%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HAL001+2 : 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 : n013.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 111.94s 112.94s % Output : Proof 111.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HAL001+2 : TPTP v9.2.1. Released v2.6.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 02:12:30 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 111.94/112.94 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 111.94/112.94 --- Run --no-e-matching --full-saturate-quant at 6... % 111.94/112.94 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 111.94/112.94 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 111.94/112.94 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 111.94/112.94 --- Run --trigger-sel=max --full-saturate-quant at 15... % 111.94/112.94 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 111.94/112.94 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 111.94/112.94 % SZS status Theorem % 111.94/112.94 % SZS output start Proof % 111.94/112.94 ( % 111.94/112.94 (declare-sort $$unsorted 0) % 111.94/112.94 (declare-const tptp.g $$unsorted) % 111.94/112.94 (declare-const tptp.f $$unsorted) % 111.94/112.94 (declare-const tptp.delta $$unsorted) % 111.94/112.94 (declare-const tptp.r $$unsorted) % 111.94/112.94 (declare-const tptp.gamma $$unsorted) % 111.94/112.94 (declare-const tptp.d $$unsorted) % 111.94/112.94 (declare-const tptp.beta $$unsorted) % 111.94/112.94 (declare-const tptp.zero (-> $$unsorted $$unsorted)) % 111.94/112.94 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 111.94/112.94 (declare-const tptp.morphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 111.94/112.94 (declare-const tptp.h $$unsorted) % 111.94/112.94 (declare-const tptp.injection (-> $$unsorted Bool)) % 111.94/112.94 (declare-const tptp.e $$unsorted) % 111.94/112.94 (declare-const tptp.surjection (-> $$unsorted Bool)) % 111.94/112.94 (declare-const tptp.alpha $$unsorted) % 111.94/112.94 (declare-const tptp.exact (-> $$unsorted $$unsorted Bool)) % 111.94/112.94 (declare-const tptp.commute (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 111.94/112.94 (declare-const tptp.c $$unsorted) % 111.94/112.94 (declare-const tptp.gammma $$unsorted) % 111.94/112.94 (declare-const tptp.subtract (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 111.94/112.94 (declare-const tptp.b $$unsorted) % 111.94/112.94 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 111.94/112.94 (declare-const tptp.a $$unsorted) % 111.94/112.94 (define @t1 () (@var "Cod" $$unsorted)) % 111.94/112.94 (define @t2 () (tptp.zero @t1)) % 111.94/112.94 (define @t3 () (@var "Dom" $$unsorted)) % 111.94/112.94 (define @t4 () (tptp.zero @t3)) % 111.94/112.94 (define @t5 () (@var "Morphism" $$unsorted)) % 111.94/112.94 (define @t6 () (= (tptp.apply @t5 @t4) @t2)) % 111.94/112.94 (define @t7 () (@var "El" $$unsorted)) % 111.94/112.94 (define @t8 () (tptp.apply @t5 @t7)) % 111.94/112.94 (define @t9 () (tptp.element @t8 @t1)) % 111.94/112.94 (define @t10 () (tptp.element @t7 @t3)) % 111.94/112.94 (define @t11 () (@list @t7)) % 111.94/112.94 (define @t12 () (forall @t11 (=> @t10 @t9))) % 111.94/112.94 (define @t13 () (and @t12 @t6)) % 111.94/112.94 (define @t14 () (tptp.morphism @t5 @t3 @t1)) % 111.94/112.94 (define @t15 () (=> @t14 @t13)) % 111.94/112.94 (define @t16 () (@list @t5 @t3 @t1)) % 111.94/112.94 (define @t17 () (forall @t16 @t15)) % 111.94/112.94 (define @t18 () (@var "El2" $$unsorted)) % 111.94/112.94 (define @t19 () (@var "El1" $$unsorted)) % 111.94/112.94 (define @t20 () (= @t19 @t18)) % 111.94/112.94 (define @t21 () (tptp.apply @t5 @t18)) % 111.94/112.94 (define @t22 () (tptp.apply @t5 @t19)) % 111.94/112.94 (define @t23 () (= @t22 @t21)) % 111.94/112.94 (define @t24 () (tptp.element @t18 @t3)) % 111.94/112.94 (define @t25 () (tptp.element @t19 @t3)) % 111.94/112.94 (define @t26 () (and @t25 @t24 @t23)) % 111.94/112.94 (define @t27 () (@list @t19 @t18)) % 111.94/112.94 (define @t28 () (forall @t27 (=> @t26 @t20))) % 111.94/112.94 (define @t29 () (tptp.injection @t5)) % 111.94/112.94 (define @t30 () (and @t29 @t14)) % 111.94/112.94 (define @t31 () (=> @t30 @t28)) % 111.94/112.94 (define @t32 () (forall @t16 @t31)) % 111.94/112.94 (define @t33 () (@var "ElCod" $$unsorted)) % 111.94/112.94 (define @t34 () (@var "ElDom" $$unsorted)) % 111.94/112.94 (define @t35 () (tptp.element @t34 @t3)) % 111.94/112.94 (define @t36 () (@list @t34)) % 111.94/112.94 (define @t37 () (forall (@list @t33) (=> (tptp.element @t33 @t1) (exists @t36 (and @t35 (= (tptp.apply @t5 @t34) @t33)))))) % 111.94/112.94 (define @t38 () (tptp.surjection @t5)) % 111.94/112.94 (define @t39 () (@var "ElCodDom" $$unsorted)) % 111.94/112.94 (define @t40 () (@var "Morphism1" $$unsorted)) % 111.94/112.94 (define @t41 () (tptp.apply @t40 @t34)) % 111.94/112.94 (define @t42 () (and @t35 (= @t41 @t39))) % 111.94/112.94 (define @t43 () (exists @t36 @t42)) % 111.94/112.94 (define @t44 () (@var "Morphism2" $$unsorted)) % 111.94/112.94 (define @t45 () (tptp.apply @t44 @t39)) % 111.94/112.94 (define @t46 () (@var "CodDom" $$unsorted)) % 111.94/112.94 (define @t47 () (tptp.element @t39 @t46)) % 111.94/112.94 (define @t48 () (and @t47 (= @t45 @t2))) % 111.94/112.94 (define @t49 () (= @t48 @t43)) % 111.94/112.94 (define @t50 () (@list @t39)) % 111.94/112.94 (define @t51 () (forall @t50 @t49)) % 111.94/112.94 (define @t52 () (tptp.morphism @t44 @t46 @t1)) % 111.94/112.94 (define @t53 () (tptp.morphism @t40 @t3 @t46)) % 111.94/112.94 (define @t54 () (tptp.exact @t40 @t44)) % 111.94/112.94 (define @t55 () (and @t54 @t53 @t52)) % 111.94/112.94 (define @t56 () (=> @t55 @t51)) % 111.94/112.94 (define @t57 () (@list @t40 @t44 @t3 @t46 @t1)) % 111.94/112.94 (define @t58 () (forall @t57 @t56)) % 111.94/112.94 (define @t59 () (and @t53 @t52 @t51)) % 111.94/112.94 (define @t60 () (=> @t59 @t54)) % 111.94/112.94 (define @t61 () (forall @t57 @t60)) % 111.94/112.94 (define @t62 () (@var "M3" $$unsorted)) % 111.94/112.94 (define @t63 () (@var "M4" $$unsorted)) % 111.94/112.94 (define @t64 () (@var "M1" $$unsorted)) % 111.94/112.94 (define @t65 () (@var "M2" $$unsorted)) % 111.94/112.94 (define @t66 () (= (tptp.apply @t65 (tptp.apply @t64 @t34)) (tptp.apply @t63 (tptp.apply @t62 @t34)))) % 111.94/112.94 (define @t67 () (forall @t36 (=> @t35 @t66))) % 111.94/112.94 (define @t68 () (@var "DomCod2" $$unsorted)) % 111.94/112.94 (define @t69 () (tptp.morphism @t63 @t68 @t1)) % 111.94/112.94 (define @t70 () (tptp.morphism @t62 @t3 @t68)) % 111.94/112.94 (define @t71 () (@var "DomCod1" $$unsorted)) % 111.94/112.94 (define @t72 () (tptp.morphism @t65 @t71 @t1)) % 111.94/112.94 (define @t73 () (tptp.morphism @t64 @t3 @t71)) % 111.94/112.94 (define @t74 () (tptp.commute @t64 @t65 @t62 @t63)) % 111.94/112.94 (define @t75 () (and @t74 @t73 @t72 @t70 @t69)) % 111.94/112.94 (define @t76 () (=> @t75 @t67)) % 111.94/112.94 (define @t77 () (@list @t64 @t65 @t62 @t63 @t3 @t71 @t68 @t1)) % 111.94/112.94 (define @t78 () (forall @t77 @t76)) % 111.94/112.94 (define @t79 () (and @t73 @t72 @t70 @t69 @t67)) % 111.94/112.94 (define @t80 () (=> @t79 @t74)) % 111.94/112.94 (define @t81 () (forall @t77 @t80)) % 111.94/112.94 (define @t82 () (tptp.subtract @t3 @t19 @t18)) % 111.94/112.94 (define @t83 () (and @t25 @t24)) % 111.94/112.94 (define @t84 () (@list @t3 @t19 @t18)) % 111.94/112.94 (define @t85 () (= @t7 @t4)) % 111.94/112.94 (define @t86 () (= @t8 @t2)) % 111.94/112.94 (define @t87 () (and @t10 @t86)) % 111.94/112.94 (define @t88 () (forall @t11 (=> @t87 @t85))) % 111.94/112.94 (define @t89 () (=> @t30 @t88)) % 111.94/112.94 (define @t90 () (forall @t16 @t89)) % 111.94/112.94 (define @t91 () (and @t14 @t88)) % 111.94/112.94 (define @t92 () (=> @t91 @t29)) % 111.94/112.94 (define @t93 () (forall @t16 @t92)) % 111.94/112.94 (define @t94 () (tptp.morphism tptp.alpha tptp.a tptp.b)) % 111.94/112.94 (define @t95 () (tptp.morphism tptp.beta tptp.b tptp.c)) % 111.94/112.94 (define @t96 () (tptp.morphism tptp.gamma tptp.d tptp.e)) % 111.94/112.94 (define @t97 () (tptp.morphism tptp.delta tptp.e tptp.r)) % 111.94/112.94 (define @t98 () (tptp.morphism tptp.f tptp.a tptp.d)) % 111.94/112.94 (define @t99 () (tptp.morphism tptp.g tptp.b tptp.e)) % 111.94/112.94 (define @t100 () (tptp.morphism tptp.h tptp.c tptp.r)) % 111.94/112.94 (define @t101 () (tptp.injection tptp.gamma)) % 111.94/112.94 (define @t102 () (tptp.exact tptp.alpha tptp.beta)) % 111.94/112.94 (define @t103 () (tptp.commute tptp.alpha tptp.g tptp.f tptp.gamma)) % 111.94/112.94 (define @t104 () (tptp.commute tptp.beta tptp.h tptp.g tptp.delta)) % 111.94/112.94 (define @t105 () (tptp.injection tptp.f)) % 111.94/112.94 (define @t106 () (tptp.injection tptp.h)) % 111.94/112.94 (define @t107 () (tptp.injection tptp.g)) % 111.94/112.94 (define @t108 () (@var "BOUND_VARIABLE_7736" $$unsorted)) % 111.94/112.94 (define @t109 () (not (= @t108 @t41))) % 111.94/112.94 (define @t110 () (not @t35)) % 111.94/112.94 (define @t111 () (or @t110 @t109)) % 111.94/112.94 (define @t112 () (forall @t36 @t111)) % 111.94/112.94 (define @t113 () (not @t112)) % 111.94/112.94 (define @t114 () (and (tptp.element @t108 @t46) (= @t2 (tptp.apply @t44 @t108)))) % 111.94/112.94 (define @t115 () (= @t114 @t113)) % 111.94/112.94 (define @t116 () (not @t52)) % 111.94/112.94 (define @t117 () (not @t53)) % 111.94/112.94 (define @t118 () (not @t54)) % 111.94/112.94 (define @t119 () (or @t118 @t117 @t116 @t115)) % 111.94/112.94 (define @t120 () (@list @t40 @t44 @t3 @t46 @t1 @t108)) % 111.94/112.94 (define @t121 () (forall @t120 @t119)) % 111.94/112.94 (define @t122 () (@list @t108)) % 111.94/112.94 (define @t123 () (forall @t122 @t119)) % 111.94/112.94 (define @t124 () (forall @t122 @t115)) % 111.94/112.94 (define @t125 () (or @t118 @t117 @t116 @t124)) % 111.94/112.94 (define @t126 () (= @t39 @t41)) % 111.94/112.94 (define @t127 () (forall @t50 (= (and @t47 (= @t2 @t45)) (not (forall @t36 (or @t110 (not @t126))))))) % 111.94/112.94 (define @t128 () (or @t118 @t117 @t116 @t127)) % 111.94/112.94 (define @t129 () (or @t118 @t117 @t116)) % 111.94/112.94 (define @t130 () (and @t35 @t126)) % 111.94/112.94 (define @t131 () (forall @t36 (not @t130))) % 111.94/112.94 (define @t132 () (not @t131)) % 111.94/112.94 (define @t133 () (tptp.zero tptp.b)) % 111.94/112.94 (define @t134 () (= @t7 @t133)) % 111.94/112.94 (define @t135 () (tptp.apply tptp.g @t7)) % 111.94/112.94 (define @t136 () (tptp.zero tptp.e)) % 111.94/112.94 (define @t137 () (not (tptp.element @t7 tptp.b))) % 111.94/112.94 (define @t138 () (forall @t11 (or @t137 (not (= @t136 @t135)) @t134))) % 111.94/112.94 (define @t139 () (@quantifiers_skolemize @t138 0)) % 111.94/112.94 (define @t140 () (tptp.apply tptp.beta @t139)) % 111.94/112.94 (define @t141 () (tptp.zero tptp.c)) % 111.94/112.94 (define @t142 () (= @t141 @t140)) % 111.94/112.94 (define @t143 () (tptp.element @t139 tptp.b)) % 111.94/112.94 (define @t144 () (and @t143 @t142)) % 111.94/112.94 (define @t145 () (tptp.apply tptp.alpha @t34)) % 111.94/112.94 (define @t146 () (not (tptp.element @t34 tptp.a))) % 111.94/112.94 (define @t147 () (forall @t36 (or @t146 (not (= @t145 @t139))))) % 111.94/112.94 (define @t148 () (not @t147)) % 111.94/112.94 (define @t149 () (not @t95)) % 111.94/112.94 (define @t150 () (not @t94)) % 111.94/112.94 (define @t151 () (not @t102)) % 111.94/112.94 (define @t152 () (or @t151 @t150 @t149 (= @t144 @t148))) % 111.94/112.94 (define @t153 () (forall @t120 (or @t118 @t117 @t116 (= @t114 (not (forall @t36 (or @t110 (not (= @t41 @t108))))))))) % 111.94/112.94 (define @t154 () (= @t148 @t144)) % 111.94/112.94 (define @t155 () (or @t151 @t150 @t149 @t154)) % 111.94/112.94 (define @t156 () (@list false)) % 111.94/112.94 (define @t157 () (@list @t153)) % 111.94/112.94 (define @t158 () (@list false false false false)) % 111.94/112.94 (define @t159 () (@quantifiers_skolemize @t147 0)) % 111.94/112.94 (define @t160 () (tptp.element @t159 tptp.a)) % 111.94/112.94 (define @t161 () (tptp.apply tptp.alpha @t159)) % 111.94/112.94 (define @t162 () (= @t139 @t161)) % 111.94/112.94 (define @t163 () (not @t162)) % 111.94/112.94 (define @t164 () (not @t160)) % 111.94/112.94 (define @t165 () (or @t164 @t163)) % 111.94/112.94 (define @t166 () (forall @t36 (or @t110 @t66))) % 111.94/112.94 (define @t167 () (not @t166)) % 111.94/112.94 (define @t168 () (not @t69)) % 111.94/112.94 (define @t169 () (not @t70)) % 111.94/112.94 (define @t170 () (not @t72)) % 111.94/112.94 (define @t171 () (not @t73)) % 111.94/112.94 (define @t172 () (or @t171 @t170 @t169 @t168 @t167 @t74)) % 111.94/112.94 (define @t173 () (or @t171 @t170 @t169 @t168 @t167)) % 111.94/112.94 (define @t174 () (and @t73 @t72 @t70 @t69 @t166)) % 111.94/112.94 (define @t175 () (forall @t36 (or @t146 (= (tptp.apply tptp.gamma (tptp.apply tptp.f @t34)) (tptp.apply tptp.g @t145))))) % 111.94/112.94 (define @t176 () (@quantifiers_skolemize @t175 0)) % 111.94/112.94 (define @t177 () (tptp.element @t176 tptp.a)) % 111.94/112.94 (define @t178 () (tptp.apply tptp.alpha @t176)) % 111.94/112.94 (define @t179 () (tptp.apply tptp.g @t178)) % 111.94/112.94 (define @t180 () (tptp.apply tptp.gamma (tptp.apply tptp.f @t176))) % 111.94/112.94 (define @t181 () (= @t180 @t179)) % 111.94/112.94 (define @t182 () (not @t177)) % 111.94/112.94 (define @t183 () (or @t182 @t181)) % 111.94/112.94 (define @t184 () (@var "BOUND_VARIABLE_7782" $$unsorted)) % 111.94/112.94 (define @t185 () (= (tptp.apply @t65 (tptp.apply @t64 @t184)) (tptp.apply @t63 (tptp.apply @t62 @t184)))) % 111.94/112.94 (define @t186 () (not (tptp.element @t184 @t3))) % 111.94/112.94 (define @t187 () (not @t74)) % 111.94/112.94 (define @t188 () (or @t187 @t171 @t170 @t169 @t168 @t186 @t185)) % 111.94/112.94 (define @t189 () (or @t186 @t185)) % 111.94/112.94 (define @t190 () (or @t187 @t171 @t170 @t169 @t168 @t189)) % 111.94/112.94 (define @t191 () (@list @t64 @t65 @t62 @t63 @t3 @t71 @t68 @t1 @t184)) % 111.94/112.94 (define @t192 () (forall @t191 @t190)) % 111.94/112.94 (define @t193 () (@list @t184)) % 111.94/112.94 (define @t194 () (forall @t193 @t190)) % 111.94/112.94 (define @t195 () (forall @t193 @t189)) % 111.94/112.94 (define @t196 () (or @t187 @t171 @t170 @t169 @t168 @t195)) % 111.94/112.94 (define @t197 () (or @t187 @t171 @t170 @t169 @t168 @t166)) % 111.94/112.94 (define @t198 () (or @t187 @t171 @t170 @t169 @t168)) % 111.94/112.94 (define @t199 () (not @t96)) % 111.94/112.94 (define @t200 () (not @t98)) % 111.94/112.94 (define @t201 () (not @t99)) % 111.94/112.94 (define @t202 () (not @t103)) % 111.94/112.94 (define @t203 () (or @t202 @t150 @t201 @t200 @t199 @t182 (= @t179 @t180))) % 111.94/112.94 (define @t204 () (forall @t191 @t188)) % 111.94/112.94 (define @t205 () (or @t202 @t150 @t201 @t200 @t199 @t182 @t181)) % 111.94/112.94 (define @t206 () (@list @t204)) % 111.94/112.94 (define @t207 () (@list false false false false false false true false)) % 111.94/112.94 (define @t208 () (not @t183)) % 111.94/112.94 (define @t209 () (not @t175)) % 111.94/112.94 (define @t210 () (tptp.commute tptp.f tptp.gamma tptp.alpha tptp.g)) % 111.94/112.94 (define @t211 () (or @t200 @t199 @t150 @t201 @t209 @t210)) % 111.94/112.94 (define @t212 () (@list false false false false false false)) % 111.94/112.94 (define @t213 () (tptp.apply tptp.f @t159)) % 111.94/112.94 (define @t214 () (tptp.apply tptp.gamma @t213)) % 111.94/112.94 (define @t215 () (= @t214 (tptp.apply tptp.g @t161))) % 111.94/112.94 (define @t216 () (not @t210)) % 111.94/112.94 (define @t217 () (or @t216 @t200 @t199 @t150 @t201 @t164 @t215)) % 111.94/112.94 (define @t218 () (@var "BOUND_VARIABLE_7604" $$unsorted)) % 111.94/112.94 (define @t219 () (or (not (tptp.element @t218 @t3)) (tptp.element (tptp.apply @t5 @t218) @t1))) % 111.94/112.94 (define @t220 () (and @t219 @t6)) % 111.94/112.94 (define @t221 () (not @t14)) % 111.94/112.94 (define @t222 () (or @t221 @t220)) % 111.94/112.94 (define @t223 () (forall (@list @t5 @t3 @t1 @t218) @t222)) % 111.94/112.94 (define @t224 () (@list @t218)) % 111.94/112.94 (define @t225 () (forall @t224 @t222)) % 111.94/112.94 (define @t226 () (forall @t224 @t6)) % 111.94/112.94 (define @t227 () (forall @t224 @t219)) % 111.94/112.94 (define @t228 () (@list @t7)) % 111.94/112.94 (define @t229 () (and @t227 @t226)) % 111.94/112.94 (define @t230 () (forall @t224 @t220)) % 111.94/112.94 (define @t231 () (or @t221 @t230)) % 111.94/112.94 (define @t232 () (not @t10)) % 111.94/112.94 (define @t233 () (and (forall @t11 (or @t232 @t9)) @t6)) % 111.94/112.94 (define @t234 () (tptp.zero tptp.a)) % 111.94/112.94 (define @t235 () (tptp.apply tptp.f @t234)) % 111.94/112.94 (define @t236 () (tptp.zero tptp.d)) % 111.94/112.94 (define @t237 () (tptp.element @t213 tptp.d)) % 111.94/112.94 (define @t238 () (or @t164 @t237)) % 111.94/112.94 (define @t239 () (and @t238 (= @t235 @t236))) % 111.94/112.94 (define @t240 () (or @t200 @t239)) % 111.94/112.94 (define @t241 () (@list tptp.f tptp.a tptp.d @t159)) % 111.94/112.94 (define @t242 () (and @t238 (= @t236 @t235))) % 111.94/112.94 (define @t243 () (or @t200 @t242)) % 111.94/112.94 (define @t244 () (@list @t223)) % 111.94/112.94 (define @t245 () (@list false false)) % 111.94/112.94 (define @t246 () (not @t86)) % 111.94/112.94 (define @t247 () (or @t232 @t246 @t85)) % 111.94/112.94 (define @t248 () (forall @t11 @t247)) % 111.94/112.94 (define @t249 () (not @t248)) % 111.94/112.94 (define @t250 () (or @t221 @t249 @t29)) % 111.94/112.94 (define @t251 () (and @t14 @t248)) % 111.94/112.94 (define @t252 () (not (= @t135 @t136))) % 111.94/112.94 (define @t253 () (or @t137 @t252 @t134)) % 111.94/112.94 (define @t254 () (forall @t11 @t253)) % 111.94/112.94 (define @t255 () (not @t254)) % 111.94/112.94 (define @t256 () (or @t201 @t255 @t107)) % 111.94/112.94 (define @t257 () (forall @t16 @t250)) % 111.94/112.94 (define @t258 () (not @t138)) % 111.94/112.94 (define @t259 () (or @t201 @t258 @t107)) % 111.94/112.94 (define @t260 () (= @t133 @t139)) % 111.94/112.94 (define @t261 () (tptp.apply tptp.g @t139)) % 111.94/112.94 (define @t262 () (= @t136 @t261)) % 111.94/112.94 (define @t263 () (not @t262)) % 111.94/112.94 (define @t264 () (not @t143)) % 111.94/112.94 (define @t265 () (or @t264 @t263 @t260)) % 111.94/112.94 (define @t266 () (not @t265)) % 111.94/112.94 (define @t267 () (or @t264 @t263 (= @t139 @t133))) % 111.94/112.94 (define @t268 () (not @t267)) % 111.94/112.94 (define @t269 () (@list true)) % 111.94/112.94 (define @t270 () (@list @t265)) % 111.94/112.94 (define @t271 () (= @t136 @t214)) % 111.94/112.94 (define @t272 () (and @t262 @t162 @t215)) % 111.94/112.94 (define @t273 () (@var "BOUND_VARIABLE_7860" $$unsorted)) % 111.94/112.94 (define @t274 () (tptp.apply @t5 @t273)) % 111.94/112.94 (define @t275 () (not (= @t274 @t2))) % 111.94/112.94 (define @t276 () (not (tptp.element @t273 @t3))) % 111.94/112.94 (define @t277 () (not @t29)) % 111.94/112.94 (define @t278 () (= @t273 @t4)) % 111.94/112.94 (define @t279 () (or @t277 @t221 @t276 @t275 @t278)) % 111.94/112.94 (define @t280 () (or @t276 @t275 @t278)) % 111.94/112.94 (define @t281 () (or @t277 @t221 @t280)) % 111.94/112.94 (define @t282 () (forall (@list @t5 @t3 @t1 @t273) @t281)) % 111.94/112.94 (define @t283 () (@list @t273)) % 111.94/112.94 (define @t284 () (forall @t283 @t281)) % 111.94/112.94 (define @t285 () (forall @t283 @t280)) % 111.94/112.94 (define @t286 () (or @t277 @t221 @t285)) % 111.94/112.94 (define @t287 () (or @t277 @t221 @t248)) % 111.94/112.94 (define @t288 () (or @t277 @t221)) % 111.94/112.94 (define @t289 () (not @t30)) % 111.94/112.94 (define @t290 () (= @t236 @t213)) % 111.94/112.94 (define @t291 () (not @t271)) % 111.94/112.94 (define @t292 () (not @t237)) % 111.94/112.94 (define @t293 () (not @t101)) % 111.94/112.94 (define @t294 () (or @t293 @t199 @t292 @t291 @t290)) % 111.94/112.94 (define @t295 () (= @t234 @t159)) % 111.94/112.94 (define @t296 () (not @t290)) % 111.94/112.94 (define @t297 () (not @t105)) % 111.94/112.94 (define @t298 () (or @t297 @t200 @t164 @t296 @t295)) % 111.94/112.94 (define @t299 () (tptp.apply tptp.alpha @t234)) % 111.94/112.94 (define @t300 () (or @t182 (tptp.element @t178 tptp.b))) % 111.94/112.94 (define @t301 () (and @t300 (= @t299 @t133))) % 111.94/112.94 (define @t302 () (or @t150 @t301)) % 111.94/112.94 (define @t303 () (= @t133 @t299)) % 111.94/112.94 (define @t304 () (and @t300 @t303)) % 111.94/112.94 (define @t305 () (or @t150 @t304)) % 111.94/112.94 (define @t306 () (and @t303 @t162 @t295)) % 111.94/112.94 (define @t307 () (not @t165)) % 111.94/112.94 (define @t308 () (not (= @t161 @t139))) % 111.94/112.94 (define @t309 () (or @t164 @t308)) % 111.94/112.94 (define @t310 () (not @t309)) % 111.94/112.94 (define @t311 () (not @t144)) % 111.94/112.94 (define @t312 () (not @t142)) % 111.94/112.94 (define @t313 () (not @t127)) % 111.94/112.94 (define @t314 () (or @t117 @t116 @t313)) % 111.94/112.94 (define @t315 () (and @t53 @t52 @t127)) % 111.94/112.94 (define @t316 () (and @t143 @t262)) % 111.94/112.94 (define @t317 () (tptp.exact tptp.alpha tptp.g)) % 111.94/112.94 (define @t318 () (not @t317)) % 111.94/112.94 (define @t319 () (or @t318 @t150 @t201 (= @t316 @t148))) % 111.94/112.94 (define @t320 () (= @t148 @t316)) % 111.94/112.94 (define @t321 () (or @t318 @t150 @t201 @t320)) % 111.94/112.94 (define @t322 () (not @t320)) % 111.94/112.94 (define @t323 () (@list false false true false)) % 111.94/112.94 (define @t324 () (forall @t50 (= (and (tptp.element @t39 tptp.b) (= @t136 (tptp.apply tptp.g @t39))) (not (forall @t36 (or @t146 (not (= @t39 @t145)))))))) % 111.94/112.94 (define @t325 () (not @t324)) % 111.94/112.94 (define @t326 () (or @t150 @t201 @t325 @t317)) % 111.94/112.94 (define @t327 () (@quantifiers_skolemize @t324 0)) % 111.94/112.94 (define @t328 () (forall @t36 (or @t146 (not (= @t145 @t327))))) % 111.94/112.94 (define @t329 () (not @t328)) % 111.94/112.94 (define @t330 () (tptp.apply tptp.g @t327)) % 111.94/112.94 (define @t331 () (= @t136 @t330)) % 111.94/112.94 (define @t332 () (tptp.element @t327 tptp.b)) % 111.94/112.94 (define @t333 () (and @t332 @t331)) % 111.94/112.94 (define @t334 () (= @t333 @t329)) % 111.94/112.94 (define @t335 () (not @t334)) % 111.94/112.94 (define @t336 () (not (= @t327 @t145))) % 111.94/112.94 (define @t337 () (or @t146 @t336)) % 