%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HAL006+1 : TPTP v9.2.1. Released v2.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:22:48 AM UTC 2026 % Result : Theorem 115.54s 115.71s % Output : Proof 115.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.14 % Problem : HAL006+1 : TPTP v9.2.1. Released v2.6.0. % 0.11/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.36 % Computer : n028.cluster.edu % 0.17/0.36 % Model : x86_64 x86_64 % 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.36 % Memory : 8042.1875MB % 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.36 % CPULimit : 300 % 0.17/0.36 % WCLimit : 300 % 0.17/0.36 % DateTime : Tue Jun 2 02:13:20 EDT 2026 % 0.17/0.36 % CPUTime : % 0.31/0.52 %----Proving TF0_NAR, FOF, or CNF % 115.54/115.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 115.54/115.71 --- Run --no-e-matching --full-saturate-quant at 6... % 115.54/115.71 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 115.54/115.71 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 115.54/115.71 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 115.54/115.71 --- Run --trigger-sel=max --full-saturate-quant at 15... % 115.54/115.71 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 115.54/115.71 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 115.54/115.71 % SZS status Theorem % 115.54/115.71 % SZS output start Proof % 115.54/115.71 ( % 115.54/115.71 (declare-sort $$unsorted 0) % 115.54/115.71 (declare-const tptp.gammma $$unsorted) % 115.54/115.71 (declare-const tptp.h $$unsorted) % 115.54/115.71 (declare-const tptp.g $$unsorted) % 115.54/115.71 (declare-const tptp.f $$unsorted) % 115.54/115.71 (declare-const tptp.r $$unsorted) % 115.54/115.71 (declare-const tptp.beta $$unsorted) % 115.54/115.71 (declare-const tptp.zero (-> $$unsorted $$unsorted)) % 115.54/115.71 (declare-const tptp.delta $$unsorted) % 115.54/115.71 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 115.54/115.71 (declare-const tptp.e $$unsorted) % 115.54/115.71 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 115.54/115.71 (declare-const tptp.gamma $$unsorted) % 115.54/115.71 (declare-const tptp.morphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 115.54/115.71 (declare-const tptp.injection (-> $$unsorted Bool)) % 115.54/115.71 (declare-const tptp.alpha $$unsorted) % 115.54/115.71 (declare-const tptp.surjection (-> $$unsorted Bool)) % 115.54/115.71 (declare-const tptp.exact (-> $$unsorted $$unsorted Bool)) % 115.54/115.71 (declare-const tptp.a $$unsorted) % 115.54/115.71 (declare-const tptp.d $$unsorted) % 115.54/115.71 (declare-const tptp.commute (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 115.54/115.71 (declare-const tptp.b $$unsorted) % 115.54/115.71 (declare-const tptp.subtract (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 115.54/115.71 (declare-const tptp.c $$unsorted) % 115.54/115.71 (define @t1 () (@var "Cod" $$unsorted)) % 115.54/115.71 (define @t2 () (tptp.zero @t1)) % 115.54/115.71 (define @t3 () (@var "Dom" $$unsorted)) % 115.54/115.71 (define @t4 () (tptp.zero @t3)) % 115.54/115.71 (define @t5 () (@var "Morphism" $$unsorted)) % 115.54/115.71 (define @t6 () (= (tptp.apply @t5 @t4) @t2)) % 115.54/115.71 (define @t7 () (@var "El" $$unsorted)) % 115.54/115.71 (define @t8 () (tptp.element (tptp.apply @t5 @t7) @t1)) % 115.54/115.71 (define @t9 () (tptp.element @t7 @t3)) % 115.54/115.71 (define @t10 () (@list @t7)) % 115.54/115.71 (define @t11 () (forall @t10 (=> @t9 @t8))) % 115.54/115.71 (define @t12 () (and @t11 @t6)) % 115.54/115.71 (define @t13 () (tptp.morphism @t5 @t3 @t1)) % 115.54/115.71 (define @t14 () (=> @t13 @t12)) % 115.54/115.71 (define @t15 () (@list @t5 @t3 @t1)) % 115.54/115.71 (define @t16 () (forall @t15 @t14)) % 115.54/115.71 (define @t17 () (@var "El2" $$unsorted)) % 115.54/115.71 (define @t18 () (@var "El1" $$unsorted)) % 115.54/115.71 (define @t19 () (tptp.apply @t5 @t17)) % 115.54/115.71 (define @t20 () (tptp.apply @t5 @t18)) % 115.54/115.71 (define @t21 () (tptp.element @t17 @t3)) % 115.54/115.71 (define @t22 () (tptp.element @t18 @t3)) % 115.54/115.71 (define @t23 () (@list @t18 @t17)) % 115.54/115.71 (define @t24 () (forall @t23 (=> (and @t22 @t21 (= @t20 @t19)) (= @t18 @t17)))) % 115.54/115.71 (define @t25 () (tptp.injection @t5)) % 115.54/115.71 (define @t26 () (@var "ElCod" $$unsorted)) % 115.54/115.71 (define @t27 () (@var "ElDom" $$unsorted)) % 115.54/115.71 (define @t28 () (tptp.element @t27 @t3)) % 115.54/115.71 (define @t29 () (@list @t27)) % 115.54/115.71 (define @t30 () (forall (@list @t26) (=> (tptp.element @t26 @t1) (exists @t29 (and @t28 (= (tptp.apply @t5 @t27) @t26)))))) % 115.54/115.71 (define @t31 () (tptp.surjection @t5)) % 115.54/115.71 (define @t32 () (@var "ElCodDom" $$unsorted)) % 115.54/115.71 (define @t33 () (@var "Morphism1" $$unsorted)) % 115.54/115.71 (define @t34 () (@var "Morphism2" $$unsorted)) % 115.54/115.71 (define @t35 () (@var "CodDom" $$unsorted)) % 115.54/115.71 (define @t36 () (forall (@list @t32) (= (and (tptp.element @t32 @t35) (= (tptp.apply @t34 @t32) @t2)) (exists @t29 (and @t28 (= (tptp.apply @t33 @t27) @t32)))))) % 115.54/115.71 (define @t37 () (tptp.morphism @t34 @t35 @t1)) % 115.54/115.71 (define @t38 () (tptp.morphism @t33 @t3 @t35)) % 115.54/115.71 (define @t39 () (tptp.exact @t33 @t34)) % 115.54/115.71 (define @t40 () (@list @t33 @t34 @t3 @t35 @t1)) % 115.54/115.71 (define @t41 () (@var "M3" $$unsorted)) % 115.54/115.71 (define @t42 () (@var "M4" $$unsorted)) % 115.54/115.71 (define @t43 () (@var "M1" $$unsorted)) % 115.54/115.71 (define @t44 () (@var "M2" $$unsorted)) % 115.54/115.71 (define @t45 () (forall @t29 (=> @t28 (= (tptp.apply @t44 (tptp.apply @t43 @t27)) (tptp.apply @t42 (tptp.apply @t41 @t27)))))) % 115.54/115.71 (define @t46 () (@var "DomCod2" $$unsorted)) % 115.54/115.71 (define @t47 () (tptp.morphism @t42 @t46 @t1)) % 115.54/115.71 (define @t48 () (tptp.morphism @t41 @t3 @t46)) % 115.54/115.71 (define @t49 () (@var "DomCod1" $$unsorted)) % 115.54/115.71 (define @t50 () (tptp.morphism @t44 @t49 @t1)) % 115.54/115.71 (define @t51 () (tptp.morphism @t43 @t3 @t49)) % 115.54/115.71 (define @t52 () (tptp.commute @t43 @t44 @t41 @t42)) % 115.54/115.71 (define @t53 () (@list @t43 @t44 @t41 @t42 @t3 @t49 @t46 @t1)) % 115.54/115.71 (define @t54 () (tptp.subtract @t3 @t18 @t17)) % 115.54/115.71 (define @t55 () (and @t22 @t21)) % 115.54/115.71 (define @t56 () (@list @t3 @t18 @t17)) % 115.54/115.71 (define @t57 () (tptp.subtract @t3 @t18 @t54)) % 115.54/115.71 (define @t58 () (=> @t55 (= @t57 @t17))) % 115.54/115.71 (define @t59 () (forall @t56 @t58)) % 115.54/115.71 (define @t60 () (= (tptp.apply @t5 @t54) (tptp.subtract @t1 @t20 @t19))) % 115.54/115.71 (define @t61 () (forall @t23 (=> @t55 @t60))) % 115.54/115.71 (define @t62 () (=> @t13 @t61)) % 115.54/115.71 (define @t63 () (forall @t15 @t62)) % 115.54/115.71 (define @t64 () (tptp.morphism tptp.alpha tptp.a tptp.b)) % 115.54/115.71 (define @t65 () (tptp.morphism tptp.g tptp.b tptp.e)) % 115.54/115.71 (define @t66 () (@var "R" $$unsorted)) % 115.54/115.71 (define @t67 () (@var "B1" $$unsorted)) % 115.54/115.71 (define @t68 () (tptp.apply tptp.g @t67)) % 115.54/115.71 (define @t69 () (tptp.element @t67 tptp.b)) % 115.54/115.71 (define @t70 () (@var "E" $$unsorted)) % 115.54/115.71 (define @t71 () (tptp.element @t70 tptp.e)) % 115.54/115.71 (define @t72 () (@list @t70)) % 115.54/115.71 (define @t73 () (@var "E1" $$unsorted)) % 115.54/115.71 (define @t74 () (@var "A" $$unsorted)) % 115.54/115.71 (define @t75 () (tptp.apply tptp.g (tptp.apply tptp.alpha @t74))) % 115.54/115.71 (define @t76 () (tptp.apply tptp.gamma (tptp.apply tptp.f @t74))) % 115.54/115.71 (define @t77 () (tptp.element @t74 tptp.a)) % 115.54/115.71 (define @t78 () (tptp.subtract tptp.e @t68 @t70)) % 115.54/115.71 (define @t79 () (tptp.element @t73 tptp.e)) % 115.54/115.71 (define @t80 () (and @t69 @t79 (= @t78 @t73) @t77 (= @t76 @t73) (= @t75 @t73))) % 115.54/115.71 (define @t81 () (@list @t67 @t73 @t74)) % 115.54/115.71 (define @t82 () (exists @t81 @t80)) % 115.54/115.71 (define @t83 () (=> @t71 @t82)) % 115.54/115.71 (define @t84 () (forall @t72 @t83)) % 115.54/115.71 (define @t85 () (@var "B2" $$unsorted)) % 115.54/115.71 (define @t86 () (tptp.apply tptp.g (tptp.subtract tptp.b @t67 @t85))) % 115.54/115.71 (define @t87 () (tptp.element @t85 tptp.b)) % 115.54/115.71 (define @t88 () (and @t69 @t87 (= @t86 @t70))) % 115.54/115.71 (define @t89 () (@list @t67 @t85)) % 115.54/115.71 (define @t90 () (exists @t89 @t88)) % 115.54/115.71 (define @t91 () (=> @t71 @t90)) % 115.54/115.71 (define @t92 () (forall @t72 @t91)) % 115.54/115.71 (define @t93 () (not @t92)) % 115.54/115.71 (define @t94 () (not (= @t78 @t75))) % 115.54/115.71 (define @t95 () (not (= @t78 @t76))) % 115.54/115.71 (define @t96 () (not @t77)) % 115.54/115.71 (define @t97 () (not (tptp.element @t78 tptp.e))) % 115.54/115.71 (define @t98 () (not @t69)) % 115.54/115.71 (define @t99 () (or @t98 @t97 @t96 @t95 @t94)) % 115.54/115.71 (define @t100 () (@list @t67 @t74)) % 115.54/115.71 (define @t101 () (not (forall @t100 @t99))) % 115.54/115.71 (define @t102 () (not (= @t78 @t78))) % 115.54/115.71 (define @t103 () (or @t98 @t97 @t102 @t96 @t95 @t94)) % 115.54/115.71 (define @t104 () (= @t73 @t75)) % 115.54/115.71 (define @t105 () (not @t104)) % 115.54/115.71 (define @t106 () (= @t73 @t76)) % 115.54/115.71 (define @t107 () (not @t106)) % 115.54/115.71 (define @t108 () (= @t73 @t78)) % 115.54/115.71 (define @t109 () (not @t108)) % 115.54/115.71 (define @t110 () (not @t79)) % 115.54/115.71 (define @t111 () (or @t109 @t98 @t110 @t109 @t96 @t107 @t105)) % 115.54/115.71 (define @t112 () (@list @t73)) % 115.54/115.71 (define @t113 () (or @t98 @t110 @t109 @t96 @t107 @t105)) % 115.54/115.71 (define @t114 () (forall @t112 @t113)) % 115.54/115.71 (define @t115 () (forall @t100 @t114)) % 115.54/115.71 (define @t116 () (forall (@list @t67 @t74 @t73) @t113)) % 115.54/115.71 (define @t117 () (and @t69 @t79 @t108 @t77 @t106 @t104)) % 115.54/115.71 (define @t118 () (forall @t81 (not @t117))) % 115.54/115.71 (define @t119 () (not @t118)) % 115.54/115.71 (define @t120 () (= @t70 @t86)) % 115.54/115.71 (define @t121 () (not @t120)) % 115.54/115.71 (define @t122 () (not @t87)) % 115.54/115.71 (define @t123 () (or @t98 @t122 @t121)) % 115.54/115.71 (define @t124 () (not (forall @t89 @t123))) % 115.54/115.71 (define @t125 () (not @t71)) % 115.54/115.71 (define @t126 () (forall @t72 (or @t125 @t124))) % 115.54/115.71 (define @t127 () (@quantifiers_skolemize @t126 0)) % 115.54/115.71 (define @t128 () (tptp.subtract tptp.e @t68 @t127)) % 115.54/115.71 (define @t129 () (not (= @t128 @t75))) % 115.54/115.71 (define @t130 () (not (= @t128 @t76))) % 115.54/115.71 (define @t131 () (not (tptp.element @t128 tptp.e))) % 115.54/115.71 (define @t132 () (or @t98 @t131 @t96 @t130 @t129)) % 115.54/115.71 (define @t133 () (forall @t100 @t132)) % 115.54/115.71 (define @t134 () (not @t133)) % 115.54/115.71 (define @t135 () (tptp.element @t127 tptp.e)) % 115.54/115.71 (define @t136 () (not @t135)) % 115.54/115.71 (define @t137 () (or @t136 @t134)) % 115.54/115.71 (define @t138 () (forall @t72 (or @t125 @t101))) % 115.54/115.71 (define @t139 () (forall @t100 (or @t98 @t131 @t96 (not (= @t76 @t128)) (not (= @t75 @t128))))) % 115.54/115.71 (define @t140 () (not @t139)) % 115.54/115.71 (define @t141 () (or @t136 @t140)) % 115.54/115.71 (define @t142 () (@list false)) % 115.54/115.71 (define @t143 () (and @t69 @t87 @t120)) % 115.54/115.71 (define @t144 () (forall @t89 (not @t143))) % 115.54/115.71 (define @t145 () (not @t144)) % 115.54/115.71 (define @t146 () (forall @t89 (or @t98 @t122 (not (= @t86 @t127))))) % 115.54/115.71 (define @t147 () (not @t146)) % 115.54/115.71 (define @t148 () (or @t136 @t147)) % 115.54/115.71 (define @t149 () (not @t148)) % 115.54/115.71 (define @t150 () (not @t126)) % 115.54/115.71 (define @t151 () (not (= @t127 @t86))) % 115.54/115.71 (define @t152 () (or @t98 @t122 @t151)) % 115.54/115.71 (define @t153 () (forall @t89 @t152)) % 115.54/115.71 (define @t154 () (not @t153)) % 115.54/115.71 (define @t155 () (or @t136 @t154)) % 115.54/115.71 (define @t156 () (not @t155)) % 115.54/115.71 (define @t157 () (@list true)) % 115.54/115.71 (define @t158 () (@list @t148)) % 115.54/115.71 (define @t159 () (@list false false)) % 115.54/115.71 (define @t160 () (@quantifiers_skolemize @t139 1)) % 115.54/115.71 (define @t161 () (tptp.apply tptp.alpha @t160)) % 115.54/115.71 (define @t162 () (tptp.apply tptp.g @t161)) % 115.54/115.71 (define @t163 () (@quantifiers_skolemize @t139 0)) % 115.54/115.71 (define @t164 () (tptp.apply tptp.g @t163)) % 115.54/115.71 (define @t165 () (tptp.subtract tptp.e @t164 @t127)) % 115.54/115.71 (define @t166 () (= @t165 @t162)) % 115.54/115.71 (define @t167 () (not @t166)) % 115.54/115.71 (define @t168 () (tptp.apply tptp.gamma (tptp.apply tptp.f @t160))) % 115.54/115.71 (define @t169 () (tptp.element @t160 tptp.a)) % 115.54/115.71 (define @t170 () (not @t169)) % 115.54/115.71 (define @t171 () (not (tptp.element @t165 tptp.e))) % 115.54/115.71 (define @t172 () (tptp.element @t163 tptp.b)) % 115.54/115.71 (define @t173 () (not @t172)) % 115.54/115.71 (define @t174 () (or @t173 @t171 @t170 (not (= @t165 @t168)) @t167)) % 115.54/115.71 (define @t175 () (not @t174)) % 115.54/115.71 (define @t176 () (not (= @t162 @t165))) % 115.54/115.71 (define @t177 () (not (= @t168 @t165))) % 115.54/115.71 (define @t178 () (or @t173 @t171 @t170 @t177 @t176)) % 115.54/115.71 (define @t179 () (not @t178)) % 115.54/115.71 (define @t180 () (@list @t174)) % 115.54/115.71 (define @t181 () (@var "BOUND_VARIABLE_7868" $$unsorted)) % 115.54/115.71 (define @t182 () (@var "BOUND_VARIABLE_7866" $$unsorted)) % 115.54/115.71 (define @t183 () (= (tptp.apply @t5 (tptp.subtract @t3 @t182 @t181)) (tptp.subtract @t1 (tptp.apply @t5 @t182) (tptp.apply @t5 @t181)))) % 115.54/115.71 (define @t184 () (not (tptp.element @t181 @t3))) % 115.54/115.71 (define @t185 () (not (tptp.element @t182 @t3))) % 115.54/115.71 (define @t186 () (not @t13)) % 115.54/115.71 (define @t187 () (or @t185 @t184 @t183)) % 115.54/115.71 (define @t188 () (or @t186 @t187)) % 115.54/115.71 (define @t189 () (forall (@list @t5 @t3 @t1 @t182 @t181) @t188)) % 115.54/115.71 (define @t190 () (@list @t182 @t181)) % 115.54/115.71 (define @t191 () (forall @t190 @t188)) % 115.54/115.71 (define @t192 () (forall @t190 @t187)) % 115.54/115.71 (define @t193 () (or @t186 @t192)) % 115.54/115.71 (define @t194 () (not @t21)) % 115.54/115.71 (define @t195 () (not @t22)) % 115.54/115.71 (define @t196 () (or @t195 @t194 @t60)) % 115.54/115.71 (define @t197 () (forall @t23 @t196)) % 115.54/115.71 (define @t198 () (or @t195 @t194)) % 115.54/115.71 (define @t199 () (not @t55)) % 115.54/115.71 (define @t200 () (@var "BOUND_VARIABLE_7640" $$unsorted)) % 115.54/115.71 (define @t201 () (or (not (tptp.element @t200 @t3)) (tptp.element (tptp.apply @t5 @t200) @t1))) % 115.54/115.71 (define @t202 () (and @t201 @t6)) % 115.54/115.71 (define @t203 () (or @t186 @t202)) % 115.54/115.71 (define @t204 () (forall (@list @t5 @t3 @t1 @t200) @t203)) % 115.54/115.71 (define @t205 () (@list @t200)) % 115.54/115.71 (define @t206 () (forall @t205 @t203)) % 115.54/115.71 (define @t207 () (forall @t205 @t6)) % 115.54/115.71 (define @t208 () (forall @t205 @t201)) % 115.54/115.71 (define @t209 () (and @t208 @t207)) % 115.54/115.71 (define @t210 () (forall @t205 @t202)) % 115.54/115.71 (define @t211 () (or @t186 @t210)) % 115.54/115.71 (define @t212 () (and (forall @t10 (or (not @t9) @t8)) @t6)) % 115.54/115.71 (define @t213 () (tptp.apply tptp.alpha (tptp.zero tptp.a))) % 115.54/115.71 (define @t214 () (tptp.zero tptp.b)) % 115.54/115.71 (define @t215 () (tptp.element @t161 tptp.b)) % 115.54/115.71 (define @t216 () (or @t170 @t215)) % 115.54/115.71 (define @t217 () (and @t216 (= @t213 @t214))) % 115.54/115.71 (define @t218 () (not @t64)) % 115.54/115.71 (define @t219 () (or @t218 @t217)) % 115.54/115.71 (define @t220 () (and @t216 (= @t214 @t213))) % 115.54/115.71 (define @t221 () (or @t218 @t220)) % 115.54/115.71 (define @t222 () (@list @t204)) % 115.54/115.71 (define @t223 () (tptp.apply tptp.g (tptp.subtract tptp.b @t163 @t161))) % 115.54/115.71 (define @t224 () (= @t223 (tptp.subtract tptp.e @t164 @t162))) % 115.54/115.71 (define @t225 () (not @t215)) % 115.54/115.71 (define @t226 () (not @t65)) % 115.54/115.71 (define @t227 () (or @t226 @t173 @t225 @t224)) % 115.54/115.71 (define @t228 () (not (= @t223 @t127))) % 115.54/115.71 (define @t229 () (or @t173 @t225 @t228)) % 115.54/115.71 (define @t230 () (= @t127 @t223)) % 115.54/115.71 (define @t231 () (not @t230)) % 115.54/115.71 (define @t232 () (or @t173 @t225 @t231)) % 115.54/115.71 (define @t233 () (@list false false false)) % 115.54/115.71 (define @t234 () (= @t17 @t57)) % 115.54/115.71 (define @t235 () (tptp.apply tptp.g @t214)) % 115.54/115.71 (define @t236 () (tptp.zero tptp.e)) % 115.54/115.71 (define @t237 () (tptp.element @t164 tptp.e)) % 115.54/115.71 (define @t238 () (or @t173 @t237)) % 115.54/115.71 (define @t239 () (and @t238 (= @t235 @t236))) % 115.54/115.71 (define @t240 () (or @t226 @t239)) % 