0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.13/0.34 % Computer : n029.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1920 0.13/0.34 % WCLimit : 240 0.13/0.34 % DateTime : Sat Sep 6 01:12:52 EDT 2025 0.13/0.34 % CPUTime : 0.19/0.49 %----Proving TH0 164.29/164.68 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s... 164.29/164.68 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 24s... 164.29/164.68 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 24s... 164.29/164.68 --- Run --ho-elim --full-saturate-quant at 14s... 164.29/164.68 --- Run --ho-elim --no-e-matching --full-saturate-quant at 9s... 164.29/164.68 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 9s... 164.29/164.68 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 7s... 164.29/164.68 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 4s... 164.29/164.68 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 16s... 164.29/164.68 % SZS status Theorem 164.29/164.68 % SZS output start Proof 164.29/164.68 ( 164.29/164.68 (declare-type $$unsorted ()) 164.29/164.68 (declare-const tptp.emptyset $$unsorted) 164.29/164.68 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) 164.29/164.68 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) 164.29/164.68 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) 164.29/164.68 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) 164.29/164.68 (declare-const tptp.ifSingleton Bool) 164.29/164.68 (declare-const tptp.theprop Bool) 164.29/164.68 (declare-const tptp.sepSubset Bool) 164.29/164.68 (declare-const tptp.subsetE Bool) 164.29/164.68 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) 164.29/164.68 (define tptp.singleton () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (lambda (@list _let_2) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_2) (= _let_2 (_ (_ tptp.setadjoin _let_1) tptp.emptyset)))))))) 164.29/164.68 (define tptp.if () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xz" $$unsorted))) (let ((_let_3 (@var "Xphi" Bool))) (let ((_let_4 (@var "Xx" $$unsorted))) (let ((_let_5 (@var "A" $$unsorted))) (lambda (@list _let_5 _let_3 _let_4 _let_1) (_ tptp.setunion (_ (_ tptp.dsetconstr _let_5) (lambda (@list _let_2) (or (and _let_3 (= _let_2 _let_4)) (and (not _let_3) (= _let_2 _let_1))))))))))))) 164.29/164.68 (define @t1 () (@var "B" $$unsorted)) 164.29/164.68 (define @t2 () (@var "Xx" $$unsorted)) 164.29/164.68 (define @t3 () (_ tptp.in @t2)) 164.29/164.68 (define @t4 () (_ @t3 @t1)) 164.29/164.68 (define @t5 () (@var "A" $$unsorted)) 164.29/164.68 (define @t6 () (_ @t3 @t5)) 164.29/164.68 (define @t7 () (=> @t6 @t4)) 164.29/164.68 (define @t8 () (_ (_ tptp.subset @t5) @t1)) 164.29/164.68 (define @t9 () (@list @t5 @t1 @t2)) 164.29/164.68 (define @t10 () (forall @t9 (=> @t8 @t7))) 164.29/164.68 (define @t11 () (= tptp.subsetE @t10)) 164.29/164.68 (define @t12 () (@var "Xphi" (-> $$unsorted Bool))) 164.29/164.68 (define @t13 () (_ @t12 @t2)) 164.29/164.68 (define @t14 () (@list @t2)) 164.29/164.68 (define @t15 () (lambda @t14 @t13)) 164.29/164.68 (define @t16 () (_ tptp.dsetconstr @t5)) 164.29/164.68 (define @t17 () (_ @t16 @t15)) 164.29/164.68 (define @t18 () (_ (_ tptp.subset @t17) @t5)) 164.29/164.68 (define @t19 () (@list @t5 @t12)) 164.29/164.68 (define @t20 () (forall @t19 @t18)) 164.29/164.68 (define @t21 () (= tptp.sepSubset @t20)) 164.29/164.68 (define @t22 () (@var "X" $$unsorted)) 164.29/164.68 (define @t23 () (_ tptp.setunion @t22)) 164.29/164.68 (define @t24 () (_ (_ tptp.in @t23) @t22)) 164.29/164.68 (define @t25 () (=> (_ tptp.singleton @t22) @t24)) 164.29/164.68 (define @t26 () (@list @t22)) 164.29/164.68 (define @t27 () (forall @t26 @t25)) 164.29/164.68 (define @t28 () (= tptp.theprop @t27)) 164.29/164.68 (define @t29 () (@var "Xy" $$unsorted)) 164.29/164.68 (define @t30 () (@var "Xz" $$unsorted)) 164.29/164.68 (define @t31 () (@var "Xphi" Bool)) 164.29/164.68 (define @t32 () (not @t31)) 164.29/164.68 (define @t33 () (and @t32 (= @t30 @t29))) 164.29/164.68 (define @t34 () (and @t31 (= @t30 @t2))) 164.29/164.68 (define @t35 () (or @t34 @t33)) 164.29/164.68 (define @t36 () (@list @t30)) 164.29/164.68 (define @t37 () (lambda @t36 @t35)) 164.29/164.68 (define @t38 () (_ @t16 @t37)) 164.29/164.68 (define @t39 () (_ (_ tptp.in @t29) @t5)) 164.29/164.68 (define @t40 () (=> @t39 (_ tptp.singleton @t38))) 164.29/164.68 (define @t41 () (@list @t29)) 164.29/164.68 (define @t42 () (forall @t41 @t40)) 164.29/164.68 (define @t43 () (=> @t6 @t42)) 164.29/164.68 (define @t44 () (@list @t5 @t31 @t2)) 164.29/164.68 (define @t45 () (forall @t44 @t43)) 164.29/164.68 (define @t46 () (= tptp.ifSingleton @t45)) 164.29/164.68 (define @t47 () (=> @t39 (_ (_ tptp.in (_ (_ (_ (_ tptp.if @t5) @t31) @t2) @t29)) @t5))) 164.29/164.68 (define @t48 () (forall @t41 @t47)) 164.29/164.68 (define @t49 () (=> @t6 @t48)) 164.29/164.68 (define @t50 () (forall @t44 @t49)) 164.29/164.68 (define @t51 () (=> tptp.ifSingleton @t50)) 164.29/164.68 (define @t52 () (=> tptp.theprop @t51)) 164.29/164.68 (define @t53 () (=> tptp.sepSubset @t52)) 164.29/164.68 (define @t54 () (=> tptp.subsetE @t53)) 164.29/164.68 (define @t55 () (not @t54)) 164.29/164.68 (define @t56 () (_ (_ tptp.setadjoin @t2) tptp.emptyset)) 164.29/164.68 (define @t57 () (= @t5 @t56)) 164.29/164.68 (define @t58 () (and @t6 @t57)) 164.29/164.68 (define @t59 () (exists @t14 @t58)) 164.29/164.68 (define @t60 () (@list @t5)) 164.29/164.68 (define @t61 () (lambda @t60 @t59)) 164.29/164.68 (define @t62 () (@list @t5 @t31 @t2 @t29)) 164.29/164.68 (define @t63 () (lambda @t62 (_ tptp.setunion @t38))) 164.29/164.68 (define @t64 () (@var "BOUND_VARIABLE_7627" $$unsorted)) 164.29/164.68 (define @t65 () (and @t31 (= @t2 @t30))) 164.29/164.68 (define @t66 () (not (tptp.in @t64 @t5))) 164.29/164.68 (define @t67 () (tptp.in @t2 @t5)) 164.29/164.68 (define @t68 () (not @t67)) 164.29/164.68 (define @t69 () (@list @t5 @t31 @t2 @t64)) 164.29/164.68 (define @t70 () (forall @t69 (or @t68 @t66 (tptp.in (tptp.setunion (tptp.dsetconstr @t5 (lambda @t36 (or @t65 (and @t32 (= @t30 @t64)))))) @t5)))) 164.29/164.68 (define @t71 () (@var "BOUND_VARIABLE_7546" $$unsorted)) 164.29/164.68 (define @t72 () (and @t32 (= @t71 @t30))) 164.29/164.68 (define @t73 () (or @t65 @t72)) 164.29/164.68 (define @t74 () (lambda @t36 @t73)) 164.29/164.68 (define @t75 () (tptp.dsetconstr @t5 @t74)) 164.29/164.68 (define @t76 () (@var "BOUND_VARIABLE_7499" $$unsorted)) 164.29/164.68 (define @t77 () (tptp.setadjoin @t76 tptp.emptyset)) 164.29/164.68 (define @t78 () (= @t77 @t75)) 164.29/164.68 (define @t79 () (not @t78)) 164.29/164.68 (define @t80 () (tptp.in @t76 @t75)) 164.29/164.68 (define @t81 () (not @t80)) 164.29/164.68 (define @t82 () (or @t81 @t79)) 164.29/164.68 (define @t83 () (@list @t76)) 164.29/164.68 (define @t84 () (forall @t83 @t82)) 164.29/164.68 (define @t85 () (not @t84)) 164.29/164.68 (define @t86 () (not (tptp.in @t71 @t5))) 164.29/164.68 (define @t87 () (or @t68 @t86 @t85)) 164.29/164.68 (define @t88 () (or @t86 @t85)) 164.29/164.68 (define @t89 () (or @t68 @t88)) 164.29/164.68 (define @t90 () (@list @t5 @t31 @t2 @t71)) 164.29/164.68 (define @t91 () (forall @t90 @t89)) 164.29/164.68 (define @t92 () (@list @t71)) 164.29/164.68 (define @t93 () (forall @t92 @t89)) 164.29/164.68 (define @t94 () (forall @t92 @t88)) 164.29/164.68 (define @t95 () (@list @t29)) 164.29/164.68 (define @t96 () (or @t68 @t94)) 164.29/164.68 (define @t97 () (lambda @t36 (or @t65 (and @t32 (= @t29 @t30))))) 164.29/164.68 (define @t98 () (tptp.dsetconstr @t5 @t97)) 164.29/164.68 (define @t99 () (not (tptp.in @t76 @t98))) 164.29/164.68 (define @t100 () (not (forall @t83 (or @t99 (not (= @t77 @t98)))))) 164.29/164.68 (define @t101 () (tptp.in @t29 @t5)) 164.29/164.68 (define @t102 () (not @t101)) 164.29/164.68 (define @t103 () (forall @t41 (or @t102 @t100))) 164.29/164.68 (define @t104 () (not @t6)) 164.29/164.68 (define @t105 () (or @t104 @t103)) 164.29/164.68 (define @t106 () (not @t39)) 164.29/164.68 (define @t107 () (or @t106 @t100)) 164.29/164.68 (define @t108 () (not (= @t98 @t77))) 164.29/164.68 (define @t109 () (or @t99 @t108)) 164.29/164.68 (define @t110 () (_ @t16 @t97)) 164.29/164.68 (define @t111 () (= @t110 @t77)) 164.29/164.68 (define @t112 () (not @t111)) 164.29/164.68 (define @t113 () (tptp.in @t76 @t110)) 164.29/164.68 (define @t114 () (not @t113)) 164.29/164.68 (define @t115 () (or @t114 @t112)) 164.29/164.68 (define @t116 () (forall @t83 @t115)) 164.29/164.68 (define @t117 () (not @t116)) 164.29/164.68 (define @t118 () (tptp.setadjoin @t2 tptp.emptyset)) 164.29/164.68 (define @t119 () (forall @t14 (or @t68 (not (= @t5 @t118))))) 164.29/164.68 (define @t120 () (@list @t2)) 164.29/164.68 (define @t121 () (not @t119)) 164.29/164.68 (define @t122 () (lambda @t60 @t121)) 164.29/164.68 (define @t123 () (=> @t39 (_ @t122 @t38))) 164.29/164.68 (define @t124 () (forall @t41 @t123)) 164.29/164.68 (define @t125 () (=> @t6 @t124)) 164.29/164.68 (define @t126 () (forall @t44 @t125)) 164.29/164.68 (define @t127 () (not @t57)) 164.29/164.68 (define @t128 () (or @t104 @t127)) 164.29/164.68 (define @t129 () (forall @t14 (not @t58))) 164.29/164.68 (define @t130 () (not @t129)) 164.29/164.68 (define @t131 () (=> tptp.ifSingleton @t70)) 164.29/164.68 (define @t132 () (@var "BOUND_VARIABLE_7462" $$unsorted)) 164.29/164.68 (define @t133 () (tptp.setadjoin @t132 tptp.emptyset)) 164.29/164.68 (define @t134 () (not (tptp.in @t132 @t133))) 164.29/164.68 (define @t135 () (tptp.in (tptp.setunion @t133) @t133)) 164.29/164.68 (define @t136 () (not (= @t133 @t133))) 164.29/164.68 (define @t137 () (or @t135 @t134 @t136)) 164.29/164.68 (define @t138 () (@list @t132)) 164.29/164.68 (define @t139 () (not (= @t22 @t133))) 164.29/164.68 (define @t140 () (not (tptp.in @t132 @t22))) 164.29/164.68 (define @t141 () (tptp.setunion @t22)) 164.29/164.68 (define @t142 () (tptp.in @t141 @t22)) 164.29/164.68 (define @t143 () (or @t139 @t142 @t140 @t139)) 164.29/164.68 (define @t144 () (or @t142 @t140 @t139)) 164.29/164.68 (define @t145 () (forall @t26 @t144)) 164.29/164.68 (define @t146 () (forall @t138 @t145)) 164.29/164.68 (define @t147 () (forall (@list @t132 @t22) @t144)) 164.29/164.68 (define @t148 () (@list @t22 @t132)) 164.29/164.68 (define @t149 () (not (= @t133 @t22))) 164.29/164.68 (define @t150 () (or @t142 @t140 @t149)) 164.29/164.68 (define @t151 () (or @t140 @t149)) 164.29/164.68 (define @t152 () (or @t151 @t142)) 164.29/164.68 (define @t153 () (forall @t148 @t152)) 164.29/164.68 (define @t154 () (forall @t138 @t152)) 164.29/164.68 (define @t155 () (forall @t138 @t151)) 