%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG225+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:05:34 AM UTC 2026 % Result : Theorem 33.84s 35.75s % Output : Proof 33.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG225+1 : TPTP v9.2.1. Released v3.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n026.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 01:47:26 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/1.67 %----Proving TF0_NAR, FOF, or CNF % 33.84/35.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.84/35.75 --- Run --no-e-matching --full-saturate-quant at 6... % 33.84/35.75 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.84/35.75 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.84/35.75 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.84/35.75 % SZS status Theorem % 33.84/35.75 % SZS output start Proof % 33.84/35.75 ( % 33.84/35.75 (declare-sort $$unsorted 0) % 33.84/35.75 (declare-const tptp.a_2_0_closure3 (-> $$unsorted $$unsorted $$unsorted)) % 33.84/35.75 (declare-const tptp.k1_relat_1 (-> $$unsorted $$unsorted)) % 33.84/35.75 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 33.84/35.75 (declare-const tptp.k2_funcop_1 (-> $$unsorted $$unsorted $$unsorted)) % 33.84/35.75 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 33.84/35.75 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 33.84/35.75 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 33.84/35.75 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 33.84/35.75 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 33.84/35.75 (declare-const tptp.k1_closure3 (-> $$unsorted $$unsorted $$unsorted)) % 33.84/35.75 (declare-const tptp.k7_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 33.84/35.75 (declare-const tptp.v1_pre_circ (-> $$unsorted $$unsorted Bool)) % 33.84/35.75 (declare-const tptp.k1_xboole_0 $$unsorted) % 33.84/35.75 (declare-const tptp.k1_pboole (-> $$unsorted $$unsorted)) % 33.84/35.75 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 33.84/35.75 (declare-const tptp.m1_pboole (-> $$unsorted $$unsorted Bool)) % 33.84/35.75 (declare-const tptp.v1_fraenkel (-> $$unsorted Bool)) % 33.84/35.75 (declare-const tptp.v2_relat_1 (-> $$unsorted Bool)) % 33.84/35.75 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 33.84/35.75 (declare-const tptp.k1_funct_4 (-> $$unsorted $$unsorted $$unsorted)) % 33.84/35.75 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 33.84/35.75 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 33.84/35.75 (declare-const tptp.a_2_1_closure3 (-> $$unsorted $$unsorted $$unsorted)) % 33.84/35.75 (declare-const tptp.v3_relat_1 (-> $$unsorted Bool)) % 33.84/35.75 (define @t1 () (@var "B" $$unsorted)) % 33.84/35.75 (define @t2 () (@var "A" $$unsorted)) % 33.84/35.75 (define @t3 () (tptp.k1_closure3 @t2 @t1)) % 33.84/35.75 (define @t4 () (tptp.k1_pboole @t2)) % 33.84/35.75 (define @t5 () (= @t1 (tptp.k1_funct_4 @t4 (tptp.k7_relat_1 @t1 @t3)))) % 33.84/35.75 (define @t6 () (tptp.m1_pboole @t1 @t2)) % 33.84/35.75 (define @t7 () (tptp.v2_relat_1 @t1)) % 33.84/35.75 (define @t8 () (and @t7 @t6)) % 33.84/35.75 (define @t9 () (@list @t1)) % 33.84/35.75 (define @t10 () (forall @t9 (=> @t8 @t5))) % 33.84/35.75 (define @t11 () (tptp.v1_xboole_0 @t2)) % 33.84/35.75 (define @t12 () (not @t11)) % 33.84/35.75 (define @t13 () (=> @t12 @t10)) % 33.84/35.75 (define @t14 () (@list @t2)) % 33.84/35.75 (define @t15 () (forall @t14 @t13)) % 33.84/35.75 (define @t16 () (not @t15)) % 33.84/35.75 (define @t17 () (tptp.r2_hidden @t2 @t1)) % 33.84/35.75 (define @t18 () (@list @t2 @t1)) % 33.84/35.75 (define @t19 () (tptp.v1_fraenkel @t2)) % 33.84/35.75 (define @t20 () (tptp.v1_finset_1 @t2)) % 33.84/35.75 (define @t21 () (tptp.v1_funct_1 @t2)) % 33.84/35.75 (define @t22 () (tptp.v3_relat_1 @t1)) % 33.84/35.75 (define @t23 () (tptp.v1_finset_1 @t1)) % 33.84/35.75 (define @t24 () (tptp.k1_zfmisc_1 @t2)) % 33.84/35.75 (define @t25 () (tptp.m1_subset_1 @t1 @t24)) % 33.84/35.75 (define @t26 () (tptp.v2_funct_1 @t2)) % 33.84/35.75 (define @t27 () (tptp.v1_relat_1 @t2)) % 33.84/35.75 (define @t28 () (and @t27 @t21 @t26)) % 33.84/35.75 (define @t29 () (and @t27 @t11 @t21)) % 33.84/35.75 (define @t30 () (not @t7)) % 33.84/35.75 (define @t31 () (tptp.r1_tarski @t2 @t1)) % 33.84/35.75 (define @t32 () (= @t2 @t1)) % 33.84/35.75 (define @t33 () (@var "C" $$unsorted)) % 33.84/35.75 (define @t34 () (tptp.v1_xboole_0 (tptp.k1_funct_1 @t1 @t33))) % 33.84/35.75 (define @t35 () (tptp.r2_hidden @t33 @t2)) % 33.84/35.75 (define @t36 () (@list @t33)) % 33.84/35.75 (define @t37 () (forall @t36 (not (and @t35 @t34)))) % 33.84/35.75 (define @t38 () (= @t7 @t37)) % 33.84/35.75 (define @t39 () (=> @t6 @t38)) % 33.84/35.75 (define @t40 () (forall @t18 @t39)) % 33.84/35.75 (define @t41 () (tptp.a_2_0_closure3 @t2 @t1)) % 33.84/35.75 (define @t42 () (= @t33 @t41)) % 33.84/35.75 (define @t43 () (= (= @t33 @t3) @t42)) % 33.84/35.75 (define @t44 () (forall @t36 @t43)) % 33.84/35.75 (define @t45 () (=> @t6 @t44)) % 33.84/35.75 (define @t46 () (forall @t9 @t45)) % 33.84/35.75 (define @t47 () (=> @t12 @t46)) % 33.84/35.75 (define @t48 () (forall @t14 @t47)) % 33.84/35.75 (define @t49 () (tptp.k1_relat_1 @t1)) % 33.84/35.75 (define @t50 () (= @t6 (= @t49 @t2))) % 33.84/35.75 (define @t51 () (tptp.v1_funct_1 @t1)) % 33.84/35.75 (define @t52 () (tptp.v1_relat_1 @t1)) % 33.84/35.75 (define @t53 () (and @t52 @t51)) % 33.84/35.75 (define @t54 () (=> @t53 @t50)) % 33.84/35.75 (define @t55 () (forall @t18 @t54)) % 33.84/35.75 (define @t56 () (tptp.r2_hidden @t33 @t1)) % 33.84/35.75 (define @t57 () (forall @t36 (=> @t35 @t56))) % 33.84/35.75 (define @t58 () (= @t31 @t57)) % 33.84/35.75 (define @t59 () (forall @t18 @t58)) % 33.84/35.75 (define @t60 () (tptp.k1_funct_4 @t2 @t1)) % 33.84/35.75 (define @t61 () (and @t27 @t21 @t52 @t51)) % 33.84/35.75 (define @t62 () (tptp.k7_relat_1 @t2 @t1)) % 33.84/35.75 (define @t63 () (tptp.v1_relat_1 @t62)) % 33.84/35.75 (define @t64 () (forall @t18 (=> @t6 @t53))) % 33.84/35.75 (define @t65 () (tptp.v1_funct_1 @t4)) % 33.84/35.75 (define @t66 () (tptp.v3_relat_1 @t4)) % 33.84/35.75 (define @t67 () (tptp.v1_relat_1 @t4)) % 33.84/35.75 (define @t68 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 33.84/35.75 (define @t69 () (not @t34)) % 33.84/35.75 (define @t70 () (@list @t2 @t1 @t33)) % 33.84/35.75 (define @t71 () (and @t27 @t21)) % 33.84/35.75 (define @t72 () (@var "D" $$unsorted)) % 33.84/35.75 (define @t73 () (tptp.k1_funct_1 @t33 @t72)) % 33.84/35.75 (define @t74 () (not (= @t73 tptp.k1_xboole_0))) % 33.84/35.75 (define @t75 () (= @t2 @t72)) % 33.84/35.75 (define @t76 () (tptp.m1_subset_1 @t72 @t1)) % 33.84/35.75 (define @t77 () (and @t76 @t75 @t74)) % 33.84/35.75 (define @t78 () (@list @t72)) % 33.84/35.75 (define @t79 () (exists @t78 @t77)) % 33.84/35.75 (define @t80 () (tptp.r2_hidden @t2 (tptp.a_2_0_closure3 @t1 @t33))) % 33.84/35.75 (define @t81 () (= @t80 @t79)) % 33.84/35.75 (define @t82 () (tptp.m1_pboole @t33 @t1)) % 33.84/35.75 (define @t83 () (tptp.v1_xboole_0 @t1)) % 33.84/35.75 (define @t84 () (not @t83)) % 33.84/35.75 (define @t85 () (and @t84 @t82)) % 33.84/35.75 (define @t86 () (=> @t85 @t81)) % 33.84/35.75 (define @t87 () (forall @t70 @t86)) % 33.84/35.75 (define @t88 () (tptp.k1_funct_4 @t1 @t33)) % 33.84/35.75 (define @t89 () (tptp.m1_pboole @t33 @t2)) % 33.84/35.75 (define @t90 () (=> @t89 (= @t88 @t33))) % 33.84/35.75 (define @t91 () (forall @t36 @t90)) % 33.84/35.75 (define @t92 () (=> @t6 @t91)) % 33.84/35.75 (define @t93 () (forall @t9 @t92)) % 33.84/35.75 (define @t94 () (=> @t12 @t93)) % 33.84/35.75 (define @t95 () (forall @t14 @t94)) % 33.84/35.75 (define @t96 () (tptp.m1_subset_1 @t2 @t1)) % 33.84/35.75 (define @t97 () (forall @t18 (=> @t17 @t96))) % 33.84/35.75 (define @t98 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t33))) % 33.84/35.75 (define @t99 () (tptp.k7_relat_1 @t1 @t2)) % 33.84/35.75 (define @t100 () (tptp.r1_tarski @t49 @t2)) % 33.84/35.75 (define @t101 () (=> @t100 (= @t99 @t1))) % 33.84/35.75 (define @t102 () (=> @t52 @t101)) % 33.84/35.75 (define @t103 () (forall @t18 @t102)) % 33.84/35.75 (define @t104 () (@var "BOUND_VARIABLE_7705" $$unsorted)) % 33.84/35.75 (define @t105 () (= @t104 (tptp.k1_funct_4 @t4 (tptp.k7_relat_1 @t104 (tptp.k1_closure3 @t2 @t104))))) % 33.84/35.75 (define @t106 () (not (tptp.m1_pboole @t104 @t2))) % 33.84/35.75 (define @t107 () (not (tptp.v2_relat_1 @t104))) % 33.84/35.75 (define @t108 () (or @t11 @t107 @t106 @t105)) % 33.84/35.75 (define @t109 () (or @t107 @t106 @t105)) % 33.84/35.75 (define @t110 () (or @t11 @t109)) % 33.84/35.75 (define @t111 () (@list @t2 @t104)) % 33.84/35.75 (define @t112 () (forall @t111 @t110)) % 33.84/35.75 (define @t113 () (@list @t104)) % 33.84/35.75 (define @t114 () (forall @t113 @t110)) % 33.84/35.75 (define @t115 () (forall @t113 @t109)) % 33.84/35.75 (define @t116 () (or @t11 @t115)) % 33.84/35.75 (define @t117 () (not @t6)) % 33.84/35.75 (define @t118 () (or @t30 @t117 @t5)) % 33.84/35.75 (define @t119 () (forall @t9 @t118)) % 33.84/35.75 (define @t120 () (not @t12)) % 33.84/35.75 (define @t121 () (forall @t111 @t108)) % 33.84/35.75 (define @t122 () (@quantifiers_skolemize @t121 1)) % 33.84/35.75 (define @t123 () (@quantifiers_skolemize @t121 0)) % 33.84/35.75 (define @t124 () (tptp.k1_closure3 @t123 @t122)) % 33.84/35.75 (define @t125 () (tptp.k7_relat_1 @t122 @t124)) % 33.84/35.75 (define @t126 () (tptp.k1_pboole @t123)) % 33.84/35.75 (define @t127 () (tptp.k1_funct_4 @t126 @t125)) % 33.84/35.75 (define @t128 () (= @t122 @t127)) % 33.84/35.75 (define @t129 () (tptp.m1_pboole @t122 @t123)) % 33.84/35.75 (define @t130 () (not @t129)) % 33.84/35.75 (define @t131 () (tptp.v2_relat_1 @t122)) % 33.84/35.75 (define @t132 () (not @t131)) % 33.84/35.75 (define @t133 () (tptp.v1_xboole_0 @t123)) % 33.84/35.75 (define @t134 () (or @t133 @t132 @t130 @t128)) % 33.84/35.75 (define @t135 () (not @t128)) % 33.84/35.75 (define @t136 () (@list true)) % 33.84/35.75 (define @t137 () (@list @t134)) % 33.84/35.75 (define @t138 () (@var "BOUND_VARIABLE_8150" $$unsorted)) % 33.84/35.75 (define @t139 () (@var "BOUND_VARIABLE_8148" $$unsorted)) % 33.84/35.75 (define @t140 () (= @t138 (tptp.k1_funct_4 @t139 @t138))) % 33.84/35.75 (define @t141 () (not (tptp.m1_pboole @t138 @t2))) % 33.84/35.75 (define @t142 () (not (tptp.m1_pboole @t139 @t2))) % 33.84/35.75 (define @t143 () (or @t142 @t141 @t140)) % 33.84/35.75 (define @t144 () (or @t11 @t143)) % 33.84/35.75 (define @t145 () (forall (@list @t2 @t139 @t138) @t144)) % 33.84/35.75 (define @t146 () (@list @t139 @t138)) % 33.84/35.75 (define @t147 () (forall @t146 @t144)) % 33.84/35.75 (define @t148 () (forall @t146 @t143)) % 33.84/35.75 (define @t149 () (@var "BOUND_VARIABLE_8132" $$unsorted)) % 33.84/35.75 (define @t150 () (or @t11 @t148)) % 33.84/35.75 (define @t151 () (= @t149 (tptp.k1_funct_4 @t1 @t149))) % 33.84/35.75 (define @t152 () (not (tptp.m1_pboole @t149 @t2))) % 33.84/35.75 (define @t153 () (or @t117 @t152 @t151)) % 33.84/35.75 (define @t154 () (@list @t1 @t149)) % 33.84/35.75 (define @t155 () (forall @t154 @t153)) % 33.84/35.75 (define @t156 () (or @t152 @t151)) % 33.84/35.75 (define @t157 () (or @t117 @t156)) % 33.84/35.75 (define @t158 () (forall @t154 @t157)) % 33.84/35.75 (define @t159 () (@list @t149)) % 33.84/35.75 (define @t160 () (forall @t159 @t157)) % 33.84/35.75 (define @t161 () (forall @t159 @t156)) % 33.84/35.75 (define @t162 () (@list @t33)) % 33.84/35.75 (define @t163 () (or @t117 @t161)) % 33.84/35.75 (define @t164 () (= @t33 @t88)) % 33.84/35.75 (define @t165 () (forall @t36 (or (not @t89) @t164))) % 33.84/35.75 (define @t166 () (= @t122 (tptp.k1_funct_4 @t122 @t122))) % 33.84/35.75 (define @t167 () (or @t133 @t130 @t130 @t166)) % 33.84/35.75 (define @t168 () (@list true false false)) % 33.84/35.75 (define @t169 () (tptp.k1_funct_4 @t126 @t122)) % 33.84/35.75 (define @t170 () (= @t122 @t169)) % 33.84/35.75 (define @t171 () (tptp.m1_pboole @t126 @t123)) % 33.84/35.75 (define @t172 () (not @t171)) % 33.84/35.75 (define @t173 () (or @t133 @t172 @t130 @t170)) % 33.84/35.75 (define @t174 () (= @t1 @t99)) % 33.84/35.75 (define @t175 () (not @t100)) % 33.84/35.75 (define @t176 () (not @t52)) % 33.84/35.75 (define @t177 () (=> @t100 @t174)) % 33.84/35.75 (define @t178 () (tptp.k1_relat_1 @t122)) % 33.84/35.75 (define @t179 () (forall @t36 (or (not (tptp.r2_hidden @t33 @t178)) (tptp.r2_hidden @t33 @t124)))) % 33.84/35.75 (define @t180 () (@quantifiers_skolemize @t179 0)) % 33.84/35.75 (define @t181 () (tptp.r2_hidden @t180 @t178)) % 33.84/35.75 (define @t182 () (tptp.r2_hidden @t180 @t124)) % 33.84/35.75 (define @t183 () (not @t181)) % 33.84/35.75 (define @t184 () (or @t183 @t182)) % 33.84/35.75 (define @t185 () (tptp.m1_subset_1 @t180 @t178)) % 33.84/35.75 (define @t186 () (or @t183 @t185)) % 33.84/35.75 (define @t187 () (= @t6 (= @t2 @t49))) % 33.84/35.75 (define @t188 () (not @t51)) % 33.84/35.75 (define @t189 () (@list @t123 @t122)) % 33.84/35.75 (define @t190 () (tptp.v1_funct_1 @t122)) % 33.84/35.75 (define @t191 () (tptp.v1_relat_1 @t122)) % 33.84/35.75 (define @t192 () (and @t191 @t190)) % 33.84/35.75 (define @t193 () (or @t130 @t192)) % 33.84/35.75 (define @t194 () (@list false false)) % 33.84/35.75 (define @t195 () (not @t192)) % 33.84/35.75 (define @t196 () (@list false)) % 33.84/35.75 (define @t197 () (@list @t192)) % 33.84/35.75 (define @t198 () (= @t123 @t178)) % 33.84/35.75 (define @t199 () (= @t129 @t198)) % 33.84/35.75 (define @t200 () (not @t190)) % 33.84/35.75 (define @t201 () (not @t191)) % 33.84/35.75 (define @t202 () (or @t201 @t200 @t199)) % 33.84/35.75 (define @t203 () (@list false false false)) % 33.84/35.75 (define @t204 () (tptp.r2_hidden @t180 @t123)) % 33.84/35.75 (define @t205 () (and @t198 @t181)) % 33.84/35.75 (define @t206 () (@var "BOUND_VARIABLE_7845" $$unsorted)) % 33.84/35.75 (define @t207 () (tptp.a_2_0_closure3 @t2 @t206)) % 33.84/35.75 (define @t208 () (@var "BOUND_VARIABLE_7847" $$unsorted)) % 33.84/35.75 (define @t209 () (tptp.k1_closure3 @t2 @t206)) % 33.84/35.75 (define @t210 () (= (= @t209 @t208) (= @t207 @t208))) % 33.84/35.75 (define @t211 () (not (tptp.m1_pboole @t206 @t2))) % 33.84/35.75 (define @t212 () (or @t11 @t211 @t210)) % 33.84/35.75 (define @t213 () (or @t211 @t210)) % 33.84/35.75 (define @t214 () (or @t11 @t213)) % 33.84/35.75 (define @t215 () (@list @t2 @t206 @t208)) % 33.84/35.75 (define @t216 () (forall @t215 @t214)) % 33.84/35.75 (define @t217 () (@list @t206 @t208)) % 33.84/35.75 (define @t218 () (forall @t217 @t214)) % 33.84/35.75 (define @t219 () (forall @t217 @t213)) % 33.84/35.75 (define @t220 () (@var "BOUND_VARIABLE_7828" $$unsorted)) % 33.84/35.75 (define @t221 () (or @t11 @t219)) % 33.84/35.75 (define @t222 () (= @t41 @t220)) % 33.84/35.75 (define @t223 () (= @t3 @t220)) % 33.84/35.75 (define @t224 () (@list @t1 @t220)) % 33.84/35.75 (define @t225 () (forall @t224 (or @t117 (= @t223 @t222)))) % 33.84/35.75 (define @t226 () (= (= @t220 @t41) @t223)) % 33.84/35.75 (define @t227 () (or @t117 @t226)) % 33.84/35.75 (define @t228 () (forall @t224 @t227)) % 33.84/35.75 (define @t229 () (@list @t220)) % 33.84/35.75 (define @t230 () (forall @t229 @t227)) % 33.84/35.75 (define @t231 () (forall @t229 @t226)) % 33.84/35.75 (define @t232 () (or @t117 @t231)) % 33.84/35.75 (define @t233 () (= @t3 @t33)) % 33.84/35.75 (define @t234 () (forall @t36 (= @t42 @t233))) % 33.84/35.75 (define @t235 () (tptp.a_2_0_closure3 @t123 @t122)) % 33.84/35.75 (define @t236 () (= @t124 @t235)) % 33.84/35.75 (define @t237 () (= (= @t235 @t124) (= @t235 @t235))) % 33.84/35.75 (define @t238 () (or @t133 @t130 @t237)) % 33.84/35.75 (define @t239 () (forall @t215 (or @t11 @t211 (= (= @t208 @t209) (= @t208 @t207))))) % 33.84/35.75 (define @t240 () (or @t133 @t130 @t236)) % 33.84/35.75 (define @t241 () (tptp.r2_hidden @t180 @t235)) % 33.84/35.75 (define @t242 () (not @t241)) % 33.84/35.75 (define @t243 () (not @t236)) % 33.84/35.75 (define @t244 () (not @t182)) % 33.84/35.75 (define @t245 () (and @t244 @t236)) % 33.84/35.75 (define @t246 () (tptp.m1_subset_1 @t180 @t123)) % 33.84/35.75 (define @t247 () (and @t198 @t185)) % 33.84/35.75 (define @t248 () (= @t7 (forall @t36 (or (not @t35) @t69)))) % 33.84/35.75 (define @t249 () (forall @t36 (or (not (tptp.r2_hidden @t33 @t123)) (not (tptp.v1_xboole_0 (tptp.k1_funct_1 @t122 @t33)))))) % 33.84/35.75 (define @t250 () (= @t131 @t249)) % 33.84/35.75 (define @t251 () (or @t130 @t250)) % 33.84/35.75 (define @t252 () (tptp.k1_funct_1 @t122 @t180)) % 33.84/35.75 (define @t253 () (tptp.v1_xboole_0 @t252)) % 33.84/35.75 (define @t254 () (not @t253)) % 33.84/35.75 (define @t255 () (not @t204)) % 33.84/35.75 (define @t256 () (or @t255 @t254)) % 33.84/35.75 (define @t257 () (= tptp.k1_xboole_0 (tptp.k1_funct_1 @t33 @t2))) % 33.84/35.75 (define @t258 () (not @t257)) % 33.84/35.75 (define @t259 () (= @t80 (and @t96 @t258))) % 33.84/35.75 (define @t260 () (not @t82)) % 33.84/35.75 (define @t261 () (not @t96)) % 33.84/35.75 (define @t262 () (or @t261 @t257)) % 33.84/35.75 (define @t263 () (= @t80 (not @t262))) % 33.84/35.75 (define @t264 () (not (= @t2 @t2))) % 33.84/35.75 (define @t265 () (or @t261 @t264 @t257)) % 33.84/35.75 (define @t266 () (= tptp.k1_xboole_0 @t73)) % 33.84/35.75 (define @t267 () (not @t75)) % 33.84/35.75 (define @t268 () (not @t76)) % 33.84/35.75 (define @t269 () (or @t267 @t268 @t267 @t266)) % 33.84/35.75 (define @t270 () (or @t268 @t267 @t266)) % 33.84/35.75 (define @t271 () (not @t266)) % 33.84/35.75 (define @t272 () (not @t271)) % 33.84/35.75 (define @t273 () (or @t268 @t267 @t272)) % 33.84/35.75 (define @t274 () (and @t76 @t75 @t271)) % 33.84/35.75 (define @t275 () (forall @t78 (not @t274))) % 33.84/35.75 (define @t276 () (not @t275)) % 33.84/35.75 (define @t277 () (= tptp.k1_xboole_0 @t252)) % 33.84/35.75 (define @t278 () (not @t277)) % 33.84/35.75 (define @t279 () (and @t246 @t278)) % 33.84/35.75 (define @t280 () (= @t241 @t279)) % 33.84/35.75 (define @t281 () (or @t133 @t130 @t280)) % 33.84/35.75 (define @t282 () (not @t246)) % 33.84/35.75 (define @t283 () (not @t68)) % 33.84/35.75 (define @t284 () (= false true)) % 33.84/35.75 (define @t285 () (and @t68 @t277 @t254)) % 33.84/35.75 (define @t286 () (not @t184)) % 33.84/35.75 (define @t287 () (not @t179)) % 33.84/35.75 (define @t288 () (tptp.r1_tarski @t178 @t124)) % 33.84/35.75 (define @t289 () (= @t288 @t179)) % 33.84/35.75 (define @t290 () (= @t122 @t125)) % 33.84/35.75 (define @t291 () (not @t288)) % 33.84/35.75 (define @t292 () (or @t201 @t291 @t290)) % 33.84/35.75 (define @t293 () (not @t170)) % 33.84/35.75 (define @t294 () (not @t290)) % 33.84/35.75 (define @t295 () (not @t166)) % 33.84/35.75 (define @t296 () (= @t125 @t127)) % 33.84/35.75 (define @t297 () (and @t166 @t290 @t296 @t135)) % 33.84/35.75 (assume @p1 @t16) % 33.84/35.75 (assume @p2 (forall @t18 (=> @t17 (not (tptp.r2_hidden @t1 @t2))))) % 33.84/35.75 (assume @p3 (forall @t14 (=> @t11 @t19))) % 33.84/35.75 (assume @p4 (forall @t14 (=> @t11 @t20))) % 33.84/35.75 (assume @p5 (forall @t14 (=> @t11 @t21))) % 33.84/35.75 (assume @p6 (forall @t18 (=> @t6 (=> @t22 (tptp.v1_pre_circ @t1 @t2))))) % 33.84/35.75 (assume @p7 (forall @t14 (=> @t12 (forall @t9 (=> @t6 (=> @t7 (not @t22))))))) % 33.84/35.75 (assume @p8 (forall @t14 (=> @t20 (forall @t9 (=> @t25 @t23))))) % 33.84/35.75 (assume @p9 (forall @t14 (=> @t29 @t28))) % 33.84/35.75 (assume @p10 (forall @t14 (=> @t12 (forall @t9 (=> @t6 (=> @t22 @t30)))))) % 33.84/35.75 (assume @p11 (forall @t18 (= @t32 (and @t31 (tptp.r1_tarski @t1 @t2))))) % 33.84/35.75 (assume @p12 @t40) % 33.84/35.75 (assume @p13 @t48) % 33.84/35.75 (assume @p14 @t55) % 33.84/35.75 (assume @p15 @t59) % 33.84/35.75 (assume @p16 (forall @t14 (= @t4 (tptp.k2_funcop_1 @t2 tptp.k1_xboole_0)))) % 33.84/35.75 (assume @p17 true) % 33.84/35.75 (assume @p18 (forall @t18 (=> @t61 (and (tptp.v1_relat_1 @t60) (tptp.v1_funct_1 @t60))))) % 33.84/35.75 (assume @p19 (forall @t14 (tptp.m1_pboole @t4 @t2))) % 33.84/35.75 (assume @p20 (forall @t18 (=> @t27 @t63))) % 33.84/35.75 (assume @p21 @t64) % 33.84/35.75 (assume @p22 (forall @t14 (exists @t9 @t6))) % 33.84/35.75 (assume @p23 (forall @t14 (exists @t9 (tptp.m1_subset_1 @t1 @t2)))) % 33.84/35.75 (assume @p24 (forall @t14 (and @t67 @t66 @t65 (tptp.v1_pre_circ @t4 @t2)))) % 33.84/35.75 (assume @p25 (forall @t14 (not (tptp.v1_xboole_0 @t24)))) % 33.84/35.75 (assume @p26 @t68) % 33.84/35.75 (assume @p27 (forall @t70 (=> (and @t12 @t7 @t6 (tptp.m1_subset_1 @t33 @t2)) @t69))) % 33.84/35.75 (assume @p28 (forall @t14 (and @t67 @t66 @t65))) % 33.84/35.75 (assume @p29 (forall @t18 (=> @t71 (and @t63 (tptp.v1_funct_1 @t62))))) % 33.84/35.75 (assume @p30 @t87) % 33.84/35.75 (assume @p31 (forall @t70 (=> (and @t84 (tptp.v2_relat_1 @t33) @t82) (= (tptp.r2_hidden @t2 (tptp.a_2_1_closure3 @t1 @t33)) @t79)))) % 33.84/35.75 (assume @p32 (forall @t18 (=> @t61 (= (tptp.k1_funct_4 @t2 @t2) @t2)))) % 33.84/35.75 (assume @p33 (exists @t14 (and @t11 @t27 @t21 @t26 @t20 @t19))) % 33.84/35.75 (assume @p34 (exists @t14 (and @t12 @t20))) % 33.84/35.75 (assume @p35 (exists @t14 @t71)) % 33.84/35.75 (assume @p36 (exists @t14 (and @t27 (tptp.v3_relat_1 @t2) @t21))) % 33.84/35.75 (assume @p37 (forall @t14 (=> @t12 (exists @t9 (and @t25 @t84))))) % 33.84/35.75 (assume @p38 (exists @t14 @t11)) % 33.84/35.75 (assume @p39 (exists @t14 @t29)) % 33.84/35.75 (assume @p40 (forall @t14 (exists @t9 (and @t6 @t52 @t22 @t51)))) % 33.84/35.75 (assume @p41 (forall @t14 (exists @t9 (and @t25 @t83)))) % 33.84/35.75 (assume @p42 (exists @t14 @t12)) % 33.84/35.75 (assume @p43 (forall @t14 (=> @t12 (exists @t9 (and @t25 @t84 @t23))))) % 33.84/35.75 (assume @p44 (exists @t14 @t28)) % 33.84/35.75 (assume @p45 (forall @t14 (exists @t9 (and @t6 @t52 @t7 @t51)))) % 33.84/35.75 (assume @p46 (exists @t14 (and @t27 (tptp.v2_relat_1 @t2) @t21))) % 33.84/35.75 (assume @p47 (forall @t18 (tptp.r1_tarski @t2 @t2))) % 33.84/35.75 (assume @p48 @t95) % 33.84/35.75 (assume @p49 @t97) % 33.84/35.75 (assume @p50 (forall @t18 (=> @t96 (or @t83 @t17)))) % 33.84/35.75 (assume @p51 (forall @t18 (=> (forall @t36 (= @t35 @t56)) @t32))) % 33.84/35.75 (assume @p52 (forall @t18 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1)) @t31))) % 33.84/35.75 (assume @p53 (forall @t70 (=> (and @t17 @t98) (tptp.m1_subset_1 @t2 @t33)))) % 33.84/35.75 (assume @p54 (forall @t70 (not (and @t17 @t98 (tptp.v1_xboole_0 @t33))))) % 33.84/35.75 (assume @p55 (forall @t14 (=> @t11 (= @t2 tptp.k1_xboole_0)))) % 33.84/35.75 (assume @p56 (forall @t18 (not (and @t17 @t83)))) % 33.84/35.75 (assume @p57 (forall @t18 (not (and @t11 (not @t32) @t83)))) % 33.84/35.75 (assume @p58 @t103) % 33.84/35.75 (step @p59 :rule aci_norm :args ((= @t110 @t108))) % 33.84/35.75 (step @p60 :rule cong :premises (@p59) :args (@t112)) % 33.84/35.75 (step @p61 :rule quant-merge-prenex :args ((= (forall @t14 @t114) @t112))) % 33.84/35.75 (step @p62 :rule alpha_equiv :args (@t115 (@list @t104) (@list @t1))) % 33.84/35.75 (step @p63 :rule refl :args (@t11)) % 33.84/35.75 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t116)) % 33.84/35.75 (step @p65 :rule quant-miniscope-or :args ((= @t114 @t116))) % 33.84/35.75 (step @p66 :rule trans :premises (@p65 @p64)) % 33.84/35.75 (step @p67 :rule symm :premises (@p66)) % 33.84/35.75 (step @p68 :rule cong :premises (@p67) :args ((forall @t14 (or @t11 @t119)))) % 33.84/35.75 (step @p69 :rule trans :premises (@p68 @p61)) % 33.84/35.75 (step @p70 :rule trans :premises (@p69 @p60)) % 33.84/35.75 (step @p71 :rule refl :args (@t119)) % 33.84/35.75 (step @p72 :rule bool-double-not-elim :args (@t11)) % 33.84/35.75 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or @t120 @t119))) % 33.84/35.75 (step @p74 :rule bool-impl-elim :args (@t12 @t119)) % 33.84/35.75 (step @p75 :rule trans :premises (@p74 @p73)) % 33.84/35.75 (step @p76 :rule cong :premises (@p75) :args ((forall @t14 (=> @t12 @t119)))) % 33.84/35.75 (step @p77 :rule trans :premises (@p76 @p70)) % 33.84/35.75 (step @p78 :rule aci_norm :args ((= (or (or @t30 @t117) @t5) @t118))) % 33.84/35.75 (step @p79 :rule refl :args (@t5)) % 33.84/35.75 (step @p80 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 33.84/35.75 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or (not @t8) @t5))) % 33.84/35.75 (step @p82 :rule trans :premises (@p81 @p78)) % 33.84/35.75 (step @p83 :rule bool-impl-elim :args (@t8 @t5)) % 33.84/35.75 (step @p84 :rule trans :premises (@p83 @p82)) % 33.84/35.75 (step @p85 :rule cong :premises (@p84) :args (@t10)) % 33.84/35.75 (step @p86 :rule refl :args (@t12)) % 33.84/35.75 (step @p87 :rule cong :premises (@p86 @p85) :args (@t13)) % 33.84/35.75 (step @p88 :rule cong :premises (@p87) :args (@t15)) % 33.84/35.75 (step @p89 :rule trans :premises (@p88 @p77)) % 33.84/35.75 (step @p90 :rule cong :premises (@p89) :args (@t16)) % 33.84/35.75 (step @p91 :rule eq_resolve :premises (@p1 @p90)) % 33.84/35.75 (step @p92 :rule skolemize :premises (@p91)) % 33.84/35.75 (step @p93 :rule cnf_or_neg :args (@t134 3)) % 33.84/35.75 (step @p94 :rule chain_m_resolution :premises (@p93 @p92) :args (@t135 @t136 @t137)) % 33.84/35.75 (step @p95 :rule aci_norm :args ((= @t144 (or @t11 @t142 @t141 @t140)))) % 33.84/35.75 (step @p96 :rule cong :premises (@p95) :args (@t145)) % 33.84/35.75 (step @p97 :rule quant-merge-prenex :args ((= (forall @t14 @t147) @t145))) % 33.84/35.75 (step @p98 :rule alpha_equiv :args (@t148 (@list @t139 @t138) (@list @t1 @t149))) % 33.84/35.75 (step @p99 :rule nary_cong :premises (@p63 @p98) :args (@t150)) % 33.84/35.75 (step @p100 :rule quant-miniscope-or :args ((= @t147 @t150))) % 33.84/35.75 (step @p101 :rule trans :premises (@p100 @p99)) % 33.84/35.75 (step @p102 :rule symm :premises (@p101)) % 33.84/35.75 (step @p103 :rule cong :premises (@p102) :args ((forall @t14 (or @t11 @t155)))) % 33.84/35.75 (step @p104 :rule trans :premises (@p103 @p97)) % 33.84/35.75 (step @p105 :rule trans :premises (@p104 @p96)) % 33.84/35.75 (step @p106 :rule refl :args (@t155)) % 33.84/35.75 (step @p107 :rule nary_cong :premises (@p72 @p106) :args ((or @t120 @t155))) % 33.84/35.75 (step @p108 :rule bool-impl-elim :args (@t12 @t155)) % 33.84/35.75 (step @p109 :rule trans :premises (@p108 @p107)) % 33.84/35.75 (step @p110 :rule cong :premises (@p109) :args ((forall @t14 (=> @t12 @t155)))) % 33.84/35.75 (step @p111 :rule trans :premises (@p110 @p105)) % 33.84/35.75 (step @p112 :rule aci_norm :args ((= @t157 @t153))) % 33.84/35.75 (step @p113 :rule cong :premises (@p112) :args (@t158)) % 33.84/35.75 (step @p114 :rule quant-merge-prenex :args ((= (forall @t9 @t160) @t158))) % 33.84/35.75 (step @p115 :rule alpha_equiv :args (@t161 (@list @t149) @t162)) % 33.84/35.75 (step @p116 :rule refl :args (@t117)) % 33.84/35.75 (step @p117 :rule nary_cong :premises (@p116 @p115) :args (@t163)) % 33.84/35.75 (step @p118 :rule quant-miniscope-or :args ((= @t160 @t163))) % 33.84/35.75 (step @p119 :rule trans :premises (@p118 @p117)) % 33.84/35.75 (step @p120 :rule symm :premises (@p119)) % 33.84/35.75 (step @p121 :rule cong :premises (@p120) :args ((forall @t9 (or @t117 @t165)))) % 33.84/35.75 (step @p122 :rule trans :premises (@p121 @p114)) % 33.84/35.75 (step @p123 :rule trans :premises (@p122 @p113)) % 33.84/35.75 (step @p124 :rule bool-impl-elim :args (@t6 @t165)) % 33.84/35.75 (step @p125 :rule cong :premises (@p124) :args ((forall @t9 (=> @t6 @t165)))) % 33.84/35.75 (step @p126 :rule trans :premises (@p125 @p123)) % 33.84/35.75 (step @p127 :rule bool-impl-elim :args (@t89 @t164)) % 33.84/35.75 (step @p128 :rule cong :premises (@p127) :args ((forall @t36 (=> @t89 @t164)))) % 33.84/35.75 (step @p129 :rule eq-symm :args (@t88 @t33)) % 33.84/35.75 (step @p130 :rule refl :args (@t89)) % 33.84/35.75 (step @p131 :rule cong :premises (@p130 @p129) :args (@t90)) % 33.84/35.75 (step @p132 :rule cong :premises (@p131) :args (@t91)) % 33.84/35.75 (step @p133 :rule trans :premises (@p132 @p128)) % 33.84/35.75 (step @p134 :rule refl :args (@t6)) % 33.84/35.75 (step @p135 :rule cong :premises (@p134 @p133) :args (@t92)) % 33.84/35.75 (step @p136 :rule cong :premises (@p135) :args (@t93)) % 33.84/35.75 (step @p137 :rule trans :premises (@p136 @p126)) % 33.84/35.75 (step @p138 :rule cong :premises (@p86 @p137) :args (@t94)) % 33.84/35.75 (step @p139 :rule cong :premises (@p138) :args (@t95)) % 33.84/35.75 (step @p140 :rule trans :premises (@p139 @p111)) % 33.84/35.75 (step @p141 :rule eq_resolve :premises (@p48 @p140)) % 33.84/35.75 (step @p142 :rule instantiate :premises (@p141) :args ((@list @t123 @t122 @t122))) % 33.84/35.75 (step @p143 :rule bool-double-not-elim :args (@t129)) % 33.84/35.75 (step @p144 :rule refl :args (@t134)) % 33.84/35.75 (step @p145 :rule nary_cong :premises (@p144 @p143) :args ((or @t134 (not @t130)))) % 33.84/35.75 (step @p146 :rule cnf_or_neg :args (@t134 2)) % 33.84/35.75 (step @p147 :rule eq_resolve :premises (@p146 @p145)) % 33.84/35.75 (step @p148 :rule reordering :premises (@p147) :args ((or @t129 @t134))) % 33.84/35.75 (step @p149 :rule chain_m_resolution :premises (@p148 @p92) :args (@t129 @t136 @t137)) % 33.84/35.75 (step @p150 :rule cnf_or_neg :args (@t134 0)) % 33.84/35.75 (step @p151 :rule chain_m_resolution :premises (@p150 @p92) :args ((not @t133) @t136 @t137)) % 33.84/35.75 (step @p152 :rule cnf_or_pos :args (@t167)) % 33.84/35.75 (step @p153 :rule factoring :premises (@p152)) % 33.84/35.75 (step @p154 :rule reordering :premises (@p153) :args ((or @t133 @t130 @t166 (not @t167)))) % 33.84/35.75 (step @p155 :rule chain_m_resolution :premises (@p154 @p151 @p149 @p142) :args (@t166 @t168 (@list @t133 @t129 @t167))) % 33.84/35.75 (step @p156 :rule instantiate :premises (@p141) :args ((@list @t123 @t126 @t122))) % 33.84/35.75 (step @p157 :rule instantiate :premises (@p19) :args ((@list @t123))) % 33.84/35.75 (step @p158 :rule cnf_or_pos :args (@t173)) % 33.84/35.75 (step @p159 :rule reordering :premises (@p158) :args ((or @t133 @t130 @t172 @t170 (not @t173)))) % 33.84/35.75 (step @p160 :rule chain_m_resolution :premises (@p159 @p151 @p149 @p157 @p156) :args (@t170 (@list true false false false) (@list @t133 @t129 @t171 @t173))) % 33.84/35.75 (step @p161 :rule aci_norm :args ((= (or @t176 (or @t175 @t174)) (or @t176 @t175 @t174)))) % 33.84/35.75 (step @p162 :rule bool-impl-elim :args (@t100 @t174)) % 33.84/35.75 (step @p163 :rule refl :args (@t176)) % 33.84/35.75 (step @p164 :rule nary_cong :premises (@p163 @p162) :args ((or @t176 @t177))) % 33.84/35.75 (step @p165 :rule trans :premises (@p164 @p161)) % 33.84/35.75 (step @p166 :rule bool-impl-elim :args (@t52 @t177)) % 33.84/35.75 (step @p167 :rule trans :premises (@p166 @p165)) % 33.84/35.75 (step @p168 :rule cong :premises (@p167) 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:premises (@p405 @p404)) % 33.84/35.75 (step @p407 :rule refl :args (@t80)) % 33.84/35.75 (step @p408 :rule cong :premises (@p407 @p406) :args (@t263)) % 33.84/35.75 (step @p409 :rule refl :args (@t260)) % 33.84/35.75 (step @p410 :rule bool-double-not-elim :args (@t83)) % 33.84/35.75 (step @p411 :rule nary_cong :premises (@p410 @p409) :args ((or (not @t84) @t260))) % 33.84/35.75 (step @p412 :rule bool-and-de-morgan :args (@t84 @t82 true)) % 33.84/35.75 (step @p413 :rule trans :premises (@p412 @p411)) % 33.84/35.75 (step @p414 :rule nary_cong :premises (@p413 @p408) :args ((or (not @t85) @t263))) % 33.84/35.75 (step @p415 :rule trans :premises (@p414 @p401)) % 33.84/35.75 (step @p416 :rule bool-impl-elim :args (@t85 @t263)) % 33.84/35.75 (step @p417 :rule trans :premises (@p416 @p415)) % 33.84/35.75 (step @p418 :rule cong :premises (@p417) :args ((forall @t70 (=> @t85 @t263)))) % 33.84/35.75 (step @p419 :rule aci_norm :args ((= (or @t261 false @t257) @t262))) % 33.84/35.75 (step @p420 :rule refl :args (@t257)) % 33.84/35.75 (step @p421 :rule evaluate :args ((not true))) % 33.84/35.75 (step @p422 :rule eq-refl :args (@t2)) % 33.84/35.75 (step @p423 :rule cong :premises (@p422) :args (@t264)) % 33.84/35.75 (step @p424 :rule trans :premises (@p423 @p421)) % 33.84/35.75 (step @p425 :rule refl :args (@t261)) % 33.84/35.75 (step @p426 :rule nary_cong :premises (@p425 @p424 @p420) :args (@t265)) % 33.84/35.75 (step @p427 :rule trans :premises (@p426 @p419)) % 33.84/35.75 (step @p428 :rule quant-var-elim-eq :args ((= (forall @t78 (or (not (= @t72 @t2)) @t268 @t267 @t266)) @t265))) % 33.84/35.75 (step @p429 :rule refl :args (@t266)) % 33.84/35.75 (step @p430 :rule refl :args (@t267)) % 33.84/35.75 (step @p431 :rule refl :args (@t268)) % 33.84/35.75 (step @p432 :rule eq-symm :args (@t2 @t72)) % 33.84/35.75 (step @p433 :rule cong :premises (@p432) :args (@t267)) % 33.84/35.75 (step @p434 :rule nary_cong :premises (@p433 @p431 @p430 @p429) :args (@t269)) % 33.84/35.75 (step @p435 :rule aci_norm :args ((= @t270 @t269))) % 33.84/35.75 (step @p436 :rule trans :premises (@p435 @p434)) % 33.84/35.75 (step @p437 :rule cong :premises (@p436) :args ((forall @t78 @t270))) % 33.84/35.75 (step @p438 :rule trans :premises (@p437 @p428)) % 33.84/35.75 (step @p439 :rule trans :premises (@p438 @p427)) % 33.84/35.75 (step @p440 :rule bool-double-not-elim :args (@t266)) % 33.84/35.75 (step @p441 :rule nary_cong :premises (@p431 @p430 @p440) :args (@t273)) % 33.84/35.75 (step @p442 :rule aci_norm :args ((= (or @t268 (or @t267 @t272)) @t273))) % 33.84/35.75 (step @p443 :rule trans :premises (@p442 @p441)) % 33.84/35.75 (step @p444 :rule bool-and-de-morgan :args (@t75 @t271 true)) % 33.84/35.75 (step @p445 :rule nary_cong :premises (@p431 @p444) :args ((or @t268 (not (and @t75 @t271))))) % 33.84/35.75 (step @p446 :rule bool-and-de-morgan :args (@t76 @t75 (and @t271))) % 33.84/35.75 (step @p447 :rule trans :premises (@p446 @p445)) % 33.84/35.75 (step @p448 :rule trans :premises (@p447 @p443)) % 33.84/35.75 (step @p449 :rule cong :premises (@p448) :args (@t275)) % 33.84/35.75 (step @p450 :rule trans :premises (@p449 @p439)) % 33.84/35.75 (step @p451 :rule cong :premises (@p450) :args (@t276)) % 33.84/35.75 (step @p452 :rule exists-elim :args ((= (exists @t78 @t274) @t276))) % 33.84/35.75 (step @p453 :rule trans :premises (@p452 @p451)) % 33.84/35.75 (step @p454 :rule eq-symm :args (@t73 tptp.k1_xboole_0)) % 33.84/35.75 (step @p455 :rule cong :premises (@p454) :args (@t74)) % 33.84/35.75 (step @p456 :rule refl :args (@t75)) % 33.84/35.75 (step @p457 :rule refl :args (@t76)) % 33.84/35.75 (step @p458 :rule nary_cong :premises (@p457 @p456 @p455) :args (@t77)) % 33.84/35.75 (step @p459 :rule cong :premises (@p458) :args (@t79)) % 33.84/35.75 (step @p460 :rule trans :premises (@p459 @p453)) % 33.84/35.75 (step @p461 :rule refl :args (@t80)) % 33.84/35.75 (step @p462 :rule cong :premises (@p461 @p460) :args (@t81)) % 33.84/35.75 (step @p463 :rule refl :args (@t85)) % 33.84/35.75 (step @p464 :rule cong :premises (@p463 @p462) :args (@t86)) % 33.84/35.75 (step @p465 :rule cong :premises (@p464) :args (@t87)) % 33.84/35.75 (step @p466 :rule trans :premises (@p465 @p418)) % 33.84/35.75 (step @p467 :rule eq_resolve :premises (@p30 @p466)) % 33.84/35.75 (step @p468 :rule instantiate :premises (@p467) :args ((@list @t180 @t123 @t122))) % 33.84/35.75 (step @p469 :rule cnf_or_pos :args (@t281)) % 33.84/35.75 (step @p470 :rule reordering :premises (@p469) :args ((or @t133 @t130 @t280 (not @t281)))) % 33.84/35.75 (step @p471 :rule chain_m_resolution :premises (@p470 @p151 @p149 @p468) :args (@t280 @t168 (@list @t133 @t129 @t281))) % 33.84/35.75 (step @p472 :rule cnf_equiv_pos2 :args (@t280)) % 33.84/35.75 (step @p473 :rule reordering :premises (@p472) :args ((or @t241 (not @t279) (not @t280)))) % 33.84/35.75 (step @p474 :rule bool-double-not-elim :args (@t277)) % 33.84/35.75 (step @p475 :rule refl :args (@t282)) % 33.84/35.75 (step @p476 :rule refl :args (@t279)) % 33.84/35.75 (step @p477 :rule nary_cong :premises (@p476 @p475 @p474) :args ((or @t279 @t282 (not @t278)))) % 33.84/35.75 (step @p478 :rule cnf_and_neg :args (@t279)) % 33.84/35.75 (step @p479 :rule eq_resolve :premises (@p478 @p477)) % 33.84/35.75 (step @p480 :rule reordering :premises (@p479) :args ((or @t277 @t279 @t282))) % 33.84/35.75 (step @p481 :rule refl :args (@t278)) % 33.84/35.75 (step @p482 :rule bool-double-not-elim :args (@t253)) % 33.84/35.75 (step @p483 :rule refl :args (@t283)) % 33.84/35.75 (step @p484 :rule nary_cong :premises (@p483 @p482 @p481) :args ((or @t283 (not @t254) @t278))) % 33.84/35.75 (assume-push @p605 @t68) % 33.84/35.75 (assume-push @p606 @t277) % 33.84/35.75 (assume-push @p607 @t254) % 33.84/35.75 (step @p488 :rule evaluate :args (@t284)) % 33.84/35.75 (step @p489 :rule true_intro :premises (@p26)) % 33.84/35.75 (step @p490 :rule symm :premises (@p606)) % 33.84/35.75 (step @p491 :rule cong :premises (@p490) :args (@t253)) % 33.84/35.75 (step @p492 :rule false_intro :premises (@p607)) % 33.84/35.75 (step @p493 :rule symm :premises (@p492)) % 33.84/35.75 (step @p494 :rule trans :premises (@p493 @p491 @p489)) % 33.84/35.75 (step @p495 false :rule eq_resolve :premises (@p494 @p488)) % 33.84/35.75 (step-pop @p608 :rule scope :premises (@p495)) % 33.84/35.75 (step-pop @p609 :rule scope :premises (@p608)) % 33.84/35.75 (step-pop @p610 :rule scope :premises (@p609)) % 33.84/35.75 (step @p496 :rule process_scope :premises (@p610) :args (false)) % 33.84/35.75 (assume-push @p611 @t68) % 33.84/35.75 (assume-push @p612 @t254) % 33.84/35.75 (assume-push @p613 @t277) % 33.84/35.75 (step @p503 :rule and_intro :premises (@p26 @p613 @p612)) % 33.84/35.75 (step-pop @p614 :rule scope :premises (@p503)) % 33.84/35.75 (step-pop @p615 :rule scope :premises (@p614)) % 33.84/35.75 (step-pop @p616 :rule scope :premises (@p615)) % 33.84/35.75 (step @p504 :rule process_scope :premises (@p616) :args (@t285)) % 33.84/35.75 (step @p508 :rule implies_elim :premises (@p504)) % 33.84/35.75 (step @p509 :rule resolution :premises (@p508 @p496) :args (true @t285)) % 33.84/35.75 (step @p510 :rule not_and :premises (@p509)) % 33.84/35.75 (step @p511 :rule eq_resolve :premises (@p510 @p484)) % 33.84/35.75 (step @p512 :rule chain_m_resolution :premises (@p511 @p26 @p480 @p473 @p471 @p400 @p398 @p374 @p232 @p355 @p329 @p252 @p232 @p197 @p195 @p191 @p190) :args (@t184 (@list false false true false true false false false true false false false false false true false) (@list @t68 @t277 @t279 @t280 @t253 @t256 @t246 @t198 @t241 @t236 @t204 @t198 @t185 @t186 @t182 @t181))) % 33.84/35.75 (step @p513 :rule refl :args (@t286)) % 33.84/35.75 (step @p514 :rule bool-double-not-elim :args (@t179)) % 33.84/35.75 (step @p515 :rule nary_cong :premises (@p514 @p513) :args ((or (not @t287) @t286))) % 33.84/35.75 (assume-push @p617 @t287) % 33.84/35.75 (step @p517 :rule skolemize :premises (@p617)) % 33.84/35.75 (step-pop @p618 :rule scope :premises (@p517)) % 33.84/35.75 (step @p518 :rule process_scope :premises (@p618) :args (@t286)) % 33.84/35.75 (step @p520 :rule implies_elim :premises (@p518)) % 33.84/35.75 (step @p521 :rule eq_resolve :premises (@p520 @p515)) % 33.84/35.75 (step @p522 :rule chain_m_resolution :premises (@p521 @p512) :args (@t179 @t196 (@list @t184))) % 33.84/35.75 (step @p523 :rule cnf_equiv_pos2 :args (@t289)) % 33.84/35.75 (step @p524 :rule reordering :premises (@p523) :args ((or @t288 @t287 (not @t289)))) % 33.84/35.75 (step @p525 :rule chain_m_resolution :premises (@p524 @p522 @p184) :args (@t288 @t194 (@list @t179 @t289))) % 33.84/35.75 (step @p526 :rule cnf_or_pos :args (@t292)) % 33.84/35.75 (step @p527 :rule reordering :premises (@p526) :args ((or @t201 @t291 @t290 (not @t292)))) % 33.84/35.75 (step @p528 :rule chain_m_resolution :premises (@p527 @p226 @p525 @p177) :args (@t290 @t203 (@list @t191 @t288 @t292))) % 33.84/35.75 (step @p529 :rule refl :args (@t293)) % 33.84/35.75 (step @p530 :rule refl :args (@t294)) % 33.84/35.75 (step @p531 :rule refl :args (@t295)) % 33.84/35.75 (step @p532 :rule bool-double-not-elim :args (@t128)) % 33.84/35.75 (step @p533 :rule nary_cong :premises (@p532 @p531 @p530 @p529) :args ((or (not @t135) @t295 @t294 @t293))) % 33.84/35.75 (assume-push @p619 @t166) % 33.84/35.75 (assume-push @p620 @t290) % 33.84/35.75 (assume-push @p621 @t296) % 33.84/35.75 (assume-push @p622 @t135) % 33.84/35.75 (step @p488 :rule evaluate :args (@t284)) % 33.84/35.75 (step @p538 :rule symm :premises (@p620)) % 33.84/35.75 (step @p539 :rule symm :premises (@p621)) % 33.84/35.75 (step @p540 :rule trans :premises (@p539 @p538 @p155)) % 33.84/35.75 (step @p541 :rule symm :premises (@p540)) % 33.84/35.75 (step @p542 :rule trans :premises (@p155 @p541)) % 33.84/35.75 (step @p543 :rule true_intro :premises (@p542)) % 33.84/35.75 (step @p544 :rule false_intro :premises (@p94)) % 33.84/35.75 (step @p545 :rule symm :premises (@p544)) % 33.84/35.75 (step @p546 :rule trans :premises (@p545 @p543)) % 33.84/35.75 (step @p547 false :rule eq_resolve :premises (@p546 @p488)) % 33.84/35.76 (step-pop @p623 :rule scope :premises (@p547)) % 33.84/35.76 (step-pop @p624 :rule scope :premises (@p623)) % 33.84/35.76 (step-pop @p625 :rule scope :premises (@p624)) % 33.84/35.76 (step-pop @p626 :rule scope :premises (@p625)) % 33.84/35.76 (step @p548 :rule process_scope :premises (@p626) :args (false)) % 33.84/35.76 (assume-push @p627 @t135) % 33.84/35.76 (assume-push @p628 @t166) % 33.84/35.76 (assume-push @p629 @t290) % 33.84/35.76 (assume-push @p630 @t170) % 33.84/35.76 (assume-push @p631 @t290) % 33.84/35.76 (assume-push @p632 @t170) % 33.84/35.76 (step @p559 :rule refl :args (@t126)) % 33.84/35.76 (step @p560 :rule cong :premises (@p559 @p629) :args (@t169)) % 33.84/35.76 (step @p561 :rule symm :premises (@p629)) % 33.84/35.76 (step @p562 :rule trans :premises (@p561 @p160 @p560)) % 33.84/35.76 (step-pop @p633 :rule scope :premises (@p562)) % 33.84/35.76 (step-pop @p634 :rule scope :premises (@p633)) % 33.84/35.76 (step @p563 :rule process_scope :premises (@p634) :args (@t296)) % 33.84/35.76 (step @p566 :rule and_intro :premises (@p629 @p160)) % 33.84/35.76 (step @p567 :rule modus_ponens :premises (@p566 @p563)) % 33.84/35.76 (step @p568 :rule and_intro :premises (@p155 @p629 @p567 @p94)) % 33.84/35.76 (step-pop @p635 :rule scope :premises (@p568)) % 33.84/35.76 (step-pop @p636 :rule scope :premises (@p635)) % 33.84/35.76 (step-pop @p637 :rule scope :premises (@p636)) % 33.84/35.76 (step-pop @p638 :rule scope :premises (@p637)) % 33.84/35.76 (step @p569 :rule process_scope :premises (@p638) :args (@t297)) % 33.84/35.76 (step @p574 :rule implies_elim :premises (@p569)) % 33.84/35.76 (step @p575 :rule resolution :premises (@p574 @p548) :args (true @t297)) % 33.84/35.76 (step @p576 :rule not_and :premises (@p575)) % 33.84/35.76 (step @p577 :rule eq_resolve :premises (@p576 @p533)) % 33.84/35.76 (step @p578 false :rule chain_m_resolution :premises (@p577 @p528 @p160 @p155 @p94) :args (false (@list false false false true) (@list @t290 @t170 @t166 @t128))) % 33.84/35.76 ) % 33.84/35.76 % SZS output end Proof % 33.84/35.76 % cvc5 exiting %------------------------------------------------------------------------------