111.94/112.94 (define @t338 () (forall @t36 @t337)) % 111.94/112.94 (define @t339 () (not @t338)) % 111.94/112.94 (define @t340 () (= @t333 @t339)) % 111.94/112.94 (define @t341 () (not @t340)) % 111.94/112.94 (define @t342 () (not @t333)) % 111.94/112.94 (define @t343 () (tptp.apply tptp.beta @t327)) % 111.94/112.94 (define @t344 () (= @t141 @t343)) % 111.94/112.94 (define @t345 () (and @t332 @t344)) % 111.94/112.94 (define @t346 () (not @t345)) % 111.94/112.94 (define @t347 () (or @t151 @t150 @t149 (= @t345 @t329))) % 111.94/112.94 (define @t348 () (= @t329 @t345)) % 111.94/112.94 (define @t349 () (or @t151 @t150 @t149 @t348)) % 111.94/112.94 (define @t350 () (not @t348)) % 111.94/112.94 (define @t351 () (not @t329)) % 111.94/112.94 (define @t352 () (tptp.apply tptp.beta @t133)) % 111.94/112.94 (define @t353 () (tptp.element @t343 tptp.c)) % 111.94/112.94 (define @t354 () (not @t332)) % 111.94/112.94 (define @t355 () (or @t354 @t353)) % 111.94/112.94 (define @t356 () (= @t352 @t141)) % 111.94/112.94 (define @t357 () (and @t355 @t356)) % 111.94/112.94 (define @t358 () (or @t149 @t357)) % 111.94/112.94 (define @t359 () (= @t141 @t352)) % 111.94/112.94 (define @t360 () (and @t355 @t359)) % 111.94/112.94 (define @t361 () (or @t149 @t360)) % 111.94/112.94 (define @t362 () (tptp.apply tptp.h @t343)) % 111.94/112.94 (define @t363 () (= (tptp.apply tptp.delta @t330) @t362)) % 111.94/112.94 (define @t364 () (not @t100)) % 111.94/112.94 (define @t365 () (not @t97)) % 111.94/112.94 (define @t366 () (tptp.commute tptp.g tptp.delta tptp.beta tptp.h)) % 111.94/112.94 (define @t367 () (not @t366)) % 111.94/112.94 (define @t368 () (or @t367 @t201 @t365 @t149 @t364 @t354 @t363)) % 111.94/112.94 (define @t369 () (tptp.apply tptp.beta @t34)) % 111.94/112.94 (define @t370 () (not (tptp.element @t34 tptp.b))) % 111.94/112.94 (define @t371 () (forall @t36 (or @t370 (= (tptp.apply tptp.delta (tptp.apply tptp.g @t34)) (tptp.apply tptp.h @t369))))) % 111.94/112.94 (define @t372 () (@quantifiers_skolemize @t371 0)) % 111.94/112.94 (define @t373 () (tptp.element @t372 tptp.b)) % 111.94/112.94 (define @t374 () (tptp.apply tptp.h (tptp.apply tptp.beta @t372))) % 111.94/112.94 (define @t375 () (tptp.apply tptp.delta (tptp.apply tptp.g @t372))) % 111.94/112.94 (define @t376 () (= @t375 @t374)) % 111.94/112.94 (define @t377 () (not @t373)) % 111.94/112.94 (define @t378 () (or @t377 @t376)) % 111.94/112.94 (define @t379 () (not @t104)) % 111.94/112.94 (define @t380 () (or @t379 @t149 @t364 @t201 @t365 @t377 (= @t374 @t375))) % 111.94/112.94 (define @t381 () (or @t379 @t149 @t364 @t201 @t365 @t377 @t376)) % 111.94/112.94 (define @t382 () (not @t378)) % 111.94/112.94 (define @t383 () (not @t371)) % 111.94/112.94 (define @t384 () (forall @t77 @t172)) % 111.94/112.94 (define @t385 () (@list tptp.g tptp.delta tptp.beta tptp.h tptp.b tptp.e tptp.c tptp.r)) % 111.94/112.94 (define @t386 () (or @t201 @t365 @t149 @t364 @t383 @t366)) % 111.94/112.94 (define @t387 () (not @t344)) % 111.94/112.94 (define @t388 () (tptp.zero tptp.r)) % 111.94/112.94 (define @t389 () (= @t388 @t362)) % 111.94/112.94 (define @t390 () (not @t389)) % 111.94/112.94 (define @t391 () (not @t353)) % 111.94/112.94 (define @t392 () (not @t106)) % 111.94/112.94 (define @t393 () (or @t392 @t364 @t391 @t390 @t344)) % 111.94/112.94 (define @t394 () (tptp.apply tptp.delta @t136)) % 111.94/112.94 (define @t395 () (@quantifiers_skolemize (forall @t11 (or (not (tptp.element @t7 tptp.e)) (not (= @t388 (tptp.apply tptp.delta @t7))) (= @t7 @t136))) 0)) % 111.94/112.94 (define @t396 () (or (not (tptp.element @t395 tptp.e)) (tptp.element (tptp.apply tptp.delta @t395) tptp.r))) % 111.94/112.94 (define @t397 () (and @t396 (= @t394 @t388))) % 111.94/112.94 (define @t398 () (or @t365 @t397)) % 111.94/112.94 (define @t399 () (= @t388 @t394)) % 111.94/112.94 (define @t400 () (and @t396 @t399)) % 111.94/112.94 (define @t401 () (or @t365 @t400)) % 111.94/112.94 (define @t402 () (and @t331 @t363 @t399)) % 111.94/112.94 (define @t403 () (tptp.apply tptp.h @t140)) % 111.94/112.94 (define @t404 () (tptp.apply tptp.delta @t261)) % 111.94/112.94 (define @t405 () (= @t404 @t403)) % 111.94/112.94 (define @t406 () (or @t367 @t201 @t365 @t149 @t364 @t264 @t405)) % 111.94/112.94 (define @t407 () (tptp.apply tptp.h @t141)) % 111.94/112.94 (define @t408 () (@quantifiers_skolemize (forall @t50 (= (and (tptp.element @t39 tptp.c) (= @t388 (tptp.apply tptp.h @t39))) (not (forall @t36 (or @t370 (not (= @t39 @t369))))))) 0)) % 111.94/112.94 (define @t409 () (or (not (tptp.element @t408 tptp.c)) (tptp.element (tptp.apply tptp.h @t408) tptp.r))) % 111.94/112.94 (define @t410 () (and @t409 (= @t407 @t388))) % 111.94/112.94 (define @t411 () (or @t364 @t410)) % 111.94/112.94 (define @t412 () (= @t388 @t407)) % 111.94/112.94 (define @t413 () (and @t409 @t412)) % 111.94/112.94 (define @t414 () (or @t364 @t413)) % 111.94/112.94 (define @t415 () (= @t403 @t362)) % 111.94/112.94 (define @t416 () (and @t262 @t344 @t405 @t399 @t412)) % 111.94/112.94 (define @t417 () (tptp.element @t140 tptp.c)) % 111.94/112.94 (define @t418 () (or @t264 @t417)) % 111.94/112.94 (define @t419 () (and @t418 @t356)) % 111.94/112.94 (define @t420 () (or @t149 @t419)) % 111.94/112.94 (define @t421 () (and @t418 @t359)) % 111.94/112.94 (define @t422 () (or @t149 @t421)) % 111.94/112.94 (define @t423 () (@var "BOUND_VARIABLE_7632" $$unsorted)) % 111.94/112.94 (define @t424 () (@var "BOUND_VARIABLE_7630" $$unsorted)) % 111.94/112.94 (define @t425 () (= @t424 @t423)) % 111.94/112.94 (define @t426 () (not (= (tptp.apply @t5 @t424) (tptp.apply @t5 @t423)))) % 111.94/112.94 (define @t427 () (not (tptp.element @t423 @t3))) % 111.94/112.94 (define @t428 () (not (tptp.element @t424 @t3))) % 111.94/112.94 (define @t429 () (or @t428 @t427 @t426 @t425)) % 111.94/112.94 (define @t430 () (or @t277 @t221 @t429)) % 111.94/112.94 (define @t431 () (forall (@list @t5 @t3 @t1 @t424 @t423) @t430)) % 111.94/112.94 (define @t432 () (@list @t424 @t423)) % 111.94/112.94 (define @t433 () (forall @t432 @t430)) % 111.94/112.94 (define @t434 () (forall @t432 @t429)) % 111.94/112.94 (define @t435 () (or @t277 @t221 @t434)) % 111.94/112.94 (define @t436 () (not @t23)) % 111.94/112.94 (define @t437 () (not @t24)) % 111.94/112.94 (define @t438 () (not @t25)) % 111.94/112.94 (define @t439 () (or @t438 @t437 @t436 @t20)) % 111.94/112.94 (define @t440 () (forall @t27 @t439)) % 111.94/112.94 (define @t441 () (or @t277 @t221 @t440)) % 111.94/112.94 (define @t442 () (or @t438 @t437 @t436)) % 111.94/112.94 (define @t443 () (= @t140 @t343)) % 111.94/112.94 (define @t444 () (not @t415)) % 111.94/112.94 (define @t445 () (not @t417)) % 111.94/112.94 (define @t446 () (or @t392 @t364 @t445 @t391 @t444 @t443)) % 111.94/112.94 (define @t447 () (@quantifiers_skolemize (forall @t27 (or (not (tptp.element @t19 tptp.b)) (not (tptp.element @t18 tptp.b)) (not (= (tptp.apply tptp.g @t19) (tptp.apply tptp.g @t18))) @t20)) 0)) % 111.94/112.94 (define @t448 () (or (not (tptp.element @t447 tptp.b)) (tptp.element (tptp.apply tptp.beta @t447) tptp.c))) % 111.94/112.94 (define @t449 () (and @t448 @t356)) % 111.94/112.94 (define @t450 () (or @t149 @t449)) % 111.94/112.94 (define @t451 () (and @t448 @t359)) % 111.94/112.94 (define @t452 () (or @t149 @t451)) % 111.94/112.94 (define @t453 () (not @t443)) % 111.94/112.94 (define @t454 () (not @t359)) % 111.94/112.94 (define @t455 () (and @t359 @t344 @t443 @t312)) % 