%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP004+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 : n026.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:24:23 AM UTC 2026 % Result : Theorem 33.61s 33.84s % Output : Proof 33.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP004+2 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n026.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 03:37:25 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 33.61/33.84 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.61/33.84 --- Run --no-e-matching --full-saturate-quant at 6... % 33.61/33.84 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.61/33.84 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.61/33.84 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.61/33.84 % SZS status Theorem % 33.61/33.84 % SZS output start Proof % 33.61/33.84 ( % 33.61/33.84 (declare-sort $$unsorted 0) % 33.61/33.84 (declare-const tptp.c_2Epred__set_2EREST (-> $$unsorted $$unsorted)) % 33.61/33.84 (declare-const tptp.c_2Epred__set_2EDELETE (-> $$unsorted $$unsorted)) % 33.61/33.84 (declare-const tptp.c_2Epred__set_2ECHOICE (-> $$unsorted $$unsorted)) % 33.61/33.84 (declare-const tptp.c_2Ebool_2EIN (-> $$unsorted $$unsorted)) % 33.61/33.84 (declare-const tptp.ne (-> $$unsorted Bool)) % 33.61/33.84 (declare-const tptp.c_2Emin_2E_3D (-> $$unsorted $$unsorted)) % 33.61/33.84 (declare-const tptp.ind $$unsorted) % 33.61/33.84 (declare-const tptp.mem (-> $$unsorted $$unsorted Bool)) % 33.61/33.84 (declare-const tptp.i (-> $$unsorted $$unsorted)) % 33.61/33.84 (declare-const tptp.c_2Ebool_2E_2F_5C $$unsorted) % 33.61/33.84 (declare-const tptp.c_2Ebool_2E_21 (-> $$unsorted $$unsorted)) % 33.61/33.84 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted)) % 33.61/33.84 (declare-const tptp.c_2Emin_2E_3D_3D_3E $$unsorted) % 33.61/33.84 (declare-const tptp.bool $$unsorted) % 33.61/33.84 (declare-const tptp.arr (-> $$unsorted $$unsorted $$unsorted)) % 33.61/33.84 (declare-const tptp.p (-> $$unsorted Bool)) % 33.61/33.84 (declare-const tptp.k (-> $$unsorted $$unsorted $$unsorted)) % 33.61/33.84 (declare-const tptp.c_2Epred__set_2ESUBSET (-> $$unsorted $$unsorted)) % 33.61/33.84 (declare-const tptp.c_2Ebool_2E_7E $$unsorted) % 33.61/33.84 (define @t1 () (@var "B" $$unsorted)) % 33.61/33.84 (define @t2 () (@var "A" $$unsorted)) % 33.61/33.84 (define @t3 () (tptp.arr @t2 @t1)) % 33.61/33.84 (define @t4 () (tptp.ne @t2)) % 33.61/33.84 (define @t5 () (@list @t2)) % 33.61/33.84 (define @t6 () (@var "X" $$unsorted)) % 33.61/33.84 (define @t7 () (@var "F" $$unsorted)) % 33.61/33.84 (define @t8 () (tptp.ap @t7 @t6)) % 33.61/33.84 (define @t9 () (tptp.mem @t8 @t1)) % 33.61/33.84 (define @t10 () (tptp.mem @t6 @t2)) % 33.61/33.84 (define @t11 () (@list @t6)) % 33.61/33.84 (define @t12 () (forall @t11 (=> @t10 @t9))) % 33.61/33.84 (define @t13 () (tptp.mem @t7 @t3)) % 33.61/33.84 (define @t14 () (=> @t13 @t12)) % 33.61/33.84 (define @t15 () (@list @t2 @t1 @t7)) % 33.61/33.84 (define @t16 () (forall @t15 @t14)) % 33.61/33.84 (define @t17 () (@var "R" $$unsorted)) % 33.61/33.84 (define @t18 () (@var "Q" $$unsorted)) % 33.61/33.84 (define @t19 () (tptp.p @t17)) % 33.61/33.84 (define @t20 () (tptp.p @t18)) % 33.61/33.84 (define @t21 () (tptp.mem @t17 tptp.bool)) % 33.61/33.84 (define @t22 () (@list @t17)) % 33.61/33.84 (define @t23 () (tptp.mem @t18 tptp.bool)) % 33.61/33.84 (define @t24 () (@list @t18)) % 33.61/33.84 (define @t25 () (@var "G" $$unsorted)) % 33.61/33.84 (define @t26 () (@var "Y" $$unsorted)) % 33.61/33.84 (define @t27 () (tptp.arr tptp.bool tptp.bool)) % 33.61/33.84 (define @t28 () (tptp.arr tptp.bool @t27)) % 33.61/33.84 (define @t29 () (@var "A_27a" $$unsorted)) % 33.61/33.84 (define @t30 () (tptp.arr @t29 tptp.bool)) % 33.61/33.84 (define @t31 () (tptp.arr @t30 tptp.bool)) % 33.61/33.84 (define @t32 () (tptp.c_2Epred__set_2ESUBSET @t29)) % 33.61/33.84 (define @t33 () (tptp.ne @t29)) % 33.61/33.84 (define @t34 () (@list @t29)) % 33.61/33.84 (define @t35 () (tptp.c_2Ebool_2EIN @t29)) % 33.61/33.84 (define @t36 () (tptp.c_2Epred__set_2ECHOICE @t29)) % 33.61/33.84 (define @t37 () (tptp.mem @t36 (tptp.arr @t30 @t29))) % 33.61/33.84 (define @t38 () (forall @t34 (=> @t33 @t37))) % 33.61/33.84 (define @t39 () (tptp.arr @t29 @t30)) % 33.61/33.84 (define @t40 () (tptp.c_2Epred__set_2EDELETE @t29)) % 33.61/33.84 (define @t41 () (tptp.c_2Epred__set_2EREST @t29)) % 33.61/33.84 (define @t42 () (tptp.mem @t41 (tptp.arr @t30 @t30))) % 33.61/33.84 (define @t43 () (forall @t34 (=> @t33 @t42))) % 33.61/33.84 (define @t44 () (@var "V1t" $$unsorted)) % 33.61/33.84 (define @t45 () (@var "V2x" $$unsorted)) % 33.61/33.84 (define @t46 () (tptp.ap @t35 @t45)) % 33.61/33.84 (define @t47 () (tptp.p (tptp.ap @t46 @t44))) % 33.61/33.84 (define @t48 () (@var "V0s" $$unsorted)) % 33.61/33.84 (define @t49 () (tptp.p (tptp.ap @t46 @t48))) % 33.61/33.84 (define @t50 () (=> @t49 @t47)) % 33.61/33.84 (define @t51 () (tptp.mem @t45 @t29)) % 33.61/33.84 (define @t52 () (@list @t45)) % 33.61/33.84 (define @t53 () (forall @t52 (=> @t51 @t50))) % 33.61/33.84 (define @t54 () (tptp.ap @t32 @t48)) % 33.61/33.84 (define @t55 () (tptp.p (tptp.ap @t54 @t44))) % 33.61/33.84 (define @t56 () (= @t55 @t53)) % 33.61/33.84 (define @t57 () (tptp.mem @t44 @t30)) % 33.61/33.84 (define @t58 () (=> @t57 @t56)) % 33.61/33.84 (define @t59 () (@list @t44)) % 33.61/33.84 (define @t60 () (forall @t59 @t58)) % 33.61/33.84 (define @t61 () (tptp.mem @t48 @t30)) % 33.61/33.84 (define @t62 () (=> @t61 @t60)) % 33.61/33.84 (define @t63 () (@list @t48)) % 33.61/33.84 (define @t64 () (forall @t63 @t62)) % 33.61/33.84 (define @t65 () (=> @t33 @t64)) % 33.61/33.84 (define @t66 () (forall @t34 @t65)) % 33.61/33.84 (define @t67 () (@var "V2y" $$unsorted)) % 33.61/33.84 (define @t68 () (@var "V1x" $$unsorted)) % 33.61/33.84 (define @t69 () (tptp.ap @t35 @t68)) % 33.61/33.84 (define @t70 () (tptp.p (tptp.ap @t69 @t48))) % 33.61/33.84 (define @t71 () (tptp.ap @t40 @t48)) % 33.61/33.84 (define @t72 () (= (tptp.p (tptp.ap @t69 (tptp.ap @t71 @t67))) (and @t70 (not (= @t68 @t67))))) % 33.61/33.84 (define @t73 () (tptp.mem @t67 @t29)) % 33.61/33.84 (define @t74 () (@list @t67)) % 33.61/33.84 (define @t75 () (forall @t74 (=> @t73 @t72))) % 33.61/33.84 (define @t76 () (tptp.mem @t68 @t29)) % 33.61/33.84 (define @t77 () (=> @t76 @t75)) % 33.61/33.84 (define @t78 () (@list @t68)) % 33.61/33.84 (define @t79 () (forall @t78 @t77)) % 33.61/33.84 (define @t80 () (=> @t61 @t79)) % 33.61/33.84 (define @t81 () (forall @t63 @t80)) % 33.61/33.84 (define @t82 () (=> @t33 @t81)) % 33.61/33.84 (define @t83 () (forall @t34 @t82)) % 33.61/33.84 (define @t84 () (tptp.ap @t41 @t48)) % 33.61/33.84 (define @t85 () (= @t84 (tptp.ap @t71 (tptp.ap @t36 @t48)))) % 33.61/33.84 (define @t86 () (forall @t63 (=> @t61 @t85))) % 33.61/33.84 (define @t87 () (=> @t33 @t86)) % 33.61/33.84 (define @t88 () (forall @t34 @t87)) % 33.61/33.84 (define @t89 () (tptp.p (tptp.ap (tptp.ap @t32 @t84) @t48))) % 33.61/33.84 (define @t90 () (forall @t63 (=> @t61 @t89))) % 33.61/33.84 (define @t91 () (=> @t33 @t90)) % 33.61/33.84 (define @t92 () (forall @t34 @t91)) % 33.61/33.84 (define @t93 () (not @t92)) % 33.61/33.84 (define @t94 () (@var "BOUND_VARIABLE_7690" $$unsorted)) % 33.61/33.84 (define @t95 () (tptp.mem (tptp.ap @t7 @t94) @t1)) % 33.61/33.84 (define @t96 () (not (tptp.mem @t94 @t2))) % 33.61/33.84 (define @t97 () (not @t13)) % 33.61/33.84 (define @t98 () (or @t97 @t96 @t95)) % 33.61/33.84 (define @t99 () (or @t96 @t95)) % 33.61/33.84 (define @t100 () (or @t97 @t99)) % 33.61/33.84 (define @t101 () (@list @t2 @t1 @t7 @t94)) % 33.61/33.84 (define @t102 () (forall @t101 @t100)) % 33.61/33.84 (define @t103 () (@list @t94)) % 33.61/33.84 (define @t104 () (forall @t103 @t100)) % 33.61/33.84 (define @t105 () (forall @t103 @t99)) % 33.61/33.84 (define @t106 () (or @t97 @t105)) % 33.61/33.84 (define @t107 () (forall @t11 (or (not @t10) @t9))) % 33.61/33.84 (define @t108 () (@var "BOUND_VARIABLE_8046" $$unsorted)) % 33.61/33.84 (define @t109 () (@var "BOUND_VARIABLE_8044" $$unsorted)) % 33.61/33.84 (define @t110 () (@var "BOUND_VARIABLE_8042" $$unsorted)) % 33.61/33.84 (define @t111 () (tptp.ap @t35 @t109)) % 33.61/33.84 (define @t112 () (= (tptp.p (tptp.ap @t111 (tptp.ap (tptp.ap @t40 @t110) @t108))) (and (tptp.p (tptp.ap @t111 @t110)) (not (= @t109 @t108))))) % 33.61/33.84 (define @t113 () (not (tptp.mem @t108 @t29))) % 33.61/33.84 (define @t114 () (not (tptp.mem @t109 @t29))) % 33.61/33.84 (define @t115 () (not (tptp.mem @t110 @t30))) % 33.61/33.84 (define @t116 () (not @t33)) % 33.61/33.84 (define @t117 () (or @t116 @t115 @t114 @t113 @t112)) % 33.61/33.84 (define @t118 () (or @t115 @t114 @t113 @t112)) % 33.61/33.84 (define @t119 () (or @t116 @t118)) % 33.61/33.84 (define @t120 () (@list @t29 @t110 @t109 @t108)) % 33.61/33.84 (define @t121 () (forall @t120 @t119)) % 33.61/33.84 (define @t122 () (@list @t110 @t109 @t108)) % 33.61/33.84 (define @t123 () (forall @t122 @t119)) % 33.61/33.84 (define @t124 () (forall @t122 @t118)) % 33.61/33.84 (define @t125 () (@var "BOUND_VARIABLE_8016" $$unsorted)) % 33.61/33.84 (define @t126 () (@var "BOUND_VARIABLE_8014" $$unsorted)) % 33.61/33.84 (define @t127 () (or @t116 @t124)) % 33.61/33.84 (define @t128 () (tptp.ap @t35 @t126)) % 33.61/33.84 (define @t129 () (= (tptp.p (tptp.ap @t128 (tptp.ap @t71 @t125))) (and (tptp.p (tptp.ap @t128 @t48)) (not (= @t126 @t125))))) % 33.61/33.84 (define @t130 () (not (tptp.mem @t125 @t29))) % 33.61/33.84 (define @t131 () (not (tptp.mem @t126 @t29))) % 33.61/33.84 (define @t132 () (not @t61)) % 33.61/33.84 (define @t133 () (or @t132 @t131 @t130 @t129)) % 33.61/33.84 (define @t134 () (@list @t48 @t126 @t125)) % 33.61/33.84 (define @t135 () (forall @t134 @t133)) % 33.61/33.84 (define @t136 () (or @t131 @t130 @t129)) % 33.61/33.84 (define @t137 () (or @t132 @t136)) % 33.61/33.84 (define @t138 () (forall @t134 @t137)) % 33.61/33.84 (define @t139 () (@list @t126 @t125)) % 33.61/33.84 (define @t140 () (forall @t139 @t137)) % 33.61/33.84 (define @t141 () (forall @t139 @t136)) % 33.61/33.84 (define @t142 () (@var "BOUND_VARIABLE_7993" $$unsorted)) % 33.61/33.84 (define @t143 () (or @t132 @t141)) % 33.61/33.84 (define @t144 () (= (tptp.p (tptp.ap @t69 (tptp.ap @t71 @t142))) (and @t70 (not (= @t68 @t142))))) % 33.61/33.84 (define @t145 () (not (tptp.mem @t142 @t29))) % 33.61/33.84 (define @t146 () (not @t76)) % 33.61/33.84 (define @t147 () (or @t146 @t145 @t144)) % 33.61/33.84 (define @t148 () (@list @t68 @t142)) % 33.61/33.84 (define @t149 () (forall @t148 @t147)) % 33.61/33.84 (define @t150 () (or @t145 @t144)) % 33.61/33.84 (define @t151 () (or @t146 @t150)) % 33.61/33.84 (define @t152 () (forall @t148 @t151)) % 33.61/33.84 (define @t153 () (@list @t142)) % 33.61/33.84 (define @t154 () (forall @t153 @t151)) % 33.61/33.84 (define @t155 () (forall @t153 @t150)) % 33.61/33.84 (define @t156 () (or @t146 @t155)) % 33.61/33.84 (define @t157 () (forall @t74 (or (not @t73) @t72))) % 33.61/33.84 (define @t158 () (@var "BOUND_VARIABLE_8100" $$unsorted)) % 33.61/33.84 (define @t159 () (tptp.p (tptp.ap (tptp.ap @t32 (tptp.ap @t41 @t158)) @t158))) % 33.61/33.84 (define @t160 () (not (tptp.mem @t158 @t30))) % 33.61/33.84 (define @t161 () (or @t116 @t160 @t159)) % 33.61/33.84 (define @t162 () (@list @t29 @t158)) % 33.61/33.84 (define @t163 () (forall @t162 @t161)) % 33.61/33.84 (define @t164 () (@quantifiers_skolemize @t163 1)) % 33.61/33.84 (define @t165 () (@quantifiers_skolemize @t163 0)) % 33.61/33.84 (define @t166 () (tptp.c_2Ebool_2EIN @t165)) % 33.61/33.84 (define @t167 () (tptp.ap @t166 @t45)) % 33.61/33.84 (define @t168 () (tptp.c_2Epred__set_2EREST @t165)) % 33.61/33.84 (define @t169 () (tptp.ap @t168 @t164)) % 33.61/33.84 (define @t170 () (forall @t52 (or (not (tptp.mem @t45 @t165)) (not (tptp.p (tptp.ap @t167 @t169))) (tptp.p (tptp.ap @t167 @t164))))) % 33.61/33.84 (define @t171 () (@quantifiers_skolemize @t170 0)) % 33.61/33.84 (define @t172 () (tptp.c_2Epred__set_2ECHOICE @t165)) % 33.61/33.84 (define @t173 () (tptp.ap @t172 @t164)) % 33.61/33.84 (define @t174 () (not (= @t171 @t173))) % 33.61/33.84 (define @t175 () (tptp.ap @t166 @t171)) % 33.61/33.84 (define @t176 () (tptp.p (tptp.ap @t175 @t164))) % 33.61/33.84 (define @t177 () (and @t176 @t174)) % 33.61/33.84 (define @t178 () (tptp.ap (tptp.ap (tptp.c_2Epred__set_2EDELETE @t165) @t164) @t173)) % 33.61/33.84 (define @t179 () (tptp.ap @t175 @t178)) % 33.61/33.84 (define @t180 () (tptp.p @t179)) % 33.61/33.84 (define @t181 () (= @t180 @t177)) % 33.61/33.84 (define @t182 () (tptp.mem @t173 @t165)) % 33.61/33.84 (define @t183 () (not @t182)) % 33.61/33.84 (define @t184 () (tptp.mem @t171 @t165)) % 33.61/33.84 (define @t185 () (not @t184)) % 33.61/33.84 (define @t186 () (tptp.arr @t165 tptp.bool)) % 33.61/33.84 (define @t187 () (tptp.mem @t164 @t186)) % 33.61/33.84 (define @t188 () (not @t187)) % 33.61/33.84 (define @t189 () (tptp.ne @t165)) % 33.61/33.84 (define @t190 () (not @t189)) % 33.61/33.84 (define @t191 () (or @t190 @t188 @t185 @t183 @t181)) % 33.61/33.84 (define @t192 () (forall @t120 @t117)) % 33.61/33.84 (define @t193 () (and @t176 (not (= @t173 @t171)))) % 33.61/33.84 (define @t194 () (= @t180 @t193)) % 33.61/33.84 (define @t195 () (or @t190 @t188 @t185 @t183 @t194)) % 33.61/33.84 (define @t196 () (@var "BOUND_VARIABLE_7961" $$unsorted)) % 33.61/33.84 (define @t197 () (@var "BOUND_VARIABLE_7959" $$unsorted)) % 33.61/33.84 (define @t198 () (not @t51)) % 33.61/33.84 (define @t199 () (= (tptp.p (tptp.ap (tptp.ap @t32 @t197) @t196)) (forall @t52 (or @t198 (not (tptp.p (tptp.ap @t46 @t197))) (tptp.p (tptp.ap @t46 @t196)))))) % 33.61/33.84 (define @t200 () (not (tptp.mem @t196 @t30))) % 33.61/33.84 (define @t201 () (not (tptp.mem @t197 @t30))) % 33.61/33.84 (define @t202 () (or @t201 @t200 @t199)) % 33.61/33.84 (define @t203 () (or @t116 @t202)) % 33.61/33.84 (define @t204 () (forall (@list @t29 @t197 @t196) @t203)) % 33.61/33.84 (define @t205 () (@list @t197 @t196)) % 33.61/33.84 (define @t206 () (forall @t205 @t203)) % 33.61/33.84 (define @t207 () (forall @t205 @t202)) % 33.61/33.84 (define @t208 () (@var "BOUND_VARIABLE_7938" $$unsorted)) % 33.61/33.84 (define @t209 () (or @t116 @t207)) % 33.61/33.84 (define @t210 () (not @t49)) % 33.61/33.84 (define @t211 () (= (tptp.p (tptp.ap @t54 @t208)) (forall @t52 (or @t198 @t210 (tptp.p (tptp.ap @t46 @t208)))))) % 33.61/33.84 (define @t212 () (not (tptp.mem @t208 @t30))) % 33.61/33.84 (define @t213 () (or @t132 @t212 @t211)) % 33.61/33.84 (define @t214 () (@list @t48 @t208)) % 33.61/33.84 (define @t215 () (forall @t214 @t213)) % 33.61/33.84 (define @t216 () (or @t212 @t211)) % 33.61/33.84 (define @t217 () (or @t132 @t216)) % 33.61/33.84 (define @t218 () (forall @t214 @t217)) % 33.61/33.84 (define @t219 () (@list @t208)) % 33.61/33.84 (define @t220 () (forall @t219 @t217)) % 33.61/33.84 (define @t221 () (forall @t219 @t216)) % 33.61/33.84 (define @t222 () (or @t132 @t221)) % 33.61/33.84 (define @t223 () (or @t198 @t210 @t47)) % 33.61/33.84 (define @t224 () (= @t55 (forall @t52 @t223))) % 33.61/33.84 (define @t225 () (forall @t59 (or (not @t57) @t224))) % 33.61/33.84 (define @t226 () (@list @t165)) % 33.61/33.84 (define @t227 () (or @t160 @t159)) % 33.61/33.84 (define @t228 () (or @t116 @t227)) % 33.61/33.84 (define @t229 () (forall @t162 @t228)) % 33.61/33.84 (define @t230 () (@list @t158)) % 33.61/33.84 (define @t231 () (forall @t230 @t228)) % 33.61/33.84 (define @t232 () (forall @t230 @t227)) % 33.61/33.84 (define @t233 () (@list @t48)) % 33.61/33.84 (define @t234 () (or @t116 @t232)) % 33.61/33.84 (define @t235 () (forall @t63 (or @t132 @t89))) % 33.61/33.84 (define @t236 () (tptp.p (tptp.ap (tptp.ap (tptp.c_2Epred__set_2ESUBSET @t165) @t169) @t164))) % 33.61/33.84 (define @t237 () (or @t190 @t188 @t236)) % 33.61/33.84 (define @t238 () (@list true)) % 33.61/33.84 (define @t239 () (@list @t237)) % 33.61/33.84 (define @t240 () (tptp.mem @t168 (tptp.arr @t186 @t186))) % 33.61/33.84 (define @t241 () (or @t190 @t240)) % 33.61/33.84 (define @t242 () (@list false false)) % 33.61/33.84 (define @t243 () (tptp.mem @t169 @t186)) % 33.61/33.84 (define @t244 () (not @t240)) % 33.61/33.84 (define @t245 () (or @t244 @t188 @t243)) % 33.61/33.84 (define @t246 () (@list false false false)) % 33.61/33.84 (define @t247 () (= @t236 @t170)) % 33.61/33.84 (define @t248 () (not @t243)) % 33.61/33.84 (define @t249 () (or @t190 @t248 @t188 @t247)) % 33.61/33.84 (define @t250 () (not @t170)) % 33.61/33.84 (define @t251 () (@list true false)) % 33.61/33.84 (define @t252 () (tptp.p (tptp.ap @t175 @t169))) % 33.61/33.84 (define @t253 () (not @t252)) % 33.61/33.84 (define @t254 () (or @t185 @t253 @t176)) % 33.61/33.84 (define @t255 () (@list @t254)) % 33.61/33.84 (define @t256 () (@var "BOUND_VARIABLE_8078" $$unsorted)) % 33.61/33.84 (define @t257 () (= (tptp.ap @t41 @t256) (tptp.ap (tptp.ap @t40 @t256) (tptp.ap @t36 @t256)))) % 33.61/33.84 (define @t258 () (not (tptp.mem @t256 @t30))) % 33.61/33.84 (define @t259 () (or @t258 @t257)) % 33.61/33.84 (define @t260 () (or @t116 @t259)) % 33.61/33.84 (define @t261 () (forall (@list @t29 @t256) @t260)) % 33.61/33.84 (define @t262 () (@list @t256)) % 33.61/33.84 (define @t263 () (forall @t262 @t260)) % 33.61/33.84 (define @t264 () (forall @t262 @t259)) % 33.61/33.84 (define @t265 () (or @t116 @t264)) % 33.61/33.84 (define @t266 () (forall @t63 (or @t132 @t85))) % 33.61/33.84 (define @t267 () (= @t169 @t178)) % 33.61/33.84 (define @t268 () (or @t190 @t188 @t267)) % 33.61/33.84 (define @t269 () (not @t193)) % 33.61/33.84 (define @t270 () (not @t194)) % 33.61/33.84 (define @t271 () (tptp.mem @t172 (tptp.arr @t186 @t165))) % 33.61/33.84 (define @t272 () (or @t190 @t271)) % 33.61/33.84 (define @t273 () (not @t271)) % 33.61/33.84 (define @t274 () (or @t273 @t188 @t182)) % 33.61/33.84 (define @t275 () (not @t274)) % 33.61/33.84 (define @t276 () (forall @t101 @t98)) % 33.61/33.84 (assume @p1 (tptp.ne tptp.bool)) % 33.61/33.84 (assume @p2 (tptp.ne tptp.ind)) % 33.61/33.84 (assume @p3 (forall @t5 (=> @t4 (forall (@list @t1) (=> (tptp.ne @t1) (tptp.ne @t3)))))) % 33.61/33.84 (assume @p4 @t16) % 33.61/33.84 (assume @p5 (forall @t24 (=> @t23 (forall @t22 (=> @t21 (=> (= @t20 @t19) (= @t18 @t17))))))) % 33.61/33.84 (assume @p6 (forall @t15 (=> @t13 (forall (@list @t25) (=> (tptp.mem @t25 @t3) (=> (forall @t11 (=> @t10 (= @t8 (tptp.ap @t25 @t6)))) (= @t7 @t25))))))) % 33.61/33.84 (assume @p7 (forall (@list @t2 @t26 @t6) (=> @t10 (= (tptp.ap (tptp.k @t2 @t26) @t6) @t26)))) % 33.61/33.84 (assume @p8 (forall (@list @t2 @t6) (=> @t10 (= (tptp.ap (tptp.i @t2) @t6) @t6)))) % 33.61/33.84 (assume @p9 (tptp.mem tptp.c_2Emin_2E_3D_3D_3E @t28)) % 33.61/33.84 (assume @p10 (forall @t24 (=> @t23 (forall @t22 (=> @t21 (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Emin_2E_3D_3D_3E @t18) @t17)) (=> @t20 @t19))))))) % 33.61/33.84 (assume @p11 (forall @t34 (=> @t33 (tptp.mem @t32 (tptp.arr @t30 @t31))))) % 33.61/33.84 (assume @p12 (tptp.mem tptp.c_2Ebool_2E_7E @t27)) % 33.61/33.84 (assume @p13 (forall @t24 (=> @t23 (= (tptp.p (tptp.ap tptp.c_2Ebool_2E_7E @t18)) (not @t20))))) % 33.61/33.84 (assume @p14 (tptp.mem tptp.c_2Ebool_2E_2F_5C @t28)) % 33.61/33.84 (assume @p15 (forall @t24 (=> @t23 (forall @t22 (=> @t21 (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Ebool_2E_2F_5C @t18) @t17)) (and @t20 @t19))))))) % 33.61/33.84 (assume @p16 (forall @t34 (=> @t33 (tptp.mem @t35 (tptp.arr @t29 @t31))))) % 33.61/33.84 (assume @p17 @t38) % 33.61/33.84 (assume @p18 (forall @t34 (=> @t33 (tptp.mem @t40 (tptp.arr @t30 @t39))))) % 33.61/33.84 (assume @p19 @t43) % 33.61/33.84 (assume @p20 (forall @t34 (=> @t33 (tptp.mem (tptp.c_2Emin_2E_3D @t29) @t39)))) % 33.61/33.84 (assume @p21 (forall @t5 (=> @t4 (forall @t11 (=> @t10 (forall (@list @t26) (=> (tptp.mem @t26 @t2) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2Emin_2E_3D @t2) @t6) @t26)) (= @t6 @t26))))))))) % 33.61/33.84 (assume @p22 (forall @t34 (=> @t33 (tptp.mem (tptp.c_2Ebool_2E_21 @t29) @t31)))) % 33.61/33.84 (assume @p23 (forall @t5 (=> @t4 (forall @t24 (=> (tptp.mem @t18 (tptp.arr @t2 tptp.bool)) (= (tptp.p (tptp.ap (tptp.c_2Ebool_2E_21 @t2) @t18)) (forall @t11 (=> @t10 (tptp.p (tptp.ap @t18 @t6)))))))))) % 33.61/33.84 (assume @p24 @t66) % 33.61/33.84 (assume @p25 @t83) % 33.61/33.84 (assume @p26 @t88) % 33.61/33.84 (assume @p27 @t93) % 33.61/33.84 (assume @p28 true) % 33.61/33.84 (step @p29 :rule aci_norm :args ((= @t100 @t98))) % 33.61/33.84 (step @p30 :rule cong :premises (@p29) :args (@t102)) % 33.61/33.84 (step @p31 :rule quant-merge-prenex :args ((= (forall @t15 @t104) @t102))) % 33.61/33.84 (step @p32 :rule alpha_equiv :args (@t105 (@list @t94) (@list @t6))) % 