0.04/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.12 % Command : do_cvc5 %s %d THM 0.12/0.33 % Computer : n005.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Thu Jul 4 07:56:39 EDT 2024 0.12/0.33 % CPUTime : 0.19/0.49 %----Proving TF0_ARI 19.22/19.44 --- Run --finite-model-find --decision=internal at 15... 19.22/19.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --enum-inst at 10... 19.22/19.44 % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.3GPAnC8ogN/cvc5---1.0.5_31226.smt2 19.22/19.44 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.3GPAnC8ogN/cvc5---1.0.5_31226.smt2 19.22/19.44 (declare-sort tptp.element 0) 19.22/19.44 (declare-sort tptp.set 0) 19.22/19.44 (declare-fun tptp.intersection (tptp.set tptp.set) tptp.set) 19.22/19.44 (declare-fun tptp.complement (tptp.set) tptp.set) 19.22/19.44 (declare-fun tptp.subset (tptp.set tptp.set) Bool) 19.22/19.44 (declare-fun tptp.union (tptp.set tptp.set) tptp.set) 19.22/19.44 (declare-fun tptp.singleton (tptp.element) tptp.set) 19.22/19.44 (declare-fun tptp.empty_set () tptp.set) 19.22/19.44 (declare-fun tptp.cardinality (tptp.set) Int) 19.22/19.44 (declare-fun tptp.difference (tptp.set tptp.set) tptp.set) 19.22/19.44 (declare-fun tptp.member (tptp.element tptp.set) Bool) 19.22/19.44 (define @v.0.X () (alf.var "X" tptp.element)) 19.22/19.44 (define @v.0.X1 () (alf.var "X1" tptp.element)) 19.22/19.44 (define @v.0.A () (alf.var "A" tptp.set)) 19.22/19.44 (define @v.0.E () (alf.var "E" tptp.set)) 19.22/19.44 (define @v.0.X3 () (alf.var "X3" tptp.element)) 19.22/19.44 (define @v.0.T () (alf.var "T" tptp.set)) 19.22/19.44 (define @v.1.A () (alf.var "A" tptp.element)) 19.22/19.44 (define @v.0.X2 () (alf.var "X2" tptp.element)) 19.22/19.44 (define @v.0.B () (alf.var "B" tptp.element)) 19.22/19.44 (define @v.0.S () (alf.var "S" tptp.set)) 19.22/19.44 (define @v.0.C () (alf.var "C" tptp.set)) 19.22/19.44 (define @v.1.B () (alf.var "B" tptp.set)) 19.22/19.44 (define @t1 () (tptp.cardinality @v.0.S)) 19.22/19.44 (define @t2 () (= @v.0.S tptp.empty_set)) 19.22/19.44 (define @t3 () (@list @v.0.S)) 19.22/19.44 (define @t4 () (tptp.cardinality @v.0.C)) 19.22/19.44 (define @t5 () (tptp.singleton @v.0.X2)) 19.22/19.44 (define @t6 () (tptp.singleton @v.0.X1)) 19.22/19.44 (define @t7 () (tptp.cardinality (tptp.union (tptp.union (tptp.union @v.0.C @t6) @t5) (tptp.singleton @v.0.X3)))) 19.22/19.44 (define @t8 () (tptp.subset @v.0.C @v.0.A)) 19.22/19.44 (define @t9 () (tptp.member @v.0.X1 @v.0.A)) 19.22/19.44 (define @t10 () (tptp.union @v.0.A @t6)) 19.22/19.44 (define @t11 () (tptp.member @v.0.X2 @t10)) 19.22/19.44 (define @t12 () (tptp.member @v.0.X3 (tptp.union @t10 @t5))) 19.22/19.44 (define @t13 () (@list @v.0.C @v.0.A @v.0.X1 @v.0.X2 @v.0.X3)) 19.22/19.44 (define @t14 () (not (forall @t13 (=> (and (not @t12) (not @t11) (not @t9) @t8) (= @t7 (+ @t4 3)))))) 19.22/19.44 (define @t15 () (tptp.member @v.0.X @v.0.S)) 19.22/19.44 (define @t16 () (@list @v.0.X @v.0.S)) 19.22/19.44 (define @t17 () (tptp.member @v.0.X @v.0.A)) 19.22/19.44 (define @t18 () (tptp.member @v.0.X @v.1.B)) 19.22/19.44 (define @t19 () (tptp.union @v.0.A @v.1.B)) 19.22/19.44 (define @t20 () (@list @v.0.X @v.0.A @v.1.B)) 19.22/19.44 (define @t21 () (forall (@list @v.0.X @v.1.A) (= (= @v.0.X @v.1.A) (tptp.member @v.0.X (tptp.singleton @v.1.A))))) 19.22/19.44 (define @t22 () (tptp.singleton @v.0.X)) 19.22/19.44 (define @t23 () (tptp.intersection @t22 @v.0.S)) 19.22/19.44 (define @t24 () (tptp.cardinality (tptp.union @t22 @v.0.S))) 19.22/19.44 (define @t25 () (forall @t16 (= (= @t24 (+ @t1 1)) (= @t23 tptp.empty_set)))) 19.22/19.44 (define @t26 () (tptp.intersection @v.0.A @v.1.B)) 19.22/19.44 (define @t27 () (= (tptp.cardinality @t19) (+ (tptp.cardinality @v.0.A) (tptp.cardinality @v.1.B)))) 19.22/19.44 (define @t28 () (@list @v.0.A @v.1.B)) 19.22/19.44 (define @t29 () (forall @t28 (= @t27 (= @t26 tptp.empty_set)))) 19.22/19.44 (define @t30 () (tptp.subset @v.0.A @v.1.B)) 19.22/19.44 (define @t31 () (@list @v.0.X)) 19.22/19.44 (define @t32 () (forall @t28 (= (forall @t31 (=> @t17 @t18)) @t30))) 19.22/19.44 (define @t33 () (forall @t31 (not @t15))) 19.22/19.44 (define @t34 () (forall @t3 (= @t2 @t33))) 19.22/19.44 (define @t35 () (tptp.intersection @v.0.S @v.0.T)) 19.22/19.44 (define @t36 () (forall @t20 (= (and @t18 @t17) (tptp.member @v.0.X @t26)))) 19.22/19.44 (define @t37 () (or @t12 @t11 @t9 (not @t8) (= @t7 (+ 3 @t4)))) 19.22/19.44 (define @t38 () (exists @t13 (not @t37))) 19.22/19.44 (define @t39 () (@quantifiers_skolemize @t38 @v.0.A)) 19.22/19.44 (define @t40 () (@quantifiers_skolemize @t38 @v.0.C)) 19.22/19.44 (define @t41 () (tptp.subset @t40 @t39)) 19.22/19.44 (define @t42 () (not @t41)) 19.22/19.44 (define @t43 () (tptp.cardinality @t40)) 19.22/19.44 (define @t44 () (@quantifiers_skolemize @t38 @v.0.X3)) 19.22/19.44 (define @t45 () (tptp.singleton @t44)) 19.22/19.44 (define @t46 () (@quantifiers_skolemize @t38 @v.0.X2)) 19.22/19.44 (define @t47 () (tptp.singleton @t46)) 19.22/19.44 (define @t48 () (@quantifiers_skolemize @t38 @v.0.X1)) 19.22/19.44 (define @t49 () (tptp.singleton @t48)) 19.22/19.44 (define @t50 () (tptp.union @t40 @t49)) 19.22/19.44 (define @t51 () (tptp.union @t50 @t47)) 19.22/19.44 (define @t52 () (tptp.cardinality (tptp.union @t51 @t45))) 19.22/19.44 (define @t53 () (= @t52 (+ 3 @t43))) 19.22/19.44 (define @t54 () (tptp.member @t48 @t39)) 19.22/19.44 (define @t55 () (tptp.union @t39 @t49)) 19.22/19.44 (define @t56 () (tptp.member @t46 @t55)) 19.22/19.44 (define @t57 () (tptp.union @t55 @t47)) 19.22/19.44 (define @t58 () (tptp.member @t44 @t57)) 19.22/19.44 (define @t59 () (or @t58 @t56 @t54 @t42 @t53)) 19.22/19.44 (define @t60 () (not (tptp.member @v.0.X @t40))) 19.22/19.44 (define @t61 () (forall @t31 (or @t60 (tptp.member @v.0.X @t39)))) 19.22/19.44 (define @t62 () (= @t41 @t61)) 19.22/19.44 (define @t63 () (not @t56)) 19.22/19.44 (define @t64 () (tptp.member @t46 @t39)) 19.22/19.44 (define @t65 () (tptp.member @t46 @t49)) 19.22/19.44 (define @t66 () (or @t65 @t64)) 19.22/19.44 (define @t67 () (= @t56 @t66)) 19.22/19.44 (define @t68 () (not @t66)) 19.22/19.44 (define @t69 () (tptp.member @t46 @t40)) 19.22/19.44 (define @t70 () (not @t69)) 19.22/19.44 (define @t71 () (or @t70 @t64)) 19.22/19.44 (define @t72 () (tptp.intersection @t47 @t40)) 19.22/19.44 (define @t73 () (not (tptp.member @v.0.X @t72))) 19.22/19.44 (define @t74 () (@quantifiers_skolemize (exists @t31 (not @t73)) @v.0.X)) 19.22/19.44 (define @t75 () (tptp.member @t74 @t72)) 19.22/19.44 (define @t76 () (tptp.member @t74 @t47)) 19.22/19.44 (define @t77 () (tptp.member @t74 @t40)) 19.22/19.44 (define @t78 () (and @t77 @t76)) 19.22/19.44 (define @t79 () (= @t75 @t78)) 19.22/19.44 (define @t80 () (forall @t3 (= @t33 (= tptp.empty_set @v.0.S)))) 19.22/19.44 (define @t81 () (= tptp.empty_set @t72)) 19.22/19.44 (define @t82 () (forall @t31 @t73)) 19.22/19.44 (define @t83 () (= @t81 @t82)) 19.22/19.44 (define @t84 () (forall @t28 (= @t27 (= tptp.empty_set @t26)))) 19.22/19.44 (define @t85 () (tptp.cardinality @t47)) 19.22/19.44 (define @t86 () (tptp.cardinality (tptp.union @t47 @t40))) 19.22/19.44 (define @t87 () (* -1 @t85)) 19.22/19.44 (define @t88 () (= @t43 (+ @t87 @t86))) 19.22/19.44 (define @t89 () (= @t81 @t88)) 19.22/19.44 (define @t90 () (not @t89)) 19.22/19.44 (define @t91 () (not @t88)) 19.22/19.44 (define @t92 () (tptp.intersection @t50 @t47)) 19.22/19.44 (define @t93 () (= tptp.empty_set @t92)) 19.22/19.44 (define @t94 () (tptp.cardinality @t50)) 19.22/19.44 (define @t95 () (tptp.cardinality @t51)) 19.22/19.44 (define @t96 () (= @t94 (+ @t87 @t95))) 19.22/19.44 (define @t97 () (= @t93 @t96)) 19.22/19.44 (define @t98 () (not (tptp.member @v.0.X @t92))) 19.22/19.44 (define @t99 () (forall @t31 @t98)) 19.22/19.44 (define @t100 () (= @t93 @t99)) 19.22/19.44 (define @t101 () (@quantifiers_skolemize (exists @t31 (not @t98)) @v.0.X)) 19.22/19.44 (define @t102 () (tptp.member @t101 @t92)) 19.22/19.44 (define @t103 () (tptp.member @t101 @t50)) 19.22/19.44 (define @t104 () (tptp.member @t101 @t47)) 19.22/19.44 (define @t105 () (and @t104 @t103)) 19.22/19.44 (define @t106 () (= @t102 @t105)) 19.22/19.44 (define @t107 () (not @t105)) 19.22/19.44 (define @t108 () (= @t46 @t101)) 19.22/19.44 (define @t109 () (= @t104 @t108)) 19.22/19.44 (define @t110 () (tptp.member @t101 @t40)) 19.22/19.44 (define @t111 () (tptp.member @t101 @t49)) 19.22/19.44 (define @t112 () (or @t111 @t110)) 19.22/19.44 (define @t113 () (= @t103 @t112)) 19.22/19.44 (define @t114 () (= @t48 @t101)) 19.22/19.44 (define @t115 () (= @t111 @t114)) 19.22/19.44 (define @t116 () (= @t48 @t46)) 19.22/19.44 (define @t117 () (= @t65 @t116)) 19.22/19.44 (define @t118 () (not @t116)) 19.22/19.44 (define @t119 () (not @t114)) 19.22/19.44 (define @t120 () (and @t118 @t108)) 19.22/19.44 (define @t121 () (or @t60 (tptp.member @v.0.X @t55))) 19.22/19.44 (define @t122 () (@quantifiers_skolemize (exists @t31 (not @t121)) @v.0.X)) 19.22/19.44 (define @t123 () (tptp.member @t122 @t40)) 19.22/19.44 (define @t124 () (not @t123)) 19.22/19.44 (define @t125 () (tptp.member @t122 @t55)) 19.22/19.44 (define @t126 () (or @t124 @t125)) 19.22/19.44 (define @t127 () (tptp.member @t122 @t39)) 19.22/19.44 (define @t128 () (or @t124 @t127)) 19.22/19.44 (define @t129 () (or (tptp.member @t122 @t49) @t127)) 19.22/19.44 (define @t130 () (= @t125 @t129)) 19.22/19.44 (define @t131 () (not @t126)) 19.22/19.44 (define @t132 () (forall @t31 @t121)) 19.22/19.44 (define @t133 () (not @t132)) 19.22/19.44 (define @t134 () (tptp.member @t101 @t55)) 19.22/19.44 (define @t135 () (not @t110)) 19.22/19.44 (define @t136 () (or @t135 @t134)) 19.22/19.44 (define @t137 () (not @t134)) 19.22/19.44 (define @t138 () (and @t63 @t108)) 19.22/19.44 (define @t139 () (not @t102)) 19.22/19.44 (define @t140 () (not @t99)) 19.22/19.44 (define @t141 () (not @t139)) 19.22/19.44 (define @t142 () (tptp.intersection @t51 @t45)) 19.22/19.44 (define @t143 () (= tptp.empty_set @t142)) 19.22/19.44 (define @t144 () (not (tptp.member @v.0.X @t142))) 19.22/19.44 (define @t145 () (forall @t31 @t144)) 19.22/19.44 (define @t146 () (= @t143 @t145)) 19.22/19.44 (define @t147 () (@quantifiers_skolemize (exists @t31 (not @t144)) @v.0.X)) 19.22/19.44 (define @t148 () (tptp.member @t147 @t142)) 19.22/19.44 (define @t149 () (tptp.member @t147 @t51)) 19.22/19.44 (define @t150 () (tptp.member @t147 @t45)) 19.22/19.44 (define @t151 () (and @t150 @t149)) 19.22/19.44 (define @t152 () (= @t148 @t151)) 19.22/19.44 (define @t153 () (not @t151)) 19.22/19.44 (define @t154 () (= @t44 @t147)) 19.22/19.44 (define @t155 () (= @t150 @t154)) 19.22/19.44 (define @t156 () (tptp.member @t147 @t50)) 19.22/19.44 (define @t157 () (tptp.member @t147 @t47)) 19.22/19.44 (define @t158 () (or @t157 @t156)) 