%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP002_2 : TPTP v9.2.1. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:24:21 AM UTC 2026 % Result : Theorem 164.15s 164.32s % Output : Proof 164.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : ITP002_2 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.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 03:33:32 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 164.15/164.32 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 164.15/164.32 --- Run --no-e-matching --full-saturate-quant at 6... % 164.15/164.32 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 164.15/164.32 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 164.15/164.32 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 164.15/164.32 --- Run --trigger-sel=max --full-saturate-quant at 15... % 164.15/164.32 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 164.15/164.32 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 164.15/164.32 --- Run --prenex-quant=none --full-saturate-quant at 30... % 164.15/164.32 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 164.15/164.32 % SZS status Theorem % 164.15/164.32 % SZS output start Proof % 164.15/164.32 ( % 164.15/164.32 (declare-sort tptp.tp__o 0) % 164.15/164.32 (declare-sort tptp.del 0) % 164.15/164.32 (declare-sort $$unsorted 0) % 164.15/164.32 (declare-const tptp.c_2Ebool_2E_21 (-> tptp.del $$unsorted)) % 164.15/164.32 (declare-const tptp.c_2Ebool_2ECOND (-> tptp.del $$unsorted)) % 164.15/164.32 (declare-const tptp.c_2Ebool_2E_2F_5C $$unsorted) % 164.15/164.32 (declare-const tptp.c_2Eoption_2EIS__SOME (-> tptp.del $$unsorted)) % 164.15/164.32 (declare-const tptp.c_2Emin_2E_3D (-> tptp.del $$unsorted)) % 164.15/164.32 (declare-const tptp.c_2Eoption_2ESOME (-> tptp.del $$unsorted)) % 164.15/164.32 (declare-const tptp.c_2Eoption_2ETHE (-> tptp.del $$unsorted)) % 164.15/164.32 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted)) % 164.15/164.32 (declare-const tptp.p (-> $$unsorted Bool)) % 164.15/164.32 (declare-const tptp.bool tptp.del) % 164.15/164.32 (declare-const tptp.arr (-> tptp.del tptp.del tptp.del)) % 164.15/164.32 (declare-const tptp.c_2Ebool_2ET $$unsorted) % 164.15/164.32 (declare-const tptp.c_2Eoption_2EOPTION__MAP2 (-> tptp.del tptp.del tptp.del $$unsorted)) % 164.15/164.32 (declare-const tptp.fo__c_2Ebool_2E_2F_5C (-> tptp.tp__o tptp.tp__o tptp.tp__o)) % 164.15/164.32 (declare-const tptp.k (-> tptp.del $$unsorted $$unsorted)) % 164.15/164.32 (declare-const tptp.c_2Eoption_2ENONE (-> tptp.del $$unsorted)) % 164.15/164.32 (declare-const tptp.i (-> tptp.del $$unsorted)) % 164.15/164.32 (declare-const tptp.inj__o (-> tptp.tp__o $$unsorted)) % 164.15/164.32 (declare-const tptp.mem (-> $$unsorted tptp.del Bool)) % 164.15/164.32 (declare-const tptp.fo__c_2Ebool_2ET tptp.tp__o) % 164.15/164.32 (declare-const tptp.ty_2Eoption_2Eoption (-> tptp.del tptp.del)) % 164.15/164.32 (declare-const tptp.surj__o (-> $$unsorted tptp.tp__o)) % 164.15/164.32 (declare-const tptp.c_2Ebool_2EF $$unsorted) % 164.15/164.32 (declare-const tptp.fo__c_2Ebool_2EF tptp.tp__o) % 164.15/164.32 (define @t1 () (@var "B" tptp.del)) % 164.15/164.32 (define @t2 () (@var "X" $$unsorted)) % 164.15/164.32 (define @t3 () (@var "F" $$unsorted)) % 164.15/164.32 (define @t4 () (tptp.ap @t3 @t2)) % 164.15/164.32 (define @t5 () (tptp.mem @t4 @t1)) % 164.15/164.32 (define @t6 () (@var "A" tptp.del)) % 164.15/164.32 (define @t7 () (tptp.mem @t2 @t6)) % 164.15/164.32 (define @t8 () (@list @t2)) % 164.15/164.32 (define @t9 () (forall @t8 (=> @t7 @t5))) % 164.15/164.32 (define @t10 () (tptp.arr @t6 @t1)) % 164.15/164.32 (define @t11 () (tptp.mem @t3 @t10)) % 164.15/164.32 (define @t12 () (=> @t11 @t9)) % 164.15/164.32 (define @t13 () (@list @t6 @t1 @t3)) % 164.15/164.32 (define @t14 () (forall @t13 @t12)) % 164.15/164.32 (define @t15 () (@var "R" $$unsorted)) % 164.15/164.32 (define @t16 () (@var "Q" $$unsorted)) % 164.15/164.32 (define @t17 () (= @t16 @t15)) % 164.15/164.32 (define @t18 () (tptp.p @t15)) % 164.15/164.32 (define @t19 () (tptp.p @t16)) % 164.15/164.32 (define @t20 () (= @t19 @t18)) % 164.15/164.32 (define @t21 () (=> @t20 @t17)) % 164.15/164.32 (define @t22 () (tptp.mem @t15 tptp.bool)) % 164.15/164.32 (define @t23 () (@list @t15)) % 164.15/164.32 (define @t24 () (forall @t23 (=> @t22 @t21))) % 164.15/164.32 (define @t25 () (tptp.mem @t16 tptp.bool)) % 164.15/164.32 (define @t26 () (=> @t25 @t24)) % 164.15/164.32 (define @t27 () (@list @t16)) % 164.15/164.32 (define @t28 () (forall @t27 @t26)) % 164.15/164.32 (define @t29 () (@var "G" $$unsorted)) % 164.15/164.32 (define @t30 () (@var "Y" $$unsorted)) % 164.15/164.32 (define @t31 () (@list @t6 @t2)) % 164.15/164.32 (define @t32 () (@var "X" tptp.tp__o)) % 164.15/164.32 (define @t33 () (tptp.inj__o @t32)) % 164.15/164.32 (define @t34 () (@list @t32)) % 164.15/164.32 (define @t35 () (tptp.mem tptp.c_2Ebool_2EF tptp.bool)) % 164.15/164.32 (define @t36 () (tptp.inj__o tptp.fo__c_2Ebool_2EF)) % 164.15/164.32 (define @t37 () (tptp.p tptp.c_2Ebool_2EF)) % 164.15/164.32 (define @t38 () (not @t37)) % 164.15/164.32 (define @t39 () (tptp.mem tptp.c_2Ebool_2ET tptp.bool)) % 164.15/164.32 (define @t40 () (tptp.inj__o tptp.fo__c_2Ebool_2ET)) % 164.15/164.32 (define @t41 () (tptp.p tptp.c_2Ebool_2ET)) % 164.15/164.32 (define @t42 () (@var "A_27a" tptp.del)) % 164.15/164.32 (define @t43 () (tptp.ty_2Eoption_2Eoption @t42)) % 164.15/164.32 (define @t44 () (tptp.c_2Eoption_2ENONE @t42)) % 164.15/164.32 (define @t45 () (@list @t42)) % 164.15/164.32 (define @t46 () (tptp.c_2Eoption_2ETHE @t42)) % 164.15/164.32 (define @t47 () (tptp.c_2Eoption_2ESOME @t42)) % 164.15/164.32 (define @t48 () (tptp.c_2Eoption_2EIS__SOME @t42)) % 164.15/164.32 (define @t49 () (@var "X1" tptp.tp__o)) % 164.15/164.32 (define @t50 () (@var "X0" tptp.tp__o)) % 164.15/164.32 (define @t51 () (tptp.ap tptp.c_2Ebool_2E_2F_5C @t16)) % 164.15/164.32 (define @t52 () (= (tptp.p (tptp.ap @t51 @t15)) (and @t19 @t18))) % 164.15/164.32 (define @t53 () (forall @t23 (=> @t22 @t52))) % 164.15/164.32 (define @t54 () (=> @t25 @t53)) % 164.15/164.32 (define @t55 () (forall @t27 @t54)) % 164.15/164.32 (define @t56 () (tptp.c_2Ebool_2ECOND @t42)) % 164.15/164.32 (define @t57 () (@var "A_27c" tptp.del)) % 164.15/164.32 (define @t58 () (tptp.ty_2Eoption_2Eoption @t57)) % 164.15/164.32 (define @t59 () (@var "A_27b" tptp.del)) % 164.15/164.32 (define @t60 () (tptp.ty_2Eoption_2Eoption @t59)) % 164.15/164.32 (define @t61 () (tptp.arr @t59 (tptp.arr @t57 @t42))) % 164.15/164.32 (define @t62 () (tptp.c_2Eoption_2EOPTION__MAP2 @t42 @t59 @t57)) % 164.15/164.32 (define @t63 () (tptp.arr @t42 tptp.bool)) % 164.15/164.32 (define @t64 () (@var "V0t" tptp.tp__o)) % 164.15/164.32 (define @t65 () (tptp.p (tptp.inj__o @t64))) % 164.15/164.32 (define @t66 () (@var "V0x" $$unsorted)) % 164.15/164.32 (define @t67 () (tptp.mem @t66 @t42)) % 164.15/164.32 (define @t68 () (@list @t42 @t66)) % 164.15/164.32 (define @t69 () (@var "V1t2" $$unsorted)) % 164.15/164.32 (define @t70 () (@var "V0t1" $$unsorted)) % 164.15/164.32 (define @t71 () (tptp.ap (tptp.ap @t56 @t36) @t70)) % 164.15/164.32 (define @t72 () (tptp.ap @t71 @t69)) % 164.15/164.32 (define @t73 () (tptp.ap (tptp.ap @t56 @t40) @t70)) % 164.15/164.32 (define @t74 () (tptp.ap @t73 @t69)) % 164.15/164.32 (define @t75 () (and (= @t74 @t70) (= @t72 @t69))) % 164.15/164.32 (define @t76 () (tptp.mem @t69 @t42)) % 164.15/164.32 (define @t77 () (=> @t76 @t75)) % 164.15/164.32 (define @t78 () (@list @t69)) % 164.15/164.32 (define @t79 () (forall @t78 @t77)) % 164.15/164.32 (define @t80 () (tptp.mem @t70 @t42)) % 164.15/164.32 (define @t81 () (=> @t80 @t79)) % 164.15/164.32 (define @t82 () (@list @t42 @t70)) % 164.15/164.32 (define @t83 () (forall @t82 @t81)) % 164.15/164.32 (define @t84 () (@var "V1y" $$unsorted)) % 164.15/164.32 (define @t85 () (tptp.ap @t47 @t66)) % 164.15/164.32 (define @t86 () (tptp.p (tptp.ap @t48 @t44))) % 164.15/164.32 (define @t87 () (tptp.p (tptp.ap @t48 @t85))) % 164.15/164.32 (define @t88 () (=> @t67 (= @t87 true))) % 164.15/164.32 (define @t89 () (@list @t66)) % 164.15/164.32 (define @t90 () (forall @t89 @t88)) % 164.15/164.32 (define @t91 () (and @t90 (= @t86 false))) % 164.15/164.32 (define @t92 () (forall @t45 @t91)) % 164.15/164.32 (define @t93 () (tptp.ap @t46 @t85)) % 164.15/164.32 (define @t94 () (=> @t67 (= @t93 @t66))) % 164.15/164.32 (define @t95 () (forall @t68 @t94)) % 164.15/164.32 (define @t96 () (@var "V2y" $$unsorted)) % 164.15/164.32 (define @t97 () (tptp.c_2Eoption_2ETHE @t57)) % 164.15/164.32 (define @t98 () (@var "V1x" $$unsorted)) % 164.15/164.32 (define @t99 () (tptp.c_2Eoption_2ETHE @t59)) % 164.15/164.32 (define @t100 () (@var "V0f" $$unsorted)) % 164.15/164.32 (define @t101 () (tptp.ap @t100 (tptp.ap @t99 @t98))) % 164.15/164.32 (define @t102 () (tptp.c_2Eoption_2EIS__SOME @t57)) % 164.15/164.32 (define @t103 () (tptp.c_2Eoption_2EIS__SOME @t59)) % 164.15/164.32 (define @t104 () (tptp.ap tptp.c_2Ebool_2E_2F_5C (tptp.ap @t103 @t98))) % 164.15/164.32 (define @t105 () (tptp.c_2Ebool_2ECOND @t43)) % 164.15/164.32 (define @t106 () (tptp.ap @t62 @t100)) % 164.15/164.32 (define @t107 () (tptp.ap @t106 @t98)) % 164.15/164.32 (define @t108 () (= (tptp.ap @t107 @t96) (tptp.ap (tptp.ap (tptp.ap @t105 (tptp.ap @t104 (tptp.ap @t102 @t96))) (tptp.ap @t47 (tptp.ap @t101 (tptp.ap @t97 @t96)))) @t44))) % 164.15/164.32 (define @t109 () (tptp.mem @t96 @t58)) % 164.15/164.32 (define @t110 () (@list @t96)) % 164.15/164.32 (define @t111 () (forall @t110 (=> @t109 @t108))) % 164.15/164.32 (define @t112 () (tptp.mem @t98 @t60)) % 164.15/164.32 (define @t113 () (=> @t112 @t111)) % 164.15/164.32 (define @t114 () (@list @t98)) % 164.15/164.32 (define @t115 () (forall @t114 @t113)) % 164.15/164.32 (define @t116 () (tptp.mem @t100 @t61)) % 164.15/164.32 (define @t117 () (=> @t116 @t115)) % 164.15/164.32 (define @t118 () (@list @t42 @t59 @t57 @t100)) % 164.15/164.32 (define @t119 () (forall @t118 @t117)) % 164.15/164.32 (define @t120 () (tptp.c_2Eoption_2ENONE @t57)) % 164.15/164.32 (define @t121 () (tptp.ap @t106 (tptp.c_2Eoption_2ENONE @t59))) % 164.15/164.32 (define @t122 () (tptp.ap @t121 @t120)) % 164.15/164.32 (define @t123 () (tptp.c_2Eoption_2ESOME @t57)) % 164.15/164.32 (define @t124 () (tptp.ap @t123 @t96)) % 164.15/164.32 (define @t125 () (tptp.ap @t121 @t124)) % 164.15/164.32 (define @t126 () (tptp.c_2Eoption_2ESOME @t59)) % 164.15/164.32 (define @t127 () (tptp.ap @t106 (tptp.ap @t126 @t98))) % 164.15/164.32 (define @t128 () (tptp.ap @t127 @t120)) % 164.15/164.32 (define @t129 () (tptp.ap @t100 @t98)) % 164.15/164.32 (define @t130 () (= (tptp.ap @t127 @t124) (tptp.ap @t47 (tptp.ap @t129 @t96)))) % 164.15/164.32 (define @t131 () (and @t130 (= @t128 @t44) (= @t125 @t44) (= @t122 @t44))) % 164.15/164.32 (define @t132 () (tptp.mem @t96 @t57)) % 164.15/164.32 (define @t133 () (=> @t132 @t131)) % 164.15/164.32 (define @t134 () (forall @t110 @t133)) % 164.15/164.32 (define @t135 () (tptp.mem @t98 @t59)) % 164.15/164.32 (define @t136 () (=> @t135 @t134)) % 164.15/164.32 (define @t137 () (forall @t114 @t136)) % 164.15/164.32 (define @t138 () (=> @t116 @t137)) % 164.15/164.32 (define @t139 () (forall @t118 @t138)) % 164.15/164.32 (define @t140 () (not @t139)) % 164.15/164.32 (define @t141 () (@var "BOUND_VARIABLE_7788" $$unsorted)) % 164.15/164.32 (define @t142 () (= @t16 @t141)) % 164.15/164.32 (define @t143 () (tptp.p @t141)) % 164.15/164.32 (define @t144 () (not @t19)) % 164.15/164.32 (define @t145 () (not (tptp.mem @t141 tptp.bool))) % 164.15/164.32 (define @t146 () (not @t25)) % 164.15/164.32 (define @t147 () (= @t143 @t144)) % 164.15/164.32 (define @t148 () (or @t146 @t145 @t147 @t142)) % 164.15/164.32 (define @t149 () (or @t145 @t147 @t142)) % 164.15/164.32 (define @t150 () (or @t146 @t149)) % 164.15/164.32 (define @t151 () (forall (@list @t16 @t141) @t150)) % 164.15/164.32 (define @t152 () (@list @t141)) % 164.15/164.32 (define @t153 () (forall @t152 @t150)) % 164.15/164.32 (define @t154 () (forall @t152 @t149)) % 164.15/164.32 (define @t155 () (@list @t15)) % 164.15/164.32 (define @t156 () (or @t146 @t154)) % 164.15/164.32 (define @t157 () (not @t22)) % 164.15/164.32 (define @t158 () (forall @t23 (or @t157 (= @t18 @t144) @t17))) % 164.15/164.32 (define @t159 () (= @t144 @t18)) % 164.15/164.32 (define @t160 () (or @t157 @t159 @t17)) % 164.15/164.32 (define @t161 () (= @t44 @t122)) % 164.15/164.32 (define @t162 () (@var "BOUND_VARIABLE_8116" $$unsorted)) % 164.15/164.32 (define @t163 () (tptp.ap @t123 @t162)) % 164.15/164.32 (define @t164 () (@var "BOUND_VARIABLE_8114" $$unsorted)) % 164.15/164.32 (define @t165 () (tptp.ap @t106 (tptp.ap @t126 @t164))) % 164.15/164.32 (define @t166 () (and (= (tptp.ap @t165 @t163) (tptp.ap @t47 (tptp.ap (tptp.ap @t100 @t164) @t162))) (= @t44 (tptp.ap @t165 @t120)) (= @t44 (tptp.ap @t121 @t163)) @t161)) % 164.15/164.32 (define @t167 () (not (tptp.mem @t162 @t57))) % 164.15/164.32 (define @t168 () (not (tptp.mem @t164 @t59))) % 164.15/164.32 (define @t169 () (not @t116)) % 164.15/164.32 (define @t170 () (or @t169 @t168 @t167 @t166)) % 164.15/164.32 (define @t171 () (@list @t42 @t59 @t57 @t100 @t164 @t162)) % 164.15/164.32 (define @t172 () (forall @t171 @t170)) % 164.15/164.32 (define @t173 () (@quantifiers_skolemize @t172 4)) % 164.15/164.32 (define @t174 () (@quantifiers_skolemize @t172 1)) % 164.15/164.32 (define @t175 () (tptp.c_2Eoption_2ESOME @t174)) % 