%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP006_2 : TPTP v9.2.1. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:24:26 AM UTC 2026 % Result : Theorem 128.74s 128.99s % Output : Proof 128.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP006_2 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 : Tue Jun 2 03:40:25 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 128.74/128.99 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 128.74/128.99 --- Run --no-e-matching --full-saturate-quant at 6... % 128.74/128.99 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 128.74/128.99 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 128.74/128.99 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 128.74/128.99 --- Run --trigger-sel=max --full-saturate-quant at 15... % 128.74/128.99 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 128.74/128.99 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 128.74/128.99 --- Run --prenex-quant=none --full-saturate-quant at 30... % 128.74/128.99 % SZS status Theorem % 128.74/128.99 % SZS output start Proof % 128.74/128.99 ( % 128.74/128.99 (declare-sort tptp.tp__o 0) % 128.74/128.99 (declare-sort tptp.del 0) % 128.74/128.99 (declare-sort $$unsorted 0) % 128.74/128.99 (declare-const tptp.fo__c_2Ebool_2ET tptp.tp__o) % 128.74/128.99 (declare-const tptp.fo__c_2Ebool_2EF tptp.tp__o) % 128.74/128.99 (declare-const tptp.c_2Ebool_2ET $$unsorted) % 128.74/128.99 (declare-const tptp.c_2Ebool_2EF $$unsorted) % 128.74/128.99 (declare-const tptp.surj__o (-> $$unsorted tptp.tp__o)) % 128.74/128.99 (declare-const tptp.c_2Ebool_2E_21 (-> tptp.del $$unsorted)) % 128.74/128.99 (declare-const tptp.inj__o (-> tptp.tp__o $$unsorted)) % 128.74/128.99 (declare-const tptp.i (-> tptp.del $$unsorted)) % 128.74/128.99 (declare-const tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP (-> tptp.del tptp.del $$unsorted)) % 128.74/128.99 (declare-const tptp.k (-> tptp.del $$unsorted $$unsorted)) % 128.74/128.99 (declare-const tptp.fo__c_2Ebool_2E_5C_2F (-> tptp.tp__o tptp.tp__o tptp.tp__o)) % 128.74/128.99 (declare-const tptp.fo__c_2Ebool_2E_7E (-> tptp.tp__o tptp.tp__o)) % 128.74/128.99 (declare-const tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP (-> tptp.del tptp.del $$unsorted)) % 128.74/128.99 (declare-const tptp.arr (-> tptp.del tptp.del tptp.del)) % 128.74/128.99 (declare-const tptp.c_2Ebool_2E_5C_2F $$unsorted) % 128.74/128.99 (declare-const tptp.bool tptp.del) % 128.74/128.99 (declare-const tptp.c_2Ebool_2E_2F_5C $$unsorted) % 128.74/128.99 (declare-const tptp.mem (-> $$unsorted tptp.del Bool)) % 128.74/128.99 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted)) % 128.74/128.99 (declare-const tptp.p (-> $$unsorted Bool)) % 128.74/128.99 (declare-const tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT (-> tptp.del tptp.del $$unsorted)) % 128.74/128.99 (declare-const tptp.c_2Emin_2E_3D (-> tptp.del $$unsorted)) % 128.74/128.99 (declare-const tptp.c_2Emin_2E_3D_3D_3E $$unsorted) % 128.74/128.99 (declare-const tptp.c_2EquantHeuristics_2EGUESS__FORALL (-> tptp.del tptp.del $$unsorted)) % 128.74/128.99 (declare-const tptp.c_2EquantHeuristics_2EGUESS__EXISTS (-> tptp.del tptp.del $$unsorted)) % 128.74/128.99 (declare-const tptp.c_2Ebool_2E_3F (-> tptp.del $$unsorted)) % 128.74/128.99 (declare-const tptp.fo__c_2Ebool_2E_2F_5C (-> tptp.tp__o tptp.tp__o tptp.tp__o)) % 128.74/128.99 (declare-const tptp.c_2Ebool_2E_7E $$unsorted) % 128.74/128.99 (declare-const tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT (-> tptp.del tptp.del $$unsorted)) % 128.74/128.99 (declare-const tptp.fo__c_2Emin_2E_3D_3D_3E (-> tptp.tp__o tptp.tp__o tptp.tp__o)) % 128.74/128.99 (define @t1 () (@var "B" tptp.del)) % 128.74/128.99 (define @t2 () (@var "X" $$unsorted)) % 128.74/128.99 (define @t3 () (@var "F" $$unsorted)) % 128.74/128.99 (define @t4 () (tptp.ap @t3 @t2)) % 128.74/128.99 (define @t5 () (tptp.mem @t4 @t1)) % 128.74/128.99 (define @t6 () (@var "A" tptp.del)) % 128.74/128.99 (define @t7 () (tptp.mem @t2 @t6)) % 128.74/128.99 (define @t8 () (@list @t2)) % 128.74/128.99 (define @t9 () (forall @t8 (=> @t7 @t5))) % 128.74/128.99 (define @t10 () (tptp.arr @t6 @t1)) % 128.74/128.99 (define @t11 () (tptp.mem @t3 @t10)) % 128.74/128.99 (define @t12 () (=> @t11 @t9)) % 128.74/128.99 (define @t13 () (@list @t6 @t1 @t3)) % 128.74/128.99 (define @t14 () (forall @t13 @t12)) % 128.74/128.99 (define @t15 () (@var "R" $$unsorted)) % 128.74/128.99 (define @t16 () (@var "Q" $$unsorted)) % 128.74/128.99 (define @t17 () (tptp.p @t15)) % 128.74/128.99 (define @t18 () (tptp.p @t16)) % 128.74/128.99 (define @t19 () (tptp.mem @t15 tptp.bool)) % 128.74/128.99 (define @t20 () (@list @t15)) % 128.74/128.99 (define @t21 () (tptp.mem @t16 tptp.bool)) % 128.74/128.99 (define @t22 () (@list @t16)) % 128.74/128.99 (define @t23 () (@var "G" $$unsorted)) % 128.74/128.99 (define @t24 () (@var "Y" $$unsorted)) % 128.74/128.99 (define @t25 () (@list @t6 @t2)) % 128.74/128.99 (define @t26 () (@var "X" tptp.tp__o)) % 128.74/128.99 (define @t27 () (tptp.inj__o @t26)) % 128.74/128.99 (define @t28 () (@list @t26)) % 128.74/128.99 (define @t29 () (@var "A_27b" tptp.del)) % 128.74/128.99 (define @t30 () (tptp.arr @t29 tptp.bool)) % 128.74/128.99 (define @t31 () (@var "A_27a" tptp.del)) % 128.74/128.99 (define @t32 () (tptp.arr @t31 @t29)) % 128.74/128.99 (define @t33 () (tptp.arr @t32 (tptp.arr @t30 tptp.bool))) % 128.74/128.99 (define @t34 () (tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP @t31 @t29)) % 128.74/128.99 (define @t35 () (@list @t31 @t29)) % 128.74/128.99 (define @t36 () (tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP @t31 @t29)) % 128.74/128.99 (define @t37 () (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT @t31 @t29)) % 128.74/128.99 (define @t38 () (tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT @t31 @t29)) % 128.74/128.99 (define @t39 () (tptp.c_2EquantHeuristics_2EGUESS__FORALL @t31 @t29)) % 128.74/128.99 (define @t40 () (tptp.arr @t31 tptp.bool)) % 128.74/128.99 (define @t41 () (tptp.arr @t40 tptp.bool)) % 128.74/128.99 (define @t42 () (@list @t31)) % 128.74/128.99 (define @t43 () (tptp.p (tptp.ap @t16 @t2))) % 128.74/128.99 (define @t44 () (tptp.mem @t16 (tptp.arr @t6 tptp.bool))) % 128.74/128.99 (define @t45 () (@list @t6 @t16)) % 128.74/128.99 (define @t46 () (tptp.c_2EquantHeuristics_2EGUESS__EXISTS @t31 @t29)) % 128.74/128.99 (define @t47 () (tptp.arr tptp.bool tptp.bool)) % 128.74/128.99 (define @t48 () (tptp.arr tptp.bool @t47)) % 128.74/128.99 (define @t49 () (@var "X1" tptp.tp__o)) % 128.74/128.99 (define @t50 () (tptp.inj__o @t49)) % 128.74/128.99 (define @t51 () (@var "X0" tptp.tp__o)) % 128.74/128.99 (define @t52 () (tptp.inj__o @t51)) % 128.74/128.99 (define @t53 () (@list @t51 @t49)) % 128.74/128.99 (define @t54 () (@var "V0t" tptp.tp__o)) % 128.74/128.99 (define @t55 () (tptp.p (tptp.inj__o @t54))) % 128.74/128.99 (define @t56 () (not @t55)) % 128.74/128.99 (define @t57 () (@list @t54)) % 128.74/128.99 (define @t58 () (forall @t57 (= (not @t56) @t55))) % 128.74/128.99 (define @t59 () (@var "V0x" $$unsorted)) % 128.74/128.99 (define @t60 () (@var "V1y" $$unsorted)) % 128.74/128.99 (define @t61 () (@var "V2t3" tptp.tp__o)) % 128.74/128.99 (define @t62 () (tptp.p (tptp.inj__o @t61))) % 128.74/128.99 (define @t63 () (@var "V1t2" tptp.tp__o)) % 128.74/128.99 (define @t64 () (tptp.p (tptp.inj__o @t63))) % 128.74/128.99 (define @t65 () (@var "V0t1" tptp.tp__o)) % 128.74/128.99 (define @t66 () (tptp.p (tptp.inj__o @t65))) % 128.74/128.99 (define @t67 () (@var "V3y_27" tptp.tp__o)) % 128.74/128.99 (define @t68 () (tptp.p (tptp.inj__o @t67))) % 128.74/128.99 (define @t69 () (@var "V1x_27" tptp.tp__o)) % 128.74/128.99 (define @t70 () (tptp.p (tptp.inj__o @t69))) % 128.74/128.99 (define @t71 () (@var "V2y" tptp.tp__o)) % 128.74/128.99 (define @t72 () (tptp.p (tptp.inj__o @t71))) % 128.74/128.99 (define @t73 () (@var "V0x" tptp.tp__o)) % 128.74/128.99 (define @t74 () (tptp.p (tptp.inj__o @t73))) % 128.74/128.99 (define @t75 () (@var "V19fv" $$unsorted)) % 128.74/128.99 (define @t76 () (@var "V16i" $$unsorted)) % 128.74/128.99 (define @t77 () (@var "V18v" $$unsorted)) % 128.74/128.99 (define @t78 () (= @t77 (tptp.ap @t76 @t75))) % 128.74/128.99 (define @t79 () (tptp.mem @t75 @t31)) % 128.74/128.99 (define @t80 () (and @t79 @t78)) % 128.74/128.99 (define @t81 () (@list @t75)) % 128.74/128.99 (define @t82 () (exists @t81 @t80)) % 128.74/128.99 (define @t83 () (@var "V17P" $$unsorted)) % 128.74/128.99 (define @t84 () (tptp.p (tptp.ap @t83 @t77))) % 128.74/128.99 (define @t85 () (not @t84)) % 128.74/128.99 (define @t86 () (=> @t85 @t82)) % 128.74/128.99 (define @t87 () (tptp.mem @t77 @t29)) % 128.74/128.99 (define @t88 () (=> @t87 @t86)) % 128.74/128.99 (define @t89 () (@list @t77)) % 128.74/128.99 (define @t90 () (forall @t89 @t88)) % 128.74/128.99 (define @t91 () (tptp.p (tptp.ap (tptp.ap @t34 @t76) @t83))) % 128.74/128.99 (define @t92 () (= @t91 @t90)) % 128.74/128.99 (define @t93 () (tptp.mem @t83 @t30)) % 128.74/128.99 (define @t94 () (=> @t93 @t92)) % 128.74/128.99 (define @t95 () (@list @t83)) % 128.74/128.99 (define @t96 () (forall @t95 @t94)) % 128.74/128.99 (define @t97 () (tptp.mem @t76 @t32)) % 128.74/128.99 (define @t98 () (=> @t97 @t96)) % 128.74/128.99 (define @t99 () (@list @t76)) % 128.74/128.99 (define @t100 () (forall @t99 @t98)) % 128.74/128.99 (define @t101 () (@var "V15fv" $$unsorted)) % 128.74/128.99 (define @t102 () (@var "V12i" $$unsorted)) % 128.74/128.99 (define @t103 () (@var "V14v" $$unsorted)) % 128.74/128.99 (define @t104 () (= @t103 (tptp.ap @t102 @t101))) % 128.74/128.99 (define @t105 () (tptp.mem @t101 @t31)) % 128.74/128.99 (define @t106 () (and @t105 @t104)) % 128.74/128.99 (define @t107 () (@list @t101)) % 128.74/128.99 (define @t108 () (exists @t107 @t106)) % 128.74/128.99 (define @t109 () (@var "V13P" $$unsorted)) % 128.74/128.99 (define @t110 () (tptp.p (tptp.ap @t109 @t103))) % 128.74/128.99 (define @t111 () (=> @t110 @t108)) % 128.74/128.99 (define @t112 () (tptp.mem @t103 @t29)) % 128.74/128.99 (define @t113 () (=> @t112 @t111)) % 128.74/128.99 (define @t114 () (@list @t103)) % 128.74/128.99 (define @t115 () (forall @t114 @t113)) % 128.74/128.99 (define @t116 () (tptp.p (tptp.ap (tptp.ap @t36 @t102) @t109))) % 128.74/128.99 (define @t117 () (= @t116 @t115)) % 128.74/128.99 (define @t118 () (tptp.mem @t109 @t30)) % 128.74/128.99 (define @t119 () (=> @t118 @t117)) % 128.74/128.99 (define @t120 () (@list @t109)) % 128.74/128.99 (define @t121 () (forall @t120 @t119)) % 128.74/128.99 (define @t122 () (tptp.mem @t102 @t32)) % 128.74/128.99 (define @t123 () (=> @t122 @t121)) % 128.74/128.99 (define @t124 () (@list @t102)) % 128.74/128.99 (define @t125 () (forall @t124 @t123)) % 128.74/128.99 (define @t126 () (@var "V11fv" $$unsorted)) % 128.74/128.99 (define @t127 () (@var "V9i" $$unsorted)) % 128.74/128.99 (define @t128 () (@var "V10P" $$unsorted)) % 128.74/128.99 (define @t129 () (not (tptp.p (tptp.ap @t128 (tptp.ap @t127 @t126))))) % 128.74/128.99 (define @t130 () (tptp.mem @t126 @t31)) % 128.74/128.99 (define @t131 () (@list @t126)) % 128.74/128.99 (define @t132 () (forall @t131 (=> @t130 @t129))) % 128.74/128.99 (define @t133 () (tptp.p (tptp.ap (tptp.ap @t37 @t127) @t128))) % 128.74/128.99 (define @t134 () (= @t133 @t132)) % 128.74/128.99 (define @t135 () (tptp.mem @t128 @t30)) % 128.74/128.99 (define @t136 () (=> @t135 @t134)) % 128.74/128.99 (define @t137 () (@list @t128)) % 128.74/128.99 (define @t138 () (forall @t137 @t136)) % 128.74/128.99 (define @t139 () (tptp.mem @t127 @t32)) % 128.74/128.99 (define @t140 () (=> @t139 @t138)) % 128.74/128.99 (define @t141 () (@list @t127)) % 128.74/128.99 (define @t142 () (forall @t141 @t140)) % 128.74/128.99 (define @t143 () (@var "V8fv" $$unsorted)) % 128.74/128.99 (define @t144 () (@var "V6i" $$unsorted)) % 128.74/128.99 (define @t145 () (@var "V7P" $$unsorted)) % 128.74/128.99 (define @t146 () (tptp.p (tptp.ap @t145 (tptp.ap @t144 @t143)))) % 128.74/128.99 (define @t147 () (tptp.mem @t143 @t31)) % 128.74/128.99 (define @t148 () (@list @t143)) % 128.74/128.99 (define @t149 () (forall @t148 (=> @t147 @t146))) % 128.74/128.99 (define @t150 () (tptp.p (tptp.ap (tptp.ap @t38 @t144) @t145))) % 128.74/128.99 (define @t151 () (= @t150 @t149)) % 128.74/128.99 (define @t152 () (tptp.mem @t145 @t30)) % 128.74/128.99 (define @t153 () (=> @t152 @t151)) % 128.74/128.99 (define @t154 () (@list @t145)) % 128.74/128.99 (define @t155 () (forall @t154 @t153)) % 128.74/128.99 (define @t156 () (tptp.mem @t144 @t32)) % 128.74/128.99 (define @t157 () (=> @t156 @t155)) % 128.74/128.99 (define @t158 () (@list @t144)) % 128.74/128.99 (define @t159 () (forall @t158 @t157)) % 128.74/128.99 (define @t160 () (@var "V5fv" $$unsorted)) % 128.74/128.99 (define @t161 () (@var "V0i" $$unsorted)) % 128.74/128.99 (define @t162 () (@var "V1P" $$unsorted)) % 128.74/128.99 (define @t163 () (tptp.p (tptp.ap @t162 (tptp.ap @t161 @t160)))) % 128.74/128.99 (define @t164 () (not @t163)) % 128.74/128.99 (define @t165 () (tptp.mem @t160 @t31)) % 128.74/128.99 (define @t166 () (and @t165 @t164)) % 128.74/128.99 (define @t167 () (@list @t160)) % 128.74/128.99 (define @t168 () (exists @t167 @t166)) % 128.74/128.99 (define @t169 () (@var "V4v" $$unsorted)) % 128.74/128.99 (define @t170 () (tptp.p (tptp.ap @t162 @t169))) % 128.74/128.99 (define @t171 () (not @t170)) % 128.74/128.99 (define @t172 () (=> @t171 @t168)) % 128.74/128.99 (define @t173 () (tptp.mem @t169 @t29)) % 128.74/128.99 (define @t174 () (=> @t173 @t172)) % 128.74/128.99 (define @t175 () (@list @t169)) % 128.74/128.99 (define @t176 () (forall @t175 @t174)) % 128.74/128.99 (define @t177 () (tptp.p (tptp.ap (tptp.ap @t39 @t161) @t162))) % 128.74/128.99 (define @t178 () (= @t177 @t176)) % 128.74/128.99 (define @t179 () (@var "V3fv" $$unsorted)) % 128.74/128.99 (define @t180 () (tptp.p (tptp.ap @t162 (tptp.ap @t161 @t179)))) % 128.74/128.99 (define @t181 () (tptp.mem @t179 @t31)) % 128.74/128.99 (define @t182 () (and @t181 @t180)) % 128.74/128.99 (define @t183 () (@list @t179)) % 128.74/128.99 (define @t184 () (exists @t183 @t182)) % 128.74/128.99 (define @t185 () (@var "V2v" $$unsorted)) % 128.74/128.99 (define @t186 () (tptp.p (tptp.ap @t162 @t185))) % 128.74/128.99 (define @t187 () (=> @t186 @t184)) % 128.74/128.99 (define @t188 () (tptp.mem @t185 @t29)) % 128.74/128.99 (define @t189 () (=> @t188 @t187)) % 128.74/128.99 (define @t190 () (@list @t185)) % 128.74/128.99 (define @t191 () (forall @t190 @t189)) % 128.74/128.99 (define @t192 () (tptp.p (tptp.ap (tptp.ap @t46 @t161) @t162))) % 128.74/128.99 (define @t193 () (= @t192 @t191)) % 128.74/128.99 (define @t194 () (and @t193 @t178 @t159 @t142 @t125 @t100)) % 128.74/128.99 (define @t195 () (tptp.mem @t162 @t30)) % 128.74/128.99 (define @t196 () (=> @t195 @t194)) % 128.74/128.99 (define @t197 () (@list @t162)) % 128.74/128.99 (define @t198 () (forall @t197 @t196)) % 128.74/128.99 (define @t199 () (tptp.mem @t161 @t32)) % 128.74/128.99 (define @t200 () (=> @t199 @t198)) % 128.74/128.99 (define @t201 () (@list @t31 @t29 @t161)) % 128.74/128.99 (define @t202 () (forall @t201 @t200)) % 128.74/128.99 (define @t203 () (@var "V0A" tptp.tp__o)) % 128.74/128.99 (define @t204 () (tptp.p (tptp.inj__o @t203))) % 128.74/128.99 (define @t205 () (not @t204)) % 128.74/128.99 (define @t206 () (=> @t205 false)) % 128.74/128.99 (define @t207 () (@list @t203)) % 128.74/128.99 (define @t208 () (@var "V1B" tptp.tp__o)) % 128.74/128.99 (define @t209 () (tptp.p (tptp.inj__o @t208))) % 128.74/128.99 (define @t210 () (=> (not @t209) false)) % 128.74/128.99 (define @t211 () (=> @t204 false)) % 128.74/128.99 (define @t212 () (@list @t203 @t208)) % 128.74/128.99 (define @t213 () (@var "V0p" tptp.tp__o)) % 128.74/128.99 (define @t214 () (tptp.p (tptp.inj__o @t213))) % 128.74/128.99 (define @t215 () (not @t214)) % 128.74/128.99 (define @t216 () (@var "V1q" tptp.tp__o)) % 128.74/128.99 (define @t217 () (tptp.p (tptp.inj__o @t216))) % 128.74/128.99 (define @t218 () (not @t217)) % 128.74/128.99 (define @t219 () (@var "V2r" tptp.tp__o)) % 128.74/128.99 (define @t220 () (tptp.p (tptp.inj__o @t219))) % 128.74/128.99 (define @t221 () (not @t220)) % 128.74/128.99 (define @t222 () (@list @t213 @t216 @t219)) % 128.74/128.99 (define @t223 () (or @t214 @t221)) % 128.74/128.99 (define @t224 () (or @t214 @t217)) % 128.74/128.99 (define @t225 () (@list @t213 @t216)) % 128.74/128.99 (define @t226 () (not (=> @t214 @t217))) % 128.74/128.99 (define @t227 () (@var "V2Q" $$unsorted)) % 128.74/128.99 (define @t228 () (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT @t29 @t31) @t161)) % 128.74/128.99 (define @t229 () (tptp.p (tptp.ap @t228 @t227))) % 128.74/128.99 (define @t230 () (tptp.p (tptp.ap @t228 @t162))) % 128.74/128.99 (define @t231 () (=> @t230 @t229)) % 128.74/128.99 (define @t232 () (@var "V3x" $$unsorted)) % 128.74/128.99 (define @t233 () (tptp.p (tptp.ap @t162 @t232))) % 128.74/128.99 (define @t234 () (tptp.p (tptp.ap @t227 @t232))) % 128.74/128.99 (define @t235 () (=> @t234 @t233)) % 128.74/128.99 (define @t236 () (tptp.mem @t232 @t31)) % 128.74/128.99 (define @t237 () (@list @t232)) % 128.74/128.99 (define @t238 () (forall @t237 (=> @t236 @t235))) % 128.74/128.99 (define @t239 () (=> @t238 @t231)) % 128.74/128.99 (define @t240 () (tptp.mem @t227 @t40)) % 128.74/128.99 (define @t241 () (=> @t240 @t239)) % 128.74/128.99 (define @t242 () (@list @t227)) % 128.74/128.99 (define @t243 () (forall @t242 @t241)) % 128.74/128.99 (define @t244 () (tptp.mem @t162 @t40)) % 128.74/128.99 (define @t245 () (=> @t244 @t243)) % 128.74/128.99 (define @t246 () (forall @t197 @t245)) % 128.74/128.99 (define @t247 () (tptp.mem @t161 (tptp.arr @t29 @t31))) % 128.74/128.99 (define @t248 () (=> @t247 @t246)) % 128.74/128.99 (define @t249 () (forall @t201 @t248)) % 128.74/128.99 (define @t250 () (not @t249)) % 128.74/128.99 (define @t251 () (not @t78)) % 128.74/128.99 (define @t252 () (not (forall @t81 (or (not @t79) @t251)))) % 128.74/128.99 (define @t253 () (not @t87)) % 128.74/128.99 (define @t254 () (or @t253 @t84 @t252)) % 128.74/128.99 (define @t255 () (= @t91 (forall @t89 @t254))) % 128.74/128.99 (define @t256 () (forall @t95 (or (not @t93) @t255))) % 128.74/128.99 (define @t257 () (not @t104)) % 128.74/128.99 (define @t258 () (not (forall @t107 (or (not @t105) @t257)))) % 128.74/128.99 (define @t259 () (not @t110)) % 128.74/128.99 (define @t260 () (not @t112)) % 128.74/128.99 (define @t261 () (or @t260 @t259 @t258)) % 128.74/128.99 (define @t262 () (= @t116 (forall @t114 @t261))) % 128.74/128.99 (define @t263 () (forall @t120 (or (not @t118) @t262))) % 128.74/128.99 (define @t264 () (= @t133 (forall @t131 (or (not @t130) @t129)))) % 128.74/128.99 (define @t265 () (forall @t137 (or (not @t135) @t264))) % 128.74/128.99 (define @t266 () (= @t150 (forall @t148 (or (not @t147) @t146)))) % 128.74/128.99 (define @t267 () (forall @t154 (or (not @t152) @t266))) % 128.74/128.99 (define @t268 () (not @t173)) % 128.74/128.99 (define @t269 () (or @t268 @t170)) % 128.74/128.99 (define @t270 () (not @t165)) % 128.74/128.99 (define @t271 () (not (forall @t167 (or @t270 @t163)))) % 128.74/128.99 (define @t272 () (or @t271 (forall @t175 @t269))) % 128.74/128.99 (define @t273 () (not @t186)) % 128.74/128.99 (define @t274 () (not @t188)) % 128.74/128.99 (define @t275 () (or @t274 @t273)) % 128.74/128.99 (define @t276 () (not (forall @t183 (or (not @t181) (not @t180))))) % 128.74/128.99 (define @t277 () (or @t276 (forall @t190 @t275))) % 128.74/128.99 (define @t278 () (and (= @t192 @t277) (= @t177 @t272) (forall @t158 (or (not @t156) @t267)) (forall @t141 (or (not @t139) @t265)) (forall @t124 (or (not @t122) @t263)) (forall @t99 (or (not @t97) @t256)))) % 128.74/128.99 (define @t279 () (forall @t197 (or (not @t195) @t278))) % 128.74/128.99 (define @t280 () (=> @t85 @t252)) % 128.74/128.99 (define @t281 () (forall @t81 (not @t80))) % 128.74/128.99 (define @t282 () (not @t281)) % 128.74/128.99 (define @t283 () (=> @t110 @t258)) % 128.74/128.99 (define @t284 () (forall @t107 (not @t106))) % 128.74/128.99 (define @t285 () (not @t284)) % 128.74/128.99 (define @t286 () (or @t271 @t269)) % 128.74/128.99 (define @t287 () (or @t268 @t170 @t271)) % 128.74/128.99 (define @t288 () (=> @t171 @t271)) % 128.74/128.99 (define @t289 () (forall @t167 (not @t166))) % 128.74/128.99 (define @t290 () (not @t289)) % 128.74/128.99 (define @t291 () (or @t276 @t275)) % 128.74/128.99 (define @t292 () (or @t274 @t273 @t276)) % 128.74/128.99 (define @t293 () (=> @t186 @t276)) % 128.74/128.99 (define @t294 () (forall @t183 (not @t182))) % 128.74/128.99 (define @t295 () (not @t294)) % 128.74/128.99 (define @t296 () (not @t234)) % 128.74/128.99 (define @t297 () (not @t236)) % 128.74/128.99 (define @t298 () (or @t297 @t296 @t233)) % 128.74/128.99 (define @t299 () (forall @t237 @t298)) % 128.74/128.99 (define @t300 () (not @t299)) % 128.74/128.99 (define @t301 () (not @t240)) % 128.74/128.99 (define @t302 () (or @t301 @t300 @t229)) % 128.74/128.99 (define @t303 () (forall @t242 @t302)) % 128.74/128.99 (define @t304 () (not @t230)) % 128.74/128.99 (define @t305 () (not @t244)) % 128.74/128.99 (define @t306 () (or @t305 @t304 @t303)) % 128.74/128.99 (define @t307 () (forall @t197 @t306)) % 128.74/128.99 (define @t308 () (forall @t201 (or (not @t247) @t307))) % 128.74/128.99 (define @t309 () (@quantifiers_skolemize @t308 2)) % 128.74/128.99 (define @t310 () (@quantifiers_skolemize @t308 0)) % 128.74/128.99 (define @t311 () (@quantifiers_skolemize @t308 1)) % 128.74/128.99 (define @t312 () (@list @t311 @t310 @t309)) % 128.74/128.99 (define @t313 () (or @t304 @t303)) % 128.74/128.99 (define @t314 () (or @t304 @t302)) % 128.74/128.99 (define @t315 () (or @t301 @t300 @t304 @t229)) % 128.74/128.99 (define @t316 () (or @t300 @t304 @t229)) % 128.74/128.99 (define @t317 () (=> @t299 @t231)) % 128.74/128.99 (define @t318 () (tptp.arr @t311 @t310)) % 128.74/128.99 (define @t319 () (tptp.mem @t309 @t318)) % 128.74/128.99 (define @t320 () (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT @t311 @t310)) % 128.74/128.99 (define @t321 () (tptp.ap @t320 @t309)) % 128.74/128.99 (define @t322 () (tptp.p (tptp.ap @t321 @t227))) % 128.74/128.99 (define @t323 () (not (tptp.mem @t232 @t310))) % 128.74/128.99 (define @t324 () (tptp.arr @t310 tptp.bool)) % 128.74/128.99 (define @t325 () (not (tptp.mem @t227 @t324))) % 128.74/128.99 (define @t326 () (not (tptp.mem @t162 @t324))) % 128.74/128.99 (define @t327 () (forall @t197 (or @t326 (not (tptp.p (tptp.ap @t321 @t162))) (forall @t242 (or @t325 (not (forall @t237 (or @t323 @t296 @t233))) @t322))))) % 128.74/128.99 (define @t328 () (not @t319)) % 128.74/128.99 (define @t329 () (or @t328 @t327)) % 128.74/128.99 (define @t330 () (@list true)) % 128.74/128.99 (define @t331 () (@list @t329)) % 128.74/128.99 (define @t332 () (forall @t99 (or (not (tptp.mem @t76 @t318)) (forall @t95 (or (not (tptp.mem @t83 @t324)) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP @t311 @t310) @t76) @t83)) (forall @t89 (or (not (tptp.mem @t77 @t310)) @t84 (not (forall @t81 (or (not (tptp.mem @t75 @t311)) @t251))))))))))) % 128.74/128.99 (define @t333 () (forall @t124 (or (not (tptp.mem @t102 @t318)) (forall @t120 (or (not (tptp.mem @t109 @t324)) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP @t311 @t310) @t102) @t109)) (forall @t114 (or (not (tptp.mem @t103 @t310)) @t259 (not (forall @t107 (or (not (tptp.mem @t101 @t311)) @t257))))))))))) % 128.74/128.99 (define @t334 () (not (tptp.mem @t126 @t311))) % 128.74/128.99 (define @t335 () (not (tptp.mem @t128 @t324))) % 128.74/128.99 (define @t336 () (forall @t141 (or (not (tptp.mem @t127 @t318)) (forall @t137 (or @t335 (= (tptp.p (tptp.ap (tptp.ap @t320 @t127) @t128)) (forall @t131 (or @t334 @t129)))))))) % 128.74/128.99 (define @t337 () (forall @t158 (or (not (tptp.mem @t144 @t318)) (forall @t154 (or (not (tptp.mem @t145 @t324)) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT @t311 @t310) @t144) @t145)) (forall @t148 (or (not (tptp.mem @t143 @t311)) @t146)))))))) % 128.74/128.99 (define @t338 () (not (tptp.mem @t169 @t310))) % 128.74/128.99 (define @t339 () (tptp.ap @t309 @t160)) % 128.74/128.99 (define @t340 () (not (tptp.mem @t160 @t311))) % 128.74/128.99 (define @t341 () (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__FORALL @t311 @t310) @t309)) % 128.74/128.99 (define @t342 () (not (tptp.mem @t185 @t310))) % 128.74/128.99 (define @t343 () (tptp.ap @t309 @t179)) % 128.74/128.99 (define @t344 () (not (tptp.mem @t179 @t311))) % 128.74/128.99 (define @t345 () (tptp.ap (tptp.c_2EquantHeuristics_2EGUESS__EXISTS @t311 @t310) @t309)) % 128.74/128.99 (define @t346 () (forall @t197 (or @t326 (and (= (tptp.p (tptp.ap @t345 @t162)) (or (not (forall @t183 (or @t344 (not (tptp.p (tptp.ap @t162 @t343)))))) (forall @t190 (or @t342 @t273)))) (= (tptp.p (tptp.ap @t341 @t162)) (or (not (forall @t167 (or @t340 (tptp.p (tptp.ap @t162 @t339))))) (forall @t175 (or @t338 @t170)))) @t337 @t336 @t333 @t332)))) % 128.74/128.99 (define @t347 () (or @t328 @t346)) % 128.74/128.99 (define @t348 () (@list false false)) % 128.74/128.99 (define @t349 () (@quantifiers_skolemize @t327 0)) % 128.74/128.99 (define @t350 () (@list @t349)) % 128.74/128.99 (define @t351 () (tptp.mem @t349 @t324)) % 128.74/128.99 (define @t352 () (tptp.p (tptp.ap @t349 @t232))) % 128.74/128.99 (define @t353 () (forall @t242 (or @t325 (not (forall @t237 (or @t323 @t296 @t352))) @t322))) % 128.74/128.99 (define @t354 () (tptp.p (tptp.ap @t321 @t349))) % 128.74/128.99 (define @t355 () (not @t354)) % 128.74/128.99 (define @t356 () (not @t351)) % 128.74/128.99 (define @t357 () (or @t356 @t355 @t353)) % 128.74/128.99 (define @t358 () (@list @t357)) % 128.74/128.99 (define @t359 () (forall @t183 (or @t344 (not (tptp.p (tptp.ap @t349 @t343)))))) % 128.74/128.99 (define @t360 () (and (= (tptp.p (tptp.ap @t345 @t349)) (or (not @t359) (forall @t190 (or @t342 (not (tptp.p (tptp.ap @t349 @t185))))))) (= (tptp.p (tptp.ap @t341 @t349)) (or (not (forall @t167 (or @t340 (tptp.p (tptp.ap @t349 @t339))))) (forall @t175 (or @t338 (tptp.p (tptp.ap @t349 @t169)))))) @t337 @t336 @t333 @t332)) % 128.74/128.99 (define @t361 () (or @t356 @t360)) % 128.74/128.99 (define @t362 () (@list false)) % 128.74/128.99 (define @t363 () (tptp.ap @t309 @t126)) % 128.74/128.99 (define @t364 () (forall @t137 (or @t335 (= (tptp.p (tptp.ap @t321 @t128)) (forall @t131 (or @t334 (not (tptp.p (tptp.ap @t128 @t363))))))))) % 128.74/128.99 (define @t365 () (or @t328 @t364)) % 128.74/128.99 (define @t366 () (@quantifiers_skolemize @t353 0)) % 128.74/128.99 (define @t367 () (tptp.mem @t366 @t324)) % 128.74/128.99 (define @t368 () (tptp.p (tptp.ap @t321 @t366))) % 128.74/128.99 (define @t369 () (forall @t237 (or @t323 (not (tptp.p (tptp.ap @t366 @t232))) @t352))) % 128.74/128.99 (define @t370 () (not @t369)) % 128.74/128.99 (define @t371 () (not @t367)) % 128.74/128.99 (define @t372 () (or @t371 @t370 @t368)) % 128.74/128.99 (define @t373 () (@list @t372)) % 128.74/128.99 (define @t374 () (forall @t131 (or @t334 (not (tptp.p (tptp.ap @t366 @t363)))))) % 128.74/128.99 (define @t375 () (= @t368 @t374)) % 128.74/128.99 (define @t376 () (or @t371 @t375)) % 128.74/128.99 (define @t377 () (not @t374)) % 128.74/128.99 (define @t378 () (forall @t183 (or @t344 (not (tptp.p (tptp.ap @t366 @t343)))))) % 128.74/128.99 (define @t379 () (@list @t179)) % 128.74/128.99 (define @t380 () (@list @t126)) % 128.74/128.99 (define @t381 () (@quantifiers_skolemize @t378 0)) % 128.74/128.99 (define @t382 () (tptp.ap @t309 @t381)) % 128.74/128.99 (define @t383 () (tptp.p (tptp.ap @t366 @t382))) % 128.74/128.99 (define @t384 () (not @t383)) % 128.74/128.99 (define @t385 () (tptp.mem @t381 @t311)) % 128.74/128.99 (define @t386 () (not @t385)) % 128.74/128.99 (define @t387 () (or @t386 @t384)) % 128.74/128.99 (define @t388 () (@list @t387)) % 128.74/128.99 (define @t389 () (forall @t8 (or (not @t7) @t5))) % 128.74/128.99 (define @t390 () (forall @t8 (or (not (tptp.mem @t2 @t311)) (tptp.mem (tptp.ap @t309 @t2) @t310)))) % 128.74/128.99 (define @t391 () (or @t328 @t390)) % 128.74/128.99 (define @t392 () (@list @t381)) % 128.74/128.99 (define @t393 () (tptp.mem @t382 @t310)) % 128.74/128.99 (define @t394 () (or @t386 @t393)) % 128.74/128.99 (define @t395 () (forall @t131 (or @t334 (not (tptp.p (tptp.ap @t349 @t363)))))) % 128.74/128.99 (define @t396 () (= @t354 @t395)) % 128.74/128.99 (define @t397 () (or @t356 @t396)) % 128.74/128.99 (define @t398 () (tptp.p (tptp.ap @t349 @t382))) % 128.74/128.99 (define @t399 () (not @t398)) % 128.74/128.99 (define @t400 () (or @t386 @t399)) % 128.74/128.99 (define @t401 () (not @t393)) % 128.74/128.99 (define @t402 () (or @t401 @t384 @t398)) % 128.74/128.99 (assume @p1 @t14) % 128.74/128.99 (assume @p2 (forall @t22 (=> @t21 (forall @t20 (=> @t19 (=> (= @t18 @t17) (= @t16 @t15))))))) % 128.74/128.99 (assume @p3 (forall @t13 (=> @t11 (forall (@list @t23) (=> (tptp.mem @t23 @t10) (=> (forall @t8 (=> @t7 (= @t4 (tptp.ap @t23 @t2)))) (= @t3 @t23))))))) % 128.74/128.99 (assume @p4 (forall (@list @t6 @t24 @t2) (=> @t7 (= (tptp.ap (tptp.k @t6 @t24) @t2) @t24)))) % 128.74/128.99 (assume @p5 (forall @t25 (=> @t7 (= (tptp.ap (tptp.i @t6) @t2) @t2)))) % 128.74/128.99 (assume @p6 (forall @t28 (= (tptp.surj__o @t27) @t26))) % 128.74/128.99 (assume @p7 (forall @t28 (tptp.mem @t27 tptp.bool))) % 128.74/128.99 (assume @p8 (forall @t8 (=> (tptp.mem @t2 tptp.bool) (= @t2 (tptp.inj__o (tptp.surj__o @t2)))))) % 128.74/128.99 (assume @p9 (tptp.mem tptp.c_2Ebool_2ET tptp.bool)) % 128.74/128.99 (assume @p10 (= (tptp.inj__o tptp.fo__c_2Ebool_2ET) tptp.c_2Ebool_2ET)) % 128.74/128.99 (assume @p11 (tptp.p tptp.c_2Ebool_2ET)) % 128.74/128.99 (assume @p12 (forall @t35 (tptp.mem @t34 @t33))) % 128.74/128.99 (assume @p13 (forall @t35 (tptp.mem @t36 @t33))) % 128.74/128.99 (assume @p14 (forall @t35 (tptp.mem @t37 @t33))) % 128.74/128.99 (assume @p15 (forall @t35 (tptp.mem @t38 @t33))) % 128.74/128.99 (assume @p16 (forall @t35 (tptp.mem @t39 @t33))) % 128.74/128.99 (assume @p17 (forall @t42 (tptp.mem (tptp.c_2Ebool_2E_3F @t31) @t41))) % 128.74/128.99 (assume @p18 (forall @t45 (=> @t44 (= (tptp.p (tptp.ap (tptp.c_2Ebool_2E_3F @t6) @t16)) (exists @t8 (and @t7 @t43)))))) % 128.74/128.99 (assume @p19 (forall @t35 (tptp.mem @t46 @t33))) % 128.74/128.99 (assume @p20 (tptp.mem tptp.c_2Ebool_2EF tptp.bool)) % 128.74/128.99 (assume @p21 (= (tptp.inj__o tptp.fo__c_2Ebool_2EF) tptp.c_2Ebool_2EF)) % 128.74/128.99 (assume @p22 (not (tptp.p tptp.c_2Ebool_2EF))) % 128.74/128.99 (assume @p23 (tptp.mem tptp.c_2Ebool_2E_5C_2F @t48)) % 128.74/128.99 (assume @p24 (forall @t53 (= (tptp.inj__o (tptp.fo__c_2Ebool_2E_5C_2F @t51 @t49)) (tptp.ap (tptp.ap tptp.c_2Ebool_2E_5C_2F @t52) @t50)))) % 128.74/128.99 (assume @p25 (forall @t22 (=> @t21 (forall @t20 (=> @t19 (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Ebool_2E_5C_2F @t16) @t15)) (or @t18 @t17))))))) % 128.74/128.99 (assume @p26 (tptp.mem tptp.c_2Ebool_2E_2F_5C @t48)) % 128.74/128.99 (assume @p27 (forall @t53 (= (tptp.inj__o (tptp.fo__c_2Ebool_2E_2F_5C @t51 @t49)) (tptp.ap (tptp.ap tptp.c_2Ebool_2E_2F_5C @t52) @t50)))) % 128.74/128.99 (assume @p28 (forall @t22 (=> @t21 (forall @t20 (=> @t19 (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Ebool_2E_2F_5C @t16) @t15)) (and @t18 @t17))))))) % 128.74/128.99 (assume @p29 (forall @t42 (tptp.mem (tptp.c_2Emin_2E_3D @t31) (tptp.arr @t31 @t40)))) % 128.74/128.99 (assume @p30 (forall @t25 (=> @t7 (forall (@list @t24) (=> (tptp.mem @t24 @t6) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2Emin_2E_3D @t6) @t2) @t24)) (= @t2 @t24))))))) % 128.74/128.99 (assume @p31 (tptp.mem tptp.c_2Ebool_2E_7E @t47)) % 128.74/128.99 (assume @p32 (forall (@list @t51) (= (tptp.inj__o (tptp.fo__c_2Ebool_2E_7E @t51)) (tptp.ap tptp.c_2Ebool_2E_7E @t52)))) % 128.74/128.99 (assume @p33 (forall @t22 (=> @t21 (= (tptp.p (tptp.ap tptp.c_2Ebool_2E_7E @t16)) (not @t18))))) % 128.74/128.99 (assume @p34 (tptp.mem tptp.c_2Emin_2E_3D_3D_3E @t48)) % 128.74/128.99 (assume @p35 (forall @t53 (= (tptp.inj__o (tptp.fo__c_2Emin_2E_3D_3D_3E @t51 @t49)) (tptp.ap (tptp.ap tptp.c_2Emin_2E_3D_3D_3E @t52) @t50)))) % 128.74/128.99 (assume @p36 (forall @t22 (=> @t21 (forall @t20 (=> @t19 (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Emin_2E_3D_3D_3E @t16) @t15)) (=> @t18 @t17))))))) % 128.74/128.99 (assume @p37 (forall @t42 (tptp.mem (tptp.c_2Ebool_2E_21 @t31) @t41))) % 128.74/128.99 (assume @p38 (forall @t45 (=> @t44 (= (tptp.p (tptp.ap (tptp.c_2Ebool_2E_21 @t6) @t16)) (forall @t8 (=> @t7 @t43)))))) % 128.74/128.99 (assume @p39 true) % 128.74/128.99 (assume @p40 (forall @t57 (and (= (=> true @t55) @t55) (= (=> @t55 true) true) (= (=> false @t55) true) (= (=> @t55 @t55) true) (= (=> @t55 false) @t56)))) % 128.74/128.99 (assume @p41 (and @t58 (= (not true) false) (= (not false) true))) % 128.74/128.99 (assume @p42 (forall (@list @t31 @t59) (=> (tptp.mem @t59 @t31) (forall (@list @t60) (=> (tptp.mem @t60 @t31) (= (= @t59 @t60) (= @t60 @t59))))))) % 128.74/128.99 (assume @p43 (forall @t57 (and (= (= true @t55) @t55) (= (= @t55 true) @t55) (= (= false @t55) @t56) (= (= @t55 false) @t56)))) % 128.74/128.99 (assume @p44 (forall (@list @t65 @t63 @t61) (= (=> @t66 (=> @t64 @t62)) (=> (and @t66 @t64) @t62)))) % 128.74/128.99 (assume @p45 (forall (@list @t73 @t69 @t71 @t67) (=> (and (= @t74 @t70) (=> @t70 (= @t72 @t68))) (= (=> @t74 @t72) (=> @t70 @t68))))) % 128.74/128.99 (assume @p46 @t202) % 128.74/128.99 (assume @p47 @t58) % 128.74/128.99 (assume @p48 (forall @t207 (=> @t204 @t206))) % 128.74/128.99 (assume @p49 (forall @t212 (= (=> (not (or @t204 @t209)) false) (=> @t211 @t210)))) % 128.74/128.99 (assume @p50 (forall @t212 (= (=> (not (or @t205 @t209)) false) (=> @t204 @t210)))) % 128.74/128.99 (assume @p51 (forall @t207 (=> @t206 (=> @t211 false)))) % 128.74/128.99 (assume @p52 (forall @t222 (= (= @t214 (= @t217 @t220)) (and (or @t214 @t217 @t220) (or @t214 @t221 @t218) (or @t217 @t221 @t215) (or @t220 @t218 @t215))))) % 128.74/128.99 (assume @p53 (forall @t222 (= (= @t214 (or @t217 @t220)) (and (or @t214 @t218) @t223 (or @t217 @t220 @t215))))) % 128.74/128.99 (assume @p54 (forall @t222 (= (= @t214 (=> @t217 @t220)) (and @t224 @t223 (or @t218 @t220 @t215))))) % 128.74/128.99 (assume @p55 (forall @t225 (= (= @t214 @t218) (and @t224 (or @t218 @t215))))) % 128.74/128.99 (assume @p56 (forall @t225 (=> @t226 @t214))) % 128.74/128.99 (assume @p57 (forall @t225 (=> @t226 @t218))) % 128.74/128.99 (assume @p58 @t250) % 128.74/128.99 (step @p59 :rule bool-impl-elim :args (@t199 @t279)) % 128.74/128.99 (step @p60 :rule cong :premises (@p59) :args ((forall @t201 (=> @t199 @t279)))) % 128.74/128.99 (step @p61 :rule bool-impl-elim :args (@t195 @t278)) % 128.74/128.99 (step @p62 :rule cong :premises (@p61) :args ((forall @t197 (=> @t195 @t278)))) % 128.74/128.99 (step @p63 :rule bool-impl-elim :args (@t97 @t256)) % 128.74/128.99 (step @p64 :rule cong :premises (@p63) :args ((forall @t99 (=> @t97 @t256)))) % 128.74/128.99 (step @p65 :rule bool-impl-elim :args (@t93 @t255)) % 128.74/128.99 (step @p66 :rule cong :premises (@p65) :args ((forall @t95 (=> @t93 @t255)))) % 128.74/128.99 (step @p67 :rule aci_norm :args ((= (or @t253 (or @t84 @t252)) @t254))) % 128.74/128.99 (step @p68 :rule refl :args (@t252)) % 128.74/128.99 (step @p69 :rule bool-double-not-elim :args (@t84)) % 128.74/128.99 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or (not @t85) @t252))) % 128.74/128.99 (step @p71 :rule bool-impl-elim :args (@t85 @t252)) % 128.74/128.99 (step @p72 :rule trans :premises (@p71 @p70)) % 128.74/128.99 (step @p73 :rule refl :args (@t253)) % 128.74/128.99 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or @t253 @t280))) % 128.74/128.99 (step @p75 :rule trans :premises (@p74 @p67)) % 128.74/128.99 (step @p76 :rule bool-impl-elim :args (@t87 @t280)) % 128.74/128.99 (step @p77 :rule trans :premises (@p76 @p75)) % 128.74/128.99 (step @p78 :rule cong :premises (@p77) :args ((forall @t89 (=> @t87 @t280)))) % 128.74/128.99 (step @p79 :rule bool-and-de-morgan :args (@t79 @t78 true)) % 128.74/128.99 (step @p80 :rule cong :premises (@p79) :args (@t281)) % 128.74/128.99 (step @p81 :rule cong :premises (@p80) :args (@t282)) % 128.74/128.99 (step @p82 :rule exists-elim :args ((= @t82 @t282))) % 128.74/128.99 (step @p83 :rule trans :premises (@p82 @p81)) % 128.74/128.99 (step @p84 :rule refl :args (@t85)) % 128.74/128.99 (step @p85 :rule cong :premises (@p84 @p83) :args (@t86)) % 128.74/128.99 (step @p86 :rule refl :args (@t87)) % 128.74/128.99 (step @p87 :rule cong :premises (@p86 @p85) :args (@t88)) % 128.74/128.99 (step @p88 :rule cong :premises (@p87) :args (@t90)) % 128.74/128.99 (step @p89 :rule trans :premises (@p88 @p78)) % 128.74/128.99 (step @p90 :rule refl :args (@t91)) % 128.74/128.99 (step @p91 :rule cong :premises (@p90 @p89) :args (@t92)) % 128.74/128.99 (step @p92 :rule refl :args (@t93)) % 128.74/128.99 (step @p93 :rule cong :premises (@p92 @p91) :args (@t94)) % 128.74/128.99 (step @p94 :rule cong :premises (@p93) :args (@t96)) % 128.74/128.99 (step @p95 :rule trans :premises (@p94 @p66)) % 128.74/128.99 (step @p96 :rule refl :args (@t97)) % 128.74/128.99 (step @p97 :rule cong :premises (@p96 @p95) :args (@t98)) % 128.74/128.99 (step @p98 :rule cong :premises (@p97) :args (@t100)) % 128.74/128.99 (step @p99 :rule trans :premises (@p98 @p64)) % 128.74/128.99 (step @p100 :rule bool-impl-elim :args (@t122 @t263)) % 128.74/128.99 (step @p101 :rule cong :premises (@p100) :args ((forall @t124 (=> @t122 @t263)))) % 128.74/128.99 (step @p102 :rule bool-impl-elim :args (@t118 @t262)) % 128.74/128.99 (step @p103 :rule cong :premises (@p102) :args ((forall @t120 (=> @t118 @t262)))) % 128.74/128.99 (step @p104 :rule aci_norm :args ((= (or @t260 (or @t259 @t258)) @t261))) % 128.74/128.99 (step @p105 :rule bool-impl-elim :args (@t110 @t258)) % 128.74/128.99 (step @p106 :rule refl :args (@t260)) % 128.74/128.99 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or @t260 @t283))) % 128.74/128.99 (step @p108 :rule trans :premises (@p107 @p104)) % 128.74/128.99 (step @p109 :rule