164.29/164.68 (define @t156 () (or @t155 @t142)) 164.29/164.68 (define @t157 () (not (tptp.in @t2 @t22))) 164.29/164.68 (define @t158 () (forall @t14 (or @t157 (not (= @t118 @t22))))) 164.29/164.68 (define @t159 () (or @t158 @t24)) 164.29/164.68 (define @t160 () (not @t158)) 164.29/164.68 (define @t161 () (not (= @t22 @t118))) 164.29/164.68 (define @t162 () (or @t157 @t161)) 164.29/164.68 (define @t163 () (forall @t14 @t162)) 164.29/164.68 (define @t164 () (not @t163)) 164.29/164.68 (define @t165 () (_ @t122 @t22)) 164.29/164.68 (define @t166 () (=> @t165 @t24)) 164.29/164.68 (define @t167 () (forall @t26 @t166)) 164.29/164.68 (define @t168 () (=> tptp.theprop @t131)) 164.29/164.68 (define @t169 () (_ @t12 @t2)) 164.29/164.68 (define @t170 () (lambda @t14 @t169)) 164.29/164.68 (define @t171 () (tptp.dsetconstr @t5 @t170)) 164.29/164.68 (define @t172 () (tptp.subset @t171 @t5)) 164.29/164.68 (define @t173 () (=> tptp.sepSubset @t168)) 164.29/164.68 (define @t174 () (tptp.in @t2 @t1)) 164.29/164.68 (define @t175 () (tptp.subset @t5 @t1)) 164.29/164.68 (define @t176 () (not @t8)) 164.29/164.68 (define @t177 () (or @t176 @t104 @t4)) 164.29/164.68 (define @t178 () (=> tptp.subsetE @t173)) 164.29/164.68 (define @t179 () (and @t32 (= @t64 @t30))) 164.29/164.68 (define @t180 () (or @t65 @t179)) 164.29/164.68 (define @t181 () (lambda @t36 @t180)) 164.29/164.68 (define @t182 () (tptp.dsetconstr @t5 @t181)) 164.29/164.68 (define @t183 () (tptp.setunion @t182)) 164.29/164.68 (define @t184 () (tptp.in @t183 @t5)) 164.29/164.68 (define @t185 () (or @t68 @t66 @t184)) 164.29/164.68 (define @t186 () (or @t66 @t184)) 164.29/164.68 (define @t187 () (or @t68 @t186)) 164.29/164.68 (define @t188 () (forall @t69 @t187)) 164.29/164.68 (define @t189 () (@list @t64)) 164.29/164.68 (define @t190 () (forall @t189 @t187)) 164.29/164.68 (define @t191 () (forall @t189 @t186)) 164.29/164.68 (define @t192 () (or @t68 @t191)) 164.29/164.68 (define @t193 () (tptp.setunion @t98)) 164.29/164.68 (define @t194 () (tptp.in @t193 @t5)) 164.29/164.68 (define @t195 () (forall @t41 (or @t102 @t194))) 164.29/164.68 (define @t196 () (or @t104 @t195)) 164.29/164.68 (define @t197 () (_ tptp.setunion @t110)) 164.29/164.68 (define @t198 () (_ (_ tptp.in @t197) @t5)) 164.29/164.68 (define @t199 () (or @t106 @t198)) 164.29/164.68 (define @t200 () (lambda @t41 @t197)) 164.29/164.68 (define @t201 () (lambda (@list @t2 @t29) @t197)) 164.29/164.68 (define @t202 () (lambda (@list @t31 @t2 @t29) @t197)) 164.29/164.68 (define @t203 () (_ (lambda @t62 @t197) @t5)) 164.29/164.68 (define @t204 () (=> @t39 (_ (_ tptp.in (_ (_ (_ @t203 @t31) @t2) @t29)) @t5))) 164.29/164.68 (define @t205 () (forall @t41 @t204)) 164.29/164.68 (define @t206 () (=> @t6 @t205)) 164.29/164.68 (define @t207 () (forall @t44 @t206)) 164.29/164.68 (define @t208 () (=> tptp.ifSingleton @t207)) 164.29/164.68 (define @t209 () (=> tptp.theprop @t208)) 164.29/164.68 (define @t210 () (=> tptp.sepSubset @t209)) 164.29/164.68 (define @t211 () (=> tptp.subsetE @t210)) 164.29/164.68 (define @t212 () (@quantifiers_skolemize @t70 3)) 164.29/164.68 (define @t213 () (= @t30 @t212)) 164.29/164.68 (define @t214 () (not false)) 164.29/164.68 (define @t215 () (and @t214 @t213)) 164.29/164.68 (define @t216 () (@quantifiers_skolemize @t70 2)) 164.29/164.68 (define @t217 () (= @t216 @t30)) 164.29/164.68 (define @t218 () (and false @t217)) 164.29/164.68 (define @t219 () (or @t218 @t215)) 164.29/164.68 (define @t220 () (lambda @t36 @t219)) 164.29/164.68 (define @t221 () (@quantifiers_skolemize @t70 0)) 164.29/164.68 (define @t222 () (tptp.dsetconstr @t221 @t220)) 164.29/164.68 (define @t223 () (= @t77 @t222)) 164.29/164.68 (define @t224 () (not @t223)) 164.29/164.68 (define @t225 () (tptp.in @t76 @t222)) 164.29/164.68 (define @t226 () (not @t225)) 164.29/164.68 (define @t227 () (or @t226 @t224)) 164.29/164.68 (define @t228 () (forall @t83 @t227)) 164.29/164.68 (define @t229 () (not @t228)) 164.29/164.68 (define @t230 () (tptp.in @t212 @t221)) 164.29/164.68 (define @t231 () (not @t230)) 164.29/164.68 (define @t232 () (tptp.in @t216 @t221)) 164.29/164.68 (define @t233 () (not @t232)) 164.29/164.68 (define @t234 () (or @t233 @t231 @t229)) 164.29/164.68 (define @t235 () (tptp.dsetconstr @t5 (lambda @t36 (or @t65 (and @t32 (= @t30 @t71)))))) 164.29/164.68 (define @t236 () (forall @t90 (or @t68 @t86 (not (forall @t83 (or (not (tptp.in @t76 @t235)) (not (= @t77 @t235)))))))) 164.29/164.68 (define @t237 () (@list false)) 164.29/164.68 (define @t238 () (@list @t236)) 164.29/164.68 (define @t239 () (@quantifiers_skolemize @t70 1)) 164.29/164.68 (define @t240 () (not @t239)) 164.29/164.68 (define @t241 () (and @t240 @t213)) 164.29/164.68 (define @t242 () (= @t30 @t216)) 164.29/164.68 (define @t243 () (lambda @t36 (or (and @t239 @t242) @t241))) 164.29/164.68 (define @t244 () (@purify @t243)) 164.29/164.68 (define @t245 () (tptp.dsetconstr @t221 @t244)) 164.29/164.68 (define @t246 () (tptp.in (tptp.setunion @t245) @t221)) 164.29/164.68 (define @t247 () (or @t233 @t231 @t246)) 164.29/164.68 (define @t248 () (not @t247)) 164.29/164.68 (define @t249 () (not @t70)) 164.29/164.68 (define @t250 () (tptp.dsetconstr @t221 @t243)) 164.29/164.68 (define @t251 () (tptp.setunion @t250)) 164.29/164.68 (define @t252 () (tptp.in @t251 @t221)) 164.29/164.68 (define @t253 () (or @t233 @t231 @t252)) 164.29/164.68 (define @t254 () (not @t253)) 164.29/164.68 (define @t255 () (and @t239 @t217)) 164.29/164.68 (define @t256 () (or @t255 @t241)) 164.29/164.68 (define @t257 () (lambda @t36 @t256)) 164.29/164.68 (define @t258 () (tptp.dsetconstr @t221 @t257)) 164.29/164.68 (define @t259 () (tptp.setunion @t258)) 164.29/164.68 (define @t260 () (tptp.in @t259 @t221)) 164.29/164.68 (define @t261 () (or @t233 @t231 @t260)) 164.29/164.68 (define @t262 () (not @t261)) 164.29/164.68 (define @t263 () (@list true)) 164.29/164.68 (define @t264 () (@list @t247)) 164.29/164.68 (define @t265 () (lambda @t36 @t213)) 164.29/164.68 (define @t266 () (tptp.dsetconstr @t221 @t265)) 164.29/164.68 (define @t267 () (forall @t83 (or (not (tptp.in @t76 @t266)) (not (= @t77 @t266))))) 164.29/164.68 (define @t268 () (not @t267)) 164.29/164.68 (define @t269 () (or @t233 @t231 @t268)) 164.29/164.68 (define @t270 () (@purify @t265)) 164.29/164.68 (define @t271 () (tptp.dsetconstr @t221 @t270)) 164.29/164.68 (define @t272 () (@quantifiers_skolemize @t267 0)) 164.29/164.68 (define @t273 () (tptp.setadjoin @t272 tptp.emptyset)) 164.29/164.68 (define @t274 () (= @t273 @t271)) 164.29/164.68 (define @t275 () (not @t274)) 164.29/164.68 (define @t276 () (tptp.in @t272 @t271)) 164.29/164.68 (define @t277 () (not @t276)) 164.29/164.68 (define @t278 () (or @t277 @t275)) 164.29/164.68 (define @t279 () (not @t278)) 164.29/164.68 (define @t280 () (= @t266 @t273)) 164.29/164.68 (define @t281 () (not @t280)) 164.29/164.68 (define @t282 () (tptp.in @t272 @t266)) 164.29/164.68 (define @t283 () (not @t282)) 164.29/164.68 (define @t284 () (or @t283 @t281)) 164.29/164.68 (define @t285 () (not @t284)) 164.29/164.68 (define @t286 () (not (= @t273 @t266))) 164.29/164.68 (define @t287 () (or @t283 @t286)) 164.29/164.68 (define @t288 () (not @t287)) 164.29/164.68 (define @t289 () (@list @t278)) 164.29/164.68 (define @t290 () (tptp.in @t272 @t273)) 164.29/164.68 (define @t291 () (not @t290)) 164.29/164.68 (define @t292 () (tptp.setunion @t273)) 164.29/164.68 (define @t293 () (tptp.in @t292 @t273)) 164.29/164.68 (define @t294 () (or @t293 @t291)) 164.29/164.68 (define @t295 () (@list false false)) 164.29/164.68 (define @t296 () (= @t244 @t270)) 164.29/164.68 (define @t297 () (tptp.in @t292 @t245)) 164.29/164.68 (define @t298 () (and @t274 @t293 @t296)) 164.29/164.68 (define @t299 () (tptp.in @t292 @t221)) 164.29/164.68 (define @t300 () (not @t299)) 164.29/164.68 (define @t301 () (not @t296)) 164.29/164.68 (define @t302 () (not @t246)) 164.29/164.68 (define @t303 () (not @t302)) 164.29/164.68 (define @t304 () (and @t302 @t274 @t296)) 164.29/164.68 (define @t305 () (not @t297)) 164.29/164.68 (define @t306 () (tptp.subset @t245 @t221)) 164.29/164.68 (define @t307 () (not @t306)) 164.29/164.68 (define @t308 () (or @t307 @t305 @t299)) 164.29/164.68 (define @t309 () (@list false false true false true false false false)) 164.29/164.68 (define @t310 () (@const 0 $$unsorted)) 164.29/164.68 (define @t311 () (= @t212 @t310)) 164.29/164.68 (define @t312 () (and @t240 @t311)) 164.29/164.68 (define @t313 () (and @t239 (= @t216 @t310))) 164.29/164.68 (define @t314 () (or @t313 @t312)) 164.29/164.68 (define @t315 () (= @t310 @t212)) 164.29/164.68 (define @t316 () (_ @t265 @t310)) 164.29/164.68 (define @t317 () (_ @t270 @t310)) 164.29/164.68 (define @t318 () (and @t240 @t315)) 164.29/164.68 (define @t319 () (and @t239 (= @t310 @t216))) 164.29/164.68 (define @t320 () (or @t319 @t318)) 164.29/164.68 (define @t321 () (_ @t243 @t310)) 164.29/164.68 (define @t322 () (_ @t244 @t310)) 164.29/164.68 (define @t323 () (= @t322 @t317)) 164.29/164.68 (define @t324 () (not @t323)) 164.29/164.68 (define @t325 () (or @t296 @t324)) 164.29/164.68 (define @t326 () (not @t311)) 164.29/164.68 (define @t327 () (= @t311 @t314)) 164.29/164.68 (define @t328 () (@list false true true)) 164.29/164.68 (define @t329 () (@const 1 $$unsorted)) 164.29/164.68 (define @t330 () (and @t240 (= @t212 @t329))) 164.29/164.68 (define @t331 () (and @t214 @t242)) 164.29/164.68 (define @t332 () (or @t218 @t331)) 164.29/164.68 (define @t333 () (lambda @t36 @t332)) 164.29/164.68 (define @t334 () (tptp.dsetconstr @t221 @t333)) 164.29/164.68 (define @t335 () (= @t77 @t334)) 164.29/164.68 (define @t336 () (not @t335)) 164.29/164.68 (define @t337 () (tptp.in @t76 @t334)) 164.29/164.68 (define @t338 () (not @t337)) 164.29/164.68 (define @t339 () (or @t338 @t336)) 164.29/164.68 (define @t340 () (forall @t83 @t339)) 164.29/164.68 (define @t341 () (not @t340)) 164.29/164.68 (define @t342 () (or @t233 @t233 @t341)) 164.29/164.68 (define @t343 () (lambda @t36 @t242)) 164.29/164.68 (define @t344 () (tptp.dsetconstr @t221 @t343)) 164.29/164.68 (define @t345 () (forall @t83 (or (not (tptp.in @t76 @t344)) (not (= @t77 @t344))))) 164.29/164.68 (define @t346 () (not @t345)) 164.29/164.68 (define @t347 () (or @t233 @t233 @t346)) 164.29/164.68 (define @t348 () (@purify @t343)) 164.29/164.68 (define @t349 () (tptp.dsetconstr @t221 @t348)) 164.29/164.68 (define @t350 () (@quantifiers_skolemize @t345 0)) 164.29/164.68 (define @t351 () (tptp.setadjoin @t350 tptp.emptyset)) 164.29/164.68 (define @t352 () (= @t351 @t349)) 164.29/164.68 (define @t353 () (not @t352)) 164.29/164.68 (define @t354 () (tptp.in @t350 @t349)) 164.29/164.68 (define @t355 () (not @t354)) 164.29/164.68 (define @t356 () (or @t355 @t353)) 164.29/164.68 (define @t357 () (not @t356)) 164.29/164.68 (define @t358 () (= @t344 @t351)) 164.29/164.68 (define @t359 () (not @t358)) 164.29/164.68 (define @t360 () (tptp.in @t350 @t344)) 164.29/164.68 (define @t361 () (not @t360)) 164.29/164.68 (define @t362 () (or @t361 @t359)) 164.29/164.68 (define @t363 () (not @t362)) 164.29/164.68 (define @t364 () (not (= @t351 @t344))) 164.29/164.68 (define @t365 () (or @t361 @t364)) 164.29/164.68 (define @t366 () (not @t365)) 164.29/164.68 (define @t367 () (@list @t356)) 164.29/164.68 (define @t368 () (tptp.in @t350 @t351)) 164.29/164.68 (define @t369 () (not @t368)) 164.29/164.68 (define @t370 () (tptp.setunion @t351)) 164.29/164.68 (define @t371 () (tptp.in @t370 @t351)) 164.29/164.68 (define @t372 () (or @t371 @t369)) 164.29/164.68 (define @t373 () (= @t244 @t348)) 164.29/164.68 (define @t374 () (tptp.in @t370 @t245)) 164.29/164.68 (define @t375 () (and @t352 @t371 @t373)) 164.29/164.68 (define @t376 () (tptp.in @t370 @t221)) 164.29/164.68 (define @t377 () (not @t376)) 164.29/164.68 (define @t378 () (not @t373)) 164.29/164.68 (define @t379 () (and @t302 @t352 @t373)) 164.29/164.68 (define @t380 () (not @t374)) 164.29/164.68 (define @t381 () (or @t307 @t380 @t376)) 164.29/164.68 (define @t382 () (= @t216 @t329)) 164.29/164.68 (define @t383 () (and @t239 @t382)) 164.29/164.68 (define @t384 () (or @t383 @t330)) 164.29/164.68 (define @t385 () (= @t329 @t216)) 164.29/164.68 (define @t386 () (_ @t343 @t329)) 164.29/164.68 (define @t387 () (_ @t348 @t329)) 164.29/164.68 (define @t388 () (and @t240 (= @t329 @t212))) 164.29/164.68 (define @t389 () (and @t239 @t385)) 164.29/164.68 (define @t390 () (or @t389 @t388)) 164.29/164.68 (define @t391 () (_ @t243 @t329)) 164.29/164.68 (define @t392 () (_ @t244 @t329)) 164.29/164.68 (define @t393 () (= @t392 @t387)) 164.29/164.68 (define @t394 () (not @t393)) 164.29/164.68 (define @t395 () (or @t373 @t394)) 164.29/164.68 (define @t396 () (= @t382 @t384)) 164.29/164.68 (assume @p1 @t11) 164.29/164.68 (assume @p2 @t21) 164.29/164.68 (assume @p3 @t28) 164.29/164.68 (assume @p4 @t46) 164.29/164.68 (assume @p5 @t55) 164.29/164.68 (assume @p6 true) 164.29/164.68 (step @p7 (= tptp.singleton @t61) :rule refl :args (@t61)) 164.29/164.68 (step @p8 (= tptp.if @t63) :rule refl :args (@t63)) 164.29/164.68 (step @p9 :rule refl :args (@t70)) 164.29/164.68 (step @p10 :rule eq-symm :args (@t71 @t30)) 164.29/164.68 (step @p11 :rule refl :args (@t32)) 164.29/164.68 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t72)) 164.29/164.68 (step @p13 :rule refl :args (@t65)) 164.29/164.68 (step @p14 :rule nary_cong :premises (@p13 @p12) :args (@t73)) 164.29/164.68 (step @p15 :rule cong :premises (@p14) :args (@t74)) 164.29/164.68 (step @p16 :rule refl :args (@t5)) 164.29/164.68 (step @p17 :rule cong :premises (@p16 @p15) :args (@t75)) 164.29/164.68 (step @p18 :rule refl :args (@t77)) 164.29/164.68 (step @p19 :rule cong :premises (@p18 @p17) :args (@t78)) 164.29/164.68 (step @p20 :rule cong :premises (@p19) :args (@t79)) 164.29/164.68 (step @p21 :rule refl :args (@t76)) 164.29/164.68 (step @p22 :rule cong :premises (@p21 @p17) :args (@t80)) 164.29/164.68 (step @p23 :rule cong :premises (@p22) :args (@t81)) 164.29/164.68 (step @p24 :rule nary_cong :premises (@p23 @p20) :args (@t82)) 164.29/164.68 (step @p25 :rule cong :premises (@p24) :args (@t84)) 164.29/164.68 (step @p26 :rule cong :premises (@p25) :args (@t85)) 164.29/164.68 (step @p27 :rule refl :args (@t86)) 164.29/164.68 (step @p28 :rule refl :args (@t68)) 164.29/164.68 (step @p29 :rule nary_cong :premises (@p28 @p27 @p26) :args (@t87)) 164.29/164.68 (step @p30 :rule aci_norm :args ((= @t89 @t87))) 164.29/164.68 (step @p31 :rule trans :premises (@p30 @p29)) 164.29/164.68 (step @p32 :rule cong :premises (@p31) :args (@t91)) 164.29/164.68 (step @p33 :rule quant-merge-prenex :args ((= (forall @t44 @t93) @t91))) 164.29/164.68 (step @p34 :rule alpha_equiv :args (@t94 (@list @t71) @t95)) 164.29/164.68 (step @p35 :rule refl :args (@t68)) 164.29/164.68 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t96)) 164.29/164.68 (step @p37 :rule quant-miniscope-or :args ((= @t93 @t96))) 164.29/164.68 (step @p38 :rule trans :premises (@p37 @p36)) 164.29/164.68 (step @p39 :rule symm :premises (@p38)) 164.29/164.68 (step @p40 :rule cong :premises (@p39) :args ((forall @t44 (or @t68 @t103)))) 164.29/164.68 (step @p41 :rule trans :premises (@p40 @p33)) 164.29/164.68 (step @p42 :rule trans :premises (@p41 @p32)) 164.29/164.68 (step @p43 :rule refl :args (@t103)) 164.29/164.68 (step @p44 :rule refl :args (@t67)) 164.29/164.68 (step @p45 :rule refl :args (@t6)) 164.29/164.68 (step @p46 :rule cong :premises (@p45 @p44) :args ((= @t6 @t67))) 164.29/164.68 (step @p47 :rule symm :premises (@p46)) 164.29/164.68 (step @p48 :rule eq_resolve :premises (@p45 @p47)) 164.29/164.68 (step @p49 :rule cong :premises (@p48) :args (@t104)) 164.29/164.68 (step @p50 :rule nary_cong :premises (@p49 @p43) :args (@t105)) 164.29/164.68 (step @p51 :rule cong :premises (@p50) :args ((forall @t44 @t105))) 164.29/164.68 (step @p52 :rule trans :premises (@p51 @p42)) 164.29/164.68 (step @p53 :rule bool-impl-elim :args (@t6 @t103)) 164.29/164.68 (step @p54 :rule cong :premises (@p53) :args ((forall @t44 (=> @t6 @t103)))) 164.29/164.68 (step @p55 :rule trans :premises (@p54 @p52)) 164.29/164.68 (step @p56 :rule refl :args (@t100)) 164.29/164.68 (step @p57 :rule refl :args (@t101)) 164.29/164.68 (step @p58 :rule refl :args (@t39)) 164.29/164.68 (step @p59 :rule cong :premises (@p58 @p57) :args ((= @t39 @t101))) 164.29/164.68 (step @p60 :rule symm :premises (@p59)) 164.29/164.68 (step @p61 :rule eq_resolve :premises (@p58 @p60)) 164.29/164.68 (step @p62 :rule cong :premises (@p61) :args (@t106)) 164.29/164.68 (step @p63 :rule nary_cong :premises (@p62 @p56) :args (@t107)) 164.29/164.68 (step @p64 :rule cong :premises (@p63) :args ((forall @t41 @t107))) 164.29/164.68 (step @p65 :rule bool-impl-elim :args (@t39 @t100)) 164.29/164.68 (step @p66 :rule cong :premises (@p65) :args ((forall @t41 (=> @t39 @t100)))) 164.29/164.68 (step @p67 :rule trans :premises (@p66 @p64)) 164.29/164.68 (step @p68 :rule eq-symm :args (@t98 @t77)) 164.29/164.68 (step @p69 :rule cong :premises (@p68) :args (@t108)) 164.29/164.68 (step @p70 :rule refl :args (@t99)) 164.29/164.68 (step @p71 :rule nary_cong :premises (@p70 @p69) :args (@t109)) 164.29/164.68 (step @p72 :rule cong :premises (@p71) :args ((forall @t83 @t109))) 164.29/164.68 (step @p73 :rule refl :args (@t77)) 164.29/164.68 (step @p74 :rule refl :args (@t98)) 164.29/164.68 (step @p75 :rule refl :args (@t110)) 164.29/164.68 (step @p76 :rule cong :premises (@p75 @p74) :args ((= @t110 @t98))) 164.29/164.68 (step @p77 :rule symm :premises (@p76)) 164.29/164.68 (step @p78 :rule eq_resolve :premises (@p75 @p77)) 164.29/164.68 (step @p79 :rule cong :premises (@p78 @p73) :args (@t111)) 164.29/164.68 (step @p80 :rule cong :premises (@p79) :args (@t112)) 164.29/164.68 (step @p81 :rule refl :args (@t76)) 164.29/164.68 (step @p82 :rule cong :premises (@p81 @p78) :args (@t113)) 164.29/164.68 (step @p83 :rule cong :premises (@p82) :args (@t114)) 164.29/164.68 (step @p84 :rule nary_cong :premises (@p83 @p80) :args (@t115)) 164.29/164.68 (step @p85 :rule cong :premises (@p84) :args (@t116)) 164.29/164.68 (step @p86 :rule trans :premises (@p85 @p72)) 164.29/164.68 (step @p87 :rule cong :premises (@p86) :args (@t117)) 164.29/164.68 (step @p88 :rule beta-reduce :args ((= (_ (lambda @t60 (not (forall @t83 (or (not (tptp.in @t76 @t5)) (not (= @t5 @t77)))))) @t110) @t117))) 164.29/164.68 (step @p89 :rule trans :premises (@p88 @p87)) 164.29/164.68 (step @p90 :rule alpha_equiv :args (@t119 @t120 (@list @t76))) 164.29/164.68 (step @p91 :rule cong :premises (@p90) :args (@t121)) 164.29/164.68 (step @p92 :rule cong :premises (@p91) :args (@t122)) 164.29/164.68 (step @p93 :rule ho_cong :premises (@p92 @p75)) 164.29/164.68 (step @p94 :rule trans :premises (@p93 @p89)) 164.29/164.68 (step @p95 :rule eq-symm :args (@t30 @t29)) 164.29/164.68 (step @p96 :rule nary_cong :premises (@p11 @p95) :args (@t33)) 164.29/164.68 (step @p97 :rule eq-symm :args (@t30 @t2)) 164.29/164.68 (step @p98 :rule refl :args (@t31)) 164.29/164.68 (step @p99 :rule nary_cong :premises (@p98 @p97) :args (@t34)) 164.29/164.68 (step @p100 :rule nary_cong :premises (@p99 @p96) :args (@t35)) 164.29/164.68 (step @p101 :rule cong :premises (@p100) :args (@t37)) 164.29/164.68 (step @p102 :rule refl :args (@t16)) 164.29/164.68 (step @p103 :rule ho_cong :premises (@p102 @p101)) 164.29/164.68 (step @p104 :rule refl :args (@t122)) 164.29/164.68 (step @p105 :rule ho_cong :premises (@p104 @p103)) 164.29/164.68 (step @p106 :rule trans :premises (@p105 @p94)) 164.29/164.68 (step @p107 :rule refl :args (@t39)) 164.29/164.68 (step @p108 :rule cong :premises (@p107 @p106) :args (@t123)) 164.29/164.68 (step @p109 :rule cong :premises (@p108) :args (@t124)) 164.29/164.68 (step @p110 :rule trans :premises (@p109 @p67)) 164.29/164.68 (step @p111 :rule refl :args (@t6)) 164.29/164.68 (step @p112 :rule cong :premises (@p111 @p110) :args (@t125)) 164.29/164.68 (step @p113 :rule cong :premises (@p112) :args (@t126)) 164.29/164.68 (step @p114 :rule trans :premises (@p113 @p55)) 164.29/164.68 (step @p115 :rule refl :args (tptp.ifSingleton)) 164.29/164.68 (step @p116 :rule cong :premises (@p115 @p114) :args ((= tptp.ifSingleton @t126))) 164.29/164.68 (step @p117 :rule refl :args (@t38)) 164.29/164.68 (step @p118 :rule refl :args (@t118)) 164.29/164.68 (step @p119 :rule refl :args (@t56)) 164.29/164.68 (step @p120 :rule cong :premises (@p119 @p118) :args ((= @t56 @t118))) 164.29/164.68 (step @p121 :rule symm :premises (@p120)) 164.29/164.68 (step @p122 :rule eq_resolve :premises (@p119 @p121)) 164.29/164.68 (step @p123 :rule refl :args (@t5)) 164.29/164.68 (step @p124 :rule cong :premises (@p123 @p122) :args (@t57)) 164.29/164.68 (step @p125 :rule cong :premises (@p124) :args (@t127)) 164.29/164.68 (step @p126 :rule nary_cong :premises (@p49 @p125) :args (@t128)) 164.29/164.68 (step @p127 :rule cong :premises (@p126) :args ((forall @t14 @t128))) 164.29/164.68 (step @p128 :rule bool-and-de-morgan :args (@t6 @t57 true)) 164.29/164.68 (step @p129 :rule cong :premises (@p128) :args (@t129)) 164.29/164.68 (step @p130 :rule trans :premises (@p129 @p127)) 164.29/164.68 (step @p131 :rule cong :premises (@p130) :args (@t130)) 164.29/164.68 (step @p132 :rule exists-elim :args ((= @t59 @t130))) 