%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU011+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:50:27 AM UTC 2026 % Result : Theorem 33.96s 34.13s % Output : Proof 33.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU011+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n005.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:23:03 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 33.96/34.13 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.96/34.13 --- Run --no-e-matching --full-saturate-quant at 6... % 33.96/34.13 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.96/34.13 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.96/34.13 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.96/34.13 % SZS status Theorem % 33.96/34.13 % SZS output start Proof % 33.96/34.13 ( % 33.96/34.13 (declare-sort $$unsorted 0) % 33.96/34.13 (declare-const tptp.empty (-> $$unsorted Bool)) % 33.96/34.13 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 33.96/34.13 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 33.96/34.13 (declare-const tptp.relation (-> $$unsorted Bool)) % 33.96/34.13 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 33.96/34.13 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 33.96/34.13 (declare-const tptp.function (-> $$unsorted Bool)) % 33.96/34.13 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 33.96/34.13 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 33.96/34.13 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 33.96/34.13 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 33.96/34.13 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 33.96/34.13 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 33.96/34.13 (declare-const tptp.empty_set $$unsorted) % 33.96/34.13 (define @t1 () (@var "A" $$unsorted)) % 33.96/34.13 (define @t2 () (@var "B" $$unsorted)) % 33.96/34.13 (define @t3 () (tptp.in @t1 @t2)) % 33.96/34.13 (define @t4 () (@list @t1 @t2)) % 33.96/34.13 (define @t5 () (tptp.function @t1)) % 33.96/34.13 (define @t6 () (tptp.empty @t1)) % 33.96/34.13 (define @t7 () (@list @t1)) % 33.96/34.13 (define @t8 () (tptp.relation @t1)) % 33.96/34.13 (define @t9 () (tptp.set_intersection2 @t1 @t2)) % 33.96/34.13 (define @t10 () (@var "D" $$unsorted)) % 33.96/34.13 (define @t11 () (@var "C" $$unsorted)) % 33.96/34.13 (define @t12 () (@list @t10)) % 33.96/34.13 (define @t13 () (forall @t12 (= (tptp.in @t10 @t11) (and (tptp.in @t10 @t1) (tptp.in @t10 @t2))))) % 33.96/34.13 (define @t14 () (= (= @t11 @t9) @t13)) % 33.96/34.13 (define @t15 () (@list @t1 @t2 @t11)) % 33.96/34.13 (define @t16 () (forall @t15 @t14)) % 33.96/34.13 (define @t17 () (tptp.relation_composition @t1 @t2)) % 33.96/34.13 (define @t18 () (tptp.relation @t17)) % 33.96/34.13 (define @t19 () (tptp.relation @t2)) % 33.96/34.13 (define @t20 () (and @t8 @t19)) % 33.96/34.13 (define @t21 () (forall @t4 (=> @t20 @t18))) % 33.96/34.13 (define @t22 () (tptp.identity_relation @t1)) % 33.96/34.13 (define @t23 () (tptp.relation @t22)) % 33.96/34.13 (define @t24 () (forall @t7 @t23)) % 33.96/34.13 (define @t25 () (@list @t2)) % 33.96/34.13 (define @t26 () (tptp.relation_composition @t2 @t1)) % 33.96/34.13 (define @t27 () (and @t6 @t19)) % 33.96/34.13 (define @t28 () (tptp.relation tptp.empty_set)) % 33.96/34.13 (define @t29 () (tptp.empty tptp.empty_set)) % 33.96/34.13 (define @t30 () (and @t18 (tptp.function @t17))) % 33.96/34.13 (define @t31 () (tptp.function @t2)) % 33.96/34.13 (define @t32 () (and @t8 @t5 @t19 @t31)) % 33.96/34.13 (define @t33 () (forall @t4 (=> @t32 @t30))) % 33.96/34.13 (define @t34 () (tptp.powerset @t1)) % 33.96/34.13 (define @t35 () (tptp.function @t22)) % 33.96/34.13 (define @t36 () (forall @t7 (and @t23 @t35))) % 33.96/34.13 (define @t37 () (tptp.relation_dom @t1)) % 33.96/34.13 (define @t38 () (tptp.empty @t37)) % 33.96/34.13 (define @t39 () (not @t6)) % 33.96/34.13 (define @t40 () (and @t39 @t8)) % 33.96/34.13 (define @t41 () (and @t8 @t5)) % 33.96/34.13 (define @t42 () (tptp.empty @t2)) % 33.96/34.13 (define @t43 () (tptp.element @t2 @t34)) % 33.96/34.13 (define @t44 () (tptp.element @t1 @t2)) % 33.96/34.13 (define @t45 () (tptp.relation_composition @t11 @t2)) % 33.96/34.13 (define @t46 () (= (tptp.apply @t45 @t1) (tptp.apply @t2 (tptp.apply @t11 @t1)))) % 33.96/34.13 (define @t47 () (tptp.in @t1 (tptp.relation_dom @t45))) % 33.96/34.13 (define @t48 () (=> @t47 @t46)) % 33.96/34.13 (define @t49 () (tptp.function @t11)) % 33.96/34.13 (define @t50 () (tptp.relation @t11)) % 33.96/34.13 (define @t51 () (and @t50 @t49)) % 33.96/34.13 (define @t52 () (@list @t11)) % 33.96/34.13 (define @t53 () (forall @t52 (=> @t51 @t48))) % 33.96/34.13 (define @t54 () (and @t19 @t31)) % 33.96/34.13 (define @t55 () (=> @t54 @t53)) % 33.96/34.13 (define @t56 () (forall @t4 @t55)) % 33.96/34.13 (define @t57 () (tptp.apply @t2 @t11)) % 33.96/34.13 (define @t58 () (tptp.in @t11 @t1)) % 33.96/34.13 (define @t59 () (=> @t58 (= @t57 @t11))) % 33.96/34.13 (define @t60 () (forall @t52 @t59)) % 33.96/34.13 (define @t61 () (tptp.relation_dom @t2)) % 33.96/34.13 (define @t62 () (and (= @t61 @t1) @t60)) % 33.96/34.13 (define @t63 () (= @t2 @t22)) % 33.96/34.13 (define @t64 () (= @t63 @t62)) % 33.96/34.13 (define @t65 () (=> @t54 @t64)) % 33.96/34.13 (define @t66 () (forall @t4 @t65)) % 33.96/34.13 (define @t67 () (= (tptp.relation_dom (tptp.relation_composition @t22 @t2)) (tptp.set_intersection2 @t61 @t1))) % 33.96/34.13 (define @t68 () (forall @t4 (=> @t54 @t67))) % 33.96/34.13 (define @t69 () (forall @t4 (= (tptp.relation_composition (tptp.identity_relation @t2) @t22) (tptp.identity_relation @t9)))) % 33.96/34.13 (define @t70 () (tptp.element @t2 (tptp.powerset @t11))) % 33.96/34.13 (define @t71 () (= @t1 @t2)) % 33.96/34.13 (define @t72 () (not @t31)) % 33.96/34.13 (define @t73 () (not @t19)) % 33.96/34.13 (define @t74 () (or @t73 @t72)) % 33.96/34.13 (define @t75 () (not @t54)) % 33.96/34.13 (define @t76 () (@quantifiers_skolemize @t69 0)) % 33.96/34.13 (define @t77 () (tptp.identity_relation @t76)) % 33.96/34.13 (define @t78 () (@quantifiers_skolemize @t69 1)) % 33.96/34.13 (define @t79 () (forall @t7 @t35)) % 33.96/34.13 (define @t80 () (@list @t1)) % 33.96/34.13 (define @t81 () (and @t24 @t79)) % 33.96/34.13 (define @t82 () (@list @t76)) % 33.96/34.13 (define @t83 () (tptp.relation_dom @t77)) % 33.96/34.13 (define @t84 () (tptp.set_intersection2 @t83 @t78)) % 33.96/34.13 (define @t85 () (tptp.identity_relation @t78)) % 33.96/34.13 (define @t86 () (tptp.relation_composition @t85 @t77)) % 33.96/34.13 (define @t87 () (tptp.relation_dom @t86)) % 33.96/34.13 (define @t88 () (= @t87 @t84)) % 33.96/34.13 (define @t89 () (tptp.function @t77)) % 33.96/34.13 (define @t90 () (not @t89)) % 33.96/34.13 (define @t91 () (tptp.relation @t77)) % 33.96/34.13 (define @t92 () (not @t91)) % 33.96/34.13 (define @t93 () (or @t92 @t90 @t88)) % 33.96/34.13 (define @t94 () (@list false false false)) % 33.96/34.13 (define @t95 () (= @t11 @t57)) % 33.96/34.13 (define @t96 () (= @t63 (and (= @t1 @t61) (forall @t52 (or (not @t58) @t95))))) % 33.96/34.13 (define @t97 () (or @t73 @t72 @t96)) % 33.96/34.13 (define @t98 () (forall @t52 (or (not (tptp.in @t11 @t76)) (= @t11 (tptp.apply @t77 @t11))))) % 33.96/34.13 (define @t99 () (= @t76 @t83)) % 33.96/34.13 (define @t100 () (and @t99 @t98)) % 33.96/34.13 (define @t101 () (= (= @t77 @t77) @t100)) % 33.96/34.13 (define @t102 () (or @t92 @t90 @t101)) % 33.96/34.13 (define @t103 () (forall @t4 @t97)) % 33.96/34.13 (define @t104 () (or @t92 @t90 @t100)) % 33.96/34.13 (define @t105 () (@list false)) % 33.96/34.13 (define @t106 () (@list @t103)) % 33.96/34.13 (define @t107 () (not @t100)) % 33.96/34.13 (define @t108 () (@list @t100)) % 33.96/34.13 (define @t109 () (tptp.set_intersection2 @t76 @t78)) % 33.96/34.13 (define @t110 () (not @t5)) % 33.96/34.13 (define @t111 () (not @t8)) % 33.96/34.13 (define @t112 () (or @t111 @t110 @t73 @t72)) % 33.96/34.13 (define @t113 () (@list @t85 @t77)) % 33.96/34.13 (define @t114 () (@list @t78)) % 33.96/34.13 (define @t115 () (tptp.function @t86)) % 33.96/34.13 (define @t116 () (tptp.relation @t86)) % 33.96/34.13 (define @t117 () (and @t116 @t115)) % 33.96/34.13 (define @t118 () (tptp.function @t85)) % 33.96/34.13 (define @t119 () (not @t118)) % 33.96/34.13 (define @t120 () (tptp.relation @t85)) % 33.96/34.13 (define @t121 () (not @t120)) % 33.96/34.13 (define @t122 () (or @t121 @t119 @t92 @t90 @t117)) % 33.96/34.13 (define @t123 () (or @t121 @t92 @t116)) % 33.96/34.13 (define @t124 () (forall @t52 (or (not (tptp.in @t11 @t109)) (= @t11 (tptp.apply @t86 @t11))))) % 33.96/34.13 (define @t125 () (= @t109 @t87)) % 33.96/34.13 (define @t126 () (and @t125 @t124)) % 33.96/34.13 (define @t127 () (= @t86 (tptp.identity_relation @t109))) % 33.96/34.13 (define @t128 () (= @t127 @t126)) % 33.96/34.13 (define @t129 () (not @t115)) % 33.96/34.13 (define @t130 () (not @t116)) % 33.96/34.13 (define @t131 () (or @t130 @t129 @t128)) % 33.96/34.13 (define @t132 () (not @t126)) % 33.96/34.13 (define @t133 () (@list true false)) % 33.96/34.13 (define @t134 () (@quantifiers_skolemize @t124 0)) % 33.96/34.13 (define @t135 () (tptp.apply @t86 @t134)) % 33.96/34.13 (define @t136 () (= @t134 @t135)) % 33.96/34.13 (define @t137 () (tptp.in @t134 @t109)) % 33.96/34.13 (define @t138 () (not @t137)) % 33.96/34.13 (define @t139 () (or @t138 @t136)) % 33.96/34.13 (define @t140 () (not @t136)) % 33.96/34.13 (define @t141 () (@list true)) % 33.96/34.13 (define @t142 () (@list @t139)) % 33.96/34.13 (define @t143 () (forall @t52 (or (not (tptp.in @t11 @t78)) (= @t11 (tptp.apply @t85 @t11))))) % 33.96/34.13 (define @t144 () (and (= @t78 (tptp.relation_dom @t85)) @t143)) % 33.96/34.13 (define @t145 () (= (= @t85 @t85) @t144)) % 33.96/34.13 (define @t146 () (or @t121 @t119 @t145)) % 33.96/34.13 (define @t147 () (or @t121 @t119 @t144)) % 33.96/34.13 (define @t148 () (@list @t134)) % 33.96/34.13 (define @t149 () (= @t9 @t11)) % 33.96/34.13 (define @t150 () (forall @t12 (= (tptp.in @t10 @t109) (and (tptp.in @t10 @t78) (tptp.in @t10 @t76))))) % 33.96/34.13 (define @t151 () (tptp.set_intersection2 @t78 @t76)) % 33.96/34.13 (define @t152 () (= @t151 @t109)) % 33.96/34.13 (define @t153 () (forall @t15 (= @t13 @t149))) % 33.96/34.13 (define @t154 () (= @t150 @t152)) % 33.96/34.13 (define @t155 () (= @t109 @t151)) % 33.96/34.13 (define @t156 () (= @t155 @t150)) % 33.96/34.13 (define @t157 () (@list false false)) % 33.96/34.13 (define @t158 () (tptp.in @t134 @t76)) % 33.96/34.13 (define @t159 () (tptp.in @t134 @t78)) % 33.96/34.13 (define @t160 () (and @t159 @t158)) % 33.96/34.13 (define @t161 () (= @t137 @t160)) % 33.96/34.13 (define @t162 () (not @t160)) % 33.96/34.13 (define @t163 () (@list @t160)) % 33.96/34.13 (define @t164 () (tptp.apply @t85 @t134)) % 33.96/34.13 (define @t165 () (= @t134 @t164)) % 33.96/34.13 (define @t166 () (not @t159)) % 33.96/34.13 (define @t167 () (or @t166 @t165)) % 33.96/34.13 (define @t168 () (@var "BOUND_VARIABLE_7773" $$unsorted)) % 33.96/34.13 (define @t169 () (tptp.relation_composition @t168 @t2)) % 33.96/34.13 (define @t170 () (= (tptp.apply @t169 @t1) (tptp.apply @t2 (tptp.apply @t168 @t1)))) % 33.96/34.13 (define @t171 () (not (tptp.in @t1 (tptp.relation_dom @t169)))) % 33.96/34.13 (define @t172 () (not (tptp.function @t168))) % 33.96/34.13 (define @t173 () (not (tptp.relation @t168))) % 33.96/34.13 (define @t174 () (or @t173 @t172 @t171 @t170)) % 33.96/34.13 (define @t175 () (or @t73 @t72 @t174)) % 33.96/34.13 (define @t176 () (forall (@list @t1 @t2 @t168) @t175)) % 33.96/34.13 (define @t177 () (@list @t168)) % 33.96/34.13 (define @t178 () (forall @t177 @t175)) % 33.96/34.13 (define @t179 () (forall @t177 @t174)) % 33.96/34.13 (define @t180 () (or @t73 @t72 @t179)) % 33.96/34.13 (define @t181 () (not @t47)) % 33.96/34.13 (define @t182 () (not @t49)) % 33.96/34.13 (define @t183 () (not @t50)) % 33.96/34.13 (define @t184 () (or @t183 @t182 @t181 @t46)) % 33.96/34.13 (define @t185 () (forall @t52 @t184)) % 33.96/34.13 (define @t186 () (or @t73 @t72 @t185)) % 33.96/34.13 (define @t187 () (tptp.in @t134 @t87)) % 33.96/34.13 (define @t188 () (= @t135 (tptp.apply @t77 @t164))) % 33.96/34.13 (define @t189 () (not @t187)) % 33.96/34.13 (define @t190 () (or @t92 @t90 @t121 @t119 @t189 @t188)) % 33.96/34.13 (define @t191 () (tptp.apply @t77 @t134)) % 33.96/34.13 (define @t192 () (= @t134 @t191)) % 33.96/34.13 (define @t193 () (not @t158)) % 33.96/34.13 (define @t194 () (or @t193 @t192)) % 33.96/34.13 (define @t195 () (not @t192)) % 33.96/34.13 (define @t196 () (not @t188)) % 33.96/34.13 (define @t197 () (not @t165)) % 33.96/34.13 (define @t198 () (and @t195 @t192)) % 33.96/34.13 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 33.96/34.13 (assume @p2 (forall @t7 (=> @t6 @t5))) % 33.96/34.13 (assume @p3 (forall @t7 (=> @t6 @t8))) % 33.96/34.13 (assume @p4 (forall @t4 (= @t9 (tptp.set_intersection2 @t2 @t1)))) % 33.96/34.13 (assume @p5 @t16) % 33.96/34.13 (assume @p6 @t21) % 33.96/34.13 (assume @p7 @t24) % 33.96/34.13 (assume @p8 (forall @t7 (exists @t25 (tptp.element @t2 @t1)))) % 33.96/34.13 (assume @p9 (forall @t4 (=> @t27 (and (tptp.empty @t26) (tptp.relation @t26))))) % 33.96/34.13 (assume @p10 (and @t29 @t28 (tptp.relation_empty_yielding tptp.empty_set))) % 33.96/34.13 (assume @p11 @t33) % 33.96/34.13 (assume @p12 (forall @t4 (=> @t20 (tptp.relation @t9)))) % 33.96/34.13 (assume @p13 (forall @t7 (not (tptp.empty @t34)))) % 33.96/34.13 (assume @p14 @t29) % 33.96/34.13 (assume @p15 @t36) % 33.96/34.13 (assume @p16 (and @t29 @t28)) % 33.96/34.13 (assume @p17 (forall @t7 (=> @t40 (not @t38)))) % 33.96/34.13 (assume @p18 (forall @t7 (=> @t6 (and @t38 (tptp.relation @t37))))) % 33.96/34.13 (assume @p19 (forall @t4 (=> @t27 (and (tptp.empty @t17) @t18)))) % 33.96/34.13 (assume @p20 (forall @t4 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 33.96/34.13 (assume @p21 (exists @t7 @t41)) % 33.96/34.13 (assume @p22 (exists @t7 (and @t6 @t8))) % 33.96/34.13 (assume @p23 (forall @t7 (=> @t39 (exists @t25 (and @t43 (not @t42)))))) % 33.96/34.13 (assume @p24 (exists @t7 @t6)) % 33.96/34.13 (assume @p25 (exists @t7 @t40)) % 33.96/34.13 (assume @p26 (forall @t7 (exists @t25 (and @t43 @t42)))) % 33.96/34.13 (assume @p27 (exists @t7 @t39)) % 33.96/34.13 (assume @p28 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 33.96/34.13 (assume @p29 (forall @t4 (tptp.subset @t1 @t1))) % 33.96/34.13 (assume @p30 (forall @t4 (=> @t3 @t44))) % 33.96/34.13 (assume @p31 @t56) % 33.96/34.13 (assume @p32 (forall @t7 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 33.96/34.13 (assume @p33 (forall @t4 (=> @t44 (or @t42 @t3)))) % 33.96/34.13 (assume @p34 @t66) % 33.96/34.13 (assume @p35 @t68) % 33.96/34.13 (assume @p36 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 33.96/34.13 (assume @p37 (not @t69)) % 33.96/34.13 (assume @p38 (forall @t15 (=> (and @t3 @t70) (tptp.element @t1 @t11)))) % 33.96/34.13 (assume @p39 (forall @t15 (not (and @t3 @t70 (tptp.empty @t11))))) % 33.96/34.13 (assume @p40 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 33.96/34.13 (assume @p41 (forall @t4 (not (and @t3 @t42)))) % 33.96/34.13 (assume @p42 (forall @t4 (not (and @t6 (not @t71) @t42)))) % 33.96/34.13 (assume @p43 (forall @t7 (=> @t41 (forall @t25 (=> @t54 (=> (and (= @t37 @t61) (forall @t52 (=> (tptp.in @t11 @t37) (= (tptp.apply @t1 @t11) @t57)))) @t71)))))) % 33.96/34.13 (assume @p44 true) % 33.96/34.13 (step @p45 :rule aci_norm :args ((= (or @t74 @t67) (or @t73 @t72 @t67)))) % 33.96/34.13 (step @p46 :rule refl :args (@t67)) % 33.96/34.13 (step @p47 :rule bool-and-de-morgan :args (@t19 @t31 true)) % 33.96/34.13 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or @t75 @t67))) % 33.96/34.13 (step @p49 :rule trans :premises (@p48 @p45)) % 33.96/34.13 (step @p50 :rule bool-impl-elim :args (@t54 @t67)) % 33.96/34.13 (step @p51 :rule trans :premises (@p50 @p49)) % 33.96/34.13 (step @p52 :rule cong :premises (@p51) :args (@t68)) % 33.96/34.13 (step @p53 :rule eq_resolve :premises (@p35 @p52)) % 33.96/34.13 (step @p54 :rule instantiate :premises (@p53) :args ((@list @t78 @t77))) % 33.96/34.13 (step @p55 :rule alpha_equiv :args (@t79 @t80 (@list (@var "BOUND_VARIABLE_7675" $$unsorted)))) % 33.96/34.13 (step @p56 :rule alpha_equiv :args (@t24 @t80 (@list (@var "BOUND_VARIABLE_7669" $$unsorted)))) % 33.96/34.13 (step @p57 :rule nary_cong :premises (@p56 @p55) :args (@t81)) % 33.96/34.13 (step @p58 :rule quant-miniscope-and :args ((= @t36 @t81))) % 33.96/34.13 (step @p59 :rule trans :premises (@p58 @p57)) % 33.96/34.13 (step @p60 :rule eq_resolve :premises (@p15 @p59)) % 33.96/34.13 (step @p61 :rule and_elim :premises (@p60) :args (1)) % 33.96/34.13 (step @p62 :rule instantiate :premises (@p61) :args (@t82)) % 33.96/34.13 (step @p63 :rule instantiate :premises (@p7) :args (@t82)) % 33.96/34.13 (step @p64 :rule cnf_or_pos :args (@t93)) % 33.96/34.13 (step @p65 :rule reordering :premises (@p64) :args ((or @t92 @t90 @t88 (not @t93)))) % 33.96/34.13 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p62 @p54) :args (@t88 @t94 (@list @t91 @t89 @t93))) % 33.96/34.13 (step @p67 :rule symm :premises (@p66)) % 33.96/34.13 (step @p68 :rule refl :args (@t78)) % 33.96/34.13 (step @p69 :rule aci_norm :args ((= (or @t74 @t96) @t97))) % 33.96/34.13 (step @p70 :rule refl :args (@t96)) % 33.96/34.13 (step @p71 :rule nary_cong :premises (@p47 @p70) :args ((or @t75 @t96))) % 33.96/34.13 (step @p72 :rule trans :premises (@p71 @p69)) % 33.96/34.13 (step @p73 :rule bool-impl-elim :args (@t54 @t96)) % 33.96/34.13 (step @p74 :rule trans :premises (@p73 @p72)) % 33.96/34.13 (step @p75 :rule cong :premises (@p74) :args ((forall @t4 (=> @t54 @t96)))) % 33.96/34.13 (step @p76 :rule bool-impl-elim :args (@t58 @t95)) % 33.96/34.13 (step @p77 :rule cong :premises (@p76) :args ((forall @t52 (=> @t58 @t95)))) % 33.96/34.13 (step @p78 :rule eq-symm :args (@t57 @t11)) % 33.96/34.13 (step @p79 :rule refl :args (@t58)) % 33.96/34.13 (step @p80 :rule cong :premises (@p79 @p78) :args (@t59)) % 33.96/34.13 (step @p81 :rule cong :premises (@p80) :args (@t60)) % 33.96/34.13 (step @p82 :rule trans :premises (@p81 @p77)) % 33.96/34.13 (step @p83 :rule eq-symm :args (@t61 @t1)) % 33.96/34.13 (step @p84 :rule nary_cong :premises (@p83 @p82) :args (@t62)) % 33.96/34.13 (step @p85 :rule refl :args (@t63)) % 33.96/34.13 (step @p86 :rule cong :premises (@p85 @p84) :args (@t64)) % 33.96/34.13 (step @p87 :rule refl :args (@t54)) % 33.96/34.13 (step @p88 :rule cong :premises (@p87 @p86) :args (@t65)) % 33.96/34.13 (step @p89 :rule cong :premises (@p88) :args (@t66)) % 33.96/34.13 (step @p90 :rule trans :premises (@p89 @p75)) % 33.96/34.13 (step @p91 :rule eq_resolve :premises (@p34 @p90)) % 33.96/34.13 (step @p92 :rule bool-eq-true :args (@t100)) % 33.96/34.13 (step @p93 :rule eq-symm :args (true @t100)) % 33.96/34.13 (step @p94 :rule trans :premises (@p93 @p92)) % 33.96/34.13 (step @p95 :rule refl :args (@t100)) % 33.96/34.13 (step @p96 :rule eq-refl :args (@t77)) % 33.96/34.13 (step @p97 :rule cong :premises (@p96 @p95) :args (@t101)) % 33.96/34.13 (step @p98 :rule trans :premises (@p97 @p94)) % 33.96/34.13 (step @p99 :rule refl :args (@t90)) % 33.96/34.13 (step @p100 :rule refl :args (@t92)) % 33.96/34.13 (step @p101 :rule nary_cong :premises (@p100 @p99 @p98) :args (@t102)) % 33.96/34.13 (step @p102 :rule refl :args (@t103)) % 33.96/34.13 (step @p103 :rule cong :premises (@p102 @p101) :args ((=> @t103 @t102))) % 33.96/34.13 (assume-push @p333 @t103) % 33.96/34.13 (step @p105 :rule instantiate :premises (@p91) :args ((@list @t76 @t77))) % 33.96/34.13 (step-pop @p334 :rule scope :premises (@p105)) % 33.96/34.13 (step @p106 :rule process_scope :premises (@p334) :args (@t102)) % 33.96/34.13 (step @p108 :rule eq_resolve :premises (@p106 @p103)) % 33.96/34.13 (step @p109 :rule implies_elim :premises (@p108)) % 33.96/34.13 (step @p110 :rule chain_m_resolution :premises (@p109 @p91) :args (@t104 @t105 @t106)) % 33.96/34.13 (step @p111 :rule cnf_or_pos :args (@t104)) % 33.96/34.13 (step @p112 :rule reordering :premises (@p111) :args ((or @t92 @t90 @t100 (not @t104)))) % 33.96/34.13 (step @p113 :rule chain_m_resolution :premises (@p112 @p63 @p62 @p110) :args (@t100 @t94 (@list @t91 @t89 @t104))) % 33.96/34.13 (step @p114 :rule cnf_and_pos :args (@t100 0)) % 33.96/34.13 (step @p115 :rule reordering :premises (@p114) :args ((or @t99 @t107))) % 33.96/34.13 (step @p116 :rule chain_m_resolution :premises (@p115 @p113) :args (@t99 @t105 @t108)) % 33.96/34.13 (step @p117 :rule cong :premises (@p116 @p68) :args (@t109)) % 33.96/34.13 (step @p118 :rule trans :premises (@p117 @p67)) % 33.96/34.13 (step @p119 :rule instantiate :premises (@p91) :args ((@list @t109 @t86))) % 33.96/34.13 (step @p120 :rule aci_norm :args ((= (or @t112 @t30) (or @t111 @t110 @t73 @t72 @t30)))) % 33.96/34.13 (step @p121 :rule refl :args (@t30)) % 33.96/34.13 (step @p122 :rule aci_norm :args ((= (or @t111 (or @t110 @t74)) @t112))) % 33.96/34.13 (step @p123 :rule refl :args (@t110)) % 33.96/34.13 (step @p124 :rule nary_cong :premises (@p123 @p47) :args ((or @t110 @t75))) % 33.96/34.13 (step @p125 :rule bool-and-de-morgan :args (@t5 @t19 (and @t31))) % 33.96/34.13 (step @p126 :rule trans :premises (@p125 @p124)) % 33.96/34.13 (step @p127 :rule refl :args (@t111)) % 33.96/34.13 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((or @t111 (not (and @t5 @t19 @t31))))) % 33.96/34.13 (step @p129 :rule bool-and-de-morgan :args (@t8 @t5 (and @t19 @t31))) % 33.96/34.13 (step @p130 :rule trans :premises (@p129 @p128)) % 33.96/34.13 (step @p131 :rule trans :premises (@p130 @p122)) % 33.96/34.13 (step @p132 :rule nary_cong :premises (@p131 @p121) :args ((or (not @t32) @t30))) % 33.96/34.13 (step @p133 :rule trans :premises (@p132 @p120)) % 33.96/34.13 (step @p134 :rule bool-impl-elim :args (@t32 @t30)) % 33.96/34.13 (step @p135 :rule trans :premises (@p134 @p133)) % 33.96/34.13 (step @p136 :rule cong :premises (@p135) :args (@t33)) % 33.96/34.13 (step @p137 :rule eq_resolve :premises (@p11 @p136)) % 33.96/34.13 (step @p138 :rule instantiate :premises (@p137) :args (@t113)) % 33.96/34.13 (step @p139 :rule instantiate :premises (@p61) :args (@t114)) % 33.96/34.13 (step @p140 :rule instantiate :premises (@p7) :args (@t114)) % 33.96/34.13 (step @p141 :rule cnf_or_pos :args (@t122)) % 33.96/34.13 (step @p142 :rule reordering :premises (@p141) :args ((or @t121 @t92 @t119 @t90 @t117 (not @t122)))) % 33.96/34.13 (step @p143 :rule chain_m_resolution :premises (@p142 @p140 @p63 @p139 @p62 @p138) :args (@t117 (@list false false false false false) (@list @t120 @t91 @t118 @t89 @t122))) % 33.96/34.13 (step @p144 :rule cnf_and_pos :args (@t117 1)) % 33.96/34.13 (step @p145 :rule reordering :premises (@p144) :args ((or @t115 (not @t117)))) % 33.96/34.13 (step @p146 :rule chain_m_resolution :premises (@p145 @p143) :args (@t115 @t105 (@list @t117))) % 33.96/34.13 (step @p147 :rule aci_norm :args ((= (or (or @t111 @t73) @t18) (or @t111 @t73 @t18)))) % 33.96/34.13 (step @p148 :rule refl :args (@t18)) % 33.96/34.13 (step @p149 :rule bool-and-de-morgan :args (@t8 @t19 true)) % 33.96/34.13 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or (not @t20) @t18))) % 33.96/34.13 (step @p151 :rule trans :premises (@p150 @p147)) % 33.96/34.13 (step @p152 :rule