111.94/112.94 (assume @p1 @t17) % 111.94/112.94 (assume @p2 @t32) % 111.94/112.94 (assume @p3 (forall @t16 (=> (and @t14 @t28) @t29))) % 111.94/112.94 (assume @p4 (forall @t16 (=> (and @t38 @t14) @t37))) % 111.94/112.94 (assume @p5 (forall @t16 (=> (and @t14 @t37) @t38))) % 111.94/112.94 (assume @p6 @t58) % 111.94/112.94 (assume @p7 @t61) % 111.94/112.94 (assume @p8 @t78) % 111.94/112.94 (assume @p9 @t81) % 111.94/112.94 (assume @p10 (forall @t84 (=> @t83 (tptp.element @t82 @t3)))) % 111.94/112.94 (assume @p11 (forall (@list @t3 @t7) (=> @t10 (= (tptp.subtract @t3 @t7 @t7) @t4)))) % 111.94/112.94 (assume @p12 (forall @t84 (=> @t83 (= (tptp.subtract @t3 @t19 @t82) @t18)))) % 111.94/112.94 (assume @p13 (forall @t16 (=> @t14 (forall @t27 (=> @t83 (= (tptp.apply @t5 @t82) (tptp.subtract @t1 @t22 @t21))))))) % 111.94/112.94 (assume @p14 @t90) % 111.94/112.94 (assume @p15 @t93) % 111.94/112.94 (assume @p16 @t94) % 111.94/112.94 (assume @p17 @t95) % 111.94/112.94 (assume @p18 @t96) % 111.94/112.94 (assume @p19 @t97) % 111.94/112.94 (assume @p20 @t98) % 111.94/112.94 (assume @p21 @t99) % 111.94/112.94 (assume @p22 @t100) % 111.94/112.94 (assume @p23 (tptp.injection tptp.alpha)) % 111.94/112.94 (assume @p24 @t101) % 111.94/112.94 (assume @p25 (tptp.surjection tptp.beta)) % 111.94/112.94 (assume @p26 (tptp.surjection tptp.delta)) % 111.94/112.94 (assume @p27 @t102) % 111.94/112.94 (assume @p28 (tptp.exact tptp.gammma tptp.delta)) % 111.94/112.94 (assume @p29 @t103) % 111.94/112.94 (assume @p30 @t104) % 111.94/112.94 (assume @p31 @t105) % 111.94/112.94 (assume @p32 @t106) % 111.94/112.94 (assume @p33 (not @t107)) % 111.94/112.94 (assume @p34 true) % 111.94/112.94 (step @p35 :rule eq-symm :args (@t108 @t41)) % 111.94/112.94 (step @p36 :rule cong :premises (@p35) :args (@t109)) % 111.94/112.94 (step @p37 :rule refl :args (@t110)) % 111.94/112.94 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t111)) % 111.94/112.94 (step @p39 :rule cong :premises (@p38) :args (@t112)) % 111.94/112.94 (step @p40 :rule cong :premises (@p39) :args (@t113)) % 111.94/112.94 (step @p41 :rule refl :args (@t114)) % 111.94/112.94 (step @p42 :rule cong :premises (@p41 @p40) :args (@t115)) % 111.94/112.94 (step @p43 :rule refl :args (@t116)) % 111.94/112.94 (step @p44 :rule refl :args (@t117)) % 111.94/112.94 (step @p45 :rule refl :args (@t118)) % 111.94/112.94 (step @p46 :rule nary_cong :premises (@p45 @p44 @p43 @p42) :args (@t119)) % 111.94/112.94 (step @p47 :rule cong :premises (@p46) :args (@t121)) % 111.94/112.94 (step @p48 :rule quant-merge-prenex :args ((= (forall @t57 @t123) @t121))) % 111.94/112.94 (step @p49 :rule alpha_equiv :args (@t124 (@list @t108) (@list @t39))) % 111.94/112.94 (step @p50 :rule refl :args (@t116)) % 111.94/112.94 (step @p51 :rule refl :args (@t117)) % 111.94/112.94 (step @p52 :rule refl :args (@t118)) % 111.94/112.94 (step @p53 :rule nary_cong :premises (@p52 @p51 @p50 @p49) :args (@t125)) % 111.94/112.94 (step @p54 :rule quant-miniscope-or :args ((= @t123 @t125))) % 111.94/112.94 (step @p55 :rule trans :premises (@p54 @p53)) % 111.94/112.94 (step @p56 :rule symm :premises (@p55)) % 111.94/112.94 (step @p57 :rule cong :premises (@p56) :args ((forall @t57 @t128))) % 111.94/112.94 (step @p58 :rule trans :premises (@p57 @p48)) % 111.94/112.94 (step @p59 :rule trans :premises (@p58 @p47)) % 111.94/112.94 (step @p60 :rule aci_norm :args ((= (or @t129 @t127) @t128))) % 111.94/112.94 (step @p61 :rule refl :args (@t127)) % 111.94/112.94 (step @p62 :rule aci_norm :args ((= (or @t118 (or @t117 @t116)) @t129))) % 111.94/112.94 (step @p63 :rule bool-and-de-morgan :args (@t53 @t52 true)) % 111.94/112.94 (step @p64 :rule nary_cong :premises (@p52 @p63) :args ((or @t118 (not (and @t53 @t52))))) % 111.94/112.94 (step @p65 :rule bool-and-de-morgan :args (@t54 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111.94/112.94 (step @p95 :rule refl :args (@t149)) % 111.94/112.94 (step @p96 :rule refl :args (@t150)) % 111.94/112.94 (step @p97 :rule refl :args (@t151)) % 111.94/112.94 (step @p98 :rule nary_cong :premises (@p97 @p96 @p95 @p94) :args (@t152)) % 111.94/112.94 (step @p99 :rule refl :args (@t153)) % 111.94/112.94 (step @p100 :rule cong :premises (@p99 @p98) :args ((=> @t153 @t152))) % 111.94/112.94 (assume-push @p886 @t153) % 111.94/112.94 (step @p102 :rule instantiate :premises (@p93) :args ((@list tptp.alpha tptp.beta tptp.a tptp.b tptp.c @t139))) % 111.94/112.94 (step-pop @p887 :rule scope :premises (@p102)) % 111.94/112.94 (step @p103 :rule process_scope :premises (@p887) :args (@t152)) % 111.94/112.94 (step @p105 :rule eq_resolve :premises (@p103 @p100)) % 111.94/112.94 (step @p106 :rule implies_elim :premises (@p105)) % 111.94/112.94 (step @p107 :rule chain_m_resolution :premises (@p106 @p93) :args (@t155 @t156 @t157)) % 111.94/112.94 (step @p108 :rule cnf_or_pos :args (@t155)) % 111.94/112.94 (step @p109 :rule reordering :premises (@p108) :args ((or @t150 @t149 @t151 @t154 (not @t155)))) % 111.94/112.94 (step @p110 :rule chain_m_resolution :premises (@p109 @p16 @p17 @p27 @p107) :args (@t154 @t158 (@list @t94 @t95 @t102 @t155))) % 111.94/112.94 (step @p111 :rule bool-double-not-elim :args (@t160)) % 111.94/112.94 (step @p112 :rule refl :args (@t165)) % 111.94/112.94 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or @t165 (not @t164)))) % 111.94/112.94 (step @p114 :rule cnf_or_neg :args (@t165 0)) % 111.94/112.94 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 111.94/112.94 (step @p116 :rule reordering :premises (@p115) :args ((or @t160 @t165))) % 111.94/112.94 (step @p117 :rule bool-double-not-elim :args (@t162)) % 111.94/112.94 (step @p118 :rule nary_cong :premises (@p112 @p117) :args ((or @t165 (not @t163)))) % 111.94/112.94 (step @p119 :rule cnf_or_neg :args (@t165 1)) % 111.94/112.94 (step @p120 :rule eq_resolve :premises (@p119 @p118)) % 111.94/112.94 (step @p121 :rule reordering :premises (@p120) :args ((or @t162 @t165))) % 111.94/112.94 (step @p122 :rule aci_norm :args ((= (or @t173 @t74) @t172))) % 111.94/112.94 (step @p123 :rule refl :args (@t74)) % 111.94/112.94 (step @p124 :rule aci_norm :args ((= (or @t171 (or @t170 (or @t169 (or @t168 @t167)))) @t173))) % 111.94/112.94 (step @p125 :rule bool-and-de-morgan :args (@t69 @t166 true)) % 111.94/112.94 (step @p126 :rule refl :args (@t169)) % 111.94/112.94 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or @t169 (not (and @t69 @t166))))) % 111.94/112.94 (step @p128 :rule bool-and-de-morgan :args (@t70 @t69 (and @t166))) % 111.94/112.94 (step @p129 :rule trans :premises (@p128 @p127)) % 111.94/112.94 (step @p130 :rule refl :args (@t170)) % 111.94/112.94 (step @p131 :rule nary_cong :premises (@p130 @p129) :args ((or @t170 (not (and @t70 @t69 @t166))))) % 111.94/112.94 (step @p132 :rule bool-and-de-morgan :args (@t72 @t70 (and @t69 @t166))) % 111.94/112.94 (step @p133 :rule trans :premises (@p132 @p131)) % 111.94/112.94 (step @p134 :rule refl :args (@t171)) % 111.94/112.94 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t171 (not (and @t72 @t70 @t69 @t166))))) % 111.94/112.94 (step @p136 :rule bool-and-de-morgan :args (@t73 @t72 (and @t70 @t69 @t166))) % 111.94/112.94 (step @p137 :rule trans :premises (@p136 @p135)) % 111.94/112.94 (step @p138 :rule trans :premises (@p137 @p124)) % 111.94/112.94 (step @p139 :rule nary_cong :premises (@p138 @p123) :args ((or (not @t174) @t74))) % 111.94/112.94 (step @p140 :rule trans :premises (@p139 @p122)) % 111.94/112.94 (step @p141 :rule bool-impl-elim :args (@t174 @t74)) % 111.94/112.94 (step @p142 :rule trans :premises (@p141 @p140)) % 111.94/112.94 (step @p143 :rule cong :premises (@p142) :args ((forall @t77 (=> @t174 @t74)))) % 111.94/112.94 (step @p144 :rule refl :args (@t74)) % 111.94/112.94 (step @p145 :rule bool-impl-elim :args (@t35 @t66)) % 111.94/112.94 (step @p146 :rule cong :premises (@p145) :args (@t67)) % 111.94/112.94 (step @p147 :rule refl :args (@t69)) % 111.94/112.94 (step @p148 :rule refl :args (@t70)) % 111.94/112.94 (step @p149 :rule refl :args (@t72)) % 111.94/112.94 (step @p150 :rule refl :args (@t73)) % 111.94/112.94 (step @p151 :rule nary_cong :premises (@p150 @p149 @p148 @p147 @p146) :args (@t79)) % 111.94/112.94 (step @p152 :rule cong :premises (@p151 @p144) :args (@t80)) % 111.94/112.94 (step @p153 :rule cong :premises (@p152) :args (@t81)) % 111.94/112.94 (step @p154 :rule trans :premises (@p153 @p143)) % 111.94/112.94 (step @p155 :rule eq_resolve :premises (@p9 @p154)) % 111.94/112.94 (step @p156 :rule instantiate :premises (@p155) :args ((@list tptp.f tptp.gamma tptp.alpha tptp.g tptp.a tptp.d tptp.b tptp.e))) % 111.94/112.94 (step @p157 :rule bool-double-not-elim :args (@t177)) % 111.94/112.94 (step @p158 :rule refl :args (@t183)) % 111.94/112.94 (step @p159 :rule nary_cong :premises (@p158 @p157) :args ((or @t183 (not @t182)))) % 111.94/112.94 (step @p160 :rule cnf_or_neg :args (@t183 0)) % 111.94/112.94 (step @p161 :rule eq_resolve :premises (@p160 @p159)) % 111.94/112.94 (step @p162 :rule reordering :premises (@p161) :args ((or @t177 @t183))) % 111.94/112.94 (step @p163 :rule cnf_or_neg :args (@t183 1)) % 111.94/112.94 (step @p164 :rule aci_norm :args ((= @t190 @t188))) % 111.94/112.94 (step @p165 :rule cong :premises (@p164) :args (@t192)) % 111.94/112.94 (step @p166 :rule quant-merge-prenex :args ((= (forall @t77 @t194) @t192))) % 111.94/112.94 (step @p167 :rule alpha_equiv :args (@t195 (@list @t184) (@list @t34))) % 111.94/112.94 (step @p168 :rule refl :args (@t168)) % 111.94/112.94 (step @p169 :rule refl :args (@t187)) % 111.94/112.94 (step @p170 :rule nary_cong :premises (@p169 @p134 @p130 @p126 @p168 @p167) :args (@t196)) % 111.94/112.94 (step @p171 :rule quant-miniscope-or :args ((= @t194 @t196))) % 111.94/112.94 (step @p172 :rule trans :premises (@p171 @p170)) % 111.94/112.94 (step @p173 :rule symm :premises (@p172)) % 111.94/112.94 (step @p174 :rule cong :premises (@p173) :args ((forall @t77 @t197))) % 111.94/112.94 (step @p175 :rule trans :premises (@p174 @p166)) % 111.94/112.94 (step @p176 :rule trans :premises (@p175 @p165)) % 111.94/112.94 (step @p177 :rule aci_norm :args ((= (or @t198 @t166) @t197))) % 111.94/112.94 (step @p178 :rule refl :args (@t166)) % 111.94/112.94 (step @p179 :rule aci_norm :args ((= (or @t187 (or @t171 (or @t170 (or @t169 @t168)))) @t198))) % 111.94/112.94 (step @p180 :rule bool-and-de-morgan :args (@t70 @t69 true)) % 111.94/112.94 (step @p181 :rule nary_cong :premises (@p130 @p180) :args ((or @t170 (not (and @t70 @t69))))) % 111.94/112.94 (step @p182 :rule bool-and-de-morgan :args (@t72 @t70 (and @t69))) % 111.94/112.94 (step @p183 :rule trans :premises (@p182 @p181)) % 111.94/112.94 (step @p184 :rule nary_cong :premises (@p134 @p183) :args ((or @t171 (not (and @t72 @t70 @t69))))) % 111.94/112.94 (step @p185 :rule bool-and-de-morgan :args (@t73 @t72 (and @t70 @t69))) % 111.94/112.94 (step @p186 :rule trans :premises (@p185 @p184)) % 111.94/112.94 (step @p187 :rule nary_cong :premises (@p169 @p186) :args ((or @t187 (not (and @t73 @t72 @t70 @t69))))) % 111.94/112.94 (step @p188 :rule bool-and-de-morgan :args (@t74 @t73 (and @t72 @t70 @t69))) % 111.94/112.94 (step @p189 :rule trans :premises (@p188 @p187)) % 111.94/112.94 (step @p190 :rule trans :premises (@p189 @p179)) % 111.94/112.94 (step @p191 :rule nary_cong :premises (@p190 @p178) :args ((or (not @t75) @t166))) % 111.94/112.94 (step @p192 :rule trans :premises (@p191 @p177)) % 111.94/112.94 (step @p193 :rule bool-impl-elim :args (@t75 @t166)) % 111.94/112.94 (step @p194 :rule trans :premises (@p193 @p192)) % 111.94/112.94 (step @p195 :rule cong :premises (@p194) :args ((forall @t77 (=> @t75 @t166)))) % 111.94/112.94 (step @p196 :rule trans :premises (@p195 @p176)) % 111.94/112.94 (step @p197 :rule refl :args (@t75)) % 111.94/112.94 (step @p198 :rule cong :premises (@p197 @p146) :args (@t76)) % 111.94/112.94 (step @p199 :rule cong :premises (@p198) :args (@t78)) % 111.94/112.94 (step @p200 :rule trans :premises (@p199 @p196)) % 111.94/112.94 (step @p201 :rule eq_resolve :premises (@p8 @p200)) % 111.94/112.94 (step @p202 :rule eq-symm :args (@t179 @t180)) % 111.94/112.94 (step @p203 :rule refl :args (@t182)) % 111.94/112.94 (step @p204 :rule refl :args (@t199)) % 111.94/112.94 (step @p205 :rule refl :args (@t200)) % 111.94/112.94 (step @p206 :rule refl :args (@t201)) % 111.94/112.94 (step @p207 :rule refl :args (@t202)) % 111.94/112.94 (step @p208 :rule nary_cong :premises (@p207 @p96 @p206 @p205 @p204 @p203 @p202) :args (@t203)) % 111.94/112.94 (step @p209 :rule refl :args (@t204)) % 111.94/112.94 (step @p210 :rule cong :premises (@p209 @p208) :args ((=> @t204 @t203))) % 111.94/112.94 (assume-push @p888 @t204) % 111.94/112.94 (step @p212 :rule instantiate :premises (@p201) :args ((@list tptp.alpha tptp.g tptp.f tptp.gamma tptp.a tptp.b tptp.d tptp.e @t176))) % 111.94/112.94 (step-pop @p889 :rule scope :premises (@p212)) % 111.94/112.94 (step @p213 :rule process_scope :premises (@p889) :args (@t203)) % 111.94/112.94 (step @p215 :rule eq_resolve :premises (@p213 @p210)) % 111.94/112.94 (step @p216 :rule implies_elim :premises (@p215)) % 111.94/112.94 (step @p217 :rule chain_m_resolution :premises (@p216 @p201) :args (@t205 @t156 @t206)) % 111.94/112.94 (step @p218 :rule cnf_or_pos :args (@t205)) % 111.94/112.94 (step @p219 :rule reordering :premises (@p218) :args ((or @t150 @t199 @t200 @t201 @t202 @t182 @t181 (not @t205)))) % 111.94/112.94 (step @p220 :rule chain_m_resolution :premises (@p219 @p217 @p29 @p21 @p20 @p18 @p16 @p163 @p162) :args (@t183 @t207 (@list @t205 @t103 @t99 @t98 @t96 @t94 @t181 @t177))) % 111.94/112.94 (step @p221 :rule refl :args (@t208)) % 111.94/112.94 (step @p222 :rule bool-double-not-elim :args (@t175)) % 111.94/112.94 (step @p223 :rule nary_cong :premises (@p222 @p221) :args ((or (not @t209) @t208))) % 111.94/112.94 (assume-push @p890 @t209) % 111.94/112.94 (step @p225 :rule skolemize :premises (@p890)) % 111.94/112.94 (step-pop @p891 :rule scope :premises (@p225)) % 111.94/112.94 (step @p226 :rule process_scope :premises (@p891) :args (@t208)) % 111.94/112.94 (step @p228 :rule implies_elim :premises (@p226)) % 111.94/112.94 (step @p229 :rule eq_resolve :premises (@p228 @p223)) % 111.94/112.94 (step @p230 :rule chain_m_resolution :premises (@p229 @p220) :args (@t175 @t156 (@list @t183))) % 111.94/112.94 (step @p231 :rule cnf_or_pos :args (@t211)) % 111.94/112.94 (step @p232 :rule reordering :premises (@p231) :args ((or @t150 @t199 @t200 @t201 @t209 @t210 (not @t211)))) % 111.94/112.94 (step @p233 :rule chain_m_resolution :premises (@p232 @p16 @p18 @p20 @p21 @p230 @p156) :args (@t210 @t212 (@list @t94 @t96 @t98 @t99 @t175 @t211))) % 111.94/112.94 (step @p234 :rule instantiate :premises (@p201) :args ((@list tptp.f tptp.gamma tptp.alpha tptp.g tptp.a tptp.d tptp.b tptp.e 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(@t402)) % 111.94/112.94 (step @p704 :rule resolution :premises (@p703 @p702) :args (true @t402)) % 111.94/112.94 (step @p705 :rule chain_m_resolution :premises (@p704 @p682 @p664 @p662 @p32 @p22 @p661 @p659 @p574 @p657 @p651 @p603 @p600 @p597 @p594 @p261 @p650 @p648 @p17 @p19 @p21 @p22 @p646 @p155 @p641 @p632 @p608 @p201) :args ((or @t334 @t354 (not @t331)) (@list false true false false false true true false false false false false false false false false false false false false false false false false false false false) (@list @t399 @t389 @t393 @t106 @t100 @t344 @t345 @t348 @t328 @t333 @t353 @t355 @t360 @t361 @t223 @t363 @t366 @t95 @t97 @t99 @t100 @t386 @t384 @t371 @t378 @t368 @t204))) % 111.94/112.94 (step @p706 :rule cnf_and_pos :args (@t333 1)) % 111.94/112.94 (step @p707 :rule reordering :premises (@p706) :args ((or @t331 @t342))) % 111.94/112.94 (step @p708 :rule cnf_and_pos :args (@t345 1)) % 111.94/112.94 (step @p709 :rule reordering :premises (@p708) :args ((or @t344 @t346))) % 111.94/112.94 (step @p710 :rule instantiate :premises (@p201) :args ((@list tptp.g tptp.delta tptp.beta tptp.h tptp.b tptp.e tptp.c tptp.r @t139))) % 111.94/112.94 (step @p643 :rule instantiate :premises (@p155) :args (@t385)) % 111.94/112.94 (step @p711 :rule chain_m_resolution :premises (@p641 @p632) :args (@t371 @t156 (@list @t378))) % 111.94/112.94 (step @p712 :rule chain_m_resolution :premises (@p648 @p17 @p19 @p21 @p22 @p711 @p643) :args (@t366 @t212 (@list @t95 @t97 @t99 @t100 @t371 @t386))) % 111.94/112.94 (step @p713 :rule cnf_or_pos :args (@t406)) % 111.94/112.94 (step @p714 :rule reordering :premises (@p713) :args ((or @t149 @t365 @t201 @t364 @t367 @t264 @t405 (not @t406)))) % 111.94/112.94 (step @p715 :rule chain_m_resolution :premises (@p714 @p17 @p19 @p21 @p22 @p712 @p485 @p710) :args (@t405 (@list false false false false false false false) (@list @t95 @t97 @t99 @t100 @t366 @t143 @t406))) % 111.94/112.94 (step @p716 :rule eq-symm :args (@t407 @t388)) % 111.94/112.94 (step @p717 :rule refl :args (@t409)) % 111.94/112.94 (step @p718 :rule nary_cong :premises (@p717 @p716) :args (@t410)) % 111.94/112.94 (step @p719 :rule nary_cong :premises (@p619 @p718) :args (@t411)) % 111.94/112.94 (step @p720 :rule cong :premises (@p266 @p719) :args ((=> @t223 @t411))) % 111.94/112.94 (assume-push @p956 @t223) % 111.94/112.94 (step @p722 :rule instantiate :premises (@p261) :args ((@list tptp.h tptp.c tptp.r @t408))) % 111.94/112.94 (step-pop @p957 :rule scope :premises (@p722)) % 111.94/112.94 (step @p723 :rule process_scope :premises (@p957) :args (@t411)) % 111.94/112.94 (step @p725 :rule eq_resolve :premises (@p723 @p720)) % 111.94/112.94 (step @p726 :rule implies_elim :premises (@p725)) % 111.94/112.94 (step @p727 :rule chain_m_resolution :premises (@p726 @p261) :args (@t414 @t156 @t244)) % 111.94/112.94 (step @p728 :rule cnf_or_pos :args (@t414)) % 111.94/112.94 (step @p729 :rule reordering :premises (@p728) :args ((or @t364 @t413 (not @t414)))) % 111.94/112.94 (step @p730 :rule chain_m_resolution :premises (@p729 @p22 @p727) :args (@t413 @t245 (@list @t100 @t414))) % 111.94/112.94 (step @p731 :rule cnf_and_pos :args (@t413 1)) % 111.94/112.94 (step @p732 :rule reordering :premises (@p731) :args ((or @t412 (not @t413)))) % 111.94/112.94 (step @p733 :rule chain_m_resolution :premises (@p732 @p730) :args (@t412 @t156 (@list @t413))) % 111.94/112.94 (assume-push @p958 @t262) % 111.94/112.94 (assume-push @p959 @t344) % 111.94/112.94 (assume-push @p960 @t405) % 111.94/112.94 (assume-push @p961 @t399) % 111.94/112.94 (assume-push @p962 @t412) % 111.94/112.94 (assume-push @p963 @t344) % 111.94/112.94 (assume-push @p964 @t412) % 111.94/112.94 (assume-push @p965 @t399) % 111.94/112.94 (assume-push @p966 @t262) % 111.94/112.94 (assume-push @p967 @t405) % 111.94/112.94 (step @p744 :rule refl :args (tptp.h)) % 111.94/112.94 (step @p745 :rule cong :premises (@p744 @p959) :args (@t407)) % 111.94/112.94 (step @p746 :rule symm :premises (@p682)) % 111.94/112.94 (step @p747 :rule symm :premises (@p350)) % 111.94/112.94 (step @p689 :rule refl :args (tptp.delta)) % 111.94/112.94 (step @p748 :rule cong :premises (@p689 @p747) :args (@t404)) % 111.94/112.94 (step @p749 :rule symm :premises (@p960)) % 111.94/112.94 (step @p750 :rule trans :premises (@p749 @p748 @p746 @p733 @p745)) % 111.94/112.94 (step-pop @p968 :rule scope :premises (@p750)) % 111.94/112.94 (step-pop @p969 :rule scope :premises (@p968)) % 111.94/112.94 (step-pop @p970 :rule scope :premises (@p969)) % 111.94/112.94 (step-pop @p971 :rule scope :premises (@p970)) % 111.94/112.94 (step-pop @p972 :rule scope :premises (@p971)) % 111.94/112.94 (step @p751 :rule process_scope :premises (@p972) :args (@t415)) % 111.94/112.94 (step @p757 :rule and_intro :premises (@p959 @p733 @p682 @p350 @p960)) % 111.94/112.94 (step @p758 :rule modus_ponens :premises (@p757 @p751)) % 111.94/112.94 (step-pop @p973 :rule scope :premises (@p758)) % 111.94/112.94 (step-pop @p974 :rule scope :premises (@p973)) % 111.94/112.94 (step-pop @p975 :rule scope :premises (@p974)) % 111.94/112.94 (step-pop @p976 :rule scope :premises (@p975)) % 111.94/112.94 (step-pop @p977 :rule scope :premises (@p976)) % 111.94/112.94 (step @p759 :rule process_scope :premises (@p977) :args (@t415)) % 111.94/112.94 (step @p765 :rule implies_elim :premises (@p759)) % 111.94/112.94 (step @p766 :rule cnf_and_neg :args (@t416)) % 111.94/112.94 (step @p767 :rule resolution :premises (@p766 @p765) :args (true @t416)) % 111.94/112.94 (step @p768 :rule refl :args (@t418)) % 111.94/112.94 (step @p769 :rule nary_cong :premises (@p768 @p584) :args (@t419)) % 111.94/112.94 (step @p770 :rule nary_cong :premises (@p95 @p769) :args (@t420)) % 111.94/112.94 (step @p771 :rule cong :premises (@p266 @p770) :args ((=> @t223 @t420))) % 111.94/112.94 (assume-push @p978 @t223) % 111.94/112.94 (step @p773 :rule instantiate :premises (@p261) :args ((@list tptp.beta tptp.b tptp.c @t139))) % 111.94/112.94 (step-pop @p979 :rule scope :premises (@p773)) % 111.94/112.94 (step @p774 :rule process_scope :premises (@p979) :args (@t420)) % 111.94/112.94 (step @p776 :rule eq_resolve :premises (@p774 @p771)) % 111.94/112.94 (step @p777 :rule implies_elim :premises (@p776)) % 111.94/112.94 (step @p778 :rule chain_m_resolution :premises (@p777 @p261) :args (@t422 @t156 @t244)) % 111.94/112.94 (step @p779 :rule cnf_or_pos :args (@t422)) % 111.94/112.94 (step @p780 :rule reordering :premises (@p779) :args ((or @t149 @t421 (not @t422)))) % 111.94/112.94 (step @p781 :rule chain_m_resolution :premises (@p780 @p17 @p778) :args (@t421 @t245 (@list @t95 @t422))) % 111.94/112.94 (step @p782 :rule cnf_and_pos :args (@t421 0)) % 111.94/112.94 (step @p783 :rule reordering :premises (@p782) :args ((or @t418 (not @t421)))) % 111.94/112.94 (step @p784 :rule chain_m_resolution :premises (@p783 @p781) :args (@t418 @t156 (@list @t421))) % 111.94/112.94 (step @p785 :rule cnf_or_pos :args (@t418)) % 111.94/112.94 (step @p786 :rule reordering :premises (@p785) :args ((or @t264 @t417 (not @t418)))) % 111.94/112.94 (step @p787 :rule chain_m_resolution :premises (@p786 @p485 @p784) :args (@t417 @t245 (@list @t143 @t418))) % 111.94/112.94 (step @p788 :rule aci_norm :args ((= @t430 (or @t277 @t221 @t428 @t427 @t426 @t425)))) % 111.94/112.94 (step @p789 :rule cong :premises (@p788) :args (@t431)) % 111.94/112.94 (step @p790 :rule quant-merge-prenex :args ((= (forall @t16 @t433) @t431))) % 111.94/112.94 (step @p791 :rule alpha_equiv :args (@t434 (@list @t424 @t423) (@list @t19 @t18))) % 111.94/112.94 (step @p792 :rule nary_cong :premises (@p386 @p243 @p791) :args (@t435)) % 111.94/112.94 (step @p793 :rule quant-miniscope-or :args ((= @t433 @t435))) % 111.94/112.94 (step @p794 :rule trans :premises (@p793 @p792)) % 111.94/112.94 (step @p795 :rule symm :premises (@p794)) % 111.94/112.94 (step @p796 :rule cong :premises (@p795) :args ((forall @t16 @t441))) % 111.94/112.94 (step @p797 :rule trans :premises (@p796 @p790)) % 111.94/112.94 (step @p798 :rule trans :premises (@p797 @p789)) % 111.94/112.94 (step @p799 :rule aci_norm :args ((= (or @t288 @t440) @t441))) % 111.94/112.94 (step @p800 :rule refl :args (@t440)) % 111.94/112.94 (step @p801 :rule nary_cong :premises (@p396 @p800) :args ((or @t289 @t440))) % 111.94/112.94 (step @p802 :rule trans :premises (@p801 @p799)) % 111.94/112.94 (step @p803 :rule bool-impl-elim :args (@t30 @t440)) % 111.94/112.94 (step @p804 :rule trans :premises (@p803 @p802)) % 111.94/112.94 (step @p805 :rule cong :premises (@p804) :args ((forall @t16 (=> @t30 @t440)))) % 111.94/112.94 (step @p806 :rule trans :premises (@p805 @p798)) % 111.94/112.94 (step @p807 :rule aci_norm :args ((= (or @t442 @t20) @t439))) % 111.94/112.94 (step @p808 :rule refl :args (@t20)) % 111.94/112.94 (step @p809 :rule aci_norm :args ((= (or @t438 (or @t437 @t436)) @t442))) % 111.94/112.94 (step @p810 :rule bool-and-de-morgan :args (@t24 @t23 true)) % 111.94/112.94 (step @p811 :rule refl :args (@t438)) % 111.94/112.94 (step @p812 :rule nary_cong :premises (@p811 @p810) :args ((or @t438 (not (and @t24 @t23))))) % 111.94/112.94 (step @p813 :rule bool-and-de-morgan :args (@t25 @t24 (and @t23))) % 111.94/112.94 (step @p814 :rule trans :premises (@p813 @p812)) % 111.94/112.94 (step @p815 :rule trans :premises (@p814 @p809)) % 111.94/112.94 (step @p816 :rule nary_cong :premises (@p815 @p808) :args ((or (not @t26) @t20))) % 111.94/112.94 (step @p817 :rule trans :premises (@p816 @p807)) % 111.94/112.94 (step @p818 :rule bool-impl-elim :args (@t26 @t20)) % 111.94/112.94 (step @p819 :rule trans :premises (@p818 @p817)) % 111.94/112.94 (step @p820 :rule cong :premises (@p819) :args (@t28)) % 111.94/112.94 (step @p821 :rule cong :premises (@p403 @p820) :args (@t31)) % 111.94/112.94 (step @p822 :rule cong :premises (@p821) :args (@t32)) % 111.94/112.94 (step @p823 :rule trans :premises (@p822 @p806)) % 111.94/112.94 (step @p824 :rule eq_resolve :premises (@p2 @p823)) % 111.94/112.94 (step @p825 :rule instantiate :premises (@p824) :args ((@list tptp.h tptp.c tptp.r @t140 @t343))) % 111.94/112.94 (step @p826 :rule cnf_or_pos :args (@t446)) % 111.94/112.94 (step @p827 :rule reordering :premises (@p826) :args ((or @t364 @t392 @t443 @t445 @t391 @t444 (not @t446)))) % 111.94/112.94 (step @p828 :rule refl :args (@t448)) % 111.94/112.94 (step @p829 :rule nary_cong :premises (@p828 @p584) :args (@t449)) % 111.94/112.94 (step @p830 :rule nary_cong :premises (@p95 @p829) :args (@t450)) % 111.94/112.94 (step @p831 :rule cong :premises (@p266 @p830) :args ((=> @t223 @t450))) % 111.94/112.94 (assume-push @p980 @t223) % 111.94/112.94 (step @p833 :rule instantiate :premises (@p261) :args ((@list tptp.beta tptp.b tptp.c @t447))) % 111.94/112.94 (step-pop @p981 :rule scope :premises (@p833)) % 111.94/112.94 (step @p834 :rule process_scope :premises (@p981) :args (@t450)) % 111.94/112.94 (step @p836 :rule eq_resolve :premises (@p834 @p831)) % 111.94/112.94 (step @p837 :rule implies_elim :premises (@p836)) % 111.94/112.94 (step @p838 :rule chain_m_resolution :premises (@p837 @p261) :args (@t452 @t156 @t244)) % 111.94/112.94 (step @p839 :rule cnf_or_pos :args (@t452)) % 111.94/112.94 (step @p840 :rule reordering :premises (@p839) :args ((or @t149 @t451 (not @t452)))) % 111.94/112.94 (step @p841 :rule chain_m_resolution :premises (@p840 @p17 @p838) :args (@t451 @t245 (@list @t95 @t452))) % 111.94/112.94 (step @p842 :rule cnf_and_pos :args (@t451 1)) % 111.94/112.94 (step @p843 :rule reordering :premises (@p842) :args ((or @t359 (not @t451)))) % 111.94/112.94 (step @p844 :rule chain_m_resolution :premises (@p843 @p841) :args (@t359 @t156 (@list @t451))) % 111.94/112.94 (step @p845 :rule refl :args (@t453)) % 111.94/112.94 (step @p846 :rule refl :args (@t454)) % 111.94/112.94 (step @p847 :rule refl :args (@t387)) % 111.94/112.94 (step @p848 :rule bool-double-not-elim :args (@t142)) % 111.94/112.94 (step @p849 :rule nary_cong :premises (@p848 @p847 @p846 @p845) :args ((or (not @t312) @t387 @t454 @t453))) % 111.94/112.94 (assume-push @p982 @t359) % 111.94/112.94 (assume-push @p983 @t344) % 111.94/112.94 (assume-push @p984 @t443) % 111.94/112.94 (assume-push @p985 @t312) % 111.94/112.94 (step @p854 :rule evaluate :args ((= false true))) % 111.94/112.94 (step @p855 :rule symm :premises (@p983)) % 111.94/112.94 (step @p856 :rule trans :premises (@p984 @p855 @p844)) % 111.94/112.94 (step @p857 :rule symm :premises (@p856)) % 111.94/112.94 (step @p858 :rule trans :premises (@p844 @p857)) % 111.94/112.94 (step @p859 :rule true_intro :premises (@p858)) % 111.94/112.94 (step @p860 :rule false_intro :premises (@p985)) % 111.94/112.94 (step @p861 :rule symm :premises (@p860)) % 111.94/112.94 (step @p862 :rule trans :premises (@p861 @p859)) % 111.94/112.94 (step @p863 false :rule eq_resolve :premises (@p862 @p854)) % 111.94/112.94 (step-pop @p986 :rule scope :premises (@p863)) % 111.94/112.94 (step-pop @p987 :rule scope :premises (@p986)) % 111.94/112.94 (step-pop @p988 :rule scope :premises (@p987)) % 111.94/112.94 (step-pop @p989 :rule scope :premises (@p988)) % 111.94/112.94 (step @p864 :rule process_scope :premises (@p989) :args (false)) % 111.94/112.94 (assume-push @p990 @t312) % 111.94/112.94 (assume-push @p991 @t344) % 111.94/112.94 (assume-push @p992 @t359) % 111.94/112.94 (assume-push @p993 @t443) % 111.94/112.94 (step @p873 :rule and_intro :premises (@p844 @p991 @p993 @p990)) % 111.94/112.94 (step-pop @p994 :rule scope :premises (@p873)) % 111.94/112.94 (step-pop @p995 :rule scope :premises (@p994)) % 111.94/112.94 (step-pop @p996 :rule scope :premises (@p995)) % 111.94/112.94 (step-pop @p997 :rule scope :premises (@p996)) % 111.94/112.94 (step @p874 :rule process_scope :premises (@p997) :args (@t455)) % 111.94/112.94 (step @p879 :rule implies_elim :premises (@p874)) % 111.94/112.94 (step @p880 :rule resolution :premises (@p879 @p864) :args (true @t455)) % 111.94/112.94 (step @p881 :rule not_and :premises (@p880)) % 111.94/112.94 (step @p882 :rule eq_resolve :premises (@p881 @p849)) % 111.94/112.94 (step @p883 :rule reordering :premises (@p882) :args ((or @t142 @t387 @t453 @t454))) % 111.94/112.94 (step @p884 :rule chain_m_resolution :premises (@p883 @p844 @p827 @p825 @p787 @p32 @p22 @p767 @p733 @p682 @p715 @p350 @p709 @p581 @p574 @p561 @p707 @p705 @p603 @p601) :args ((or @t334 @t354 @t142) (@list false false false false false false false false false false false false false false true true true false false) (@list @t359 @t443 @t446 @t417 @t106 @t100 @t415 @t412 @t399 @t405 @t262 @t344 @t345 @t348 @t328 @t333 @t331 @t353 @t355))) % 111.94/112.94 (step @p885 false :rule chain_m_resolution :premises (@p884 @p583 @p555 @p488) :args (false (@list false true true) (@list @t332 @t334 @t142))) % 111.94/112.94 ) % 111.94/112.94 % SZS output end Proof % 111.94/112.94 % cvc5 exiting %------------------------------------------------------------------------------