164.29/164.68 (step @p133 :rule trans :premises (@p132 @p131)) 164.29/164.68 (step @p134 :rule cong :premises (@p133) :args (@t61)) 164.29/164.68 (step @p135 :rule trans :premises (@p7 @p134)) 164.29/164.68 (step @p136 :rule ho_cong :premises (@p135 @p117)) 164.29/164.68 (step @p137 :rule cong :premises (@p107 @p136) :args (@t40)) 164.29/164.68 (step @p138 :rule cong :premises (@p137) :args (@t42)) 164.29/164.68 (step @p139 :rule cong :premises (@p111 @p138) :args (@t43)) 164.29/164.68 (step @p140 :rule cong :premises (@p139) :args (@t45)) 164.29/164.68 (step @p141 :rule cong :premises (@p115 @p140) :args (@t46)) 164.29/164.68 (step @p142 :rule trans :premises (@p141 @p116)) 164.29/164.68 (step @p143 :rule eq_resolve :premises (@p4 @p142)) 164.29/164.68 (step @p144 :rule cong :premises (@p143 @p9) :args (@t131)) 164.29/164.68 (step @p145 :rule aci_norm :args ((= (or @t135 @t134 false) (or @t135 @t134)))) 164.29/164.68 (step @p146 :rule evaluate :args ((not true))) 164.29/164.68 (step @p147 :rule eq-refl :args (@t133)) 164.29/164.68 (step @p148 :rule cong :premises (@p147) :args (@t136)) 164.29/164.68 (step @p149 :rule trans :premises (@p148 @p146)) 164.29/164.68 (step @p150 :rule refl :args (@t134)) 164.29/164.68 (step @p151 :rule refl :args (@t135)) 164.29/164.68 (step @p152 :rule nary_cong :premises (@p151 @p150 @p149) :args (@t137)) 164.29/164.68 (step @p153 :rule trans :premises (@p152 @p145)) 164.29/164.68 (step @p154 :rule cong :premises (@p153) :args ((forall @t138 @t137))) 164.29/164.68 (step @p155 :rule quant-var-elim-eq :args ((= (forall @t26 @t143) @t137))) 164.29/164.68 (step @p156 :rule aci_norm :args ((= @t144 @t143))) 164.29/164.68 (step @p157 :rule cong :premises (@p156) :args (@t145)) 164.29/164.68 (step @p158 :rule trans :premises (@p157 @p155)) 164.29/164.68 (step @p159 :rule cong :premises (@p158) :args (@t146)) 164.29/164.68 (step @p160 :rule quant-merge-prenex :args ((= @t146 @t147))) 164.29/164.68 (step @p161 :rule symm :premises (@p160)) 164.29/164.68 (step @p162 :rule quant_var_reordering :args ((= (forall @t148 @t144) @t147))) 164.29/164.68 (step @p163 :rule trans :premises (@p162 @p161 @p159)) 164.29/164.68 (step @p164 :rule trans :premises (@p163 @p154)) 164.29/164.68 (step @p165 :rule eq-symm :args (@t133 @t22)) 164.29/164.68 (step @p166 :rule cong :premises (@p165) :args (@t149)) 164.29/164.68 (step @p167 :rule refl :args (@t140)) 164.29/164.68 (step @p168 :rule refl :args (@t142)) 164.29/164.68 (step @p169 :rule nary_cong :premises (@p168 @p167 @p166) :args (@t150)) 164.29/164.68 (step @p170 :rule aci_norm :args ((= @t152 @t150))) 164.29/164.68 (step @p171 :rule trans :premises (@p170 @p169)) 164.29/164.68 (step @p172 :rule cong :premises (@p171) :args (@t153)) 164.29/164.68 (step @p173 :rule trans :premises (@p172 @p164)) 164.29/164.68 (step @p174 :rule quant-merge-prenex :args ((= (forall @t26 @t154) @t153))) 164.29/164.68 (step @p175 :rule refl :args (@t142)) 164.29/164.68 (step @p176 :rule alpha_equiv :args (@t155 (@list @t132) @t120)) 164.29/164.68 (step @p177 :rule nary_cong :premises (@p176 @p175) :args (@t156)) 164.29/164.68 (step @p178 :rule quant-miniscope-or :args ((= @t154 @t156))) 164.29/164.68 (step @p179 :rule trans :premises (@p178 @p177)) 164.29/164.68 (step @p180 :rule symm :premises (@p179)) 164.29/164.68 (step @p181 :rule cong :premises (@p180) :args ((forall @t26 (or @t158 @t142)))) 164.29/164.68 (step @p182 :rule trans :premises (@p181 @p174)) 164.29/164.68 (step @p183 :rule trans :premises (@p182 @p173)) 164.29/164.68 (step @p184 :rule refl :args ((tptp.in @t23 @t22))) 164.29/164.68 (step @p185 :rule refl :args (@t22)) 164.29/164.68 (step @p186 :rule refl :args (@t141)) 164.29/164.68 (step @p187 :rule cong :premises (@p186 @p185) :args (@t142)) 164.29/164.68 (step @p188 :rule trans :premises (@p187 @p184)) 164.29/164.68 (step @p189 :rule refl :args (tptp.in)) 164.29/164.68 (step @p190 :rule ho_cong :premises (@p189 @p186)) 164.29/164.68 (step @p191 :rule ho_cong :premises (@p190 @p185)) 164.29/164.68 (step @p192 :rule cong :premises (@p191 @p188) :args ((= (_ (_ tptp.in @t141) @t22) @t142))) 164.29/164.68 (step @p193 :rule symm :premises (@p192)) 164.29/164.68 (step @p194 :rule refl :args (@t24)) 164.29/164.68 (step @p195 :rule eq_resolve :premises (@p194 @p193)) 164.29/164.68 (step @p196 :rule refl :args (@t23)) 164.29/164.68 (step @p197 :rule cong :premises (@p196 @p186) :args ((= @t23 @t141))) 164.29/164.68 (step @p198 :rule symm :premises (@p197)) 164.29/164.68 (step @p199 :rule eq_resolve :premises (@p196 @p198)) 164.29/164.68 (step @p200 :rule ho_cong :premises (@p189 @p199)) 164.29/164.68 (step @p201 :rule ho_cong :premises (@p200 @p185)) 164.29/164.68 (step @p202 :rule trans :premises (@p201 @p195)) 164.29/164.68 (step @p203 :rule refl :args (@t158)) 164.29/164.68 (step @p204 :rule nary_cong :premises (@p203 @p202) :args (@t159)) 164.29/164.68 (step @p205 :rule cong :premises (@p204) :args ((forall @t26 @t159))) 164.29/164.68 (step @p206 :rule trans :premises (@p205 @p183)) 164.29/164.68 (step @p207 :rule bool-double-not-elim :args (@t158)) 164.29/164.68 (step @p208 :rule nary_cong :premises (@p207 @p194) :args ((or (not @t160) @t24))) 164.29/164.68 (step @p209 :rule bool-impl-elim :args (@t160 @t24)) 164.29/164.68 (step @p210 :rule trans :premises (@p209 @p208)) 164.29/164.68 (step @p211 :rule cong :premises (@p210) :args ((forall @t26 (=> @t160 @t24)))) 164.29/164.68 (step @p212 :rule trans :premises (@p211 @p206)) 164.29/164.68 (step @p213 :rule refl :args (@t24)) 164.29/164.69 (step @p214 :rule eq-symm :args (@t22 @t118)) 164.29/164.69 (step @p215 :rule cong :premises (@p214) :args (@t161)) 164.29/164.69 (step @p216 :rule refl :args (@t157)) 164.29/164.69 (step @p217 :rule nary_cong :premises (@p216 @p215) :args (@t162)) 164.29/164.69 (step @p218 :rule cong :premises (@p217) :args (@t163)) 164.29/164.69 (step @p219 :rule cong :premises (@p218) :args (@t164)) 164.29/164.69 (step @p220 :rule beta-reduce :args ((= @t165 @t164))) 164.29/164.69 (step @p221 :rule trans :premises (@p220 @p219)) 164.29/164.69 (step @p222 :rule cong :premises (@p221 @p213) :args (@t166)) 164.29/164.69 (step @p223 :rule cong :premises (@p222) :args (@t167)) 164.29/164.69 (step @p224 :rule trans :premises (@p223 @p212)) 164.29/164.69 (step @p225 :rule refl :args (tptp.theprop)) 164.29/164.69 (step @p226 :rule cong :premises (@p225 @p224) :args ((= tptp.theprop @t167))) 164.29/164.69 (step @p227 :rule refl :args (@t22)) 164.29/164.69 (step @p228 :rule ho_cong :premises (@p135 @p227)) 164.29/164.69 (step @p229 :rule cong :premises (@p228 @p213) :args (@t25)) 164.29/164.69 (step @p230 :rule cong :premises (@p229) :args (@t27)) 164.29/164.69 (step @p231 :rule cong :premises (@p225 @p230) :args (@t28)) 164.29/164.69 (step @p232 :rule trans :premises (@p231 @p226)) 164.29/164.69 (step @p233 :rule eq_resolve :premises (@p3 @p232)) 164.29/164.69 (step @p234 :rule cong :premises (@p233 @p144) :args (@t168)) 164.29/164.69 (step @p235 :rule lambda-elim :args ((= @t170 @t12))) 164.29/164.69 (step @p236 :rule cong :premises (@p16 @p235) :args (@t171)) 164.29/164.69 (step @p237 :rule cong :premises (@p236 @p16) :args (@t172)) 164.29/164.69 (step @p238 :rule cong :premises (@p237) :args ((forall @t19 @t172))) 164.29/164.69 (step @p239 :rule refl :args ((tptp.subset @t17 @t5))) 164.29/164.69 (step @p240 :rule refl :args ((tptp.dsetconstr @t5 @t15))) 164.29/164.69 (step @p241 :rule refl :args (@t169)) 164.29/164.69 (step @p242 :rule cong :premises (@p241) :args (@t170)) 164.29/164.69 (step @p243 :rule cong :premises (@p123 @p242) :args (@t171)) 164.29/164.69 (step @p244 :rule trans :premises (@p243 @p240)) 164.29/164.69 (step @p245 :rule cong :premises (@p244 @p123) :args (@t172)) 164.29/164.69 (step @p246 :rule trans :premises (@p245 @p239)) 164.29/164.69 (step @p247 :rule refl :args (tptp.subset)) 164.29/164.69 (step @p248 :rule ho_cong :premises (@p247 @p244)) 164.29/164.69 (step @p249 :rule ho_cong :premises (@p248 @p123)) 164.29/164.69 (step @p250 :rule cong :premises (@p249 @p246) :args ((= (_ (_ tptp.subset @t171) @t5) @t172))) 164.29/164.69 (step @p251 :rule symm :premises (@p250)) 164.29/164.69 (step @p252 :rule refl :args (@t18)) 164.29/164.69 (step @p253 :rule eq_resolve :premises (@p252 @p251)) 164.29/164.69 (step @p254 :rule refl :args (@t16)) 164.29/164.69 (step @p255 :rule ho_cong :premises (@p254 @p242)) 164.29/164.69 (step @p256 :rule cong :premises (@p255 @p244) :args ((= (_ @t16 @t170) @t171))) 164.29/164.69 (step @p257 :rule symm :premises (@p256)) 164.29/164.69 (step @p258 :rule refl :args (@t17)) 164.29/164.69 (step @p259 :rule eq_resolve :premises (@p258 @p257)) 164.29/164.69 (step @p260 :rule refl :args (@t13)) 164.29/164.69 (step @p261 :rule cong :premises (@p260 @p241) :args ((= @t13 @t169))) 164.29/164.69 (step @p262 :rule symm :premises (@p261)) 164.29/164.69 (step @p263 :rule eq_resolve :premises (@p260 @p262)) 164.29/164.69 (step @p264 :rule cong :premises (@p263) :args (@t15)) 164.29/164.69 (step @p265 :rule ho_cong :premises (@p254 @p264)) 164.29/164.69 (step @p266 :rule trans :premises (@p265 @p259)) 164.29/164.69 (step @p267 :rule ho_cong :premises (@p247 @p266)) 164.29/164.69 (step @p268 :rule ho_cong :premises (@p267 @p123)) 164.29/164.69 (step @p269 :rule trans :premises (@p268 @p253)) 164.29/164.69 (step @p270 :rule cong :premises (@p269) :args (@t20)) 164.29/164.69 (step @p271 :rule trans :premises (@p270 @p238)) 164.29/164.69 (step @p272 :rule refl :args (tptp.sepSubset)) 164.29/164.69 (step @p273 :rule cong :premises (@p272 @p271) :args (@t21)) 164.29/164.69 (step @p274 :rule eq_resolve :premises (@p2 @p273)) 164.29/164.69 (step @p275 :rule cong :premises (@p274 @p234) :args (@t173)) 164.29/164.69 (step @p276 :rule refl :args (@t174)) 164.29/164.69 (step @p277 :rule refl :args (@t4)) 164.29/164.69 (step @p278 :rule cong :premises (@p277 @p276) :args ((= @t4 @t174))) 164.29/164.69 (step @p279 :rule symm :premises (@p278)) 164.29/164.69 (step @p280 :rule eq_resolve :premises (@p277 @p279)) 164.29/164.69 (step @p281 :rule refl :args (@t175)) 164.29/164.69 (step @p282 :rule refl :args (@t8)) 164.29/164.69 (step @p283 :rule cong :premises (@p282 @p281) :args ((= @t8 @t175))) 164.29/164.69 (step @p284 :rule symm :premises (@p283)) 164.29/164.69 (step @p285 :rule eq_resolve :premises (@p282 @p284)) 164.29/164.69 (step @p286 :rule cong :premises (@p285) :args (@t176)) 164.29/164.69 (step @p287 :rule nary_cong :premises (@p286 @p49 @p280) :args (@t177)) 164.29/164.69 (step @p288 :rule cong :premises (@p287) :args ((forall @t9 @t177))) 164.29/164.69 (step @p289 :rule aci_norm :args ((= (or @t176 (or @t104 @t4)) @t177))) 164.29/164.69 (step @p290 :rule bool-impl-elim :args (@t6 @t4)) 164.29/164.69 (step @p291 :rule refl :args (@t176)) 164.29/164.69 (step @p292 :rule nary_cong :premises (@p291 @p290) :args ((or @t176 @t7))) 164.29/164.69 (step @p293 :rule trans :premises (@p292 @p289)) 164.29/164.69 (step @p294 :rule bool-impl-elim :args (@t8 @t7)) 164.29/164.69 (step @p295 :rule trans :premises (@p294 @p293)) 164.29/164.69 (step @p296 :rule cong :premises (@p295) :args (@t10)) 164.29/164.69 (step @p297 :rule trans :premises (@p296 @p288)) 164.29/164.69 (step @p298 :rule refl :args (tptp.subsetE)) 164.29/164.69 (step @p299 :rule cong :premises (@p298 @p297) :args (@t11)) 164.29/164.69 (step @p300 :rule eq_resolve :premises (@p1 @p299)) 164.29/164.69 (step @p301 :rule cong :premises (@p300 @p275) :args (@t178)) 164.29/164.69 (step @p302 :rule cong :premises (@p301) :args ((not @t178))) 164.29/164.69 (step @p303 :rule eq-symm :args (@t64 @t30)) 164.29/164.69 (step @p304 :rule nary_cong :premises (@p11 @p303) :args (@t179)) 164.29/164.69 (step @p305 :rule nary_cong :premises (@p13 @p304) :args (@t180)) 164.29/164.69 (step @p306 :rule cong :premises (@p305) :args (@t181)) 164.29/164.69 (step @p307 :rule cong :premises (@p16 @p306) :args (@t182)) 164.29/164.69 (step @p308 :rule cong :premises (@p307) :args (@t183)) 164.29/164.69 (step @p309 :rule cong :premises (@p308 @p16) :args (@t184)) 164.29/164.69 (step @p310 :rule refl :args (@t66)) 164.29/164.69 (step @p311 :rule nary_cong :premises (@p28 @p310 @p309) :args (@t185)) 164.29/164.69 (step @p312 :rule aci_norm :args ((= @t187 @t185))) 164.29/164.69 (step @p313 :rule trans :premises (@p312 @p311)) 164.29/164.69 (step @p314 :rule cong :premises (@p313) :args (@t188)) 164.29/164.69 (step @p315 :rule quant-merge-prenex :args ((= (forall @t44 @t190) @t188))) 164.29/164.69 (step @p316 :rule alpha_equiv :args (@t191 (@list @t64) @t95)) 164.29/164.69 (step @p317 :rule nary_cong :premises (@p35 @p316) :args (@t192)) 164.29/164.69 (step @p318 :rule quant-miniscope-or :args ((= @t190 @t192))) 164.29/164.69 (step @p319 :rule trans :premises (@p318 @p317)) 164.29/164.69 (step @p320 :rule symm :premises (@p319)) 164.29/164.69 (step @p321 :rule cong :premises (@p320) :args ((forall @t44 (or @t68 @t195)))) 164.29/164.69 (step @p322 :rule trans :premises (@p321 @p315)) 164.29/164.69 (step @p323 :rule trans :premises (@p322 @p314)) 164.29/164.69 (step @p324 :rule refl :args (@t195)) 164.29/164.69 (step @p325 :rule nary_cong :premises (@p49 @p324) :args (@t196)) 164.29/164.69 (step @p326 :rule cong :premises (@p325) :args ((forall @t44 @t196))) 164.29/164.69 (step @p327 :rule trans :premises (@p326 @p323)) 164.29/164.69 (step @p328 :rule bool-impl-elim :args (@t6 @t195)) 164.29/164.69 (step @p329 :rule cong :premises (@p328) :args ((forall @t44 (=> @t6 @t195)))) 164.29/164.69 (step @p330 :rule trans :premises (@p329 @p327)) 164.29/164.69 (step @p331 :rule refl :args ((tptp.in @t197 @t5))) 164.29/164.69 (step @p332 :rule refl :args ((tptp.setunion @t110))) 164.29/164.69 (step @p333 :rule cong :premises (@p74) :args (@t193)) 164.29/164.69 (step @p334 :rule trans :premises (@p333 @p332)) 164.29/164.69 (step @p335 :rule cong :premises (@p334 @p123) :args (@t194)) 164.29/164.69 (step @p336 :rule trans :premises (@p335 @p331)) 164.29/164.69 (step @p337 :rule ho_cong :premises (@p189 @p334)) 164.29/164.69 (step @p338 :rule ho_cong :premises (@p337 @p123)) 164.29/164.69 (step @p339 :rule cong :premises (@p338 @p336) :args ((= (_ (_ tptp.in @t193) @t5) @t194))) 164.29/164.69 (step @p340 :rule symm :premises (@p339)) 164.29/164.69 (step @p341 :rule refl :args (@t198)) 164.29/164.69 (step @p342 :rule eq_resolve :premises (@p341 @p340)) 164.29/164.69 (step @p343 :rule refl :args (tptp.setunion)) 164.29/164.69 (step @p344 :rule ho_cong :premises (@p343 @p74)) 164.29/164.69 (step @p345 :rule cong :premises (@p344 @p334) :args ((= (_ tptp.setunion @t98) @t193))) 164.29/164.69 (step @p346 :rule symm :premises (@p345)) 164.29/164.69 (step @p347 :rule refl :args (@t197)) 164.29/164.69 (step @p348 :rule eq_resolve :premises (@p347 @p346)) 164.29/164.69 (step @p349 :rule ho_cong :premises (@p343 @p78)) 164.29/164.69 (step @p350 :rule trans :premises (@p349 @p348)) 164.29/164.69 (step @p351 :rule ho_cong :premises (@p189 @p350)) 164.29/164.69 (step @p352 :rule ho_cong :premises (@p351 @p123)) 164.29/164.69 (step @p353 :rule trans :premises (@p352 @p342)) 164.29/164.69 (step @p354 :rule nary_cong :premises (@p62 @p353) :args (@t199)) 164.29/164.69 (step @p355 :rule cong :premises (@p354) :args ((forall @t41 @t199))) 164.29/164.69 (step @p356 :rule bool-impl-elim :args (@t39 @t198)) 164.29/164.69 (step @p357 :rule cong :premises (@p356) :args ((forall @t41 (=> @t39 @t198)))) 164.29/164.69 (step @p358 :rule trans :premises (@p357 @p355)) 164.29/164.69 (step @p359 :rule beta-reduce :args ((= (_ @t200 @t29) @t197))) 164.29/164.69 (step @p360 :rule refl :args (@t29)) 164.29/164.69 (step @p361 :rule beta-reduce :args ((= (_ @t201 @t2) @t200))) 164.29/164.69 (step @p362 :rule refl :args (@t2)) 164.29/164.69 (step @p363 :rule beta-reduce :args ((= (_ @t202 @t31) @t201))) 164.29/164.69 (step @p364 :rule beta-reduce :args ((= @t203 @t202))) 164.29/164.69 (step @p365 :rule ho_cong :premises (@p364 @p98)) 164.29/164.69 (step @p366 :rule trans :premises (@p365 @p363)) 164.29/164.69 (step @p367 :rule ho_cong :premises (@p366 @p362)) 164.29/164.69 (step @p368 :rule trans :premises (@p367 @p361)) 164.29/164.69 (step @p369 :rule ho_cong :premises (@p368 @p360)) 164.29/164.69 (step @p370 :rule trans :premises (@p369 @p359)) 164.29/164.69 (step @p371 :rule refl :args (tptp.in)) 164.29/164.69 (step @p372 :rule ho_cong :premises (@p371 @p370)) 164.29/164.69 (step @p373 :rule ho_cong :premises (@p372 @p16)) 164.29/164.69 (step @p374 :rule cong :premises (@p107 @p373) :args (@t204)) 164.29/164.69 (step @p375 :rule cong :premises (@p374) :args (@t205)) 164.29/164.69 (step @p376 :rule trans :premises (@p375 @p358)) 164.29/164.69 (step @p377 :rule cong :premises (@p111 @p376) :args (@t206)) 164.29/164.69 (step @p378 :rule cong :premises (@p377) :args (@t207)) 164.29/164.69 (step @p379 :rule trans :premises (@p378 @p330)) 164.29/164.69 (step @p380 :rule cong :premises (@p115 @p379) :args (@t208)) 164.29/164.69 (step @p381 :rule cong :premises (@p225 @p380) :args (@t209)) 164.29/164.69 (step @p382 :rule cong :premises (@p272 @p381) :args (@t210)) 164.29/164.69 (step @p383 :rule cong :premises (@p298 @p382) :args (@t211)) 164.29/164.69 (step @p384 :rule cong :premises (@p383) :args ((not @t211))) 164.29/164.69 (step @p385 :rule refl :args (tptp.setunion)) 164.29/164.69 (step @p386 :rule ho_cong :premises (@p385 @p103)) 164.29/164.69 (step @p387 :rule cong :premises (@p386) :args (@t63)) 164.29/164.69 (step @p388 :rule trans :premises (@p8 @p387)) 164.29/164.69 (step @p389 :rule ho_cong :premises (@p388 @p16)) 164.29/164.69 (step @p390 :rule ho_cong :premises (@p389 @p98)) 164.29/164.69 (step @p391 :rule ho_cong :premises (@p390 @p362)) 164.29/164.69 (step @p392 :rule ho_cong :premises (@p391 @p360)) 164.29/164.69 (step @p393 :rule ho_cong :premises (@p371 @p392)) 164.29/164.69 (step @p394 :rule ho_cong :premises (@p393 @p16)) 164.29/164.69 (step @p395 :rule cong :premises (@p107 @p394) :args (@t47)) 164.29/164.69 (step @p396 :rule cong :premises (@p395) :args (@t48)) 164.29/164.69 (step @p397 :rule cong :premises (@p111 @p396) :args (@t49)) 164.29/164.69 (step @p398 :rule cong :premises (@p397) :args (@t50)) 164.29/164.69 (step @p399 :rule cong :premises (@p115 @p398) :args (@t51)) 164.29/164.69 (step @p400 :rule cong :premises (@p225 @p399) :args (@t52)) 164.29/164.69 (step @p401 :rule cong :premises (@p272 @p400) :args (@t53)) 164.29/164.69 (step @p402 :rule cong :premises (@p298 @p401) :args (@t54)) 164.29/164.69 (step @p403 :rule cong :premises (@p402) :args (@t55)) 164.29/164.69 (step @p404 :rule trans :premises (@p403 @p384)) 164.29/164.69 (step @p405 :rule trans :premises (@p404 @p302)) 164.29/164.69 (step @p406 :rule eq_resolve :premises (@p5 @p405)) 164.29/164.69 (step @p407 :rule not_implies_elim2 :premises (@p406)) 164.29/164.69 (step @p408 :rule not_implies_elim2 :premises (@p407)) 164.29/164.69 (step @p409 :rule not_implies_elim2 :premises (@p408)) 164.29/164.69 (step @p410 :rule not_implies_elim1 :premises (@p409)) 164.29/164.69 (step @p411 :rule aci_norm :args ((= (or false @t213) @t213))) 164.29/164.69 (step @p412 :rule aci_norm :args ((= (and true @t213) @t213))) 164.29/164.69 (step @p413 :rule refl :args (@t213)) 164.29/164.69 (step @p414 :rule evaluate :args (@t214)) 164.29/164.69 (step @p415 :rule nary_cong :premises (@p414 @p413) :args (@t215)) 164.29/164.69 (step @p416 :rule trans :premises (@p415 @p412)) 164.29/164.69 (step @p417 :rule absorb :args ((= @t218 false))) 164.29/164.69 (step @p418 :rule nary_cong :premises (@p417 @p416) :args (@t219)) 164.29/164.69 (step @p419 :rule trans :premises (@p418 @p411)) 164.29/164.69 (step @p420 :rule cong :premises (@p419) :args (@t220)) 164.29/164.69 (step @p421 :rule refl :args (@t221)) 164.29/164.69 (step @p422 :rule cong :premises (@p421 @p420) :args (@t222)) 164.29/164.69 (step @p423 :rule cong :premises (@p18 @p422) :args (@t223)) 164.29/164.69 (step @p424 :rule cong :premises (@p423) :args (@t224)) 164.29/164.69 (step @p425 :rule cong :premises (@p21 @p422) :args (@t225)) 164.29/164.69 (step @p426 :rule cong :premises (@p425) :args (@t226)) 164.29/164.69 (step @p427 :rule nary_cong :premises (@p426 @p424) :args (@t227)) 164.29/164.69 (step @p428 :rule cong :premises (@p427) :args (@t228)) 164.29/164.69 (step @p429 :rule cong :premises (@p428) :args (@t229)) 164.29/164.69 (step @p430 :rule refl :args (@t231)) 164.29/164.69 (step @p431 :rule refl :args (@t233)) 164.29/164.69 (step @p432 :rule nary_cong :premises (@p431 @p430 @p429) :args (@t234)) 164.29/164.69 (step @p433 :rule refl :args (@t236)) 164.29/164.69 (step @p434 :rule cong :premises (@p433 @p432) :args ((=> @t236 @t234))) 164.29/164.69 (assume-push @p890 @t236) 164.29/164.69 (step @p436 :rule instantiate :premises (@p410) :args ((@list @t221 false @t216 @t212))) 164.29/164.69 (step-pop @p890 :rule scope :premises (@p436)) 164.29/164.69 (step @p437 :rule process_scope :premises (@p890) :args (@t234)) 164.29/164.69 (step @p439 :rule eq_resolve :premises (@p437 @p434)) 164.29/164.69 (step @p440 :rule implies_elim :premises (@p439)) 164.29/164.69 (step @p441 :rule chain_resolution :premises (@p440 @p410) :args (@t237 @t238)) 164.29/164.69 (step @p442 :rule not_implies_elim2 :premises (@p409)) 164.29/164.69 (step @p443 :rule refl :args (@t248)) 164.29/164.69 (step @p444 :rule bool-double-not-elim :args (@t70)) 164.29/164.69 (step @p445 :rule nary_cong :premises (@p444 @p443) :args ((or (not @t249) @t248))) 164.29/164.69 (step @p446 :rule eq-refl :args (@t243)) 164.29/164.69 (step @p447 :rule skolem_intro :args (@t244)) 164.29/164.69 (step @p448 :rule refl :args (@t243)) 164.29/164.69 (step @p449 :rule cong :premises (@p448 @p447) :args ((= @t243 @t244))) 164.29/164.69 (step @p450 :rule trans :premises (@p449 @p446)) 164.29/164.69 (step @p451 :rule true_elim :premises (@p450)) 164.29/164.69 (step @p452 :rule cong :premises (@p421 @p451) :args (@t250)) 164.29/164.69 (step @p453 :rule cong :premises (@p452) :args (@t251)) 164.29/164.69 (step @p454 :rule cong :premises (@p453 @p421) :args (@t252)) 164.29/164.69 (step @p455 :rule nary_cong :premises (@p431 @p430 @p454) :args (@t253)) 164.29/164.69 (step @p456 :rule cong :premises (@p455) :args (@t254)) 164.29/164.69 (step @p457 :rule refl :args (@t249)) 164.29/164.69 (step @p458 :rule cong :premises (@p457 @p456) :args ((=> @t249 @t254))) 164.29/164.69 (step @p459 :rule refl :args (@t241)) 164.29/164.69 (step @p460 :rule eq-symm :args (@t216 @t30)) 164.29/164.69 (step @p461 :rule refl :args (@t239)) 164.29/164.69 (step @p462 :rule nary_cong :premises (@p461 @p460) :args (@t255)) 164.29/164.69 (step @p463 :rule nary_cong :premises (@p462 @p459) :args (@t256)) 164.29/164.69 (step @p464 :rule cong :premises (@p463) :args (@t257)) 164.29/164.69 (step @p465 :rule cong :premises (@p421 @p464) :args (@t258)) 164.29/164.69 (step @p466 :rule cong :premises (@p465) :args (@t259)) 164.29/164.69 (step @p467 :rule cong :premises (@p466 @p421) :args (@t260)) 164.29/164.69 (step @p468 :rule nary_cong :premises (@p431 @p430 @p467) :args (@t261)) 164.29/164.69 (step @p469 :rule cong :premises (@p468) :args (@t262)) 164.29/164.69 (step @p470 :rule cong :premises (@p457 @p469) :args ((=> @t249 @t262))) 164.29/164.69 (step @p471 :rule trans :premises (@p470 @p458)) 164.29/164.69 (assume-push @p892 @t249) 164.29/164.69 (step @p473 :rule skolemize :premises (@p442)) 164.29/164.69 (step-pop @p892 :rule scope :premises (@p473)) 164.29/164.69 (step @p474 :rule process_scope :premises (@p892) :args (@t262)) 164.29/164.69 (step @p476 :rule eq_resolve :premises (@p474 @p471)) 164.29/164.69 (step @p477 :rule implies_elim :premises (@p476)) 164.29/164.69 (step @p478 :rule eq_resolve :premises (@p477 @p445)) 164.29/164.69 (step @p479 :rule chain_resolution :premises (@p478 @p442) :args (@t263 (@list @t70))) 164.29/164.69 (step @p480 :rule bool-double-not-elim :args (@t230)) 164.29/164.69 (step @p481 :rule refl :args (@t247)) 164.29/164.69 (step @p482 :rule nary_cong :premises (@p481 @p480) :args ((or @t247 (not @t231)))) 164.29/164.69 (step @p483 :rule cnf_or_neg :args (@t247 1)) 164.29/164.69 (step @p484 :rule eq_resolve :premises (@p483 @p482)) 164.29/164.69 (step @p485 :rule reordering :premises (@p484) :args ((or @t230 @t247))) 164.29/164.69 (step @p486 :rule chain_resolution :premises (@p485 @p479) :args (@t263 @t264)) 164.29/164.69 (step @p487 :rule bool-double-not-elim :args (@t232)) 164.29/164.69 (step @p488 :rule nary_cong :premises (@p481 @p487) :args ((or @t247 (not @t233)))) 164.29/164.69 (step @p489 :rule cnf_or_neg :args (@t247 0)) 164.29/164.69 (step @p490 :rule eq_resolve :premises (@p489 @p488)) 164.29/164.69 (step @p491 :rule reordering :premises (@p490) :args ((or @t232 @t247))) 164.29/164.69 (step @p492 :rule chain_resolution :premises (@p491 @p479) :args (@t263 @t264)) 164.29/164.69 (step @p493 :rule cnf_or_pos :args (@t269)) 164.29/164.69 (step @p494 :rule reordering :premises (@p493) :args ((or @t233 @t231 @t268 (not @t269)))) 164.29/164.69 (step @p495 :rule chain_resolution :premises (@p494 @p492 @p486 @p441) :args ((@list false false false) (@list @t232 @t230 @t269))) 164.29/164.69 (step @p496 :rule refl :args (@t279)) 164.29/164.69 (step @p497 :rule bool-double-not-elim :args (@t267)) 164.29/164.69 (step @p498 :rule nary_cong :premises (@p497 @p496) :args ((or (not @t268) @t279))) 164.29/164.69 (step @p499 :rule eq-symm :args (@t271 @t273)) 164.29/164.69 (step @p500 :rule refl :args (@t273)) 164.29/164.69 (step @p501 :rule eq-refl :args (@t265)) 164.29/164.69 (step @p502 :rule skolem_intro :args (@t270)) 164.29/164.69 (step @p503 :rule refl :args (@t265)) 164.29/164.69 (step @p504 :rule cong :premises (@p503 @p502) :args ((= @t265 @t270))) 164.29/164.69 (step @p505 :rule trans :premises (@p504 @p501)) 164.29/164.69 (step @p506 :rule true_elim :premises (@p505)) 164.29/164.69 (step @p507 :rule cong :premises (@p421 @p506) :args (@t266)) 164.29/164.69 (step @p508 :rule cong :premises (@p507 @p500) :args (@t280)) 164.29/164.69 (step @p509 :rule trans :premises (@p508 @p499)) 164.29/164.69 (step @p510 :rule cong :premises (@p509) :args (@t281)) 164.29/164.69 (step @p511 :rule refl :args (@t272)) 164.29/164.69 (step @p512 :rule cong :premises (@p511 @p507) :args (@t282)) 164.29/164.69 (step @p513 :rule cong :premises (@p512) :args (@t283)) 164.29/164.69 (step @p514 :rule nary_cong :premises (@p513 @p510) :args (@t284)) 164.29/164.69 (step @p515 :rule cong :premises (@p514) :args (@t285)) 164.29/164.69 (step @p516 :rule refl :args (@t268)) 164.29/164.69 (step @p517 :rule cong :premises (@p516 @p515) :args ((=> @t268 @t285))) 164.29/164.69 (step @p518 :rule eq-symm :args (@t273 @t266)) 164.29/164.69 (step @p519 :rule cong :premises (@p518) :args (@t286)) 164.29/164.69 (step @p520 :rule refl :args (@t283)) 164.29/164.69 (step @p521 :rule nary_cong :premises (@p520 @p519) :args (@t287)) 164.29/164.69 (step @p522 :rule cong :premises (@p521) :args (@t288)) 164.29/164.69 (step @p523 :rule cong :premises (@p516 @p522) :args ((=> @t268 @t288))) 164.29/164.69 (step @p524 :rule trans :premises (@p523 @p517)) 164.29/164.69 (assume-push @p894 @t268) 164.29/164.69 (step @p526 :rule skolemize :premises (@p495)) 164.29/164.69 (step-pop @p894 :rule scope :premises (@p526)) 164.29/164.69 (step @p527 :rule process_scope :premises (@p894) :args (@t288)) 164.29/164.69 (step @p529 :rule eq_resolve :premises (@p527 @p524)) 164.29/164.69 (step @p530 :rule implies_elim :premises (@p529)) 164.29/164.69 (step @p531 :rule eq_resolve :premises (@p530 @p498)) 164.29/164.69 (step @p532 :rule chain_resolution :premises (@p531 @p495) :args (@t263 (@list @t267))) 164.29/164.69 (step @p533 :rule bool-double-not-elim :args (@t274)) 164.29/164.69 (step @p534 :rule refl :args (@t278)) 164.29/164.69 (step @p535 :rule nary_cong :premises (@p534 @p533) :args ((or @t278 (not @t275)))) 164.29/164.69 (step @p536 :rule cnf_or_neg :args (@t278 1)) 164.29/164.69 (step @p537 :rule eq_resolve :premises (@p536 @p535)) 164.29/164.69 (step @p538 :rule reordering :premises (@p537) :args ((or @t274 @t278))) 164.29/164.69 (step @p539 :rule chain_resolution :premises (@p538 @p532) :args (@t263 @t289)) 164.29/164.69 (step @p540 :rule not_implies_elim1 :premises (@p408)) 164.29/164.69 (step @p541 :rule instantiate :premises (@p540) :args ((@list @t272))) 164.29/164.69 (step @p542 :rule bool-double-not-elim :args (@t276)) 164.29/164.69 (step @p543 :rule nary_cong :premises (@p534 @p542) :args ((or @t278 (not @t277)))) 164.29/164.69 (step @p544 :rule cnf_or_neg :args (@t278 0)) 164.29/164.69 (step @p545 :rule eq_resolve :premises (@p544 @p543)) 164.29/164.69 (step @p546 :rule reordering :premises (@p545) :args ((or @t276 @t278))) 164.29/164.69 (step @p547 :rule chain_resolution :premises (@p546 @p532) :args (@t263 @t289)) 164.29/164.69 (step @p548 :rule true_intro :premises (@p547)) 164.29/164.69 (step @p549 :rule cong :premises (@p511 @p539) :args (@t290)) 164.29/164.69 (step @p550 :rule trans :premises (@p549 @p548)) 164.29/164.69 (step @p551 :rule true_elim :premises (@p550)) 164.29/164.69 (step @p552 :rule cnf_or_pos :args (@t294)) 164.29/164.69 (step @p553 :rule reordering :premises (@p552) :args ((or @t293 @t291 (not @t294)))) 164.29/164.69 (step @p554 :rule chain_resolution :premises (@p553 @p551 @p541) :args (@t295 (@list @t290 @t294))) 164.29/164.69 (assume-push @p896 @t274) 164.29/164.69 (assume-push @p897 @t293) 164.29/164.69 (assume-push @p898 @t296) 164.29/164.69 (assume-push @p899 @t293) 164.29/164.69 (assume-push @p900 @t274) 164.29/164.69 (assume-push @p901 @t296) 164.29/164.69 (step @p561 :rule true_intro :premises (@p554)) 164.29/164.69 (step @p562 :rule symm :premises (@p539)) 164.29/164.69 (step @p563 :rule cong :premises (@p421 @p898) :args (@t245)) 164.29/164.69 (step @p564 :rule trans :premises (@p563 @p562)) 164.29/164.69 (step @p565 :rule refl :args (@t292)) 164.29/164.69 (step @p566 :rule cong :premises (@p565 @p564) :args (@t297)) 164.29/164.69 (step @p567 :rule trans :premises (@p566 @p561)) 164.29/164.69 (step @p568 :rule true_elim :premises (@p567)) 164.29/164.69 (step-pop @p901 :rule scope :premises (@p568)) 164.29/164.69 (step-pop @p902 :rule scope :premises (@p901)) 164.29/164.69 (step-pop @p903 :rule scope :premises (@p902)) 164.29/164.69 (step @p569 :rule process_scope :premises (@p903) :args (@t297)) 164.29/164.69 (step @p573 :rule and_intro :premises (@p554 @p539 @p898)) 164.29/164.69 (step @p574 :rule modus_ponens :premises (@p573 @p569)) 164.29/164.69 (step-pop @p904 :rule scope :premises (@p574)) 164.29/164.69 (step-pop @p905 :rule scope :premises (@p904)) 164.29/164.69 (step-pop @p906 :rule scope :premises (@p905)) 164.29/164.69 (step @p575 :rule process_scope :premises (@p906) :args (@t297)) 164.29/164.69 (step @p579 :rule implies_elim :premises (@p575)) 164.29/164.69 (step @p580 :rule cnf_and_neg :args (@t298)) 164.29/164.69 (step @p581 :rule resolution :premises (@p580 @p579) :args (true @t298)) 164.29/164.69 (step @p582 :rule cnf_or_neg :args (@t247 2)) 164.29/164.69 (step @p583 :rule chain_resolution :premises (@p582 @p479) :args (@t263 @t264)) 164.29/164.69 (step @p584 :rule refl :args (@t300)) 164.29/164.69 (step @p585 :rule refl :args (@t301)) 164.29/164.69 (step @p586 :rule refl :args (@t275)) 164.29/164.69 (step @p587 :rule bool-double-not-elim :args (@t246)) 164.29/164.69 (step @p588 :rule nary_cong :premises (@p587 @p586 @p585 @p584) :args ((or @t303 @t275 @t301 @t300))) 164.29/164.69 (assume-push @p908 @t302) 164.29/164.69 (assume-push @p909 @t274) 164.29/164.69 (assume-push @p910 @t296) 164.29/164.69 (assume-push @p911 @t302) 164.29/164.69 (assume-push @p912 @t296) 164.29/164.69 (assume-push @p913 @t274) 164.29/164.69 (step @p595 :rule false_intro :premises (@p583)) 164.29/164.69 (step @p596 :rule symm :premises (@p910)) 164.29/164.69 (step @p597 :rule cong :premises (@p421 @p596) :args (@t271)) 164.29/164.69 (step @p598 :rule trans :premises (@p539 @p597)) 164.29/164.69 (step @p599 :rule cong :premises (@p598) :args (@t292)) 164.29/164.69 (step @p600 :rule cong :premises (@p599 @p421) :args (@t299)) 164.29/164.69 (step @p601 :rule trans :premises (@p600 @p595)) 164.29/164.69 (step @p602 :rule false_elim :premises (@p601)) 164.29/164.69 (step-pop @p913 :rule scope :premises (@p602)) 164.29/164.69 (step-pop @p914 :rule scope :premises (@p913)) 164.29/164.69 (step-pop @p915 :rule scope :premises (@p914)) 164.29/164.69 (step @p603 :rule process_scope :premises (@p915) :args (@t300)) 164.29/164.69 (step @p607 :rule and_intro :premises (@p583 @p910 @p539)) 164.29/164.69 (step @p608 :rule modus_ponens :premises (@p607 @p603)) 164.29/164.69 (step-pop @p916 :rule scope :premises (@p608)) 164.29/164.69 (step-pop @p917 :rule scope :premises (@p916)) 164.29/164.69 (step-pop @p918 :rule scope :premises (@p917)) 164.29/164.69 (step @p609 :rule process_scope :premises (@p918) :args (@t300)) 164.29/164.69 (step @p613 :rule implies_elim :premises (@p609)) 164.29/164.69 (step @p614 :rule cnf_and_neg :args (@t304)) 164.29/164.69 (step @p615 :rule resolution :premises (@p614 @p613) :args (true @t304)) 164.29/164.69 (step @p616 :rule eq_resolve :premises (@p615 @p588)) 164.29/164.69 (step @p617 :rule not_implies_elim1 :premises (@p407)) 164.29/164.69 (step @p618 :rule instantiate :premises (@p617) :args ((@list @t221 @t244))) 164.29/164.69 (step @p619 :rule not_implies_elim1 :premises (@p406)) 164.29/164.69 (step @p620 :rule instantiate :premises (@p619) :args ((@list @t245 @t221 @t292))) 164.29/164.69 (step @p621 :rule cnf_or_pos :args (@t308)) 164.29/164.69 (step @p622 :rule reordering :premises (@p621) :args ((or @t307 @t305 @t299 (not @t308)))) 164.29/164.69 (step @p623 :rule chain_resolution :premises (@p622 @p620 @p618 @p616 @p539 @p583 @p581 @p554 @p539) :args (@t309 (@list @t308 @t306 @t299 @t274 @t246 @t297 @t293 @t274))) 164.29/164.69 (step @p624 :rule factoring :premises (@p623)) 164.29/164.69 (step @p625 :rule eq-symm :args (@t314 @t311)) 164.29/164.69 (step @p626 :rule eq-refl :args (@t311)) 164.29/164.69 (step @p627 :rule refl :args (@t311)) 164.29/164.69 (step @p628 :rule eq-symm :args (@t310 @t212)) 164.29/164.69 (step @p629 :rule beta-reduce :args ((= @t316 @t315))) 164.29/164.69 (step @p630 :rule trans :premises (@p629 @p628)) 164.29/164.69 (step @p631 :rule cong :premises (@p630 @p627) :args ((= @t316 @t311))) 164.29/164.69 (step @p632 :rule trans :premises (@p631 @p626)) 164.29/164.69 (step @p633 :rule refl :args (@t310)) 164.29/164.69 (step @p634 :rule ho_cong :premises (@p502 @p633)) 164.29/164.69 (step @p635 :rule cong :premises (@p634 @p627) :args ((= @t317 @t311))) 164.29/164.69 (step @p636 :rule trans :premises (@p635 @p632)) 164.29/164.69 (step @p637 :rule true_elim :premises (@p636)) 164.29/164.69 (step @p638 :rule eq-refl :args (@t314)) 164.29/164.69 (step @p639 :rule refl :args (@t314)) 164.29/164.69 (step @p640 :rule refl :args (@t240)) 164.29/164.69 (step @p641 :rule nary_cong :premises (@p640 @p628) :args (@t318)) 164.29/164.69 (step @p642 :rule eq-symm :args (@t310 @t216)) 164.29/164.69 (step @p643 :rule nary_cong :premises (@p461 @p642) :args (@t319)) 164.29/164.69 (step @p644 :rule nary_cong :premises (@p643 @p641) :args (@t320)) 164.29/164.69 (step @p645 :rule beta-reduce :args ((= @t321 @t320))) 164.29/164.69 (step @p646 :rule trans :premises (@p645 @p644)) 164.29/164.69 (step @p647 :rule cong :premises (@p646 @p639) :args ((= @t321 @t314))) 164.29/164.69 (step @p648 :rule trans :premises (@p647 @p638)) 164.29/164.69 (step @p649 :rule ho_cong :premises (@p447 @p633)) 164.29/164.69 (step @p650 :rule cong :premises (@p649 @p639) :args ((= @t322 @t314))) 164.29/164.69 (step @p651 :rule trans :premises (@p650 @p648)) 164.29/164.69 (step @p652 :rule true_elim :premises (@p651)) 164.29/164.69 (step @p653 :rule cong :premises (@p652 @p637) :args (@t323)) 164.29/164.69 (step @p654 :rule trans :premises (@p653 @p625)) 164.29/164.69 (step @p655 :rule cong :premises (@p654) :args (@t324)) 164.29/164.69 (step @p656 :rule refl :args (@t296)) 164.29/164.69 (step @p657 :rule nary_cong :premises (@p656 @p655) :args (@t325)) 164.29/164.69 ; WARNING: add trust step for TRUST 164.29/164.69 ; trust TRUST THEORY_LEMMA 164.29/164.69 (step @p658 :rule trust :premises () :args (@t325)) 164.29/164.69 (step @p659 :rule eq_resolve :premises (@p658 @p657)) 164.29/164.69 (step @p660 :rule chain_resolution :premises (@p659 @p624) :args (@t263 (@list @t296))) 164.29/164.69 (step @p661 :rule refl :args (@t326)) 164.29/164.69 (step @p662 :rule bool-double-not-elim :args (@t239)) 164.29/164.69 (step @p663 :rule refl :args (@t312)) 164.29/164.69 (step @p664 :rule nary_cong :premises (@p663 @p662 @p661) :args ((or @t312 (not @t240) @t326))) 164.29/164.69 (step @p665 :rule cnf_and_neg :args (@t312)) 164.29/164.69 (step @p666 :rule eq_resolve :premises (@p665 @p664)) 164.29/164.69 (step @p667 :rule reordering :premises (@p666) :args ((or @t239 @t312 @t326))) 164.29/164.69 (step @p668 :rule cnf_equiv_neg2 :args (@t327)) 164.29/164.69 (step @p669 :rule cnf_or_neg :args (@t314 1)) 164.29/164.69 (step @p670 :rule chain_resolution :premises (@p669 @p668 @p667) :args ((@list true false) (@list @t314 @t312))) 164.29/164.69 (step @p671 :rule factoring :premises (@p670)) 164.29/164.69 (step @p672 :rule reordering :premises (@p671) :args ((or @t239 @t327 @t326))) 164.29/164.69 (step @p673 :rule cnf_and_pos :args (@t313 0)) 164.29/164.69 (step @p674 :rule reordering :premises (@p673) :args ((or @t239 (not @t313)))) 164.29/164.69 (step @p675 :rule cnf_and_pos :args (@t312 1)) 164.29/164.69 (step @p676 :rule reordering :premises (@p675) :args ((or @t311 (not @t312)))) 164.29/164.69 (step @p677 :rule cnf_equiv_neg1 :args (@t327)) 164.29/164.69 (step @p678 :rule reordering :premises (@p677) :args ((or @t311 @t314 @t327))) 164.29/164.69 (step @p679 :rule cnf_or_pos :args (@t314)) 164.29/164.69 (step @p680 :rule reordering :premises (@p679) :args ((or @t313 @t312 (not @t314)))) 164.29/164.69 (step @p681 :rule chain_resolution :premises (@p680 @p678 @p676 @p674) :args (@t328 (@list @t314 @t312 @t313))) 164.29/164.69 (step @p682 :rule factoring :premises (@p681)) 164.29/164.69 (step @p683 :rule chain_resolution :premises (@p682 @p672) :args (@t263 (@list @t311))) 164.29/164.69 (step @p684 :rule factoring :premises (@p683)) 164.29/164.69 (step @p685 :rule reordering :premises (@p684) :args ((or @t239 @t327))) 164.29/164.69 (step @p686 :rule chain_resolution :premises (@p685 @p660) :args (@t263 (@list @t327))) 164.29/164.69 (step @p687 :rule cnf_and_pos :args (@t330 0)) 164.29/164.69 (step @p688 :rule reordering :premises (@p687) :args ((or @t240 (not @t330)))) 164.29/164.69 (step @p689 :rule chain_resolution :premises (@p688 @p686) :args (@t237 (@list @t239))) 164.29/164.69 (step @p690 :rule aci_norm :args ((= (or false @t242) @t242))) 164.29/164.69 (step @p691 :rule aci_norm :args ((= (and true @t242) @t242))) 164.29/164.69 (step @p692 :rule refl :args (@t242)) 164.29/164.69 (step @p693 :rule nary_cong :premises (@p414 @p692) :args (@t331)) 164.29/164.69 (step @p694 :rule trans :premises (@p693 @p691)) 164.29/164.69 (step @p695 :rule nary_cong :premises (@p417 @p694) :args (@t332)) 164.29/164.69 (step @p696 :rule trans :premises (@p695 @p690)) 164.29/164.69 (step @p697 :rule cong :premises (@p696) :args (@t333)) 164.29/164.69 (step @p698 :rule cong :premises (@p421 @p697) :args (@t334)) 164.29/164.69 (step @p699 :rule cong :premises (@p18 @p698) :args (@t335)) 164.29/164.69 (step @p700 :rule cong :premises (@p699) :args (@t336)) 164.29/164.69 (step @p701 :rule cong :premises (@p21 @p698) :args (@t337)) 164.29/164.69 (step @p702 :rule cong :premises (@p701) :args (@t338)) 164.29/164.69 (step @p703 :rule nary_cong :premises (@p702 @p700) :args (@t339)) 164.29/164.69 (step @p704 :rule cong :premises (@p703) :args (@t340)) 164.29/164.69 (step @p705 :rule cong :premises (@p704) :args (@t341)) 164.29/164.69 (step @p706 :rule nary_cong :premises (@p431 @p431 @p705) :args (@t342)) 164.29/164.69 (step @p707 :rule cong :premises (@p433 @p706) :args ((=> @t236 @t342))) 164.29/164.69 (assume-push @p920 @t236) 164.29/164.69 (step @p709 :rule instantiate :premises (@p410) :args ((@list @t221 false @t216 @t216))) 164.29/164.69 (step-pop @p920 :rule scope :premises (@p709)) 164.29/164.69 (step @p710 :rule process_scope :premises (@p920) :args (@t342)) 164.29/164.69 (step @p712 :rule eq_resolve :premises (@p710 @p707)) 164.29/164.69 (step @p713 :rule implies_elim :premises (@p712)) 164.29/164.69 (step @p714 :rule chain_resolution :premises (@p713 @p410) :args (@t237 @t238)) 164.29/164.69 (step @p715 :rule cnf_or_pos :args (@t347)) 164.29/164.69 (step @p716 :rule factoring :premises (@p715)) 164.29/164.69 (step @p717 :rule reordering :premises (@p716) :args ((or @t233 @t346 (not @t347)))) 164.29/164.69 (step @p718 :rule chain_resolution :premises (@p717 @p492 @p714) :args (@t295 (@list @t232 @t347))) 164.29/164.69 (step @p719 :rule refl :args (@t357)) 164.29/164.69 (step @p720 :rule bool-double-not-elim :args (@t345)) 164.29/164.69 (step @p721 :rule nary_cong :premises (@p720 @p719) :args ((or (not @t346) @t357))) 164.29/164.69 (step @p722 :rule eq-symm :args (@t349 @t351)) 164.29/164.69 (step @p723 :rule refl :args (@t351)) 164.29/164.69 (step @p724 :rule eq-refl :args (@t343)) 164.29/164.69 (step @p725 :rule skolem_intro :args (@t348)) 164.29/164.69 (step @p726 :rule refl :args (@t343)) 164.29/164.69 (step @p727 :rule cong :premises (@p726 @p725) :args ((= @t343 @t348))) 164.29/164.69 (step @p728 :rule trans :premises (@p727 @p724)) 164.29/164.69 (step @p729 :rule true_elim :premises (@p728)) 164.29/164.69 (step @p730 :rule cong :premises (@p421 @p729) :args (@t344)) 164.29/164.69 (step @p731 :rule cong :premises (@p730 @p723) :args (@t358)) 164.29/164.69 (step @p732 :rule trans :premises (@p731 @p722)) 164.29/164.69 (step @p733 :rule cong :premises (@p732) :args (@t359)) 164.29/164.69 (step @p734 :rule refl :args (@t350)) 164.29/164.69 (step @p735 :rule cong :premises (@p734 @p730) :args (@t360)) 164.29/164.69 (step @p736 :rule cong :premises (@p735) :args (@t361)) 164.29/164.69 (step @p737 :rule nary_cong :premises (@p736 @p733) :args (@t362)) 164.29/164.69 (step @p738 :rule cong :premises (@p737) :args (@t363)) 164.29/164.69 (step @p739 :rule refl :args (@t346)) 164.29/164.69 (step @p740 :rule cong :premises (@p739 @p738) :args ((=> @t346 @t363))) 164.29/164.69 (step @p741 :rule eq-symm :args (@t351 @t344)) 164.29/164.69 (step @p742 :rule cong :premises (@p741) :args (@t364)) 164.29/164.69 (step @p743 :rule refl :args (@t361)) 164.29/164.69 (step @p744 :rule nary_cong :premises (@p743 @p742) :args (@t365)) 164.29/164.69 (step @p745 :rule cong :premises (@p744) :args (@t366)) 164.29/164.69 (step @p746 :rule cong :premises (@p739 @p745) :args ((=> @t346 @t366))) 164.29/164.69 (step @p747 :rule trans :premises (@p746 @p740)) 164.29/164.69 (assume-push @p922 @t346) 164.29/164.69 (step @p749 :rule skolemize :premises (@p718)) 164.29/164.69 (step-pop @p922 :rule scope :premises (@p749)) 164.29/164.69 (step @p750 :rule process_scope :premises (@p922) :args (@t366)) 164.29/164.69 (step @p752 :rule eq_resolve :premises (@p750 @p747)) 164.29/164.69 (step @p753 :rule implies_elim :premises (@p752)) 164.29/164.69 (step @p754 :rule eq_resolve :premises (@p753 @p721)) 164.29/164.69 (step @p755 :rule chain_resolution :premises (@p754 @p718) :args (@t263 (@list @t345))) 164.29/164.69 (step @p756 :rule bool-double-not-elim :args (@t352)) 164.29/164.69 (step @p757 :rule refl :args (@t356)) 164.29/164.69 (step @p758 :rule nary_cong :premises (@p757 @p756) :args ((or @t356 (not @t353)))) 164.29/164.69 (step @p759 :rule cnf_or_neg :args (@t356 1)) 164.29/164.69 (step @p760 :rule eq_resolve :premises (@p759 @p758)) 164.29/164.69 (step @p761 :rule reordering :premises (@p760) :args ((or @t352 @t356))) 164.29/164.69 (step @p762 :rule chain_resolution :premises (@p761 @p755) :args (@t263 @t367)) 164.29/164.69 (step @p763 :rule instantiate :premises (@p540) :args ((@list @t350))) 164.29/164.69 (step @p764 :rule bool-double-not-elim :args (@t354)) 164.29/164.69 (step @p765 :rule nary_cong :premises (@p757 @p764) :args ((or @t356 (not @t355)))) 164.29/164.69 (step @p766 :rule cnf_or_neg :args (@t356 0)) 164.29/164.69 (step @p767 :rule eq_resolve :premises (@p766 @p765)) 164.29/164.69 (step @p768 :rule reordering :premises (@p767) :args ((or @t354 @t356))) 164.29/164.69 (step @p769 :rule chain_resolution :premises (@p768 @p755) :args (@t263 @t367)) 164.29/164.69 (step @p770 :rule true_intro :premises (@p769)) 164.29/164.69 (step @p771 :rule cong :premises (@p734 @p762) :args (@t368)) 164.29/164.69 (step @p772 :rule trans :premises (@p771 @p770)) 164.29/164.69 (step @p773 :rule true_elim :premises (@p772)) 164.29/164.69 (step @p774 :rule cnf_or_pos :args (@t372)) 164.29/164.69 (step @p775 :rule reordering :premises (@p774) :args ((or @t371 @t369 (not @t372)))) 164.29/164.69 (step @p776 :rule chain_resolution :premises (@p775 @p773 @p763) :args (@t295 (@list @t368 @t372))) 164.29/164.69 (assume-push @p924 @t352) 164.29/164.69 (assume-push @p925 @t371) 164.29/164.69 (assume-push @p926 @t373) 164.29/164.69 (assume-push @p927 @t371) 164.29/164.69 (assume-push @p928 @t352) 164.29/164.69 (assume-push @p929 @t373) 164.29/164.69 (step @p783 :rule true_intro :premises (@p776)) 164.29/164.69 (step @p784 :rule symm :premises (@p762)) 164.29/164.69 (step @p785 :rule cong :premises (@p421 @p926) :args (@t245)) 164.29/164.69 (step @p786 :rule trans :premises (@p785 @p784)) 164.29/164.69 (step @p787 :rule refl :args (@t370)) 164.29/164.69 (step @p788 :rule cong :premises (@p787 @p786) :args (@t374)) 164.29/164.69 (step @p789 :rule trans :premises (@p788 @p783)) 164.29/164.69 (step @p790 :rule true_elim :premises (@p789)) 164.29/164.69 (step-pop @p929 :rule scope :premises (@p790)) 164.29/164.69 (step-pop @p930 :rule scope :premises (@p929)) 164.29/164.69 (step-pop @p931 :rule scope :premises (@p930)) 164.29/164.69 (step @p791 :rule process_scope :premises (@p931) :args (@t374)) 164.29/164.69 (step @p795 :rule and_intro :premises (@p776 @p762 @p926)) 164.29/164.69 (step @p796 :rule modus_ponens :premises (@p795 @p791)) 164.29/164.69 (step-pop @p932 :rule scope :premises (@p796)) 164.29/164.69 (step-pop @p933 :rule scope :premises (@p932)) 164.29/164.69 (step-pop @p934 :rule scope :premises (@p933)) 164.29/164.69 (step @p797 :rule process_scope :premises (@p934) :args (@t374)) 164.29/164.69 (step @p801 :rule implies_elim :premises (@p797)) 164.29/164.69 (step @p802 :rule cnf_and_neg :args (@t375)) 164.29/164.69 (step @p803 :rule resolution :premises (@p802 @p801) :args (true @t375)) 164.29/164.69 (step @p804 :rule refl :args (@t377)) 164.29/164.69 (step @p805 :rule refl :args (@t378)) 164.29/164.69 (step @p806 :rule refl :args (@t353)) 164.29/164.69 (step @p807 :rule nary_cong :premises (@p587 @p806 @p805 @p804) :args ((or @t303 @t353 @t378 @t377))) 164.29/164.69 (assume-push @p936 @t302) 164.29/164.69 (assume-push @p937 @t352) 164.29/164.69 (assume-push @p938 @t373) 164.29/164.69 (assume-push @p939 @t302) 164.29/164.69 (assume-push @p940 @t373) 164.29/164.69 (assume-push @p941 @t352) 164.29/164.69 (step @p595 :rule false_intro :premises (@p583)) 164.29/164.69 (step @p814 :rule symm :premises (@p938)) 164.29/164.69 (step @p815 :rule cong :premises (@p421 @p814) :args (@t349)) 164.29/164.69 (step @p816 :rule trans :premises (@p762 @p815)) 164.29/164.69 (step @p817 :rule cong :premises (@p816) :args (@t370)) 164.29/164.69 (step @p818 :rule cong :premises (@p817 @p421) :args (@t376)) 164.29/164.69 (step @p819 :rule trans :premises (@p818 @p595)) 164.29/164.69 (step @p820 :rule false_elim :premises (@p819)) 164.29/164.69 (step-pop @p941 :rule scope :premises (@p820)) 164.29/164.69 (step-pop @p942 :rule scope :premises (@p941)) 164.29/164.69 (step-pop @p943 :rule scope :premises (@p942)) 164.29/164.69 (step @p821 :rule process_scope :premises (@p943) :args (@t377)) 164.29/164.69 (step @p825 :rule and_intro :premises (@p583 @p938 @p762)) 164.29/164.69 (step @p826 :rule modus_ponens :premises (@p825 @p821)) 164.29/164.69 (step-pop @p944 :rule scope :premises (@p826)) 164.29/164.69 (step-pop @p945 :rule scope :premises (@p944)) 164.29/164.69 (step-pop @p946 :rule scope :premises (@p945)) 164.29/164.69 (step @p827 :rule process_scope :premises (@p946) :args (@t377)) 164.29/164.69 (step @p831 :rule implies_elim :premises (@p827)) 164.29/164.69 (step @p832 :rule cnf_and_neg :args (@t379)) 164.29/164.69 (step @p833 :rule resolution :premises (@p832 @p831) :args (true @t379)) 164.29/164.69 (step @p834 :rule eq_resolve :premises (@p833 @p807)) 164.29/164.69 (step @p835 :rule instantiate :premises (@p619) :args ((@list @t245 @t221 @t370))) 164.29/164.69 (step @p836 :rule cnf_or_pos :args (@t381)) 164.29/164.69 (step @p837 :rule reordering :premises (@p836) :args ((or @t307 @t380 @t376 (not @t381)))) 164.29/164.69 (step @p838 :rule chain_resolution :premises (@p837 @p835 @p618 @p834 @p762 @p583 @p803 @p776 @p762) :args (@t309 (@list @t381 @t306 @t376 @t352 @t246 @t374 @t371 @t352))) 164.29/164.69 (step @p839 :rule factoring :premises (@p838)) 164.29/164.69 (step @p840 :rule eq-symm :args (@t384 @t382)) 164.29/164.69 (step @p841 :rule eq-refl :args (@t382)) 164.29/164.69 (step @p842 :rule refl :args (@t382)) 164.29/164.69 (step @p843 :rule eq-symm :args (@t329 @t216)) 164.29/164.69 (step @p844 :rule beta-reduce :args ((= @t386 @t385))) 164.29/164.69 (step @p845 :rule trans :premises (@p844 @p843)) 164.29/164.69 (step @p846 :rule cong :premises (@p845 @p842) :args ((= @t386 @t382))) 164.29/164.69 (step @p847 :rule trans :premises (@p846 @p841)) 164.29/164.69 (step @p848 :rule refl :args (@t329)) 164.29/164.69 (step @p849 :rule ho_cong :premises (@p725 @p848)) 164.29/164.69 (step @p850 :rule cong :premises (@p849 @p842) :args ((= @t387 @t382))) 164.29/164.69 (step @p851 :rule trans :premises (@p850 @p847)) 164.29/164.69 (step @p852 :rule true_elim :premises (@p851)) 164.29/164.69 (step @p853 :rule eq-refl :args (@t384)) 164.29/164.69 (step @p854 :rule refl :args (@t384)) 164.29/164.69 (step @p855 :rule eq-symm :args (@t329 @t212)) 164.29/164.69 (step @p856 :rule nary_cong :premises (@p640 @p855) :args (@t388)) 164.29/164.69 (step @p857 :rule nary_cong :premises (@p461 @p843) :args (@t389)) 164.29/164.69 (step @p858 :rule nary_cong :premises (@p857 @p856) :args (@t390)) 164.29/164.69 (step @p859 :rule beta-reduce :args ((= @t391 @t390))) 164.29/164.69 (step @p860 :rule trans :premises (@p859 @p858)) 164.29/164.69 (step @p861 :rule cong :premises (@p860 @p854) :args ((= @t391 @t384))) 164.29/164.69 (step @p862 :rule trans :premises (@p861 @p853)) 164.29/164.69 (step @p863 :rule ho_cong :premises (@p447 @p848)) 164.29/164.69 (step @p864 :rule cong :premises (@p863 @p854) :args ((= @t392 @t384))) 164.29/164.69 (step @p865 :rule trans :premises (@p864 @p862)) 164.29/164.69 (step @p866 :rule true_elim :premises (@p865)) 164.29/164.69 (step @p867 :rule cong :premises (@p866 @p852) :args (@t393)) 164.29/164.69 (step @p868 :rule trans :premises (@p867 @p840)) 164.29/164.69 (step @p869 :rule cong :premises (@p868) :args (@t394)) 164.29/164.69 (step @p870 :rule refl :args (@t373)) 164.29/164.69 (step @p871 :rule nary_cong :premises (@p870 @p869) :args (@t395)) 164.29/164.69 ; trust TRUST THEORY_LEMMA 164.29/164.69 (step @p872 :rule trust :premises () :args (@t395)) 164.29/164.69 (step @p873 :rule eq_resolve :premises (@p872 @p871)) 164.29/164.69 (step @p874 :rule chain_resolution :premises (@p873 @p839) :args (@t263 (@list @t373))) 164.29/164.69 (step @p875 :rule cnf_equiv_neg2 :args (@t396)) 164.29/164.69 (step @p876 :rule cnf_and_neg :args (@t383)) 164.29/164.69 (step @p877 :rule reordering :premises (@p876) :args ((or @t240 @t383 (not @t382)))) 164.29/164.69 (step @p878 :rule cnf_or_neg :args (@t384 0)) 164.29/164.69 (step @p879 :rule chain_resolution :premises (@p878 @p877 @p686 @p875 @p874) :args ((@list false false true true) (@list @t383 @t239 @t384 @t396))) 164.29/164.69 (step @p880 :rule factoring :premises (@p879)) 164.29/164.69 (step @p881 :rule cnf_and_pos :args (@t383 1)) 164.29/164.69 (step @p882 :rule reordering :premises (@p881) :args ((or @t382 (not @t383)))) 164.29/164.69 (step @p883 :rule chain_resolution :premises (@p882 @p880) :args (@t263 (@list @t382))) 164.29/164.69 (step @p884 :rule cnf_equiv_neg1 :args (@t396)) 164.29/164.69 (step @p885 :rule reordering :premises (@p884) :args ((or @t382 @t384 @t396))) 164.29/164.69 (step @p886 :rule chain_resolution :premises (@p885 @p880 @p874) :args ((@list true true) (@list @t382 @t396))) 164.29/164.69 (step @p887 :rule cnf_or_pos :args (@t384)) 164.29/164.69 (step @p888 :rule reordering :premises (@p887) :args ((or @t383 @t330 (not @t384)))) 164.29/164.69 (step @p889 false :rule chain_resolution :premises (@p888 @p886 @p883 @p689) :args (@t328 (@list @t384 @t383 @t330))) 164.29/164.69 ) 164.29/164.69 % SZS output end Proof 164.29/164.69 % cvc5 exiting 164.29/164.69 EOF