bool-impl-elim :args (@t20 @t18)) % 33.96/34.13 (step @p153 :rule trans :premises (@p152 @p151)) % 33.96/34.13 (step @p154 :rule cong :premises (@p153) :args (@t21)) % 33.96/34.13 (step @p155 :rule eq_resolve :premises (@p6 @p154)) % 33.96/34.13 (step @p156 :rule instantiate :premises (@p155) :args (@t113)) % 33.96/34.13 (step @p157 :rule cnf_or_pos :args (@t123)) % 33.96/34.13 (step @p158 :rule reordering :premises (@p157) :args ((or @t121 @t92 @t116 (not @t123)))) % 33.96/34.13 (step @p159 :rule chain_m_resolution :premises (@p158 @p140 @p63 @p156) :args (@t116 @t94 (@list @t120 @t91 @t123))) % 33.96/34.13 (step @p160 :rule cnf_or_pos :args (@t131)) % 33.96/34.13 (step @p161 :rule reordering :premises (@p160) :args ((or @t130 @t129 @t128 (not @t131)))) % 33.96/34.13 (step @p162 :rule chain_m_resolution :premises (@p161 @p159 @p146 @p119) :args (@t128 @t94 (@list @t116 @t115 @t131))) % 33.96/34.13 (step @p163 :rule skolemize :premises (@p37)) % 33.96/34.13 (step @p164 :rule cnf_equiv_pos2 :args (@t128)) % 33.96/34.13 (step @p165 :rule reordering :premises (@p164) :args ((or @t127 @t132 (not @t128)))) % 33.96/34.13 (step @p166 :rule chain_m_resolution :premises (@p165 @p163 @p162) :args (@t132 @t133 (@list @t127 @t128))) % 33.96/34.13 (step @p167 :rule cnf_and_neg :args (@t126)) % 33.96/34.13 (step @p168 :rule chain_m_resolution :premises (@p167 @p166 @p118) :args ((not @t124) @t133 (@list @t126 @t125))) % 33.96/34.13 (step @p169 :rule skolemize :premises (@p168)) % 33.96/34.13 (step @p170 :rule cnf_or_neg :args (@t139 1)) % 33.96/34.13 (step @p171 :rule chain_m_resolution :premises (@p170 @p169) :args (@t140 @t141 @t142)) % 33.96/34.13 (step @p172 :rule bool-eq-true :args (@t144)) % 33.96/34.13 (step @p173 :rule eq-symm :args (true @t144)) % 33.96/34.13 (step @p174 :rule trans :premises (@p173 @p172)) % 33.96/34.13 (step @p175 :rule refl :args (@t144)) % 33.96/34.13 (step @p176 :rule eq-refl :args (@t85)) % 33.96/34.13 (step @p177 :rule cong :premises (@p176 @p175) :args (@t145)) % 33.96/34.13 (step @p178 :rule trans :premises (@p177 @p174)) % 33.96/34.13 (step @p179 :rule refl :args (@t119)) % 33.96/34.13 (step @p180 :rule refl :args (@t121)) % 33.96/34.13 (step @p181 :rule nary_cong :premises (@p180 @p179 @p178) :args (@t146)) % 33.96/34.13 (step @p182 :rule cong :premises (@p102 @p181) :args ((=> @t103 @t146))) % 33.96/34.13 (assume-push @p335 @t103) % 33.96/34.13 (step @p184 :rule instantiate :premises (@p91) :args ((@list @t78 @t85))) % 33.96/34.13 (step-pop @p336 :rule scope :premises (@p184)) % 33.96/34.13 (step @p185 :rule process_scope :premises (@p336) :args (@t146)) % 33.96/34.13 (step @p187 :rule eq_resolve :premises (@p185 @p182)) % 33.96/34.13 (step @p188 :rule implies_elim :premises (@p187)) % 33.96/34.13 (step @p189 :rule chain_m_resolution :premises (@p188 @p91) :args (@t147 @t105 @t106)) % 33.96/34.13 (step @p190 :rule cnf_or_pos :args (@t147)) % 33.96/34.13 (step @p191 :rule reordering :premises (@p190) :args ((or @t121 @t119 @t144 (not @t147)))) % 33.96/34.13 (step @p192 :rule chain_m_resolution :premises (@p191 @p140 @p139 @p189) :args (@t144 @t94 (@list @t120 @t118 @t147))) % 33.96/34.13 (step @p193 :rule cnf_and_pos :args (@t144 1)) % 33.96/34.13 (step @p194 :rule reordering :premises (@p193) :args ((or @t143 (not @t144)))) % 33.96/34.13 (step @p195 :rule chain_m_resolution :premises (@p194 @p192) :args (@t143 @t105 (@list @t144))) % 33.96/34.13 (step @p196 :rule instantiate :premises (@p195) :args (@t148)) % 33.96/34.13 (step @p197 :rule eq-symm :args (@t149 @t13)) % 33.96/34.13 (step @p198 :rule refl :args (@t13)) % 33.96/34.13 (step @p199 :rule eq-symm :args (@t11 @t9)) % 33.96/34.13 (step @p200 :rule cong :premises (@p199 @p198) :args (@t14)) % 33.96/34.13 (step @p201 :rule trans :premises (@p200 @p197)) % 33.96/34.13 (step @p202 :rule cong :premises (@p201) :args (@t16)) % 33.96/34.13 (step @p203 :rule eq_resolve :premises (@p5 @p202)) % 33.96/34.13 (step @p204 :rule refl :args (@t150)) % 33.96/34.13 (step @p205 :rule eq-symm :args (@t151 @t109)) % 33.96/34.13 (step @p206 :rule cong :premises (@p205 @p204) :args ((= @t152 @t150))) % 33.96/34.13 (step @p207 :rule eq-symm :args (@t150 @t152)) % 33.96/34.13 (step @p208 :rule trans :premises (@p207 @p206)) % 33.96/34.13 (step @p209 :rule refl :args (@t153)) % 33.96/34.13 (step @p210 :rule cong :premises (@p209 @p208) :args ((=> @t153 @t154))) % 33.96/34.13 (assume-push @p337 @t153) % 33.96/34.13 (step @p212 :rule instantiate :premises (@p203) :args ((@list @t78 @t76 @t109))) % 33.96/34.13 (step-pop @p338 :rule scope :premises (@p212)) % 33.96/34.13 (step @p213 :rule process_scope :premises (@p338) :args (@t154)) % 33.96/34.13 (step @p215 :rule eq_resolve :premises (@p213 @p210)) % 33.96/34.13 (step @p216 :rule implies_elim :premises (@p215)) % 33.96/34.13 (step @p217 :rule chain_m_resolution :premises (@p216 @p203) :args (@t156 @t105 (@list @t153))) % 33.96/34.13 (step @p218 :rule instantiate :premises (@p4) :args ((@list @t76 @t78))) % 33.96/34.13 (step @p219 :rule cnf_equiv_pos1 :args (@t156)) % 33.96/34.13 (step @p220 :rule reordering :premises (@p219) :args ((or (not @t155) @t150 (not @t156)))) % 33.96/34.13 (step @p221 :rule chain_m_resolution :premises (@p220 @p218 @p217) :args (@t150 @t157 (@list @t155 @t156))) % 33.96/34.13 (step @p222 :rule instantiate :premises (@p221) :args (@t148)) % 33.96/34.13 (step @p223 :rule bool-double-not-elim :args (@t137)) % 33.96/34.13 (step @p224 :rule refl :args (@t139)) % 33.96/34.13 (step @p225 :rule nary_cong :premises (@p224 @p223) :args ((or @t139 (not @t138)))) % 33.96/34.13 (step @p226 :rule cnf_or_neg :args (@t139 0)) % 33.96/34.13 (step @p227 :rule eq_resolve :premises (@p226 @p225)) % 33.96/34.13 (step @p228 :rule reordering :premises (@p227) :args ((or @t137 @t139))) % 33.96/34.13 (step @p229 :rule chain_m_resolution :premises (@p228 @p169) :args (@t137 @t141 @t142)) % 33.96/34.13 (step @p230 :rule cnf_equiv_pos1 :args (@t161)) % 33.96/34.13 (step @p231 :rule reordering :premises (@p230) :args ((or @t138 @t160 (not @t161)))) % 33.96/34.13 (step @p232 :rule chain_m_resolution :premises (@p231 @p229 @p222) :args (@t160 @t157 (@list @t137 @t161))) % 33.96/34.13 (step @p233 :rule cnf_and_pos :args (@t160 0)) % 33.96/34.13 (step @p234 :rule reordering :premises (@p233) :args ((or @t159 @t162))) % 33.96/34.13 (step @p235 :rule chain_m_resolution :premises (@p234 @p232) :args (@t159 @t105 @t163)) % 33.96/34.13 (step @p236 :rule cnf_or_pos :args (@t167)) % 33.96/34.13 (step @p237 :rule reordering :premises (@p236) :args ((or @t165 @t166 (not @t167)))) % 33.96/34.13 (step @p238 :rule chain_m_resolution :premises (@p237 @p235 @p196) :args (@t165 @t157 (@list @t159 @t167))) % 33.96/34.13 (step @p239 :rule aci_norm :args ((= @t175 (or @t73 @t72 @t173 @t172 @t171 @t170)))) % 33.96/34.13 (step @p240 :rule cong :premises (@p239) :args (@t176)) % 33.96/34.13 (step @p241 :rule quant-merge-prenex :args ((= (forall @t4 @t178) @t176))) % 33.96/34.13 (step @p242 :rule alpha_equiv :args (@t179 (@list @t168) (@list @t11))) % 33.96/34.13 (step @p243 :rule refl :args (@t72)) % 33.96/34.13 (step @p244 :rule refl :args (@t73)) % 33.96/34.13 (step @p245 :rule nary_cong :premises (@p244 @p243 @p242) :args (@t180)) % 33.96/34.13 (step @p246 :rule quant-miniscope-or :args ((= @t178 @t180))) % 33.96/34.13 (step @p247 :rule trans :premises (@p246 @p245)) % 33.96/34.13 (step @p248 :rule symm :premises (@p247)) % 33.96/34.13 (step @p249 :rule cong :premises (@p248) :args ((forall @t4 @t186))) % 33.96/34.13 (step @p250 :rule trans :premises (@p249 @p241)) % 33.96/34.13 (step @p251 :rule trans :premises (@p250 @p240)) % 33.96/34.13 (step @p252 :rule aci_norm :args ((= (or @t74 @t185) @t186))) % 33.96/34.13 (step @p253 :rule refl :args (@t185)) % 33.96/34.13 (step @p254 :rule nary_cong :premises (@p47 @p253) :args ((or @t75 @t185))) % 33.96/34.13 (step @p255 :rule trans :premises (@p254 @p252)) % 33.96/34.13 (step @p256 :rule bool-impl-elim :args (@t54 @t185)) % 33.96/34.13 (step @p257 :rule trans :premises (@p256 @p255)) % 33.96/34.13 (step @p258 :rule cong :premises (@p257) :args ((forall @t4 (=> @t54 @t185)))) % 33.96/34.13 (step @p259 :rule trans :premises (@p258 @p251)) % 33.96/34.13 (step @p260 :rule aci_norm :args ((= (or (or @t183 @t182) (or @t181 @t46)) @t184))) % 33.96/34.13 (step @p261 :rule bool-impl-elim :args (@t47 @t46)) % 33.96/34.13 (step @p262 :rule bool-and-de-morgan :args (@t50 @t49 true)) % 33.96/34.13 (step @p263 :rule nary_cong :premises (@p262 @p261) :args ((or (not @t51) @t48))) % 33.96/34.13 (step @p264 :rule trans :premises (@p263 @p260)) % 33.96/34.13 (step @p265 :rule bool-impl-elim :args (@t51 @t48)) % 33.96/34.13 (step @p266 :rule trans :premises (@p265 @p264)) % 33.96/34.13 (step @p267 :rule cong :premises (@p266) :args (@t53)) % 33.96/34.13 (step @p268 :rule cong :premises (@p87 @p267) :args (@t55)) % 33.96/34.13 (step @p269 :rule cong :premises (@p268) :args (@t56)) % 33.96/34.13 (step @p270 :rule trans :premises (@p269 @p259)) % 33.96/34.13 (step @p271 :rule eq_resolve :premises (@p31 @p270)) % 33.96/34.13 (step @p272 :rule instantiate :premises (@p271) :args ((@list @t134 @t77 @t85))) % 33.96/34.13 (step @p273 :rule true_intro :premises (@p229)) % 33.96/34.13 (step @p274 :rule symm :premises (@p116)) % 33.96/34.13 (step @p275 :rule