115.54/115.71 (define @t241 () (and @t238 (= @t236 @t235))) % 115.54/115.71 (define @t242 () (or @t226 @t241)) % 115.54/115.71 (define @t243 () (tptp.subtract tptp.e @t164 @t165)) % 115.54/115.71 (define @t244 () (= @t127 @t243)) % 115.54/115.71 (define @t245 () (not @t237)) % 115.54/115.71 (define @t246 () (or @t245 @t136 @t244)) % 115.54/115.71 (define @t247 () (not @t244)) % 115.54/115.71 (define @t248 () (not @t224)) % 115.54/115.71 (define @t249 () (and @t166 @t224 @t231)) % 115.54/115.71 (assume @p1 @t16) % 115.54/115.71 (assume @p2 (forall @t15 (=> (and @t25 @t13) @t24))) % 115.54/115.71 (assume @p3 (forall @t15 (=> (and @t13 @t24) @t25))) % 115.54/115.71 (assume @p4 (forall @t15 (=> (and @t31 @t13) @t30))) % 115.54/115.71 (assume @p5 (forall @t15 (=> (and @t13 @t30) @t31))) % 115.54/115.71 (assume @p6 (forall @t40 (=> (and @t39 @t38 @t37) @t36))) % 115.54/115.71 (assume @p7 (forall @t40 (=> (and @t38 @t37 @t36) @t39))) % 115.54/115.71 (assume @p8 (forall @t53 (=> (and @t52 @t51 @t50 @t48 @t47) @t45))) % 115.54/115.71 (assume @p9 (forall @t53 (=> (and @t51 @t50 @t48 @t47 @t45) @t52))) % 115.54/115.71 (assume @p10 (forall @t56 (=> @t55 (tptp.element @t54 @t3)))) % 115.54/115.71 (assume @p11 (forall (@list @t3 @t7) (=> @t9 (= (tptp.subtract @t3 @t7 @t7) @t4)))) % 115.54/115.71 (assume @p12 @t59) % 115.54/115.71 (assume @p13 @t63) % 115.54/115.71 (assume @p14 @t64) % 115.54/115.71 (assume @p15 (tptp.morphism tptp.beta tptp.b tptp.c)) % 115.54/115.71 (assume @p16 (tptp.morphism tptp.gamma tptp.d tptp.e)) % 115.54/115.71 (assume @p17 (tptp.morphism tptp.delta tptp.e tptp.r)) % 115.54/115.71 (assume @p18 (tptp.morphism tptp.f tptp.a tptp.d)) % 115.54/115.71 (assume @p19 @t65) % 115.54/115.71 (assume @p20 (tptp.morphism tptp.h tptp.c tptp.r)) % 115.54/115.71 (assume @p21 (tptp.injection tptp.alpha)) % 115.54/115.71 (assume @p22 (tptp.injection tptp.gamma)) % 115.54/115.71 (assume @p23 (tptp.surjection tptp.beta)) % 115.54/115.71 (assume @p24 (tptp.surjection tptp.delta)) % 115.54/115.71 (assume @p25 (tptp.exact tptp.alpha tptp.beta)) % 115.54/115.71 (assume @p26 (tptp.exact tptp.gammma tptp.delta)) % 115.54/115.71 (assume @p27 (tptp.commute tptp.alpha tptp.g tptp.f tptp.gamma)) % 115.54/115.71 (assume @p28 (tptp.commute tptp.beta tptp.h tptp.g tptp.delta)) % 115.54/115.71 (assume @p29 (tptp.surjection tptp.f)) % 115.54/115.71 (assume @p30 (tptp.surjection tptp.h)) % 115.54/115.71 (assume @p31 (forall @t72 (=> @t71 (exists (@list @t66 @t67) (and (tptp.element @t66 tptp.r) (= (tptp.apply tptp.delta @t70) @t66) @t69 (= (tptp.apply tptp.h (tptp.apply tptp.beta @t67)) @t66) (= (tptp.apply tptp.delta @t68) @t66)))))) % 115.54/115.71 (assume @p32 @t84) % 115.54/115.71 (assume @p33 @t93) % 115.54/115.71 (assume @p34 true) % 115.54/115.71 (step @p35 :rule bool-impl-elim :args (@t71 @t101)) % 115.54/115.71 (step @p36 :rule cong :premises (@p35) :args ((forall @t72 (=> @t71 @t101)))) % 115.54/115.71 (step @p37 :rule aci_norm :args ((= (or @t98 @t97 false @t96 @t95 @t94) @t99))) % 115.54/115.71 (step @p38 :rule refl :args (@t94)) % 115.54/115.71 (step @p39 :rule refl :args (@t95)) % 115.54/115.71 (step @p40 :rule refl :args (@t96)) % 115.54/115.71 (step @p41 :rule evaluate :args ((not true))) % 115.54/115.71 (step @p42 :rule eq-refl :args (@t78)) % 115.54/115.71 (step @p43 :rule cong :premises (@p42) :args (@t102)) % 115.54/115.71 (step @p44 :rule trans :premises (@p43 @p41)) % 115.54/115.71 (step @p45 :rule refl :args (@t97)) % 115.54/115.71 (step @p46 :rule refl :args (@t98)) % 115.54/115.71 (step @p47 :rule nary_cong :premises (@p46 @p45 @p44 @p40 @p39 @p38) :args (@t103)) % 115.54/115.71 (step @p48 :rule trans :premises (@p47 @p37)) % 115.54/115.71 (step @p49 :rule cong :premises (@p48) :args ((forall @t100 @t103))) % 115.54/115.71 (step @p50 :rule quant-var-elim-eq :args ((= (forall @t112 @t111) @t103))) % 115.54/115.71 (step @p51 :rule aci_norm :args ((= @t113 @t111))) % 115.54/115.71 (step @p52 :rule cong :premises (@p51) :args (@t114)) % 115.54/115.71 (step @p53 :rule trans :premises (@p52 @p50)) % 115.54/115.71 (step @p54 :rule cong :premises (@p53) :args (@t115)) % 115.54/115.71 (step @p55 :rule quant-merge-prenex :args ((= @t115 @t116))) % 115.54/115.71 (step @p56 :rule symm :premises (@p55)) % 115.54/115.71 (step @p57 :rule quant_var_reordering :args ((= (forall @t81 @t113) @t116))) % 115.54/115.71 (step @p58 :rule trans :premises (@p57 @p56 @p54)) % 115.54/115.71 (step @p59 :rule trans :premises (@p58 @p49)) % 115.54/115.71 (step @p60 :rule aci_norm :args ((= (or @t98 (or @t110 (or @t109 (or @t96 (or @t107 @t105))))) @t113))) % 115.54/115.71 (step @p61 :rule bool-and-de-morgan :args (@t106 @t104 true)) % 115.54/115.71 (step @p62 :rule refl :args (@t96)) % 115.54/115.71 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t96 (not (and @t106 @t104))))) % 115.54/115.71 (step @p64 :rule bool-and-de-morgan :args (@t77 @t106 (and @t104))) % 115.54/115.71 (step @p65 :rule trans :premises (@p64 @p63)) % 115.54/115.71 (step @p66 :rule refl :args (@t109)) % 115.54/115.71 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t109 (not (and @t77 @t106 @t104))))) % 115.54/115.71 (step @p68 :rule bool-and-de-morgan :args (@t108 @t77 (and @t106 @t104))) % 115.54/115.71 (step @p69 :rule trans :premises (@p68 @p67)) % 115.54/115.71 (step @p70 :rule refl :args (@t110)) % 115.54/115.71 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t110 (not (and @t108 @t77 @t106 @t104))))) % 115.54/115.71 (step @p72 :rule bool-and-de-morgan :args (@t79 @t108 (and @t77 @t106 @t104))) % 115.54/115.71 (step @p73 :rule trans :premises (@p72 @p71)) % 115.54/115.71 (step @p74 :rule refl :args (@t98)) % 115.54/115.71 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t98 (not (and @t79 @t108 @t77 @t106 @t104))))) % 115.54/115.71 (step @p76 :rule bool-and-de-morgan :args (@t69 @t79 (and @t108 @t77 @t106 @t104))) % 115.54/115.71 (step @p77 :rule trans :premises (@p76 @p75)) % 115.54/115.71 (step @p78 :rule trans :premises (@p77 @p60)) % 115.54/115.71 (step @p79 :rule cong :premises (@p78) :args (@t118)) % 115.54/115.71 (step @p80 :rule trans :premises (@p79 @p59)) % 115.54/115.71 (step @p81 :rule cong :premises (@p80) :args (@t119)) % 115.54/115.71 (step @p82 :rule exists-elim :args ((= (exists @t81 @t117) @t119))) % 115.54/115.71 (step @p83 :rule trans :premises (@p82 @p81)) % 115.54/115.71 (step @p84 :rule eq-symm :args (@t75 @t73)) % 115.54/115.71 (step @p85 :rule eq-symm :args (@t76 @t73)) % 115.54/115.71 (step @p86 :rule refl :args (@t77)) % 115.54/115.71 (step @p87 :rule eq-symm :args (@t78 @t73)) % 115.54/115.71 (step @p88 :rule refl :args (@t79)) % 115.54/115.71 (step @p89 :rule refl :args (@t69)) % 115.54/115.71 (step @p90 :rule nary_cong :premises (@p89 @p88 @p87 @p86 @p85 @p84) :args (@t80)) % 115.54/115.71 (step @p91 :rule cong :premises (@p90) :args (@t82)) % 115.54/115.71 (step @p92 :rule trans :premises (@p91 @p83)) % 115.54/115.71 (step @p93 :rule refl :args (@t71)) % 115.54/115.71 (step @p94 :rule cong :premises (@p93 @p92) :args (@t83)) % 115.54/115.71 (step @p95 :rule cong :premises (@p94) :args (@t84)) % 115.54/115.71 (step @p96 :rule trans :premises (@p95 @p36)) % 115.54/115.71 (step @p97 :rule eq_resolve :premises (@p32 @p96)) % 115.54/115.71 (step @p98 :rule eq-symm :args (@t128 @t75)) % 115.54/115.71 (step @p99 :rule cong :premises (@p98) :args (@t129)) % 115.54/115.71 (step @p100 :rule eq-symm :args (@t128 @t76)) % 115.54/115.71 (step @p101 :rule cong :premises (@p100) :args (@t130)) % 115.54/115.71 (step @p102 :rule refl :args (@t131)) % 115.54/115.71 (step @p103 :rule nary_cong :premises (@p46 @p102 @p40 @p101 @p99) :args (@t132)) % 115.54/115.71 (step @p104 :rule cong :premises (@p103) :args (@t133)) % 115.54/115.71 (step @p105 :rule cong :premises (@p104) :args (@t134)) % 115.54/115.71 (step @p106 :rule refl :args (@t136)) % 115.54/115.71 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t137)) % 115.54/115.71 (step @p108 :rule refl :args (@t138)) % 115.54/115.71 (step @p109 :rule cong :premises (@p108 @p107) :args ((=> @t138 @t137))) % 115.54/115.71 (assume-push @p377 @t138) % 115.54/115.71 (step @p111 :rule instantiate :premises (@p97) :args ((@list @t127))) % 115.54/115.71 (step-pop @p378 :rule scope :premises (@p111)) % 115.54/115.71 (step @p112 :rule process_scope :premises (@p378) :args (@t137)) % 115.54/115.71 (step @p114 :rule eq_resolve :premises (@p112 @p109)) % 115.54/115.71 (step @p115 :rule implies_elim :premises (@p114)) % 115.54/115.71 (step @p116 :rule chain_m_resolution :premises (@p115 @p97) :args (@t141 @t142 (@list @t138))) % 115.54/115.71 (step @p117 :rule bool-impl-elim :args (@t71 @t124)) % 115.54/115.71 (step @p118 :rule cong :premises (@p117) :args ((forall @t72 (=> @t71 @t124)))) % 115.54/115.71 (step @p119 :rule aci_norm :args ((= (or @t98 (or @t122 @t121)) @t123))) % 115.54/115.71 (step @p120 :rule bool-and-de-morgan :args (@t87 @t120 true)) % 115.54/115.71 (step @p121 :rule nary_cong :premises (@p74 @p120) :args ((or @t98 (not (and @t87 @t120))))) % 115.54/115.71 (step @p122 :rule bool-and-de-morgan :args (@t69 @t87 (and @t120))) % 115.54/115.71 (step @p123 :rule trans :premises (@p122 @p121)) % 115.54/115.71 (step @p124 :rule trans :premises (@p123 @p119)) % 115.54/115.71 (step @p125 :rule cong :premises (@p124) :args (@t144)) % 115.54/115.71 (step @p126 :rule cong :premises (@p125) :args (@t145)) % 115.54/115.71 (step @p127 :rule exists-elim :args ((= (exists @t89 @t143) @t145))) % 115.54/115.71 (step @p128 :rule trans :premises (@p127 @p126)) % 115.54/115.71 (step @p129 :rule eq-symm :args (@t86 @t70)) % 115.54/115.71 (step @p130 :rule refl :args (@t87)) % 115.54/115.71 (step @p131 :rule nary_cong :premises (@p89 @p130 @p129) :args (@t88)) % 115.54/115.71 (step @p132 :rule cong :premises (@p131) :args (@t90)) % 115.54/115.71 (step @p133 :rule trans :premises (@p132 @p128)) % 115.54/115.71 (step @p134 :rule cong :premises (@p93 @p133) :args (@t91)) % 115.54/115.71 (step @p135 :rule cong :premises (@p134) :args (@t92)) % 115.54/115.71 (step @p136 :rule trans :premises (@p135 @p118)) % 115.54/115.71 (step @p137 :rule cong :premises (@p136) :args (@t93)) % 115.54/115.71 (step @p138 :rule eq_resolve :premises (@p33 @p137)) % 115.54/115.71 (step @p139 :rule refl :args (@t149)) % 115.54/115.71 (step @p140 :rule bool-double-not-elim :args (@t126)) % 115.54/115.71 (step @p141 :rule nary_cong :premises (@p140 @p139) :args ((or (not @t150) @t149))) % 115.54/115.71 (step @p142 :rule eq-symm :args (@t127 @t86)) % 115.54/115.71 (step @p143 :rule cong :premises (@p142) :args (@t151)) % 115.54/115.71 (step @p144 :rule refl :args (@t122)) % 115.54/115.71 (step @p145 :rule nary_cong :premises (@p46 @p144 @p143) :args (@t152)) % 115.54/115.71 (step @p146 :rule cong :premises (@p145) :args (@t153)) % 115.54/115.71 (step @p147 :rule cong :premises (@p146) :args (@t154)) % 115.54/115.71 (step @p148 :rule nary_cong :premises (@p106 @p147) :args (@t155)) % 115.54/115.71 (step @p149 :rule cong :premises (@p148) :args (@t156)) % 115.54/115.71 (step @p150 :rule refl :args (@t150)) % 115.54/115.71 (step @p151 :rule cong :premises (@p150 @p149) :args ((=> @t150 @t156))) % 115.54/115.71 (assume-push @p379 @t150) % 115.54/115.71 (step @p153 :rule skolemize :premises (@p138)) % 115.54/115.71 (step-pop @p380 :rule scope :premises (@p153)) % 115.54/115.71 (step @p154 :rule process_scope :premises (@p380) :args (@t156)) % 115.54/115.71 (step @p156 :rule