%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HAL001+1 : TPTP v9.2.1. Released v2.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.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 08:22:47 AM UTC 2026 % Result : Theorem 66.33s 66.52s % Output : Proof 66.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HAL001+1 : TPTP v9.2.1. Released v2.6.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n016.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 02:12:54 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 66.33/66.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 66.33/66.52 --- Run --no-e-matching --full-saturate-quant at 6... % 66.33/66.52 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 66.33/66.52 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 66.33/66.52 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 66.33/66.52 --- Run --trigger-sel=max --full-saturate-quant at 15... % 66.33/66.52 % SZS status Theorem % 66.33/66.52 % SZS output start Proof % 66.33/66.52 ( % 66.33/66.52 (declare-sort $$unsorted 0) % 66.33/66.52 (declare-const tptp.gammma $$unsorted) % 66.33/66.52 (declare-const tptp.h $$unsorted) % 66.33/66.52 (declare-const tptp.g $$unsorted) % 66.33/66.52 (declare-const tptp.f $$unsorted) % 66.33/66.52 (declare-const tptp.r $$unsorted) % 66.33/66.52 (declare-const tptp.beta $$unsorted) % 66.33/66.52 (declare-const tptp.zero (-> $$unsorted $$unsorted)) % 66.33/66.52 (declare-const tptp.delta $$unsorted) % 66.33/66.52 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 66.33/66.52 (declare-const tptp.e $$unsorted) % 66.33/66.52 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 66.33/66.52 (declare-const tptp.gamma $$unsorted) % 66.33/66.52 (declare-const tptp.morphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 66.33/66.52 (declare-const tptp.injection (-> $$unsorted Bool)) % 66.33/66.52 (declare-const tptp.alpha $$unsorted) % 66.33/66.52 (declare-const tptp.surjection (-> $$unsorted Bool)) % 66.33/66.52 (declare-const tptp.exact (-> $$unsorted $$unsorted Bool)) % 66.33/66.52 (declare-const tptp.a $$unsorted) % 66.33/66.52 (declare-const tptp.d $$unsorted) % 66.33/66.52 (declare-const tptp.commute (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 66.33/66.52 (declare-const tptp.b $$unsorted) % 66.33/66.52 (declare-const tptp.subtract (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 66.33/66.52 (declare-const tptp.c $$unsorted) % 66.33/66.52 (define @t1 () (@var "Cod" $$unsorted)) % 66.33/66.52 (define @t2 () (tptp.zero @t1)) % 66.33/66.52 (define @t3 () (@var "Dom" $$unsorted)) % 66.33/66.52 (define @t4 () (tptp.zero @t3)) % 66.33/66.52 (define @t5 () (@var "Morphism" $$unsorted)) % 66.33/66.52 (define @t6 () (= (tptp.apply @t5 @t4) @t2)) % 66.33/66.52 (define @t7 () (@var "El" $$unsorted)) % 66.33/66.52 (define @t8 () (tptp.element (tptp.apply @t5 @t7) @t1)) % 66.33/66.52 (define @t9 () (tptp.element @t7 @t3)) % 66.33/66.52 (define @t10 () (@list @t7)) % 66.33/66.52 (define @t11 () (forall @t10 (=> @t9 @t8))) % 66.33/66.52 (define @t12 () (and @t11 @t6)) % 66.33/66.52 (define @t13 () (tptp.morphism @t5 @t3 @t1)) % 66.33/66.52 (define @t14 () (=> @t13 @t12)) % 66.33/66.52 (define @t15 () (@list @t5 @t3 @t1)) % 66.33/66.52 (define @t16 () (forall @t15 @t14)) % 66.33/66.52 (define @t17 () (@var "El2" $$unsorted)) % 66.33/66.52 (define @t18 () (@var "El1" $$unsorted)) % 66.33/66.52 (define @t19 () (= @t18 @t17)) % 66.33/66.52 (define @t20 () (tptp.apply @t5 @t17)) % 66.33/66.52 (define @t21 () (tptp.apply @t5 @t18)) % 66.33/66.52 (define @t22 () (= @t21 @t20)) % 66.33/66.52 (define @t23 () (tptp.element @t17 @t3)) % 66.33/66.52 (define @t24 () (tptp.element @t18 @t3)) % 66.33/66.52 (define @t25 () (and @t24 @t23 @t22)) % 66.33/66.52 (define @t26 () (@list @t18 @t17)) % 66.33/66.52 (define @t27 () (forall @t26 (=> @t25 @t19))) % 66.33/66.52 (define @t28 () (tptp.injection @t5)) % 66.33/66.52 (define @t29 () (and @t28 @t13)) % 66.33/66.52 (define @t30 () (=> @t29 @t27)) % 66.33/66.52 (define @t31 () (forall @t15 @t30)) % 66.33/66.52 (define @t32 () (and @t13 @t27)) % 66.33/66.52 (define @t33 () (=> @t32 @t28)) % 66.33/66.52 (define @t34 () (forall @t15 @t33)) % 66.33/66.52 (define @t35 () (@var "ElCod" $$unsorted)) % 66.33/66.52 (define @t36 () (@var "ElDom" $$unsorted)) % 66.33/66.52 (define @t37 () (tptp.element @t36 @t3)) % 66.33/66.52 (define @t38 () (@list @t36)) % 66.33/66.52 (define @t39 () (forall (@list @t35) (=> (tptp.element @t35 @t1) (exists @t38 (and @t37 (= (tptp.apply @t5 @t36) @t35)))))) % 66.33/66.52 (define @t40 () (tptp.surjection @t5)) % 66.33/66.52 (define @t41 () (@var "ElCodDom" $$unsorted)) % 66.33/66.52 (define @t42 () (@var "Morphism1" $$unsorted)) % 66.33/66.52 (define @t43 () (tptp.apply @t42 @t36)) % 66.33/66.52 (define @t44 () (and @t37 (= @t43 @t41))) % 66.33/66.52 (define @t45 () (exists @t38 @t44)) % 66.33/66.52 (define @t46 () (@var "Morphism2" $$unsorted)) % 66.33/66.52 (define @t47 () (tptp.apply @t46 @t41)) % 66.33/66.52 (define @t48 () (@var "CodDom" $$unsorted)) % 66.33/66.52 (define @t49 () (tptp.element @t41 @t48)) % 66.33/66.52 (define @t50 () (and @t49 (= @t47 @t2))) % 66.33/66.52 (define @t51 () (= @t50 @t45)) % 66.33/66.52 (define @t52 () (@list @t41)) % 66.33/66.52 (define @t53 () (forall @t52 @t51)) % 66.33/66.52 (define @t54 () (tptp.morphism @t46 @t48 @t1)) % 66.33/66.52 (define @t55 () (tptp.morphism @t42 @t3 @t48)) % 66.33/66.52 (define @t56 () (tptp.exact @t42 @t46)) % 66.33/66.52 (define @t57 () (and @t56 @t55 @t54)) % 66.33/66.52 (define @t58 () (=> @t57 @t53)) % 66.33/66.52 (define @t59 () (@list @t42 @t46 @t3 @t48 @t1)) % 66.33/66.52 (define @t60 () (forall @t59 @t58)) % 66.33/66.52 (define @t61 () (@var "M3" $$unsorted)) % 66.33/66.52 (define @t62 () (@var "M4" $$unsorted)) % 66.33/66.52 (define @t63 () (@var "M1" $$unsorted)) % 66.33/66.52 (define @t64 () (@var "M2" $$unsorted)) % 66.33/66.52 (define @t65 () (= (tptp.apply @t64 (tptp.apply @t63 @t36)) (tptp.apply @t62 (tptp.apply @t61 @t36)))) % 66.33/66.52 (define @t66 () (forall @t38 (=> @t37 @t65))) % 66.33/66.52 (define @t67 () (@var "DomCod2" $$unsorted)) % 66.33/66.52 (define @t68 () (tptp.morphism @t62 @t67 @t1)) % 66.33/66.52 (define @t69 () (tptp.morphism @t61 @t3 @t67)) % 66.33/66.52 (define @t70 () (@var "DomCod1" $$unsorted)) % 66.33/66.52 (define @t71 () (tptp.morphism @t64 @t70 @t1)) % 66.33/66.52 (define @t72 () (tptp.morphism @t63 @t3 @t70)) % 66.33/66.52 (define @t73 () (tptp.commute @t63 @t64 @t61 @t62)) % 66.33/66.52 (define @t74 () (and @t73 @t72 @t71 @t69 @t68)) % 66.33/66.52 (define @t75 () (=> @t74 @t66)) % 66.33/66.52 (define @t76 () (@list @t63 @t64 @t61 @t62 @t3 @t70 @t67 @t1)) % 66.33/66.52 (define @t77 () (forall @t76 @t75)) % 66.33/66.52 (define @t78 () (tptp.subtract @t3 @t18 @t17)) % 66.33/66.52 (define @t79 () (tptp.element @t78 @t3)) % 66.33/66.52 (define @t80 () (and @t24 @t23)) % 66.33/66.52 (define @t81 () (@list @t3 @t18 @t17)) % 66.33/66.52 (define @t82 () (forall @t81 (=> @t80 @t79))) % 66.33/66.52 (define @t83 () (tptp.subtract @t3 @t7 @t7)) % 66.33/66.52 (define @t84 () (=> @t9 (= @t83 @t4))) % 66.33/66.52 (define @t85 () (@list @t3 @t7)) % 66.33/66.52 (define @t86 () (forall @t85 @t84)) % 66.33/66.52 (define @t87 () (tptp.subtract @t3 @t18 @t78)) % 66.33/66.52 (define @t88 () (=> @t80 (= @t87 @t17))) % 66.33/66.52 (define @t89 () (forall @t81 @t88)) % 66.33/66.52 (define @t90 () (= (tptp.apply @t5 @t78) (tptp.subtract @t1 @t21 @t20))) % 66.33/66.52 (define @t91 () (forall @t26 (=> @t80 @t90))) % 66.33/66.52 (define @t92 () (=> @t13 @t91)) % 66.33/66.52 (define @t93 () (forall @t15 @t92)) % 66.33/66.52 (define @t94 () (tptp.morphism tptp.alpha tptp.a tptp.b)) % 66.33/66.52 (define @t95 () (tptp.morphism tptp.beta tptp.b tptp.c)) % 66.33/66.52 (define @t96 () (tptp.morphism tptp.gamma tptp.d tptp.e)) % 66.33/66.52 (define @t97 () (tptp.morphism tptp.delta tptp.e tptp.r)) % 66.33/66.52 (define @t98 () (tptp.morphism tptp.f tptp.a tptp.d)) % 66.33/66.52 (define @t99 () (tptp.morphism tptp.g tptp.b tptp.e)) % 66.33/66.52 (define @t100 () (tptp.morphism tptp.h tptp.c tptp.r)) % 66.33/66.52 (define @t101 () (tptp.injection tptp.alpha)) % 66.33/66.52 (define @t102 () (tptp.injection tptp.gamma)) % 66.33/66.52 (define @t103 () (tptp.exact tptp.alpha tptp.beta)) % 66.33/66.52 (define @t104 () (tptp.commute tptp.alpha tptp.g tptp.f tptp.gamma)) % 66.33/66.52 (define @t105 () (tptp.commute tptp.beta tptp.h tptp.g tptp.delta)) % 66.33/66.52 (define @t106 () (tptp.injection tptp.f)) % 66.33/66.52 (define @t107 () (tptp.injection tptp.h)) % 66.33/66.52 (define @t108 () (tptp.injection tptp.g)) % 66.33/66.52 (define @t109 () (not @t22)) % 66.33/66.52 (define @t110 () (not @t23)) % 66.33/66.52 (define @t111 () (not @t24)) % 66.33/66.52 (define @t112 () (or @t111 @t110 @t109 @t19)) % 66.33/66.52 (define @t113 () (forall @t26 @t112)) % 66.33/66.52 (define @t114 () (not @t113)) % 66.33/66.52 (define @t115 () (not @t13)) % 66.33/66.52 (define @t116 () (and @t13 @t113)) % 66.33/66.52 (define @t117 () (or @t111 @t110 @t109)) % 66.33/66.52 (define @t118 () (forall @t26 (or (not (tptp.element @t18 tptp.b)) (not (tptp.element @t17 tptp.b)) (not (= (tptp.apply tptp.g @t18) (tptp.apply tptp.g @t17))) @t19))) % 66.33/66.52 (define @t119 () (not @t118)) % 66.33/66.52 (define @t120 () (not @t99)) % 66.33/66.52 (define @t121 () (or @t120 @t119 @t108)) % 66.33/66.52 (define @t122 () (@quantifiers_skolemize @t118 1)) % 66.33/66.52 (define @t123 () (tptp.apply tptp.g @t122)) % 66.33/66.52 (define @t124 () (@quantifiers_skolemize @t118 0)) % 66.33/66.52 (define @t125 () (tptp.apply tptp.g @t124)) % 66.33/66.52 (define @t126 () (= @t125 @t123)) % 66.33/66.52 (define @t127 () (= @t124 @t122)) % 66.33/66.52 (define @t128 () (not @t126)) % 66.33/66.52 (define @t129 () (tptp.element @t122 tptp.b)) % 66.33/66.52 (define @t130 () (not @t129)) % 66.33/66.52 (define @t131 () (tptp.element @t124 tptp.b)) % 66.33/66.52 (define @t132 () (not @t131)) % 66.33/66.52 (define @t133 () (or @t132 @t130 @t128 @t127)) % 66.33/66.52 (define @t134 () (@list true)) % 66.33/66.52 (define @t135 () (@list @t133)) % 66.33/66.52 (define @t136 () (= @t4 @t83)) % 66.33/66.52 (define @t137 () (tptp.subtract tptp.b @t124 @t124)) % 66.33/66.52 (define @t138 () (tptp.zero tptp.b)) % 66.33/66.52 (define @t139 () (= @t138 @t137)) % 66.33/66.52 (define @t140 () (or @t132 @t139)) % 66.33/66.52 (define @t141 () (@list false false)) % 66.33/66.52 (define @t142 () (tptp.subtract tptp.b @t122 @t122)) % 66.33/66.52 (define @t143 () (= @t138 @t142)) % 66.33/66.52 (define @t144 () (or @t130 @t143)) % 66.33/66.52 (define @t145 () (@var "BOUND_VARIABLE_7822" $$unsorted)) % 66.33/66.52 (define @t146 () (@var "BOUND_VARIABLE_7820" $$unsorted)) % 66.33/66.52 (define @t147 () (= (tptp.apply @t5 (tptp.subtract @t3 @t146 @t145)) (tptp.subtract @t1 (tptp.apply @t5 @t146) (tptp.apply @t5 @t145)))) % 66.33/66.52 (define @t148 () (not (tptp.element @t145 @t3))) % 66.33/66.52 (define @t149 () (not (tptp.element @t146 @t3))) % 66.33/66.52 (define @t150 () (or @t149 @t148 @t147)) % 66.33/66.52 (define @t151 () (or @t115 @t150)) % 66.33/66.52 (define @t152 () (forall (@list @t5 @t3 @t1 @t146 @t145) @t151)) % 66.33/66.52 (define @t153 () (@list @t146 @t145)) % 66.33/66.52 (define @t154 () (forall @t153 @t151)) % 66.33/66.52 (define @t155 () (forall @t153 @t150)) % 66.33/66.52 (define @t156 () (@list @t18 @t17)) % 66.33/66.52 (define @t157 () (or @t115 @t155)) % 66.33/66.52 (define @t158 () (or @t111 @t110 @t90)) % 66.33/66.52 (define @t159 () (forall @t26 @t158)) % 66.33/66.52 (define @t160 () (or @t111 @t110)) % 66.33/66.52 (define @t161 () (not @t80)) % 66.33/66.52 (define @t162 () (tptp.subtract tptp.e @t123 @t123)) % 66.33/66.52 (define @t163 () (= (tptp.apply tptp.g @t142) @t162)) % 66.33/66.52 (define @t164 () (or @t120 @t130 @t130 @t163)) % 66.33/66.52 (define @t165 () (@list false false false)) % 66.33/66.52 (define @t166 () (tptp.subtract tptp.b @t124 @t122)) % 66.33/66.52 (define @t167 () (tptp.apply tptp.g @t166)) % 66.33/66.52 (define @t168 () (= @t167 (tptp.subtract tptp.e @t125 @t123))) % 66.33/66.52 (define @t169 () (or @t120 @t132 @t130 @t168)) % 66.33/66.52 (define @t170 () (@list false false false false)) % 66.33/66.52 (define @t171 () (@var "BOUND_VARIABLE_7726" $$unsorted)) % 66.33/66.52 (define @t172 () (not (= @t171 @t43))) % 66.33/66.52 (define @t173 () (not @t37)) % 66.33/66.52 (define @t174 () (or @t173 @t172)) % 66.33/66.52 (define @t175 () (forall @t38 @t174)) % 66.33/66.52 (define @t176 () (not @t175)) % 66.33/66.52 (define @t177 () (and (tptp.element @t171 @t48) (= @t2 (tptp.apply @t46 @t171)))) % 66.33/66.52 (define @t178 () (= @t177 @t176)) % 66.33/66.52 (define @t179 () (not @t54)) % 66.33/66.52 (define @t180 () (not @t55)) % 66.33/66.52 (define @t181 () (not @t56)) % 66.33/66.52 (define @t182 () (or @t181 @t180 @t179 @t178)) % 66.33/66.52 (define @t183 () (forall (@list @t42 @t46 @t3 @t48 @t1 @t171) @t182)) % 66.33/66.52 (define @t184 () (@list @t171)) % 66.33/66.52 (define @t185 () (forall @t184 @t182)) % 66.33/66.52 (define @t186 () (forall @t184 @t178)) % 66.33/66.52 (define @t187 () (or @t181 @t180 @t179 @t186)) % 66.33/66.52 (define @t188 () (= @t41 @t43)) % 66.33/66.52 (define @t189 () (forall @t52 (= (and @t49 (= @t2 @t47)) (not (forall @t38 (or @t173 (not @t188))))))) % 66.33/66.52 (define @t190 () (or @t181 @t180 @t179 @t189)) % 66.33/66.52 (define @t191 () (or @t181 @t180 @t179)) % 66.33/66.52 (define @t192 () (and @t37 @t188)) % 66.33/66.52 (define @t193 () (forall @t38 (not @t192))) % 66.33/66.52 (define @t194 () (not @t193)) % 66.33/66.52 (define @t195 () (tptp.apply tptp.alpha @t36)) % 66.33/66.52 (define @t196 () (not (tptp.element @t36 tptp.a))) % 66.33/66.52 (define @t197 () (forall @t38 (or @t196 (not (= @t195 @t137))))) % 66.33/66.52 (define @t198 () (not @t197)) % 66.33/66.52 (define @t199 () (tptp.apply tptp.beta @t137)) % 66.33/66.52 (define @t200 () (tptp.zero tptp.c)) % 66.33/66.52 (define @t201 () (= @t200 @t199)) % 66.33/66.52 (define @t202 () (tptp.element @t137 tptp.b)) % 66.33/66.52 (define @t203 () (and @t202 @t201)) % 66.33/66.52 (define @t204 () (= @t203 @t198)) % 66.33/66.52 (define @t205 () (not @t95)) % 66.33/66.52 (define @t206 () (not @t94)) % 66.33/66.52 (define @t207 () (not @t103)) % 66.33/66.52 (define @t208 () (or @t207 @t206 @t205 @t204)) % 66.33/66.52 (define @t209 () (tptp.apply tptp.beta @t138)) % 66.33/66.52 (define @t210 () (@var "BOUND_VARIABLE_7594" $$unsorted)) % 66.33/66.52 (define @t211 () (or (not (tptp.element @t210 @t3)) (tptp.element (tptp.apply @t5 @t210) @t1))) % 66.33/66.52 (define @t212 () (and @t211 @t6)) % 66.33/66.52 (define @t213 () (or @t115 @t212)) % 66.33/66.52 (define @t214 () (forall (@list @t5 @t3 @t1 @t210) @t213)) % 66.33/66.52 (define @t215 () (@list @t210)) % 66.33/66.52 (define @t216 () (forall @t215 @t213)) % 66.33/66.52 (define @t217 () (forall @t215 @t6)) % 66.33/66.52 (define @t218 () (forall @t215 @t211)) % 66.33/66.52 (define @t219 () (and @t218 @t217)) % 66.33/66.52 (define @t220 () (forall @t215 @t212)) % 66.33/66.52 (define @t221 () (or @t115 @t220)) % 66.33/66.52 (define @t222 () (and (forall @t10 (or (not @t9) @t8)) @t6)) % 66.33/66.52 (define @t223 () (= @t209 @t200)) % 66.33/66.52 (define @t224 () (tptp.apply tptp.beta @t124)) % 66.33/66.52 (define @t225 () (tptp.element @t224 tptp.c)) % 66.33/66.52 (define @t226 () (or @t132 @t225)) % 66.33/66.52 (define @t227 () (and @t226 @t223)) % 66.33/66.52 (define @t228 () (or @t205 @t227)) % 66.33/66.52 (define @t229 () (not @t227)) % 66.33/66.52 (define @t230 () (@list false)) % 66.33/66.52 (define @t231 () (@list @t227)) % 66.33/66.52 (define @t232 () (@list tptp.b @t124 @t124)) % 66.33/66.52 (define @t233 () (or @t132 @t132 @t202)) % 66.33/66.52 (define @t234 () (@quantifiers_skolemize @t197 0)) % 66.33/66.52 (define @t235 () (tptp.apply tptp.alpha @t234)) % 66.33/66.52 (define @t236 () (= @t137 @t235)) % 66.33/66.52 (define @t237 () (not @t236)) % 66.33/66.52 (define @t238 () (tptp.element @t234 tptp.a)) % 66.33/66.52 (define @t239 () (not @t238)) % 66.33/66.52 (define @t240 () (or @t239 @t237)) % 66.33/66.52 (define @t241 () (not @t240)) % 66.33/66.52 (define @t242 () (not (= @t235 @t137))) % 66.33/66.52 (define @t243 () (or @t239 @t242)) % 66.33/66.52 (define @t244 () (not @t243)) % 66.33/66.52 (define @t245 () (@list @t240)) % 66.33/66.52 (define @t246 () (@var "BOUND_VARIABLE_7772" $$unsorted)) % 66.33/66.52 (define @t247 () (= (tptp.apply @t64 (tptp.apply @t63 @t246)) (tptp.apply @t62 (tptp.apply @t61 @t246)))) % 66.33/66.52 (define @t248 () (not (tptp.element @t246 @t3))) % 66.33/66.52 (define @t249 () (not @t68)) % 66.33/66.52 (define @t250 () (not @t69)) % 66.33/66.52 (define @t251 () (not @t71)) % 66.33/66.52 (define @t252 () (not @t72)) % 66.33/66.52 (define @t253 () (not @t73)) % 66.33/66.52 (define @t254 () (or @t253 @t252 @t251 @t250 @t249 @t248 @t247)) % 66.33/66.52 (define @t255 () (or @t248 @t247)) % 66.33/66.52 (define @t256 () (or @t253 @t252 @t251 @t250 @t249 @t255)) % 66.33/66.52 (define @t257 () (@list @t63 @t64 @t61 @t62 @t3 @t70 @t67 @t1 @t246)) % 66.33/66.52 (define @t258 () (forall @t257 @t256)) % 66.33/66.52 (define @t259 () (@list @t246)) % 66.33/66.52 (define @t260 () (forall @t259 @t256)) % 66.33/66.52 (define @t261 () (forall @t259 @t255)) % 66.33/66.52 (define @t262 () (or @t253 @t252 @t251 @t250 @t249 @t261)) % 66.33/66.52 (define @t263 () (forall @t38 (or @t173 @t65))) % 66.33/66.52 (define @t264 () (or @t253 @t252 @t251 @t250 @t249 @t263)) % 66.33/66.52 (define @t265 () (or @t253 @t252 @t251 @t250 @t249)) % 66.33/66.52 (define @t266 () (tptp.apply tptp.f @t234)) % 66.33/66.52 (define @t267 () (tptp.apply tptp.gamma @t266)) % 66.33/66.52 (define @t268 () (tptp.apply tptp.g @t235)) % 66.33/66.52 (define @t269 () (= @t268 @t267)) % 66.33/66.52 (define @t270 () (not @t96)) % 66.33/66.52 (define @t271 () (not @t98)) % 66.33/66.52 (define @t272 () (not @t104)) % 66.33/66.52 (define @t273 () (or @t272 @t206 @t120 @t271 @t270 @t239 @t269)) % 66.33/66.52 (define @t274 () (@list false false false false false false false)) % 66.33/66.52 (define @t275 () (forall @t38 (or @t196 (not (= @t195 @t166))))) % 66.33/66.52 (define @t276 () (not @t275)) % 66.33/66.52 (define @t277 () (tptp.apply tptp.beta @t166)) % 66.33/66.52 (define @t278 () (= @t200 @t277)) % 66.33/66.52 (define @t279 () (tptp.element @t166 tptp.b)) % 66.33/66.52 (define @t280 () (and @t279 @t278)) % 66.33/66.52 (define @t281 () (= @t280 @t276)) % 66.33/66.52 (define @t282 () (or @t207 @t206 @t205 @t281)) % 66.33/66.52 (define @t283 () (tptp.apply tptp.beta @t122)) % 66.33/66.52 (define @t284 () (= @t277 (tptp.subtract tptp.c @t224 @t283))) % 66.33/66.52 (define @t285 () (or @t205 @t132 @t130 @t284)) % 66.33/66.52 (define @t286 () (@var "BOUND_VARIABLE_7622" $$unsorted)) % 66.33/66.52 (define @t287 () (@var "BOUND_VARIABLE_7620" $$unsorted)) % 66.33/66.52 (define @t288 () (= @t287 @t286)) % 66.33/66.52 (define @t289 () (not (= (tptp.apply @t5 @t287) (tptp.apply @t5 @t286)))) % 66.33/66.52 (define @t290 () (not (tptp.element @t286 @t3))) % 66.33/66.52 (define @t291 () (not (tptp.element @t287 @t3))) % 66.33/66.52 (define @t292 () (not @t28)) % 66.33/66.52 (define @t293 () (or @t291 @t290 @t289 @t288)) % 66.33/66.52 (define @t294 () (or @t292 @t115 @t293)) % 66.33/66.52 (define @t295 () (forall (@list @t5 @t3 @t1 @t287 @t286) @t294)) % 66.33/66.52 (define @t296 () (@list @t287 @t286)) % 66.33/66.52 (define @t297 () (forall @t296 @t294)) % 66.33/66.52 (define @t298 () (forall @t296 @t293)) % 66.33/66.52 (define @t299 () (or @t292 @t115 @t298)) % 66.33/66.52 (define @t300 () (or @t292 @t115 @t113)) % 66.33/66.52 (define @t301 () (tptp.apply tptp.h @t283)) % 66.33/66.52 (define @t302 () (tptp.apply tptp.delta @t123)) % 66.33/66.52 (define @t303 () (not @t97)) % 66.33/66.52 (define @t304 () (not @t100)) % 66.33/66.52 (define @t305 () (not @t105)) % 66.33/66.52 (define @t306 () (or @t305 @t205 @t304 @t120 @t303 @t130 (= @t301 @t302))) % 66.33/66.52 (define @t307 () (forall @t257 @t254)) % 66.33/66.52 (define @t308 () (= @t302 @t301)) % 66.33/66.52 (define @t309 () (or @t305 @t205 @t304 @t120 @t303 @t130 @t308)) % 66.33/66.52 (define @t310 () (@list @t307)) % 66.33/66.52 (define @t311 () (tptp.apply tptp.delta @t125)) % 66.33/66.52 (define @t312 () (tptp.apply tptp.h @t224)) % 66.33/66.52 (define @t313 () (= @t312 @t311)) % 66.33/66.52 (define @t314 () (or @t305 @t205 @t304 @t120 @t303 @t132 @t313)) % 66.33/66.52 (define @t315 () (tptp.element @t283 tptp.c)) % 66.33/66.52 (define @t316 () (or @t130 @t315)) % 66.33/66.52 (define @t317 () (and @t316 @t223)) % 66.33/66.52 (define @t318 () (or @t205 @t317)) % 66.33/66.52 (define @t319 () (= @t224 @t283)) % 66.33/66.52 (define @t320 () (= @t312 @t301)) % 66.33/66.52 (define @t321 () (not @t320)) % 66.33/66.52 (define @t322 () (not @t315)) % 66.33/66.52 (define @t323 () (not @t225)) % 66.33/66.52 (define @t324 () (not @t107)) % 66.33/66.52 (define @t325 () (or @t324 @t304 @t323 @t322 @t321 @t319)) % 66.33/66.52 (define @t326 () (@list false false false false false false)) % 66.33/66.52 (define @t327 () (tptp.subtract tptp.c @t224 @t224)) % 66.33/66.52 (define @t328 () (= @t199 @t327)) % 66.33/66.52 (define @t329 () (or @t205 @t132 @t132 @t328)) % 66.33/66.52 (define @t330 () (@list tptp.b @t124 @t122)) % 66.33/66.52 (define @t331 () (or @t132 @t130 @t279)) % 66.33/66.52 (define @t332 () (@quantifiers_skolemize @t275 0)) % 66.33/66.52 (define @t333 () (tptp.apply tptp.alpha @t332)) % 66.33/66.52 (define @t334 () (= @t166 @t333)) % 66.33/66.52 (define @t335 () (not @t334)) % 66.33/66.52 (define @t336 () (tptp.element @t332 tptp.a)) % 66.33/66.52 (define @t337 () (not @t336)) % 66.33/66.52 (define @t338 () (or @t337 @t335)) % 66.33/66.52 (define @t339 () (not @t338)) % 66.33/66.52 (define @t340 () (not (= @t333 @t166))) % 66.33/66.52 (define @t341 () (or @t337 @t340)) % 66.33/66.52 (define @t342 () (not @t341)) % 66.33/66.52 (define @t343 () (@list @t338)) % 66.33/66.52 (define @t344 () (forall @t38 (or @t196 (= (tptp.apply tptp.gamma (tptp.apply tptp.f @t36)) (tptp.apply tptp.g @t195))))) % 66.33/66.52 (define @t345 () (@quantifiers_skolemize @t344 0)) % 66.33/66.52 (define @t346 () (tptp.element @t345 tptp.a)) % 66.33/66.52 (define @t347 () (tptp.apply tptp.g (tptp.apply tptp.alpha @t345))) % 66.33/66.52 (define @t348 () (tptp.apply tptp.gamma (tptp.apply tptp.f @t345))) % 66.33/66.52 (define @t349 () (= @t348 @t347)) % 66.33/66.52 (define @t350 () (not @t346)) % 66.33/66.52 (define @t351 () (or @t350 @t349)) % 66.33/66.52 (define @t352 () (or @t272 @t206 @t120 @t271 @t270 @t350 (= @t347 @t348))) % 66.33/66.52 (define @t353 () (or @t272 @t206 @t120 @t271 @t270 @t350 @t349)) % 66.33/66.52 (define @t354 () (not @t351)) % 66.33/66.52 (define @t355 () (not @t344)) % 66.33/66.52 (define @t356 () (tptp.apply tptp.f @t332)) % 66.33/66.52 (define @t357 () (tptp.apply tptp.gamma @t356)) % 66.33/66.52 (define @t358 () (= @t357 (tptp.apply tptp.g @t333))) % 66.33/66.52 (define @t359 () (or @t337 @t358)) % 66.33/66.52 (define @t360 () (tptp.zero tptp.a)) % 66.33/66.52 (define @t361 () (tptp.apply tptp.alpha @t360)) % 66.33/66.52 (define @t362 () (@quantifiers_skolemize (forall @t38 (or @t196 (not (= @t195 @t124)))) 0)) % 66.33/66.52 (define @t363 () (or (not (tptp.element @t362 tptp.a)) (tptp.element (tptp.apply tptp.alpha @t362) tptp.b))) % 66.33/66.52 (define @t364 () (and @t363 (= @t361 @t138))) % 66.33/66.52 (define @t365 () (or @t206 @t364)) % 66.33/66.52 (define @t366 () (= @t138 @t361)) % 66.33/66.52 (define @t367 () (and @t363 @t366)) % 66.33/66.52 (define @t368 () (or @t206 @t367)) % 66.33/66.52 (define @t369 () (@list @t214)) % 66.33/66.52 (define @t370 () (tptp.subtract tptp.a @t234 @t234)) % 66.33/66.52 (define @t371 () (tptp.element @t370 tptp.a)) % 66.33/66.52 (define @t372 () (or @t239 @t239 @t371)) % 66.33/66.52 (define @t373 () (= @t360 @t370)) % 66.33/66.52 (define @t374 () (or @t239 @t373)) % 66.33/66.52 (define @t375 () (tptp.element @t360 tptp.a)) % 66.33/66.52 (define @t376 () (= @t360 @t234)) % 66.33/66.52 (define @t377 () (= @t361 @t235)) % 66.33/66.52 (define @t378 () (not @t377)) % 66.33/66.52 (define @t379 () (not @t375)) % 66.33/66.52 (define @t380 () (not @t101)) % 66.33/66.52 (define @t381 () (or @t380 @t206 @t379 @t239 @t378 @t376)) % 66.33/66.52 (define @t382 () (@list @t94 @t101 @t375 @t238 @t377 @t381)) % 66.33/66.52 (define @t383 () (= @t17 @t87)) % 66.33/66.52 (define @t384 () (= @t122 (tptp.subtract tptp.b @t124 @t166))) % 66.33/66.52 (define @t385 () (or @t132 @t130 @t384)) % 66.33/66.52 (define @t386 () (tptp.subtract tptp.b @t124 @t137)) % 66.33/66.52 (define @t387 () (= @t124 @t386)) % 66.33/66.52 (define @t388 () (or @t132 @t132 @t387)) % 66.33/66.52 (define @t389 () (= @t360 @t332)) % 66.33/66.52 (define @t390 () (and @t139 @t366 @t387 @t384 @t334 @t389)) % 66.33/66.52 (define @t391 () (not @t389)) % 66.33/66.52 (define @t392 () (not @t139)) % 66.33/66.52 (define @t393 () (tptp.apply tptp.f @t360)) % 66.33/66.52 (define @t394 () (= @t393 @t356)) % 66.33/66.52 (define @t395 () (not @t394)) % 66.33/66.52 (define @t396 () (not @t106)) % 66.33/66.52 (define @t397 () (or @t396 @t271 @t379 @t337 @t395 @t389)) % 66.33/66.52 (define @t398 () (@list false false false false true false)) % 66.33/66.52 (define @t399 () (= @t266 @t356)) % 66.33/66.52 (define @t400 () (not @t399)) % 66.33/66.52 (define @t401 () (not @t376)) % 66.33/66.52 (define @t402 () (and @t376 @t395)) % 66.33/66.52 (define @t403 () (tptp.zero tptp.d)) % 66.33/66.52 (define @t404 () (tptp.element @t356 tptp.d)) % 66.33/66.52 (define @t405 () (or @t337 @t404)) % 66.33/66.52 (define @t406 () (= @t393 @t403)) % 66.33/66.52 (define @t407 () (and @t405 @t406)) % 66.33/66.52 (define @t408 () (or @t271 @t407)) % 66.33/66.52 (define @t409 () (= @t403 @t393)) % 66.33/66.52 (define @t410 () (and @t405 @t409)) % 66.33/66.52 (define @t411 () (or @t271 @t410)) % 66.33/66.52 (define @t412 () (tptp.element @t266 tptp.d)) % 66.33/66.52 (define @t413 () (or @t239 @t412)) % 66.33/66.52 (define @t414 () (and @t413 @t406)) % 66.33/66.52 (define @t415 () (or @t271 @t414)) % 66.33/66.52 (define @t416 () (and @t413 @t409)) % 66.33/66.52 (define @t417 () (or @t271 @t416)) % 66.33/66.52 (define @t418 () (= @t267 @t357)) % 66.33/66.52 (define @t419 () (not @t418)) % 66.33/66.52 (define @t420 () (not @t404)) % 66.33/66.52 (define @t421 () (not @t412)) % 66.33/66.52 (define @t422 () (not @t102)) % 66.33/66.52 (define @t423 () (or @t422 @t270 @t421 @t420 @t419 @t399)) % 66.33/66.52 (define @t424 () (not @t358)) % 66.33/66.52 (define @t425 () (not @t269)) % 66.33/66.52 (define @t426 () (not @t168)) % 66.33/66.52 (define @t427 () (not @t163)) % 66.33/66.52 (define @t428 () (not @t143)) % 66.33/66.52 (define @t429 () (and @t418 @t419)) % 66.33/66.52 (assume @p1 @t16) % 66.33/66.52 (assume @p2 @t31) % 66.33/66.52 (assume @p3 @t34) % 66.33/66.52 (assume @p4 (forall @t15 (=> (and @t40 @t13) @t39))) % 66.33/66.52 (assume @p5 (forall @t15 (=> (and @t13 @t39) @t40))) % 66.33/66.52 (assume @p6 @t60) % 66.33/66.52 (assume @p7 (forall @t59 (=> (and @t55 @t54 @t53) @t56))) % 66.33/66.52 (assume @p8 @t77) % 66.33/66.52 (assume @p9 (forall @t76 (=> (and @t72 @t71 @t69 @t68 @t66) @t73))) % 66.33/66.52 (assume @p10 @t82) % 66.33/66.52 (assume @p11 @t86) % 66.33/66.52 (assume @p12 @t89) % 66.33/66.52 (assume @p13 @t93) % 66.33/66.52 (assume @p14 @t94) % 66.33/66.52 (assume @p15 @t95) % 66.33/66.52 (assume @p16 @t96) % 66.33/66.52 (assume @p17 @t97) % 66.33/66.52 (assume @p18 @t98) % 66.33/66.52 (assume @p19 @t99) % 66.33/66.52 (assume @p20 @t100) % 66.33/66.52 (assume @p21 @t101) % 66.33/66.52 (assume @p22 @t102) % 66.33/66.52 (assume @p23 (tptp.surjection tptp.beta)) % 66.33/66.52 (assume @p24 (tptp.surjection tptp.delta)) % 66.33/66.52 (assume @p25 @t103) % 66.33/66.52 (assume @p26 (tptp.exact tptp.gammma tptp.delta)) % 66.33/66.52 (assume @p27 @t104) % 66.33/66.52 (assume @p28 @t105) % 66.33/66.52 (assume @p29 @t106) % 66.33/66.52 (assume @p30 @t107) % 66.33/66.52 (assume @p31 (not @t108)) % 66.33/66.52 (assume @p32 true) % 66.33/66.52 (step @p33 :rule aci_norm :args ((= (or (or @t115 @t114) @t28) (or @t115 @t114 @t28)))) % 66.33/66.52 (step @p34 :rule refl :args (@t28)) % 66.33/66.52 (step @p35 :rule bool-and-de-morgan :args (@t13 @t113 true)) % 66.33/66.52 (step @p36 :rule nary_cong :premises (@p35 @p34) :args ((or (not @t116) @t28))) % 66.33/66.52 (step @p37 :rule trans :premises (@p36 @p33)) % 66.33/66.52 (step @p38 :rule bool-impl-elim :args (@t116 @t28)) % 66.33/66.52 (step @p39 :rule trans :premises (@p38 @p37)) % 66.33/66.52 (step @p40 :rule cong :premises (@p39) :args ((forall @t15 (=> @t116 @t28)))) % 66.33/66.52 (step @p41 :rule refl :args (@t28)) % 66.33/66.52 (step @p42 :rule aci_norm :args ((= (or @t117 @t19) @t112))) % 66.33/66.52 (step @p43 :rule refl :args (@t19)) % 66.33/66.52 (step @p44 :rule aci_norm :args ((= (or @t111 (or @t110 @t109)) @t117))) % 66.33/66.52 (step @p45 :rule bool-and-de-morgan :args (@t23 @t22 true)) % 66.33/66.52 (step @p46 :rule refl :args (@t111)) % 66.33/66.52 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t111 (not (and @t23 @t22))))) % 66.33/66.52 (step @p48 :rule bool-and-de-morgan :args (@t24 @t23 (and @t22))) % 66.33/66.52 (step @p49 :rule trans :premises (@p48 @p47)) % 66.33/66.52 (step @p50 :rule trans :premises (@p49 @p44)) % 66.33/66.52 (step @p51 :rule nary_cong :premises (@p50 @p43) :args ((or (not @t25) @t19))) % 66.33/66.52 (step @p52 :rule trans :premises (@p51 @p42)) % 66.33/66.52 (step @p53 :rule bool-impl-elim :args (@t25 @t19)) % 66.33/66.52 (step @p54 :rule trans :premises (@p53 @p52)) % 66.33/66.52 (step @p55 :rule cong :premises (@p54) :args (@t27)) % 66.33/66.52 (step @p56 :rule refl :args (@t13)) % 66.33/66.52 (step @p57 :rule nary_cong :premises (@p56 @p55) :args (@t32)) % 66.33/66.52 (step @p58 :rule cong :premises (@p57 @p41) :args (@t33)) % 66.33/66.52 (step @p59 :rule cong :premises (@p58) :args (@t34)) % 66.33/66.52 (step @p60 :rule trans :premises (@p59 @p40)) % 66.33/66.52 (step @p61 :rule eq_resolve :premises (@p3 @p60)) % 66.33/66.52 (step @p62 :rule instantiate :premises (@p61) :args ((@list tptp.g tptp.b tptp.e))) % 66.33/66.52 (step @p63 :rule cnf_or_pos :args (@t121)) % 66.33/66.52 (step @p64 :rule reordering :premises (@p63) :args ((or @t108 @t120 @t119 (not @t121)))) % 66.33/66.52 (step @p65 :rule chain_m_resolution :premises (@p64 @p31 @p19 @p62) :args (@t119 (@list true false false) (@list @t108 @t99 @t121))) % 66.33/66.52 (step @p66 :rule skolemize :premises (@p65)) % 66.33/66.52 (step @p67 :rule bool-double-not-elim :args (@t126)) % 66.33/66.52 (step @p68 :rule refl :args (@t133)) % 66.33/66.52 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or @t133 (not @t128)))) % 66.33/66.52 (step @p70 :rule cnf_or_neg :args (@t133 2)) % 66.33/66.52 (step @p71 :rule eq_resolve :premises (@p70 @p69)) % 66.33/66.52 (step @p72 :rule reordering :premises (@p71) :args ((or @t126 @t133))) % 66.33/66.52 (step @p73 :rule chain_m_resolution :premises (@p72 @p66) :args (@t126 @t134 @t135)) % 66.33/66.52 (step @p74 :rule bool-impl-elim :args (@t9 @t136)) % 66.33/66.52 (step @p75 :rule cong :premises (@p74) :args ((forall @t85 (=> @t9 @t136)))) % 66.33/66.52 (step @p76 :rule eq-symm :args (@t83 @t4)) % 66.33/66.52 (step @p77 :rule refl :args (@t9)) % 66.33/66.52 (step @p78 :rule cong :premises (@p77 @p76) :args (@t84)) % 66.33/66.52 (step @p79 :rule cong :premises (@p78) :args (@t86)) % 66.33/66.52 (step @p80 :rule trans :premises (@p79 @p75)) % 66.33/66.52 (step @p81 :rule eq_resolve :premises (@p11 @p80)) % 66.33/66.52 (step 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tptp.a tptp.d @t234))) % 66.33/66.53 (step-pop @p828 :rule scope :premises (@p676)) % 66.33/66.53 (step @p677 :rule process_scope :premises (@p828) :args (@t415)) % 66.33/66.53 (step @p679 :rule eq_resolve :premises (@p677 @p674)) % 66.33/66.53 (step @p680 :rule implies_elim :premises (@p679)) % 66.33/66.53 (step @p681 :rule chain_m_resolution :premises (@p680 @p225) :args (@t417 @t230 @t369)) % 66.33/66.53 (step @p682 :rule cnf_or_pos :args (@t417)) % 66.33/66.53 (step @p683 :rule reordering :premises (@p682) :args ((or @t271 @t416 (not @t417)))) % 66.33/66.53 (step @p684 :rule chain_m_resolution :premises (@p683 @p18 @p681) :args (@t416 @t141 (@list @t98 @t417))) % 66.33/66.53 (step @p685 :rule cnf_and_pos :args (@t416 0)) % 66.33/66.53 (step @p686 :rule reordering :premises (@p685) :args ((or @t413 (not @t416)))) % 66.33/66.53 (step @p687 :rule chain_m_resolution :premises (@p686 @p684) :args (@t413 @t230 (@list @t416))) % 66.33/66.53 (step @p688 :rule cnf_or_pos :args (@t413)) % 66.33/66.53 (step @p689 :rule reordering :premises (@p688) :args ((or @t239 @t412 (not @t413)))) % 66.33/66.53 (step @p690 :rule chain_m_resolution :premises (@p689 @p327 @p687) :args (@t412 @t141 (@list @t238 @t413))) % 66.33/66.53 (step @p691 :rule cnf_or_pos :args (@t423)) % 66.33/66.53 (step @p692 :rule reordering :premises (@p691) :args ((or @t270 @t422 @t421 @t420 @t399 @t419 (not @t423)))) % 66.33/66.53 (step @p693 :rule chain_m_resolution :premises (@p692 @p16 @p22 @p690 @p670 @p649 @p507) :args (@t419 @t398 (@list @t96 @t102 @t412 @t404 @t399 @t423))) % 66.33/66.53 (step @p694 :rule bool-double-not-elim :args (@t418)) % 66.33/66.53 (step @p695 :rule refl :args (@t424)) % 66.33/66.53 (step @p696 :rule refl :args (@t335)) % 66.33/66.53 (step @p697 :rule refl :args (@t425)) % 66.33/66.53 (step @p698 :rule refl :args (@t237)) % 66.33/66.53 (step @p699 :rule refl :args (@t426)) % 66.33/66.53 (step @p700 :rule refl :args (@t427)) % 66.33/66.53 (step @p701 :rule refl :args (@t428)) % 66.33/66.53 (step @p702 :rule refl :args (@t392)) % 66.33/66.53 (step @p703 :rule refl :args (@t128)) % 66.33/66.53 (step @p704 :rule nary_cong :premises (@p703 @p702 @p701 @p700 @p699 @p698 @p697 @p696 @p695 @p694) :args ((or @t128 @t392 @t428 @t427 @t426 @t237 @t425 @t335 @t424 (not @t419)))) % 66.33/66.53 (assume-push @p829 @t418) % 66.33/66.53 (assume-push @p830 @t419) % 66.33/66.53 (step @p707 :rule evaluate :args ((= true false))) % 66.33/66.53 (step @p708 :rule false_intro :premises (@p830)) % 66.33/66.53 (step @p709 :rule true_intro :premises (@p829)) % 66.33/66.53 (step @p710 :rule symm :premises (@p709)) % 66.33/66.53 (step @p711 :rule trans :premises (@p710 @p708)) % 66.33/66.53 (step @p712 false :rule eq_resolve :premises (@p711 @p707)) % 66.33/66.53 (step-pop @p831 :rule scope :premises (@p712)) % 66.33/66.53 (step-pop @p832 :rule scope :premises (@p831)) % 66.33/66.53 (step @p713 :rule process_scope :premises (@p832) :args (false)) % 66.33/66.53 (assume-push @p833 @t126) % 66.33/66.53 (assume-push @p834 @t139) % 66.33/66.53 (assume-push @p835 @t143) % 66.33/66.53 (assume-push @p836 @t163) % 66.33/66.53 (assume-push @p837 @t168) % 66.33/66.53 (assume-push @p838 @t236) % 66.33/66.53 (assume-push @p839 @t269) % 66.33/66.53 (assume-push @p840 @t334) % 66.33/66.53 (assume-push @p841 @t358) % 66.33/66.53 (assume-push @p842 @t419) % 66.33/66.53 (assume-push @p843 @t358) % 66.33/66.53 (assume-push @p844 @t334) % 66.33/66.53 (assume-push @p845 @t168) % 66.33/66.53 (assume-push @p846 @t126) % 66.33/66.53 (assume-push @p847 @t163) % 66.33/66.53 (assume-push @p848 @t143) % 66.33/66.53 (assume-push @p849 @t139) % 66.33/66.53 (assume-push @p850 @t236) % 66.33/66.53 (assume-push @p851 @t269) % 66.33/66.53 (step @p735 :rule symm :premises (@p841)) % 66.33/66.53 (step @p736 :rule refl :args (tptp.g)) % 66.33/66.53 (step @p737 :rule cong :premises (@p736 @p456) :args (@t167)) % 66.33/66.53 (step @p738 :rule symm :premises (@p137)) % 66.33/66.53 (step @p739 :rule symm :premises (@p73)) % 66.33/66.53 (step @p740 :rule refl :args (tptp.e)) % 66.33/66.53 (step @p741 :rule cong :premises (@p740 @p739 @p73) :args ((tptp.subtract tptp.e @t123 @t125))) % 66.33/66.53 (step @p742 :rule refl :args (@t123)) % 66.33/66.53 (step @p743 :rule cong :premises (@p740 @p742 @p739) :args (@t162)) % 66.33/66.53 (step @p744 :rule cong :premises (@p736 @p101) :args ((tptp.apply tptp.g @t138))) % 66.33/66.53 (step @p588 :rule symm :premises (@p91)) % 66.33/66.53 (step @p745 :rule symm :premises (@p277)) % 66.33/66.53 (step @p746 :rule trans :premises (@p745 @p588)) % 66.33/66.53 (step @p747 :rule cong :premises (@p736 @p746) :args (@t268)) % 66.33/66.53 (step @p748 :rule symm :premises (@p330)) % 66.33/66.53 (step @p749 :rule trans :premises (@p748 @p747 @p744 @p133 @p743 @p741 @p738 @p737 @p735)) % 66.33/66.53 (step-pop @p852 :rule scope :premises (@p749)) % 66.33/66.53 (step-pop @p853 :rule scope :premises (@p852)) % 66.33/66.53 (step-pop @p854 :rule scope :premises (@p853)) % 66.33/66.53 (step-pop @p855 :rule scope :premises (@p854)) % 66.33/66.53 (step-pop @p856 :rule scope :premises (@p855)) % 66.33/66.53 (step-pop @p857 :rule scope :premises (@p856)) % 66.33/66.53 (step-pop @p858 :rule scope :premises (@p857)) % 66.33/66.53 (step-pop @p859 :rule scope :premises (@p858)) % 66.33/66.53 (step-pop @p860 :rule scope :premises (@p859)) % 66.33/66.53 (step @p750 :rule process_scope :premises (@p860) :args (@t418)) % 66.33/66.53 (step @p760 :rule and_intro :premises (@p841 @p456 @p137 @p73 @p133 @p101 @p91 @p277 @p330)) % 66.33/66.53 (step @p761 :rule modus_ponens :premises (@p760 @p750)) % 66.33/66.53 (step @p762 :rule and_intro :premises (@p761 @p842)) % 66.33/66.53 (step-pop @p861 :rule scope :premises (@p762)) % 66.33/66.53 (step-pop @p862 :rule scope :premises (@p861)) % 66.33/66.53 (step-pop @p863 :rule scope :premises (@p862)) % 66.33/66.53 (step-pop @p864 :rule scope :premises (@p863)) % 66.33/66.53 (step-pop @p865 :rule scope :premises (@p864)) % 66.33/66.53 (step-pop @p866 :rule scope :premises (@p865)) % 66.33/66.53 (step-pop @p867 :rule scope :premises (@p866)) % 66.33/66.53 (step-pop @p868 :rule scope :premises (@p867)) % 66.33/66.53 (step-pop @p869 :rule scope :premises (@p868)) % 66.33/66.53 (step-pop @p870 :rule scope :premises (@p869)) % 66.33/66.53 (step @p763 :rule process_scope :premises (@p870) :args (@t429)) % 66.33/66.53 (step @p774 :rule implies_elim :premises (@p763)) % 66.33/66.53 (step @p775 :rule resolution :premises (@p774 @p713) :args (true @t429)) % 66.33/66.53 (step @p776 :rule not_and :premises (@p775)) % 66.33/66.53 (step @p777 :rule eq_resolve :premises (@p776 @p704)) % 66.33/66.53 (step @p778 false :rule chain_m_resolution :premises (@p777 @p693 @p506 @p456 @p330 @p277 @p137 @p133 @p101 @p91 @p73) :args (false (@list true false false false false false false false false false) (@list @t418 @t358 @t334 @t269 @t236 @t168 @t163 @t143 @t139 @t126))) % 66.33/66.53 ) % 66.33/66.53 % SZS output end Proof % 66.33/66.53 % cvc5 exiting %------------------------------------------------------------------------------