33.61/33.84 (step @p33 :rule refl :args (@t97)) % 33.61/33.84 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t106)) % 33.61/33.84 (step @p35 :rule quant-miniscope-or :args ((= @t104 @t106))) % 33.61/33.84 (step @p36 :rule trans :premises (@p35 @p34)) % 33.61/33.84 (step @p37 :rule symm :premises (@p36)) % 33.61/33.84 (step @p38 :rule cong :premises (@p37) :args ((forall @t15 (or @t97 @t107)))) % 33.61/33.84 (step @p39 :rule trans :premises (@p38 @p31)) % 33.61/33.84 (step @p40 :rule trans :premises (@p39 @p30)) % 33.61/33.84 (step @p41 :rule bool-impl-elim :args (@t13 @t107)) % 33.61/33.84 (step @p42 :rule cong :premises (@p41) :args ((forall @t15 (=> @t13 @t107)))) % 33.61/33.84 (step @p43 :rule trans :premises (@p42 @p40)) % 33.61/33.84 (step @p44 :rule bool-impl-elim :args (@t10 @t9)) % 33.61/33.84 (step @p45 :rule cong :premises (@p44) :args (@t12)) % 33.61/33.84 (step @p46 :rule refl :args (@t13)) % 33.61/33.84 (step @p47 :rule cong :premises (@p46 @p45) :args (@t14)) % 33.61/33.84 (step @p48 :rule cong :premises (@p47) :args (@t16)) % 33.61/33.84 (step @p49 :rule trans :premises (@p48 @p43)) % 33.61/33.84 (step @p50 :rule eq_resolve :premises (@p4 @p49)) % 33.61/33.84 (step @p51 :rule aci_norm :args ((= @t119 @t117))) % 33.61/33.84 (step @p52 :rule cong :premises (@p51) :args (@t121)) % 33.61/33.84 (step @p53 :rule quant-merge-prenex :args ((= (forall @t34 @t123) @t121))) % 33.61/33.84 (step @p54 :rule alpha_equiv :args (@t124 (@list @t110 @t109 @t108) (@list @t48 @t126 @t125))) % 33.61/33.84 (step @p55 :rule refl :args (@t116)) % 33.61/33.84 (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t127)) % 33.61/33.84 (step @p57 :rule quant-miniscope-or :args ((= @t123 @t127))) % 33.61/33.84 (step @p58 :rule trans :premises (@p57 @p56)) % 33.61/33.84 (step @p59 :rule symm :premises (@p58)) % 33.61/33.84 (step @p60 :rule cong :premises (@p59) :args ((forall @t34 (or @t116 @t135)))) % 33.61/33.84 (step @p61 :rule trans :premises (@p60 @p53)) % 33.61/33.84 (step @p62 :rule trans :premises (@p61 @p52)) % 33.61/33.84 (step @p63 :rule bool-impl-elim :args (@t33 @t135)) % 33.61/33.84 (step @p64 :rule cong :premises (@p63) :args ((forall @t34 (=> @t33 @t135)))) % 33.61/33.84 (step @p65 :rule trans :premises (@p64 @p62)) % 33.61/33.84 (step @p66 :rule aci_norm :args ((= @t137 @t133))) % 33.61/33.84 (step @p67 :rule cong :premises (@p66) :args (@t138)) % 33.61/33.84 (step @p68 :rule quant-merge-prenex :args ((= (forall @t63 @t140) @t138))) % 33.61/33.84 (step @p69 :rule alpha_equiv :args (@t141 (@list @t126 @t125) (@list @t68 @t142))) % 33.61/33.84 (step @p70 :rule refl :args (@t132)) % 33.61/33.84 (step @p71 :rule nary_cong :premises (@p70 @p69) :args (@t143)) % 33.61/33.84 (step @p72 :rule quant-miniscope-or :args ((= @t140 @t143))) % 33.61/33.84 (step @p73 :rule trans :premises (@p72 @p71)) % 33.61/33.84 (step @p74 :rule symm :premises (@p73)) % 33.61/33.84 (step @p75 :rule cong :premises (@p74) :args ((forall @t63 (or @t132 @t149)))) % 33.61/33.84 (step @p76 :rule trans :premises (@p75 @p68)) % 33.61/33.84 (step @p77 :rule trans :premises (@p76 @p67)) % 33.61/33.84 (step @p78 :rule bool-impl-elim :args (@t61 @t149)) % 33.61/33.84 (step @p79 :rule cong :premises (@p78) :args ((forall @t63 (=> @t61 @t149)))) % 33.61/33.84 (step @p80 :rule trans :premises (@p79 @p77)) % 33.61/33.84 (step @p81 :rule aci_norm :args ((= @t151 @t147))) % 33.61/33.84 (step @p82 :rule cong :premises (@p81) :args (@t152)) % 33.61/33.84 (step @p83 :rule quant-merge-prenex :args ((= (forall @t78 @t154) @t152))) % 33.61/33.84 (step @p84 :rule alpha_equiv :args (@t155 (@list @t142) (@list @t67))) % 33.61/33.84 (step @p85 :rule refl :args (@t146)) % 33.61/33.84 (step @p86 :rule nary_cong :premises (@p85 @p84) :args (@t156)) % 33.61/33.84 (step @p87 :rule quant-miniscope-or :args ((= @t154 @t156))) % 33.61/33.84 (step @p88 :rule trans :premises (@p87 @p86)) % 33.61/33.84 (step @p89 :rule symm :premises (@p88)) % 33.61/33.84 (step @p90 :rule cong :premises (@p89) :args ((forall @t78 (or @t146 @t157)))) % 33.61/33.84 (step @p91 :rule trans :premises (@p90 @p83)) % 33.61/33.84 (step @p92 :rule trans :premises (@p91 @p82)) % 33.61/33.84 (step @p93 :rule bool-impl-elim :args (@t76 @t157)) % 33.61/33.84 (step @p94 :rule cong :premises (@p93) :args ((forall @t78 (=> @t76 @t157)))) % 33.61/33.84 (step @p95 :rule trans :premises (@p94 @p92)) % 33.61/33.84 (step @p96 :rule bool-impl-elim :args (@t73 @t72)) % 33.61/33.84 (step @p97 :rule cong :premises (@p96) :args (@t75)) % 33.61/33.84 (step @p98 :rule refl :args (@t76)) % 33.61/33.84 (step @p99 :rule cong :premises (@p98 @p97) :args (@t77)) % 33.61/33.84 (step @p100 :rule cong :premises (@p99) :args (@t79)) % 33.61/33.84 (step @p101 :rule trans :premises (@p100 @p95)) % 33.61/33.84 (step @p102 :rule refl :args (@t61)) % 33.61/33.84 (step @p103 :rule cong :premises (@p102 @p101) :args (@t80)) % 33.61/33.84 (step @p104 :rule cong :premises (@p103) :args (@t81)) % 33.61/33.84 (step @p105 :rule trans :premises (@p104 @p80)) % 33.61/33.84 (step @p106 :rule refl :args (@t33)) % 33.61/33.84 (step @p107 :rule cong :premises (@p106 @p105) :args (@t82)) % 33.61/33.84 (step @p108 :rule cong :premises (@p107) :args (@t83)) % 33.61/33.84 (step @p109 :rule trans :premises (@p108 @p65)) % 33.61/33.84 (step @p110 :rule eq_resolve :premises (@p25 @p109)) % 33.61/33.84 (step @p111 :rule eq-symm :args (@t171 @t173)) % 33.61/33.84 (step @p112 :rule cong :premises (@p111) :args (@t174)) % 33.61/33.84 (step @p113 :rule refl :args (@t176)) % 33.61/33.84 (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t177)) % 33.61/33.84 (step @p115 :rule refl :args (@t180)) % 33.61/33.84 (step @p116 :rule cong :premises (@p115 @p114) :args (@t181)) % 33.61/33.84 (step @p117 :rule refl :args (@t183)) % 33.61/33.84 (step @p118 :rule refl :args (@t185)) % 33.61/33.84 (step @p119 :rule refl :args (@t188)) % 33.61/33.84 (step @p120 :rule refl :args (@t190)) % 33.61/33.84 (step @p121 :rule nary_cong :premises (@p120 @p119 @p118 @p117 @p116) :args (@t191)) % 33.61/33.84 (step @p122 :rule refl :args (@t192)) % 33.61/33.84 (step @p123 :rule cong :premises (@p122 @p121) :args ((=> @t192 @t191))) % 33.61/33.84 (assume-push @p309 @t192) % 33.61/33.84 (step @p125 :rule instantiate :premises (@p110) :args ((@list @t165 @t164 @t171 @t173))) % 33.61/33.84 (step-pop @p310 :rule scope :premises (@p125)) % 33.61/33.84 (step @p126 :rule process_scope :premises (@p310) :args (@t191)) % 33.61/33.84 (step @p128 :rule eq_resolve :premises (@p126 @p123)) % 33.61/33.84 (step @p129 :rule implies_elim :premises (@p128)) % 33.61/33.84 (step @p130 :rule chain_m_resolution :premises (@p129 @p110) :args (@t195 (@list false) (@list @t192))) % 33.61/33.84 (step @p131 :rule aci_norm :args ((= @t203 (or @t116 @t201 @t200 @t199)))) % 33.61/33.84 (step @p132 :rule cong :premises (@p131) :args (@t204)) % 33.61/33.84 (step @p133 :rule quant-merge-prenex :args ((= (forall @t34 @t206) @t204))) % 33.61/33.84 (step @p134 :rule alpha_equiv :args (@t207 (@list @t197 @t196) (@list @t48 @t208))) % 33.61/33.84 (step @p135 :rule nary_cong :premises (@p55 @p134) :args (@t209)) % 33.61/33.84 (step @p136 :rule quant-miniscope-or :args ((= @t206 @t209))) % 33.61/33.84 (step @p137 :rule trans :premises (@p136 @p135)) % 33.61/33.84 (step @p138 :rule symm :premises (@p137)) % 33.61/33.84 (step @p139 :rule cong :premises (@p138) :args ((forall @t34 (or @t116 @t215)))) % 33.61/33.84 (step @p140 :rule trans :premises (@p139 @p133)) % 33.61/33.84 (step @p141 :rule trans :premises (@p140 @p132)) % 33.61/33.84 (step @p142 :rule bool-impl-elim :args (@t33 @t215)) % 33.61/33.84 (step @p143 :rule cong :premises (@p142) :args ((forall @t34 (=> @t33 @t215)))) % 33.61/33.84 (step @p144 :rule trans :premises (@p143 @p141)) % 33.61/33.84 (step @p145 :rule aci_norm :args ((= @t217 @t213))) % 33.61/33.84 (step @p146 :rule cong :premises (@p145) :args (@t218)) % 33.61/33.84 (step @p147 :rule quant-merge-prenex :args ((= (forall @t63 @t220) @t218))) % 33.61/33.84 (step @p148 :rule alpha_equiv :args (@t221 (@list @t208) (@list @t44))) % 33.61/33.84 (step @p149 :rule nary_cong :premises (@p70 @p148) :args (@t222)) % 33.61/33.84 (step @p150 :rule quant-miniscope-or :args ((= @t220 @t222))) % 33.61/33.84 (step @p151 :rule trans :premises (@p150 @p149)) % 33.61/33.84 (step @p152 :rule symm :premises (@p151)) % 33.61/33.84 (step @p153 :rule cong :premises (@p152) :args ((forall @t63 (or @t132 @t225)))) % 33.61/33.84 (step @p154 :rule trans :premises (@p153 @p147)) % 33.61/33.84 (step @p155 :rule trans :premises (@p154 @p146)) % 33.61/33.84 (step @p156 :rule bool-impl-elim :args (@t61 @t225)) % 33.61/33.84 (step @p157 :rule cong :premises (@p156) :args ((forall @t63 (=> @t61 @t225)))) % 33.61/33.84 (step @p158 :rule trans :premises (@p157 @p155)) % 33.61/33.84 (step @p159 :rule bool-impl-elim :args (@t57 @t224)) % 33.61/33.84 (step @p160 :rule cong :premises (@p159) :args ((forall @t59 (=> @t57 @t224)))) % 33.61/33.84 (step @p161 :rule aci_norm :args ((= (or @t198 (or @t210 @t47)) @t223))) % 33.61/33.84 (step @p162 :rule bool-impl-elim :args (@t49 @t47)) % 33.61/33.84 (step @p163 :rule refl :args (@t198)) % 33.61/33.84 (step @p164 :rule nary_cong :premises (@p163 @p162) :args ((or @t198 @t50))) % 33.61/33.84 (step @p165 :rule trans :premises (@p164 @p161)) % 33.61/33.84 (step @p166 :rule bool-impl-elim :args (@t51 @t50)) % 33.61/33.84 (step @p167 :rule trans :premises (@p166 @p165)) % 33.61/33.84 (step @p168 :rule cong :premises (@p167) :args (@t53)) % 33.61/33.84 (step @p169 :rule refl :args (@t55)) % 33.61/33.84 (step @p170 :rule cong :premises (@p169 @p168) :args (@t56)) % 33.61/33.84 (step @p171 :rule refl :args (@t57)) % 33.61/33.84 (step @p172 :rule cong :premises (@p171 @p170) :args (@t58)) % 33.61/33.84 (step @p173 :rule cong :premises (@p172) :args (@t60)) % 33.61/33.84 (step @p174 :rule trans :premises (@p173 @p160)) % 33.61/33.84 (step @p175 :rule cong :premises (@p102 @p174) :args (@t62)) % 33.61/33.84 (step @p176 :rule cong :premises (@p175) :args (@t64)) % 33.61/33.84 (step @p177 :rule trans :premises (@p176 @p158)) % 33.61/33.84 (step @p178 :rule cong :premises (@p106 @p177) :args (@t65)) % 33.61/33.84 (step @p179 :rule cong :premises (@p178) :args (@t66)) % 33.61/33.84 (step @p180 :rule trans :premises (@p179 @p144)) % 33.61/33.84 (step @p181 :rule eq_resolve :premises (@p24 @p180)) % 33.61/33.84 (step @p182 :rule instantiate :premises (@p181) :args ((@list @t165 @t169 @t164))) % 33.61/33.84 (step @p183 :rule instantiate :premises (@p50) :args ((@list @t186 @t186 @t168 @t164))) % 33.61/33.84 (step @p184 :rule bool-impl-elim :args (@t33 @t42)) % 33.61/33.84 (step @p185 :rule cong :premises (@p184) :args (@t43)) % 33.61/33.84 (step @p186 :rule eq_resolve :premises (@p19 @p185)) % 33.61/33.84 (step @p187 :rule instantiate :premises (@p186) :args (@t226)) % 33.61/33.84 (step @p188 :rule aci_norm :args ((= @t228 @t161))) % 33.61/33.84 (step @p189 :rule cong :premises (@p188) :args (@t229)) % 33.61/33.84 (step @p190 :rule quant-merge-prenex :args ((= (forall @t34 @t231) @t229))) % 33.61/33.84 (step @p191 :rule alpha_equiv :args (@t232 (@list @t158) @t233)) % 33.61/33.84 (step @p192 :rule nary_cong :premises (@p55 @p191) :args (@t234)) % 33.61/33.84 (step @p193 :rule quant-miniscope-or :args ((= @t231 @t234))) % 33.61/33.84 (step @p194 :rule trans :premises (@p193 @p192)) % 33.61/33.84 (step @p195 :rule symm :premises (@p194)) % 33.61/33.84 (step @p196 :rule cong :premises (@p195) :args ((forall @t34 (or @t116 @t235)))) % 33.61/33.84 (step @p197 :rule trans :premises (@p196 @p190)) % 33.61/33.84 (step @p198 :rule trans :premises (@p197 @p189)) % 33.61/33.84 (step @p199 :rule bool-impl-elim :args (@t33 @t235)) % 33.61/33.84 (step @p200 :rule cong :premises (@p199) :args ((forall @t34 (=> @t33 @t235)))) % 33.61/33.84 (step @p201 :rule trans :premises (@p200 @p198)) % 33.61/33.84 (step @p202 :rule bool-impl-elim :args (@t61 @t89)) % 33.61/33.84 (step @p203 :rule cong :premises (@p202) :args (@t90)) % 33.61/33.84 (step @p204 :rule cong :premises (@p106 @p203) :args (@t91)) % 33.61/33.84 (step @p205 :rule cong :premises (@p204) :args (@t92)) % 33.61/33.84 (step @p206 :rule trans :premises (@p205 @p201)) % 33.61/33.84 (step @p207 :rule cong :premises (@p206) :args (@t93)) % 33.61/33.84 (step @p208 :rule eq_resolve :premises (@p27 @p207)) % 33.61/33.84 (step @p209 :rule skolemize :premises (@p208)) % 33.61/33.84 (step @p210 :rule bool-double-not-elim :args (@t189)) % 33.61/33.84 (step @p211 :rule refl :args (@t237)) % 33.61/33.84 (step @p212 :rule nary_cong :premises (@p211 @p210) :args ((or @t237 (not @t190)))) % 33.61/33.84 (step @p213 :rule cnf_or_neg :args (@t237 0)) % 33.61/33.84 (step @p214 :rule eq_resolve :premises (@p213 @p212)) % 33.61/33.84 (step @p215 :rule reordering :premises (@p214) :args ((or @t189 @t237))) % 33.61/33.84 (step @p216 :rule chain_m_resolution :premises (@p215 @p209) :args (@t189 @t238 @t239)) % 33.61/33.84 (step @p217 :rule cnf_or_pos :args (@t241)) % 33.61/33.84 (step @p218 :rule reordering :premises (@p217) :args ((or @t190 @t240 (not @t241)))) % 33.61/33.84 (step @p219 :rule chain_m_resolution :premises (@p218 @p216 @p187) :args (@t240 @t242 (@list @t189 @t241))) % 33.61/33.84 (step @p220 :rule bool-double-not-elim :args (@t187)) % 33.61/33.84 (step @p221 :rule nary_cong :premises (@p211 @p220) :args ((or @t237 (not @t188)))) % 33.61/33.84 (step @p222 :rule cnf_or_neg :args (@t237 1)) % 33.61/33.84 (step @p223 :rule eq_resolve :premises (@p222 @p221)) % 33.61/33.84 (step @p224 :rule reordering :premises (@p223) :args ((or @t187 @t237))) % 33.61/33.84 (step @p225 :rule chain_m_resolution :premises (@p224 @p209) :args (@t187 @t238 @t239)) % 33.61/33.84 (step @p226 :rule cnf_or_pos :args (@t245)) % 33.61/33.84 (step @p227 :rule reordering :premises (@p226) :args ((or @t188 @t243 @t244 (not @t245)))) % 33.61/33.84 (step @p228 :rule chain_m_resolution :premises (@p227 @p225 @p219 @p183) :args (@t243 @t246 (@list @t187 @t240 @t245))) % 33.61/33.84 (step @p229 :rule cnf_or_pos :args (@t249)) % 33.61/33.84 (step @p230 :rule reordering :premises (@p229) :args ((or @t190 @t188 @t248 @t247 (not @t249)))) % 33.61/33.84 (step @p231 :rule chain_m_resolution :premises (@p230 @p216 @p225 @p228 @p182) :args (@t247 (@list false false false false) (@list @t189 @t187 @t243 @t249))) % 33.61/33.84 (step @p232 :rule cnf_or_neg :args (@t237 2)) % 33.61/33.84 (step @p233 :rule chain_m_resolution :premises (@p232 @p209) :args ((not @t236) @t238 @t239)) % 33.61/33.84 (step @p234 :rule cnf_equiv_pos2 :args (@t247)) % 33.61/33.84 (step @p235 :rule reordering :premises (@p234) :args ((or @t236 @t250 (not @t247)))) % 33.61/33.84 (step @p236 :rule chain_m_resolution :premises (@p235 @p233 @p231) :args (@t250 @t251 (@list @t236 @t247))) % 33.61/33.84 (step @p237 :rule skolemize :premises (@p236)) % 33.61/33.84 (step @p238 :rule bool-double-not-elim :args (@t252)) % 33.61/33.84 (step @p239 :rule refl :args (@t254)) % 33.61/33.84 (step @p240 :rule nary_cong :premises (@p239 @p238) :args ((or @t254 (not @t253)))) % 33.61/33.84 (step @p241 :rule cnf_or_neg :args (@t254 1)) % 33.61/33.84 (step @p242 :rule eq_resolve :premises (@p241 @p240)) % 33.61/33.84 (step @p243 :rule reordering :premises (@p242) :args ((or @t252 @t254))) % 33.61/33.84 (step @p244 :rule chain_m_resolution :premises (@p243 @p237) :args (@t252 @t238 @t255)) % 33.61/33.84 (step @p245 :rule true_intro :premises (@p244)) % 33.61/33.84 (step @p246 :rule aci_norm :args ((= @t260 (or @t116 @t258 @t257)))) % 