cong :premises (@p274 @p68) :args (@t84)) % 33.96/34.13 (step @p276 :rule trans :premises (@p66 @p275)) % 33.96/34.13 (step @p277 :rule refl :args (@t134)) % 33.96/34.13 (step @p278 :rule cong :premises (@p277 @p276) :args (@t187)) % 33.96/34.13 (step @p279 :rule trans :premises (@p278 @p273)) % 33.96/34.13 (step @p280 :rule true_elim :premises (@p279)) % 33.96/34.13 (step @p281 :rule cnf_or_pos :args (@t190)) % 33.96/34.13 (step @p282 :rule reordering :premises (@p281) :args ((or @t121 @t92 @t119 @t90 @t189 @t188 (not @t190)))) % 33.96/34.13 (step @p283 :rule chain_m_resolution :premises (@p282 @p140 @p63 @p139 @p62 @p280 @p272) :args (@t188 (@list false false false false false false) (@list @t120 @t91 @t118 @t89 @t187 @t190))) % 33.96/34.13 (step @p284 :rule cnf_and_pos :args (@t100 1)) % 33.96/34.13 (step @p285 :rule reordering :premises (@p284) :args ((or @t98 @t107))) % 33.96/34.13 (step @p286 :rule chain_m_resolution :premises (@p285 @p113) :args (@t98 @t105 @t108)) % 33.96/34.13 (step @p287 :rule instantiate :premises (@p286) :args (@t148)) % 33.96/34.13 (step @p288 :rule cnf_and_pos :args (@t160 1)) % 33.96/34.13 (step @p289 :rule reordering :premises (@p288) :args ((or @t158 @t162))) % 33.96/34.13 (step @p290 :rule chain_m_resolution :premises (@p289 @p232) :args (@t158 @t105 @t163)) % 33.96/34.13 (step @p291 :rule cnf_or_pos :args (@t194)) % 33.96/34.13 (step @p292 :rule reordering :premises (@p291) :args ((or @t193 @t192 (not @t194)))) % 33.96/34.13 (step @p293 :rule chain_m_resolution :premises (@p292 @p290 @p287) :args (@t192 @t157 (@list @t158 @t194))) % 33.96/34.13 (step @p294 :rule refl :args (@t195)) % 33.96/34.13 (step @p295 :rule refl :args (@t196)) % 33.96/34.13 (step @p296 :rule refl :args (@t197)) % 33.96/34.13 (step @p297 :rule bool-double-not-elim :args (@t136)) % 33.96/34.13 (step @p298 :rule nary_cong :premises (@p297 @p296 @p295 @p294) :args ((or (not @t140) @t197 @t196 @t195))) % 33.96/34.13 (assume-push @p339 @t195) % 33.96/34.13 (assume-push @p340 @t192) % 33.96/34.13 (step @p301 :rule evaluate :args ((= false true))) % 33.96/34.13 (step @p302 :rule true_intro :premises (@p293)) % 33.96/34.13 (step @p303 :rule false_intro :premises (@p171)) % 33.96/34.13 (step @p304 :rule symm :premises (@p283)) % 33.96/34.13 (step @p305 :rule refl :args (@t77)) % 33.96/34.13 (step @p306 :rule cong :premises (@p305 @p238) :args (@t191)) % 33.96/34.13 (step @p307 :rule trans :premises (@p306 @p304)) % 33.96/34.13 (step @p308 :rule cong :premises (@p277 @p307) :args (@t192)) % 33.96/34.13 (step @p309 :rule trans :premises (@p308 @p303)) % 33.96/34.13 (step @p310 :rule symm :premises (@p309)) % 33.96/34.13 (step @p311 :rule trans :premises (@p310 @p302)) % 33.96/34.13 (step @p312 false :rule eq_resolve :premises (@p311 @p301)) % 33.96/34.13 (step-pop @p341 :rule scope :premises (@p312)) % 33.96/34.13 (step-pop @p342 :rule scope :premises (@p341)) % 33.96/34.13 (step @p313 :rule process_scope :premises (@p342) :args (false)) % 33.96/34.13 (assume-push @p343 @t140) % 33.96/34.13 (assume-push @p344 @t165) % 33.96/34.13 (assume-push @p345 @t188) % 33.96/34.13 (assume-push @p346 @t192) % 33.96/34.13 (step @p303 :rule false_intro :premises (@p171)) % 33.96/34.13 (step @p304 :rule symm :premises (@p283)) % 33.96/34.13 (step @p305 :rule refl :args (@t77)) % 33.96/34.13 (step @p306 :rule cong :premises (@p305 @p238) :args (@t191)) % 33.96/34.13 (step @p307 :rule trans :premises (@p306 @p304)) % 33.96/34.13 (step @p308 :rule cong :premises (@p277 @p307) :args (@t192)) % 33.96/34.13 (step @p320 :rule trans :premises (@p308 @p303)) % 33.96/34.13 (step @p321 :rule false_elim :premises (@p320)) % 33.96/34.13 (step @p322 :rule and_intro :premises (@p321 @p293)) % 33.96/34.13 (step-pop @p347 :rule scope :premises (@p322)) % 33.96/34.13 (step-pop @p348 :rule scope :premises (@p347)) % 33.96/34.13 (step-pop @p349 :rule scope :premises (@p348)) % 33.96/34.13 (step-pop @p350 :rule scope :premises (@p349)) % 33.96/34.13 (step @p323 :rule process_scope :premises (@p350) :args (@t198)) % 33.96/34.13 (step @p328 :rule implies_elim :premises (@p323)) % 33.96/34.13 (step @p329 :rule resolution :premises (@p328 @p313) :args (true @t198)) % 33.96/34.13 (step @p330 :rule not_and :premises (@p329)) % 33.96/34.13 (step @p331 :rule eq_resolve :premises (@p330 @p298)) % 33.96/34.13 (step @p332 false :rule chain_m_resolution :premises (@p331 @p293 @p283 @p238 @p171) :args (false (@list false false false true) (@list @t192 @t188 @t165 @t136))) % 33.96/34.13 ) % 33.96/34.13 % SZS output end Proof % 33.96/34.13 % cvc5 exiting %------------------------------------------------------------------------------