-pop @p1526 :rule scope :premises (@p1525)) 25.75/25.99 (step-pop @p1527 :rule scope :premises (@p1526)) 25.75/25.99 (step-pop @p1528 :rule scope :premises (@p1527)) 25.75/25.99 (step @p1177 :rule process_scope :premises (@p1528) :args (false)) 25.75/25.99 (assume-push @p1182 @t249) 25.75/25.99 (assume-push @p1183 @t291) 25.75/25.99 (assume-push @p1184 @t163) 25.75/25.99 (assume-push @p1185 @t175) 25.75/25.99 (step @p1186 :rule and_intro :premises (@p702 @p1161 @p739 @p984)) 25.75/25.99 (step-pop @p1529 :rule scope :premises (@p1186)) 25.75/25.99 (step-pop @p1530 :rule scope :premises (@p1529)) 25.75/25.99 (step-pop @p1531 :rule scope :premises (@p1530)) 25.75/25.99 (step-pop @p1532 :rule scope :premises (@p1531)) 25.75/25.99 (step @p1187 :rule process_scope :premises (@p1532) :args (@t317)) 25.75/25.99 (step @p1192 :rule implies_elim :premises (@p1187)) 25.75/25.99 (step @p1193 :rule resolution :premises (@p1192 @p1177) :args (true @t317)) 25.75/25.99 (step @p1194 :rule not_and :premises (@p1193)) 25.75/25.99 (step @p1195 :rule eq_resolve :premises (@p1194 @p1159)) 25.75/25.99 (step @p1196 :rule reordering :premises (@p1195) :args ((or @t248 @t193 @t316 @t180))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1197 :rule trust :premises (@p1196 @p882 @p475 @p574) :args (@t316)) 25.75/25.99 (step @p1198 :rule cnf_and_pos :args (@t292 0)) 25.75/25.99 (step @p1199 :rule reordering :premises (@p1198) :args ((or @t291 @t318))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1200 :rule trust :premises (@p1199 @p1197) :args (@t318)) 25.75/25.99 (step @p1201 :rule cnf_or_pos :args (@t298)) 25.75/25.99 (step @p1202 :rule reordering :premises (@p1201) :args ((or @t292 @t294 @t295 @t297 (not @t298)))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1203 :rule trust :premises (@p1202 @p1200 @p1157 @p1129 @p1120) :args (@t295)) 25.75/25.99 (step @p1204 :rule cnf_and_pos :args (@t295 1)) 25.75/25.99 (step @p1205 :rule reordering :premises (@p1204) :args ((or @t288 (not @t295)))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1206 :rule trust :premises (@p1205 @p1203) :args (@t288)) 25.75/25.99 (step @p1207 :rule refl :args ((not @t288))) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p1208 :rule trust :premises () :args ((= (not @t320) @t319))) 25.75/25.99 (step @p1209 :rule nary_cong :premises (@p1208 @p1207) :args (or)) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p1210 :rule trust :premises () :args ((= @t280 @t281))) 25.75/25.99 (step @p1211 :rule cong :premises (@p1210) :args (tptp.eps)) 25.75/25.99 (step @p1212 :rule refl :args (@t277)) 25.75/25.99 (step @p1213 :rule cong :premises (@p1212 @p1211) :args (=)) 25.75/25.99 (step @p1214 :rule cong :premises (@p1213) :args (not)) 25.75/25.99 (step @p1215 :rule refl :args (@t320)) 25.75/25.99 (step @p1216 :rule cong :premises (@p1215 @p1214) :args (=>)) 25.75/25.99 (assume-push @p1217 @t320) 25.75/25.99 (step @p1218 :rule skolemize :premises (@p1217)) 25.75/25.99 (step-pop @p1533 :rule scope :premises (@p1218)) 25.75/25.99 (step @p1219 :rule process_scope :premises (@p1533) :args ((not (= @t277 (tptp.eps @t280))))) 25.75/25.99 (step @p1221 :rule eq_resolve :premises (@p1219 @p1216)) 25.75/25.99 (step @p1222 :rule implies_elim :premises (@p1221)) 25.75/25.99 (step @p1223 :rule eq_resolve :premises (@p1222 @p1209)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1224 :rule trust :premises (@p1223 @p1206) :args (@t319)) 25.75/25.99 ; trust MACRO_SR_EQ_INTRO 25.75/25.99 (step @p1225 :rule trust :premises () :args ((= @t4 (= tptp.case (lambda @t3 (_ tptp.eps (lambda @t2 (or (and (= @v.0.B @t29) (= @v.0.X @v.0.Z)) (and (= @v.0.B @t27) (= @v.0.Y @v.0.Z)) (and (= @v.0.B @t25) (= @v.0.U @v.0.Z)) (and (= @v.0.B @t23) (= @v.0.V @v.0.Z)))))))))) 25.75/25.99 (step @p1226 :rule eq_resolve :premises (@p1 @p1225)) 25.75/25.99 ; trust MACRO_SR_EQ_INTRO 25.75/25.99 (step @p1227 :rule trust :premises (@p1226) :args ((= @t322 (not (and @t319 @t266 @t199 @t321))))) 25.75/25.99 ; trust MACRO_SR_EQ_INTRO 25.75/25.99 (step @p1228 :rule trust :premises () :args ((= @t16 @t322))) 25.75/25.99 (step @p1229 :rule trans :premises (@p1228 @p1227)) 25.75/25.99 (step @p1230 :rule eq_resolve :premises (@p8 @p1229)) 25.75/25.99 (step @p1231 :rule not_and :premises (@p1230)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1232 :rule trust :premises (@p1231 @p1224 @p1061 @p786) :args (@t323)) 25.75/25.99 (step @p1233 :rule refl :args (@t324)) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p1234 :rule trust :premises () :args ((= (not @t323) @t321))) 25.75/25.99 (step @p1235 :rule nary_cong :premises (@p1234 @p1233) :args (or)) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p1236 :rule trust :premises () :args ((= @t39 @t40))) 25.75/25.99 (step @p1237 :rule cong :premises (@p1236) :args (tptp.eps)) 25.75/25.99 (step @p1238 :rule refl :args (@t37)) 25.75/25.99 (step @p1239 :rule cong :premises (@p1238 @p1237) :args (=)) 25.75/25.99 (step @p1240 :rule cong :premises (@p1239) :args (not)) 25.75/25.99 (step @p1241 :rule refl :args (@t323)) 25.75/25.99 (step @p1242 :rule cong :premises (@p1241 @p1240) :args (=>)) 25.75/25.99 (assume-push @p1243 @t323) 25.75/25.99 (step @p1244 :rule skolemize :premises (@p1243)) 25.75/25.99 (step-pop @p1534 :rule scope :premises (@p1244)) 25.75/25.99 (step @p1245 :rule process_scope :premises (@p1534) :args ((not (= @t37 (tptp.eps @t39))))) 25.75/25.99 (step @p1247 :rule eq_resolve :premises (@p1245 @p1242)) 25.75/25.99 (step @p1248 :rule implies_elim :premises (@p1247)) 25.75/25.99 (step @p1249 :rule eq_resolve :premises (@p1248 @p1235)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1250 :rule trust :premises (@p1249 @p1232) :args (@t324)) 25.75/25.99 (step @p1251 :rule cnf_and_pos :args (@t61 1)) 25.75/25.99 (step @p1252 :rule reordering :premises (@p1251) :args ((or @t51 @t325))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1253 :rule trust :premises (@p1252 @p1250) :args (@t325)) 25.75/25.99 (step @p1254 :rule refl :args (@t327)) 25.75/25.99 (step @p1255 :rule nary_cong :premises (@p128 @p393 @p1254) :args (or)) 25.75/25.99 (assume-push @p1256 @t88) 25.75/25.99 (assume-push @p1257 @t326) 25.75/25.99 (assume-push @p1258 @t157) 25.75/25.99 (step @p1259 :rule symm :premises (@p1257)) 25.75/25.99 (step @p1260 :rule ho_cong :premises (@p1259 @p586)) 25.75/25.99 (step @p1261 :rule symm :premises (@p401)) 25.75/25.99 (step @p1262 :rule trans :premises (@p1261 @p1260 @p134)) 25.75/25.99 ; trust MACRO_SR_PRED_ELIM 25.75/25.99 (step @p1263 false :rule trust :premises (@p1262) :args (false)) 25.75/25.99 (step-pop @p1535 :rule scope :premises (@p1263)) 25.75/25.99 (step-pop @p1536 :rule scope :premises (@p1535)) 25.75/25.99 (step-pop @p1537 :rule scope :premises (@p1536)) 25.75/25.99 (step @p1264 :rule process_scope :premises (@p1537) :args (false)) 25.75/25.99 (assume-push @p1268 @t88) 25.75/25.99 (assume-push @p1269 @t157) 25.75/25.99 (assume-push @p1270 @t326) 25.75/25.99 (step @p1271 :rule and_intro :premises (@p122 @p1257 @p391)) 25.75/25.99 (step-pop @p1538 :rule scope :premises (@p1271)) 25.75/25.99 (step-pop @p1539 :rule scope :premises (@p1538)) 25.75/25.99 (step-pop @p1540 :rule scope :premises (@p1539)) 25.75/25.99 (step @p1272 :rule process_scope :premises (@p1540) :args (@t328)) 25.75/25.99 (step @p1276 :rule implies_elim :premises (@p1272)) 25.75/25.99 (step @p1277 :rule resolution :premises (@p1276 @p1264) :args (true @t328)) 25.75/25.99 (step @p1278 :rule not_and :premises (@p1277)) 25.75/25.99 (step @p1279 :rule eq_resolve :premises (@p1278 @p1255)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1280 :rule trust :premises (@p1279 @p122 @p391) :args (@t327)) 25.75/25.99 (step @p1281 :rule refl :args (@t329)) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p1282 :rule trust :premises () :args ((= (not @t327) @t326))) 25.75/25.99 (step @p1283 :rule nary_cong :premises (@p1282 @p699 @p1281) :args (or)) 25.75/25.99 (assume-push @p1284 @t327) 25.75/25.99 (assume-push @p1285 @t163) 25.75/25.99 (assume-push @p1286 @t327) 25.75/25.99 (assume-push @p1287 @t163) 25.75/25.99 (step @p1288 :rule false_intro :premises (@p1284)) 25.75/25.99 (step @p1289 :rule symm :premises (@p702)) 25.75/25.99 (step @p1290 :rule cong :premises (@p18 @p1289) :args (=)) 25.75/25.99 (step @p1291 :rule trans :premises (@p1290 @p1288)) 25.75/25.99 (step @p1292 :rule false_elim :premises (@p1291)) 25.75/25.99 (step-pop @p1541 :rule scope :premises (@p1292)) 25.75/25.99 (step-pop @p1542 :rule scope :premises (@p1541)) 25.75/25.99 (step @p1293 :rule process_scope :premises (@p1542) :args (@t329)) 25.75/25.99 (step @p1296 :rule and_intro :premises (@p1284 @p702)) 25.75/25.99 (step @p1297 :rule modus_ponens :premises (@p1296 @p1293)) 25.75/25.99 (step-pop @p1543 :rule scope :premises (@p1297)) 25.75/25.99 (step-pop @p1544 :rule scope :premises (@p1543)) 25.75/25.99 (step @p1298 :rule process_scope :premises (@p1544) :args (@t329)) 25.75/25.99 (step @p1301 :rule implies_elim :premises (@p1298)) 25.75/25.99 (step @p1302 :rule cnf_and_neg :args (@t330)) 25.75/25.99 (step @p1303 :rule resolution :premises (@p1302 @p1301) :args (true @t330)) 25.75/25.99 (step @p1304 :rule eq_resolve :premises (@p1303 @p1283)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1305 :rule trust :premises (@p1304 @p1280 @p475) :args (@t329)) 25.75/25.99 (step @p1306 :rule cnf_and_pos :args (@t59 0)) 25.75/25.99 (step @p1307 :rule reordering :premises (@p1306) :args ((or @t58 @t331))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1308 :rule trust :premises (@p1307 @p1305) :args (@t331)) 25.75/25.99 ; trust MACRO_SR_PRED_INTRO 25.75/25.99 (step @p1309 :rule trust :premises () :args ((= (not @t148) @t122))) 25.75/25.99 (step @p1310 :rule refl :args (@t332)) 25.75/25.99 (step @p1311 :rule nary_cong :premises (@p1310 @p1010 @p338 @p1309) :args (or)) 25.75/25.99 (assume-push @p1312 @t60) 25.75/25.99 (assume-push @p1313 @t56) 25.75/25.99 (assume-push @p1314 @t118) 25.75/25.99 (assume-push @p1315 @t148) 25.75/25.99 (step @p1316 :rule symm :premises (@p343)) 25.75/25.99 (step @p1317 :rule symm :premises (@p1316)) 25.75/25.99 (step @p1318 :rule symm :premises (@p1313)) 25.75/25.99 (step @p1319 :rule symm :premises (@p1133)) 25.75/25.99 (step @p1320 :rule symm :premises (@p1319)) 25.75/25.99 (step @p1321 :rule trans :premises (@p1320 @p1318)) 25.75/25.99 (step @p1322 :rule trans :premises (@p1321 @p1317)) 25.75/25.99 (step @p1323 :rule true_intro :premises (@p1322)) 25.75/25.99 (step @p1324 :rule false_intro :premises (@p1315)) 25.75/25.99 (step @p1325 :rule symm :premises (@p1324)) 25.75/25.99 (step @p1326 :rule trans :premises (@p1325 @p1323)) 25.75/25.99 ; trust MACRO_SR_PRED_ELIM 25.75/25.99 (step @p1327 false :rule trust :premises (@p1326) :args (false)) 25.75/25.99 (step-pop @p1545 :rule scope :premises (@p1327)) 25.75/25.99 (step-pop @p1546 :rule scope :premises (@p1545)) 25.75/25.99 (step-pop @p1547 :rule scope :premises (@p1546)) 25.75/25.99 (step-pop @p1548 :rule scope :premises (@p1547)) 25.75/25.99 (step @p1328 :rule process_scope :premises (@p1548) :args (false)) 25.75/25.99 (assume-push @p1333 @t56) 25.75/25.99 (assume-push @p1334 @t118) 25.75/25.99 (assume-push @p1335 @t60) 25.75/25.99 (assume-push @p1336 @t148) 25.75/25.99 (step @p1337 :rule and_intro :premises (@p343 @p1313 @p1133 @p1315)) 25.75/25.99 (step-pop @p1549 :rule scope :premises (@p1337)) 25.75/25.99 (step-pop @p1550 :rule scope :premises (@p1549)) 25.75/25.99 (step-pop @p1551 :rule scope :premises (@p1550)) 25.75/25.99 (step-pop @p1552 :rule scope :premises (@p1551)) 25.75/25.99 (step @p1338 :rule process_scope :premises (@p1552) :args (@t333)) 25.75/25.99 (step @p1343 :rule implies_elim :premises (@p1338)) 25.75/25.99 (step @p1344 :rule resolution :premises (@p1343 @p1328) :args (true @t333)) 25.75/25.99 (step @p1345 :rule not_and :premises (@p1344)) 25.75/25.99 (step @p1346 :rule eq_resolve :premises (@p1345 @p1311)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1347 :rule trust :premises (@p1346 @p324 @p178 @p374) :args (@t332)) 25.75/25.99 (step @p1348 :rule cnf_and_pos :args (@t57 0)) 25.75/25.99 (step @p1349 :rule reordering :premises (@p1348) :args ((or @t56 @t334))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1350 :rule trust :premises (@p1349 @p1347) :args (@t334)) 25.75/25.99 (step @p1351 :rule refl :args (@t335)) 25.75/25.99 (step @p1352 :rule nary_cong :premises (@p947 @p735 @p1351) :args (or)) 25.75/25.99 (assume-push @p1353 @t254) 25.75/25.99 (assume-push @p1354 @t175) 25.75/25.99 (assume-push @p1355 @t254) 25.75/25.99 (assume-push @p1356 @t175) 25.75/25.99 (step @p1357 :rule false_intro :premises (@p951)) 25.75/25.99 (step @p1358 :rule symm :premises (@p739)) 25.75/25.99 (step @p1359 :rule cong :premises (@p18 @p1358) :args (=)) 25.75/25.99 (step @p1360 :rule trans :premises (@p1359 @p1357)) 25.75/25.99 (step @p1361 :rule false_elim :premises (@p1360)) 25.75/25.99 (step-pop @p1553 :rule scope :premises (@p1361)) 25.75/25.99 (step-pop @p1554 :rule scope :premises (@p1553)) 25.75/25.99 (step @p1362 :rule process_scope :premises (@p1554) :args (@t335)) 25.75/25.99 (step @p1365 :rule and_intro :premises (@p951 @p739)) 25.75/25.99 (step @p1366 :rule modus_ponens :premises (@p1365 @p1362)) 25.75/25.99 (step-pop @p1555 :rule scope :premises (@p1366)) 25.75/25.99 (step-pop @p1556 :rule scope :premises (@p1555)) 25.75/25.99 (step @p1367 :rule process_scope :premises (@p1556) :args (@t335)) 25.75/25.99 (step @p1370 :rule implies_elim :premises (@p1367)) 25.75/25.99 (step @p1371 :rule cnf_and_neg :args (@t336)) 25.75/25.99 (step @p1372 :rule resolution :premises (@p1371 @p1370) :args (true @t336)) 25.75/25.99 (step @p1373 :rule eq_resolve :premises (@p1372 @p1352)) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1374 :rule trust :premises (@p1373 @p945 @p574) :args (@t335)) 25.75/25.99 (step @p1375 :rule cnf_and_pos :args (@t55 0)) 25.75/25.99 (step @p1376 :rule reordering :premises (@p1375) :args ((or @t54 @t337))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1377 :rule trust :premises (@p1376 @p1374) :args (@t337)) 25.75/25.99 (step @p1378 :rule cnf_or_pos :args (@t62)) 25.75/25.99 (step @p1379 :rule reordering :premises (@p1378) :args ((or @t55 @t57 @t59 @t61 @t338))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1380 :rule trust :premises (@p1379 @p1377 @p1350 @p1308 @p1253) :args (@t338)) 25.75/25.99 (step @p1381 :rule cnf_equiv_pos1 :args (@t63)) 25.75/25.99 (step @p1382 :rule reordering :premises (@p1381) :args ((or (not @t53) @t62 (not @t63)))) 25.75/25.99 ; trust MACRO_RESOLUTION_TRUST 25.75/25.99 (step @p1383 false :rule trust :premises (@p1382 @p1380 @p187 @p45) :args (false)) 25.75/25.99 25.75/25.99 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.8ENLfBhGdL/cvc5---1.0.5_7649.smt2 25.75/25.99 % cvc5---1.0.5 exiting 25.75/25.99 % cvc5---1.0.5 exiting 25.75/25.99 EOF