%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HAL004+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 : n021.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 37.44s 37.64s % Output : Proof 37.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HAL004+1 : TPTP v9.2.1. Released v2.6.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n021.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 02:14:20 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 37.44/37.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 37.44/37.64 --- Run --no-e-matching --full-saturate-quant at 6... % 37.44/37.64 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 37.44/37.64 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 37.44/37.64 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 37.44/37.64 % SZS status Theorem % 37.44/37.64 % SZS output start Proof % 37.44/37.64 ( % 37.44/37.64 (declare-sort $$unsorted 0) % 37.44/37.64 (declare-const tptp.gammma $$unsorted) % 37.44/37.64 (declare-const tptp.h $$unsorted) % 37.44/37.64 (declare-const tptp.g $$unsorted) % 37.44/37.64 (declare-const tptp.f $$unsorted) % 37.44/37.64 (declare-const tptp.r $$unsorted) % 37.44/37.64 (declare-const tptp.beta $$unsorted) % 37.44/37.64 (declare-const tptp.zero (-> $$unsorted $$unsorted)) % 37.44/37.64 (declare-const tptp.delta $$unsorted) % 37.44/37.64 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 37.44/37.64 (declare-const tptp.e $$unsorted) % 37.44/37.64 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 37.44/37.64 (declare-const tptp.gamma $$unsorted) % 37.44/37.64 (declare-const tptp.morphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 37.44/37.64 (declare-const tptp.injection (-> $$unsorted Bool)) % 37.44/37.64 (declare-const tptp.alpha $$unsorted) % 37.44/37.64 (declare-const tptp.surjection (-> $$unsorted Bool)) % 37.44/37.64 (declare-const tptp.exact (-> $$unsorted $$unsorted Bool)) % 37.44/37.64 (declare-const tptp.a $$unsorted) % 37.44/37.64 (declare-const tptp.d $$unsorted) % 37.44/37.64 (declare-const tptp.commute (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 37.44/37.64 (declare-const tptp.b $$unsorted) % 37.44/37.64 (declare-const tptp.subtract (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.44/37.64 (declare-const tptp.c $$unsorted) % 37.44/37.64 (define @t1 () (@var "Cod" $$unsorted)) % 37.44/37.64 (define @t2 () (tptp.zero @t1)) % 37.44/37.64 (define @t3 () (@var "Dom" $$unsorted)) % 37.44/37.64 (define @t4 () (tptp.zero @t3)) % 37.44/37.64 (define @t5 () (@var "Morphism" $$unsorted)) % 37.44/37.64 (define @t6 () (= (tptp.apply @t5 @t4) @t2)) % 37.44/37.64 (define @t7 () (@var "El" $$unsorted)) % 37.44/37.64 (define @t8 () (tptp.element (tptp.apply @t5 @t7) @t1)) % 37.44/37.64 (define @t9 () (tptp.element @t7 @t3)) % 37.44/37.64 (define @t10 () (@list @t7)) % 37.44/37.64 (define @t11 () (forall @t10 (=> @t9 @t8))) % 37.44/37.64 (define @t12 () (and @t11 @t6)) % 37.44/37.64 (define @t13 () (tptp.morphism @t5 @t3 @t1)) % 37.44/37.64 (define @t14 () (=> @t13 @t12)) % 37.44/37.64 (define @t15 () (@list @t5 @t3 @t1)) % 37.44/37.64 (define @t16 () (forall @t15 @t14)) % 37.44/37.64 (define @t17 () (@var "El2" $$unsorted)) % 37.44/37.64 (define @t18 () (@var "El1" $$unsorted)) % 37.44/37.64 (define @t19 () (tptp.apply @t5 @t17)) % 37.44/37.64 (define @t20 () (tptp.apply @t5 @t18)) % 37.44/37.64 (define @t21 () (tptp.element @t17 @t3)) % 37.44/37.64 (define @t22 () (tptp.element @t18 @t3)) % 37.44/37.64 (define @t23 () (@list @t18 @t17)) % 37.44/37.64 (define @t24 () (forall @t23 (=> (and @t22 @t21 (= @t20 @t19)) (= @t18 @t17)))) % 37.44/37.64 (define @t25 () (tptp.injection @t5)) % 37.44/37.64 (define @t26 () (@var "ElCod" $$unsorted)) % 37.44/37.64 (define @t27 () (@var "ElDom" $$unsorted)) % 37.44/37.64 (define @t28 () (tptp.apply @t5 @t27)) % 37.44/37.64 (define @t29 () (tptp.element @t27 @t3)) % 37.44/37.64 (define @t30 () (and @t29 (= @t28 @t26))) % 37.44/37.64 (define @t31 () (@list @t27)) % 37.44/37.64 (define @t32 () (exists @t31 @t30)) % 37.44/37.64 (define @t33 () (tptp.element @t26 @t1)) % 37.44/37.64 (define @t34 () (=> @t33 @t32)) % 37.44/37.64 (define @t35 () (@list @t26)) % 37.44/37.64 (define @t36 () (forall @t35 @t34)) % 37.44/37.64 (define @t37 () (tptp.surjection @t5)) % 37.44/37.64 (define @t38 () (and @t37 @t13)) % 37.44/37.64 (define @t39 () (=> @t38 @t36)) % 37.44/37.64 (define @t40 () (forall @t15 @t39)) % 37.44/37.64 (define @t41 () (@var "ElCodDom" $$unsorted)) % 37.44/37.64 (define @t42 () (@var "Morphism1" $$unsorted)) % 37.44/37.64 (define @t43 () (@var "Morphism2" $$unsorted)) % 37.44/37.64 (define @t44 () (@var "CodDom" $$unsorted)) % 37.44/37.64 (define @t45 () (forall (@list @t41) (= (and (tptp.element @t41 @t44) (= (tptp.apply @t43 @t41) @t2)) (exists @t31 (and @t29 (= (tptp.apply @t42 @t27) @t41)))))) % 37.44/37.64 (define @t46 () (tptp.morphism @t43 @t44 @t1)) % 37.44/37.64 (define @t47 () (tptp.morphism @t42 @t3 @t44)) % 37.44/37.64 (define @t48 () (tptp.exact @t42 @t43)) % 37.44/37.64 (define @t49 () (@list @t42 @t43 @t3 @t44 @t1)) % 37.44/37.64 (define @t50 () (@var "M3" $$unsorted)) % 37.44/37.64 (define @t51 () (@var "M4" $$unsorted)) % 37.44/37.64 (define @t52 () (@var "M1" $$unsorted)) % 37.44/37.64 (define @t53 () (@var "M2" $$unsorted)) % 37.44/37.64 (define @t54 () (= (tptp.apply @t53 (tptp.apply @t52 @t27)) (tptp.apply @t51 (tptp.apply @t50 @t27)))) % 37.44/37.64 (define @t55 () (forall @t31 (=> @t29 @t54))) % 37.44/37.64 (define @t56 () (@var "DomCod2" $$unsorted)) % 37.44/37.64 (define @t57 () (tptp.morphism @t51 @t56 @t1)) % 37.44/37.64 (define @t58 () (tptp.morphism @t50 @t3 @t56)) % 37.44/37.64 (define @t59 () (@var "DomCod1" $$unsorted)) % 37.44/37.64 (define @t60 () (tptp.morphism @t53 @t59 @t1)) % 37.44/37.64 (define @t61 () (tptp.morphism @t52 @t3 @t59)) % 37.44/37.64 (define @t62 () (tptp.commute @t52 @t53 @t50 @t51)) % 37.44/37.64 (define @t63 () (and @t62 @t61 @t60 @t58 @t57)) % 37.44/37.64 (define @t64 () (=> @t63 @t55)) % 37.44/37.64 (define @t65 () (@list @t52 @t53 @t50 @t51 @t3 @t59 @t56 @t1)) % 37.44/37.64 (define @t66 () (forall @t65 @t64)) % 37.44/37.64 (define @t67 () (tptp.subtract @t3 @t18 @t17)) % 37.44/37.64 (define @t68 () (and @t22 @t21)) % 37.44/37.64 (define @t69 () (@list @t3 @t18 @t17)) % 37.44/37.64 (define @t70 () (tptp.morphism tptp.beta tptp.b tptp.c)) % 37.44/37.64 (define @t71 () (tptp.morphism tptp.delta tptp.e tptp.r)) % 37.44/37.64 (define @t72 () (tptp.morphism tptp.g tptp.b tptp.e)) % 37.44/37.64 (define @t73 () (tptp.morphism tptp.h tptp.c tptp.r)) % 37.44/37.64 (define @t74 () (tptp.surjection tptp.beta)) % 37.44/37.64 (define @t75 () (tptp.commute tptp.beta tptp.h tptp.g tptp.delta)) % 37.44/37.64 (define @t76 () (tptp.surjection tptp.h)) % 37.44/37.64 (define @t77 () (@var "R" $$unsorted)) % 37.44/37.64 (define @t78 () (@var "B1" $$unsorted)) % 37.44/37.64 (define @t79 () (tptp.apply tptp.delta (tptp.apply tptp.g @t78))) % 37.44/37.64 (define @t80 () (tptp.apply tptp.h (tptp.apply tptp.beta @t78))) % 37.44/37.64 (define @t81 () (tptp.element @t78 tptp.b)) % 37.44/37.64 (define @t82 () (@var "E" $$unsorted)) % 37.44/37.64 (define @t83 () (tptp.apply tptp.delta @t82)) % 37.44/37.64 (define @t84 () (tptp.element @t77 tptp.r)) % 37.44/37.64 (define @t85 () (and @t84 (= @t83 @t77) @t81 (= @t80 @t77) (= @t79 @t77))) % 37.44/37.64 (define @t86 () (@list @t77 @t78)) % 37.44/37.64 (define @t87 () (exists @t86 @t85)) % 37.44/37.64 (define @t88 () (tptp.element @t82 tptp.e)) % 37.44/37.64 (define @t89 () (=> @t88 @t87)) % 37.44/37.64 (define @t90 () (@list @t82)) % 37.44/37.64 (define @t91 () (forall @t90 @t89)) % 37.44/37.64 (define @t92 () (not @t91)) % 37.44/37.64 (define @t93 () (@var "BOUND_VARIABLE_7691" $$unsorted)) % 37.44/37.64 (define @t94 () (not (= @t93 @t28))) % 37.44/37.64 (define @t95 () (not @t29)) % 37.44/37.64 (define @t96 () (or @t95 @t94)) % 37.44/37.64 (define @t97 () (forall @t31 @t96)) % 37.44/37.64 (define @t98 () (not @t97)) % 37.44/37.64 (define @t99 () (not (tptp.element @t93 @t1))) % 37.44/37.64 (define @t100 () (not @t13)) % 37.44/37.64 (define @t101 () (not @t37)) % 37.44/37.64 (define @t102 () (or @t101 @t100 @t99 @t98)) % 37.44/37.64 (define @t103 () (or @t99 @t98)) % 37.44/37.64 (define @t104 () (or @t101 @t100 @t103)) % 37.44/37.64 (define @t105 () (@list @t5 @t3 @t1 @t93)) % 37.44/37.64 (define @t106 () (forall @t105 @t104)) % 37.44/37.64 (define @t107 () (@list @t93)) % 37.44/37.64 (define @t108 () (forall @t107 @t104)) % 37.44/37.64 (define @t109 () (forall @t107 @t103)) % 37.44/37.64 (define @t110 () (or @t101 @t100 @t109)) % 37.44/37.64 (define @t111 () (= @t26 @t28)) % 37.44/37.64 (define @t112 () (not (forall @t31 (or @t95 (not @t111))))) % 37.44/37.64 (define @t113 () (forall @t35 (or (not @t33) @t112))) % 37.44/37.64 (define @t114 () (or @t101 @t100 @t113)) % 37.44/37.64 (define @t115 () (and @t29 @t111)) % 37.44/37.64 (define @t116 () (forall @t31 (not @t115))) % 37.44/37.64 (define @t117 () (not @t116)) % 37.44/37.64 (define @t118 () (tptp.apply tptp.h @t27)) % 37.44/37.64 (define @t119 () (not (= @t83 @t79))) % 37.44/37.64 (define @t120 () (not (= @t83 @t80))) % 37.44/37.64 (define @t121 () (not @t81)) % 37.44/37.64 (define @t122 () (or @t121 @t120 @t119)) % 37.44/37.64 (define @t123 () (@list @t78)) % 37.44/37.64 (define @t124 () (forall @t123 @t122)) % 37.44/37.64 (define @t125 () (not @t124)) % 37.44/37.64 (define @t126 () (tptp.element @t83 tptp.r)) % 37.44/37.64 (define @t127 () (not @t88)) % 37.44/37.64 (define @t128 () (forall @t90 (or @t127 (and @t126 @t125)))) % 37.44/37.64 (define @t129 () (@quantifiers_skolemize @t128 0)) % 37.44/37.64 (define @t130 () (tptp.apply tptp.delta @t129)) % 37.44/37.64 (define @t131 () (not (tptp.element @t27 tptp.c))) % 37.44/37.64 (define @t132 () (forall @t31 (or @t131 (not (= @t130 @t118))))) % 37.44/37.64 (define @t133 () (@quantifiers_skolemize @t132 0)) % 37.44/37.64 (define @t134 () (not (= @t118 @t130))) % 37.44/37.64 (define @t135 () (or @t131 @t134)) % 37.44/37.64 (define @t136 () (forall @t31 @t135)) % 37.44/37.64 (define @t137 () (not @t136)) % 37.44/37.64 (define @t138 () (tptp.element @t130 tptp.r)) % 37.44/37.64 (define @t139 () (not @t138)) % 37.44/37.64 (define @t140 () (not @t73)) % 37.44/37.64 (define @t141 () (not @t76)) % 37.44/37.64 (define @t142 () (or @t141 @t140 @t139 @t137)) % 37.44/37.64 (define @t143 () (forall @t105 (or @t101 @t100 @t99 (not (forall @t31 (or @t95 (not (= @t28 @t93)))))))) % 37.44/37.64 (define @t144 () (not @t132)) % 37.44/37.64 (define @t145 () (or @t141 @t140 @t139 @t144)) % 37.44/37.64 (define @t146 () (@list false)) % 37.44/37.64 (define @t147 () (@var "BOUND_VARIABLE_7613" $$unsorted)) % 37.44/37.64 (define @t148 () (or (not (tptp.element @t147 @t3)) (tptp.element (tptp.apply @t5 @t147) @t1))) % 37.44/37.64 (define @t149 () (and @t148 @t6)) % 37.44/37.64 (define @t150 () (or @t100 @t149)) % 37.44/37.64 (define @t151 () (@list @t147)) % 37.44/37.64 (define @t152 () (forall @t151 @t150)) % 37.44/37.64 (define @t153 () (forall @t151 @t6)) % 37.44/37.64 (define @t154 () (forall @t151 @t148)) % 37.44/37.64 (define @t155 () (and @t154 @t153)) % 37.44/37.64 (define @t156 () (forall @t151 @t149)) % 37.44/37.64 (define @t157 () (or @t100 @t156)) % 37.44/37.64 (define @t158 () (and (forall @t10 (or (not @t9) @t8)) @t6)) % 37.44/37.64 (define @t159 () (tptp.element @t129 tptp.e)) % 37.44/37.64 (define @t160 () (not @t159)) % 37.44/37.64 (define @t161 () (or @t160 @t138)) % 37.44/37.64 (define @t162 () (and @t161 (= (tptp.apply tptp.delta (tptp.zero tptp.e)) (tptp.zero tptp.r)))) % 37.44/37.64 (define @t163 () (not @t71)) % 37.44/37.64 (define @t164 () (or @t163 @t162)) % 37.44/37.64 (define @t165 () (@list false false)) % 37.44/37.64 (define @t166 () (not @t126)) % 37.44/37.64 (define @t167 () (or @t166 @t124)) % 37.44/37.64 (define @t168 () (not @t167)) % 37.44/37.64 (define @t169 () (or @t166 @t122)) % 37.44/37.64 (define @t170 () (or @t166 @t121 @t120 @t119)) % 37.44/37.64 (define @t171 () (not (= @t83 @t83))) % 37.44/37.64 (define @t172 () (or @t166 @t171 @t121 @t120 @t119)) % 37.44/37.64 (define @t173 () (= @t77 @t79)) % 37.44/37.64 (define @t174 () (not @t173)) % 37.44/37.64 (define @t175 () (= @t77 @t80)) % 37.44/37.64 (define @t176 () (not @t175)) % 37.44/37.64 (define @t177 () (= @t77 @t83)) % 37.44/37.64 (define @t178 () (not @t177)) % 37.44/37.64 (define @t179 () (not @t84)) % 37.44/37.64 (define @t180 () (or @t178 @t179 @t178 @t121 @t176 @t174)) % 37.44/37.64 (define @t181 () (@list @t77)) % 37.44/37.64 (define @t182 () (or @t179 @t178 @t121 @t176 @t174)) % 37.44/37.64 (define @t183 () (forall @t181 @t182)) % 37.44/37.64 (define @t184 () (forall @t123 @t183)) % 37.44/37.64 (define @t185 () (forall (@list @t78 @t77) @t182)) % 37.44/37.64 (define @t186 () (and @t84 @t177 @t81 @t175 @t173)) % 37.44/37.64 (define @t187 () (forall @t86 (not @t186))) % 37.44/37.64 (define @t188 () (not @t187)) % 37.44/37.64 (define @t189 () (forall @t123 (or @t121 (not (= @t80 @t130)) (not (= @t79 @t130))))) % 37.44/37.64 (define @t190 () (not @t189)) % 37.44/37.64 (define @t191 () (and @t138 @t190)) % 37.44/37.64 (define @t192 () (or @t160 @t191)) % 37.44/37.64 (define @t193 () (not @t192)) % 37.44/37.64 (define @t194 () (not @t128)) % 37.44/37.64 (define @t195 () (not (= @t130 @t79))) % 37.44/37.64 (define @t196 () (not (= @t130 @t80))) % 37.44/37.64 (define @t197 () (or @t121 @t196 @t195)) % 37.44/37.64 (define @t198 () (forall @t123 @t197)) % 37.44/37.64 (define @t199 () (not @t198)) % 37.44/37.64 (define @t200 () (and @t138 @t199)) % 37.44/37.64 (define @t201 () (or @t160 @t200)) % 37.44/37.64 (define @t202 () (not @t201)) % 37.44/37.64 (define @t203 () (@list true)) % 37.44/37.64 (define @t204 () (@list @t192)) % 37.44/37.64 (define @t205 () (@list false false false false)) % 37.44/37.64 (define @t206 () (tptp.element @t133 tptp.c)) % 37.44/37.64 (define @t207 () (tptp.apply tptp.h @t133)) % 37.44/37.64 (define @t208 () (= @t130 @t207)) % 37.44/37.64 (define @t209 () (not @t208)) % 37.44/37.64 (define @t210 () (not @t206)) % 37.44/37.64 (define @t211 () (or @t210 @t209)) % 37.44/37.64 (define @t212 () (@list @t211)) % 37.44/37.64 (define @t213 () (forall @t31 (or (not (tptp.element @t27 tptp.b)) (not (= (tptp.apply tptp.beta @t27) @t133))))) % 37.44/37.64 (define @t214 () (not @t213)) % 37.44/37.64 (define @t215 () (not @t70)) % 37.44/37.64 (define @t216 () (not @t74)) % 37.44/37.64 (define @t217 () (or @t216 @t215 @t210 @t214)) % 37.44/37.64 (define @t218 () (@quantifiers_skolemize @t213 0)) % 37.44/37.64 (define @t219 () (tptp.apply tptp.beta @t218)) % 37.44/37.64 (define @t220 () (= @t133 @t219)) % 37.44/37.64 (define @t221 () (not @t220)) % 37.44/37.64 (define @t222 () (tptp.element @t218 tptp.b)) % 37.44/37.64 (define @t223 () (not @t222)) % 37.44/37.64 (define @t224 () (or @t223 @t221)) % 37.44/37.64 (define @t225 () (not @t224)) % 37.44/37.64 (define @t226 () (not (= @t219 @t133))) % 37.44/37.64 (define @t227 () (or @t223 @t226)) % 37.44/37.64 (define @t228 () (not @t227)) % 37.44/37.64 (define @t229 () (@list @t224)) % 37.44/37.64 (define @t230 () (tptp.apply tptp.delta (tptp.apply tptp.g @t218))) % 37.44/37.64 (define @t231 () (not (= @t230 @t130))) % 37.44/37.64 (define @t232 () (tptp.apply tptp.h @t219)) % 37.44/37.64 (define @t233 () (not (= @t232 @t130))) % 37.44/37.64 (define @t234 () (or @t223 @t233 @t231)) % 37.44/37.64 (define @t235 () (= @t130 @t230)) % 37.44/37.64 (define @t236 () (not @t235)) % 37.44/37.64 (define @t237 () (= @t130 @t232)) % 37.44/37.64 (define @t238 () (not @t237)) % 37.44/37.64 (define @t239 () (or @t223 @t238 @t236)) % 37.44/37.64 (define @t240 () (@var "BOUND_VARIABLE_7791" $$unsorted)) % 37.44/37.64 (define @t241 () (= (tptp.apply @t53 (tptp.apply @t52 @t240)) (tptp.apply @t51 (tptp.apply @t50 @t240)))) % 37.44/37.64 (define @t242 () (not (tptp.element @t240 @t3))) % 37.44/37.64 (define @t243 () (not @t57)) % 37.44/37.64 (define @t244 () (not @t58)) % 37.44/37.64 (define @t245 () (not @t60)) % 37.44/37.64 (define @t246 () (not @t61)) % 37.44/37.64 (define @t247 () (not @t62)) % 37.44/37.64 (define @t248 () (or @t242 @t241)) % 37.44/37.64 (define @t249 () (or @t247 @t246 @t245 @t244 @t243 @t248)) % 37.44/37.64 (define @t250 () (forall (@list @t52 @t53 @t50 @t51 @t3 @t59 @t56 @t1 @t240) @t249)) % 37.44/37.64 (define @t251 () (@list @t240)) % 37.44/37.64 (define @t252 () (forall @t251 @t249)) % 37.44/37.64 (define @t253 () (forall @t251 @t248)) % 37.44/37.64 (define @t254 () (or @t247 @t246 @t245 @t244 @t243 @t253)) % 37.44/37.64 (define @t255 () (forall @t31 (or @t95 @t54))) % 37.44/37.64 (define @t256 () (or @t247 @t246 @t245 @t244 @t243 @t255)) % 37.44/37.64 (define @t257 () (or @t247 @t246 @t245 @t244 @t243)) % 37.44/37.64 (define @t258 () (= @t232 @t230)) % 37.44/37.64 (define @t259 () (not @t72)) % 37.44/37.64 (define @t260 () (not @t75)) % 37.44/37.64 (define @t261 () (or @t260 @t215 @t140 @t259 @t163 @t223 @t258)) % 37.44/37.64 (assume @p1 @t16) % 37.44/37.64 (assume @p2 (forall @t15 (=> (and @t25 @t13) @t24))) % 37.44/37.64 (assume @p3 (forall @t15 (=> (and @t13 @t24) @t25))) % 37.44/37.64 (assume @p4 @t40) % 37.44/37.64 (assume @p5 (forall @t15 (=> (and @t13 @t36) @t37))) % 37.44/37.64 (assume @p6 (forall @t49 (=> (and @t48 @t47 @t46) @t45))) % 37.44/37.64 (assume @p7 (forall @t49 (=> (and @t47 @t46 @t45) @t48))) % 37.44/37.64 (assume @p8 @t66) % 37.44/37.64 (assume @p9 (forall @t65 (=> (and @t61 @t60 @t58 @t57 @t55) @t62))) % 37.44/37.64 (assume @p10 (forall @t69 (=> @t68 (tptp.element @t67 @t3)))) % 37.44/37.64 (assume @p11 (forall (@list @t3 @t7) (=> @t9 (= (tptp.subtract @t3 @t7 @t7) @t4)))) % 37.44/37.64 (assume @p12 (forall @t69 (=> @t68 (= (tptp.subtract @t3 @t18 @t67) @t17)))) % 37.44/37.64 (assume @p13 (forall @t15 (=> @t13 (forall @t23 (=> @t68 (= (tptp.apply @t5 @t67) (tptp.subtract @t1 @t20 @t19))))))) % 37.44/37.64 (assume @p14 (tptp.morphism tptp.alpha tptp.a tptp.b)) % 37.44/37.64 (assume @p15 @t70) % 37.44/37.64 (assume @p16 (tptp.morphism tptp.gamma tptp.d tptp.e)) % 37.44/37.64 (assume @p17 @t71) % 37.44/37.64 (assume @p18 (tptp.morphism tptp.f tptp.a tptp.d)) % 37.44/37.64 (assume @p19 @t72) % 37.44/37.64 (assume @p20 @t73) % 37.44/37.64 (assume @p21 (tptp.injection tptp.alpha)) % 37.44/37.64 (assume @p22 (tptp.injection tptp.gamma)) % 37.44/37.64 (assume @p23 @t74) % 37.44/37.64 (assume @p24 (tptp.surjection tptp.delta)) % 37.44/37.64 (assume @p25 (tptp.exact tptp.alpha tptp.beta)) % 37.44/37.64 (assume @p26 (tptp.exact tptp.gammma tptp.delta)) % 37.44/37.64 (assume @p27 (tptp.commute tptp.alpha tptp.g tptp.f tptp.gamma)) % 37.44/37.64 (assume @p28 @t75) % 37.44/37.64 (assume @p29 (tptp.surjection tptp.f)) % 37.44/37.64 (assume @p30 @t76) % 37.44/37.64 (assume @p31 @t92) % 37.44/37.64 (assume @p32 true) % 37.44/37.64 (step @p33 :rule eq-symm :args (@t93 @t28)) % 37.44/37.64 (step @p34 :rule cong :premises (@p33) :args (@t94)) % 37.44/37.64 (step @p35 :rule refl :args (@t95)) % 37.44/37.64 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t96)) % 37.44/37.64 (step @p37 :rule cong :premises (@p36) :args (@t97)) % 37.44/37.64 (step @p38 :rule cong :premises (@p37) :args (@t98)) % 37.44/37.64 (step @p39 :rule refl :args (@t99)) % 37.44/37.64 (step @p40 :rule refl :args (@t100)) % 37.44/37.64 (step @p41 :rule refl :args (@t101)) % 37.44/37.64 (step @p42 :rule nary_cong :premises (@p41 @p40 @p39 @p38) :args (@t102)) % 37.44/37.64 (step @p43 :rule aci_norm :args ((= @t104 @t102))) % 37.44/37.64 (step @p44 :rule trans :premises (@p43 @p42)) % 37.44/37.64 (step @p45 :rule cong :premises (@p44) :args (@t106)) % 37.44/37.64 (step @p46 :rule quant-merge-prenex :args ((= (forall @t15 @t108) @t106))) % 37.44/37.64 (step @p47 :rule alpha_equiv :args (@t109 (@list @t93) (@list @t26))) % 37.44/37.64 (step @p48 :rule refl :args (@t100)) % 37.44/37.64 (step @p49 :rule refl :args (@t101)) % 37.44/37.64 (step @p50 :rule nary_cong :premises (@p49 @p48 @p47) :args (@t110)) % 37.44/37.64 (step @p51 :rule quant-miniscope-or :args ((= @t108 @t110))) % 37.44/37.64 (step @p52 :rule trans :premises (@p51 @p50)) % 37.44/37.64 (step @p53 :rule symm :premises (@p52)) % 37.44/37.64 (step @p54 :rule cong :premises (@p53) :args ((forall @t15 @t114))) % 37.44/37.64 (step @p55 :rule trans :premises (@p54 @p46)) % 37.44/37.64 (step @p56 :rule trans :premises (@p55 @p45)) % 37.44/37.64 (step @p57 :rule aci_norm :args ((= (or (or @t101 @t100) @t113) @t114))) % 37.44/37.64 (step @p58 :rule refl :args (@t113)) % 37.44/37.64 (step @p59 :rule bool-and-de-morgan :args (@t37 @t13 true)) % 37.44/37.64 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or (not @t38) @t113))) % 37.44/37.64 (step @p61 :rule trans :premises (@p60 @p57)) % 37.44/37.64 (step @p62 :rule bool-impl-elim :args (@t38 @t113)) % 37.44/37.64 (step @p63 :rule trans :premises (@p62 @p61)) % 37.44/37.64 (step @p64 :rule cong :premises (@p63) :args ((forall @t15 (=> @t38 @t113)))) % 37.44/37.64 (step @p65 :rule trans :premises (@p64 @p56)) % 37.44/37.64 (step @p66 :rule bool-impl-elim :args (@t33 @t112)) % 37.44/37.64 (step @p67 :rule cong :premises (@p66) :args ((forall @t35 (=> @t33 @t112)))) % 37.44/37.64 (step @p68 :rule bool-and-de-morgan :args (@t29 @t111 true)) % 37.44/37.64 (step @p69 :rule cong :premises (@p68) :args (@t116)) % 37.44/37.64 (step @p70 :rule cong :premises (@p69) :args (@t117)) % 37.44/37.64 (step @p71 :rule exists-elim :args ((= (exists @t31 @t115) @t117))) % 37.44/37.64 (step @p72 :rule trans :premises (@p71 @p70)) % 37.44/37.64 (step @p73 :rule eq-symm :args (@t28 @t26)) % 37.44/37.64 (step @p74 :rule refl :args (@t29)) % 37.44/37.64 (step @p75 :rule nary_cong :premises (@p74 @p73) :args (@t30)) % 37.44/37.64 (step @p76 :rule cong :premises (@p75) :args (@t32)) % 37.44/37.64 (step @p77 :rule trans :premises (@p76 @p72)) % 37.44/37.64 (step @p78 :rule refl :args (@t33)) % 37.44/37.64 (step @p79 :rule cong :premises (@p78 @p77) :args (@t34)) % 37.44/37.64 (step @p80 :rule cong :premises (@p79) :args (@t36)) % 37.44/37.64 (step @p81 :rule trans :premises (@p80 @p67)) % 37.44/37.64 (step @p82 :rule refl :args (@t38)) % 37.44/37.64 (step @p83 :rule cong :premises (@p82 @p81) :args (@t39)) % 37.44/37.64 (step @p84 :rule cong :premises (@p83) :args (@t40)) % 37.44/37.64 (step @p85 :rule trans :premises (@p84 @p65)) % 37.44/37.64 (step @p86 :rule eq_resolve :premises (@p4 @p85)) % 37.44/37.64 (step @p87 :rule instantiate :premises (@p86) :args ((@list tptp.beta tptp.b tptp.c @t133))) % 37.44/37.64 (step @p88 :rule eq-symm :args (@t118 @t130)) % 37.44/37.64 (step @p89 :rule cong :premises (@p88) :args (@t134)) % 37.44/37.64 (step @p90 :rule refl :args (@t131)) % 37.44/37.64 (step @p91 :rule nary_cong :premises (@p90 @p89) :args (@t135)) % 37.44/37.64 (step @p92 :rule cong :premises (@p91) :args (@t136)) % 37.44/37.64 (step @p93 :rule cong :premises (@p92) :args (@t137)) % 37.44/37.64 (step @p94 :rule refl :args (@t139)) % 37.44/37.64 (step @p95 :rule refl :args (@t140)) % 37.44/37.64 (step @p96 :rule refl :args (@t141)) % 37.44/37.64 (step @p97 :rule nary_cong :premises (@p96 @p95 @p94 @p93) :args (@t142)) % 37.44/37.64 (step @p98 :rule refl :args (@t143)) % 37.44/37.64 (step @p99 :rule cong :premises (@p98 @p97) :args ((=> @t143 @t142))) % 37.44/37.64 (assume-push @p372 @t143) % 37.44/37.64 (step @p101 :rule instantiate :premises (@p86) :args ((@list tptp.h tptp.c tptp.r @t130))) % 37.44/37.64 (step-pop @p373 :rule scope :premises (@p101)) % 37.44/37.64 (step @p102 :rule process_scope :premises (@p373) :args (@t142)) % 37.44/37.64 (step @p104 :rule eq_resolve :premises (@p102 @p99)) % 37.44/37.64 (step @p105 :rule implies_elim :premises (@p104)) % 37.44/37.64 (step @p106 :rule chain_m_resolution :premises (@p105 @p86) :args (@t145 @t146 (@list @t143))) % 37.44/37.64 (step @p107 :rule quant-merge-prenex :args ((= (forall @t15 @t152) (forall (@list @t5 @t3 @t1 @t147) @t150)))) % 37.44/37.64 (step @p108 :rule quant-unused-vars :args ((= @t153 @t6))) % 37.44/37.64 (step @p109 :rule alpha_equiv :args (@t154 (@list @t147) (@list @t7))) % 37.44/37.64 (step @p110 :rule nary_cong :premises (@p109 @p108) :args (@t155)) % 37.44/37.64 (step @p111 :rule quant-miniscope-and :args ((= @t156 @t155))) % 37.44/37.64 (step @p112 :rule trans :premises (@p111 @p110)) % 37.44/37.64 (step @p113 :rule nary_cong :premises (@p48 @p112) :args (@t157)) % 37.44/37.64 (step @p114 :rule quant-miniscope-or :args ((= @t152 @t157))) % 37.44/37.64 (step @p115 :rule trans :premises (@p114 @p113)) % 37.44/37.64 (step @p116 :rule symm :premises (@p115)) % 37.44/37.64 (step @p117 :rule cong :premises (@p116) :args ((forall @t15 (or @t100 @t158)))) % 37.44/37.64 (step @p118 :rule trans :premises (@p117 @p107)) % 37.44/37.64 (step @p119 :rule bool-impl-elim :args (@t13 @t158)) % 37.44/37.64 (step @p120 :rule cong :premises (@p119) :args ((forall @t15 (=> @t13 @t158)))) % 37.44/37.64 (step @p121 :rule trans :premises (@p120 @p118)) % 37.44/37.64 (step @p122 :rule refl :args (@t6)) % 37.44/37.64 (step @p123 :rule bool-impl-elim :args (@t9 @t8)) % 37.44/37.64 (step @p124 :rule cong :premises (@p123) :args (@t11)) % 37.44/37.64 (step @p125 :rule nary_cong :premises (@p124 @p122) :args (@t12)) % 37.44/37.64 (step @p126 :rule refl :args (@t13)) % 37.44/37.64 (step @p127 :rule cong :premises (@p126 @p125) :args (@t14)) % 37.44/37.64 (step @p128 :rule cong :premises (@p127) :args (@t16)) % 37.44/37.64 (step @p129 :rule trans :premises (@p128 @p121)) % 37.44/37.64 (step @p130 :rule eq_resolve :premises (@p1 @p129)) % 37.44/37.64 (step @p131 :rule instantiate :premises (@p130) :args ((@list tptp.delta tptp.e tptp.r @t129))) % 37.44/37.64 (step @p132 :rule cnf_or_pos :args (@t164)) % 37.44/37.64 (step @p133 :rule reordering :premises (@p132) :args ((or @t163 @t162 (not @t164)))) % 37.44/37.64 (step @p134 :rule chain_m_resolution :premises (@p133 @p17 @p131) :args (@t162 @t165 (@list @t71 @t164))) % 37.44/37.64 (step @p135 :rule cnf_and_pos :args (@t162 0)) % 37.44/37.64 (step @p136 :rule reordering :premises (@p135) :args ((or @t161 (not @t162)))) % 37.44/37.64 (step @p137 :rule chain_m_resolution :premises (@p136 @p134) :args (@t161 @t146 (@list @t162))) % 37.44/37.64 (step @p138 :rule refl :args (@t125)) % 37.44/37.64 (step @p139 :rule bool-double-not-elim :args (@t126)) % 37.44/37.64 (step @p140 :rule nary_cong :premises (@p139 @p138) :args ((and (not @t166) @t125))) % 37.44/37.64 (step @p141 :rule bool-or-de-morgan :args (@t166 @t124 false)) % 37.44/37.64 (step @p142 :rule trans :premises (@p141 @p140)) % 37.44/37.64 (step @p143 :rule refl :args (@t127)) % 37.44/37.64 (step @p144 :rule nary_cong :premises (@p143 @p142) :args ((or @t127 @t168))) % 37.44/37.64 (step @p145 :rule bool-impl-elim :args (@t88 @t168)) % 37.44/37.64 (step @p146 :rule trans :premises (@p145 @p144)) % 37.44/37.64 (step @p147 :rule cong :premises (@p146) :args ((forall @t90 (=> @t88 @t168)))) % 37.44/37.64 (step @p148 :rule quant-miniscope-or :args ((= (forall @t123 @t169) @t167))) % 37.44/37.64 (step @p149 :rule aci_norm :args ((= @t170 @t169))) % 37.44/37.64 (step @p150 :rule cong :premises (@p149) :args ((forall @t123 @t170))) % 37.44/37.64 (step @p151 :rule trans :premises (@p150 @p148)) % 37.44/37.64 (step @p152 :rule aci_norm :args ((= (or @t166 false @t121 @t120 @t119) @t170))) % 37.44/37.64 (step @p153 :rule refl :args (@t119)) % 37.44/37.64 (step @p154 :rule refl :args (@t120)) % 37.44/37.64 (step @p155 :rule refl :args (@t121)) % 37.44/37.64 (step @p156 :rule evaluate :args ((not true))) % 37.44/37.64 (step @p157 :rule eq-refl :args (@t83)) % 37.44/37.64 (step @p158 :rule cong :premises (@p157) :args (@t171)) % 37.44/37.64 (step @p159 :rule trans :premises (@p158 @p156)) % 37.44/37.64 (step @p160 :rule refl :args (@t166)) % 37.44/37.64 (step @p161 :rule nary_cong :premises (@p160 @p159 @p155 @p154 @p153) :args (@t172)) % 37.44/37.64 (step @p162 :rule trans :premises (@p161 @p152)) % 37.44/37.64 (step @p163 :rule cong :premises (@p162) :args ((forall @t123 @t172))) % 37.44/37.64 (step @p164 :rule trans :premises (@p163 @p151)) % 37.44/37.64 (step @p165 :rule quant-var-elim-eq :args ((= (forall @t181 @t180) @t172))) % 37.44/37.64 (step @p166 :rule aci_norm :args ((= @t182 @t180))) % 37.44/37.64 (step @p167 :rule cong :premises (@p166) :args (@t183)) % 37.44/37.64 (step @p168 :rule trans :premises (@p167 @p165)) % 37.44/37.64 (step @p169 :rule cong :premises (@p168) :args (@t184)) % 37.44/37.64 (step @p170 :rule quant-merge-prenex :args ((= @t184 @t185))) % 37.44/37.64 (step @p171 :rule symm :premises (@p170)) % 37.44/37.64 (step @p172 :rule quant_var_reordering :args ((= (forall @t86 @t182) @t185))) % 37.44/37.64 (step @p173 :rule trans :premises (@p172 @p171 @p169)) % 37.44/37.64 (step @p174 :rule trans :premises (@p173 @p164)) % 37.44/37.64 (step @p175 :rule aci_norm :args ((= (or @t179 (or @t178 (or @t121 (or @t176 @t174)))) @t182))) % 37.44/37.64 (step @p176 :rule bool-and-de-morgan :args (@t175 @t173 true)) % 37.44/37.64 (step @p177 :rule refl :args (@t121)) % 37.44/37.64 (step @p178 :rule nary_cong :premises (@p177 @p176) :args ((or @t121 (not (and @t175 @t173))))) % 37.44/37.64 (step @p179 :rule bool-and-de-morgan :args (@t81 @t175 (and @t173))) % 37.44/37.64 (step @p180 :rule trans :premises (@p179 @p178)) % 37.44/37.64 (step @p181 :rule refl :args (@t178)) % 37.44/37.64 (step @p182 :rule nary_cong :premises (@p181 @p180) :args ((or @t178 (not (and @t81 @t175 @t173))))) % 37.44/37.64 (step @p183 :rule bool-and-de-morgan :args (@t177 @t81 (and @t175 @t173))) % 37.44/37.64 (step @p184 :rule trans :premises (@p183 @p182)) % 37.44/37.64 (step @p185 :rule refl :args (@t179)) % 37.44/37.64 (step @p186 :rule nary_cong :premises (@p185 @p184) :args ((or @t179 (not (and @t177 @t81 @t175 @t173))))) % 37.44/37.64 (step @p187 :rule bool-and-de-morgan :args (@t84 @t177 (and @t81 @t175 @t173))) % 37.44/37.64 (step @p188 :rule trans :premises (@p187 @p186)) % 37.44/37.64 (step @p189 :rule trans :premises (@p188 @p175)) % 37.44/37.64 (step @p190 :rule cong :premises (@p189) :args (@t187)) % 37.44/37.64 (step @p191 :rule trans :premises (@p190 @p174)) % 37.44/37.64 (step @p192 :rule cong :premises (@p191) :args (@t188)) % 37.44/37.64 (step @p193 :rule exists-elim :args ((= (exists @t86 @t186) @t188))) % 37.44/37.64 (step @p194 :rule trans :premises (@p193 @p192)) % 37.44/37.64 (step @p195 :rule eq-symm :args (@t79 @t77)) % 37.44/37.64 (step @p196 :rule eq-symm :args (@t80 @t77)) % 37.44/37.64 (step @p197 :rule refl :args (@t81)) % 37.44/37.64 (step @p198 :rule eq-symm :args (@t83 @t77)) % 37.44/37.64 (step @p199 :rule refl :args (@t84)) % 37.44/37.64 (step @p200 :rule nary_cong :premises (@p199 @p198 @p197 @p196 @p195) :args (@t85)) % 37.44/37.64 (step @p201 :rule cong :premises (@p200) :args (@t87)) % 37.44/37.64 (step @p202 :rule trans :premises (@p201 @p194)) % 37.44/37.64 (step @p203 :rule refl :args (@t88)) % 37.44/37.64 (step @p204 :rule cong :premises (@p203 @p202) :args (@t89)) % 37.44/37.64 (step @p205 :rule cong :premises (@p204) :args (@t91)) % 37.44/37.64 (step @p206 :rule trans :premises (@p205 @p147)) % 37.44/37.64 (step @p207 :rule cong :premises (@p206) :args (@t92)) % 37.44/37.64 (step @p208 :rule eq_resolve :premises (@p31 @p207)) % 37.44/37.64 (step @p209 :rule refl :args (@t193)) % 37.44/37.64 (step @p210 :rule bool-double-not-elim :args (@t128)) % 37.44/37.64 (step @p211 :rule nary_cong :premises (@p210 @p209) :args ((or (not @t194) @t193))) % 37.44/37.64 (step @p212 :rule eq-symm :args (@t130 @t79)) % 37.44/37.64 (step @p213 :rule cong :premises (@p212) :args (@t195)) % 37.44/37.64 (step @p214 :rule eq-symm :args (@t130 @t80)) % 37.44/37.64 (step @p215 :rule cong :premises (@p214) :args (@t196)) % 37.44/37.64 (step @p216 :rule nary_cong :premises (@p155 @p215 @p213) :args (@t197)) % 37.44/37.64 (step @p217 :rule cong :premises (@p216) :args (@t198)) % 37.44/37.64 (step @p218 :rule cong :premises (@p217) :args (@t199)) % 37.44/37.64 (step @p219 :rule refl :args (@t138)) % 37.44/37.64 (step @p220 :rule nary_cong :premises (@p219 @p218) :args (@t200)) % 37.44/37.64 (step @p221 :rule refl :args (@t160)) % 37.44/37.64 (step @p222 :rule nary_cong :premises (@p221 @p220) :args (@t201)) % 37.44/37.64 (step @p223 :rule cong :premises (@p222) :args (@t202)) % 37.44/37.64 (step @p224 :rule refl :args (@t194)) % 37.44/37.64 (step @p225 :rule cong :premises (@p224 @p223) :args ((=> @t194 @t202))) % 37.44/37.64 (assume-push @p374 @t194) % 37.44/37.64 (step @p227 :rule skolemize :premises (@p208)) % 37.44/37.64 (step-pop @p375 :rule scope :premises (@p227)) % 37.44/37.64 (step @p228 :rule process_scope :premises (@p375) :args (@t202)) % 37.44/37.64 (step @p230 :rule eq_resolve :premises (@p228 @p225)) % 37.44/37.64 (step @p231 :rule implies_elim :premises (@p230)) % 37.44/37.64 (step @p232 :rule eq_resolve :premises (@p231 @p211)) % 37.44/37.64 (step @p233 :rule chain_m_resolution :premises (@p232 @p208) :args (@t193 @t203 (@list @t128))) % 37.44/37.64 (step @p234 :rule bool-double-not-elim :args (@t159)) % 37.44/37.64 (step @p235 :rule refl :args (@t192)) % 37.44/37.64 (step @p236 :rule nary_cong :premises (@p235 @p234) :args ((or @t192 (not @t160)))) % 37.44/37.64 (step @p237 :rule cnf_or_neg :args (@t192 0)) % 37.44/37.64 (step @p238 :rule eq_resolve :premises (@p237 @p236)) % 37.44/37.64 (step @p239 :rule reordering :premises (@p238) :args ((or @t159 @t192))) % 37.44/37.64 (step @p240 :rule chain_m_resolution :premises (@p239 @p233) :args (@t159 @t203 @t204)) % 37.44/37.64 (step @p241 :rule cnf_or_pos :args (@t161)) % 37.44/37.64 (step @p242 :rule reordering :premises (@p241) :args ((or @t160 @t138 (not @t161)))) % 37.44/37.64 (step @p243 :rule chain_m_resolution :premises (@p242 @p240 @p137) :args (@t138 @t165 (@list @t159 @t161))) % 37.44/37.64 (step @p244 :rule cnf_or_pos :args (@t145)) % 37.44/37.64 (step @p245 :rule reordering :premises (@p244) :args ((or @t140 @t141 @t139 @t144 (not @t145)))) % 37.44/37.64 (step @p246 :rule chain_m_resolution :premises (@p245 @p20 @p30 @p243 @p106) :args (@t144 @t205 (@list @t73 @t76 @t138 @t145))) % 37.44/37.64 (step @p247 :rule skolemize :premises (@p246)) % 37.44/37.64 (step @p248 :rule bool-double-not-elim :args (@t206)) % 37.44/37.64 (step @p249 :rule refl :args (@t211)) % 37.44/37.64 (step @p250 :rule nary_cong :premises (@p249 @p248) :args ((or @t211 (not @t210)))) % 37.44/37.64 (step @p251 :rule cnf_or_neg :args (@t211 0)) % 37.44/37.64 (step @p252 :rule eq_resolve :premises (@p251 @p250)) % 37.44/37.64 (step @p253 :rule reordering :premises (@p252) :args ((or @t206 @t211))) % 37.44/37.64 (step @p254 :rule chain_m_resolution :premises (@p253 @p247) :args (@t206 @t203 @t212)) % 37.44/37.64 (step @p255 :rule cnf_or_pos :args (@t217)) % 37.44/37.64 (step @p256 :rule reordering :premises (@p255) :args ((or @t215 @t216 @t210 @t214 (not @t217)))) % 37.44/37.64 (step @p257 :rule chain_m_resolution :premises (@p256 @p15 @p23 @p254 @p87) :args (@t214 @t205 (@list @t70 @t74 @t206 @t217))) % 37.44/37.64 (step @p258 :rule refl :args (@t225)) % 37.44/37.64 (step @p259 :rule bool-double-not-elim :args (@t213)) % 37.44/37.64 (step @p260 :rule nary_cong :premises (@p259 @p258) :args ((or (not @t214) @t225))) % 37.44/37.64 (step @p261 :rule eq-symm :args (@t219 @t133)) % 37.44/37.64 (step @p262 :rule cong :premises (@p261) :args (@t226)) % 37.44/37.64 (step @p263 :rule refl :args (@t223)) % 37.44/37.64 (step @p264 :rule nary_cong :premises (@p263 @p262) :args (@t227)) % 37.44/37.64 (step @p265 :rule cong :premises (@p264) :args (@t228)) % 37.44/37.64 (step @p266 :rule refl :args (@t214)) % 37.44/37.64 (step @p267 :rule cong :premises (@p266 @p265) :args ((=> @t214 @t228))) % 37.44/37.64 (assume-push @p376 @t214) % 37.44/37.64 (step @p269 :rule skolemize :premises (@p257)) % 37.44/37.64 (step-pop @p377 :rule scope :premises (@p269)) % 37.44/37.64 (step @p270 :rule process_scope :premises (@p377) :args (@t228)) % 37.44/37.64 (step @p272 :rule eq_resolve :premises (@p270 @p267)) % 37.44/37.64 (step @p273 :rule implies_elim :premises (@p272)) % 37.44/37.64 (step @p274 :rule eq_resolve :premises (@p273 @p260)) % 37.44/37.64 (step @p275 :rule chain_m_resolution :premises (@p274 @p257) :args (@t225 @t203 (@list @t213))) % 37.44/37.64 (step @p276 :rule bool-double-not-elim :args (@t222)) % 37.44/37.64 (step @p277 :rule refl :args (@t224)) % 37.44/37.64 (step @p278 :rule nary_cong :premises (@p277 @p276) :args ((or @t224 (not @t223)))) % 37.44/37.64 (step @p279 :rule cnf_or_neg :args (@t224 0)) % 37.44/37.64 (step @p280 :rule eq_resolve :premises (@p279 @p278)) % 37.44/37.64 (step @p281 :rule reordering :premises (@p280) :args ((or @t222 @t224))) % 37.44/37.64 (step @p282 :rule chain_m_resolution :premises (@p281 @p275) :args (@t222 @t203 @t229)) % 37.44/37.64 (step @p283 :rule cnf_or_neg :args (@t192 1)) % 37.44/37.64 (step @p284 :rule chain_m_resolution :premises (@p283 @p233) :args ((not @t191) @t203 @t204)) % 37.44/37.64 (step @p285 :rule bool-double-not-elim :args (@t189)) % 37.44/37.64 (step @p286 :rule refl :args (@t191)) % 37.44/37.64 (step @p287 :rule nary_cong :premises (@p286 @p94 @p285) :args ((or @t191 @t139 (not @t190)))) % 37.44/37.64 (step @p288 :rule cnf_and_neg :args (@t191)) % 37.44/37.64 (step @p289 :rule eq_resolve :premises (@p288 @p287)) % 37.44/37.64 (step @p290 :rule reordering :premises (@p289) :args ((or @t189 @t191 @t139))) % 37.44/37.64 (step @p291 :rule chain_m_resolution :premises (@p290 @p284 @p243) :args (@t189 (@list true false) (@list @t191 @t138))) % 37.44/37.64 (step @p292 :rule eq-symm :args (@t230 @t130)) % 37.44/37.64 (step @p293 :rule cong :premises (@p292) :args (@t231)) % 37.44/37.64 (step @p294 :rule eq-symm :args (@t232 @t130)) % 37.44/37.64 (step @p295 :rule cong :premises (@p294) :args (@t233)) % 37.44/37.64 (step @p296 :rule nary_cong :premises (@p263 @p295 @p293) :args (@t234)) % 37.44/37.64 (step @p297 :rule refl :args (@t189)) % 37.44/37.64 (step @p298 :rule cong :premises (@p297 @p296) :args ((=> @t189 @t234))) % 37.44/37.64 (assume-push @p378 @t189) % 37.44/37.64 (step @p300 :rule instantiate :premises (@p291) :args ((@list @t218))) % 37.44/37.64 (step-pop @p379 :rule scope :premises (@p300)) % 37.44/37.64 (step @p301 :rule process_scope :premises (@p379) :args (@t234)) % 37.44/37.64 (step @p303 :rule eq_resolve :premises (@p301 @p298)) % 37.44/37.64 (step @p304 :rule implies_elim :premises (@p303)) % 37.44/37.64 (step @p305 :rule chain_m_resolution :premises (@p304 @p291) :args (@t239 @t146 (@list @t189))) % 37.44/37.64 (step @p306 :rule bool-double-not-elim :args (@t220)) % 37.44/37.64 (step @p307 :rule nary_cong :premises (@p277 @p306) :args ((or @t224 (not @t221)))) % 37.44/37.64 (step @p308 :rule cnf_or_neg :args (@t224 1)) % 37.44/37.64 (step @p309 :rule eq_resolve :premises (@p308 @p307)) % 37.44/37.64 (step @p310 :rule reordering :premises (@p309) :args ((or @t220 @t224))) % 37.44/37.64 (step @p311 :rule chain_m_resolution :premises (@p310 @p275) :args (@t220 @t203 @t229)) % 37.44/37.64 (step @p312 :rule refl :args (tptp.h)) % 37.44/37.64 (step @p313 :rule cong :premises (@p312 @p311) :args (@t207)) % 37.44/37.64 (step @p314 :rule bool-double-not-elim :args (@t208)) % 37.44/37.64 (step @p315 :rule nary_cong :premises (@p249 @p314) :args ((or @t211 (not @t209)))) % 37.44/37.64 (step @p316 :rule cnf_or_neg :args (@t211 1)) % 37.44/37.64 (step @p317 :rule eq_resolve :premises (@p316 @p315)) % 37.44/37.64 (step @p318 :rule reordering :premises (@p317) :args ((or @t208 @t211))) % 37.44/37.64 (step @p319 :rule chain_m_resolution :premises (@p318 @p247) :args (@t208 @t203 @t212)) % 37.44/37.64 (step @p320 :rule trans :premises (@p319 @p313)) % 37.44/37.64 (step @p321 :rule aci_norm :args ((= @t249 (or @t247 @t246 @t245 @t244 @t243 @t242 @t241)))) % 37.44/37.64 (step @p322 :rule cong :premises (@p321) :args (@t250)) % 37.44/37.64 (step @p323 :rule quant-merge-prenex :args ((= (forall @t65 @t252) @t250))) % 37.44/37.64 (step @p324 :rule alpha_equiv :args (@t253 (@list @t240) (@list @t27))) % 37.44/37.64 (step @p325 :rule refl :args (@t243)) % 37.44/37.64 (step @p326 :rule refl :args (@t244)) % 37.44/37.64 (step @p327 :rule refl :args (@t245)) % 37.44/37.64 (step @p328 :rule refl :args (@t246)) % 37.44/37.64 (step @p329 :rule refl :args (@t247)) % 37.44/37.64 (step @p330 :rule nary_cong :premises (@p329 @p328 @p327 @p326 @p325 @p324) :args (@t254)) % 37.44/37.64 (step @p331 :rule quant-miniscope-or :args ((= @t252 @t254))) % 37.44/37.64 (step @p332 :rule trans :premises (@p331 @p330)) % 37.44/37.64 (step @p333 :rule symm :premises (@p332)) % 37.44/37.64 (step @p334 :rule cong :premises (@p333) :args ((forall @t65 @t256))) % 37.44/37.64 (step @p335 :rule trans :premises (@p334 @p323)) % 37.44/37.64 (step @p336 :rule trans :premises (@p335 @p322)) % 37.44/37.64 (step @p337 :rule aci_norm :args ((= (or @t257 @t255) @t256))) % 37.44/37.64 (step @p338 :rule refl :args (@t255)) % 37.44/37.64 (step @p339 :rule aci_norm :args ((= (or @t247 (or @t246 (or @t245 (or @t244 @t243)))) @t257))) % 37.44/37.64 (step @p340 :rule bool-and-de-morgan :args (@t58 @t57 true)) % 37.44/37.64 (step @p341 :rule nary_cong :premises (@p327 @p340) :args ((or @t245 (not (and @t58 @t57))))) % 37.44/37.64 (step @p342 :rule bool-and-de-morgan :args (@t60 @t58 (and @t57))) % 37.44/37.64 (step @p343 :rule trans :premises (@p342 @p341)) % 37.44/37.64 (step @p344 :rule nary_cong :premises (@p328 @p343) :args ((or @t246 (not (and @t60 @t58 @t57))))) % 37.44/37.64 (step @p345 :rule bool-and-de-morgan :args (@t61 @t60 (and @t58 @t57))) % 37.44/37.64 (step @p346 :rule trans :premises (@p345 @p344)) % 37.44/37.64 (step @p347 :rule nary_cong :premises (@p329 @p346) :args ((or @t247 (not (and @t61 @t60 @t58 @t57))))) % 37.44/37.64 (step @p348 :rule bool-and-de-morgan :args (@t62 @t61 (and @t60 @t58 @t57))) % 37.44/37.64 (step @p349 :rule trans :premises (@p348 @p347)) % 37.44/37.64 (step @p350 :rule trans :premises (@p349 @p339)) % 37.44/37.64 (step @p351 :rule nary_cong :premises (@p350 @p338) :args ((or (not @t63) @t255))) % 37.44/37.64 (step @p352 :rule trans :premises (@p351 @p337)) % 37.44/37.64 (step @p353 :rule bool-impl-elim :args (@t63 @t255)) % 37.44/37.64 (step @p354 :rule trans :premises (@p353 @p352)) % 37.44/37.64 (step @p355 :rule cong :premises (@p354) :args ((forall @t65 (=> @t63 @t255)))) % 37.44/37.64 (step @p356 :rule trans :premises (@p355 @p336)) % 37.44/37.64 (step @p357 :rule bool-impl-elim :args (@t29 @t54)) % 37.44/37.64 (step @p358 :rule cong :premises (@p357) :args (@t55)) % 37.44/37.64 (step @p359 :rule refl :args (@t63)) % 37.44/37.64 (step @p360 :rule cong :premises (@p359 @p358) :args (@t64)) % 37.44/37.64 (step @p361 :rule cong :premises (@p360) :args (@t66)) % 37.44/37.64 (step @p362 :rule trans :premises (@p361 @p356)) % 37.44/37.64 (step @p363 :rule eq_resolve :premises (@p8 @p362)) % 37.44/37.64 (step @p364 :rule instantiate :premises (@p363) :args ((@list tptp.beta tptp.h tptp.g tptp.delta tptp.b tptp.c tptp.e tptp.r @t218))) % 37.44/37.64 (step @p365 :rule cnf_or_pos :args (@t261)) % 37.44/37.64 (step @p366 :rule reordering :premises (@p365) :args ((or @t215 @t163 @t259 @t140 @t260 @t223 @t258 (not @t261)))) % 37.44/37.64 (step @p367 :rule chain_m_resolution :premises (@p366 @p15 @p17 @p19 @p20 @p28 @p282 @p364) :args (@t258 (@list false false false false false false false) (@list @t70 @t71 @t72 @t73 @t75 @t222 @t261))) % 37.44/37.64 (step @p368 :rule trans :premises (@p320 @p367)) % 37.44/37.64 (step @p369 :rule cnf_or_pos :args (@t239)) % 37.44/37.64 (step @p370 :rule reordering :premises (@p369) :args ((or @t223 @t238 @t236 (not @t239)))) % 37.44/37.64 (step @p371 false :rule chain_m_resolution :premises (@p370 @p368 @p320 @p305 @p282) :args (false @t205 (@list @t235 @t237 @t239 @t222))) % 37.44/37.64 ) % 37.44/37.64 % SZS output end Proof % 37.44/37.65 % cvc5 exiting %------------------------------------------------------------------------------