33.61/33.84 (step @p247 :rule cong :premises (@p246) :args (@t261)) % 33.61/33.84 (step @p248 :rule quant-merge-prenex :args ((= (forall @t34 @t263) @t261))) % 33.61/33.84 (step @p249 :rule alpha_equiv :args (@t264 (@list @t256) @t233)) % 33.61/33.84 (step @p250 :rule nary_cong :premises (@p55 @p249) :args (@t265)) % 33.61/33.84 (step @p251 :rule quant-miniscope-or :args ((= @t263 @t265))) % 33.61/33.84 (step @p252 :rule trans :premises (@p251 @p250)) % 33.61/33.84 (step @p253 :rule symm :premises (@p252)) % 33.61/33.84 (step @p254 :rule cong :premises (@p253) :args ((forall @t34 (or @t116 @t266)))) % 33.61/33.84 (step @p255 :rule trans :premises (@p254 @p248)) % 33.61/33.84 (step @p256 :rule trans :premises (@p255 @p247)) % 33.61/33.84 (step @p257 :rule bool-impl-elim :args (@t33 @t266)) % 33.61/33.84 (step @p258 :rule cong :premises (@p257) :args ((forall @t34 (=> @t33 @t266)))) % 33.61/33.84 (step @p259 :rule trans :premises (@p258 @p256)) % 33.61/33.84 (step @p260 :rule bool-impl-elim :args (@t61 @t85)) % 33.61/33.84 (step @p261 :rule cong :premises (@p260) :args (@t86)) % 33.61/33.84 (step @p262 :rule cong :premises (@p106 @p261) :args (@t87)) % 33.61/33.84 (step @p263 :rule cong :premises (@p262) :args (@t88)) % 33.61/33.84 (step @p264 :rule trans :premises (@p263 @p259)) % 33.61/33.84 (step @p265 :rule eq_resolve :premises (@p26 @p264)) % 33.61/33.84 (step @p266 :rule instantiate :premises (@p265) :args ((@list @t165 @t164))) % 33.61/33.84 (step @p267 :rule cnf_or_pos :args (@t268)) % 33.61/33.84 (step @p268 :rule reordering :premises (@p267) :args ((or @t190 @t188 @t267 (not @t268)))) % 33.61/33.84 (step @p269 :rule chain_m_resolution :premises (@p268 @p216 @p225 @p266) :args (@t267 @t246 (@list @t189 @t187 @t268))) % 33.61/33.84 (step @p270 :rule symm :premises (@p269)) % 33.61/33.84 (step @p271 :rule refl :args (@t175)) % 33.61/33.84 (step @p272 :rule cong :premises (@p271 @p270) :args (@t179)) % 33.61/33.84 (step @p273 :rule cong :premises (@p272) :args (@t180)) % 33.61/33.84 (step @p274 :rule trans :premises (@p273 @p245)) % 33.61/33.84 (step @p275 :rule true_elim :premises (@p274)) % 33.61/33.84 (step @p276 :rule cnf_or_neg :args (@t254 2)) % 33.61/33.84 (step @p277 :rule chain_m_resolution :premises (@p276 @p237) :args ((not @t176) @t238 @t255)) % 33.61/33.84 (step @p278 :rule cnf_and_pos :args (@t193 0)) % 33.61/33.84 (step @p279 :rule reordering :premises (@p278) :args ((or @t176 @t269))) % 33.61/33.84 (step @p280 :rule chain_m_resolution :premises (@p279 @p277) :args (@t269 @t238 (@list @t176))) % 33.61/33.84 (step @p281 :rule cnf_equiv_pos1 :args (@t194)) % 33.61/33.84 (step @p282 :rule reordering :premises (@p281) :args ((or @t193 (not @t180) @t270))) % 33.61/33.84 (step @p283 :rule chain_m_resolution :premises (@p282 @p280 @p275) :args (@t270 @t251 (@list @t193 @t180))) % 33.61/33.84 (step @p284 :rule bool-double-not-elim :args (@t184)) % 33.61/33.84 (step @p285 :rule nary_cong :premises (@p239 @p284) :args ((or @t254 (not @t185)))) % 33.61/33.84 (step @p286 :rule cnf_or_neg :args (@t254 0)) % 33.61/33.84 (step @p287 :rule eq_resolve :premises (@p286 @p285)) % 33.61/33.84 (step @p288 :rule reordering :premises (@p287) :args ((or @t184 @t254))) % 33.61/33.84 (step @p289 :rule chain_m_resolution :premises (@p288 @p237) :args (@t184 @t238 @t255)) % 33.61/33.84 (step @p290 :rule cnf_or_pos :args (@t195)) % 33.61/33.84 (step @p291 :rule reordering :premises (@p290) :args ((or @t190 @t188 @t185 @t183 @t194 (not @t195)))) % 33.61/33.84 (step @p292 :rule chain_m_resolution :premises (@p291 @p216 @p225 @p289 @p283 @p130) :args (@t183 (@list false false false true false) (@list @t189 @t187 @t184 @t194 @t195))) % 33.61/33.84 (step @p293 :rule bool-impl-elim :args (@t33 @t37)) % 33.61/33.84 (step @p294 :rule cong :premises (@p293) :args (@t38)) % 33.61/33.84 (step @p295 :rule eq_resolve :premises (@p17 @p294)) % 33.61/33.84 (step @p296 :rule instantiate :premises (@p295) :args (@t226)) % 33.61/33.84 (step @p297 :rule cnf_or_pos :args (@t272)) % 33.61/33.84 (step @p298 :rule reordering :premises (@p297) :args ((or @t190 @t271 (not @t272)))) % 33.61/33.84 (step @p299 :rule chain_m_resolution :premises (@p298 @p216 @p296) :args (@t271 @t242 (@list @t189 @t272))) % 33.61/33.84 (step @p300 :rule cnf_or_pos :args (@t274)) % 33.61/33.84 (step @p301 :rule reordering :premises (@p300) :args ((or @t188 @t273 @t182 @t275))) % 33.61/33.84 (step @p302 :rule chain_m_resolution :premises (@p301 @p225 @p299 @p292) :args (@t275 (@list false false true) (@list @t187 @t271 @t182))) % 33.61/33.84 (assume-push @p311 @t276) % 33.61/33.84 (step @p304 :rule instantiate :premises (@p50) :args ((@list @t186 @t165 @t172 @t164))) % 33.61/33.84 (step-pop @p312 :rule scope :premises (@p304)) % 33.61/33.84 (step @p305 :rule process_scope :premises (@p312) :args (@t274)) % 33.61/33.84 (step @p307 :rule implies_elim :premises (@p305)) % 33.61/33.84 (step @p308 false :rule chain_m_resolution :premises (@p307 @p302 @p50) :args (false @t251 (@list @t274 @t276))) % 33.61/33.84 ) % 33.61/33.84 % SZS output end Proof % 33.61/33.84 % cvc5 exiting %------------------------------------------------------------------------------