19.22/19.44 (define @t159 () (= @t149 @t158)) 19.22/19.44 (define @t160 () (not @t58)) 19.22/19.44 (define @t161 () (tptp.member @t44 @t55)) 19.22/19.44 (define @t162 () (tptp.member @t44 @t47)) 19.22/19.44 (define @t163 () (or @t162 @t161)) 19.22/19.44 (define @t164 () (= @t58 @t163)) 19.22/19.44 (define @t165 () (not @t163)) 19.22/19.44 (define @t166 () (not @t162)) 19.22/19.44 (define @t167 () (not @t157)) 19.22/19.44 (define @t168 () (not @t154)) 19.22/19.44 (define @t169 () (and @t166 @t154)) 19.22/19.44 (define @t170 () (tptp.member @t44 @t49)) 19.22/19.44 (define @t171 () (or @t170 (tptp.member @t44 @t39))) 19.22/19.44 (define @t172 () (= @t161 @t171)) 19.22/19.44 (define @t173 () (not @t171)) 19.22/19.44 (define @t174 () (not @t170)) 19.22/19.44 (define @t175 () (tptp.member @t147 @t49)) 19.22/19.44 (define @t176 () (not @t175)) 19.22/19.44 (define @t177 () (and @t174 @t154)) 19.22/19.44 (define @t178 () (tptp.member @t147 @t40)) 19.22/19.44 (define @t179 () (or @t175 @t178)) 19.22/19.44 (define @t180 () (= @t156 @t179)) 19.22/19.44 (define @t181 () (or @t60 (tptp.member @v.0.X @t57))) 19.22/19.44 (define @t182 () (@quantifiers_skolemize (exists @t31 (not @t181)) @v.0.X)) 19.22/19.44 (define @t183 () (tptp.member @t182 @t40)) 19.22/19.44 (define @t184 () (not @t183)) 19.22/19.44 (define @t185 () (tptp.member @t182 @t57)) 19.22/19.44 (define @t186 () (or @t184 @t185)) 19.22/19.44 (define @t187 () (tptp.member @t182 @t55)) 19.22/19.44 (define @t188 () (or @t184 @t187)) 19.22/19.44 (define @t189 () (or (tptp.member @t182 @t47) @t187)) 19.22/19.44 (define @t190 () (= @t185 @t189)) 19.22/19.44 (define @t191 () (not @t186)) 19.22/19.44 (define @t192 () (forall @t31 @t181)) 19.22/19.44 (define @t193 () (not @t192)) 19.22/19.44 (define @t194 () (tptp.member @t147 @t57)) 19.22/19.44 (define @t195 () (not @t178)) 19.22/19.44 (define @t196 () (or @t195 @t194)) 19.22/19.44 (define @t197 () (not @t194)) 19.22/19.44 (define @t198 () (and @t160 @t154)) 19.22/19.44 (define @t199 () (not @t148)) 19.22/19.44 (define @t200 () (not @t145)) 19.22/19.44 (define @t201 () (not @t199)) 19.22/19.44 (define @t202 () (tptp.cardinality @t45)) 19.22/19.44 (define @t203 () (= @t52 (+ @t95 @t202))) 19.22/19.44 (define @t204 () (= @t203 @t143)) 19.22/19.44 (define @t205 () (not @t53)) 19.22/19.44 (define @t206 () (tptp.intersection @t40 @t49)) 19.22/19.44 (define @t207 () (= tptp.empty_set @t206)) 19.22/19.44 (define @t208 () (tptp.cardinality @t49)) 19.22/19.44 (define @t209 () (= @t43 (+ @t94 (* -1 @t208)))) 19.22/19.44 (define @t210 () (= @t207 @t209)) 19.22/19.44 (define @t211 () (not (tptp.member @v.0.X @t206))) 19.22/19.44 (define @t212 () (forall @t31 @t211)) 19.22/19.44 (define @t213 () (= @t207 @t212)) 19.22/19.44 (define @t214 () (@quantifiers_skolemize (exists @t31 (not @t211)) @v.0.X)) 19.22/19.44 (define @t215 () (tptp.member @t214 @t206)) 19.22/19.44 (define @t216 () (tptp.member @t214 @t40)) 19.22/19.44 (define @t217 () (tptp.member @t214 @t49)) 19.22/19.44 (define @t218 () (and @t217 @t216)) 19.22/19.44 (define @t219 () (= @t215 @t218)) 19.22/19.44 (define @t220 () (not @t218)) 19.22/19.44 (define @t221 () (= @t48 @t214)) 19.22/19.44 (define @t222 () (= @t217 @t221)) 19.22/19.44 (define @t223 () (tptp.member @t214 @t39)) 19.22/19.44 (define @t224 () (not @t216)) 19.22/19.44 (define @t225 () (or @t224 @t223)) 19.22/19.44 (define @t226 () (not @t54)) 19.22/19.44 (define @t227 () (not @t223)) 19.22/19.44 (define @t228 () (and @t226 @t221)) 19.22/19.44 (define @t229 () (not @t215)) 19.22/19.44 (define @t230 () (not @t212)) 19.22/19.44 (define @t231 () (not @t229)) 19.22/19.44 (define @t232 () (tptp.intersection @t49 tptp.empty_set)) 19.22/19.44 (define @t233 () (= tptp.empty_set @t232)) 19.22/19.44 (define @t234 () (tptp.cardinality tptp.empty_set)) 19.22/19.44 (define @t235 () (tptp.cardinality (tptp.union @t49 tptp.empty_set))) 19.22/19.44 (define @t236 () (* -1 @t234)) 19.22/19.44 (define @t237 () (= @t208 (+ @t236 @t235))) 19.22/19.44 (define @t238 () (= @t233 @t237)) 19.22/19.44 (define @t239 () (not (tptp.member @v.0.X @t232))) 19.22/19.44 (define @t240 () (forall @t31 @t239)) 19.22/19.44 (define @t241 () (= @t233 @t240)) 19.22/19.44 (define @t242 () (@quantifiers_skolemize (exists @t31 (not @t239)) @v.0.X)) 19.22/19.44 (define @t243 () (tptp.member @t242 @t232)) 19.22/19.44 (define @t244 () (tptp.member @t242 tptp.empty_set)) 19.22/19.44 (define @t245 () (and @t244 (tptp.member @t242 @t49))) 19.22/19.44 (define @t246 () (= @t243 @t245)) 19.22/19.44 (define @t247 () (forall @t31 (not (tptp.member @v.0.X tptp.empty_set)))) 19.22/19.44 (define @t248 () (not @t245)) 19.22/19.44 (define @t249 () (not @t243)) 19.22/19.44 (define @t250 () (not @t240)) 19.22/19.44 (define @t251 () (not @t249)) 19.22/19.44 (define @t252 () (not @t233)) 19.22/19.44 (define @t253 () (= @t234 (+ -1 @t235))) 19.22/19.44 (define @t254 () (= @t253 @t233)) 19.22/19.44 (define @t255 () (* -1 @t235)) 19.22/19.44 (define @t256 () (+ @t234 @t255)) 19.22/19.44 (define @t257 () (>= @t256 0)) 19.22/19.44 (define @t258 () (= @t256 -1)) 19.22/19.44 (define @t259 () (* -1 0)) 19.22/19.44 (define @t260 () (* -1 @t256)) 19.22/19.44 (define @t261 () (< @t256 0)) 19.22/19.44 (define @t262 () (not @t257)) 19.22/19.44 (define @t263 () (tptp.intersection @t45 tptp.empty_set)) 19.22/19.44 (define @t264 () (= tptp.empty_set @t263)) 19.22/19.44 (define @t265 () (not (tptp.member @v.0.X @t263))) 19.22/19.44 (define @t266 () (forall @t31 @t265)) 19.22/19.44 (define @t267 () (= @t264 @t266)) 19.22/19.44 (define @t268 () (@quantifiers_skolemize (exists @t31 (not @t265)) @v.0.X)) 19.22/19.44 (define @t269 () (tptp.member @t268 @t263)) 19.22/19.44 (define @t270 () (tptp.member @t268 tptp.empty_set)) 19.22/19.44 (define @t271 () (and @t270 (tptp.member @t268 @t45))) 19.22/19.44 (define @t272 () (= @t269 @t271)) 19.22/19.44 (define @t273 () (not @t271)) 19.22/19.44 (define @t274 () (not @t269)) 19.22/19.44 (define @t275 () (not @t266)) 19.22/19.44 (define @t276 () (not @t274)) 19.22/19.44 (define @t277 () (tptp.cardinality (tptp.union @t45 tptp.empty_set))) 19.22/19.44 (define @t278 () (= @t234 (+ -1 @t277))) 19.22/19.44 (define @t279 () (= @t278 @t264)) 19.22/19.44 (define @t280 () (not @t264)) 19.22/19.44 (define @t281 () (= @t202 (+ @t236 @t277))) 19.22/19.44 (define @t282 () (= @t264 @t281)) 19.22/19.44 (define @t283 () (+ @t52 (* -1 @t43))) 19.22/19.44 (define @t284 () (>= @t283 4)) 19.22/19.44 (define @t285 () (not @t284)) 19.22/19.44 (define @t286 () (= @t43 (+ -1 @t86))) 19.22/19.44 (define @t287 () (not @t286)) 19.22/19.44 (define @t288 () (not @t203)) 19.22/19.44 (define @t289 () (not @t96)) 19.22/19.44 (define @t290 () (<= @t283 2)) 19.22/19.44 (define @t291 () (* -1 @t277)) 19.22/19.44 (define @t292 () (+ @t202 @t234 @t291)) 19.22/19.44 (define @t293 () (= @t292 0)) 19.22/19.44 (define @t294 () (* -1 @t95)) 19.22/19.44 (define @t295 () (+ @t52 @t294 (* -1 @t202))) 19.22/19.44 (define @t296 () (= @t295 0)) 19.22/19.44 (define @t297 () (+ @t234 @t291)) 19.22/19.44 (define @t298 () (= @t297 -1)) 19.22/19.44 (define @t299 () (* -1 @t86)) 19.22/19.44 (define @t300 () (+ @t43 @t85 @t299)) 19.22/19.44 (define @t301 () (= @t300 0)) 19.22/19.44 (define @t302 () (+ @t43 @t299)) 19.22/19.44 (define @t303 () (= @t302 -1)) 19.22/19.44 (define @t304 () (+ @t43 (* -1 @t94) @t208)) 19.22/19.44 (define @t305 () (= @t304 0)) 19.22/19.44 (define @t306 () (+ @t94 @t85 @t294)) 19.22/19.44 (define @t307 () (= @t306 0)) 19.22/19.44 (define @t308 () (+ @t208 @t234 @t255)) 19.22/19.44 (define @t309 () (= @t308 0)) 19.22/19.44 (define @t310 () (* -1 @t292)) 19.22/19.44 (define @t311 () (< @t283 4)) 19.22/19.44 (define @t312 () (and @t281 @t203 @t278 @t88 @t286 @t209 @t96 @t237 @t262 @t205 @t285)) 19.22/19.44 (define @t313 () (>= @t292 1)) 19.22/19.44 (define @t314 () (< @t292 1)) 19.22/19.44 (define @t315 () (not @t313)) 19.22/19.44 (define @t316 () (* -1 -1)) 19.22/19.44 (define @t317 () (and @t315 @t203 @t278 @t88 @t286 @t209 @t96 @t237 @t253 @t284)) 19.22/19.44 (define @t318 () (= @t286 @t81)) 19.22/19.44 (define @t319 () (not @t81)) 19.22/19.44 (define @t320 () (not @t82)) 19.22/19.44 (define @t321 () (not @t75)) 19.22/19.44 (define @t322 () (not @t321)) 19.22/19.44 (define @t323 () (not @t78)) 19.22/19.44 (define @t324 () (= @t46 @t74)) 19.22/19.44 (define @t325 () (= @t76 @t324)) 19.22/19.44 (define @t326 () (and @t70 @t324 @t77)) 19.22/19.44 (assume @p1 (forall (@list @v.0.B @v.0.A @v.0.E) (= (tptp.member @v.0.B (tptp.difference @v.0.E @v.0.A)) (and (not (tptp.member @v.0.B @v.0.A)) (tptp.member @v.0.B @v.0.E))))) 19.22/19.44 (assume @p2 (forall @t3 (= @t2 (= @t1 0)))) 19.22/19.44 (assume @p3 @t14) 19.22/19.44 (assume @p4 (forall @t16 (= @t15 (not (tptp.member @v.0.X (tptp.complement @v.0.S)))))) 19.22/19.44 (assume @p5 (forall @t20 (= (tptp.member @v.0.X @t19) (or @t18 @t17)))) 19.22/19.44 (assume @p6 @t21) 19.22/19.44 (assume @p7 @t25) 19.22/19.44 (assume @p8 @t29) 19.22/19.44 (assume @p9 @t32) 19.22/19.44 (assume @p10 @t34) 19.22/19.44 (assume @p11 (forall @t16 (= (= @t24 @t1) (= @t23 @t22)))) 19.22/19.44 (assume @p12 (forall (@list @v.0.S @v.0.T) (= (= @t35 tptp.empty_set) (= (tptp.cardinality @t35) 0)))) 19.22/19.44 (assume @p13 @t36) 19.22/19.44 (assume @p14 true) 19.22/19.44 ; WARNING: add trust step for MACRO_SR_EQ_INTRO 19.22/19.44 ; trust MACRO_SR_EQ_INTRO 19.22/19.44 (step @p15 :rule trust :premises () :args ((= @t32 (forall @t28 (= @t30 (forall @t31 (or (not @t17) @t18))))))) 19.22/19.44 (step @p16 :rule eq_resolve :premises (@p9 @p15)) 19.22/19.44 (step @p17 :rule instantiate :premises (@p16) :args ((@list @t40 @t39))) 19.22/19.44 ; trust MACRO_SR_EQ_INTRO 19.22/19.44 (step @p18 :rule trust :premises () :args ((= @t14 (not (forall @t13 @t37))))) 19.22/19.44 (step @p19 :rule eq_resolve :premises (@p3 @p18)) 19.22/19.44 (step @p20 :rule skolemize :premises (@p19)) 19.22/19.44 ; WARNING: add trust step for MACRO_SR_PRED_INTRO 19.22/19.44 ; trust MACRO_SR_PRED_INTRO 19.22/19.44 (step @p21 :rule trust :premises () :args ((= (not @t42) @t41))) 19.22/19.44 (step @p22 :rule refl :args (@t59)) 19.22/19.44 (step @p23 :rule nary_cong :premises (@p22 @p21) :args (or)) 19.22/19.44 (step @p24 :rule cnf_or_neg :args (@t59 3)) 19.22/19.44 (step @p25 :rule eq_resolve :premises (@p24 @p23)) 19.22/19.44 (step @p26 :rule reordering :premises (@p25) :args ((or @t41 @t59))) 19.22/19.44 ; WARNING: add trust step for MACRO_RESOLUTION_TRUST 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p27 :rule trust :premises (@p26 @p20) :args (@t41)) 19.22/19.44 (step @p28 :rule cnf_equiv_pos1 :args (@t62)) 19.22/19.44 (step @p29 :rule reordering :premises (@p28) :args ((or @t42 @t61 (not @t62)))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p30 :rule trust :premises (@p29 @p27 @p17) :args (@t61)) 19.22/19.44 (step @p31 :rule instantiate :premises (@p30) :args ((@list @t46))) 19.22/19.44 (step @p32 :rule instantiate :premises (@p5) :args ((@list @t46 @t39 @t49))) 19.22/19.44 (step @p33 :rule cnf_or_neg :args (@t59 1)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p34 :rule trust :premises (@p33 @p20) :args (@t63)) 19.22/19.44 (step @p35 :rule cnf_equiv_pos2 :args (@t67)) 19.22/19.44 (step @p36 :rule reordering :premises (@p35) :args ((or @t56 @t68 (not @t67)))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p37 :rule trust :premises (@p36 @p34 @p32) :args (@t68)) 19.22/19.44 (step @p38 :rule cnf_or_neg :args (@t66 1)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p39 :rule trust :premises (@p38 @p37) :args ((not @t64))) 19.22/19.44 (step @p40 :rule cnf_or_pos :args (@t71)) 19.22/19.44 (step @p41 :rule reordering :premises (@p40) :args ((or @t64 @t70 (not @t71)))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p42 :rule trust :premises (@p41 @p39 @p31) :args (@t70)) 19.22/19.44 (assume-push @p43 @t36) 19.22/19.44 (step @p44 :rule instantiate :premises (@p13) :args ((@list @t74 @t47 @t40))) 19.22/19.44 (step-pop @p886 :rule scope :premises (@p44)) 19.22/19.44 (step @p45 :rule process_scope :premises (@p886) :args ((= @t78 @t75))) 19.22/19.44 ; WARNING: add trust step for MACRO_SR_PRED_ELIM 19.22/19.44 ; trust MACRO_SR_PRED_ELIM 19.22/19.44 (step @p47 :rule trust :premises (@p45) :args ((=> @t36 @t79))) 19.22/19.44 (step @p48 :rule implies_elim :premises (@p47)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p49 :rule trust :premises (@p48 @p13) :args (@t79)) 19.22/19.44 ; trust MACRO_SR_EQ_INTRO 19.22/19.44 (step @p50 :rule trust :premises () :args ((= @t34 @t80))) 19.22/19.44 (step @p51 :rule eq_resolve :premises (@p10 @p50)) 19.22/19.44 (assume-push @p52 @t80) 19.22/19.44 (step @p53 :rule instantiate :premises (@p51) :args ((@list @t72))) 19.22/19.44 (step-pop @p887 :rule scope :premises (@p53)) 19.22/19.44 (step @p54 :rule process_scope :premises (@p887) :args ((= @t82 @t81))) 19.22/19.44 ; trust MACRO_SR_PRED_ELIM 19.22/19.44 (step @p56 :rule trust :premises (@p54) :args ((=> @t80 @t83))) 19.22/19.44 (step @p57 :rule implies_elim :premises (@p56)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p58 :rule trust :premises (@p57 @p51) :args (@t83)) 19.22/19.44 ; trust MACRO_SR_EQ_INTRO 19.22/19.44 (step @p59 :rule trust :premises () :args ((= @t29 @t84))) 19.22/19.44 (step @p60 :rule eq_resolve :premises (@p8 @p59)) 19.22/19.44 (assume-push @p61 @t84) 19.22/19.44 (step @p62 :rule instantiate :premises (@p60) :args ((@list @t47 @t40))) 19.22/19.44 (step-pop @p888 :rule scope :premises (@p62)) 19.22/19.44 (step @p63 :rule process_scope :premises (@p888) :args ((= (= @t86 (+ @t85 @t43)) @t81))) 19.22/19.44 ; trust MACRO_SR_PRED_ELIM 19.22/19.44 (step @p65 :rule trust :premises (@p63) :args ((=> @t84 @t89))) 19.22/19.44 (step @p66 :rule implies_elim :premises (@p65)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p67 :rule trust :premises (@p66 @p60) :args (@t89)) 19.22/19.44 (step @p68 :rule cnf_equiv_pos2 :args (@t89)) 19.22/19.44 (step @p69 :rule reordering :premises (@p68) :args ((or @t81 @t91 @t90))) 19.22/19.44 (assume-push @p70 @t84) 19.22/19.44 (step @p71 :rule instantiate :premises (@p60) :args ((@list @t50 @t47))) 19.22/19.44 (step-pop @p889 :rule scope :premises (@p71)) 19.22/19.44 (step @p72 :rule process_scope :premises (@p889) :args ((= (= @t95 (+ @t94 @t85)) @t93))) 19.22/19.44 ; trust MACRO_SR_PRED_ELIM 19.22/19.44 (step @p74 :rule trust :premises (@p72) :args ((=> @t84 @t97))) 19.22/19.44 (step @p75 :rule implies_elim :premises (@p74)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p76 :rule trust :premises (@p75 @p60) :args (@t97)) 19.22/19.44 (assume-push @p77 @t80) 19.22/19.44 (step @p78 :rule instantiate :premises (@p51) :args ((@list @t92))) 19.22/19.44 (step-pop @p890 :rule scope :premises (@p78)) 19.22/19.44 (step @p79 :rule process_scope :premises (@p890) :args ((= @t99 @t93))) 19.22/19.44 ; trust MACRO_SR_PRED_ELIM 19.22/19.44 (step @p81 :rule trust :premises (@p79) :args ((=> @t80 @t100))) 19.22/19.44 (step @p82 :rule implies_elim :premises (@p81)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p83 :rule trust :premises (@p82 @p51) :args (@t100)) 19.22/19.44 (assume-push @p84 @t36) 19.22/19.44 (step @p85 :rule instantiate :premises (@p13) :args ((@list @t101 @t50 @t47))) 19.22/19.44 (step-pop @p891 :rule scope :premises (@p85)) 19.22/19.44 (step @p86 :rule process_scope :premises (@p891) :args ((= @t105 @t102))) 19.22/19.44 ; trust MACRO_SR_PRED_ELIM 19.22/19.44 (step @p88 :rule trust :premises (@p86) :args ((=> @t36 @t106))) 19.22/19.44 (step @p89 :rule implies_elim :premises (@p88)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p90 :rule trust :premises (@p89 @p13) :args (@t106)) 19.22/19.44 (step @p91 :rule cnf_and_pos :args (@t105 0)) 19.22/19.44 (step @p92 :rule reordering :premises (@p91) :args ((or @t104 @t107))) 19.22/19.44 (step @p93 :rule cnf_and_pos :args (@t105 1)) 19.22/19.44 (step @p94 :rule reordering :premises (@p93) :args ((or @t103 @t107))) 19.22/19.44 (assume-push @p95 @t21) 19.22/19.44 (step @p96 :rule instantiate :premises (@p6) :args ((@list @t101 @t46))) 19.22/19.44 (step-pop @p892 :rule scope :premises (@p96)) 19.22/19.44 (step @p97 :rule process_scope :premises (@p892) :args ((= (= @t101 @t46) @t104))) 19.22/19.44 ; trust MACRO_SR_PRED_ELIM 19.22/19.44 (step @p99 :rule trust :premises (@p97) :args ((=> @t21 @t109))) 19.22/19.44 (step @p100 :rule implies_elim :premises (@p99)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p101 :rule trust :premises (@p100 @p6) :args (@t109)) 19.22/19.44 (step @p102 :rule cnf_equiv_pos1 :args (@t109)) 19.22/19.44 (step @p103 :rule reordering :premises (@p102) :args ((or (not @t104) @t108 (not @t109)))) 19.22/19.44 (step @p104 :rule instantiate :premises (@p5) :args ((@list @t101 @t40 @t49))) 19.22/19.44 (step @p105 :rule cnf_equiv_pos1 :args (@t113)) 19.22/19.44 (step @p106 :rule reordering :premises (@p105) :args ((or (not @t103) @t112 (not @t113)))) 19.22/19.44 (step @p107 :rule cnf_or_pos :args (@t112)) 19.22/19.44 (step @p108 :rule reordering :premises (@p107) :args ((or @t111 @t110 (not @t112)))) 19.22/19.44 (assume-push @p109 @t21) 19.22/19.44 (step @p110 :rule instantiate :premises (@p6) :args ((@list @t101 @t48))) 19.22/19.44 (step-pop @p893 :rule scope :premises (@p110)) 19.22/19.44 (step @p111 :rule process_scope :premises (@p893) :args ((= (= @t101 @t48) @t111))) 19.22/19.44 ; trust MACRO_SR_PRED_ELIM 19.22/19.44 (step @p113 :rule trust :premises (@p111) :args ((=> @t21 @t115))) 19.22/19.44 (step @p114 :rule implies_elim :premises (@p113)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p115 :rule trust :premises (@p114 @p6) :args (@t115)) 19.22/19.44 (step @p116 :rule cnf_equiv_pos1 :args (@t115)) 19.22/19.44 (step @p117 :rule reordering :premises (@p116) :args ((or (not @t111) @t114 (not @t115)))) 19.22/19.44 (assume-push @p118 @t21) 19.22/19.44 (step @p119 :rule instantiate :premises (@p6) :args ((@list @t46 @t48))) 19.22/19.44 (step-pop @p894 :rule scope :premises (@p119)) 19.22/19.44 (step @p120 :rule process_scope :premises (@p894) :args ((= (= @t46 @t48) @t65))) 19.22/19.44 ; trust MACRO_SR_PRED_ELIM 19.22/19.44 (step @p122 :rule trust :premises (@p120) :args ((=> @t21 @t117))) 19.22/19.44 (step @p123 :rule implies_elim :premises (@p122)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p124 :rule trust :premises (@p123 @p6) :args (@t117)) 19.22/19.44 (step @p125 :rule cnf_or_neg :args (@t66 0)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p126 :rule trust :premises (@p125 @p37) :args ((not @t65))) 19.22/19.44 (step @p127 :rule cnf_equiv_pos2 :args (@t117)) 19.22/19.44 (step @p128 :rule reordering :premises (@p127) :args ((or @t65 @t118 (not @t117)))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p129 :rule trust :premises (@p128 @p126 @p124) :args (@t118)) 19.22/19.44 (step @p130 :rule refl :args (@t119)) 19.22/19.44 (step @p131 :rule refl :args ((not @t108))) 19.22/19.44 ; trust MACRO_SR_PRED_INTRO 19.22/19.44 (step @p132 :rule trust :premises () :args ((= (not @t118) @t116))) 19.22/19.44 (step @p133 :rule nary_cong :premises (@p132 @p131 @p130) :args (or)) 19.22/19.44 (assume-push @p134 @t118) 19.22/19.44 (assume-push @p135 @t108) 19.22/19.44 (assume-push @p136 @t118) 19.22/19.44 (assume-push @p137 @t108) 19.22/19.44 (step @p138 :rule false_intro :premises (@p129)) 19.22/19.44 (step @p139 :rule symm :premises (@p135)) 19.22/19.44 (step @p140 :rule refl :args (@t48)) 19.22/19.44 (step @p141 :rule cong :premises (@p140 @p139) :args (=)) 19.22/19.44 (step @p142 :rule trans :premises (@p141 @p138)) 19.22/19.44 (step @p143 :rule false_elim :premises (@p142)) 19.22/19.44 (step-pop @p895 :rule scope :premises (@p143)) 19.22/19.44 (step-pop @p896 :rule scope :premises (@p895)) 19.22/19.44 (step @p144 :rule process_scope :premises (@p896) :args (@t119)) 19.22/19.44 (step @p147 :rule and_intro :premises (@p129 @p135)) 19.22/19.44 (step @p148 :rule modus_ponens :premises (@p147 @p144)) 19.22/19.44 (step-pop @p897 :rule scope :premises (@p148)) 19.22/19.44 (step-pop @p898 :rule scope :premises (@p897)) 19.22/19.44 (step @p149 :rule process_scope :premises (@p898) :args (@t119)) 19.22/19.44 (step @p152 :rule implies_elim :premises (@p149)) 19.22/19.44 (step @p153 :rule cnf_and_neg :args (@t120)) 19.22/19.44 (step @p154 :rule resolution :premises (@p153 @p152) :args (true @t120)) 19.22/19.44 (step @p155 :rule eq_resolve :premises (@p154 @p133)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p156 :rule trust :premises (@p155 @p129 @p117 @p115 @p108 @p106 @p104 @p103 @p101 @p94 @p92) :args ((or @t107 @t110))) 19.22/19.44 ; trust MACRO_SR_PRED_INTRO 19.22/19.44 (step @p157 :rule trust :premises () :args ((= (not @t124) @t123))) 19.22/19.44 (step @p158 :rule refl :args (@t126)) 19.22/19.44 (step @p159 :rule nary_cong :premises (@p158 @p157) :args (or)) 19.22/19.44 (step @p160 :rule cnf_or_neg :args (@t126 0)) 19.22/19.44 (step @p161 :rule eq_resolve :premises (@p160 @p159)) 19.22/19.44 (step @p162 :rule reordering :premises (@p161) :args ((or @t123 @t126))) 19.22/19.44 (step @p163 :rule cnf_or_neg :args (@t126 1)) 19.22/19.44 (step @p164 :rule instantiate :premises (@p30) :args ((@list @t122))) 19.22/19.44 (step @p165 :rule cnf_or_pos :args (@t128)) 19.22/19.44 (step @p166 :rule reordering :premises (@p165) :args ((or @t124 @t127 (not @t128)))) 19.22/19.44 (step @p167 :rule instantiate :premises (@p5) :args ((@list @t122 @t39 @t49))) 19.22/19.44 (step @p168 :rule cnf_equiv_pos2 :args (@t130)) 19.22/19.44 (step @p169 :rule reordering :premises (@p168) :args ((or @t125 (not @t129) (not @t130)))) 19.22/19.44 (step @p170 :rule cnf_or_neg :args (@t129 1)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p171 :rule trust :premises (@p170 @p169 @p167 @p166 @p164 @p163 @p162) :args (@t126)) 19.22/19.44 (step @p172 :rule refl :args (@t131)) 19.22/19.44 ; trust MACRO_SR_PRED_INTRO 19.22/19.44 (step @p173 :rule trust :premises () :args ((= (not @t133) @t132))) 19.22/19.44 (step @p174 :rule nary_cong :premises (@p173 @p172) :args (or)) 19.22/19.44 (assume-push @p175 @t133) 19.22/19.44 (step @p176 :rule skolemize :premises (@p175)) 19.22/19.44 (step-pop @p899 :rule scope :premises (@p176)) 19.22/19.44 (step @p177 :rule process_scope :premises (@p899) :args (@t131)) 19.22/19.44 (step @p179 :rule implies_elim :premises (@p177)) 19.22/19.44 (step @p180 :rule eq_resolve :premises (@p179 @p174)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p181 :rule trust :premises (@p180 @p171) :args (@t132)) 19.22/19.44 (assume-push @p182 @t132) 19.22/19.44 (step @p183 :rule instantiate :premises (@p182) :args ((@list @t101))) 19.22/19.44 (step-pop @p900 :rule scope :premises (@p183)) 19.22/19.44 (step @p184 :rule process_scope :premises (@p900) :args (@t136)) 19.22/19.44 (step @p186 :rule implies_elim :premises (@p184)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p187 :rule trust :premises (@p186 @p181) :args (@t136)) 19.22/19.44 (step @p188 :rule cnf_or_pos :args (@t136)) 19.22/19.44 (step @p189 :rule reordering :premises (@p188) :args ((or @t135 @t134 (not @t136)))) 19.22/19.44 (step @p190 :rule refl :args (@t137)) 19.22/19.44 ; trust MACRO_SR_PRED_INTRO 19.22/19.44 (step @p191 :rule trust :premises () :args ((= (not @t63) @t56))) 19.22/19.44 (step @p192 :rule nary_cong :premises (@p191 @p131 @p190) :args (or)) 19.22/19.44 (assume-push @p193 @t63) 19.22/19.44 (assume-push @p194 @t108) 19.22/19.44 (assume-push @p195 @t63) 19.22/19.44 (assume-push @p196 @t108) 19.22/19.44 (step @p197 :rule false_intro :premises (@p34)) 19.22/19.44 (step @p198 :rule refl :args (@t55)) 19.22/19.44 (step @p199 :rule symm :premises (@p135)) 19.22/19.44 (step @p200 :rule cong :premises (@p199 @p198) :args (tptp.member)) 19.22/19.44 (step @p201 :rule trans :premises (@p200 @p197)) 19.22/19.44 (step @p202 :rule false_elim :premises (@p201)) 19.22/19.44 (step-pop @p901 :rule scope :premises (@p202)) 19.22/19.44 (step-pop @p902 :rule scope :premises (@p901)) 19.22/19.44 (step @p203 :rule process_scope :premises (@p902) :args (@t137)) 19.22/19.44 (step @p206 :rule and_intro :premises (@p34 @p135)) 19.22/19.44 (step @p207 :rule modus_ponens :premises (@p206 @p203)) 19.22/19.44 (step-pop @p903 :rule scope :premises (@p207)) 19.22/19.44 (step-pop @p904 :rule scope :premises (@p903)) 19.22/19.44 (step @p208 :rule process_scope :premises (@p904) :args (@t137)) 19.22/19.44 (step @p211 :rule implies_elim :premises (@p208)) 19.22/19.44 (step @p212 :rule cnf_and_neg :args (@t138)) 19.22/19.44 (step @p213 :rule resolution :premises (@p212 @p211) :args (true @t138)) 19.22/19.44 (step @p214 :rule eq_resolve :premises (@p213 @p192)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p215 :rule trust :premises (@p214 @p34 @p189 @p187 @p103 @p101 @p156 @p92) :args (@t107)) 19.22/19.44 (step @p216 :rule cnf_equiv_pos1 :args (@t106)) 19.22/19.44 (step @p217 :rule reordering :premises (@p216) :args ((or @t139 @t105 (not @t106)))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p218 :rule trust :premises (@p217 @p215 @p90) :args (@t139)) 19.22/19.44 (step @p219 :rule refl :args (@t102)) 19.22/19.44 ; trust MACRO_SR_PRED_INTRO 19.22/19.44 (step @p220 :rule trust :premises () :args ((= (not @t140) @t99))) 19.22/19.44 (step @p221 :rule nary_cong :premises (@p220 @p219) :args (or)) 19.22/19.44 ; WARNING: add trust step for MACRO_REWRITE 19.22/19.44 ; trust MACRO_REWRITE 19.22/19.44 (step @p222 :rule trust :premises () :args ((= (=> @t140 @t141) (=> @t140 @t102)))) 19.22/19.44 (assume-push @p223 @t140) 19.22/19.44 (step @p224 :rule skolemize :premises (@p223)) 19.22/19.44 (step-pop @p905 :rule scope :premises (@p224)) 19.22/19.44 (step @p225 :rule process_scope :premises (@p905) :args (@t141)) 19.22/19.44 (step @p227 :rule eq_resolve :premises (@p225 @p222)) 19.22/19.44 (step @p228 :rule implies_elim :premises (@p227)) 19.22/19.44 (step @p229 :rule eq_resolve :premises (@p228 @p221)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p230 :rule trust :premises (@p229 @p218) :args (@t99)) 19.22/19.44 (step @p231 :rule cnf_equiv_pos2 :args (@t100)) 19.22/19.44 (step @p232 :rule reordering :premises (@p231) :args ((or @t93 @t140 (not @t100)))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p233 :rule trust :premises (@p232 @p230 @p83) :args (@t93)) 19.22/19.44 (step @p234 :rule cnf_equiv_pos1 :args (@t97)) 19.22/19.44 (step @p235 :rule reordering :premises (@p234) :args ((or @t96 (not @t93) (not @t97)))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p236 :rule trust :premises (@p235 @p233 @p76) :args (@t96)) 19.22/19.44 (step @p237 :rule instantiate :premises (@p60) :args ((@list @t51 @t45))) 19.22/19.44 (assume-push @p238 @t80) 19.22/19.44 (step @p239 :rule instantiate :premises (@p51) :args ((@list @t142))) 19.22/19.44 (step-pop @p906 :rule scope :premises (@p239)) 19.22/19.44 (step @p240 :rule process_scope :premises (@p906) :args ((= @t145 @t143))) 19.22/19.44 ; trust MACRO_SR_PRED_ELIM 19.22/19.44 (step @p242 :rule trust :premises (@p240) :args ((=> @t80 @t146))) 19.22/19.44 (step @p243 :rule implies_elim :premises (@p242)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p244 :rule trust :premises (@p243 @p51) :args (@t146)) 19.22/19.44 (assume-push @p245 @t36) 19.22/19.44 (step @p246 :rule instantiate :premises (@p13) :args ((@list @t147 @t51 @t45))) 19.22/19.44 (step-pop @p907 :rule scope :premises (@p246)) 19.22/19.44 (step @p247 :rule process_scope :premises (@p907) :args ((= @t151 @t148))) 19.22/19.44 ; trust MACRO_SR_PRED_ELIM 19.22/19.44 (step @p249 :rule trust :premises (@p247) :args ((=> @t36 @t152))) 19.22/19.44 (step @p250 :rule implies_elim :premises (@p249)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p251 :rule trust :premises (@p250 @p13) :args (@t152)) 19.22/19.44 (step @p252 :rule cnf_and_pos :args (@t151 0)) 19.22/19.44 (step @p253 :rule reordering :premises (@p252) :args ((or @t150 @t153))) 19.22/19.44 (step @p254 :rule cnf_and_pos :args (@t151 1)) 19.22/19.44 (step @p255 :rule reordering :premises (@p254) :args ((or @t149 @t153))) 19.22/19.44 (assume-push @p256 @t21) 19.22/19.44 (step @p257 :rule instantiate :premises (@p6) :args ((@list @t147 @t44))) 19.22/19.44 (step-pop @p908 :rule scope :premises (@p257)) 19.22/19.44 (step @p258 :rule process_scope :premises (@p908) :args ((= (= @t147 @t44) @t150))) 19.22/19.44 ; trust MACRO_SR_PRED_ELIM 19.22/19.44 (step @p260 :rule trust :premises (@p258) :args ((=> @t21 @t155))) 19.22/19.44 (step @p261 :rule implies_elim :premises (@p260)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p262 :rule trust :premises (@p261 @p6) :args (@t155)) 19.22/19.44 (step @p263 :rule cnf_equiv_pos1 :args (@t155)) 19.22/19.44 (step @p264 :rule reordering :premises (@p263) :args ((or (not @t150) @t154 (not @t155)))) 19.22/19.44 (step @p265 :rule instantiate :premises (@p5) :args ((@list @t147 @t50 @t47))) 19.22/19.44 (step @p266 :rule cnf_equiv_pos1 :args (@t159)) 19.22/19.44 (step @p267 :rule reordering :premises (@p266) :args ((or (not @t149) @t158 (not @t159)))) 19.22/19.44 (step @p268 :rule instantiate :premises (@p5) :args ((@list @t44 @t55 @t47))) 19.22/19.44 (step @p269 :rule cnf_or_neg :args (@t59 0)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p270 :rule trust :premises (@p269 @p20) :args (@t160)) 19.22/19.44 (step @p271 :rule cnf_equiv_pos2 :args (@t164)) 19.22/19.44 (step @p272 :rule reordering :premises (@p271) :args ((or @t58 @t165 (not @t164)))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p273 :rule trust :premises (@p272 @p270 @p268) :args (@t165)) 19.22/19.44 (step @p274 :rule cnf_or_neg :args (@t163 0)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p275 :rule trust :premises (@p274 @p273) :args (@t166)) 19.22/19.44 (step @p276 :rule refl :args (@t167)) 19.22/19.44 (step @p277 :rule refl :args (@t168)) 19.22/19.44 ; trust MACRO_SR_PRED_INTRO 19.22/19.44 (step @p278 :rule trust :premises () :args ((= (not @t166) @t162))) 19.22/19.44 (step @p279 :rule nary_cong :premises (@p278 @p277 @p276) :args (or)) 19.22/19.44 (assume-push @p280 @t166) 19.22/19.44 (assume-push @p281 @t154) 19.22/19.44 (assume-push @p282 @t166) 19.22/19.44 (assume-push @p283 @t154) 19.22/19.44 (step @p284 :rule false_intro :premises (@p275)) 19.22/19.44 (step @p285 :rule refl :args (@t47)) 19.22/19.44 (step @p286 :rule symm :premises (@p281)) 19.22/19.44 (step @p287 :rule cong :premises (@p286 @p285) :args (tptp.member)) 19.22/19.44 (step @p288 :rule trans :premises (@p287 @p284)) 19.22/19.44 (step @p289 :rule false_elim :premises (@p288)) 19.22/19.44 (step-pop @p909 :rule scope :premises (@p289)) 19.22/19.44 (step-pop @p910 :rule scope :premises (@p909)) 19.22/19.44 (step @p290 :rule process_scope :premises (@p910) :args (@t167)) 19.22/19.44 (step @p293 :rule and_intro :premises (@p275 @p281)) 19.22/19.44 (step @p294 :rule modus_ponens :premises (@p293 @p290)) 19.22/19.44 (step-pop @p911 :rule scope :premises (@p294)) 19.22/19.44 (step-pop @p912 :rule scope :premises (@p911)) 19.22/19.44 (step @p295 :rule process_scope :premises (@p912) :args (@t167)) 19.22/19.44 (step @p298 :rule implies_elim :premises (@p295)) 19.22/19.44 (step @p299 :rule cnf_and_neg :args (@t169)) 19.22/19.44 (step @p300 :rule resolution :premises (@p299 @p298) :args (true @t169)) 19.22/19.44 (step @p301 :rule eq_resolve :premises (@p300 @p279)) 19.22/19.44 (step @p302 :rule reordering :premises (@p301) :args ((or @t162 @t167 @t168))) 19.22/19.44 (step @p303 :rule instantiate :premises (@p5) :args ((@list @t44 @t39 @t49))) 19.22/19.44 (step @p304 :rule cnf_or_neg :args (@t163 1)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p305 :rule trust :premises (@p304 @p273) :args ((not @t161))) 19.22/19.44 (step @p306 :rule cnf_equiv_pos2 :args (@t172)) 19.22/19.44 (step @p307 :rule reordering :premises (@p306) :args ((or @t161 @t173 (not @t172)))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p308 :rule trust :premises (@p307 @p305 @p303) :args (@t173)) 19.22/19.44 (step @p309 :rule cnf_or_neg :args (@t171 0)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p310 :rule trust :premises (@p309 @p308) :args (@t174)) 19.22/19.44 (step @p311 :rule refl :args (@t176)) 19.22/19.44 ; trust MACRO_SR_PRED_INTRO 19.22/19.44 (step @p312 :rule trust :premises () :args ((= (not @t174) @t170))) 19.22/19.44 (step @p313 :rule nary_cong :premises (@p312 @p277 @p311) :args (or)) 19.22/19.44 (assume-push @p314 @t174) 19.22/19.44 (assume-push @p315 @t154) 19.22/19.44 (assume-push @p316 @t174) 19.22/19.44 (assume-push @p317 @t154) 19.22/19.44 (step @p318 :rule false_intro :premises (@p310)) 19.22/19.44 (step @p319 :rule refl :args (@t49)) 19.22/19.44 (step @p320 :rule symm :premises (@p281)) 19.22/19.44 (step @p321 :rule cong :premises (@p320 @p319) :args (tptp.member)) 19.22/19.44 (step @p322 :rule trans :premises (@p321 @p318)) 19.22/19.44 (step @p323 :rule false_elim :premises (@p322)) 19.22/19.44 (step-pop @p913 :rule scope :premises (@p323)) 19.22/19.44 (step-pop @p914 :rule scope :premises (@p913)) 19.22/19.44 (step @p324 :rule process_scope :premises (@p914) :args (@t176)) 19.22/19.44 (step @p327 :rule and_intro :premises (@p310 @p281)) 19.22/19.44 (step @p328 :rule modus_ponens :premises (@p327 @p324)) 19.22/19.44 (step-pop @p915 :rule scope :premises (@p328)) 19.22/19.44 (step-pop @p916 :rule scope :premises (@p915)) 19.22/19.44 (step @p329 :rule process_scope :premises (@p916) :args (@t176)) 19.22/19.44 (step @p332 :rule implies_elim :premises (@p329)) 19.22/19.44 (step @p333 :rule cnf_and_neg :args (@t177)) 19.22/19.44 (step @p334 :rule resolution :premises (@p333 @p332) :args (true @t177)) 19.22/19.44 (step @p335 :rule eq_resolve :premises (@p334 @p313)) 19.22/19.44 (step @p336 :rule cnf_or_pos :args (@t158)) 19.22/19.44 (step @p337 :rule reordering :premises (@p336) :args ((or @t157 @t156 (not @t158)))) 19.22/19.44 (step @p338 :rule instantiate :premises (@p5) :args ((@list @t147 @t40 @t49))) 19.22/19.44 (step @p339 :rule cnf_equiv_pos1 :args (@t180)) 19.22/19.44 (step @p340 :rule reordering :premises (@p339) :args ((or (not @t156) @t179 (not @t180)))) 19.22/19.44 (step @p341 :rule cnf_or_pos :args (@t179)) 19.22/19.44 (step @p342 :rule reordering :premises (@p341) :args ((or @t175 @t178 (not @t179)))) 19.22/19.44 ; trust MACRO_SR_PRED_INTRO 19.22/19.44 (step @p343 :rule trust :premises () :args ((= (not @t184) @t183))) 19.22/19.44 (step @p344 :rule refl :args (@t186)) 19.22/19.44 (step @p345 :rule nary_cong :premises (@p344 @p343) :args (or)) 19.22/19.44 (step @p346 :rule cnf_or_neg :args (@t186 0)) 19.22/19.44 (step @p347 :rule eq_resolve :premises (@p346 @p345)) 19.22/19.44 (step @p348 :rule reordering :premises (@p347) :args ((or @t183 @t186))) 19.22/19.44 (step @p349 :rule cnf_or_neg :args (@t186 1)) 19.22/19.44 (assume-push @p350 @t132) 19.22/19.44 (step @p351 :rule instantiate :premises (@p182) :args ((@list @t182))) 19.22/19.44 (step-pop @p917 :rule scope :premises (@p351)) 19.22/19.44 (step @p352 :rule process_scope :premises (@p917) :args (@t188)) 19.22/19.44 (step @p354 :rule implies_elim :premises (@p352)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p355 :rule trust :premises (@p354 @p181) :args (@t188)) 19.22/19.44 (step @p356 :rule cnf_or_pos :args (@t188)) 19.22/19.44 (step @p357 :rule reordering :premises (@p356) :args ((or @t184 @t187 (not @t188)))) 19.22/19.44 (step @p358 :rule instantiate :premises (@p5) :args ((@list @t182 @t55 @t47))) 19.22/19.44 (step @p359 :rule cnf_equiv_pos2 :args (@t190)) 19.22/19.44 (step @p360 :rule reordering :premises (@p359) :args ((or @t185 (not @t189) (not @t190)))) 19.22/19.44 (step @p361 :rule cnf_or_neg :args (@t189 1)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p362 :rule trust :premises (@p361 @p360 @p358 @p357 @p355 @p349 @p348) :args (@t186)) 19.22/19.44 (step @p363 :rule refl :args (@t191)) 19.22/19.44 ; trust MACRO_SR_PRED_INTRO 19.22/19.44 (step @p364 :rule trust :premises () :args ((= (not @t193) @t192))) 19.22/19.44 (step @p365 :rule nary_cong :premises (@p364 @p363) :args (or)) 19.22/19.44 (assume-push @p366 @t193) 19.22/19.44 (step @p367 :rule skolemize :premises (@p366)) 19.22/19.44 (step-pop @p918 :rule scope :premises (@p367)) 19.22/19.44 (step @p368 :rule process_scope :premises (@p918) :args (@t191)) 19.22/19.44 (step @p370 :rule implies_elim :premises (@p368)) 19.22/19.44 (step @p371 :rule eq_resolve :premises (@p370 @p365)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p372 :rule trust :premises (@p371 @p362) :args (@t192)) 19.22/19.44 (assume-push @p373 @t192) 19.22/19.44 (step @p374 :rule instantiate :premises (@p373) :args ((@list @t147))) 19.22/19.44 (step-pop @p919 :rule scope :premises (@p374)) 19.22/19.44 (step @p375 :rule process_scope :premises (@p919) :args (@t196)) 19.22/19.44 (step @p377 :rule implies_elim :premises (@p375)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p378 :rule trust :premises (@p377 @p372) :args (@t196)) 19.22/19.44 (step @p379 :rule cnf_or_pos :args (@t196)) 19.22/19.44 (step @p380 :rule reordering :premises (@p379) :args ((or @t195 @t194 (not @t196)))) 19.22/19.44 (step @p381 :rule refl :args (@t197)) 19.22/19.44 ; trust MACRO_SR_PRED_INTRO 19.22/19.44 (step @p382 :rule trust :premises () :args ((= (not @t160) @t58))) 19.22/19.44 (step @p383 :rule nary_cong :premises (@p382 @p277 @p381) :args (or)) 19.22/19.44 (assume-push @p384 @t160) 19.22/19.44 (assume-push @p385 @t154) 19.22/19.44 (assume-push @p386 @t160) 19.22/19.44 (assume-push @p387 @t154) 19.22/19.44 (step @p388 :rule false_intro :premises (@p270)) 19.22/19.44 (step @p389 :rule refl :args (@t57)) 19.22/19.44 (step @p390 :rule symm :premises (@p281)) 19.22/19.44 (step @p391 :rule cong :premises (@p390 @p389) :args (tptp.member)) 19.22/19.44 (step @p392 :rule trans :premises (@p391 @p388)) 19.22/19.44 (step @p393 :rule false_elim :premises (@p392)) 19.22/19.44 (step-pop @p920 :rule scope :premises (@p393)) 19.22/19.44 (step-pop @p921 :rule scope :premises (@p920)) 19.22/19.44 (step @p394 :rule process_scope :premises (@p921) :args (@t197)) 19.22/19.44 (step @p397 :rule and_intro :premises (@p270 @p281)) 19.22/19.44 (step @p398 :rule modus_ponens :premises (@p397 @p394)) 19.22/19.44 (step-pop @p922 :rule scope :premises (@p398)) 19.22/19.44 (step-pop @p923 :rule scope :premises (@p922)) 19.22/19.44 (step @p399 :rule process_scope :premises (@p923) :args (@t197)) 19.22/19.44 (step @p402 :rule implies_elim :premises (@p399)) 19.22/19.44 (step @p403 :rule cnf_and_neg :args (@t198)) 19.22/19.44 (step @p404 :rule resolution :premises (@p403 @p402) :args (true @t198)) 19.22/19.44 (step @p405 :rule eq_resolve :premises (@p404 @p383)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p406 :rule trust :premises (@p405 @p270 @p380 @p378 @p342 @p340 @p338 @p337 @p335 @p310 @p302 @p275 @p267 @p265 @p264 @p262 @p255 @p253) :args (@t153)) 19.22/19.44 (step @p407 :rule cnf_equiv_pos1 :args (@t152)) 19.22/19.44 (step @p408 :rule reordering :premises (@p407) :args ((or @t199 @t151 (not @t152)))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p409 :rule trust :premises (@p408 @p406 @p251) :args (@t199)) 19.22/19.44 (step @p410 :rule refl :args (@t148)) 19.22/19.44 ; trust MACRO_SR_PRED_INTRO 19.22/19.44 (step @p411 :rule trust :premises () :args ((= (not @t200) @t145))) 19.22/19.44 (step @p412 :rule nary_cong :premises (@p411 @p410) :args (or)) 19.22/19.44 ; trust MACRO_REWRITE 19.22/19.44 (step @p413 :rule trust :premises () :args ((= (=> @t200 @t201) (=> @t200 @t148)))) 19.22/19.44 (assume-push @p414 @t200) 19.22/19.44 (step @p415 :rule skolemize :premises (@p414)) 19.22/19.44 (step-pop @p924 :rule scope :premises (@p415)) 19.22/19.44 (step @p416 :rule process_scope :premises (@p924) :args (@t201)) 19.22/19.44 (step @p418 :rule eq_resolve :premises (@p416 @p413)) 19.22/19.44 (step @p419 :rule implies_elim :premises (@p418)) 19.22/19.44 (step @p420 :rule eq_resolve :premises (@p419 @p412)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p421 :rule trust :premises (@p420 @p409) :args (@t145)) 19.22/19.44 (step @p422 :rule cnf_equiv_pos2 :args (@t146)) 19.22/19.44 (step @p423 :rule reordering :premises (@p422) :args ((or @t143 @t200 (not @t146)))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p424 :rule trust :premises (@p423 @p421 @p244) :args (@t143)) 19.22/19.44 (step @p425 :rule cnf_equiv_pos2 :args (@t204)) 19.22/19.44 (step @p426 :rule reordering :premises (@p425) :args ((or @t203 (not @t143) (not @t204)))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p427 :rule trust :premises (@p426 @p424 @p237) :args (@t203)) 19.22/19.44 (step @p428 :rule cnf_or_neg :args (@t59 4)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p429 :rule trust :premises (@p428 @p20) :args (@t205)) 19.22/19.44 (assume-push @p430 @t84) 19.22/19.44 (step @p431 :rule instantiate :premises (@p60) :args ((@list @t40 @t49))) 19.22/19.44 (step-pop @p925 :rule scope :premises (@p431)) 19.22/19.44 (step @p432 :rule process_scope :premises (@p925) :args ((= (= @t94 (+ @t43 @t208)) @t207))) 19.22/19.44 ; trust MACRO_SR_PRED_ELIM 19.22/19.44 (step @p434 :rule trust :premises (@p432) :args ((=> @t84 @t210))) 19.22/19.44 (step @p435 :rule implies_elim :premises (@p434)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p436 :rule trust :premises (@p435 @p60) :args (@t210)) 19.22/19.44 (assume-push @p437 @t80) 19.22/19.44 (step @p438 :rule instantiate :premises (@p51) :args ((@list @t206))) 19.22/19.44 (step-pop @p926 :rule scope :premises (@p438)) 19.22/19.44 (step @p439 :rule process_scope :premises (@p926) :args ((= @t212 @t207))) 19.22/19.44 ; trust MACRO_SR_PRED_ELIM 19.22/19.44 (step @p441 :rule trust :premises (@p439) :args ((=> @t80 @t213))) 19.22/19.44 (step @p442 :rule implies_elim :premises (@p441)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p443 :rule trust :premises (@p442 @p51) :args (@t213)) 19.22/19.44 (assume-push @p444 @t36) 19.22/19.44 (step @p445 :rule instantiate :premises (@p13) :args ((@list @t214 @t40 @t49))) 19.22/19.44 (step-pop @p927 :rule scope :premises (@p445)) 19.22/19.44 (step @p446 :rule process_scope :premises (@p927) :args ((= @t218 @t215))) 19.22/19.44 ; trust MACRO_SR_PRED_ELIM 19.22/19.44 (step @p448 :rule trust :premises (@p446) :args ((=> @t36 @t219))) 19.22/19.44 (step @p449 :rule implies_elim :premises (@p448)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p450 :rule trust :premises (@p449 @p13) :args (@t219)) 19.22/19.44 (step @p451 :rule cnf_and_pos :args (@t218 0)) 19.22/19.44 (step @p452 :rule reordering :premises (@p451) :args ((or @t217 @t220))) 19.22/19.44 (step @p453 :rule cnf_and_pos :args (@t218 1)) 19.22/19.44 (step @p454 :rule reordering :premises (@p453) :args ((or @t216 @t220))) 19.22/19.44 (assume-push @p455 @t21) 19.22/19.44 (step @p456 :rule instantiate :premises (@p6) :args ((@list @t214 @t48))) 19.22/19.44 (step-pop @p928 :rule scope :premises (@p456)) 19.22/19.44 (step @p457 :rule process_scope :premises (@p928) :args ((= (= @t214 @t48) @t217))) 19.22/19.44 ; trust MACRO_SR_PRED_ELIM 19.22/19.44 (step @p459 :rule trust :premises (@p457) :args ((=> @t21 @t222))) 19.22/19.44 (step @p460 :rule implies_elim :premises (@p459)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p461 :rule trust :premises (@p460 @p6) :args (@t222)) 19.22/19.44 (step @p462 :rule cnf_equiv_pos1 :args (@t222)) 19.22/19.44 (step @p463 :rule reordering :premises (@p462) :args ((or (not @t217) @t221 (not @t222)))) 19.22/19.44 (step @p464 :rule instantiate :premises (@p30) :args ((@list @t214))) 19.22/19.44 (step @p465 :rule cnf_or_pos :args (@t225)) 19.22/19.44 (step @p466 :rule reordering :premises (@p465) :args ((or @t224 @t223 (not @t225)))) 19.22/19.44 (step @p467 :rule cnf_or_neg :args (@t59 2)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p468 :rule trust :premises (@p467 @p20) :args (@t226)) 19.22/19.44 (step @p469 :rule refl :args (@t227)) 19.22/19.44 (step @p470 :rule refl :args ((not @t221))) 19.22/19.44 ; trust MACRO_SR_PRED_INTRO 19.22/19.44 (step @p471 :rule trust :premises () :args ((= (not @t226) @t54))) 19.22/19.44 (step @p472 :rule nary_cong :premises (@p471 @p470 @p469) :args (or)) 19.22/19.44 (assume-push @p473 @t226) 19.22/19.44 (assume-push @p474 @t221) 19.22/19.44 (assume-push @p475 @t226) 19.22/19.44 (assume-push @p476 @t221) 19.22/19.44 (step @p477 :rule false_intro :premises (@p468)) 19.22/19.44 (step @p478 :rule refl :args (@t39)) 19.22/19.44 (step @p479 :rule symm :premises (@p474)) 19.22/19.44 (step @p480 :rule cong :premises (@p479 @p478) :args (tptp.member)) 19.22/19.44 (step @p481 :rule trans :premises (@p480 @p477)) 19.22/19.44 (step @p482 :rule false_elim :premises (@p481)) 19.22/19.44 (step-pop @p929 :rule scope :premises (@p482)) 19.22/19.44 (step-pop @p930 :rule scope :premises (@p929)) 19.22/19.44 (step @p483 :rule process_scope :premises (@p930) :args (@t227)) 19.22/19.44 (step @p486 :rule and_intro :premises (@p468 @p474)) 19.22/19.44 (step @p487 :rule modus_ponens :premises (@p486 @p483)) 19.22/19.44 (step-pop @p931 :rule scope :premises (@p487)) 19.22/19.44 (step-pop @p932 :rule scope :premises (@p931)) 19.22/19.44 (step @p488 :rule process_scope :premises (@p932) :args (@t227)) 19.22/19.44 (step @p491 :rule implies_elim :premises (@p488)) 19.22/19.44 (step @p492 :rule cnf_and_neg :args (@t228)) 19.22/19.44 (step @p493 :rule resolution :premises (@p492 @p491) :args (true @t228)) 19.22/19.44 (step @p494 :rule eq_resolve :premises (@p493 @p472)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p495 :rule trust :premises (@p494 @p468 @p466 @p464 @p463 @p461 @p454 @p452) :args (@t220)) 19.22/19.44 (step @p496 :rule cnf_equiv_pos1 :args (@t219)) 19.22/19.44 (step @p497 :rule reordering :premises (@p496) :args ((or @t229 @t218 (not @t219)))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p498 :rule trust :premises (@p497 @p495 @p450) :args (@t229)) 19.22/19.44 (step @p499 :rule refl :args (@t215)) 19.22/19.44 ; trust MACRO_SR_PRED_INTRO 19.22/19.44 (step @p500 :rule trust :premises () :args ((= (not @t230) @t212))) 19.22/19.44 (step @p501 :rule nary_cong :premises (@p500 @p499) :args (or)) 19.22/19.44 ; trust MACRO_REWRITE 19.22/19.44 (step @p502 :rule trust :premises () :args ((= (=> @t230 @t231) (=> @t230 @t215)))) 19.22/19.44 (assume-push @p503 @t230) 19.22/19.44 (step @p504 :rule skolemize :premises (@p503)) 19.22/19.44 (step-pop @p933 :rule scope :premises (@p504)) 19.22/19.44 (step @p505 :rule process_scope :premises (@p933) :args (@t231)) 19.22/19.44 (step @p507 :rule eq_resolve :premises (@p505 @p502)) 19.22/19.44 (step @p508 :rule implies_elim :premises (@p507)) 19.22/19.44 (step @p509 :rule eq_resolve :premises (@p508 @p501)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p510 :rule trust :premises (@p509 @p498) :args (@t212)) 19.22/19.44 (step @p511 :rule cnf_equiv_pos2 :args (@t213)) 19.22/19.44 (step @p512 :rule reordering :premises (@p511) :args ((or @t207 @t230 (not @t213)))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p513 :rule trust :premises (@p512 @p510 @p443) :args (@t207)) 19.22/19.44 (step @p514 :rule cnf_equiv_pos1 :args (@t210)) 19.22/19.44 (step @p515 :rule reordering :premises (@p514) :args ((or @t209 (not @t207) (not @t210)))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p516 :rule trust :premises (@p515 @p513 @p436) :args (@t209)) 19.22/19.44 (assume-push @p517 @t84) 19.22/19.44 (step @p518 :rule instantiate :premises (@p60) :args ((@list @t49 tptp.empty_set))) 19.22/19.44 (step-pop @p934 :rule scope :premises (@p518)) 19.22/19.44 (step @p519 :rule process_scope :premises (@p934) :args ((= (= @t235 (+ @t208 @t234)) @t233))) 19.22/19.44 ; trust MACRO_SR_PRED_ELIM 19.22/19.44 (step @p521 :rule trust :premises (@p519) :args ((=> @t84 @t238))) 19.22/19.44 (step @p522 :rule implies_elim :premises (@p521)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p523 :rule trust :premises (@p522 @p60) :args (@t238)) 19.22/19.44 (assume-push @p524 @t80) 19.22/19.44 (step @p525 :rule instantiate :premises (@p51) :args ((@list @t232))) 19.22/19.44 (step-pop @p935 :rule scope :premises (@p525)) 19.22/19.44 (step @p526 :rule process_scope :premises (@p935) :args ((= @t240 @t233))) 19.22/19.44 ; trust MACRO_SR_PRED_ELIM 19.22/19.44 (step @p528 :rule trust :premises (@p526) :args ((=> @t80 @t241))) 19.22/19.44 (step @p529 :rule implies_elim :premises (@p528)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p530 :rule trust :premises (@p529 @p51) :args (@t241)) 19.22/19.44 (assume-push @p531 @t36) 19.22/19.44 (step @p532 :rule instantiate :premises (@p13) :args ((@list @t242 @t49 tptp.empty_set))) 19.22/19.44 (step-pop @p936 :rule scope :premises (@p532)) 19.22/19.44 (step @p533 :rule process_scope :premises (@p936) :args ((= @t245 @t243))) 19.22/19.44 ; trust MACRO_SR_PRED_ELIM 19.22/19.44 (step @p535 :rule trust :premises (@p533) :args ((=> @t36 @t246))) 19.22/19.44 (step @p536 :rule implies_elim :premises (@p535)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p537 :rule trust :premises (@p536 @p13) :args (@t246)) 19.22/19.44 (assume-push @p538 @t80) 19.22/19.44 (step @p539 :rule instantiate :premises (@p51) :args ((@list tptp.empty_set))) 19.22/19.44 (step-pop @p937 :rule scope :premises (@p539)) 19.22/19.44 (step @p540 :rule process_scope :premises (@p937) :args ((= @t247 (= tptp.empty_set tptp.empty_set)))) 19.22/19.44 ; trust MACRO_SR_PRED_ELIM 19.22/19.44 (step @p542 :rule trust :premises (@p540) :args ((=> @t80 @t247))) 19.22/19.44 (step @p543 :rule implies_elim :premises (@p542)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p544 :rule trust :premises (@p543 @p51) :args (@t247)) 19.22/19.44 (step @p545 :rule instantiate :premises (@p544) :args ((@list @t242))) 19.22/19.44 (step @p546 :rule cnf_and_pos :args (@t245 0)) 19.22/19.44 (step @p547 :rule reordering :premises (@p546) :args ((or @t244 @t248))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p548 :rule trust :premises (@p547 @p545) :args (@t248)) 19.22/19.44 (step @p549 :rule cnf_equiv_pos1 :args (@t246)) 19.22/19.44 (step @p550 :rule reordering :premises (@p549) :args ((or @t249 @t245 (not @t246)))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p551 :rule trust :premises (@p550 @p548 @p537) :args (@t249)) 19.22/19.44 (step @p552 :rule refl :args (@t243)) 19.22/19.44 ; trust MACRO_SR_PRED_INTRO 19.22/19.44 (step @p553 :rule trust :premises () :args ((= (not @t250) @t240))) 19.22/19.44 (step @p554 :rule nary_cong :premises (@p553 @p552) :args (or)) 19.22/19.44 ; trust MACRO_REWRITE 19.22/19.44 (step @p555 :rule trust :premises () :args ((= (=> @t250 @t251) (=> @t250 @t243)))) 19.22/19.44 (assume-push @p556 @t250) 19.22/19.44 (step @p557 :rule skolemize :premises (@p556)) 19.22/19.44 (step-pop @p938 :rule scope :premises (@p557)) 19.22/19.44 (step @p558 :rule process_scope :premises (@p938) :args (@t251)) 19.22/19.44 (step @p560 :rule eq_resolve :premises (@p558 @p555)) 19.22/19.44 (step @p561 :rule implies_elim :premises (@p560)) 19.22/19.44 (step @p562 :rule eq_resolve :premises (@p561 @p554)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p563 :rule trust :premises (@p562 @p551) :args (@t240)) 19.22/19.44 (step @p564 :rule cnf_equiv_pos2 :args (@t241)) 19.22/19.44 (step @p565 :rule reordering :premises (@p564) :args ((or @t233 @t250 (not @t241)))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p566 :rule trust :premises (@p565 @p563 @p530) :args (@t233)) 19.22/19.44 (step @p567 :rule cnf_equiv_pos1 :args (@t238)) 19.22/19.44 (step @p568 :rule reordering :premises (@p567) :args ((or @t252 @t237 (not @t238)))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p569 :rule trust :premises (@p568 @p566 @p523) :args (@t237)) 19.22/19.44 ; trust MACRO_SR_EQ_INTRO 19.22/19.44 (step @p570 :rule trust :premises () :args ((= @t25 (forall @t16 (= (= @t1 (+ -1 @t24)) (= tptp.empty_set @t23)))))) 19.22/19.44 (step @p571 :rule eq_resolve :premises (@p7 @p570)) 19.22/19.44 (step @p572 :rule instantiate :premises (@p571) :args ((@list @t48 tptp.empty_set))) 19.22/19.44 (step @p573 :rule cnf_equiv_pos2 :args (@t254)) 19.22/19.44 (step @p574 :rule reordering :premises (@p573) :args ((or @t253 @t252 (not @t254)))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p575 :rule trust :premises (@p574 @p566 @p572) :args (@t253)) 19.22/19.44 (assume-push @p576 @t253) 19.22/19.44 (assume-push @p577 @t253) 19.22/19.44 (assume-push @p578 @t257) 19.22/19.44 ; WARNING: add trust step for MACRO_SR_PRED_TRANSFORM 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p579 :rule trust :premises (@p576) :args (@t258)) 19.22/19.44 ; WARNING: add trust step for MACRO_ARITH_SCALE_SUM_UB 19.22/19.44 ; trust MACRO_ARITH_SCALE_SUM_UB 19.22/19.44 (step @p580 :rule trust :premises (@p578 @p579) :args ((<= (+ @t260 @t256) (+ @t259 -1)))) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p581 false :rule trust :premises (@p580) :args (false)) 19.22/19.44 (step-pop @p939 :rule scope :premises (@p581)) 19.22/19.44 (step @p582 :rule process_scope :premises (@p939) :args (false)) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p584 :rule trust :premises (@p582) :args (@t261)) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p585 :rule trust :premises (@p584) :args (@t262)) 19.22/19.44 (step-pop @p940 :rule scope :premises (@p585)) 19.22/19.44 (step @p586 :rule process_scope :premises (@p940) :args (@t262)) 19.22/19.44 (step @p588 :rule modus_ponens :premises (@p576 @p586)) 19.22/19.44 (step-pop @p941 :rule scope :premises (@p588)) 19.22/19.44 (step @p589 :rule process_scope :premises (@p941) :args (@t262)) 19.22/19.44 (step @p591 :rule implies_elim :premises (@p589)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p592 :rule trust :premises (@p591 @p575) :args (@t262)) 19.22/19.44 (step @p593 :rule instantiate :premises (@p571) :args ((@list @t44 tptp.empty_set))) 19.22/19.44 (assume-push @p594 @t80) 19.22/19.44 (step @p595 :rule instantiate :premises (@p51) :args ((@list @t263))) 19.22/19.44 (step-pop @p942 :rule scope :premises (@p595)) 19.22/19.44 (step @p596 :rule process_scope :premises (@p942) :args ((= @t266 @t264))) 19.22/19.44 ; trust MACRO_SR_PRED_ELIM 19.22/19.44 (step @p598 :rule trust :premises (@p596) :args ((=> @t80 @t267))) 19.22/19.44 (step @p599 :rule implies_elim :premises (@p598)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p600 :rule trust :premises (@p599 @p51) :args (@t267)) 19.22/19.44 (assume-push @p601 @t36) 19.22/19.44 (step @p602 :rule instantiate :premises (@p13) :args ((@list @t268 @t45 tptp.empty_set))) 19.22/19.44 (step-pop @p943 :rule scope :premises (@p602)) 19.22/19.44 (step @p603 :rule process_scope :premises (@p943) :args ((= @t271 @t269))) 19.22/19.44 ; trust MACRO_SR_PRED_ELIM 19.22/19.44 (step @p605 :rule trust :premises (@p603) :args ((=> @t36 @t272))) 19.22/19.44 (step @p606 :rule implies_elim :premises (@p605)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p607 :rule trust :premises (@p606 @p13) :args (@t272)) 19.22/19.44 (step @p608 :rule instantiate :premises (@p544) :args ((@list @t268))) 19.22/19.44 (step @p609 :rule cnf_and_pos :args (@t271 0)) 19.22/19.44 (step @p610 :rule reordering :premises (@p609) :args ((or @t270 @t273))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p611 :rule trust :premises (@p610 @p608) :args (@t273)) 19.22/19.44 (step @p612 :rule cnf_equiv_pos1 :args (@t272)) 19.22/19.44 (step @p613 :rule reordering :premises (@p612) :args ((or @t274 @t271 (not @t272)))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p614 :rule trust :premises (@p613 @p611 @p607) :args (@t274)) 19.22/19.44 (step @p615 :rule refl :args (@t269)) 19.22/19.44 ; trust MACRO_SR_PRED_INTRO 19.22/19.44 (step @p616 :rule trust :premises () :args ((= (not @t275) @t266))) 19.22/19.44 (step @p617 :rule nary_cong :premises (@p616 @p615) :args (or)) 19.22/19.44 ; trust MACRO_REWRITE 19.22/19.44 (step @p618 :rule trust :premises () :args ((= (=> @t275 @t276) (=> @t275 @t269)))) 19.22/19.44 (assume-push @p619 @t275) 19.22/19.44 (step @p620 :rule skolemize :premises (@p619)) 19.22/19.44 (step-pop @p944 :rule scope :premises (@p620)) 19.22/19.44 (step @p621 :rule process_scope :premises (@p944) :args (@t276)) 19.22/19.44 (step @p623 :rule eq_resolve :premises (@p621 @p618)) 19.22/19.44 (step @p624 :rule implies_elim :premises (@p623)) 19.22/19.44 (step @p625 :rule eq_resolve :premises (@p624 @p617)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p626 :rule trust :premises (@p625 @p614) :args (@t266)) 19.22/19.44 (step @p627 :rule cnf_equiv_pos2 :args (@t267)) 19.22/19.44 (step @p628 :rule reordering :premises (@p627) :args ((or @t264 @t275 (not @t267)))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p629 :rule trust :premises (@p628 @p626 @p600) :args (@t264)) 19.22/19.44 (step @p630 :rule cnf_equiv_pos2 :args (@t279)) 19.22/19.44 (step @p631 :rule reordering :premises (@p630) :args ((or @t278 @t280 (not @t279)))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p632 :rule trust :premises (@p631 @p629 @p593) :args (@t278)) 19.22/19.44 (assume-push @p633 @t84) 19.22/19.44 (step @p634 :rule instantiate :premises (@p60) :args ((@list @t45 tptp.empty_set))) 19.22/19.44 (step-pop @p945 :rule scope :premises (@p634)) 19.22/19.44 (step @p635 :rule process_scope :premises (@p945) :args ((= (= @t277 (+ @t202 @t234)) @t264))) 19.22/19.44 ; trust MACRO_SR_PRED_ELIM 19.22/19.44 (step @p637 :rule trust :premises (@p635) :args ((=> @t84 @t282))) 19.22/19.44 (step @p638 :rule implies_elim :premises (@p637)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p639 :rule trust :premises (@p638 @p60) :args (@t282)) 19.22/19.44 (step @p640 :rule cnf_equiv_pos1 :args (@t282)) 19.22/19.44 (step @p641 :rule reordering :premises (@p640) :args ((or @t280 @t281 (not @t282)))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p642 :rule trust :premises (@p641 @p629 @p639) :args (@t281)) 19.22/19.44 ; trust MACRO_SR_PRED_INTRO 19.22/19.44 (step @p643 :rule trust :premises () :args ((= (not @t285) @t284))) 19.22/19.44 (step @p644 :rule refl :args ((not @t281))) 19.22/19.44 (step @p645 :rule refl :args ((not @t278))) 19.22/19.44 (step @p646 :rule refl :args (@t91)) 19.22/19.44 (step @p647 :rule refl :args (@t287)) 19.22/19.44 (step @p648 :rule refl :args ((not @t237))) 19.22/19.44 ; trust MACRO_SR_PRED_INTRO 19.22/19.44 (step @p649 :rule trust :premises () :args ((= (not @t262) @t257))) 19.22/19.44 (step @p650 :rule refl :args (@t288)) 19.22/19.44 (step @p651 :rule refl :args (@t289)) 19.22/19.44 (step @p652 :rule refl :args ((not @t209))) 19.22/19.44 ; trust MACRO_SR_PRED_INTRO 19.22/19.44 (step @p653 :rule trust :premises () :args ((= (not @t205) @t53))) 19.22/19.44 (step @p654 :rule nary_cong :premises (@p653 @p652 @p651 @p650 @p649 @p648 @p647 @p646 @p645 @p644 @p643) :args (or)) 19.22/19.44 (assume-push @p655 @t281) 19.22/19.44 (assume-push @p656 @t203) 19.22/19.44 (assume-push @p657 @t278) 19.22/19.44 (assume-push @p658 @t88) 19.22/19.44 (assume-push @p659 @t286) 19.22/19.44 (assume-push @p660 @t209) 19.22/19.44 (assume-push @p661 @t96) 19.22/19.44 (assume-push @p662 @t237) 19.22/19.44 (assume-push @p663 @t262) 19.22/19.44 (assume-push @p664 @t205) 19.22/19.44 (assume-push @p665 @t285) 19.22/19.44 (assume-push @p666 @t290) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p667 :rule trust :premises (@p655) :args (@t293)) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p668 :rule trust :premises (@p656) :args (@t296)) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p669 :rule trust :premises (@p657) :args (@t298)) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p670 :rule trust :premises (@p658) :args (@t301)) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p671 :rule trust :premises (@p659) :args (@t303)) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p672 :rule trust :premises (@p660) :args (@t305)) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p673 :rule trust :premises (@p661) :args (@t307)) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p674 :rule trust :premises (@p662) :args (@t309)) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p675 :rule trust :premises (@p663) :args (@t261)) 19.22/19.44 ; trust MACRO_ARITH_SCALE_SUM_UB 19.22/19.44 (step @p676 :rule trust :premises (@p666 @p675 @p674 @p673 @p672 @p671 @p670 @p669 @p668 @p667) :args ((< (+ @t283 @t256 (* -1 @t308) @t306 @t304 @t302 (* -1 @t300) @t297 (* -1 @t295) @t310) (+ 2 0 @t259 0 0 -1 @t259 -1 @t259 @t259)))) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p677 false :rule trust :premises (@p676) :args (false)) 19.22/19.44 (step-pop @p946 :rule scope :premises (@p677)) 19.22/19.44 (step @p678 :rule process_scope :premises (@p946) :args (false)) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p680 :rule trust :premises (@p678) :args ((> @t283 2))) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p681 :rule trust :premises (@p680) :args ((not @t290))) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p682 :rule trust :premises (@p665) :args (@t311)) 19.22/19.44 (step @p683 :rule int_tight_ub :premises (@p682)) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p684 :rule trust :premises (@p429) :args ((not (= @t283 3)))) 19.22/19.44 (step @p685 :rule arith_trichotomy :premises (@p684 @p683)) 19.22/19.44 (step @p686 :rule int_tight_ub :premises (@p685)) 19.22/19.44 (step @p687 false :rule contra :premises (@p686 @p681)) 19.22/19.44 (step-pop @p947 :rule scope :premises (@p687)) 19.22/19.44 (step-pop @p948 :rule scope :premises (@p947)) 19.22/19.44 (step-pop @p949 :rule scope :premises (@p948)) 19.22/19.44 (step-pop @p950 :rule scope :premises (@p949)) 19.22/19.44 (step-pop @p951 :rule scope :premises (@p950)) 19.22/19.44 (step-pop @p952 :rule scope :premises (@p951)) 19.22/19.44 (step-pop @p953 :rule scope :premises (@p952)) 19.22/19.44 (step-pop @p954 :rule scope :premises (@p953)) 19.22/19.44 (step-pop @p955 :rule scope :premises (@p954)) 19.22/19.44 (step-pop @p956 :rule scope :premises (@p955)) 19.22/19.44 (step-pop @p957 :rule scope :premises (@p956)) 19.22/19.44 (step @p688 :rule process_scope :premises (@p957) :args (false)) 19.22/19.44 (assume-push @p700 @t205) 19.22/19.44 (assume-push @p701 @t209) 19.22/19.44 (assume-push @p702 @t96) 19.22/19.44 (assume-push @p703 @t203) 19.22/19.44 (assume-push @p704 @t262) 19.22/19.44 (assume-push @p705 @t237) 19.22/19.44 (assume-push @p706 @t286) 19.22/19.44 (assume-push @p707 @t88) 19.22/19.44 (assume-push @p708 @t278) 19.22/19.44 (assume-push @p709 @t281) 19.22/19.44 (assume-push @p710 @t285) 19.22/19.44 (step @p711 :rule and_intro :premises (@p655 @p656 @p657 @p658 @p659 @p660 @p661 @p662 @p663 @p429 @p665)) 19.22/19.44 (step-pop @p958 :rule scope :premises (@p711)) 19.22/19.44 (step-pop @p959 :rule scope :premises (@p958)) 19.22/19.44 (step-pop @p960 :rule scope :premises (@p959)) 19.22/19.44 (step-pop @p961 :rule scope :premises (@p960)) 19.22/19.44 (step-pop @p962 :rule scope :premises (@p961)) 19.22/19.44 (step-pop @p963 :rule scope :premises (@p962)) 19.22/19.44 (step-pop @p964 :rule scope :premises (@p963)) 19.22/19.44 (step-pop @p965 :rule scope :premises (@p964)) 19.22/19.44 (step-pop @p966 :rule scope :premises (@p965)) 19.22/19.44 (step-pop @p967 :rule scope :premises (@p966)) 19.22/19.44 (step-pop @p968 :rule scope :premises (@p967)) 19.22/19.44 (step @p712 :rule process_scope :premises (@p968) :args (@t312)) 19.22/19.44 (step @p724 :rule implies_elim :premises (@p712)) 19.22/19.44 (step @p725 :rule resolution :premises (@p724 @p688) :args (true @t312)) 19.22/19.44 (step @p726 :rule not_and :premises (@p725)) 19.22/19.44 (step @p727 :rule eq_resolve :premises (@p726 @p654)) 19.22/19.44 (assume-push @p728 @t281) 19.22/19.44 (assume-push @p729 @t281) 19.22/19.44 (assume-push @p730 @t313) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p731 :rule trust :premises (@p655) :args (@t293)) 19.22/19.44 ; trust MACRO_ARITH_SCALE_SUM_UB 19.22/19.44 (step @p732 :rule trust :premises (@p730 @p731) :args ((<= (+ @t310 @t292) (+ (* -1 1) 0)))) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p733 false :rule trust :premises (@p732) :args (false)) 19.22/19.44 (step-pop @p969 :rule scope :premises (@p733)) 19.22/19.44 (step @p734 :rule process_scope :premises (@p969) :args (false)) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p736 :rule trust :premises (@p734) :args (@t314)) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p737 :rule trust :premises (@p736) :args (@t315)) 19.22/19.44 (step-pop @p970 :rule scope :premises (@p737)) 19.22/19.44 (step @p738 :rule process_scope :premises (@p970) :args (@t315)) 19.22/19.44 (step @p740 :rule modus_ponens :premises (@p655 @p738)) 19.22/19.44 (step-pop @p971 :rule scope :premises (@p740)) 19.22/19.44 (step @p741 :rule process_scope :premises (@p971) :args (@t315)) 19.22/19.44 (step @p743 :rule implies_elim :premises (@p741)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p744 :rule trust :premises (@p743 @p642) :args (@t315)) 19.22/19.44 (step @p745 :rule refl :args (@t285)) 19.22/19.44 ; trust MACRO_SR_PRED_INTRO 19.22/19.44 (step @p746 :rule trust :premises () :args ((= (not @t315) @t313))) 19.22/19.44 (step @p747 :rule refl :args ((not @t253))) 19.22/19.44 (step @p748 :rule nary_cong :premises (@p652 @p651 @p650 @p747 @p648 @p647 @p646 @p645 @p746 @p745) :args (or)) 19.22/19.44 (assume-push @p749 @t315) 19.22/19.44 (assume-push @p750 @t203) 19.22/19.44 (assume-push @p751 @t278) 19.22/19.44 (assume-push @p752 @t88) 19.22/19.44 (assume-push @p753 @t286) 19.22/19.44 (assume-push @p754 @t209) 19.22/19.44 (assume-push @p755 @t96) 19.22/19.44 (assume-push @p756 @t237) 19.22/19.44 (assume-push @p757 @t253) 19.22/19.44 (assume-push @p758 @t284) 19.22/19.44 (assume-push @p759 @t284) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p760 :rule trust :premises (@p749) :args (@t314)) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p761 :rule trust :premises (@p656) :args (@t296)) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p762 :rule trust :premises (@p657) :args (@t298)) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p763 :rule trust :premises (@p658) :args (@t301)) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p764 :rule trust :premises (@p659) :args (@t303)) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p765 :rule trust :premises (@p660) :args (@t305)) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p766 :rule trust :premises (@p661) :args (@t307)) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p767 :rule trust :premises (@p662) :args (@t309)) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p768 :rule trust :premises (@p576) :args (@t258)) 19.22/19.44 ; trust MACRO_ARITH_SCALE_SUM_UB 19.22/19.44 (step @p769 :rule trust :premises (@p758 @p768 @p767 @p766 @p765 @p764 @p763 @p762 @p761 @p760) :args ((< (+ (* -1 @t283) @t260 @t308 (* -1 @t306) (* -1 @t304) (* -1 @t302) @t300 (* -1 @t297) @t295 @t292) (+ (* -1 4) @t316 0 @t259 @t259 @t316 0 @t316 0 1)))) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p770 false :rule trust :premises (@p769) :args (false)) 19.22/19.44 (step-pop @p972 :rule scope :premises (@p770)) 19.22/19.44 (step @p771 :rule process_scope :premises (@p972) :args (false)) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p773 :rule trust :premises (@p771) :args (@t311)) 19.22/19.44 ; trust MACRO_SR_PRED_TRANSFORM 19.22/19.44 (step @p774 :rule trust :premises (@p773) :args (@t285)) 19.22/19.44 (step @p775 false :rule contra :premises (@p758 @p774)) 19.22/19.44 (step-pop @p973 :rule scope :premises (@p775)) 19.22/19.44 (step-pop @p974 :rule scope :premises (@p973)) 19.22/19.44 (step-pop @p975 :rule scope :premises (@p974)) 19.22/19.44 (step-pop @p976 :rule scope :premises (@p975)) 19.22/19.44 (step-pop @p977 :rule scope :premises (@p976)) 19.22/19.44 (step-pop @p978 :rule scope :premises (@p977)) 19.22/19.44 (step-pop @p979 :rule scope :premises (@p978)) 19.22/19.44 (step-pop @p980 :rule scope :premises (@p979)) 19.22/19.44 (step-pop @p981 :rule scope :premises (@p980)) 19.22/19.44 (step-pop @p982 :rule scope :premises (@p981)) 19.22/19.44 (step @p776 :rule process_scope :premises (@p982) :args (false)) 19.22/19.44 (assume-push @p787 @t209) 19.22/19.44 (assume-push @p788 @t96) 19.22/19.44 (assume-push @p789 @t203) 19.22/19.44 (assume-push @p790 @t253) 19.22/19.44 (assume-push @p791 @t237) 19.22/19.44 (assume-push @p792 @t286) 19.22/19.44 (assume-push @p793 @t88) 19.22/19.44 (assume-push @p794 @t278) 19.22/19.44 (assume-push @p795 @t315) 19.22/19.44 (assume-push @p796 @t284) 19.22/19.44 (step @p797 :rule and_intro :premises (@p749 @p656 @p657 @p658 @p659 @p660 @p661 @p662 @p576 @p758)) 19.22/19.44 (step-pop @p983 :rule scope :premises (@p797)) 19.22/19.44 (step-pop @p984 :rule scope :premises (@p983)) 19.22/19.44 (step-pop @p985 :rule scope :premises (@p984)) 19.22/19.44 (step-pop @p986 :rule scope :premises (@p985)) 19.22/19.44 (step-pop @p987 :rule scope :premises (@p986)) 19.22/19.44 (step-pop @p988 :rule scope :premises (@p987)) 19.22/19.44 (step-pop @p989 :rule scope :premises (@p988)) 19.22/19.44 (step-pop @p990 :rule scope :premises (@p989)) 19.22/19.44 (step-pop @p991 :rule scope :premises (@p990)) 19.22/19.44 (step-pop @p992 :rule scope :premises (@p991)) 19.22/19.44 (step @p798 :rule process_scope :premises (@p992) :args (@t317)) 19.22/19.44 (step @p809 :rule implies_elim :premises (@p798)) 19.22/19.44 (step @p810 :rule resolution :premises (@p809 @p776) :args (true @t317)) 19.22/19.44 (step @p811 :rule not_and :premises (@p810)) 19.22/19.44 (step @p812 :rule eq_resolve :premises (@p811 @p748)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p813 :rule trust :premises (@p812 @p744 @p632 @p569 @p575 @p516 @p727 @p642 @p632 @p592 @p569 @p516 @p429) :args ((or @t289 @t288 @t287 @t91))) 19.22/19.44 (step @p814 :rule instantiate :premises (@p571) :args ((@list @t46 @t40))) 19.22/19.44 (step @p815 :rule cnf_equiv_pos2 :args (@t318)) 19.22/19.44 (step @p816 :rule reordering :premises (@p815) :args ((or @t286 @t319 (not @t318)))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p817 :rule trust :premises (@p816 @p814 @p813 @p427 @p236 @p69 @p67) :args (@t91)) 19.22/19.44 (step @p818 :rule cnf_equiv_pos1 :args (@t89)) 19.22/19.44 (step @p819 :rule reordering :premises (@p818) :args ((or @t319 @t88 @t90))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p820 :rule trust :premises (@p819 @p817 @p67) :args (@t319)) 19.22/19.44 (step @p821 :rule cnf_equiv_pos2 :args (@t83)) 19.22/19.44 (step @p822 :rule reordering :premises (@p821) :args ((or @t81 @t320 (not @t83)))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p823 :rule trust :premises (@p822 @p820 @p58) :args (@t320)) 19.22/19.44 (step @p824 :rule refl :args (@t75)) 19.22/19.44 ; trust MACRO_SR_PRED_INTRO 19.22/19.44 (step @p825 :rule trust :premises () :args ((= (not @t320) @t82))) 19.22/19.44 (step @p826 :rule nary_cong :premises (@p825 @p824) :args (or)) 19.22/19.44 ; trust MACRO_REWRITE 19.22/19.44 (step @p827 :rule trust :premises () :args ((= (=> @t320 @t322) (=> @t320 @t75)))) 19.22/19.44 (assume-push @p828 @t320) 19.22/19.44 (step @p829 :rule skolemize :premises (@p828)) 19.22/19.44 (step-pop @p993 :rule scope :premises (@p829)) 19.22/19.44 (step @p830 :rule process_scope :premises (@p993) :args (@t322)) 19.22/19.44 (step @p832 :rule eq_resolve :premises (@p830 @p827)) 19.22/19.44 (step @p833 :rule implies_elim :premises (@p832)) 19.22/19.44 (step @p834 :rule eq_resolve :premises (@p833 @p826)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p835 :rule trust :premises (@p834 @p823) :args (@t75)) 19.22/19.44 (step @p836 :rule cnf_equiv_pos1 :args (@t79)) 19.22/19.44 (step @p837 :rule reordering :premises (@p836) :args ((or @t321 @t78 (not @t79)))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p838 :rule trust :premises (@p837 @p835 @p49) :args (@t78)) 19.22/19.44 (step @p839 :rule cnf_and_pos :args (@t78 0)) 19.22/19.44 (step @p840 :rule reordering :premises (@p839) :args ((or @t77 @t323))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p841 :rule trust :premises (@p840 @p838) :args (@t77)) 19.22/19.44 (assume-push @p842 @t21) 19.22/19.44 (step @p843 :rule instantiate :premises (@p6) :args ((@list @t74 @t46))) 19.22/19.44 (step-pop @p994 :rule scope :premises (@p843)) 19.22/19.44 (step @p844 :rule process_scope :premises (@p994) :args ((= (= @t74 @t46) @t76))) 19.22/19.44 ; trust MACRO_SR_PRED_ELIM 19.22/19.44 (step @p846 :rule trust :premises (@p844) :args ((=> @t21 @t325))) 19.22/19.44 (step @p847 :rule implies_elim :premises (@p846)) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p848 :rule trust :premises (@p847 @p6) :args (@t325)) 19.22/19.44 (step @p849 :rule cnf_and_pos :args (@t78 1)) 19.22/19.44 (step @p850 :rule reordering :premises (@p849) :args ((or @t76 @t323))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p851 :rule trust :premises (@p850 @p838) :args (@t76)) 19.22/19.44 (step @p852 :rule cnf_equiv_pos1 :args (@t325)) 19.22/19.44 (step @p853 :rule reordering :premises (@p852) :args ((or (not @t76) @t324 (not @t325)))) 19.22/19.44 ; trust MACRO_RESOLUTION_TRUST 19.22/19.44 (step @p854 :rule trust :premises (@p853 @p851 @p848) :args (@t324)) 19.22/19.44 (step @p855 :rule refl :args ((not @t324))) 19.22/19.44 (step @p856 :rule refl :args ((not @t77))) 19.22/19.44 ; trust MACRO_SR_PRED_INTRO 19.22/19.44 (step @p857 :rule trust :premises () :args ((= (not @t70) @t69))) 19.22/19.44 (step @p858 :rule nary_cong :premises (@p857 @p856 @p855) :args (or)) 19.22/19.44 (assume-push @p859 @t70) 19.22/19.44 (assume-push @p860 @t324) 19.22/19.44 (assume-push @p861 @t77) 19.22/19.44 (step @p862 :rule false_intro :premises (@p42)) 19.22/19.44 (step @p863 :rule refl :args (@t40)) 19.22/19.44 (step @p864 :rule symm :premises (@p860)) 19.22/19.44 (step @p865 :rule cong :premises (@p864 @p863) :args (tptp.member)) 19.22/19.44 (step @p866 :rule true_intro :premises (@p861)) 19.22/19.44 (step @p867 :rule symm :premises (@p866)) 19.22/19.44 (step @p868 :rule trans :premises (@p867 @p865 @p862)) 19.22/19.44 ; trust MACRO_SR_PRED_ELIM 19.22/19.44 (step @p869 false :rule trust :premises (@p868) :args (false)) 19.22/19.44 (step-pop @p995 :rule scope :premises (@p869)) 19.22/19.44 (step-pop @p996 :rule scope :premises (@p995)) 19.22/19.44 (step-pop @p997 :rule scope :premises (@p996)) 19.22/19.44 (step @p870 :rule process_scope :premises (@p997) :args (false)) 19.22/19.44 (assume-push @p874 @t70) 19.22/19.44 (assume-push @p875 @t77) 19.22/19.44 (assume-push @p876 @t324) 19.22/19.44 (step @p877 :rule and_intro :premises (@p42 @p860 @p861)) 19.22/19.44 (step-pop @p998 :rule scope :premises (@p877)) 19.22/19.44 (step-pop @p999 :rule scope :premises (@p998)) 19.22/19.44 (step-pop @p1000 :rule scope :premises (@p999)) 19.22/19.44 (step @p878 :rule process_scope :premises (@p1000) :args (@t326)) 19.22/19.44 (step @p882 :rule implies_elim :premises (@p878)) 19.22/19.44 (step @p883 :rule resolution :premises (@p882 @p870) :args (true @t326)) 19.22/19.45 (step @p884 :rule not_and :premises (@p883)) 19.22/19.45 (step @p885 :rule eq_resolve :premises (@p884 @p858)) 19.22/19.45 ; trust MACRO_RESOLUTION_TRUST 19.22/19.45 (step @p886 false :rule trust :premises (@p885 @p854 @p841 @p42) :args (false)) 19.22/19.45 19.22/19.45 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.3GPAnC8ogN/cvc5---1.0.5_31226.smt2 19.22/19.45 % cvc5---1.0.5 exiting 19.22/19.45 % cvc5---1.0.5 exiting 19.22/19.45 EOF