eq_resolve :premises (@p154 @p151)) % 115.54/115.71 (step @p157 :rule implies_elim :premises (@p156)) % 115.54/115.71 (step @p158 :rule eq_resolve :premises (@p157 @p141)) % 115.54/115.71 (step @p159 :rule chain_m_resolution :premises (@p158 @p138) :args (@t149 @t157 (@list @t126))) % 115.54/115.71 (step @p160 :rule bool-double-not-elim :args (@t135)) % 115.54/115.71 (step @p161 :rule refl :args (@t148)) % 115.54/115.71 (step @p162 :rule nary_cong :premises (@p161 @p160) :args ((or @t148 (not @t136)))) % 115.54/115.71 (step @p163 :rule cnf_or_neg :args (@t148 0)) % 115.54/115.71 (step @p164 :rule eq_resolve :premises (@p163 @p162)) % 115.54/115.71 (step @p165 :rule reordering :premises (@p164) :args ((or @t135 @t148))) % 115.54/115.71 (step @p166 :rule chain_m_resolution :premises (@p165 @p159) :args (@t135 @t157 @t158)) % 115.54/115.71 (step @p167 :rule cnf_or_pos :args (@t141)) % 115.54/115.71 (step @p168 :rule reordering :premises (@p167) :args ((or @t136 @t140 (not @t141)))) % 115.54/115.71 (step @p169 :rule chain_m_resolution :premises (@p168 @p166 @p116) :args (@t140 @t159 (@list @t135 @t141))) % 115.54/115.71 (step @p170 :rule refl :args (@t175)) % 115.54/115.71 (step @p171 :rule bool-double-not-elim :args (@t139)) % 115.54/115.71 (step @p172 :rule nary_cong :premises (@p171 @p170) :args ((or (not @t140) @t175))) % 115.54/115.71 (step @p173 :rule eq-symm :args (@t162 @t165)) % 115.54/115.71 (step @p174 :rule cong :premises (@p173) :args (@t176)) % 115.54/115.71 (step @p175 :rule eq-symm :args (@t168 @t165)) % 115.54/115.71 (step @p176 :rule cong :premises (@p175) :args (@t177)) % 115.54/115.71 (step @p177 :rule refl :args (@t170)) % 115.54/115.71 (step @p178 :rule refl :args (@t171)) % 115.54/115.71 (step @p179 :rule refl :args (@t173)) % 115.54/115.71 (step @p180 :rule nary_cong :premises (@p179 @p178 @p177 @p176 @p174) :args (@t178)) % 115.54/115.71 (step @p181 :rule cong :premises (@p180) :args (@t179)) % 115.54/115.71 (step @p182 :rule refl :args (@t140)) % 115.54/115.71 (step @p183 :rule cong :premises (@p182 @p181) :args ((=> @t140 @t179))) % 115.54/115.71 (assume-push @p381 @t140) % 115.54/115.71 (step @p185 :rule skolemize :premises (@p169)) % 115.54/115.71 (step-pop @p382 :rule scope :premises (@p185)) % 115.54/115.71 (step @p186 :rule process_scope :premises (@p382) :args (@t179)) % 115.54/115.71 (step @p188 :rule eq_resolve :premises (@p186 @p183)) % 115.54/115.71 (step @p189 :rule implies_elim :premises (@p188)) % 115.54/115.71 (step @p190 :rule eq_resolve :premises (@p189 @p172)) % 115.54/115.71 (step @p191 :rule chain_m_resolution :premises (@p190 @p169) :args (@t175 @t157 (@list @t139))) % 115.54/115.71 (step @p192 :rule bool-double-not-elim :args (@t166)) % 115.54/115.71 (step @p193 :rule refl :args (@t174)) % 115.54/115.71 (step @p194 :rule nary_cong :premises (@p193 @p192) :args ((or @t174 (not @t167)))) % 115.54/115.71 (step @p195 :rule cnf_or_neg :args (@t174 4)) % 115.54/115.71 (step @p196 :rule eq_resolve :premises (@p195 @p194)) % 115.54/115.71 (step @p197 :rule reordering :premises (@p196) :args ((or @t166 @t174))) % 115.54/115.71 (step @p198 :rule chain_m_resolution :premises (@p197 @p191) :args (@t166 @t157 @t180)) % 115.54/115.71 (step @p199 :rule aci_norm :args ((= @t188 (or @t186 @t185 @t184 @t183)))) % 115.54/115.71 (step @p200 :rule cong :premises (@p199) :args (@t189)) % 115.54/115.71 (step @p201 :rule quant-merge-prenex :args ((= (forall @t15 @t191) @t189))) % 115.54/115.71 (step @p202 :rule alpha_equiv :args (@t192 (@list @t182 @t181) (@list @t18 @t17))) % 115.54/115.71 (step @p203 :rule refl :args (@t186)) % 115.54/115.71 (step @p204 :rule nary_cong :premises (@p203 @p202) :args (@t193)) % 115.54/115.71 (step @p205 :rule quant-miniscope-or :args ((= @t191 @t193))) % 115.54/115.71 (step @p206 :rule trans :premises (@p205 @p204)) % 115.54/115.71 (step @p207 :rule symm :premises (@p206)) % 115.54/115.71 (step @p208 :rule cong :premises (@p207) :args ((forall @t15 (or @t186 @t197)))) % 115.54/115.71 (step @p209 :rule trans :premises (@p208 @p201)) % 115.54/115.71 (step @p210 :rule trans :premises (@p209 @p200)) % 115.54/115.71 (step @p211 :rule bool-impl-elim :args (@t13 @t197)) % 115.54/115.71 (step @p212 :rule cong :premises (@p211) :args ((forall @t15 (=> @t13 @t197)))) % 115.54/115.71 (step @p213 :rule trans :premises (@p212 @p210)) % 115.54/115.71 (step @p214 :rule aci_norm :args ((= (or @t198 @t60) @t196))) % 115.54/115.71 (step @p215 :rule refl :args (@t60)) % 115.54/115.71 (step @p216 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 115.54/115.71 (step @p217 :rule nary_cong :premises (@p216 @p215) :args ((or @t199 @t60))) % 115.54/115.71 (step @p218 :rule trans :premises (@p217 @p214)) % 115.54/115.71 (step @p219 :rule bool-impl-elim :args (@t55 @t60)) % 115.54/115.71 (step @p220 :rule trans :premises (@p219 @p218)) % 115.54/115.71 (step @p221 :rule cong :premises (@p220) :args (@t61)) % 115.54/115.71 (step @p222 :rule refl :args (@t13)) % 115.54/115.71 (step @p223 :rule cong :premises (@p222 @p221) :args (@t62)) % 115.54/115.71 (step @p224 :rule cong :premises (@p223) :args (@t63)) % 115.54/115.71 (step @p225 :rule trans :premises (@p224 @p213)) % 115.54/115.71 (step @p226 :rule eq_resolve :premises (@p13 @p225)) % 115.54/115.71 (step @p227 :rule instantiate :premises (@p226) :args ((@list tptp.g tptp.b tptp.e @t163 @t161))) % 115.54/115.71 (step @p228 :rule quant-merge-prenex :args ((= (forall @t15 @t206) @t204))) % 115.54/115.71 (step @p229 :rule quant-unused-vars :args ((= @t207 @t6))) % 115.54/115.71 (step @p230 :rule alpha_equiv :args (@t208 (@list @t200) (@list @t7))) % 115.54/115.71 (step @p231 :rule nary_cong :premises (@p230 @p229) :args (@t209)) % 115.54/115.71 (step @p232 :rule quant-miniscope-and :args ((= @t210 @t209))) % 115.54/115.71 (step @p233 :rule trans :premises (@p232 @p231)) % 115.54/115.71 (step @p234 :rule nary_cong :premises (@p203 @p233) :args (@t211)) % 115.54/115.71 (step @p235 :rule quant-miniscope-or :args ((= @t206 @t211))) % 115.54/115.71 (step @p236 :rule trans :premises (@p235 @p234)) % 115.54/115.71 (step @p237 :rule symm :premises (@p236)) % 115.54/115.71 (step @p238 :rule cong :premises (@p237) :args ((forall @t15 (or @t186 @t212)))) % 115.54/115.71 (step @p239 :rule trans :premises (@p238 @p228)) % 115.54/115.71 (step @p240 :rule bool-impl-elim :args (@t13 @t212)) % 115.54/115.71 (step @p241 :rule cong :premises (@p240) :args ((forall @t15 (=> @t13 @t212)))) % 115.54/115.71 (step @p242 :rule trans :premises (@p241 @p239)) % 115.54/115.71 (step @p243 :rule refl :args (@t6)) % 115.54/115.71 (step @p244 :rule bool-impl-elim :args (@t9 @t8)) % 115.54/115.71 (step @p245 :rule cong :premises (@p244) :args (@t11)) % 115.54/115.71 (step @p246 :rule nary_cong :premises (@p245 @p243) :args (@t12)) % 115.54/115.71 (step @p247 :rule cong :premises (@p222 @p246) :args (@t14)) % 115.54/115.71 (step @p248 :rule cong :premises (@p247) :args (@t16)) % 115.54/115.71 (step @p249 :rule trans :premises (@p248 @p242)) % 115.54/115.71 (step @p250 :rule eq_resolve :premises (@p1 @p249)) % 115.54/115.71 (step @p251 :rule eq-symm :args (@t213 @t214)) % 115.54/115.71 (step @p252 :rule refl :args (@t216)) % 115.54/115.71 (step @p253 :rule nary_cong :premises (@p252 @p251) :args (@t217)) % 115.54/115.71 (step @p254 :rule refl :args (@t218)) % 115.54/115.71 (step @p255 :rule nary_cong :premises (@p254 @p253) :args (@t219)) % 115.54/115.71 (step @p256 :rule refl :args (@t204)) % 115.54/115.71 (step @p257 :rule cong :premises (@p256 @p255) :args ((=> @t204 @t219))) % 115.54/115.71 (assume-push @p383 @t204) % 115.54/115.71 (step @p259 :rule instantiate :premises (@p250) :args ((@list tptp.alpha tptp.a tptp.b @t160))) % 115.54/115.71 (step-pop @p384 :rule scope :premises (@p259)) % 115.54/115.71 (step @p260 :rule process_scope :premises (@p384) :args (@t219)) % 115.54/115.71 (step @p262 :rule eq_resolve :premises (@p260 @p257)) % 115.54/115.71 (step @p263 :rule implies_elim :premises (@p262)) % 115.54/115.71 (step @p264 :rule chain_m_resolution :premises (@p263 @p250) :args (@t221 @t142 @t222)) % 115.54/115.71 (step @p265 :rule cnf_or_pos :args (@t221)) % 115.54/115.71 (step @p266 :rule reordering :premises (@p265) :args ((or @t218 @t220 (not @t221)))) % 115.54/115.71 (step @p267 :rule chain_m_resolution :premises (@p266 @p14 @p264) :args (@t220 @t159 (@list @t64 @t221))) % 115.54/115.71 (step @p268 :rule cnf_and_pos :args (@t220 0)) % 115.54/115.71 (step @p269 :rule reordering :premises (@p268) :args ((or @t216 (not @t220)))) % 115.54/115.71 (step @p270 :rule chain_m_resolution :premises (@p269 @p267) :args (@t216 @t142 (@list @t220))) % 115.54/115.71 (step @p271 :rule bool-double-not-elim :args (@t169)) % 115.54/115.71 (step @p272 :rule nary_cong :premises (@p193 @p271) :args ((or @t174 (not @t170)))) % 115.54/115.71 (step @p273 :rule cnf_or_neg :args (@t174 2)) % 115.54/115.71 (step @p274 :rule eq_resolve :premises (@p273 @p272)) % 115.54/115.71 (step @p275 :rule reordering :premises (@p274) :args ((or @t169 @t174))) % 115.54/115.71 (step @p276 :rule chain_m_resolution :premises (@p275 @p191) :args (@t169 @t157 @t180)) % 115.54/115.71 (step @p277 :rule cnf_or_pos :args (@t216)) % 115.54/115.71 (step @p278 :rule reordering :premises (@p277) :args ((or @t170 @t215 (not @t216)))) % 115.54/115.71 (step @p279 :rule chain_m_resolution :premises (@p278 @p276 @p270) :args (@t215 @t159 (@list @t169 @t216))) % 115.54/115.71 (step @p280 :rule bool-double-not-elim :args (@t172)) % 115.54/115.71 (step @p281 :rule nary_cong :premises (@p193 @p280) :args ((or @t174 (not @t173)))) % 115.54/115.71 (step @p282 :rule cnf_or_neg :args (@t174 0)) % 115.54/115.71 (step @p283 :rule eq_resolve :premises (@p282 @p281)) % 115.54/115.71 (step @p284 :rule reordering :premises (@p283) :args ((or @t172 @t174))) % 115.54/115.71 (step @p285 :rule chain_m_resolution :premises (@p284 @p191) :args (@t172 @t157 @t180)) % 115.54/115.71 (step @p286 :rule cnf_or_pos :args (@t227)) % 115.54/115.71 (step @p287 :rule reordering :premises (@p286) :args ((or @t226 @t173 @t225 @t224 (not @t227)))) % 115.54/115.71 (step @p288 :rule chain_m_resolution :premises (@p287 @p19 @p285 @p279 @p227) :args (@t224 (@list false false false false) (@list @t65 @t172 @t215 @t227))) % 115.54/115.71 (step @p289 :rule bool-double-not-elim :args (@t146)) % 115.54/115.71 (step @p290 :rule nary_cong :premises (@p161 @p289) :args ((or @t148 (not @t147)))) % 115.54/115.71 (step @p291 :rule cnf_or_neg :args (@t148 1)) % 115.54/115.71 (step @p292 :rule eq_resolve :premises (@p291 @p290)) % 115.54/115.71 (step @p293 :rule reordering :premises (@p292) :args ((or @t146 @t148))) % 115.54/115.71 (step @p294 :rule chain_m_resolution :premises (@p293 @p159) :args (@t146 @t157 @t158)) % 115.54/115.71 (step @p295 :rule eq-symm :args (@t223 @t127)) % 115.54/115.71 (step @p296 :rule cong :premises (@p295) :args (@t228)) % 115.54/115.71 (step @p297 :rule refl :args (@t225)) % 115.54/115.71 (step @p298 :rule nary_cong :premises (@p179 @p297 @p296) :args (@t229)) % 115.54/115.71 (step @p299 :rule refl :args (@t146)) % 115.54/115.71 (step @p300 :rule cong :premises (@p299 @p298) :args ((=> @t146 @t229))) % 115.54/115.71 (assume-push @p385 @t146) % 115.54/115.71 (step @p302 :rule instantiate :premises (@p294) :args ((@list @t163 @t161))) % 115.54/115.71 (step-pop @p386 :rule scope :premises (@p302)) % 115.54/115.71 (step @p303 :rule process_scope :premises (@p386) :args (@t229)) % 115.54/115.71 (step @p305 :rule eq_resolve :premises (@p303 @p300)) % 115.54/115.71 (step @p306 :rule implies_elim :premises (@p305)) % 115.54/115.71 (step @p307 :rule chain_m_resolution :premises (@p306 @p294) :args (@t232 @t142 (@list @t146))) % 115.54/115.71 (step @p308 :rule cnf_or_pos :args (@t232)) % 115.54/115.71 (step @p309 :rule reordering :premises (@p308) :args ((or @t173 @t225 @t231 (not @t232)))) % 115.54/115.71 (step @p310 :rule chain_m_resolution :premises (@p309 @p285 @p279 @p307) :args (@t231 @t233 (@list @t172 @t215 @t232))) % 115.54/115.71 (step @p311 :rule aci_norm :args ((= (or @t198 @t234) (or @t195 @t194 @t234)))) % 115.54/115.71 (step @p312 :rule refl :args (@t234)) % 115.54/115.71 (step @p313 :rule nary_cong :premises (@p216 @p312) :args ((or @t199 @t234))) % 115.54/115.71 (step @p314 :rule trans :premises (@p313 @p311)) % 115.54/115.71 (step @p315 :rule bool-impl-elim :args (@t55 @t234)) % 115.54/115.71 (step @p316 :rule trans :premises (@p315 @p314)) % 115.54/115.71 (step @p317 :rule cong :premises (@p316) :args ((forall @t56 (=> @t55 @t234)))) % 115.54/115.71 (step @p318 :rule eq-symm :args (@t57 @t17)) % 115.54/115.71 (step @p319 :rule refl :args (@t55)) % 115.54/115.71 (step @p320 :rule cong :premises (@p319 @p318) :args (@t58)) % 115.54/115.71 (step @p321 :rule cong :premises (@p320) :args (@t59)) % 115.54/115.71 (step @p322 :rule trans :premises (@p321 @p317)) % 115.54/115.71 (step @p323 :rule eq_resolve :premises (@p12 @p322)) % 115.54/115.71 (step @p324 :rule instantiate :premises (@p323) :args ((@list tptp.e @t164 @t127))) % 115.54/115.71 (step @p325 :rule eq-symm :args (@t235 @t236)) % 115.54/115.71 (step @p326 :rule refl :args (@t238)) % 115.54/115.71 (step @p327 :rule nary_cong :premises (@p326 @p325) :args (@t239)) % 115.54/115.71 (step @p328 :rule refl :args (@t226)) % 115.54/115.71 (step @p329 :rule nary_cong :premises (@p328 @p327) :args (@t240)) % 115.54/115.71 (step @p330 :rule cong :premises (@p256 @p329) :args ((=> @t204 @t240))) % 115.54/115.71 (assume-push @p387 @t204) % 115.54/115.71 (step @p332 :rule instantiate :premises (@p250) :args ((@list tptp.g tptp.b tptp.e @t163))) % 115.54/115.71 (step-pop @p388 :rule scope :premises (@p332)) % 115.54/115.71 (step @p333 :rule process_scope :premises (@p388) :args (@t240)) % 115.54/115.71 (step @p335 :rule eq_resolve :premises (@p333 @p330)) % 115.54/115.71 (step @p336 :rule implies_elim :premises (@p335)) % 115.54/115.71 (step @p337 :rule chain_m_resolution :premises (@p336 @p250) :args (@t242 @t142 @t222)) % 115.54/115.71 (step @p338 :rule cnf_or_pos :args (@t242)) % 115.54/115.71 (step @p339 :rule reordering :premises (@p338) :args ((or @t226 @t241 (not @t242)))) % 115.54/115.71 (step @p340 :rule chain_m_resolution :premises (@p339 @p19 @p337) :args (@t241 @t159 (@list @t65 @t242))) % 115.54/115.71 (step @p341 :rule cnf_and_pos :args (@t241 0)) % 115.54/115.71 (step @p342 :rule reordering :premises (@p341) :args ((or @t238 (not @t241)))) % 115.54/115.71 (step @p343 :rule chain_m_resolution :premises (@p342 @p340) :args (@t238 @t142 (@list @t241))) % 115.54/115.71 (step @p344 :rule cnf_or_pos :args (@t238)) % 115.54/115.71 (step @p345 :rule reordering :premises (@p344) :args ((or @t173 @t237 (not @t238)))) % 115.54/115.71 (step @p346 :rule chain_m_resolution :premises (@p345 @p285 @p343) :args (@t237 @t159 (@list @t172 @t238))) % 115.54/115.72 (step @p347 :rule cnf_or_pos :args (@t246)) % 115.54/115.72 (step @p348 :rule reordering :premises (@p347) :args ((or @t136 @t245 @t244 (not @t246)))) % 115.54/115.72 (step @p349 :rule chain_m_resolution :premises (@p348 @p166 @p346 @p324) :args (@t244 @t233 (@list @t135 @t237 @t246))) % 115.54/115.72 (step @p350 :rule refl :args (@t247)) % 115.54/115.72 (step @p351 :rule bool-double-not-elim :args (@t230)) % 115.54/115.72 (step @p352 :rule refl :args (@t248)) % 115.54/115.72 (step @p353 :rule refl :args (@t167)) % 115.54/115.72 (step @p354 :rule nary_cong :premises (@p353 @p352 @p351 @p350) :args ((or @t167 @t248 (not @t231) @t247))) % 115.54/115.72 (assume-push @p389 @t166) % 115.54/115.72 (assume-push @p390 @t224) % 115.54/115.72 (assume-push @p391 @t231) % 115.54/115.72 (step @p358 :rule false_intro :premises (@p310)) % 115.54/115.72 (step @p359 :rule symm :premises (@p288)) % 115.54/115.72 (step @p360 :rule refl :args (@t164)) % 115.54/115.72 (step @p361 :rule refl :args (tptp.e)) % 115.54/115.72 (step @p362 :rule cong :premises (@p361 @p360 @p198) :args (@t243)) % 115.54/115.72 (step @p363 :rule trans :premises (@p362 @p359)) % 115.54/115.72 (step @p364 :rule refl :args (@t127)) % 115.54/115.72 (step @p365 :rule cong :premises (@p364 @p363) :args (@t244)) % 115.54/115.72 (step @p366 :rule trans :premises (@p365 @p358)) % 115.54/115.72 (step @p367 :rule false_elim :premises (@p366)) % 115.54/115.72 (step-pop @p392 :rule scope :premises (@p367)) % 115.54/115.72 (step-pop @p393 :rule scope :premises (@p392)) % 115.54/115.72 (step-pop @p394 :rule scope :premises (@p393)) % 115.54/115.72 (step @p368 :rule process_scope :premises (@p394) :args (@t247)) % 115.54/115.72 (step @p372 :rule implies_elim :premises (@p368)) % 115.54/115.72 (step @p373 :rule cnf_and_neg :args (@t249)) % 115.54/115.72 (step @p374 :rule resolution :premises (@p373 @p372) :args (true @t249)) % 115.54/115.72 (step @p375 :rule eq_resolve :premises (@p374 @p354)) % 115.54/115.72 (step @p376 false :rule chain_m_resolution :premises (@p375 @p349 @p310 @p288 @p198) :args (false (@list false true false false) (@list @t244 @t230 @t224 @t166))) % 115.54/115.72 ) % 115.54/115.72 % SZS output end Proof % 115.54/115.73 % cvc5 exiting %------------------------------------------------------------------------------