bool-impl-elim :args (@t112 @t283)) % 128.74/128.99 (step @p110 :rule trans :premises (@p109 @p108)) % 128.74/128.99 (step @p111 :rule cong :premises (@p110) :args ((forall @t114 (=> @t112 @t283)))) % 128.74/128.99 (step @p112 :rule bool-and-de-morgan :args (@t105 @t104 true)) % 128.74/128.99 (step @p113 :rule cong :premises (@p112) :args (@t284)) % 128.74/128.99 (step @p114 :rule cong :premises (@p113) :args (@t285)) % 128.74/128.99 (step @p115 :rule exists-elim :args ((= @t108 @t285))) % 128.74/128.99 (step @p116 :rule trans :premises (@p115 @p114)) % 128.74/128.99 (step @p117 :rule refl :args (@t110)) % 128.74/128.99 (step @p118 :rule cong :premises (@p117 @p116) :args (@t111)) % 128.74/128.99 (step @p119 :rule refl :args (@t112)) % 128.74/128.99 (step @p120 :rule cong :premises (@p119 @p118) :args (@t113)) % 128.74/128.99 (step @p121 :rule cong :premises (@p120) :args (@t115)) % 128.74/128.99 (step @p122 :rule trans :premises (@p121 @p111)) % 128.74/128.99 (step @p123 :rule refl :args (@t116)) % 128.74/128.99 (step @p124 :rule cong :premises (@p123 @p122) :args (@t117)) % 128.74/128.99 (step @p125 :rule refl :args (@t118)) % 128.74/128.99 (step @p126 :rule cong :premises (@p125 @p124) :args (@t119)) % 128.74/128.99 (step @p127 :rule cong :premises (@p126) :args (@t121)) % 128.74/128.99 (step @p128 :rule trans :premises (@p127 @p103)) % 128.74/128.99 (step @p129 :rule refl :args (@t122)) % 128.74/128.99 (step @p130 :rule cong :premises (@p129 @p128) :args (@t123)) % 128.74/128.99 (step @p131 :rule cong :premises (@p130) :args (@t125)) % 128.74/128.99 (step @p132 :rule trans :premises (@p131 @p101)) % 128.74/128.99 (step @p133 :rule bool-impl-elim :args (@t139 @t265)) % 128.74/128.99 (step @p134 :rule cong :premises (@p133) :args ((forall @t141 (=> @t139 @t265)))) % 128.74/128.99 (step @p135 :rule bool-impl-elim :args (@t135 @t264)) % 128.74/128.99 (step @p136 :rule cong :premises (@p135) :args ((forall @t137 (=> @t135 @t264)))) % 128.74/128.99 (step @p137 :rule bool-impl-elim :args (@t130 @t129)) % 128.74/128.99 (step @p138 :rule cong :premises (@p137) :args (@t132)) % 128.74/128.99 (step @p139 :rule refl :args (@t133)) % 128.74/128.99 (step @p140 :rule cong :premises (@p139 @p138) :args (@t134)) % 128.74/128.99 (step @p141 :rule refl :args (@t135)) % 128.74/128.99 (step @p142 :rule cong :premises (@p141 @p140) :args (@t136)) % 128.74/128.99 (step @p143 :rule cong :premises (@p142) :args (@t138)) % 128.74/128.99 (step @p144 :rule trans :premises (@p143 @p136)) % 128.74/128.99 (step @p145 :rule refl :args (@t139)) % 128.74/128.99 (step @p146 :rule cong :premises (@p145 @p144) :args (@t140)) % 128.74/128.99 (step @p147 :rule cong :premises (@p146) :args (@t142)) % 128.74/128.99 (step @p148 :rule trans :premises (@p147 @p134)) % 128.74/128.99 (step @p149 :rule bool-impl-elim :args (@t156 @t267)) % 128.74/128.99 (step @p150 :rule cong :premises (@p149) :args ((forall @t158 (=> @t156 @t267)))) % 128.74/128.99 (step @p151 :rule bool-impl-elim :args (@t152 @t266)) % 128.74/128.99 (step @p152 :rule cong :premises (@p151) :args ((forall @t154 (=> @t152 @t266)))) % 128.74/128.99 (step @p153 :rule bool-impl-elim :args (@t147 @t146)) % 128.74/128.99 (step @p154 :rule cong :premises (@p153) :args (@t149)) % 128.74/128.99 (step @p155 :rule refl :args (@t150)) % 128.74/128.99 (step @p156 :rule cong :premises (@p155 @p154) :args (@t151)) % 128.74/128.99 (step @p157 :rule refl :args (@t152)) % 128.74/128.99 (step @p158 :rule cong :premises (@p157 @p156) :args (@t153)) % 128.74/128.99 (step @p159 :rule cong :premises (@p158) :args (@t155)) % 128.74/128.99 (step @p160 :rule trans :premises (@p159 @p152)) % 128.74/128.99 (step @p161 :rule refl :args (@t156)) % 128.74/128.99 (step @p162 :rule cong :premises (@p161 @p160) :args (@t157)) % 128.74/128.99 (step @p163 :rule cong :premises (@p162) :args (@t159)) % 128.74/128.99 (step @p164 :rule trans :premises (@p163 @p150)) % 128.74/128.99 (step @p165 :rule quant-miniscope-or :args ((= (forall @t175 @t286) @t272))) % 128.74/128.99 (step @p166 :rule aci_norm :args ((= @t287 @t286))) % 128.74/128.99 (step @p167 :rule cong :premises (@p166) :args ((forall @t175 @t287))) % 128.74/128.99 (step @p168 :rule trans :premises (@p167 @p165)) % 128.74/128.99 (step @p169 :rule aci_norm :args ((= (or @t268 (or @t170 @t271)) @t287))) % 128.74/128.99 (step @p170 :rule refl :args (@t271)) % 128.74/128.99 (step @p171 :rule bool-double-not-elim :args (@t170)) % 128.74/128.99 (step @p172 :rule nary_cong :premises (@p171 @p170) :args ((or (not @t171) @t271))) % 128.74/128.99 (step @p173 :rule bool-impl-elim :args (@t171 @t271)) % 128.74/128.99 (step @p174 :rule trans :premises (@p173 @p172)) % 128.74/128.99 (step @p175 :rule refl :args (@t268)) % 128.74/128.99 (step @p176 :rule nary_cong :premises (@p175 @p174) :args ((or @t268 @t288))) % 128.74/128.99 (step @p177 :rule trans :premises (@p176 @p169)) % 128.74/128.99 (step @p178 :rule bool-impl-elim :args (@t173 @t288)) % 128.74/128.99 (step @p179 :rule trans :premises (@p178 @p177)) % 128.74/128.99 (step @p180 :rule cong :premises (@p179) :args ((forall @t175 (=> @t173 @t288)))) % 128.74/128.99 (step @p181 :rule trans :premises (@p180 @p168)) % 128.74/128.99 (step @p182 :rule bool-double-not-elim :args (@t163)) % 128.74/128.99 (step @p183 :rule refl :args (@t270)) % 128.74/128.99 (step @p184 :rule nary_cong :premises (@p183 @p182) :args ((or @t270 (not @t164)))) % 128.74/128.99 (step @p185 :rule bool-and-de-morgan :args (@t165 @t164 true)) % 128.74/128.99 (step @p186 :rule trans :premises (@p185 @p184)) % 128.74/128.99 (step @p187 :rule cong :premises (@p186) :args (@t289)) % 128.74/128.99 (step @p188 :rule cong :premises (@p187) :args (@t290)) % 128.74/128.99 (step @p189 :rule exists-elim :args ((= @t168 @t290))) % 128.74/128.99 (step @p190 :rule trans :premises (@p189 @p188)) % 128.74/128.99 (step @p191 :rule refl :args (@t171)) % 128.74/128.99 (step @p192 :rule cong :premises (@p191 @p190) :args (@t172)) % 128.74/128.99 (step @p193 :rule refl :args (@t173)) % 128.74/128.99 (step @p194 :rule cong :premises (@p193 @p192) :args (@t174)) % 128.74/128.99 (step @p195 :rule cong :premises (@p194) :args (@t176)) % 128.74/128.99 (step @p196 :rule trans :premises (@p195 @p181)) % 128.74/128.99 (step @p197 :rule refl :args (@t177)) % 128.74/128.99 (step @p198 :rule cong :premises (@p197 @p196) :args (@t178)) % 128.74/128.99 (step @p199 :rule quant-miniscope-or :args ((= (forall @t190 @t291) @t277))) % 128.74/128.99 (step @p200 :rule aci_norm :args ((= @t292 @t291))) % 128.74/128.99 (step @p201 :rule cong :premises (@p200) :args ((forall @t190 @t292))) % 128.74/128.99 (step @p202 :rule trans :premises (@p201 @p199)) % 128.74/128.99 (step @p203 :rule aci_norm :args ((= (or @t274 (or @t273 @t276)) @t292))) % 128.74/128.99 (step @p204 :rule bool-impl-elim :args (@t186 @t276)) % 128.74/128.99 (step @p205 :rule refl :args (@t274)) % 128.74/128.99 (step @p206 :rule nary_cong :premises (@p205 @p204) :args ((or @t274 @t293))) % 128.74/128.99 (step @p207 :rule trans :premises (@p206 @p203)) % 128.74/128.99 (step @p208 :rule bool-impl-elim :args (@t188 @t293)) % 128.74/128.99 (step @p209 :rule trans :premises (@p208 @p207)) % 128.74/128.99 (step @p210 :rule cong :premises (@p209) :args ((forall @t190 (=> @t188 @t293)))) % 128.74/128.99 (step @p211 :rule trans :premises (@p210 @p202)) % 128.74/128.99 (step @p212 :rule 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128.74/128.99 (step @p282 :rule trans :premises (@p281 @p237)) % 128.74/128.99 (step @p283 :rule cong :premises (@p282) :args (@t250)) % 128.74/128.99 (step @p284 :rule eq_resolve :premises (@p58 @p283)) % 128.74/128.99 (step @p285 :rule skolemize :premises (@p284)) % 128.74/128.99 (step @p286 :rule bool-double-not-elim :args (@t319)) % 128.74/128.99 (step @p287 :rule refl :args (@t329)) % 128.74/128.99 (step @p288 :rule nary_cong :premises (@p287 @p286) :args ((or @t329 (not @t328)))) % 128.74/128.99 (step @p289 :rule cnf_or_neg :args (@t329 0)) % 128.74/128.99 (step @p290 :rule eq_resolve :premises (@p289 @p288)) % 128.74/128.99 (step @p291 :rule reordering :premises (@p290) :args ((or @t319 @t329))) % 128.74/128.99 (step @p292 :rule chain_m_resolution :premises (@p291 @p285) :args (@t319 @t330 @t331)) % 128.74/128.99 (step @p293 :rule cnf_or_pos :args (@t347)) % 128.74/128.99 (step @p294 :rule reordering :premises (@p293) :args ((or @t328 @t346 (not @t347)))) % 128.74/128.99 (step 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(step @p318 :rule cnf_or_neg :args (@t357 2)) % 128.74/128.99 (step @p319 :rule chain_m_resolution :premises (@p318 @p299) :args ((not @t353) @t330 @t358)) % 128.74/128.99 (step @p320 :rule skolemize :premises (@p319)) % 128.74/128.99 (step @p321 :rule bool-double-not-elim :args (@t367)) % 128.74/128.99 (step @p322 :rule refl :args (@t372)) % 128.74/128.99 (step @p323 :rule nary_cong :premises (@p322 @p321) :args ((or @t372 (not @t371)))) % 128.74/128.99 (step @p324 :rule cnf_or_neg :args (@t372 0)) % 128.74/128.99 (step @p325 :rule eq_resolve :premises (@p324 @p323)) % 128.74/128.99 (step @p326 :rule reordering :premises (@p325) :args ((or @t367 @t372))) % 128.74/128.99 (step @p327 :rule chain_m_resolution :premises (@p326 @p320) :args (@t367 @t330 @t373)) % 128.74/128.99 (step @p328 :rule cnf_or_pos :args (@t376)) % 128.74/128.99 (step @p329 :rule reordering :premises (@p328) :args ((or @t371 @t375 (not @t376)))) % 128.74/128.99 (step @p330 :rule chain_m_resolution :premises (@p329 @p327 @p317) :args (@t375 @t348 (@list @t367 @t376))) % 128.74/128.99 (step @p331 :rule cnf_or_neg :args (@t372 2)) % 128.74/128.99 (step @p332 :rule chain_m_resolution :premises (@p331 @p320) :args ((not @t368) @t330 @t373)) % 128.74/128.99 (step @p333 :rule cnf_equiv_pos2 :args (@t375)) % 128.74/128.99 (step @p334 :rule reordering :premises (@p333) :args ((or @t368 @t377 (not @t375)))) % 128.74/128.99 (step @p335 :rule chain_m_resolution :premises (@p334 @p332 @p330) :args (@t377 (@list true false) (@list @t368 @t375))) % 128.74/128.99 (step @p336 :rule alpha_equiv :args (@t378 @t379 @t380)) % 128.74/128.99 (step @p337 :rule equiv_elim1 :premises (@p336)) % 128.74/128.99 (step @p338 :rule chain_m_resolution :premises (@p337 @p335) :args ((not @t378) @t330 (@list @t374))) % 128.74/128.99 (step @p339 :rule skolemize :premises (@p338)) % 128.74/128.99 (step @p340 :rule bool-double-not-elim :args (@t383)) % 128.74/128.99 (step @p341 :rule refl :args (@t387)) % 128.74/128.99 (step @p342 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@p354 :rule bool-impl-elim :args (@t11 @t389)) % 128.74/128.99 (step @p355 :rule cong :premises (@p354) :args ((forall @t13 (=> @t11 @t389)))) % 128.74/128.99 (step @p356 :rule bool-impl-elim :args (@t7 @t5)) % 128.74/128.99 (step @p357 :rule cong :premises (@p356) :args (@t9)) % 128.74/128.99 (step @p358 :rule refl :args (@t11)) % 128.74/128.99 (step @p359 :rule cong :premises (@p358 @p357) :args (@t12)) % 128.74/128.99 (step @p360 :rule cong :premises (@p359) :args (@t14)) % 128.74/128.99 (step @p361 :rule trans :premises (@p360 @p355)) % 128.74/128.99 (step @p362 :rule eq_resolve :premises (@p1 @p361)) % 128.74/128.99 (step @p363 :rule instantiate :premises (@p362) :args (@t312)) % 128.74/128.99 (step @p364 :rule cnf_or_pos :args (@t391)) % 128.74/128.99 (step @p365 :rule reordering :premises (@p364) :args ((or @t328 @t390 (not @t391)))) % 128.74/128.99 (step @p366 :rule chain_m_resolution :premises (@p365 @p292 @p363) :args (@t390 @t348 (@list @t319 @t391))) % 128.74/128.99 (step 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128.74/128.99 (step @p390 :rule alpha_equiv :args (@t359 @t379 @t380)) % 128.74/128.99 (step @p391 :rule equiv_elim2 :premises (@p390)) % 128.74/128.99 (step @p392 :rule chain_m_resolution :premises (@p391 @p389) :args (@t359 @t362 (@list @t395))) % 128.74/128.99 (step @p393 :rule instantiate :premises (@p392) :args (@t392)) % 128.74/128.99 (step @p394 :rule cnf_or_pos :args (@t400)) % 128.74/128.99 (step @p395 :rule reordering :premises (@p394) :args ((or @t386 @t399 (not @t400)))) % 128.74/128.99 (step @p396 :rule chain_m_resolution :premises (@p395 @p373 @p393) :args (@t399 @t348 (@list @t385 @t400))) % 128.74/128.99 (step @p397 :rule cnf_or_pos :args (@t402)) % 128.74/128.99 (step @p398 :rule reordering :premises (@p397) :args ((or @t384 @t401 @t398 (not @t402)))) % 128.74/128.99 (step @p399 false :rule chain_m_resolution :premises (@p398 @p396 @p376 @p353 @p346) :args (false (@list true false false false) (@list @t398 @t393 @t402 @t383))) % 128.74/128.99 ) % 128.74/128.99 % SZS output end Proof % 128.74/128.99 % cvc5 exiting %------------------------------------------------------------------------------