164.15/164.32 (define @t176 () (tptp.ap @t175 @t173)) % 164.15/164.32 (define @t177 () (tptp.c_2Eoption_2EIS__SOME @t174)) % 164.15/164.32 (define @t178 () (tptp.ap @t177 @t176)) % 164.15/164.32 (define @t179 () (@var "BOUND_VARIABLE_7995" tptp.del)) % 164.15/164.32 (define @t180 () (forall (@list @t179) (not (tptp.p (tptp.ap (tptp.c_2Eoption_2EIS__SOME @t179) (tptp.c_2Eoption_2ENONE @t179)))))) % 164.15/164.32 (define @t181 () (@var "BOUND_VARIABLE_7982" tptp.del)) % 164.15/164.32 (define @t182 () (or (not (tptp.mem @t66 @t181)) (tptp.p (tptp.ap (tptp.c_2Eoption_2EIS__SOME @t181) (tptp.ap (tptp.c_2Eoption_2ESOME @t181) @t66))))) % 164.15/164.32 (define @t183 () (forall (@list @t181) (forall @t89 @t182))) % 164.15/164.32 (define @t184 () (not @t86)) % 164.15/164.32 (define @t185 () (forall @t45 @t184)) % 164.15/164.32 (define @t186 () (@list @t42)) % 164.15/164.32 (define @t187 () (forall @t89 (or (not @t67) @t87))) % 164.15/164.32 (define @t188 () (forall @t45 @t187)) % 164.15/164.32 (define @t189 () (and @t188 @t185)) % 164.15/164.32 (define @t190 () (@list @t174 @t173)) % 164.15/164.32 (define @t191 () (or @t168 @t167 @t166)) % 164.15/164.32 (define @t192 () (or @t169 @t191)) % 164.15/164.32 (define @t193 () (forall @t171 @t192)) % 164.15/164.32 (define @t194 () (@list @t164 @t162)) % 164.15/164.32 (define @t195 () (forall @t194 @t192)) % 164.15/164.32 (define @t196 () (forall @t194 @t191)) % 164.15/164.32 (define @t197 () (@var "BOUND_VARIABLE_8092" $$unsorted)) % 164.15/164.32 (define @t198 () (or @t169 @t196)) % 164.15/164.32 (define @t199 () (tptp.ap @t123 @t197)) % 164.15/164.32 (define @t200 () (= @t44 @t128)) % 164.15/164.32 (define @t201 () (and (= (tptp.ap @t127 @t199) (tptp.ap @t47 (tptp.ap @t129 @t197))) @t200 (= @t44 (tptp.ap @t121 @t199)) @t161)) % 164.15/164.32 (define @t202 () (not (tptp.mem @t197 @t57))) % 164.15/164.32 (define @t203 () (not @t135)) % 164.15/164.32 (define @t204 () (or @t203 @t202 @t201)) % 164.15/164.32 (define @t205 () (@list @t98 @t197)) % 164.15/164.32 (define @t206 () (forall @t205 @t204)) % 164.15/164.32 (define @t207 () (or @t202 @t201)) % 164.15/164.32 (define @t208 () (or @t203 @t207)) % 164.15/164.32 (define @t209 () (forall @t205 @t208)) % 164.15/164.32 (define @t210 () (@list @t197)) % 164.15/164.32 (define @t211 () (forall @t210 @t208)) % 164.15/164.32 (define @t212 () (forall @t210 @t207)) % 164.15/164.32 (define @t213 () (@list @t96)) % 164.15/164.32 (define @t214 () (or @t203 @t212)) % 164.15/164.32 (define @t215 () (and @t130 @t200 (= @t44 @t125) @t161)) % 164.15/164.32 (define @t216 () (forall @t110 (or (not @t132) @t215))) % 164.15/164.32 (define @t217 () (tptp.mem @t173 @t174)) % 164.15/164.32 (define @t218 () (@quantifiers_skolemize @t172 2)) % 164.15/164.32 (define @t219 () (tptp.c_2Eoption_2ENONE @t218)) % 164.15/164.32 (define @t220 () (tptp.c_2Eoption_2ENONE @t174)) % 164.15/164.32 (define @t221 () (@quantifiers_skolemize @t172 3)) % 164.15/164.32 (define @t222 () (@quantifiers_skolemize @t172 0)) % 164.15/164.32 (define @t223 () (tptp.ap (tptp.c_2Eoption_2EOPTION__MAP2 @t222 @t174 @t218) @t221)) % 164.15/164.32 (define @t224 () (tptp.ap @t223 @t220)) % 164.15/164.32 (define @t225 () (tptp.ap @t224 @t219)) % 164.15/164.32 (define @t226 () (tptp.c_2Eoption_2ENONE @t222)) % 164.15/164.32 (define @t227 () (= @t226 @t225)) % 164.15/164.32 (define @t228 () (@quantifiers_skolemize @t172 5)) % 164.15/164.32 (define @t229 () (tptp.c_2Eoption_2ESOME @t218)) % 164.15/164.32 (define @t230 () (tptp.ap @t229 @t228)) % 164.15/164.32 (define @t231 () (tptp.ap @t224 @t230)) % 164.15/164.32 (define @t232 () (= @t226 @t231)) % 164.15/164.32 (define @t233 () (tptp.ap @t223 @t176)) % 164.15/164.32 (define @t234 () (tptp.ap @t233 @t219)) % 164.15/164.32 (define @t235 () (= @t226 @t234)) % 164.15/164.32 (define @t236 () (tptp.ap @t221 @t173)) % 164.15/164.32 (define @t237 () (tptp.ap @t236 @t228)) % 164.15/164.32 (define @t238 () (tptp.c_2Eoption_2ESOME @t222)) % 164.15/164.32 (define @t239 () (tptp.ap @t238 @t237)) % 164.15/164.32 (define @t240 () (tptp.ap @t233 @t230)) % 164.15/164.32 (define @t241 () (= @t240 @t239)) % 164.15/164.32 (define @t242 () (and @t241 @t235 @t232 @t227)) % 164.15/164.32 (define @t243 () (tptp.mem @t228 @t218)) % 164.15/164.32 (define @t244 () (not @t243)) % 164.15/164.32 (define @t245 () (not @t217)) % 164.15/164.32 (define @t246 () (tptp.arr @t218 @t222)) % 164.15/164.32 (define @t247 () (tptp.mem @t221 (tptp.arr @t174 @t246))) % 164.15/164.32 (define @t248 () (not @t247)) % 164.15/164.32 (define @t249 () (or @t248 @t245 @t244 @t242)) % 164.15/164.32 (define @t250 () (@list true)) % 164.15/164.32 (define @t251 () (@list @t249)) % 164.15/164.32 (define @t252 () (tptp.p @t178)) % 164.15/164.32 (define @t253 () (or @t245 @t252)) % 164.15/164.32 (define @t254 () (@list false false)) % 164.15/164.32 (define @t255 () (tptp.p @t40)) % 164.15/164.32 (define @t256 () (not @t255)) % 164.15/164.32 (define @t257 () (= @t256 @t252)) % 164.15/164.32 (define @t258 () (not @t257)) % 164.15/164.32 (define @t259 () (@var "BOUND_VARIABLE_7760" $$unsorted)) % 164.15/164.32 (define @t260 () (tptp.mem (tptp.ap @t3 @t259) @t1)) % 164.15/164.32 (define @t261 () (not (tptp.mem @t259 @t6))) % 164.15/164.32 (define @t262 () (not @t11)) % 164.15/164.32 (define @t263 () (or @t261 @t260)) % 164.15/164.32 (define @t264 () (or @t262 @t263)) % 164.15/164.32 (define @t265 () (forall (@list @t6 @t1 @t3 @t259) @t264)) % 164.15/164.32 (define @t266 () (@list @t259)) % 164.15/164.32 (define @t267 () (forall @t266 @t264)) % 164.15/164.32 (define @t268 () (forall @t266 @t263)) % 164.15/164.32 (define @t269 () (or @t262 @t268)) % 164.15/164.32 (define @t270 () (forall @t8 (or (not @t7) @t5))) % 164.15/164.32 (define @t271 () (tptp.ty_2Eoption_2Eoption @t174)) % 164.15/164.32 (define @t272 () (@list @t174)) % 164.15/164.32 (define @t273 () (tptp.mem @t176 @t271)) % 164.15/164.32 (define @t274 () (tptp.mem @t175 (tptp.arr @t174 @t271))) % 164.15/164.32 (define @t275 () (not @t274)) % 164.15/164.32 (define @t276 () (or @t275 @t245 @t273)) % 164.15/164.32 (define @t277 () (@list false false false)) % 164.15/164.32 (define @t278 () (tptp.mem @t178 tptp.bool)) % 164.15/164.32 (define @t279 () (not @t273)) % 164.15/164.32 (define @t280 () (tptp.mem @t177 (tptp.arr @t271 tptp.bool))) % 164.15/164.32 (define @t281 () (not @t280)) % 164.15/164.32 (define @t282 () (or @t281 @t279 @t278)) % 164.15/164.32 (define @t283 () (= @t40 @t178)) % 164.15/164.32 (define @t284 () (not @t278)) % 164.15/164.32 (define @t285 () (tptp.mem @t40 tptp.bool)) % 164.15/164.32 (define @t286 () (not @t285)) % 164.15/164.32 (define @t287 () (or @t286 @t284 @t257 @t283)) % 164.15/164.32 (define @t288 () (@list false false true false)) % 164.15/164.32 (define @t289 () (tptp.c_2Eoption_2EIS__SOME @t218)) % 164.15/164.32 (define @t290 () (tptp.ap @t289 @t230)) % 164.15/164.32 (define @t291 () (@list @t218 @t228)) % 164.15/164.32 (define @t292 () (tptp.p @t290)) % 164.15/164.32 (define @t293 () (or @t244 @t292)) % 164.15/164.32 (define @t294 () (= @t256 @t292)) % 164.15/164.32 (define @t295 () (not @t294)) % 164.15/164.32 (define @t296 () (tptp.ty_2Eoption_2Eoption @t218)) % 164.15/164.32 (define @t297 () (@list @t218)) % 164.15/164.32 (define @t298 () (tptp.mem @t230 @t296)) % 164.15/164.32 (define @t299 () (tptp.mem @t229 (tptp.arr @t218 @t296))) % 164.15/164.32 (define @t300 () (not @t299)) % 164.15/164.32 (define @t301 () (or @t300 @t244 @t298)) % 164.15/164.32 (define @t302 () (tptp.mem @t290 tptp.bool)) % 164.15/164.32 (define @t303 () (not @t298)) % 164.15/164.32 (define @t304 () (tptp.mem @t289 (tptp.arr @t296 tptp.bool))) % 164.15/164.32 (define @t305 () (not @t304)) % 164.15/164.32 (define @t306 () (or @t305 @t303 @t302)) % 164.15/164.32 (define @t307 () (= @t40 @t290)) % 164.15/164.32 (define @t308 () (not @t302)) % 164.15/164.32 (define @t309 () (or @t286 @t308 @t294 @t307)) % 164.15/164.32 (define @t310 () (tptp.c_2Eoption_2ESOME tptp.bool)) % 164.15/164.32 (define @t311 () (tptp.ap @t310 @t36)) % 164.15/164.32 (define @t312 () (tptp.c_2Eoption_2EIS__SOME tptp.bool)) % 164.15/164.32 (define @t313 () (tptp.ap @t312 @t311)) % 164.15/164.32 (define @t314 () (tptp.p @t313)) % 164.15/164.32 (define @t315 () (tptp.mem @t36 tptp.bool)) % 164.15/164.32 (define @t316 () (not @t315)) % 164.15/164.32 (define @t317 () (or @t316 @t314)) % 164.15/164.32 (define @t318 () (= @t256 @t314)) % 164.15/164.32 (define @t319 () (not @t318)) % 164.15/164.32 (define @t320 () (not @t314)) % 164.15/164.32 (define @t321 () (tptp.ty_2Eoption_2Eoption tptp.bool)) % 164.15/164.32 (define @t322 () (@list tptp.bool)) % 164.15/164.32 (define @t323 () (tptp.mem @t311 @t321)) % 164.15/164.32 (define @t324 () (tptp.mem @t310 (tptp.arr tptp.bool @t321))) % 164.15/164.32 (define @t325 () (not @t324)) % 164.15/164.32 (define @t326 () (or @t325 @t316 @t323)) % 164.15/164.32 (define @t327 () (tptp.mem @t313 tptp.bool)) % 164.15/164.32 (define @t328 () (not @t323)) % 164.15/164.32 (define @t329 () (tptp.mem @t312 (tptp.arr @t321 tptp.bool))) % 164.15/164.32 (define @t330 () (not @t329)) % 164.15/164.32 (define @t331 () (or @t330 @t328 @t327)) % 164.15/164.32 (define @t332 () (= @t40 @t313)) % 164.15/164.32 (define @t333 () (not @t327)) % 164.15/164.32 (define @t334 () (or @t286 @t333 @t318 @t332)) % 164.15/164.32 (define @t335 () (tptp.ap tptp.c_2Ebool_2E_2F_5C @t313)) % 164.15/164.32 (define @t336 () (tptp.ap @t335 @t313)) % 164.15/164.32 (define @t337 () (@var "BOUND_VARIABLE_7936" $$unsorted)) % 164.15/164.32 (define @t338 () (and (= @t70 (tptp.ap @t73 @t337)) (= @t337 (tptp.ap @t71 @t337)))) % 164.15/164.32 (define @t339 () (not (tptp.mem @t337 @t42))) % 164.15/164.32 (define @t340 () (not @t80)) % 164.15/164.32 (define @t341 () (or @t339 @t338)) % 164.15/164.32 (define @t342 () (or @t340 @t341)) % 164.15/164.32 (define @t343 () (forall (@list @t42 @t70 @t337) @t342)) % 164.15/164.32 (define @t344 () (@list @t337)) % 164.15/164.32 (define @t345 () (forall @t344 @t342)) % 164.15/164.32 (define @t346 () (forall @t344 @t341)) % 164.15/164.32 (define @t347 () (or @t340 @t346)) % 164.15/164.32 (define @t348 () (and (= @t70 @t74) (= @t69 @t72))) % 164.15/164.32 (define @t349 () (forall @t78 (or (not @t76) @t348))) % 164.15/164.32 (define @t350 () (tptp.ty_2Eoption_2Eoption @t222)) % 164.15/164.32 (define @t351 () (@list @t222)) % 164.15/164.32 (define @t352 () (tptp.mem @t236 @t246)) % 164.15/164.32 (define @t353 () (or @t248 @t245 @t352)) % 164.15/164.32 (define @t354 () (tptp.mem @t237 @t222)) % 164.15/164.32 (define @t355 () (not @t352)) % 164.15/164.32 (define @t356 () (or @t355 @t244 @t354)) % 164.15/164.32 (define @t357 () (tptp.mem @t239 @t350)) % 164.15/164.32 (define @t358 () (not @t354)) % 164.15/164.32 (define @t359 () (tptp.mem @t238 (tptp.arr @t222 @t350))) % 164.15/164.32 (define @t360 () (not @t359)) % 164.15/164.32 (define @t361 () (or @t360 @t358 @t357)) % 164.15/164.32 (define @t362 () (tptp.c_2Ebool_2ECOND @t350)) % 164.15/164.32 (define @t363 () (tptp.ap @t362 @t36)) % 164.15/164.32 (define @t364 () (tptp.ap @t362 @t40)) % 164.15/164.32 (define @t365 () (= @t239 (tptp.ap (tptp.ap @t364 @t239) @t226))) % 164.15/164.32 (define @t366 () (and @t365 (= @t226 (tptp.ap (tptp.ap @t363 @t239) @t226)))) % 164.15/164.32 (define @t367 () (tptp.mem @t226 @t350)) % 164.15/164.32 (define @t368 () (not @t367)) % 164.15/164.32 (define @t369 () (not @t357)) % 164.15/164.32 (define @t370 () (or @t369 @t368 @t366)) % 164.15/164.32 (define @t371 () (@list false)) % 164.15/164.32 (define @t372 () (tptp.c_2Eoption_2ESOME @t246)) % 164.15/164.32 (define @t373 () (tptp.ap @t372 @t236)) % 164.15/164.32 (define @t374 () (tptp.c_2Eoption_2EIS__SOME @t246)) % 164.15/164.32 (define @t375 () (tptp.ap @t374 @t373)) % 164.15/164.32 (define @t376 () (tptp.p @t375)) % 164.15/164.32 (define @t377 () (or @t355 @t376)) % 164.15/164.32 (define @t378 () (= @t256 @t376)) % 164.15/164.32 (define @t379 () (not @t378)) % 164.15/164.32 (define @t380 () (tptp.ty_2Eoption_2Eoption @t246)) % 164.15/164.32 (define @t381 () (@list @t246)) % 164.15/164.32 (define @t382 () (tptp.mem @t373 @t380)) % 164.15/164.32 (define @t383 () (tptp.mem @t372 (tptp.arr @t246 @t380))) % 164.15/164.32 (define @t384 () (not @t383)) % 164.15/164.32 (define @t385 () (or @t384 @t355 @t382)) % 164.15/164.32 (define @t386 () (tptp.mem @t375 tptp.bool)) % 164.15/164.32 (define @t387 () (not @t382)) % 164.15/164.32 (define @t388 () (tptp.mem @t374 (tptp.arr @t380 tptp.bool))) % 164.15/164.32 (define @t389 () (not @t388)) % 164.15/164.32 (define @t390 () (or @t389 @t387 @t386)) % 164.15/164.32 (define @t391 () (= @t40 @t375)) % 164.15/164.32 (define @t392 () (not @t386)) % 164.15/164.32 (define @t393 () (or @t286 @t392 @t378 @t391)) % 164.15/164.32 (define @t394 () (@var "BOUND_VARIABLE_8050" $$unsorted)) % 164.15/164.32 (define @t395 () (@var "BOUND_VARIABLE_8048" $$unsorted)) % 164.15/164.32 (define @t396 () (= (tptp.ap (tptp.ap @t106 @t395) @t394) (tptp.ap (tptp.ap (tptp.ap @t105 (tptp.ap (tptp.ap tptp.c_2Ebool_2E_2F_5C (tptp.ap @t103 @t395)) (tptp.ap @t102 @t394))) (tptp.ap @t47 (tptp.ap (tptp.ap @t100 (tptp.ap @t99 @t395)) (tptp.ap @t97 @t394)))) @t44))) % 164.15/164.32 (define @t397 () (not (tptp.mem @t394 @t58))) % 164.15/164.32 (define @t398 () (not (tptp.mem @t395 @t60))) % 164.15/164.32 (define @t399 () (or @t398 @t397 @t396)) % 164.15/164.32 (define @t400 () (or @t169 @t399)) % 164.15/164.32 (define @t401 () (forall (@list @t42 @t59 @t57 @t100 @t395 @t394) @t400)) % 164.15/164.32 (define @t402 () (@list @t395 @t394)) % 164.15/164.32 (define @t403 () (forall @t402 @t400)) % 164.15/164.32 (define @t404 () (forall @t402 @t399)) % 164.15/164.32 (define @t405 () (@var "BOUND_VARIABLE_8023" $$unsorted)) % 164.15/164.32 (define @t406 () (or @t169 @t404)) % 164.15/164.32 (define @t407 () (= (tptp.ap @t107 @t405) (tptp.ap (tptp.ap (tptp.ap @t105 (tptp.ap @t104 (tptp.ap @t102 @t405))) (tptp.ap @t47 (tptp.ap @t101 (tptp.ap @t97 @t405)))) @t44))) % 164.15/164.32 (define @t408 () (not (tptp.mem @t405 @t58))) % 164.15/164.32 (define @t409 () (not @t112)) % 164.15/164.32 (define @t410 () (or @t409 @t408 @t407)) % 164.15/164.32 (define @t411 () (@list @t98 @t405)) % 164.15/164.32 (define @t412 () (forall @t411 @t410)) % 164.15/164.32 (define @t413 () (or @t408 @t407)) % 164.15/164.32 (define @t414 () (or @t409 @t413)) % 164.15/164.32 (define @t415 () (forall @t411 @t414)) % 164.15/164.32 (define @t416 () (@list @t405)) % 164.15/164.32 (define @t417 () (forall @t416 @t414)) % 164.15/164.32 (define @t418 () (forall @t416 @t413)) % 164.15/164.32 (define @t419 () (or @t409 @t418)) % 164.15/164.32 (define @t420 () (forall @t110 (or (not @t109) @t108))) % 164.15/164.32 (define @t421 () (tptp.c_2Eoption_2ETHE @t218)) % 164.15/164.32 (define @t422 () (tptp.ap @t421 @t230)) % 164.15/164.32 (define @t423 () (tptp.c_2Eoption_2ETHE @t174)) % 164.15/164.32 (define @t424 () (tptp.ap @t423 @t176)) % 164.15/164.32 (define @t425 () (tptp.ap @t221 @t424)) % 164.15/164.32 (define @t426 () (tptp.ap @t425 @t422)) % 164.15/164.32 (define @t427 () (tptp.ap @t238 @t426)) % 164.15/164.32 (define @t428 () (tptp.ap tptp.c_2Ebool_2E_2F_5C @t178)) % 164.15/164.32 (define @t429 () (tptp.ap @t428 @t290)) % 164.15/164.32 (define @t430 () (tptp.ap @t362 @t429)) % 164.15/164.32 (define @t431 () (tptp.ap @t430 @t427)) % 164.15/164.32 (define @t432 () (tptp.ap @t431 @t226)) % 164.15/164.32 (define @t433 () (= @t240 @t432)) % 164.15/164.32 (define @t434 () (or @t248 @t279 @t303 @t433)) % 164.15/164.32 (define @t435 () (@list false false false false)) % 164.15/164.32 (define @t436 () (= @t66 @t93)) % 164.15/164.32 (define @t437 () (= @t228 @t422)) % 164.15/164.32 (define @t438 () (or @t244 @t437)) % 164.15/164.32 (define @t439 () (= @t173 @t424)) % 164.15/164.32 (define @t440 () (or @t245 @t439)) % 164.15/164.32 (define @t441 () (tptp.ap @t421 @t219)) % 164.15/164.32 (define @t442 () (tptp.ap @t423 @t220)) % 164.15/164.32 (define @t443 () (tptp.ap @t221 @t442)) % 164.15/164.32 (define @t444 () (tptp.ap @t443 @t441)) % 164.15/164.32 (define @t445 () (tptp.ap @t238 @t444)) % 164.15/164.32 (define @t446 () (tptp.ap @t289 @t219)) % 164.15/164.32 (define @t447 () (tptp.ap @t177 @t220)) % 164.15/164.32 (define @t448 () (tptp.ap tptp.c_2Ebool_2E_2F_5C @t447)) % 164.15/164.32 (define @t449 () (tptp.ap @t448 @t446)) % 164.15/164.32 (define @t450 () (tptp.ap @t362 @t449)) % 164.15/164.32 (define @t451 () (= @t225 (tptp.ap (tptp.ap @t450 @t445) @t226))) % 164.15/164.32 (define @t452 () (tptp.mem @t219 @t296)) % 164.15/164.32 (define @t453 () (not @t452)) % 164.15/164.32 (define @t454 () (tptp.mem @t220 @t271)) % 164.15/164.32 (define @t455 () (not @t454)) % 164.15/164.32 (define @t456 () (or @t248 @t455 @t453 @t451)) % 164.15/164.32 (define @t457 () (tptp.p @t446)) % 164.15/164.32 (define @t458 () (tptp.p @t36)) % 164.15/164.32 (define @t459 () (not @t458)) % 164.15/164.32 (define @t460 () (= @t459 @t457)) % 164.15/164.32 (define @t461 () (not @t460)) % 164.15/164.32 (define @t462 () (not @t459)) % 164.15/164.32 (define @t463 () (@list true true)) % 164.15/164.32 (define @t464 () (tptp.mem @t446 tptp.bool)) % 164.15/164.32 (define @t465 () (or @t305 @t453 @t464)) % 164.15/164.32 (define @t466 () (= @t36 @t446)) % 164.15/164.32 (define @t467 () (not @t464)) % 164.15/164.32 (define @t468 () (or @t316 @t467 @t460 @t466)) % 164.15/164.32 (define @t469 () (tptp.p @t447)) % 164.15/164.32 (define @t470 () (= @t459 @t469)) % 164.15/164.32 (define @t471 () (not @t470)) % 164.15/164.32 (define @t472 () (tptp.mem @t447 tptp.bool)) % 164.15/164.32 (define @t473 () (or @t281 @t455 @t472)) % 164.15/164.32 (define @t474 () (= @t36 @t447)) % 164.15/164.32 (define @t475 () (not @t472)) % 164.15/164.32 (define @t476 () (or @t316 @t475 @t470 @t474)) % 164.15/164.32 (define @t477 () (tptp.ap tptp.c_2Ebool_2E_2F_5C @t36)) % 164.15/164.32 (define @t478 () (tptp.ap @t477 @t36)) % 164.15/164.32 (define @t479 () (tptp.fo__c_2Ebool_2E_2F_5C tptp.fo__c_2Ebool_2EF tptp.fo__c_2Ebool_2EF)) % 164.15/164.32 (define @t480 () (tptp.inj__o @t479)) % 164.15/164.32 (define @t481 () (@var "BOUND_VARIABLE_7864" $$unsorted)) % 164.15/164.32 (define @t482 () (= (tptp.p (tptp.ap @t51 @t481)) (and @t19 (tptp.p @t481)))) % 164.15/164.32 (define @t483 () (not (tptp.mem @t481 tptp.bool))) % 164.15/164.32 (define @t484 () (or @t146 @t483 @t482)) % 164.15/164.32 (define @t485 () (or @t483 @t482)) % 164.15/164.32 (define @t486 () (or @t146 @t485)) % 164.15/164.32 (define @t487 () (@list @t16 @t481)) % 164.15/164.32 (define @t488 () (forall @t487 @t486)) % 164.15/164.32 (define @t489 () (@list @t481)) % 164.15/164.32 (define @t490 () (forall @t489 @t486)) % 164.15/164.32 (define @t491 () (forall @t489 @t485)) % 164.15/164.32 (define @t492 () (or @t146 @t491)) % 164.15/164.32 (define @t493 () (forall @t23 (or @t157 @t52))) % 164.15/164.32 (define @t494 () (tptp.p @t478)) % 164.15/164.32 (define @t495 () (and @t458 @t458)) % 164.15/164.32 (define @t496 () (= @t494 @t495)) % 164.15/164.32 (define @t497 () (or @t316 @t316 @t496)) % 164.15/164.32 (define @t498 () (forall @t487 @t484)) % 164.15/164.32 (define @t499 () (= @t458 @t494)) % 164.15/164.32 (define @t500 () (or @t316 @t316 @t499)) % 164.15/164.32 (define @t501 () (@list @t498)) % 164.15/164.32 (define @t502 () (not @t494)) % 164.15/164.32 (define @t503 () (@list true false)) % 164.15/164.32 (define @t504 () (tptp.p @t480)) % 164.15/164.32 (define @t505 () (= @t459 @t504)) % 164.15/164.32 (define @t506 () (not @t505)) % 164.15/164.32 (define @t507 () (= @t36 @t480)) % 164.15/164.32 (define @t508 () (tptp.mem @t480 tptp.bool)) % 164.15/164.32 (define @t509 () (not @t508)) % 164.15/164.32 (define @t510 () (or @t316 @t509 @t505 @t507)) % 164.15/164.32 (define @t511 () (tptp.ap @t363 @t445)) % 164.15/164.32 (define @t512 () (tptp.ap @t511 @t226)) % 164.15/164.32 (define @t513 () (tptp.mem @t442 @t174)) % 164.15/164.32 (define @t514 () (tptp.mem @t423 (tptp.arr @t271 @t174))) % 164.15/164.32 (define @t515 () (not @t514)) % 164.15/164.32 (define @t516 () (or @t515 @t455 @t513)) % 164.15/164.32 (define @t517 () (tptp.mem @t443 @t246)) % 164.15/164.32 (define @t518 () (not @t513)) % 164.15/164.32 (define @t519 () (or @t248 @t518 @t517)) % 164.15/164.32 (define @t520 () (tptp.mem @t441 @t218)) % 164.15/164.32 (define @t521 () (tptp.mem @t421 (tptp.arr @t296 @t218))) % 164.15/164.32 (define @t522 () (not @t521)) % 164.15/164.32 (define @t523 () (or @t522 @t453 @t520)) % 164.15/164.32 (define @t524 () (tptp.mem @t444 @t222)) % 164.15/164.32 (define @t525 () (not @t520)) % 164.15/164.32 (define @t526 () (not @t517)) % 164.15/164.32 (define @t527 () (or @t526 @t525 @t524)) % 164.15/164.32 (define @t528 () (tptp.mem @t445 @t350)) % 164.15/164.32 (define @t529 () (not @t524)) % 164.15/164.32 (define @t530 () (or @t360 @t529 @t528)) % 164.15/164.32 (define @t531 () (= @t226 @t512)) % 164.15/164.32 (define @t532 () (and (= @t445 (tptp.ap (tptp.ap @t364 @t445) @t226)) @t531)) % 164.15/164.32 (define @t533 () (not @t528)) % 164.15/164.32 (define @t534 () (or @t533 @t368 @t532)) % 164.15/164.32 (define @t535 () (tptp.ap @t443 @t422)) % 164.15/164.32 (define @t536 () (tptp.ap @t238 @t535)) % 164.15/164.32 (define @t537 () (tptp.ap @t448 @t290)) % 164.15/164.32 (define @t538 () (= @t231 (tptp.ap (tptp.ap (tptp.ap @t362 @t537) @t536) @t226))) % 164.15/164.32 (define @t539 () (or @t248 @t455 @t303 @t538)) % 164.15/164.32 (define @t540 () (tptp.fo__c_2Ebool_2E_2F_5C tptp.fo__c_2Ebool_2EF tptp.fo__c_2Ebool_2ET)) % 164.15/164.32 (define @t541 () (tptp.inj__o @t540)) % 164.15/164.32 (define @t542 () (and @t469 @t292)) % 164.15/164.32 (define @t543 () (tptp.p @t537)) % 164.15/164.32 (define @t544 () (= @t543 @t542)) % 164.15/164.32 (define @t545 () (or @t475 @t308 @t544)) % 164.15/164.32 (define @t546 () (not @t542)) % 164.15/164.32 (define @t547 () (not @t543)) % 164.15/164.32 (define @t548 () (tptp.p @t541)) % 164.15/164.32 (define @t549 () (= @t459 @t548)) % 164.15/164.32 (define @t550 () (not @t549)) % 164.15/164.32 (define @t551 () (= @t36 @t541)) % 164.15/164.32 (define @t552 () (tptp.mem @t541 tptp.bool)) % 164.15/164.32 (define @t553 () (not @t552)) % 164.15/164.32 (define @t554 () (or @t316 @t553 @t549 @t551)) % 164.15/164.32 (define @t555 () (tptp.ap @t363 @t536)) % 164.15/164.32 (define @t556 () (tptp.ap @t555 @t226)) % 164.15/164.32 (define @t557 () (tptp.mem (tptp.ap @t443 @t228) @t222)) % 164.15/164.32 (define @t558 () (or @t526 @t244 @t557)) % 164.15/164.32 (define @t559 () (tptp.mem @t535 @t222)) % 164.15/164.32 (define @t560 () (tptp.mem @t536 @t350)) % 164.15/164.32 (define @t561 () (not @t559)) % 164.15/164.32 (define @t562 () (or @t360 @t561 @t560)) % 164.15/164.32 (define @t563 () (= @t226 @t556)) % 164.15/164.32 (define @t564 () (and (= @t536 (tptp.ap (tptp.ap @t364 @t536) @t226)) @t563)) % 164.15/164.32 (define @t565 () (not @t560)) % 164.15/164.32 (define @t566 () (or @t565 @t368 @t564)) % 164.15/164.32 (define @t567 () (tptp.ap @t425 @t441)) % 164.15/164.32 (define @t568 () (tptp.ap @t238 @t567)) % 164.15/164.32 (define @t569 () (tptp.ap @t428 @t446)) % 164.15/164.32 (define @t570 () (= @t234 (tptp.ap (tptp.ap (tptp.ap @t362 @t569) @t568) @t226))) % 164.15/164.32 (define @t571 () (or @t248 @t279 @t453 @t570)) % 164.15/164.32 (define @t572 () (tptp.ap tptp.c_2Ebool_2E_2F_5C @t40)) % 164.15/164.32 (define @t573 () (tptp.ap tptp.c_2Ebool_2E_2F_5C @t375)) % 164.15/164.32 (define @t574 () (tptp.ap @t573 @t446)) % 164.15/164.32 (define @t575 () (tptp.fo__c_2Ebool_2E_2F_5C tptp.fo__c_2Ebool_2ET tptp.fo__c_2Ebool_2EF)) % 164.15/164.32 (define @t576 () (tptp.inj__o @t575)) % 164.15/164.32 (define @t577 () (and @t252 @t457)) % 164.15/164.32 (define @t578 () (tptp.p @t569)) % 164.15/164.32 (define @t579 () (= @t578 @t577)) % 164.15/164.32 (define @t580 () (or @t284 @t467 @t579)) % 164.15/164.32 (define @t581 () (not @t577)) % 164.15/164.32 (define @t582 () (not @t578)) % 164.15/164.32 (define @t583 () (tptp.p @t576)) % 164.15/164.32 (define @t584 () (= @t459 @t583)) % 164.15/164.32 (define @t585 () (not @t584)) % 164.15/164.32 (define @t586 () (= @t36 @t576)) % 164.15/164.32 (define @t587 () (tptp.mem @t576 tptp.bool)) % 164.15/164.32 (define @t588 () (not @t587)) % 164.15/164.32 (define @t589 () (or @t316 @t588 @t584 @t586)) % 164.15/164.32 (define @t590 () (tptp.ap @t363 @t568)) % 164.15/164.32 (define @t591 () (tptp.ap @t590 @t226)) % 164.15/164.32 (define @t592 () (tptp.mem (tptp.ap @t236 @t441) @t222)) % 164.15/164.32 (define @t593 () (or @t355 @t525 @t592)) % 164.15/164.32 (define @t594 () (tptp.mem @t567 @t222)) % 164.15/164.32 (define @t595 () (tptp.mem @t568 @t350)) % 164.15/164.32 (define @t596 () (not @t594)) % 164.15/164.32 (define @t597 () (or @t360 @t596 @t595)) % 164.15/164.32 (define @t598 () (= @t226 @t591)) % 164.15/164.32 (define @t599 () (and (= @t568 (tptp.ap (tptp.ap @t364 @t568) @t226)) @t598)) % 164.15/164.32 (define @t600 () (not @t595)) % 164.15/164.32 (define @t601 () (or @t600 @t368 @t599)) % 164.15/164.32 (define @t602 () (= @t40 @t336)) % 164.15/164.32 (define @t603 () (tptp.ap @t573 @t290)) % 164.15/164.32 (define @t604 () (and @t439 @t437 @t433 @t283 @t307 @t332 @t391 @t365 @t602)) % 164.15/164.32 (define @t605 () (not @t602)) % 164.15/164.32 (define @t606 () (not @t332)) % 164.15/164.32 (define @t607 () (not @t307)) % 164.15/164.32 (define @t608 () (not @t283)) % 164.15/164.32 (define @t609 () (tptp.p @t336)) % 164.15/164.32 (define @t610 () (and @t314 @t314)) % 164.15/164.32 (define @t611 () (= @t609 @t610)) % 164.15/164.32 (define @t612 () (or @t333 @t333 @t611)) % 164.15/164.32 (define @t613 () (= @t314 @t609)) % 164.15/164.32 (define @t614 () (or @t333 @t333 @t613)) % 164.15/164.32 (define @t615 () (= @t256 @t609)) % 164.15/164.32 (define @t616 () (not @t615)) % 164.15/164.32 (define @t617 () (tptp.mem @t336 tptp.bool)) % 164.15/164.32 (define @t618 () (not @t617)) % 164.15/164.32 (define @t619 () (or @t286 @t618 @t615 @t602)) % 164.15/164.32 (define @t620 () (tptp.fo__c_2Ebool_2E_2F_5C tptp.fo__c_2Ebool_2ET tptp.fo__c_2Ebool_2ET)) % 164.15/164.32 (define @t621 () (tptp.inj__o @t620)) % 164.15/164.32 (define @t622 () (tptp.mem @t621 tptp.bool)) % 164.15/164.32 (define @t623 () (not @t622)) % 164.15/164.32 (define @t624 () (= @t621 (tptp.ap @t572 @t40))) % 164.15/164.32 (define @t625 () (not @t624)) % 164.15/164.32 (define @t626 () (and @t622 @t624 @t283 @t307 @t332 @t618)) % 164.15/164.32 (assume @p1 @t14) % 164.15/164.32 (assume @p2 @t28) % 164.15/164.32 (assume @p3 (forall @t13 (=> @t11 (forall (@list @t29) (=> (tptp.mem @t29 @t10) (=> (forall @t8 (=> @t7 (= @t4 (tptp.ap @t29 @t2)))) (= @t3 @t29))))))) % 164.15/164.32 (assume @p4 (forall (@list @t6 @t30 @t2) (=> @t7 (= (tptp.ap (tptp.k @t6 @t30) @t2) @t30)))) % 164.15/164.32 (assume @p5 (forall @t31 (=> @t7 (= (tptp.ap (tptp.i @t6) @t2) @t2)))) % 164.15/164.32 (assume @p6 (forall @t34 (= (tptp.surj__o @t33) @t32))) % 164.15/164.32 (assume @p7 (forall @t34 (tptp.mem @t33 tptp.bool))) % 164.15/164.32 (assume @p8 (forall @t8 (=> (tptp.mem @t2 tptp.bool) (= @t2 (tptp.inj__o (tptp.surj__o @t2)))))) % 164.15/164.32 (assume @p9 @t35) % 164.15/164.32 (assume @p10 (= @t36 tptp.c_2Ebool_2EF)) % 164.15/164.32 (assume @p11 @t38) % 164.15/164.32 (assume @p12 @t39) % 164.15/164.32 (assume @p13 (= @t40 tptp.c_2Ebool_2ET)) % 164.15/164.32 (assume @p14 @t41) % 164.15/164.32 (assume @p15 (forall @t45 (tptp.mem @t44 @t43))) % 164.15/164.32 (assume @p16 (forall @t45 (tptp.mem @t46 (tptp.arr @t43 @t42)))) % 164.15/164.32 (assume @p17 (forall @t45 (tptp.mem @t47 (tptp.arr @t42 @t43)))) % 164.15/164.32 (assume @p18 (forall @t45 (tptp.mem @t48 (tptp.arr @t43 tptp.bool)))) % 164.15/164.32 (assume @p19 (tptp.mem tptp.c_2Ebool_2E_2F_5C (tptp.arr tptp.bool (tptp.arr tptp.bool tptp.bool)))) % 164.15/164.32 (assume @p20 (forall (@list @t50 @t49) (= (tptp.inj__o (tptp.fo__c_2Ebool_2E_2F_5C @t50 @t49)) (tptp.ap (tptp.ap tptp.c_2Ebool_2E_2F_5C (tptp.inj__o @t50)) (tptp.inj__o @t49))))) % 164.15/164.32 (assume @p21 @t55) % 164.15/164.32 (assume @p22 (forall @t45 (tptp.mem @t56 (tptp.arr tptp.bool (tptp.arr @t42 (tptp.arr @t42 @t42)))))) % 164.15/164.32 (assume @p23 (forall (@list @t42 @t59 @t57) (tptp.mem @t62 (tptp.arr @t61 (tptp.arr @t60 (tptp.arr @t58 @t43)))))) % 164.15/164.32 (assume @p24 (forall @t45 (tptp.mem (tptp.c_2Emin_2E_3D @t42) (tptp.arr @t42 @t63)))) % 164.15/164.32 (assume @p25 (forall @t31 (=> @t7 (forall (@list @t30) (=> (tptp.mem @t30 @t6) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2Emin_2E_3D @t6) @t2) @t30)) (= @t2 @t30))))))) % 164.15/164.32 (assume @p26 (forall @t45 (tptp.mem (tptp.c_2Ebool_2E_21 @t42) (tptp.arr @t63 tptp.bool)))) % 164.15/164.32 (assume @p27 (forall (@list @t6 @t16) (=> (tptp.mem @t16 (tptp.arr @t6 tptp.bool)) (= (tptp.p (tptp.ap (tptp.c_2Ebool_2E_21 @t6) @t16)) (forall @t8 (=> @t7 (tptp.p (tptp.ap @t16 @t2)))))))) % 164.15/164.32 (assume @p28 true) % 164.15/164.32 (assume @p29 (forall (@list @t64) (and (= (and true @t65) @t65) (= (and @t65 true) @t65) (= (and false @t65) false) (= (and @t65 false) false) (= (and @t65 @t65) @t65)))) % 164.15/164.32 (assume @p30 (forall @t68 (=> @t67 (= (= @t66 @t66) true)))) % 164.15/164.32 (assume @p31 @t83) % 164.15/164.32 (assume @p32 (forall @t68 (=> @t67 (forall (@list @t84) (=> (tptp.mem @t84 @t42) (= (= @t85 (tptp.ap @t47 @t84)) (= @t66 @t84))))))) % 164.15/164.32 (assume @p33 @t92) % 164.15/164.32 (assume @p34 @t95) % 164.15/164.32 (assume @p35 @t119) % 164.15/164.32 (assume @p36 @t140) % 164.15/164.32 (step @p37 :rule refl :args (@t142)) % 164.15/164.32 (step @p38 :rule eq-symm :args (@t143 @t144)) % 164.15/164.32 (step @p39 :rule refl :args (@t145)) % 164.15/164.32 (step @p40 :rule refl :args (@t146)) % 164.15/164.32 (step @p41 :rule nary_cong :premises (@p40 @p39 @p38 @p37) :args (@t148)) % 164.15/164.32 (step @p42 :rule aci_norm :args ((= @t150 @t148))) % 164.15/164.32 (step @p43 :rule trans :premises (@p42 @p41)) % 164.15/164.32 (step @p44 :rule cong :premises (@p43) :args (@t151)) % 164.15/164.32 (step @p45 :rule quant-merge-prenex :args ((= (forall @t27 @t153) @t151))) % 164.15/164.32 (step @p46 :rule alpha_equiv :args (@t154 (@list @t141) @t155)) % 164.15/164.32 (step @p47 :rule refl :args (@t146)) % 164.15/164.32 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t156)) % 164.15/164.32 (step @p49 :rule quant-miniscope-or :args ((= @t153 @t156))) % 164.15/164.32 (step @p50 :rule trans :premises (@p49 @p48)) % 164.15/164.32 (step @p51 :rule symm :premises (@p50)) % 164.15/164.32 (step @p52 :rule cong :premises (@p51) :args ((forall @t27 (or @t146 @t158)))) % 164.15/164.32 (step @p53 :rule trans :premises (@p52 @p45)) % 164.15/164.32 (step @p54 :rule trans :premises (@p53 @p44)) % 164.15/164.32 (step @p55 :rule bool-impl-elim :args (@t25 @t158)) % 164.15/164.32 (step @p56 :rule cong :premises (@p55) :args ((forall @t27 (=> @t25 @t158)))) % 164.15/164.32 (step @p57 :rule trans :premises (@p56 @p54)) % 164.15/164.32 (step @p58 :rule refl :args (@t17)) % 164.15/164.32 (step @p59 :rule eq-symm :args (@t144 @t18)) % 164.15/164.32 (step @p60 :rule refl :args (@t157)) % 164.15/164.32 (step @p61 :rule nary_cong :premises (@p60 @p59 @p58) :args (@t160)) % 164.15/164.32 (step @p62 :rule cong :premises (@p61) :args ((forall @t23 @t160))) % 164.15/164.32 (step @p63 :rule aci_norm :args ((= (or @t157 (or @t159 @t17)) @t160))) % 164.15/164.32 (step @p64 :rule refl :args (@t17)) % 164.15/164.32 (step @p65 :rule bool-not-eq-elim1 :args (@t19 @t18)) % 164.15/164.32 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or (not @t20) @t17))) % 164.15/164.32 (step @p67 :rule bool-impl-elim :args (@t20 @t17)) % 164.15/164.32 (step @p68 :rule trans :premises (@p67 @p66)) % 164.15/164.32 (step @p69 :rule refl :args (@t157)) % 164.15/164.32 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t157 @t21))) % 164.15/164.32 (step @p71 :rule trans :premises (@p70 @p63)) % 164.15/164.32 (step @p72 :rule bool-impl-elim :args (@t22 @t21)) % 164.15/164.32 (step @p73 :rule trans :premises (@p72 @p71)) % 164.15/164.32 (step @p74 :rule cong :premises (@p73) :args (@t24)) % 164.15/164.32 (step @p75 :rule trans :premises (@p74 @p62)) % 164.15/164.32 (step @p76 :rule refl :args (@t25)) % 164.15/164.32 (step @p77 :rule cong :premises (@p76 @p75) :args (@t26)) % 164.15/164.32 (step @p78 :rule cong :premises (@p77) :args (@t28)) % 164.15/164.32 (step @p79 :rule trans :premises (@p78 @p57)) % 164.15/164.32 (step @p80 :rule eq_resolve :premises (@p2 @p79)) % 164.15/164.32 (step @p81 :rule instantiate :premises (@p80) :args ((@list @t40 @t178))) % 164.15/164.32 (step @p82 :rule refl :args (@t180)) % 164.15/164.32 (step @p83 :rule quant-merge-prenex :args ((= @t183 (forall (@list @t181 @t66) @t182)))) % 164.15/164.32 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((and @t183 @t180))) % 164.15/164.32 (step @p85 :rule alpha_equiv :args (@t185 @t186 (@list @t179))) % 164.15/164.32 (step @p86 :rule alpha_equiv :args (@t188 @t186 (@list @t181))) % 164.15/164.32 (step @p87 :rule nary_cong :premises (@p86 @p85) :args (@t189)) % 164.15/164.32 (step @p88 :rule quant-miniscope-and :args ((= (forall @t45 (and @t187 @t184)) @t189))) % 164.15/164.32 (step @p89 :rule trans :premises (@p88 @p87)) % 164.15/164.32 (step @p90 :rule trans :premises (@p89 @p84)) % 164.15/164.32 (step @p91 :rule bool-eq-false :args (@t86)) % 164.15/164.32 (step @p92 :rule bool-impl-elim :args (@t67 @t87)) % 164.15/164.32 (step @p93 :rule cong :premises (@p92) :args ((forall @t89 (=> @t67 @t87)))) % 164.15/164.32 (step @p94 :rule bool-eq-true :args (@t87)) % 164.15/164.32 (step @p95 :rule refl :args (@t67)) % 164.15/164.32 (step @p96 :rule cong :premises (@p95 @p94) :args (@t88)) % 164.15/164.32 (step @p97 :rule cong :premises (@p96) :args (@t90)) % 164.15/164.32 (step @p98 :rule trans :premises (@p97 @p93)) % 164.15/164.32 (step @p99 :rule nary_cong :premises (@p98 @p91) :args (@t91)) % 164.15/164.32 (step @p100 :rule cong :premises (@p99) :args (@t92)) % 164.15/164.32 (step @p101 :rule trans :premises (@p100 @p90)) % 164.15/164.32 (step @p102 :rule eq_resolve :premises (@p33 @p101)) % 164.15/164.32 (step @p103 :rule and_elim :premises (@p102) :args (0)) % 164.15/164.32 (step @p104 :rule instantiate :premises (@p103) :args (@t190)) % 164.15/164.32 (step @p105 :rule aci_norm :args ((= @t192 @t170))) % 164.15/164.32 (step @p106 :rule cong :premises (@p105) :args (@t193)) % 164.15/164.32 (step @p107 :rule quant-merge-prenex :args ((= (forall @t118 @t195) @t193))) % 164.15/164.32 (step @p108 :rule alpha_equiv :args (@t196 (@list @t164 @t162) (@list @t98 @t197))) % 164.15/164.32 (step @p109 :rule refl :args (@t169)) % 164.15/164.32 (step @p110 :rule nary_cong :premises (@p109 @p108) :args (@t198)) % 164.15/164.32 (step @p111 :rule quant-miniscope-or :args ((= @t195 @t198))) % 164.15/164.32 (step @p112 :rule trans :premises (@p111 @p110)) % 164.15/164.32 (step @p113 :rule symm :premises (@p112)) % 164.15/164.32 (step @p114 :rule cong :premises (@p113) :args ((forall @t118 (or @t169 @t206)))) % 164.15/164.32 (step @p115 :rule trans :premises (@p114 @p107)) % 164.15/164.32 (step @p116 :rule trans :premises (@p115 @p106)) % 164.15/164.32 (step @p117 :rule bool-impl-elim :args (@t116 @t206)) % 164.15/164.32 (step @p118 :rule cong :premises (@p117) :args ((forall @t118 (=> @t116 @t206)))) % 164.15/164.32 (step @p119 :rule trans :premises (@p118 @p116)) % 164.15/164.32 (step @p120 :rule aci_norm :args ((= @t208 @t204))) % 164.15/164.32 (step @p121 :rule cong :premises (@p120) :args (@t209)) % 164.15/164.32 (step @p122 :rule quant-merge-prenex :args ((= (forall @t114 @t211) @t209))) % 164.15/164.32 (step @p123 :rule alpha_equiv :args (@t212 (@list @t197) @t213)) % 164.15/164.32 (step @p124 :rule refl :args (@t203)) % 164.15/164.32 (step @p125 :rule nary_cong :premises (@p124 @p123) :args (@t214)) % 164.15/164.32 (step @p126 :rule quant-miniscope-or :args ((= @t211 @t214))) % 164.15/164.32 (step @p127 :rule trans :premises (@p126 @p125)) % 164.15/164.32 (step @p128 :rule symm :premises (@p127)) % 164.15/164.32 (step @p129 :rule cong :premises (@p128) :args ((forall @t114 (or @t203 @t216)))) % 164.15/164.32 (step @p130 :rule trans :premises (@p129 @p122)) % 164.15/164.32 (step @p131 :rule trans :premises (@p130 @p121)) % 164.15/164.32 (step @p132 :rule bool-impl-elim :args (@t135 @t216)) % 164.15/164.32 (step @p133 :rule cong :premises (@p132) :args ((forall @t114 (=> @t135 @t216)))) % 164.15/164.32 (step @p134 :rule trans :premises (@p133 @p131)) % 164.15/164.32 (step @p135 :rule bool-impl-elim :args (@t132 @t215)) % 164.15/164.32 (step @p136 :rule cong :premises (@p135) :args ((forall @t110 (=> @t132 @t215)))) % 164.15/164.32 (step @p137 :rule eq-symm :args (@t122 @t44)) % 164.15/164.32 (step @p138 :rule eq-symm :args (@t125 @t44)) % 164.15/164.32 (step @p139 :rule eq-symm :args (@t128 @t44)) % 164.15/164.32 (step @p140 :rule refl :args (@t130)) % 164.15/164.32 (step @p141 :rule nary_cong :premises (@p140 @p139 @p138 @p137) :args (@t131)) % 164.15/164.32 (step @p142 :rule refl :args (@t132)) % 164.15/164.32 (step @p143 :rule cong :premises (@p142 @p141) :args (@t133)) % 164.15/164.32 (step @p144 :rule cong :premises (@p143) :args (@t134)) % 164.15/164.32 (step @p145 :rule trans :premises (@p144 @p136)) % 164.15/164.32 (step @p146 :rule refl :args (@t135)) % 164.15/164.32 (step @p147 :rule cong :premises (@p146 @p145) :args (@t136)) % 164.15/164.32 (step @p148 :rule cong :premises (@p147) :args (@t137)) % 164.15/164.32 (step @p149 :rule trans :premises (@p148 @p134)) % 164.15/164.32 (step @p150 :rule refl :args (@t116)) % 164.15/164.32 (step @p151 :rule cong :premises (@p150 @p149) :args (@t138)) % 164.15/164.32 (step @p152 :rule cong :premises (@p151) :args (@t139)) % 164.15/164.32 (step @p153 :rule trans :premises (@p152 @p119)) % 164.15/164.32 (step @p154 :rule cong :premises (@p153) :args (@t140)) % 164.15/164.32 (step @p155 :rule eq_resolve :premises (@p36 @p154)) % 164.15/164.32 (step @p156 :rule skolemize :premises (@p155)) % 164.15/164.32 (step @p157 :rule bool-double-not-elim :args (@t217)) % 164.15/164.32 (step @p158 :rule refl :args (@t249)) % 164.15/164.32 (step @p159 :rule nary_cong :premises (@p158 @p157) :args ((or @t249 (not @t245)))) % 164.15/164.32 (step @p160 :rule cnf_or_neg :args (@t249 1)) % 164.15/164.32 (step @p161 :rule eq_resolve :premises (@p160 @p159)) % 164.15/164.32 (step @p162 :rule reordering :premises (@p161) :args ((or @t217 @t249))) % 164.15/164.32 (step @p163 :rule chain_m_resolution :premises (@p162 @p156) :args (@t217 @t250 @t251)) % 164.15/164.32 (step @p164 :rule cnf_or_pos :args (@t253)) % 164.15/164.32 (step @p165 :rule reordering :premises (@p164) :args ((or @t245 @t252 (not @t253)))) % 164.15/164.32 (step @p166 :rule chain_m_resolution :premises (@p165 @p163 @p104) :args (@t252 @t254 (@list @t217 @t253))) % 164.15/164.32 (step @p167 :rule symm :premises (@p13)) % 164.15/164.32 (step @p168 :rule cong :premises (@p167) :args (@t41)) % 164.15/164.32 (step @p169 :rule eq_resolve :premises (@p14 @p168)) % 164.15/164.32 (step @p170 :rule cnf_equiv_pos2 :args (@t257)) % 164.15/164.32 (step @p171 :rule reordering :premises (@p170) :args ((or @t256 (not @t252) @t258))) % 164.15/164.32 (step @p172 :rule chain_m_resolution :premises (@p171 @p169 @p166) :args (@t258 @t254 (@list @t255 @t252))) % 164.15/164.32 (step @p173 :rule aci_norm :args ((= @t264 (or @t262 @t261 @t260)))) % 164.15/164.32 (step @p174 :rule cong :premises (@p173) :args (@t265)) % 164.15/164.32 (step @p175 :rule quant-merge-prenex :args ((= (forall @t13 @t267) @t265))) % 164.15/164.32 (step @p176 :rule alpha_equiv :args (@t268 (@list @t259) (@list @t2))) % 164.15/164.32 (step @p177 :rule refl :args (@t262)) % 164.15/164.32 (step @p178 :rule nary_cong :premises (@p177 @p176) :args (@t269)) % 164.15/164.32 (step @p179 :rule quant-miniscope-or :args ((= @t267 @t269))) % 164.15/164.32 (step @p180 :rule trans :premises (@p179 @p178)) % 164.15/164.32 (step @p181 :rule symm :premises (@p180)) % 164.15/164.32 (step @p182 :rule cong :premises (@p181) :args ((forall @t13 (or @t262 @t270)))) % 164.15/164.32 (step @p183 :rule trans :premises (@p182 @p175)) % 164.15/164.32 (step @p184 :rule trans :premises (@p183 @p174)) % 164.15/164.32 (step @p185 :rule bool-impl-elim :args (@t11 @t270)) % 164.15/164.32 (step @p186 :rule cong :premises (@p185) :args ((forall @t13 (=> @t11 @t270)))) % 164.15/164.32 (step @p187 :rule trans :premises (@p186 @p184)) % 164.15/164.32 (step @p188 :rule bool-impl-elim :args (@t7 @t5)) % 164.15/164.32 (step @p189 :rule cong :premises (@p188) :args (@t9)) % 164.15/164.32 (step @p190 :rule refl :args (@t11)) % 164.15/164.32 (step @p191 :rule cong :premises (@p190 @p189) :args (@t12)) % 164.15/164.32 (step @p192 :rule cong :premises (@p191) :args (@t14)) % 164.15/164.32 (step @p193 :rule trans :premises (@p192 @p187)) % 164.15/164.32 (step @p194 :rule eq_resolve :premises (@p1 @p193)) % 164.15/164.32 (step @p195 :rule instantiate :premises (@p194) :args ((@list @t271 tptp.bool @t177 @t176))) % 164.15/164.32 (step @p196 :rule instantiate :premises (@p18) :args (@t272)) % 164.15/164.32 (step @p197 :rule instantiate :premises (@p194) :args ((@list @t174 @t271 @t175 @t173))) % 164.15/164.32 (step @p198 :rule instantiate :premises (@p17) :args (@t272)) % 164.15/164.32 (step @p199 :rule cnf_or_pos :args (@t276)) % 164.15/164.32 (step @p200 :rule reordering :premises (@p199) :args ((or @t245 @t273 @t275 (not @t276)))) % 164.15/164.32 (step @p201 :rule chain_m_resolution :premises (@p200 @p163 @p198 @p197) :args (@t273 @t277 (@list @t217 @t274 @t276))) % 164.15/164.32 (step @p202 :rule cnf_or_pos :args (@t282)) % 164.15/164.32 (step @p203 :rule reordering :premises (@p202) :args ((or @t279 @t278 @t281 (not @t282)))) % 164.15/164.32 (step @p204 :rule chain_m_resolution :premises (@p203 @p201 @p196 @p195) :args (@t278 @t277 (@list @t273 @t280 @t282))) % 164.15/164.32 (step @p205 :rule refl :args (tptp.bool)) % 164.15/164.32 (step @p206 :rule cong :premises (@p167 @p205) :args (@t39)) % 164.15/164.32 (step @p207 :rule eq_resolve :premises (@p12 @p206)) % 164.15/164.32 (step @p208 :rule cnf_or_pos :args (@t287)) % 164.15/164.32 (step @p209 :rule reordering :premises (@p208) :args ((or @t286 @t284 @t257 @t283 (not @t287)))) % 164.15/164.32 (step @p210 :rule chain_m_resolution :premises (@p209 @p207 @p204 @p172 @p81) :args (@t283 @t288 (@list @t285 @t278 @t257 @t287))) % 164.15/164.32 (step @p211 :rule instantiate :premises (@p80) :args ((@list @t40 @t290))) % 164.15/164.32 (step @p212 :rule instantiate :premises (@p103) :args (@t291)) % 164.15/164.32 (step @p213 :rule bool-double-not-elim :args (@t243)) % 164.15/164.32 (step @p214 :rule nary_cong :premises (@p158 @p213) :args ((or @t249 (not @t244)))) % 164.15/164.32 (step @p215 :rule cnf_or_neg :args (@t249 2)) % 164.15/164.32 (step @p216 :rule eq_resolve :premises (@p215 @p214)) % 164.15/164.32 (step @p217 :rule reordering :premises (@p216) :args ((or @t243 @t249))) % 164.15/164.32 (step @p218 :rule chain_m_resolution :premises (@p217 @p156) :args (@t243 @t250 @t251)) % 164.15/164.32 (step @p219 :rule cnf_or_pos :args (@t293)) % 164.15/164.32 (step @p220 :rule reordering :premises (@p219) :args ((or @t244 @t292 (not @t293)))) % 164.15/164.32 (step @p221 :rule chain_m_resolution :premises (@p220 @p218 @p212) :args (@t292 @t254 (@list @t243 @t293))) % 164.15/164.32 (step @p222 :rule cnf_equiv_pos2 :args (@t294)) % 164.15/164.32 (step @p223 :rule reordering :premises (@p222) :args ((or @t256 (not @t292) @t295))) % 164.15/164.32 (step @p224 :rule chain_m_resolution :premises (@p223 @p169 @p221) :args (@t295 @t254 (@list @t255 @t292))) % 164.15/164.32 (step @p225 :rule instantiate :premises (@p194) :args ((@list @t296 tptp.bool @t289 @t230))) % 164.15/164.32 (step @p226 :rule instantiate :premises (@p18) :args (@t297)) % 164.15/164.32 (step @p227 :rule instantiate :premises (@p194) :args ((@list @t218 @t296 @t229 @t228))) % 164.15/164.32 (step @p228 :rule instantiate :premises (@p17) :args (@t297)) % 164.15/164.32 (step @p229 :rule cnf_or_pos :args (@t301)) % 164.15/164.32 (step @p230 :rule reordering :premises (@p229) :args ((or @t244 @t298 @t300 (not @t301)))) % 164.15/164.32 (step @p231 :rule chain_m_resolution :premises (@p230 @p218 @p228 @p227) :args (@t298 @t277 (@list @t243 @t299 @t301))) % 164.15/164.32 (step @p232 :rule cnf_or_pos :args (@t306)) % 164.15/164.32 (step @p233 :rule reordering :premises (@p232) :args ((or @t303 @t302 @t305 (not @t306)))) % 164.15/164.32 (step @p234 :rule chain_m_resolution :premises (@p233 @p231 @p226 @p225) :args (@t302 @t277 (@list @t298 @t304 @t306))) % 164.15/164.32 (step @p235 :rule cnf_or_pos :args (@t309)) % 164.15/164.32 (step @p236 :rule reordering :premises (@p235) :args ((or @t286 @t308 @t294 @t307 (not @t309)))) % 164.15/164.32 (step @p237 :rule chain_m_resolution :premises (@p236 @p207 @p234 @p224 @p211) :args (@t307 @t288 (@list @t285 @t302 @t294 @t309))) % 164.15/164.32 (step @p238 :rule instantiate :premises (@p20) :args ((@list tptp.fo__c_2Ebool_2ET tptp.fo__c_2Ebool_2ET))) % 164.15/164.32 (step @p239 :rule instantiate :premises (@p80) :args ((@list @t40 @t313))) % 164.15/164.32 (step @p240 :rule instantiate :premises (@p103) :args ((@list tptp.bool @t36))) % 164.15/164.32 (step @p241 :rule symm :premises (@p10)) % 164.15/164.32 (step @p242 :rule cong :premises (@p241 @p205) :args (@t35)) % 164.15/164.32 (step @p243 :rule eq_resolve :premises (@p9 @p242)) % 164.15/164.32 (step @p244 :rule cnf_or_pos :args (@t317)) % 164.15/164.32 (step @p245 :rule reordering :premises (@p244) :args ((or @t316 @t314 (not @t317)))) % 164.15/164.32 (step @p246 :rule chain_m_resolution :premises (@p245 @p243 @p240) :args (@t314 @t254 (@list @t315 @t317))) % 164.15/164.32 (step @p247 :rule cnf_equiv_pos2 :args (@t318)) % 164.15/164.32 (step @p248 :rule reordering :premises (@p247) :args ((or @t256 @t320 @t319))) % 164.15/164.32 (step @p249 :rule chain_m_resolution :premises (@p248 @p169 @p246) :args (@t319 @t254 (@list @t255 @t314))) % 164.15/164.32 (step @p250 :rule instantiate :premises (@p194) :args ((@list @t321 tptp.bool @t312 @t311))) % 164.15/164.32 (step @p251 :rule instantiate :premises (@p194) :args ((@list tptp.bool @t321 @t310 @t36))) % 164.15/164.32 (step @p252 :rule instantiate :premises (@p17) :args (@t322)) % 164.15/164.32 (step @p253 :rule cnf_or_pos :args (@t326)) % 164.15/164.32 (step @p254 :rule reordering :premises (@p253) :args ((or @t316 @t325 @t323 (not @t326)))) % 164.15/164.32 (step @p255 :rule chain_m_resolution :premises (@p254 @p243 @p252 @p251) :args (@t323 @t277 (@list @t315 @t324 @t326))) % 164.15/164.32 (step @p256 :rule instantiate :premises (@p18) :args (@t322)) % 164.15/164.32 (step @p257 :rule cnf_or_pos :args (@t331)) % 164.15/164.32 (step @p258 :rule reordering :premises (@p257) :args ((or @t330 @t328 @t327 (not @t331)))) % 164.15/164.32 (step @p259 :rule chain_m_resolution :premises (@p258 @p256 @p255 @p250) :args (@t327 @t277 (@list @t329 @t323 @t331))) % 164.15/164.32 (step @p260 :rule cnf_or_pos :args (@t334)) % 164.15/164.32 (step @p261 :rule reordering :premises (@p260) :args ((or @t286 @t333 @t318 @t332 (not @t334)))) % 164.15/164.32 (step @p262 :rule chain_m_resolution :premises (@p261 @p207 @p259 @p249 @p239) :args (@t332 @t288 (@list @t285 @t327 @t318 @t334))) % 164.15/164.32 (step @p263 :rule instantiate :premises (@p80) :args ((@list @t40 @t336))) % 164.15/164.32 (step @p264 :rule aci_norm :args ((= @t342 (or @t340 @t339 @t338)))) % 164.15/164.32 (step @p265 :rule cong :premises (@p264) :args (@t343)) % 164.15/164.32 (step @p266 :rule quant-merge-prenex :args ((= (forall @t82 @t345) @t343))) % 164.15/164.32 (step @p267 :rule alpha_equiv :args (@t346 (@list @t337) (@list @t69))) % 164.15/164.32 (step @p268 :rule refl :args (@t340)) % 164.15/164.32 (step @p269 :rule nary_cong :premises (@p268 @p267) :args (@t347)) % 164.15/164.32 (step @p270 :rule quant-miniscope-or :args ((= @t345 @t347))) % 164.15/164.32 (step @p271 :rule trans :premises (@p270 @p269)) % 164.15/164.32 (step @p272 :rule symm :premises (@p271)) % 164.15/164.32 (step @p273 :rule cong :premises (@p272) :args ((forall @t82 (or @t340 @t349)))) % 164.15/164.32 (step @p274 :rule trans :premises (@p273 @p266)) % 164.15/164.32 (step @p275 :rule trans :premises (@p274 @p265)) % 164.15/164.32 (step @p276 :rule bool-impl-elim :args (@t80 @t349)) % 164.15/164.32 (step @p277 :rule cong :premises (@p276) :args ((forall @t82 (=> @t80 @t349)))) % 164.15/164.32 (step @p278 :rule trans :premises (@p277 @p275)) % 164.15/164.32 (step @p279 :rule bool-impl-elim :args (@t76 @t348)) % 164.15/164.32 (step @p280 :rule cong :premises (@p279) :args ((forall @t78 (=> @t76 @t348)))) % 164.15/164.32 (step @p281 :rule eq-symm :args (@t72 @t69)) % 164.15/164.32 (step @p282 :rule eq-symm :args (@t74 @t70)) % 164.15/164.32 (step @p283 :rule nary_cong :premises (@p282 @p281) :args (@t75)) % 164.15/164.32 (step @p284 :rule refl :args (@t76)) % 164.15/164.32 (step @p285 :rule cong :premises (@p284 @p283) :args (@t77)) % 164.15/164.32 (step @p286 :rule cong :premises (@p285) :args (@t79)) % 164.15/164.32 (step @p287 :rule trans :premises (@p286 @p280)) % 164.15/164.32 (step @p288 :rule refl :args (@t80)) % 164.15/164.32 (step @p289 :rule cong :premises (@p288 @p287) :args (@t81)) % 164.15/164.32 (step @p290 :rule cong :premises (@p289) :args (@t83)) % 164.15/164.32 (step @p291 :rule trans :premises (@p290 @p278)) % 164.15/164.32 (step @p292 :rule eq_resolve :premises (@p31 @p291)) % 164.15/164.32 (step @p293 :rule instantiate :premises (@p292) :args ((@list @t350 @t239 @t226))) % 164.15/164.32 (step @p294 :rule instantiate :premises (@p194) :args ((@list @t222 @t350 @t238 @t237))) % 164.15/164.32 (step @p295 :rule instantiate :premises (@p17) :args (@t351)) % 164.15/164.32 (step @p296 :rule instantiate :premises (@p194) :args ((@list @t218 @t222 @t236 @t228))) % 164.15/164.32 (step @p297 :rule instantiate :premises (@p194) :args ((@list @t174 @t246 @t221 @t173))) % 164.15/164.32 (step @p298 :rule bool-double-not-elim :args (@t247)) % 164.15/164.32 (step @p299 :rule nary_cong :premises (@p158 @p298) :args ((or @t249 (not @t248)))) % 164.15/164.32 (step @p300 :rule cnf_or_neg :args (@t249 0)) % 164.15/164.32 (step @p301 :rule eq_resolve :premises (@p300 @p299)) % 164.15/164.32 (step @p302 :rule reordering :premises (@p301) :args ((or @t247 @t249))) % 164.15/164.32 (step @p303 :rule chain_m_resolution :premises (@p302 @p156) :args (@t247 @t250 @t251)) % 164.15/164.32 (step @p304 :rule cnf_or_pos :args (@t353)) % 164.15/164.32 (step @p305 :rule reordering :premises (@p304) :args ((or @t248 @t245 @t352 (not @t353)))) % 164.15/164.32 (step @p306 :rule chain_m_resolution :premises (@p305 @p303 @p163 @p297) :args (@t352 @t277 (@list @t247 @t217 @t353))) % 164.15/164.32 (step @p307 :rule cnf_or_pos :args (@t356)) % 164.15/164.32 (step @p308 :rule reordering :premises (@p307) :args ((or @t244 @t354 @t355 (not @t356)))) % 164.15/164.32 (step @p309 :rule chain_m_resolution :premises (@p308 @p218 @p306 @p296) :args (@t354 @t277 (@list @t243 @t352 @t356))) % 164.15/164.32 (step @p310 :rule cnf_or_pos :args (@t361)) % 164.15/164.32 (step @p311 :rule reordering :premises (@p310) :args ((or @t358 @t360 @t357 (not @t361)))) % 164.15/164.32 (step @p312 :rule chain_m_resolution :premises (@p311 @p309 @p295 @p294) :args (@t357 @t277 (@list @t354 @t359 @t361))) % 164.15/164.32 (step @p313 :rule instantiate :premises (@p15) :args (@t351)) % 164.15/164.32 (step @p314 :rule cnf_or_pos :args (@t370)) % 164.15/164.32 (step @p315 :rule reordering :premises (@p314) :args ((or @t368 @t369 @t366 (not @t370)))) % 164.15/164.32 (step @p316 :rule chain_m_resolution :premises (@p315 @p313 @p312 @p293) :args (@t366 @t277 (@list @t367 @t357 @t370))) % 164.15/164.32 (step @p317 :rule cnf_and_pos :args (@t366 0)) % 164.15/164.32 (step @p318 :rule reordering :premises (@p317) :args ((or @t365 (not @t366)))) % 164.15/164.32 (step @p319 :rule chain_m_resolution :premises (@p318 @p316) :args (@t365 @t371 (@list @t366))) % 164.15/164.32 (step @p320 :rule instantiate :premises (@p80) :args ((@list @t40 @t375))) % 164.15/164.32 (step @p321 :rule instantiate :premises (@p103) :args ((@list @t246 @t236))) % 164.15/164.32 (step @p322 :rule cnf_or_pos :args (@t377)) % 164.15/164.32 (step @p323 :rule reordering :premises (@p322) :args ((or @t355 @t376 (not @t377)))) % 164.15/164.32 (step @p324 :rule chain_m_resolution :premises (@p323 @p306 @p321) :args (@t376 @t254 (@list @t352 @t377))) % 164.15/164.32 (step @p325 :rule cnf_equiv_pos2 :args (@t378)) % 164.15/164.32 (step @p326 :rule reordering :premises (@p325) :args ((or @t256 (not @t376) @t379))) % 164.15/164.32 (step @p327 :rule chain_m_resolution :premises (@p326 @p169 @p324) :args (@t379 @t254 (@list @t255 @t376))) % 164.15/164.32 (step @p328 :rule instantiate :premises (@p194) :args ((@list @t380 tptp.bool @t374 @t373))) % 164.15/164.32 (step @p329 :rule instantiate :premises (@p194) :args ((@list @t246 @t380 @t372 @t236))) % 164.15/164.32 (step @p330 :rule instantiate :premises (@p17) :args (@t381)) % 164.15/164.32 (step @p331 :rule cnf_or_pos :args (@t385)) % 164.15/164.32 (step @p332 :rule reordering :premises (@p331) :args ((or @t355 @t384 @t382 (not @t385)))) % 164.15/164.32 (step @p333 :rule chain_m_resolution :premises (@p332 @p306 @p330 @p329) :args (@t382 @t277 (@list @t352 @t383 @t385))) % 164.15/164.32 (step @p334 :rule instantiate :premises (@p18) :args (@t381)) % 164.15/164.32 (step @p335 :rule cnf_or_pos :args (@t390)) % 164.15/164.32 (step @p336 :rule reordering :premises (@p335) :args ((or @t389 @t387 @t386 (not @t390)))) % 164.15/164.32 (step @p337 :rule chain_m_resolution :premises (@p336 @p334 @p333 @p328) :args (@t386 @t277 (@list @t388 @t382 @t390))) % 164.15/164.32 (step @p338 :rule cnf_or_pos :args (@t393)) % 164.15/164.32 (step @p339 :rule reordering :premises (@p338) :args ((or @t286 @t392 @t378 @t391 (not @t393)))) % 164.15/164.32 (step @p340 :rule chain_m_resolution :premises (@p339 @p207 @p337 @p327 @p320) :args (@t391 @t288 (@list @t285 @t386 @t378 @t393))) % 164.15/164.32 (step @p341 :rule aci_norm :args ((= @t400 (or @t169 @t398 @t397 @t396)))) % 164.15/164.32 (step @p342 :rule cong :premises (@p341) :args (@t401)) % 164.15/164.32 (step @p343 :rule quant-merge-prenex :args ((= (forall @t118 @t403) @t401))) % 164.15/164.32 (step @p344 :rule alpha_equiv :args (@t404 (@list @t395 @t394) (@list @t98 @t405))) % 164.15/164.32 (step @p345 :rule nary_cong :premises (@p109 @p344) :args (@t406)) % 164.15/164.32 (step @p346 :rule quant-miniscope-or :args ((= @t403 @t406))) % 164.15/164.32 (step @p347 :rule trans :premises (@p346 @p345)) % 164.15/164.32 (step @p348 :rule symm :premises (@p347)) % 164.15/164.32 (step @p349 :rule cong :premises (@p348) :args ((forall @t118 (or @t169 @t412)))) % 164.15/164.32 (step @p350 :rule trans :premises (@p349 @p343)) % 164.15/164.32 (step @p351 :rule trans :premises (@p350 @p342)) % 164.15/164.32 (step @p352 :rule bool-impl-elim :args (@t116 @t412)) % 164.15/164.32 (step @p353 :rule cong :premises (@p352) :args ((forall @t118 (=> @t116 @t412)))) % 164.15/164.32 (step @p354 :rule trans :premises (@p353 @p351)) % 164.15/164.32 (step @p355 :rule aci_norm :args ((= @t414 @t410))) % 164.15/164.32 (step @p356 :rule cong :premises (@p355) :args (@t415)) % 164.15/164.32 (step @p357 :rule quant-merge-prenex :args ((= (forall @t114 @t417) @t415))) % 164.15/164.32 (step @p358 :rule alpha_equiv :args (@t418 (@list @t405) @t213)) % 164.15/164.32 (step @p359 :rule refl :args (@t409)) % 164.15/164.32 (step @p360 :rule nary_cong :premises (@p359 @p358) :args (@t419)) % 164.15/164.32 (step @p361 :rule quant-miniscope-or :args ((= @t417 @t419))) % 164.15/164.32 (step @p362 :rule trans :premises (@p361 @p360)) % 164.15/164.32 (step @p363 :rule symm :premises (@p362)) % 164.15/164.32 (step @p364 :rule cong :premises (@p363) :args ((forall @t114 (or @t409 @t420)))) % 164.15/164.32 (step @p365 :rule trans :premises (@p364 @p357)) % 164.15/164.32 (step @p366 :rule trans :premises (@p365 @p356)) % 164.15/164.32 (step @p367 :rule bool-impl-elim :args (@t112 @t420)) % 164.15/164.32 (step @p368 :rule cong :premises (@p367) :args ((forall @t114 (=> @t112 @t420)))) % 164.15/164.32 (step @p369 :rule trans :premises (@p368 @p366)) % 164.15/164.32 (step @p370 :rule bool-impl-elim :args (@t109 @t108)) % 164.15/164.32 (step @p371 :rule cong :premises (@p370) :args (@t111)) % 164.15/164.32 (step @p372 :rule refl :args (@t112)) % 164.15/164.32 (step @p373 :rule cong :premises (@p372 @p371) :args (@t113)) % 164.15/164.32 (step @p374 :rule cong :premises (@p373) :args (@t115)) % 164.15/164.32 (step @p375 :rule trans :premises (@p374 @p369)) % 164.15/164.32 (step @p376 :rule cong :premises (@p150 @p375) :args (@t117)) % 164.15/164.32 (step @p377 :rule cong :premises (@p376) :args (@t119)) % 164.15/164.32 (step @p378 :rule trans :premises (@p377 @p354)) % 164.15/164.32 (step @p379 :rule eq_resolve :premises (@p35 @p378)) % 164.15/164.32 (step @p380 :rule instantiate :premises (@p379) :args ((@list @t222 @t174 @t218 @t221 @t176 @t230))) % 164.15/164.32 (step @p381 :rule cnf_or_pos :args (@t434)) % 164.15/164.32 (step @p382 :rule reordering :premises (@p381) :args ((or @t248 @t279 @t303 @t433 (not @t434)))) % 164.15/164.32 (step @p383 :rule chain_m_resolution :premises (@p382 @p303 @p201 @p231 @p380) :args (@t433 @t435 (@list @t247 @t273 @t298 @t434))) % 164.15/164.32 (step @p384 :rule bool-impl-elim :args (@t67 @t436)) % 164.15/164.32 (step @p385 :rule cong :premises (@p384) :args ((forall @t68 (=> @t67 @t436)))) % 164.15/164.32 (step @p386 :rule eq-symm :args (@t93 @t66)) % 164.15/164.32 (step @p387 :rule cong :premises (@p95 @p386) :args (@t94)) % 164.15/164.32 (step @p388 :rule cong :premises (@p387) :args (@t95)) % 164.15/164.32 (step @p389 :rule trans :premises (@p388 @p385)) % 164.15/164.32 (step @p390 :rule eq_resolve :premises (@p34 @p389)) % 164.15/164.32 (step @p391 :rule instantiate :premises (@p390) :args (@t291)) % 164.15/164.32 (step @p392 :rule cnf_or_pos :args (@t438)) % 164.15/164.32 (step @p393 :rule reordering :premises (@p392) :args ((or @t244 @t437 (not @t438)))) % 164.15/164.32 (step @p394 :rule chain_m_resolution :premises (@p393 @p218 @p391) :args (@t437 @t254 (@list @t243 @t438))) % 164.15/164.32 (step @p395 :rule instantiate :premises (@p390) :args (@t190)) % 164.15/164.32 (step @p396 :rule cnf_or_pos :args (@t440)) % 164.15/164.32 (step @p397 :rule reordering :premises (@p396) :args ((or @t245 @t439 (not @t440)))) % 164.15/164.32 (step @p398 :rule chain_m_resolution :premises (@p397 @p163 @p395) :args (@t439 @t254 (@list @t217 @t440))) % 164.15/164.32 (step @p399 :rule instantiate :premises (@p379) :args ((@list @t222 @t174 @t218 @t221 @t220 @t219))) % 164.15/164.32 (step @p400 :rule instantiate :premises (@p15) :args (@t272)) % 164.15/164.32 (step @p401 :rule instantiate :premises (@p15) :args (@t297)) % 164.15/164.32 (step @p402 :rule cnf_or_pos :args (@t456)) % 164.15/164.32 (step @p403 :rule reordering :premises (@p402) :args ((or @t248 @t453 @t455 @t451 (not @t456)))) % 164.15/164.32 (step @p404 :rule chain_m_resolution :premises (@p403 @p303 @p401 @p400 @p399) :args (@t451 @t435 (@list @t247 @t452 @t454 @t456))) % 164.15/164.32 (step @p405 :rule symm :premises (@p404)) % 164.15/164.32 (step @p406 :rule refl :args (@t226)) % 164.15/164.32 (step @p407 :rule refl :args (@t445)) % 164.15/164.32 (step @p408 :rule instantiate :premises (@p80) :args ((@list @t36 @t446))) % 164.15/164.32 (step @p409 :rule and_elim :premises (@p102) :args (1)) % 164.15/164.32 (step @p410 :rule instantiate :premises (@p409) :args (@t297)) % 164.15/164.32 (step @p411 :rule cong :premises (@p241) :args (@t37)) % 164.15/164.32 (step @p412 :rule cong :premises (@p411) :args (@t38)) % 164.15/164.32 (step @p413 :rule eq_resolve :premises (@p11 @p412)) % 164.15/164.32 (step @p414 :rule refl :args (@t457)) % 164.15/164.32 (step @p415 :rule bool-double-not-elim :args (@t458)) % 164.15/164.32 (step @p416 :rule refl :args (@t461)) % 164.15/164.32 (step @p417 :rule nary_cong :premises (@p416 @p415 @p414) :args ((or @t461 @t462 @t457))) % 164.15/164.32 (step @p418 :rule cnf_equiv_pos1 :args (@t460)) % 164.15/164.32 (step @p419 :rule eq_resolve :premises (@p418 @p417)) % 164.15/164.32 (step @p420 :rule reordering :premises (@p419) :args ((or @t458 @t457 @t461))) % 164.15/164.32 (step @p421 :rule chain_m_resolution :premises (@p420 @p413 @p410) :args (@t461 @t463 (@list @t458 @t457))) % 164.15/164.32 (step @p422 :rule instantiate :premises (@p194) :args ((@list @t296 tptp.bool @t289 @t219))) % 164.15/164.32 (step @p423 :rule cnf_or_pos :args (@t465)) % 164.15/164.32 (step @p424 :rule reordering :premises (@p423) :args ((or @t453 @t464 @t305 (not @t465)))) % 164.15/164.32 (step @p425 :rule chain_m_resolution :premises (@p424 @p401 @p226 @p422) :args (@t464 @t277 (@list @t452 @t304 @t465))) % 164.15/164.32 (step @p426 :rule cnf_or_pos :args (@t468)) % 164.15/164.32 (step @p427 :rule reordering :premises (@p426) :args ((or @t316 @t467 @t460 @t466 (not @t468)))) % 164.15/164.32 (step @p428 :rule chain_m_resolution :premises (@p427 @p243 @p425 @p421 @p408) :args (@t466 @t288 (@list @t315 @t464 @t460 @t468))) % 164.15/164.32 (step @p429 :rule instantiate :premises (@p80) :args ((@list @t36 @t447))) % 164.15/164.32 (step @p430 :rule instantiate :premises (@p409) :args (@t272)) % 164.15/164.32 (step @p431 :rule refl :args (@t469)) % 164.15/164.32 (step @p432 :rule refl :args (@t471)) % 164.15/164.32 (step @p433 :rule nary_cong :premises (@p432 @p415 @p431) :args ((or @t471 @t462 @t469))) % 164.15/164.32 (step @p434 :rule cnf_equiv_pos1 :args (@t470)) % 164.15/164.32 (step @p435 :rule eq_resolve :premises (@p434 @p433)) % 164.15/164.32 (step @p436 :rule reordering :premises (@p435) :args ((or @t458 @t469 @t471))) % 164.15/164.32 (step @p437 :rule chain_m_resolution :premises (@p436 @p413 @p430) :args (@t471 @t463 (@list @t458 @t469))) % 164.15/164.32 (step @p438 :rule instantiate :premises (@p194) :args ((@list @t271 tptp.bool @t177 @t220))) % 164.15/164.32 (step @p439 :rule cnf_or_pos :args (@t473)) % 164.15/164.32 (step @p440 :rule reordering :premises (@p439) :args ((or @t455 @t472 @t281 (not @t473)))) % 164.15/164.32 (step @p441 :rule chain_m_resolution :premises (@p440 @p400 @p196 @p438) :args (@t472 @t277 (@list @t454 @t280 @t473))) % 164.15/164.32 (step @p442 :rule cnf_or_pos :args (@t476)) % 164.15/164.32 (step @p443 :rule reordering :premises (@p442) :args ((or @t316 @t475 @t470 @t474 (not @t476)))) % 164.15/164.32 (step @p444 :rule chain_m_resolution :premises (@p443 @p243 @p441 @p437 @p429) :args (@t474 @t288 (@list @t315 @t472 @t470 @t476))) % 164.15/164.32 (step @p445 :rule refl :args (tptp.c_2Ebool_2E_2F_5C)) % 164.15/164.32 (step @p446 :rule cong :premises (@p445 @p444) :args (@t477)) % 164.15/164.32 (step @p447 :rule cong :premises (@p446 @p428) :args (@t478)) % 164.15/164.32 (step @p448 :rule instantiate :premises (@p20) :args ((@list tptp.fo__c_2Ebool_2EF tptp.fo__c_2Ebool_2EF))) % 164.15/164.32 (step @p449 :rule instantiate :premises (@p80) :args ((@list @t36 @t480))) % 164.15/164.32 (step @p450 :rule aci_norm :args ((= @t486 @t484))) % 164.15/164.32 (step @p451 :rule cong :premises (@p450) :args (@t488)) % 164.15/164.32 (step @p452 :rule quant-merge-prenex :args ((= (forall @t27 @t490) @t488))) % 164.15/164.32 (step @p453 :rule alpha_equiv :args (@t491 (@list @t481) @t155)) % 164.15/164.32 (step @p454 :rule nary_cong :premises (@p47 @p453) :args (@t492)) % 164.15/164.32 (step @p455 :rule quant-miniscope-or :args ((= @t490 @t492))) % 164.15/164.32 (step @p456 :rule trans :premises (@p455 @p454)) % 164.15/164.32 (step @p457 :rule symm :premises (@p456)) % 164.15/164.32 (step @p458 :rule cong :premises (@p457) :args ((forall @t27 (or @t146 @t493)))) % 164.15/164.32 (step @p459 :rule trans :premises (@p458 @p452)) % 164.15/164.32 (step @p460 :rule trans :premises (@p459 @p451)) % 164.15/164.32 (step @p461 :rule bool-impl-elim :args (@t25 @t493)) % 164.15/164.32 (step @p462 :rule cong :premises (@p461) :args ((forall @t27 (=> @t25 @t493)))) % 164.15/164.32 (step @p463 :rule trans :premises (@p462 @p460)) % 164.15/164.32 (step @p464 :rule bool-impl-elim :args (@t22 @t52)) % 164.15/164.32 (step @p465 :rule cong :premises (@p464) :args (@t53)) % 164.15/164.32 (step @p466 :rule cong :premises (@p76 @p465) :args (@t54)) % 164.15/164.32 (step @p467 :rule cong :premises (@p466) :args (@t55)) % 164.15/164.32 (step @p468 :rule trans :premises (@p467 @p463)) % 164.15/164.32 (step @p469 :rule eq_resolve :premises (@p21 @p468)) % 164.15/164.32 (step @p470 :rule eq-symm :args (@t494 @t458)) % 164.15/164.32 (step @p471 :rule aci_norm :args ((= @t495 @t458))) % 164.15/164.32 (step @p472 :rule refl :args (@t494)) % 164.15/164.32 (step @p473 :rule cong :premises (@p472 @p471) :args (@t496)) % 164.15/164.32 (step @p474 :rule trans :premises (@p473 @p470)) % 164.15/164.32 (step @p475 :rule refl :args (@t316)) % 164.15/164.32 (step @p476 :rule nary_cong :premises (@p475 @p475 @p474) :args (@t497)) % 164.15/164.32 (step @p477 :rule refl :args (@t498)) % 164.15/164.32 (step @p478 :rule cong :premises (@p477 @p476) :args ((=> @t498 @t497))) % 164.15/164.32 (assume-push @p839 @t498) % 164.15/164.32 (step @p480 :rule instantiate :premises (@p469) :args ((@list @t36 @t36))) % 164.15/164.32 (step-pop @p840 :rule scope :premises (@p480)) % 164.15/164.32 (step @p481 :rule process_scope :premises (@p840) :args (@t497)) % 164.15/164.32 (step @p483 :rule eq_resolve :premises (@p481 @p478)) % 164.15/164.32 (step @p484 :rule implies_elim :premises (@p483)) % 164.15/164.32 (step @p485 :rule chain_m_resolution :premises (@p484 @p469) :args (@t500 @t371 @t501)) % 164.15/164.32 (step @p486 :rule cnf_or_pos :args (@t500)) % 164.15/164.32 (step @p487 :rule factoring :premises (@p486)) % 164.15/164.32 (step @p488 :rule reordering :premises (@p487) :args ((or @t316 @t499 (not @t500)))) % 164.15/164.32 (step @p489 :rule chain_m_resolution :premises (@p488 @p243 @p485) :args (@t499 @t254 (@list @t315 @t500))) % 164.15/164.32 (step @p490 :rule cnf_equiv_pos2 :args (@t499)) % 164.15/164.32 (step @p491 :rule reordering :premises (@p490) :args ((or @t458 @t502 (not @t499)))) % 164.15/164.32 (step @p492 :rule chain_m_resolution :premises (@p491 @p413 @p489) :args (@t502 @t503 (@list @t458 @t499))) % 164.15/164.32 (step @p493 :rule false_intro :premises (@p492)) % 164.15/164.32 (step @p494 :rule cong :premises (@p448) :args (@t504)) % 164.15/164.32 (step @p495 :rule trans :premises (@p494 @p493)) % 164.15/164.32 (step @p496 :rule false_elim :premises (@p495)) % 164.15/164.32 (step @p497 :rule refl :args (@t504)) % 164.15/164.32 (step @p498 :rule refl :args (@t506)) % 164.15/164.32 (step @p499 :rule nary_cong :premises (@p498 @p415 @p497) :args ((or @t506 @t462 @t504))) % 164.15/164.32 (step @p500 :rule cnf_equiv_pos1 :args (@t505)) % 164.15/164.32 (step @p501 :rule eq_resolve :premises (@p500 @p499)) % 164.15/164.32 (step @p502 :rule reordering :premises (@p501) :args ((or @t458 @t504 @t506))) % 164.15/164.32 (step @p503 :rule chain_m_resolution :premises (@p502 @p413 @p496) :args (@t506 @t463 (@list @t458 @t504))) % 164.15/164.32 (step @p504 :rule instantiate :premises (@p7) :args ((@list @t479))) % 164.15/164.32 (step @p505 :rule cnf_or_pos :args (@t510)) % 164.15/164.32 (step @p506 :rule reordering :premises (@p505) :args ((or @t316 @t509 @t505 @t507 (not @t510)))) % 164.15/164.32 (step @p507 :rule chain_m_resolution :premises (@p506 @p243 @p504 @p503 @p449) :args (@t507 @t288 (@list @t315 @t508 @t505 @t510))) % 164.15/164.32 (step @p508 :rule trans :premises (@p507 @p448 @p447)) % 164.15/164.32 (step @p509 :rule refl :args (@t362)) % 164.15/164.32 (step @p510 :rule cong :premises (@p509 @p508) :args (@t363)) % 164.15/164.32 (step @p511 :rule cong :premises (@p510 @p407) :args (@t511)) % 164.15/164.32 (step @p512 :rule cong :premises (@p511 @p406) :args (@t512)) % 164.15/164.32 (step @p513 :rule instantiate :premises (@p292) :args ((@list @t350 @t445 @t226))) % 164.15/164.32 (step @p514 :rule instantiate :premises (@p194) :args ((@list @t222 @t350 @t238 @t444))) % 164.15/164.32 (step @p515 :rule instantiate :premises (@p194) :args ((@list @t218 @t222 @t443 @t441))) % 164.15/164.32 (step @p516 :rule instantiate :premises (@p194) :args ((@list @t174 @t246 @t221 @t442))) % 164.15/164.32 (step @p517 :rule instantiate :premises (@p194) :args ((@list @t271 @t174 @t423 @t220))) % 164.15/164.32 (step @p518 :rule instantiate :premises (@p16) :args (@t272)) % 164.15/164.32 (step @p519 :rule cnf_or_pos :args (@t516)) % 164.15/164.32 (step @p520 :rule reordering :premises (@p519) :args ((or @t455 @t515 @t513 (not @t516)))) % 164.15/164.32 (step @p521 :rule chain_m_resolution :premises (@p520 @p400 @p518 @p517) :args (@t513 @t277 (@list @t454 @t514 @t516))) % 164.15/164.32 (step @p522 :rule cnf_or_pos :args (@t519)) % 164.15/164.32 (step @p523 :rule reordering :premises (@p522) :args ((or @t248 @t518 @t517 (not @t519)))) % 164.15/164.32 (step @p524 :rule chain_m_resolution :premises (@p523 @p303 @p521 @p516) :args (@t517 @t277 (@list @t247 @t513 @t519))) % 164.15/164.32 (step @p525 :rule instantiate :premises (@p194) :args ((@list @t296 @t218 @t421 @t219))) % 164.15/164.32 (step @p526 :rule instantiate :premises (@p16) :args (@t297)) % 164.15/164.32 (step @p527 :rule cnf_or_pos :args (@t523)) % 164.15/164.32 (step @p528 :rule reordering :premises (@p527) :args ((or @t453 @t522 @t520 (not @t523)))) % 164.15/164.32 (step @p529 :rule chain_m_resolution :premises (@p528 @p401 @p526 @p525) :args (@t520 @t277 (@list @t452 @t521 @t523))) % 164.15/164.32 (step @p530 :rule cnf_or_pos :args (@t527)) % 164.15/164.32 (step @p531 :rule reordering :premises (@p530) :args ((or @t524 @t525 @t526 (not @t527)))) % 164.15/164.32 (step @p532 :rule chain_m_resolution :premises (@p531 @p529 @p524 @p515) :args (@t524 @t277 (@list @t520 @t517 @t527))) % 164.15/164.32 (step @p533 :rule cnf_or_pos :args (@t530)) % 164.15/164.32 (step @p534 :rule reordering :premises (@p533) :args ((or @t360 @t529 @t528 (not @t530)))) % 164.15/164.32 (step @p535 :rule chain_m_resolution :premises (@p534 @p295 @p532 @p514) :args (@t528 @t277 (@list @t359 @t524 @t530))) % 164.15/164.32 (step @p536 :rule cnf_or_pos :args (@t534)) % 164.15/164.32 (step @p537 :rule reordering :premises (@p536) :args ((or @t368 @t533 @t532 (not @t534)))) % 164.15/164.32 (step @p538 :rule chain_m_resolution :premises (@p537 @p313 @p535 @p513) :args (@t532 @t277 (@list @t367 @t528 @t534))) % 164.15/164.32 (step @p539 :rule cnf_and_pos :args (@t532 1)) % 164.15/164.32 (step @p540 :rule reordering :premises (@p539) :args ((or @t531 (not @t532)))) % 164.15/164.32 (step @p541 :rule chain_m_resolution :premises (@p540 @p538) :args (@t531 @t371 (@list @t532))) % 164.15/164.32 (step @p542 :rule trans :premises (@p541 @p512 @p405)) % 164.15/164.32 (step @p543 :rule instantiate :premises (@p379) :args ((@list @t222 @t174 @t218 @t221 @t220 @t230))) % 164.15/164.32 (step @p544 :rule cnf_or_pos :args (@t539)) % 164.15/164.32 (step @p545 :rule reordering :premises (@p544) :args ((or @t248 @t303 @t455 @t538 (not @t539)))) % 164.15/164.32 (step @p546 :rule chain_m_resolution :premises (@p545 @p303 @p231 @p400 @p543) :args (@t538 @t435 (@list @t247 @t298 @t454 @t539))) % 164.15/164.32 (step @p547 :rule symm :premises (@p546)) % 164.15/164.32 (step @p548 :rule refl :args (@t536)) % 164.15/164.32 (step @p549 :rule cong :premises (@p446 @p237) :args ((tptp.ap @t477 @t40))) % 164.15/164.32 (step @p550 :rule instantiate :premises (@p20) :args ((@list tptp.fo__c_2Ebool_2EF tptp.fo__c_2Ebool_2ET))) % 164.15/164.32 (step @p551 :rule instantiate :premises (@p80) :args ((@list @t36 @t541))) % 164.15/164.32 (step @p552 :rule instantiate :premises (@p469) :args ((@list @t447 @t290))) % 164.15/164.32 (step @p553 :rule cnf_or_pos :args (@t545)) % 164.15/164.32 (step @p554 :rule reordering :premises (@p553) :args ((or @t475 @t308 @t544 (not @t545)))) % 164.15/164.32 (step @p555 :rule chain_m_resolution :premises (@p554 @p441 @p234 @p552) :args (@t544 @t277 (@list @t472 @t302 @t545))) % 164.15/164.32 (step @p556 :rule cnf_and_pos :args (@t542 0)) % 164.15/164.32 (step @p557 :rule reordering :premises (@p556) :args ((or @t469 @t546))) % 164.15/164.32 (step @p558 :rule chain_m_resolution :premises (@p557 @p430) :args (@t546 @t250 (@list @t469))) % 164.15/164.32 (step @p559 :rule cnf_equiv_pos1 :args (@t544)) % 164.15/164.32 (step @p560 :rule reordering :premises (@p559) :args ((or @t542 @t547 (not @t544)))) % 164.15/164.32 (step @p561 :rule chain_m_resolution :premises (@p560 @p558 @p555) :args (@t547 @t503 (@list @t542 @t544))) % 164.15/164.32 (step @p562 :rule false_intro :premises (@p561)) % 164.15/164.32 (step @p563 :rule trans :premises (@p550 @p549)) % 164.15/164.32 (step @p564 :rule cong :premises (@p563) :args (@t548)) % 164.15/164.32 (step @p565 :rule trans :premises (@p564 @p562)) % 164.15/164.32 (step @p566 :rule false_elim :premises (@p565)) % 164.15/164.32 (step @p567 :rule refl :args (@t548)) % 164.15/164.32 (step @p568 :rule refl :args (@t550)) % 164.15/164.32 (step @p569 :rule nary_cong :premises (@p568 @p415 @p567) :args ((or @t550 @t462 @t548))) % 164.15/164.32 (step @p570 :rule cnf_equiv_pos1 :args (@t549)) % 164.15/164.32 (step @p571 :rule eq_resolve :premises (@p570 @p569)) % 164.15/164.32 (step @p572 :rule reordering :premises (@p571) :args ((or @t458 @t548 @t550))) % 164.15/164.32 (step @p573 :rule chain_m_resolution :premises (@p572 @p413 @p566) :args (@t550 @t463 (@list @t458 @t548))) % 164.15/164.32 (step @p574 :rule instantiate :premises (@p7) :args ((@list @t540))) % 164.15/164.32 (step @p575 :rule cnf_or_pos :args (@t554)) % 164.15/164.32 (step @p576 :rule reordering :premises (@p575) :args ((or @t316 @t553 @t549 @t551 (not @t554)))) % 164.15/164.32 (step @p577 :rule chain_m_resolution :premises (@p576 @p243 @p574 @p573 @p551) :args (@t551 @t288 (@list @t315 @t552 @t549 @t554))) % 164.15/164.32 (step @p578 :rule symm :premises (@p507)) % 164.15/164.32 (step @p579 :rule symm :premises (@p448)) % 164.15/164.32 (step @p580 :rule symm :premises (@p428)) % 164.15/164.32 (step @p581 :rule symm :premises (@p446)) % 164.15/164.32 (step @p582 :rule cong :premises (@p581 @p580) :args (@t449)) % 164.15/164.32 (step @p583 :rule trans :premises (@p582 @p579 @p578 @p577 @p550 @p549)) % 164.15/164.32 (step @p584 :rule cong :premises (@p509 @p583) :args (@t450)) % 164.15/164.32 (step @p585 :rule trans :premises (@p510 @p584)) % 164.15/164.32 (step @p586 :rule cong :premises (@p585 @p548) :args (@t555)) % 164.15/164.32 (step @p587 :rule cong :premises (@p586 @p406) :args (@t556)) % 164.15/164.32 (step @p588 :rule instantiate :premises (@p292) :args ((@list @t350 @t536 @t226))) % 164.15/164.32 (step @p589 :rule instantiate :premises (@p194) :args ((@list @t222 @t350 @t238 @t535))) % 164.15/164.32 (step @p590 :rule instantiate :premises (@p194) :args ((@list @t218 @t222 @t443 @t228))) % 164.15/164.32 (step @p591 :rule cnf_or_pos :args (@t558)) % 164.15/164.32 (step @p592 :rule reordering :premises (@p591) :args ((or @t244 @t526 @t557 (not @t558)))) % 164.15/164.32 (step @p593 :rule chain_m_resolution :premises (@p592 @p218 @p524 @p590) :args (@t557 @t277 (@list @t243 @t517 @t558))) % 164.15/164.32 (step @p594 :rule true_intro :premises (@p593)) % 164.15/164.32 (step @p595 :rule refl :args (@t222)) % 164.15/164.32 (step @p596 :rule symm :premises (@p394)) % 164.15/164.32 (step @p597 :rule refl :args (@t443)) % 164.15/164.32 (step @p598 :rule cong :premises (@p597 @p596) :args (@t535)) % 164.15/164.32 (step @p599 :rule cong :premises (@p598 @p595) :args (@t559)) % 164.15/164.32 (step @p600 :rule trans :premises (@p599 @p594)) % 164.15/164.32 (step @p601 :rule true_elim :premises (@p600)) % 164.15/164.32 (step @p602 :rule cnf_or_pos :args (@t562)) % 164.15/164.32 (step @p603 :rule reordering :premises (@p602) :args ((or @t360 @t561 @t560 (not @t562)))) % 164.15/164.32 (step @p604 :rule chain_m_resolution :premises (@p603 @p295 @p601 @p589) :args (@t560 @t277 (@list @t359 @t559 @t562))) % 164.15/164.32 (step @p605 :rule cnf_or_pos :args (@t566)) % 164.15/164.32 (step @p606 :rule reordering :premises (@p605) :args ((or @t368 @t565 @t564 (not @t566)))) % 164.15/164.32 (step @p607 :rule chain_m_resolution :premises (@p606 @p313 @p604 @p588) :args (@t564 @t277 (@list @t367 @t560 @t566))) % 164.15/164.32 (step @p608 :rule cnf_and_pos :args (@t564 1)) % 164.15/164.32 (step @p609 :rule reordering :premises (@p608) :args ((or @t563 (not @t564)))) % 164.15/164.32 (step @p610 :rule chain_m_resolution :premises (@p609 @p607) :args (@t563 @t371 (@list @t564))) % 164.15/164.32 (step @p611 :rule trans :premises (@p610 @p587 @p547)) % 164.15/164.32 (step @p612 :rule instantiate :premises (@p379) :args ((@list @t222 @t174 @t218 @t221 @t176 @t219))) % 164.15/164.32 (step @p613 :rule cnf_or_pos :args (@t571)) % 164.15/164.32 (step @p614 :rule reordering :premises (@p613) :args ((or @t248 @t279 @t453 @t570 (not @t571)))) % 164.15/164.32 (step @p615 :rule chain_m_resolution :premises (@p614 @p303 @p201 @p401 @p612) :args (@t570 @t435 (@list @t247 @t273 @t452 @t571))) % 164.15/164.32 (step @p616 :rule symm :premises (@p615)) % 164.15/164.32 (step @p617 :rule refl :args (@t568)) % 164.15/164.32 (step @p618 :rule refl :args (@t446)) % 164.15/164.32 (step @p619 :rule cong :premises (@p445 @p210) :args (@t572)) % 164.15/164.32 (step @p620 :rule symm :premises (@p340)) % 164.15/164.32 (step @p621 :rule cong :premises (@p445 @p620) :args (@t573)) % 164.15/164.32 (step @p622 :rule trans :premises (@p621 @p619)) % 164.15/164.32 (step @p623 :rule cong :premises (@p622 @p618) :args (@t574)) % 164.15/164.32 (step @p624 :rule cong :premises (@p509 @p623) :args ((tptp.ap @t362 @t574))) % 164.15/164.32 (step @p625 :rule symm :premises (@p623)) % 164.15/164.32 (step @p626 :rule cong :premises (@p619 @p428) :args ((tptp.ap @t572 @t36))) % 164.15/164.32 (step @p627 :rule instantiate :premises (@p20) :args ((@list tptp.fo__c_2Ebool_2ET tptp.fo__c_2Ebool_2EF))) % 164.15/164.32 (step @p628 :rule instantiate :premises (@p80) :args ((@list @t36 @t576))) % 164.15/164.32 (step @p629 :rule instantiate :premises (@p469) :args ((@list @t178 @t446))) % 164.15/164.32 (step @p630 :rule cnf_or_pos :args (@t580)) % 164.15/164.32 (step @p631 :rule reordering :premises (@p630) :args ((or @t467 @t284 @t579 (not @t580)))) % 164.15/164.32 (step @p632 :rule chain_m_resolution :premises (@p631 @p425 @p204 @p629) :args (@t579 @t277 (@list @t464 @t278 @t580))) % 164.15/164.32 (step @p633 :rule cnf_and_pos :args (@t577 1)) % 164.15/164.32 (step @p634 :rule reordering :premises (@p633) :args ((or @t457 @t581))) % 164.15/164.32 (step @p635 :rule chain_m_resolution :premises (@p634 @p410) :args (@t581 @t250 (@list @t457))) % 164.15/164.32 (step @p636 :rule cnf_equiv_pos1 :args (@t579)) % 164.15/164.32 (step @p637 :rule reordering :premises (@p636) :args ((or @t577 @t582 (not @t579)))) % 164.15/164.32 (step @p638 :rule chain_m_resolution :premises (@p637 @p635 @p632) :args (@t582 @t503 (@list @t577 @t579))) % 164.15/164.32 (step @p639 :rule false_intro :premises (@p638)) % 164.15/164.32 (step @p640 :rule trans :premises (@p627 @p626)) % 164.15/164.32 (step @p641 :rule cong :premises (@p640) :args (@t583)) % 164.15/164.32 (step @p642 :rule trans :premises (@p641 @p639)) % 164.15/164.32 (step @p643 :rule false_elim :premises (@p642)) % 164.15/164.32 (step @p644 :rule refl :args (@t583)) % 164.15/164.32 (step @p645 :rule refl :args (@t585)) % 164.15/164.32 (step @p646 :rule nary_cong :premises (@p645 @p415 @p644) :args ((or @t585 @t462 @t583))) % 164.15/164.32 (step @p647 :rule cnf_equiv_pos1 :args (@t584)) % 164.15/164.32 (step @p648 :rule eq_resolve :premises (@p647 @p646)) % 164.15/164.32 (step @p649 :rule reordering :premises (@p648) :args ((or @t458 @t583 @t585))) % 164.15/164.32 (step @p650 :rule chain_m_resolution :premises (@p649 @p413 @p643) :args (@t585 @t463 (@list @t458 @t583))) % 164.15/164.32 (step @p651 :rule instantiate :premises (@p7) :args ((@list @t575))) % 164.15/164.32 (step @p652 :rule cnf_or_pos :args (@t589)) % 164.15/164.32 (step @p653 :rule reordering :premises (@p652) :args ((or @t316 @t588 @t584 @t586 (not @t589)))) % 164.15/164.32 (step @p654 :rule chain_m_resolution :premises (@p653 @p243 @p651 @p650 @p628) :args (@t586 @t288 (@list @t315 @t587 @t584 @t589))) % 164.15/164.32 (step @p655 :rule trans :premises (@p582 @p579 @p578 @p654 @p627 @p626 @p625)) % 164.15/164.32 (step @p656 :rule cong :premises (@p509 @p655) :args (@t450)) % 164.15/164.32 (step @p657 :rule trans :premises (@p510 @p656 @p624)) % 164.15/164.32 (step @p658 :rule cong :premises (@p657 @p617) :args (@t590)) % 164.15/164.32 (step @p659 :rule cong :premises (@p658 @p406) :args (@t591)) % 164.15/164.32 (step @p660 :rule instantiate :premises (@p292) :args ((@list @t350 @t568 @t226))) % 164.15/164.32 (step @p661 :rule instantiate :premises (@p194) :args ((@list @t222 @t350 @t238 @t567))) % 164.15/164.32 (step @p662 :rule instantiate :premises (@p194) :args ((@list @t218 @t222 @t236 @t441))) % 164.15/164.32 (step @p663 :rule cnf_or_pos :args (@t593)) % 164.15/164.32 (step @p664 :rule reordering :premises (@p663) :args ((or @t355 @t525 @t592 (not @t593)))) % 164.15/164.32 (step @p665 :rule chain_m_resolution :premises (@p664 @p306 @p529 @p662) :args (@t592 @t277 (@list @t352 @t520 @t593))) % 164.15/164.32 (step @p666 :rule true_intro :premises (@p665)) % 164.15/164.32 (step @p667 :rule refl :args (@t441)) % 164.15/164.32 (step @p668 :rule symm :premises (@p398)) % 164.15/164.32 (step @p669 :rule refl :args (@t221)) % 164.15/164.32 (step @p670 :rule cong :premises (@p669 @p668) :args (@t425)) % 164.15/164.32 (step @p671 :rule cong :premises (@p670 @p667) :args (@t567)) % 164.15/164.32 (step @p672 :rule cong :premises (@p671 @p595) :args (@t594)) % 164.15/164.32 (step @p673 :rule trans :premises (@p672 @p666)) % 164.15/164.32 (step @p674 :rule true_elim :premises (@p673)) % 164.15/164.32 (step @p675 :rule cnf_or_pos :args (@t597)) % 164.15/164.32 (step @p676 :rule reordering :premises (@p675) :args ((or @t360 @t596 @t595 (not @t597)))) % 164.15/164.32 (step @p677 :rule chain_m_resolution :premises (@p676 @p295 @p674 @p661) :args (@t595 @t277 (@list @t359 @t594 @t597))) % 164.15/164.32 (step @p678 :rule cnf_or_pos :args (@t601)) % 164.15/164.32 (step @p679 :rule reordering :premises (@p678) :args ((or @t368 @t600 @t599 (not @t601)))) % 164.15/164.32 (step @p680 :rule chain_m_resolution :premises (@p679 @p313 @p677 @p660) :args (@t599 @t277 (@list @t367 @t595 @t601))) % 164.15/164.32 (step @p681 :rule cnf_and_pos :args (@t599 1)) % 164.15/164.32 (step @p682 :rule reordering :premises (@p681) :args ((or @t598 (not @t599)))) % 164.15/164.32 (step @p683 :rule chain_m_resolution :premises (@p682 @p680) :args (@t598 @t371 (@list @t599))) % 164.15/164.32 (step @p684 :rule trans :premises (@p683 @p659 @p616)) % 164.15/164.32 (step @p685 :rule cnf_or_neg :args (@t249 3)) % 164.15/164.32 (step @p686 :rule chain_m_resolution :premises (@p685 @p156) :args ((not @t242) @t250 @t251)) % 164.15/164.32 (step @p687 :rule cnf_and_neg :args (@t242)) % 164.15/164.32 (step @p688 :rule chain_m_resolution :premises (@p687 @p686 @p684 @p611 @p542) :args ((not @t241) (@list true false false false) (@list @t242 @t235 @t232 @t227))) % 164.15/164.32 (assume-push @p841 @t439) % 164.15/164.32 (assume-push @p842 @t437) % 164.15/164.32 (assume-push @p843 @t433) % 164.15/164.32 (assume-push @p844 @t283) % 164.15/164.32 (assume-push @p845 @t307) % 164.15/164.32 (assume-push @p846 @t332) % 164.15/164.32 (assume-push @p847 @t391) % 164.15/164.32 (assume-push @p848 @t365) % 164.15/164.32 (assume-push @p849 @t602) % 164.15/164.32 (assume-push @p850 @t602) % 164.15/164.32 (assume-push @p851 @t365) % 164.15/164.32 (assume-push @p852 @t433) % 164.15/164.32 (assume-push @p853 @t391) % 164.15/164.32 (assume-push @p854 @t307) % 164.15/164.32 (assume-push @p855 @t283) % 164.15/164.32 (assume-push @p856 @t437) % 164.15/164.32 (assume-push @p857 @t332) % 164.15/164.32 (assume-push @p858 @t439) % 164.15/164.32 (step @p707 :rule symm :premises (@p319)) % 164.15/164.32 (step @p708 :rule cong :premises (@p670 @p596) :args (@t426)) % 164.15/164.32 (step @p709 :rule refl :args (@t238)) % 164.15/164.32 (step @p710 :rule cong :premises (@p709 @p708) :args (@t427)) % 164.15/164.32 (step @p711 :rule symm :premises (@p849)) % 164.15/164.32 (step @p712 :rule symm :premises (@p237)) % 164.15/164.32 (step @p713 :rule trans :premises (@p712 @p262)) % 164.15/164.32 (step @p714 :rule cong :premises (@p445 @p262) :args (@t572)) % 164.15/164.32 (step @p715 :rule symm :premises (@p210)) % 164.15/164.32 (step @p716 :rule cong :premises (@p445 @p715) :args (@t428)) % 164.15/164.32 (step @p717 :rule trans :premises (@p716 @p714)) % 164.15/164.32 (step @p718 :rule cong :premises (@p717 @p713) :args (@t429)) % 164.15/164.32 (step @p719 :rule refl :args (@t290)) % 164.15/164.32 (step @p720 :rule cong :premises (@p622 @p719) :args (@t603)) % 164.15/164.32 (step @p721 :rule trans :premises (@p720 @p718 @p711)) % 164.15/164.32 (step @p722 :rule cong :premises (@p509 @p721) :args ((tptp.ap @t362 @t603))) % 164.15/164.32 (step @p723 :rule symm :premises (@p720)) % 164.15/164.32 (step @p724 :rule cong :premises (@p509 @p723) :args (@t430)) % 164.15/164.32 (step @p725 :rule trans :premises (@p724 @p722)) % 164.15/164.32 (step @p726 :rule cong :premises (@p725 @p710) :args (@t431)) % 164.15/164.32 (step @p727 :rule cong :premises (@p726 @p406) :args (@t432)) % 164.15/164.32 (step @p728 :rule trans :premises (@p383 @p727 @p707)) % 164.15/164.32 (step-pop @p859 :rule scope :premises (@p728)) % 164.15/164.32 (step-pop @p860 :rule scope :premises (@p859)) % 164.15/164.32 (step-pop @p861 :rule scope :premises (@p860)) % 164.15/164.32 (step-pop @p862 :rule scope :premises (@p861)) % 164.15/164.32 (step-pop @p863 :rule scope :premises (@p862)) % 164.15/164.32 (step-pop @p864 :rule scope :premises (@p863)) % 164.15/164.32 (step-pop @p865 :rule scope :premises (@p864)) % 164.15/164.32 (step-pop @p866 :rule scope :premises (@p865)) % 164.15/164.32 (step-pop @p867 :rule scope :premises (@p866)) % 164.15/164.32 (step @p729 :rule process_scope :premises (@p867) :args (@t241)) % 164.15/164.32 (step @p739 :rule and_intro :premises (@p849 @p319 @p383 @p340 @p237 @p210 @p394 @p262 @p398)) % 164.15/164.32 (step @p740 :rule modus_ponens :premises (@p739 @p729)) % 164.15/164.32 (step-pop @p868 :rule scope :premises (@p740)) % 164.15/164.32 (step-pop @p869 :rule scope :premises (@p868)) % 164.15/164.32 (step-pop @p870 :rule scope :premises (@p869)) % 164.15/164.32 (step-pop @p871 :rule scope :premises (@p870)) % 164.15/164.32 (step-pop @p872 :rule scope :premises (@p871)) % 164.15/164.32 (step-pop @p873 :rule scope :premises (@p872)) % 164.15/164.32 (step-pop @p874 :rule scope :premises (@p873)) % 164.15/164.32 (step-pop @p875 :rule scope :premises (@p874)) % 164.15/164.32 (step-pop @p876 :rule scope :premises (@p875)) % 164.15/164.32 (step @p741 :rule process_scope :premises (@p876) :args (@t241)) % 164.15/164.32 (step @p751 :rule implies_elim :premises (@p741)) % 164.15/164.32 (step @p752 :rule cnf_and_neg :args (@t604)) % 164.15/164.32 (step @p753 :rule resolution :premises (@p752 @p751) :args (true @t604)) % 164.15/164.32 (step @p754 :rule reordering :premises (@p753) :args ((or @t241 (not @t439) (not @t437) (not @t433) @t608 @t607 @t606 (not @t391) (not @t365) @t605))) % 164.15/164.32 (step @p755 :rule chain_m_resolution :premises (@p754 @p688 @p398 @p394 @p383 @p210 @p237 @p262 @p340 @p319) :args (@t605 (@list true false false false false false false false false) (@list @t241 @t439 @t437 @t433 @t283 @t307 @t332 @t391 @t365))) % 164.15/164.32 (step @p756 :rule eq-symm :args (@t609 @t314)) % 164.15/164.32 (step @p757 :rule aci_norm :args ((= @t610 @t314))) % 164.15/164.32 (step @p758 :rule refl :args (@t609)) % 164.15/164.32 (step @p759 :rule cong :premises (@p758 @p757) :args (@t611)) % 164.15/164.32 (step @p760 :rule trans :premises (@p759 @p756)) % 164.15/164.32 (step @p761 :rule refl :args (@t333)) % 164.15/164.32 (step @p762 :rule nary_cong :premises (@p761 @p761 @p760) :args (@t612)) % 164.15/164.32 (step @p763 :rule cong :premises (@p477 @p762) :args ((=> @t498 @t612))) % 164.15/164.32 (assume-push @p877 @t498) % 164.15/164.32 (step @p765 :rule instantiate :premises (@p469) :args ((@list @t313 @t313))) % 164.15/164.32 (step-pop @p878 :rule scope :premises (@p765)) % 164.15/164.32 (step @p766 :rule process_scope :premises (@p878) :args (@t612)) % 164.15/164.32 (step @p768 :rule eq_resolve :premises (@p766 @p763)) % 164.15/164.32 (step @p769 :rule implies_elim :premises (@p768)) % 164.15/164.32 (step @p770 :rule chain_m_resolution :premises (@p769 @p469) :args (@t614 @t371 @t501)) % 164.15/164.32 (step @p771 :rule cnf_or_pos :args (@t614)) % 164.15/164.32 (step @p772 :rule factoring :premises (@p771)) % 164.15/164.32 (step @p773 :rule reordering :premises (@p772) :args ((or @t333 @t613 (not @t614)))) % 164.15/164.32 (step @p774 :rule chain_m_resolution :premises (@p773 @p259 @p770) :args (@t613 @t254 (@list @t327 @t614))) % 164.15/164.32 (step @p775 :rule cnf_equiv_pos1 :args (@t613)) % 164.15/164.32 (step @p776 :rule reordering :premises (@p775) :args ((or @t320 @t609 (not @t613)))) % 164.15/164.32 (step @p777 :rule chain_m_resolution :premises (@p776 @p246 @p774) :args (@t609 @t254 (@list @t314 @t613))) % 164.15/164.32 (step @p778 :rule cnf_equiv_pos2 :args (@t615)) % 164.15/164.32 (step @p779 :rule reordering :premises (@p778) :args ((or @t256 (not @t609) @t616))) % 164.15/164.32 (step @p780 :rule chain_m_resolution :premises (@p779 @p169 @p777) :args (@t616 @t254 (@list @t255 @t609))) % 164.15/164.32 (step @p781 :rule cnf_or_pos :args (@t619)) % 164.15/164.32 (step @p782 :rule reordering :premises (@p781) :args ((or @t286 @t618 @t615 @t602 (not @t619)))) % 164.15/164.32 (step @p783 :rule chain_m_resolution :premises (@p782 @p207 @p780 @p755 @p263) :args (@t618 (@list false true true false) (@list @t285 @t615 @t602 @t619))) % 164.15/164.32 (step @p784 :rule instantiate :premises (@p7) :args ((@list @t620))) % 164.15/164.32 (step @p785 :rule refl :args (@t623)) % 164.15/164.32 (step @p786 :rule bool-double-not-elim :args (@t617)) % 164.15/164.32 (step @p787 :rule refl :args (@t606)) % 164.15/164.32 (step @p788 :rule refl :args (@t625)) % 164.15/164.32 (step @p789 :rule refl :args (@t607)) % 164.15/164.32 (step @p790 :rule refl :args (@t608)) % 164.15/164.32 (step @p791 :rule nary_cong :premises (@p790 @p789 @p788 @p787 @p786 @p785) :args ((or @t608 @t607 @t625 @t606 (not @t618) @t623))) % 164.15/164.32 (assume-push @p879 @t622) % 164.15/164.32 (assume-push @p880 @t624) % 164.15/164.32 (assume-push @p881 @t283) % 164.15/164.32 (assume-push @p882 @t307) % 164.15/164.32 (assume-push @p883 @t332) % 164.15/164.32 (assume-push @p884 @t618) % 164.15/164.32 (step @p798 :rule evaluate :args ((= false true))) % 164.15/164.32 (step @p799 :rule true_intro :premises (@p784)) % 164.15/164.32 (step @p800 :rule symm :premises (@p238)) % 164.15/164.32 (step @p712 :rule symm :premises (@p237)) % 164.15/164.32 (step @p715 :rule symm :premises (@p210)) % 164.15/164.32 (step @p716 :rule cong :premises (@p445 @p715) :args (@t428)) % 164.15/164.32 (step @p801 :rule cong :premises (@p716 @p712) :args (@t429)) % 164.15/164.32 (step @p802 :rule symm :premises (@p262)) % 164.15/164.32 (step @p803 :rule trans :premises (@p802 @p237)) % 164.15/164.32 (step @p804 :rule cong :premises (@p445 @p802) :args (@t335)) % 164.15/164.32 (step @p805 :rule trans :premises (@p804 @p619)) % 164.15/164.32 (step @p806 :rule cong :premises (@p805 @p803) :args (@t336)) % 164.15/164.32 (step @p807 :rule trans :premises (@p806 @p801 @p800)) % 164.15/164.32 (step @p808 :rule cong :premises (@p807 @p205) :args (@t617)) % 164.15/164.32 (step @p809 :rule false_intro :premises (@p884)) % 164.15/164.32 (step @p810 :rule symm :premises (@p809)) % 164.15/164.32 (step @p811 :rule trans :premises (@p810 @p808 @p799)) % 164.15/164.32 (step @p812 false :rule eq_resolve :premises (@p811 @p798)) % 164.15/164.32 (step-pop @p885 :rule scope :premises (@p812)) % 164.15/164.32 (step-pop @p886 :rule scope :premises (@p885)) % 164.15/164.32 (step-pop @p887 :rule scope :premises (@p886)) % 164.15/164.32 (step-pop @p888 :rule scope :premises (@p887)) % 164.15/164.32 (step-pop @p889 :rule scope :premises (@p888)) % 164.15/164.32 (step-pop @p890 :rule scope :premises (@p889)) % 164.15/164.32 (step @p813 :rule process_scope :premises (@p890) :args (false)) % 164.15/164.32 (assume-push @p891 @t283) % 164.15/164.32 (assume-push @p892 @t307) % 164.15/164.32 (assume-push @p893 @t624) % 164.15/164.32 (assume-push @p894 @t332) % 164.15/164.32 (assume-push @p895 @t618) % 164.15/164.32 (assume-push @p896 @t622) % 164.15/164.32 (step @p826 :rule and_intro :premises (@p784 @p238 @p210 @p237 @p262 @p895)) % 164.15/164.32 (step-pop @p897 :rule scope :premises (@p826)) % 164.15/164.32 (step-pop @p898 :rule scope :premises (@p897)) % 164.15/164.32 (step-pop @p899 :rule scope :premises (@p898)) % 164.15/164.32 (step-pop @p900 :rule scope :premises (@p899)) % 164.15/164.32 (step-pop @p901 :rule scope :premises (@p900)) % 164.15/164.32 (step-pop @p902 :rule scope :premises (@p901)) % 164.15/164.32 (step @p827 :rule process_scope :premises (@p902) :args (@t626)) % 164.15/164.32 (step @p834 :rule implies_elim :premises (@p827)) % 164.15/164.32 (step @p835 :rule resolution :premises (@p834 @p813) :args (true @t626)) % 164.15/164.32 (step @p836 :rule not_and :premises (@p835)) % 164.15/164.32 (step @p837 :rule eq_resolve :premises (@p836 @p791)) % 164.15/164.32 (step @p838 false :rule chain_m_resolution :premises (@p837 @p784 @p783 @p262 @p238 @p237 @p210) :args (false (@list false true false false false false) (@list @t622 @t617 @t332 @t624 @t307 @t283))) % 164.15/164.32 ) % 164.15/164.32 % SZS output end Proof % 164.15/164.32 % cvc5 exiting %------------------------------------------------------------------------------