%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO494+1 : TPTP v9.2.1. Released v7.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:17:18 AM UTC 2026 % Result : Theorem 2.22s 2.43s % Output : Proof 2.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO494+1 : TPTP v9.2.1. Released v7.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n002.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Mon Jun 1 23:56:03 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 2.22/2.43 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.22/2.43 % SZS status Theorem % 2.22/2.43 % SZS output start Proof % 2.22/2.43 ( % 2.22/2.43 (declare-sort $$unsorted 0) % 2.22/2.43 (declare-const tptp.le (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 2.22/2.43 (declare-const tptp.s_fs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 2.22/2.43 (declare-const tptp.s_e (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 2.22/2.43 (declare-const tptp.ins (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.22/2.43 (declare-const tptp.ext (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.22/2.43 (declare-const tptp.insert (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.22/2.43 (declare-const tptp.s_t (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.22/2.43 (declare-const tptp.beta $$unsorted) % 2.22/2.43 (declare-const tptp.s_ifs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 2.22/2.43 (declare-const tptp.s_e3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 2.22/2.43 (declare-const tptp.s_col (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.22/2.43 (declare-const tptp.ip (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.22/2.43 (declare-const tptp.alpha $$unsorted) % 2.22/2.43 (declare-const tptp.s_afs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 2.22/2.43 (declare-const tptp.crossbar (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.22/2.43 (declare-const tptp.insert5 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.22/2.43 (declare-const tptp.gamma $$unsorted) % 2.22/2.43 (define @t1 () (@var "X" $$unsorted)) % 2.22/2.43 (define @t2 () (@var "Y" $$unsorted)) % 2.22/2.43 (define @t3 () (@list @t1 @t2)) % 2.22/2.43 (define @t4 () (@var "V2" $$unsorted)) % 2.22/2.43 (define @t5 () (@var "Z2" $$unsorted)) % 2.22/2.43 (define @t6 () (@var "V" $$unsorted)) % 2.22/2.43 (define @t7 () (@var "Z" $$unsorted)) % 2.22/2.43 (define @t8 () (= @t1 @t2)) % 2.22/2.43 (define @t9 () (@var "W" $$unsorted)) % 2.22/2.43 (define @t10 () (tptp.ext @t1 @t2 @t9 @t6)) % 2.22/2.43 (define @t11 () (@var "V1" $$unsorted)) % 2.22/2.43 (define @t12 () (@var "Z1" $$unsorted)) % 2.22/2.43 (define @t13 () (@var "Y1" $$unsorted)) % 2.22/2.43 (define @t14 () (@var "X1" $$unsorted)) % 2.22/2.43 (define @t15 () (@var "Xa" $$unsorted)) % 2.22/2.43 (define @t16 () (@var "Xq" $$unsorted)) % 2.22/2.43 (define @t17 () (@var "Xb" $$unsorted)) % 2.22/2.43 (define @t18 () (@var "Xc" $$unsorted)) % 2.22/2.43 (define @t19 () (@var "Xp" $$unsorted)) % 2.22/2.43 (define @t20 () (tptp.ip @t15 @t19 @t18 @t17 @t16)) % 2.22/2.43 (define @t21 () (not (tptp.s_t @t17 @t16 @t18))) % 2.22/2.43 (define @t22 () (not (tptp.s_t @t15 @t19 @t18))) % 2.22/2.43 (define @t23 () (@list @t15 @t17)) % 2.22/2.43 (define @t24 () (@var "Xd" $$unsorted)) % 2.22/2.43 (define @t25 () (not (tptp.s_e @t15 @t17 @t18 @t24))) % 2.22/2.43 (define @t26 () (@list @t15 @t17 @t18 @t24)) % 2.22/2.43 (define @t27 () (@var "Xf" $$unsorted)) % 2.22/2.43 (define @t28 () (@var "Xe" $$unsorted)) % 2.22/2.43 (define @t29 () (@list @t15 @t17 @t18 @t24 @t28 @t27)) % 2.22/2.43 (define @t30 () (@var "Xc1" $$unsorted)) % 2.22/2.43 (define @t31 () (@var "Xa1" $$unsorted)) % 2.22/2.43 (define @t32 () (tptp.s_e @t15 @t18 @t31 @t30)) % 2.22/2.43 (define @t33 () (@var "Xb1" $$unsorted)) % 2.22/2.43 (define @t34 () (not (tptp.s_e @t17 @t18 @t33 @t30))) % 2.22/2.43 (define @t35 () (tptp.s_e @t15 @t17 @t31 @t33)) % 2.22/2.43 (define @t36 () (not @t35)) % 2.22/2.43 (define @t37 () (tptp.s_t @t31 @t33 @t30)) % 2.22/2.43 (define @t38 () (not @t37)) % 2.22/2.43 (define @t39 () (tptp.s_t @t15 @t17 @t18)) % 2.22/2.43 (define @t40 () (not @t39)) % 2.22/2.43 (define @t41 () (@list @t15 @t17 @t18 @t31 @t33 @t30)) % 2.22/2.43 (define @t42 () (= @t17 @t18)) % 2.22/2.43 (define @t43 () (@var "XC" $$unsorted)) % 2.22/2.43 (define @t44 () (@var "XA" $$unsorted)) % 2.22/2.43 (define @t45 () (@var "XB" $$unsorted)) % 2.22/2.43 (define @t46 () (@list @t15 @t17 @t18)) % 2.22/2.43 (define @t47 () (= @t15 @t17)) % 2.22/2.43 (define @t48 () (tptp.s_t @t17 @t18 @t24)) % 2.22/2.43 (define @t49 () (not @t48)) % 2.22/2.43 (define @t50 () (tptp.s_t @t15 @t17 @t24)) % 2.22/2.43 (define @t51 () (not @t50)) % 2.22/2.43 (define @t52 () (@list @t15 @t17 @t24 @t18)) % 2.22/2.43 (define @t53 () (tptp.s_t @t15 @t18 @t24)) % 2.22/2.43 (define @t54 () (not @t53)) % 2.22/2.43 (define @t55 () (tptp.ext @t15 @t17 tptp.alpha tptp.gamma)) % 2.22/2.43 (define @t56 () (tptp.crossbar @t15 @t17 @t18 @t31 @t33 @t19)) % 2.22/2.43 (define @t57 () (not (tptp.s_t @t15 @t19 @t31))) % 2.22/2.43 (define @t58 () (not (tptp.s_t @t31 @t33 @t18))) % 2.22/2.43 (define @t59 () (@var "Xd1" $$unsorted)) % 2.22/2.43 (define @t60 () (tptp.s_e @t17 @t24 @t33 @t59)) % 2.22/2.43 (define @t61 () (@list @t15 @t17 @t18 @t24 @t31 @t33 @t30 @t59)) % 2.22/2.43 (define @t62 () (not @t32)) % 2.22/2.43 (define @t63 () (tptp.insert @t15 @t17 @t31 @t30)) % 2.22/2.43 (define @t64 () (tptp.s_e3 @t15 @t17 @t18 @t31 @t33 @t30)) % 2.22/2.43 (define @t65 () (not @t64)) % 2.22/2.43 (define @t66 () (tptp.s_col @t15 @t17 @t18)) % 2.22/2.43 (define @t67 () (not @t66)) % 2.22/2.43 (define @t68 () (tptp.s_e @t18 @t24 @t30 @t59)) % 2.22/2.43 (define @t69 () (tptp.s_fs @t15 @t17 @t18 @t24 @t31 @t33 @t30 @t59)) % 2.22/2.43 (define @t70 () (not @t69)) % 2.22/2.43 (define @t71 () (= @t18 @t30)) % 2.22/2.43 (define @t72 () (not (tptp.s_e @t17 @t18 @t17 @t30))) % 2.22/2.43 (define @t73 () (not (tptp.s_e @t15 @t18 @t15 @t30))) % 2.22/2.43 (define @t74 () (tptp.s_t @t15 @t18 @t17)) % 2.22/2.43 (define @t75 () (tptp.insert @t15 @t17 @t18 @t24)) % 2.22/2.43 (define @t76 () (tptp.ins @t18 @t24 @t15 @t17)) % 2.22/2.43 (define @t77 () (tptp.le @t15 @t17 @t18 @t24)) % 2.22/2.43 (define @t78 () (not @t77)) % 2.22/2.43 (define @t79 () (or @t78 (= @t76 (tptp.ext @t15 @t17 @t75 @t24)))) % 2.22/2.43 (define @t80 () (or @t78 (tptp.s_e @t15 @t76 @t18 @t24))) % 2.22/2.43 (define @t81 () (or @t78 (tptp.s_t @t15 @t17 @t76))) % 2.22/2.43 (define @t82 () (forall @t26 (and @t81 @t80 @t79))) % 2.22/2.43 (define @t83 () (forall (@list @t15 @t17 @t18 @t24 @t28) (or @t77 (not (tptp.s_t @t15 @t17 @t28)) (not (tptp.s_e @t15 @t28 @t18 @t24))))) % 2.22/2.43 (define @t84 () (forall @t29 (or @t78 (not (tptp.le @t18 @t24 @t28 @t27)) (tptp.le @t15 @t17 @t28 @t27)))) % 2.22/2.43 (define @t85 () (@var "Zd" $$unsorted)) % 2.22/2.43 (define @t86 () (@var "Zc" $$unsorted)) % 2.22/2.43 (define @t87 () (@var "Zb" $$unsorted)) % 2.22/2.43 (define @t88 () (@var "Za" $$unsorted)) % 2.22/2.43 (define @t89 () (tptp.s_afs @t15 @t17 @t18 @t24 @t88 @t87 @t86 @t85)) % 2.22/2.43 (define @t90 () (tptp.s_e @t17 @t24 @t87 @t85)) % 2.22/2.43 (define @t91 () (tptp.s_e @t15 @t24 @t88 @t85)) % 2.22/2.43 (define @t92 () (not @t91)) % 2.22/2.43 (define @t93 () (tptp.s_e @t17 @t18 @t87 @t86)) % 2.22/2.43 (define @t94 () (not @t93)) % 2.22/2.43 (define @t95 () (tptp.s_e @t15 @t17 @t88 @t87)) % 2.22/2.43 (define @t96 () (tptp.s_t @t88 @t87 @t86)) % 2.22/2.43 (define @t97 () (not @t96)) % 2.22/2.43 (define @t98 () (not @t89)) % 2.22/2.43 (define @t99 () (@list @t15 @t17 @t18 @t24 @t88 @t87 @t86 @t85)) % 2.22/2.43 (define @t100 () (tptp.s_ifs @t15 @t17 @t18 @t24 @t88 @t87 @t86 @t85)) % 2.22/2.43 (define @t101 () (tptp.s_e @t18 @t24 @t86 @t85)) % 2.22/2.43 (define @t102 () (tptp.s_e @t15 @t18 @t88 @t86)) % 2.22/2.43 (define @t103 () (not @t100)) % 2.22/2.43 (define @t104 () (@var "Xb3" $$unsorted)) % 2.22/2.43 (define @t105 () (@var "Xb2" $$unsorted)) % 2.22/2.43 (define @t106 () (@var "Xa3" $$unsorted)) % 2.22/2.43 (define @t107 () (@var "Xa2" $$unsorted)) % 2.22/2.43 (define @t108 () (tptp.s_e3 @t31 @t107 @t106 @t33 @t105 @t104)) % 2.22/2.43 (define @t109 () (tptp.s_e @t107 @t106 @t105 @t104)) % 2.22/2.43 (define @t110 () (tptp.s_e @t31 @t106 @t33 @t104)) % 2.22/2.43 (define @t111 () (tptp.s_e @t31 @t107 @t33 @t105)) % 2.22/2.43 (define @t112 () (not @t108)) % 2.22/2.43 (define @t113 () (tptp.s_t @t18 @t15 @t17)) % 2.22/2.43 (define @t114 () (tptp.s_t @t17 @t18 @t15)) % 2.22/2.43 (define @t115 () (tptp.s_e @t15 @t24 @t31 @t59)) % 2.22/2.43 (define @t116 () (or (not (tptp.s_t @t18 @t2 @t24)) (not (tptp.s_e @t15 @t17 @t18 @t2)) @t77)) % 2.22/2.43 (define @t117 () (or @t78 (tptp.s_e @t15 @t17 @t18 @t75))) % 2.22/2.43 (define @t118 () (or @t78 (tptp.s_t @t18 @t75 @t24))) % 2.22/2.43 (define @t119 () (@list @t15 @t17 @t18 @t24 @t2)) % 2.22/2.43 (define @t120 () (forall @t119 (and @t118 @t117 @t116))) % 2.22/2.43 (define @t121 () (@quantifiers_skolemize @t84 5)) % 2.22/2.43 (define @t122 () (@quantifiers_skolemize @t84 4)) % 2.22/2.43 (define @t123 () (@quantifiers_skolemize @t84 1)) % 2.22/2.43 (define @t124 () (@quantifiers_skolemize @t84 0)) % 2.22/2.43 (define @t125 () (@quantifiers_skolemize @t84 3)) % 2.22/2.43 (define @t126 () (@quantifiers_skolemize @t84 2)) % 2.22/2.43 (define @t127 () (tptp.insert @t124 @t123 @t126 @t125)) % 2.22/2.43 (define @t128 () (@var "BOUND_VARIABLE_8695" $$unsorted)) % 2.22/2.43 (define @t129 () (@var "BOUND_VARIABLE_8693" $$unsorted)) % 2.22/2.43 (define @t130 () (@var "BOUND_VARIABLE_8691" $$unsorted)) % 2.22/2.43 (define @t131 () (@var "BOUND_VARIABLE_8689" $$unsorted)) % 2.22/2.43 (define @t132 () (@var "BOUND_VARIABLE_8697" $$unsorted)) % 2.22/2.43 (define @t133 () (forall (@list @t131 @t130 @t129 @t128 @t132) (or (not (tptp.s_t @t129 @t132 @t128)) (not (tptp.s_e @t131 @t130 @t129 @t132)) (tptp.le @t131 @t130 @t129 @t128)))) % 2.22/2.43 (define @t134 () (@var "BOUND_VARIABLE_8678" $$unsorted)) % 2.22/2.43 (define @t135 () (@var "BOUND_VARIABLE_8676" $$unsorted)) % 2.22/2.43 (define @t136 () (@var "BOUND_VARIABLE_8674" $$unsorted)) % 2.22/2.43 (define @t137 () (@var "BOUND_VARIABLE_8672" $$unsorted)) % 2.22/2.43 (define @t138 () (or (not (tptp.le @t137 @t136 @t135 @t134)) (tptp.s_e @t137 @t136 @t135 (tptp.insert @t137 @t136 @t135 @t134)))) % 2.22/2.43 (define @t139 () (@var "BOUND_VARIABLE_8680" $$unsorted)) % 2.22/2.43 (define @t140 () (forall (@list @t137 @t136 @t135 @t134 @t139) @t138)) % 2.22/2.43 (define @t141 () (@var "BOUND_VARIABLE_8661" $$unsorted)) % 2.22/2.43 (define @t142 () (@var "BOUND_VARIABLE_8659" $$unsorted)) % 2.22/2.43 (define @t143 () (@var "BOUND_VARIABLE_8657" $$unsorted)) % 2.22/2.43 (define @t144 () (@var "BOUND_VARIABLE_8655" $$unsorted)) % 2.22/2.43 (define @t145 () (or (not (tptp.le @t144 @t143 @t142 @t141)) (tptp.s_t @t142 (tptp.insert @t144 @t143 @t142 @t141) @t141))) % 2.22/2.43 (define @t146 () (@var "BOUND_VARIABLE_8663" $$unsorted)) % 2.22/2.43 (define @t147 () (forall (@list @t144 @t143 @t142 @t141 @t146) @t145)) % 2.22/2.43 (define @t148 () (forall @t119 @t116)) % 2.22/2.43 (define @t149 () (@list @t15 @t17 @t18 @t24 @t2)) % 2.22/2.43 (define @t150 () (forall @t119 @t117)) % 2.22/2.43 (define @t151 () (forall @t119 @t118)) % 2.22/2.43 (define @t152 () (and @t151 @t150 @t148)) % 2.22/2.43 (define @t153 () (@list @t124 @t123 @t126 @t125)) % 2.22/2.43 (define @t154 () (tptp.le @t124 @t123 @t126 @t125)) % 2.22/2.43 (define @t155 () (tptp.le @t124 @t123 @t122 @t121)) % 2.22/2.43 (define @t156 () (tptp.le @t126 @t125 @t122 @t121)) % 2.22/2.43 (define @t157 () (not @t156)) % 2.22/2.43 (define @t158 () (not @t154)) % 2.22/2.43 (define @t159 () (or @t158 @t157 @t155)) % 2.22/2.43 (define @t160 () (@list true)) % 2.22/2.43 (define @t161 () (@list @t159)) % 2.22/2.43 (define @t162 () (tptp.s_e @t124 @t123 @t126 @t127)) % 2.22/2.43 (define @t163 () (or @t158 @t162)) % 2.22/2.43 (define @t164 () (@list false false)) % 2.22/2.43 (define @t165 () (tptp.s_e @t126 @t127 @t124 @t123)) % 2.22/2.43 (define @t166 () (not @t162)) % 2.22/2.43 (define @t167 () (or @t166 @t165)) % 2.22/2.43 (define @t168 () (tptp.ins @t122 @t121 @t126 @t125)) % 2.22/2.43 (define @t169 () (forall @t26 @t79)) % 2.22/2.43 (define @t170 () (@list @t15 @t17 @t18 @t24)) % 2.22/2.43 (define @t171 () (forall @t26 @t80)) % 2.22/2.43 (define @t172 () (forall @t26 @t81)) % 2.22/2.43 (define @t173 () (and @t172 @t171 @t169)) % 2.22/2.43 (define @t174 () (@list @t126 @t125 @t122 @t121)) % 2.22/2.43 (define @t175 () (tptp.s_e @t126 @t168 @t122 @t121)) % 2.22/2.43 (define @t176 () (or @t157 @t175)) % 2.22/2.43 (define @t177 () (tptp.s_e @t122 @t121 @t122 @t121)) % 2.22/2.43 (define @t178 () (not @t175)) % 2.22/2.43 (define @t179 () (or @t178 @t178 @t177)) % 2.22/2.43 (define @t180 () (not @t177)) % 2.22/2.43 (define @t181 () (not @t165)) % 2.22/2.43 (define @t182 () (tptp.le @t126 @t127 @t122 @t121)) % 2.22/2.43 (define @t183 () (not @t182)) % 2.22/2.43 (define @t184 () (or @t183 @t181 @t180 @t155)) % 2.22/2.43 (define @t185 () (tptp.s_t @t126 @t127 @t125)) % 2.22/2.43 (define @t186 () (or @t158 @t185)) % 2.22/2.43 (define @t187 () (tptp.s_t @t126 @t125 @t168)) % 2.22/2.43 (define @t188 () (or @t157 @t187)) % 2.22/2.43 (define @t189 () (tptp.s_t @t126 @t127 @t168)) % 2.22/2.43 (define @t190 () (not @t187)) % 2.22/2.43 (define @t191 () (not @t185)) % 2.22/2.43 (define @t192 () (or @t191 @t190 @t189)) % 2.22/2.43 (define @t193 () (not @t189)) % 2.22/2.43 (define @t194 () (or @t182 @t193 @t178)) % 2.22/2.43 (define @t195 () (not @t194)) % 2.22/2.43 (assume @p1 (forall @t3 (tptp.s_e @t1 @t2 @t2 @t1))) % 2.22/2.43 (assume @p2 (forall (@list @t1 @t2 @t7 @t6 @t5 @t4) (or (not (tptp.s_e @t1 @t2 @t7 @t6)) (not (tptp.s_e @t1 @t2 @t5 @t4)) (tptp.s_e @t7 @t6 @t5 @t4)))) % 2.22/2.43 (assume @p3 (forall (@list @t1 @t2 @t7) (or (not (tptp.s_e @t1 @t2 @t7 @t7)) @t8))) % 2.22/2.43 (assume @p4 (forall (@list @t1 @t2 @t9 @t6) (and (tptp.s_t @t1 @t2 @t10) (tptp.s_e @t2 @t10 @t9 @t6)))) % 2.22/2.43 (assume @p5 (forall (@list @t1 @t2 @t14 @t13 @t7 @t12 @t6 @t11) (or (not (tptp.s_e @t1 @t2 @t14 @t13)) (not (tptp.s_e @t2 @t7 @t13 @t12)) (not (tptp.s_e @t1 @t6 @t14 @t11)) (not (tptp.s_e @t2 @t6 @t13 @t11)) (not (tptp.s_t @t1 @t2 @t7)) (not (tptp.s_t @t14 @t13 @t12)) @t8 (tptp.s_e @t7 @t6 @t12 @t11)))) % 2.22/2.43 (assume @p6 (forall @t3 (or (not (tptp.s_t @t1 @t2 @t1)) @t8))) % 2.22/2.43 (assume @p7 (forall (@list @t15 @t19 @t18 @t17 @t16) (and (or @t22 @t21 (tptp.s_t @t19 @t20 @t17)) (or @t22 @t21 (tptp.s_t @t16 @t20 @t15))))) % 2.22/2.43 (assume @p8 (and (not (tptp.s_t tptp.alpha tptp.beta tptp.gamma)) (not (tptp.s_t tptp.beta tptp.gamma tptp.alpha)) (not (tptp.s_t tptp.gamma tptp.alpha tptp.beta)))) % 2.22/2.43 (assume @p9 (forall @t23 (tptp.s_e @t15 @t17 @t15 @t17))) % 2.22/2.43 (assume @p10 (forall @t26 (or @t25 (tptp.s_e @t18 @t24 @t15 @t17)))) % 2.22/2.43 (assume @p11 (forall @t29 (or @t25 (not (tptp.s_e @t18 @t24 @t28 @t27)) (tptp.s_e @t15 @t17 @t28 @t27)))) % 2.22/2.43 (assume @p12 (forall @t26 (or @t25 (tptp.s_e @t17 @t15 @t18 @t24)))) % 2.22/2.43 (assume @p13 (forall @t26 (or @t25 (tptp.s_e @t15 @t17 @t24 @t18)))) % 2.22/2.43 (assume @p14 (forall @t23 (tptp.s_e @t15 @t15 @t17 @t17))) % 2.22/2.43 (assume @p15 (forall @t41 (or @t40 @t38 @t36 @t34 @t32))) % 2.22/2.43 (assume @p16 (forall (@list @t16 @t15 @t24 @t17 @t18) (or (= @t16 @t15) (not (tptp.s_t @t16 @t15 @t24)) (not (tptp.s_e @t15 @t24 @t17 @t18)) (= @t24 (tptp.ext @t16 @t15 @t17 @t18))))) % 2.22/2.43 (assume @p17 (forall (@list @t17 @t18 @t15) (or (not (tptp.s_e @t17 @t18 @t15 @t15)) @t42))) % 2.22/2.43 (assume @p18 (forall @t26 (or @t25 (tptp.s_e @t17 @t15 @t24 @t18)))) % 2.22/2.43 (assume @p19 (forall (@list @t15 @t17 @t18 @t44 @t45 @t43) (or @t40 (not (tptp.s_t @t44 @t45 @t43)) (not (tptp.s_e @t15 @t17 @t45 @t43)) (not (tptp.s_e @t17 @t18 @t44 @t45)) (tptp.s_e @t15 @t18 @t44 @t43)))) % 2.22/2.43 (assume @p20 (forall @t23 (tptp.s_t @t15 @t17 @t17))) % 2.22/2.43 (assume @p21 (forall @t46 (or @t40 (tptp.s_t @t18 @t17 @t15)))) % 2.22/2.43 (assume @p22 (forall (@list @t31 @t33) (tptp.s_t @t31 @t31 @t33))) % 2.22/2.43 (assume @p23 (forall @t46 (or @t40 (not (tptp.s_t @t17 @t15 @t18)) @t47))) % 2.22/2.43 (assume @p24 (forall @t52 (or @t51 @t49 @t39))) % 2.22/2.43 (assume @p25 (forall @t26 (or @t40 @t54 @t48))) % 2.22/2.43 (assume @p26 (forall @t26 (or @t40 @t49 @t42 @t53))) % 2.22/2.43 (assume @p27 (forall @t52 (or @t51 @t49 @t53))) % 2.22/2.43 (assume @p28 (forall @t26 (or @t40 @t54 @t50))) % 2.22/2.43 (assume @p29 (forall @t26 (or @t40 @t49 @t42 @t50))) % 2.22/2.43 (assume @p30 (not (= tptp.alpha tptp.beta))) % 2.22/2.43 (assume @p31 (not (= tptp.beta tptp.gamma))) % 2.22/2.43 (assume @p32 (not (= tptp.alpha tptp.gamma))) % 2.22/2.43 (assume @p33 (forall @t23 (tptp.s_t @t15 @t17 @t55))) % 2.22/2.43 (assume @p34 (forall (@list @t17 @t15) (not (= @t17 @t55)))) % 2.22/2.43 (assume @p35 (forall (@list @t15 @t17 @t18 @t31 @t33 @t19) (and (or @t40 @t58 @t57 (tptp.s_t @t19 @t56 @t18)) (or @t40 @t58 @t57 (tptp.s_t @t17 @t56 @t33))))) % 2.22/2.43 (assume @p36 (forall @t61 (or (not (tptp.s_ifs @t15 @t17 @t18 @t24 @t31 @t33 @t30 @t59)) @t60))) % 2.22/2.43 (assume @p37 (forall @t41 (or @t40 @t38 @t62 @t34 @t35))) % 2.22/2.43 (assume @p38 (forall (@list @t15 @t17 @t18 @t31 @t30) (and (or @t40 @t62 (tptp.s_t @t31 @t63 @t30)) (or @t40 @t62 (tptp.s_e3 @t15 @t17 @t18 @t31 @t63 @t30))))) % 2.22/2.43 (assume @p39 (forall @t41 (or @t40 @t65 @t37))) % 2.22/2.43 (assume @p40 (forall @t46 (or @t67 (tptp.s_col @t17 @t18 @t15)))) % 2.22/2.43 (assume @p41 (forall @t46 (or @t67 (tptp.s_col @t18 @t15 @t17)))) % 2.22/2.43 (assume @p42 (forall @t46 (or @t67 (tptp.s_col @t18 @t17 @t15)))) % 2.22/2.43 (assume @p43 (forall @t46 (or @t67 (tptp.s_col @t17 @t15 @t18)))) % 2.22/2.43 (assume @p44 (forall @t46 (or @t67 (tptp.s_col @t15 @t18 @t17)))) % 2.22/2.43 (assume @p45 (forall @t23 (tptp.s_col @t15 @t15 @t17))) % 2.22/2.43 (assume @p46 (forall @t23 (tptp.s_col @t15 @t17 @t15))) % 2.22/2.43 (assume @p47 (forall @t41 (or @t67 @t65 (tptp.s_col @t31 @t33 @t30)))) % 2.22/2.43 (assume @p48 (forall (@list @t15 @t17 @t18 @t31 @t33) (or @t67 @t36 (tptp.s_e3 @t15 @t17 @t18 @t31 @t33 (tptp.insert5 @t15 @t17 @t18 @t31 @t33))))) % 2.22/2.43 (assume @p49 (forall @t61 (or @t70 @t47 @t68))) % 2.22/2.43 (assume @p50 (forall (@list @t15 @t17 @t18 @t19 @t16) (or @t47 @t67 (not (tptp.s_e @t15 @t19 @t15 @t16)) (not (tptp.s_e @t17 @t19 @t17 @t16)) (tptp.s_e @t18 @t19 @t18 @t16)))) % 2.22/2.43 (assume @p51 (forall (@list @t15 @t17 @t18 @t30) (or @t47 @t67 @t73 @t72 @t71))) % 2.22/2.43 (assume @p52 (forall (@list @t15 @t18 @t17 @t30) (or (not @t74) @t73 @t72 @t71))) % 2.22/2.43 (assume @p53 (forall @t26 (or @t47 @t40 @t51 @t53 (tptp.s_t @t15 @t24 @t18)))) % 2.22/2.43 (assume @p54 (forall @t26 (or @t47 @t40 @t51 @t48 (tptp.s_t @t17 @t24 @t18)))) % 2.22/2.43 (assume @p55 (forall @t52 (or @t51 @t54 @t39 @t74))) % 2.22/2.43 (assume @p56 @t82) % 2.22/2.43 (assume @p57 @t83) % 2.22/2.43 (assume @p58 (forall @t61 (or @t78 @t36 (not @t68) (tptp.le @t31 @t33 @t30 @t59)))) % 2.22/2.43 (assume @p59 (forall @t23 (tptp.le @t15 @t17 @t15 @t17))) % 2.22/2.43 (assume @p60 (not @t84)) % 2.22/2.43 (assume @p61 (forall (@list @t15 @t17 @t31 @t30) (= @t63 (tptp.ext (tptp.ext @t30 @t31 tptp.alpha tptp.gamma) @t31 @t15 @t17)))) % 2.22/2.43 (assume @p62 (forall @t99 (and (or @t98 @t39) (or @t98 @t96) (or @t98 @t95) (or @t98 @t93) (or @t98 @t91) (or @t98 @t90) (or @t40 @t97 (not @t95) @t94 @t92 (not @t90) @t89)))) % 2.22/2.43 (assume @p63 (forall @t99 (and (or @t103 @t39) (or @t103 @t96) (or @t103 @t102) (or @t103 @t93) (or @t103 @t91) (or @t103 @t101) (or @t40 @t97 (not @t102) @t94 @t92 (not @t101) @t100)))) % 2.22/2.43 (assume @p64 (forall (@list @t31 @t107 @t106 @t33 @t105 @t104) (and (or @t112 @t111) (or @t112 @t110) (or @t112 @t109) (or (not @t111) (not @t110) (not @t109) @t108)))) % 2.22/2.43 (assume @p65 (forall @t46 (and (or @t67 @t39 @t114 @t113) (or @t66 @t40) (or @t66 (not @t114)) (or @t66 (not @t113))))) % 2.22/2.43 (assume @p66 (forall @t61 (and (or @t70 @t66) (or @t70 @t64) (or @t70 @t115) (or @t70 @t60) (or @t67 @t65 (not @t115) (not @t60) @t69)))) % 2.22/2.43 (assume @p67 @t120) % 2.22/2.43 (assume @p68 true) % 2.22/2.43 (step @p69 :rule instantiate :premises (@p58) :args ((@list @t126 @t127 @t122 @t121 @t124 @t123 @t122 @t121))) % 2.22/2.43 (step @p70 :rule instantiate :premises (@p10) :args ((@list @t124 @t123 @t126 @t127))) % 2.22/2.43 (step @p71 :rule refl :args (@t133)) % 2.22/2.43 (step @p72 :rule quant-unused-vars :args ((= @t140 (forall (@list @t137 @t136 @t135 @t134) @t138)))) % 2.22/2.43 (step @p73 :rule quant-unused-vars :args ((= @t147 (forall (@list @t144 @t143 @t142 @t141) @t145)))) % 2.22/2.43 (step @p74 :rule nary_cong :premises (@p73 @p72 @p71) :args ((and @t147 @t140 @t133))) % 2.22/2.43 (step @p75 :rule alpha_equiv :args (@t148 @t149 (@list @t131 @t130 @t129 @t128 @t132))) % 2.22/2.43 (step @p76 :rule alpha_equiv :args (@t150 @t149 (@list @t137 @t136 @t135 @t134 @t139))) % 2.22/2.43 (step @p77 :rule alpha_equiv :args (@t151 @t149 (@list @t144 @t143 @t142 @t141 @t146))) % 2.22/2.43 (step @p78 :rule nary_cong :premises (@p77 @p76 @p75) :args (@t152)) % 2.22/2.43 (step @p79 :rule quant-miniscope-and :args ((= @t120 @t152))) % 2.22/2.43 (step @p80 :rule trans :premises (@p79 @p78)) % 2.22/2.43 (step @p81 :rule trans :premises (@p80 @p74)) % 2.22/2.43 (step @p82 :rule eq_resolve :premises (@p67 @p81)) % 2.22/2.43 (step @p83 :rule and_elim :premises (@p82) :args (1)) % 2.22/2.43 (step @p84 :rule instantiate :premises (@p83) :args (@t153)) % 2.22/2.43 (step @p85 :rule skolemize :premises (@p60)) % 2.22/2.43 (step @p86 :rule bool-double-not-elim :args (@t154)) % 2.22/2.43 (step @p87 :rule refl :args (@t159)) % 2.22/2.43 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or @t159 (not @t158)))) % 2.22/2.43 (step @p89 :rule cnf_or_neg :args (@t159 0)) % 2.22/2.43 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 2.22/2.43 (step @p91 :rule reordering :premises (@p90) :args ((or @t154 @t159))) % 2.22/2.43 (step @p92 :rule chain_m_resolution :premises (@p91 @p85) :args (@t154 @t160 @t161)) % 2.22/2.43 (step @p93 :rule cnf_or_pos :args (@t163)) % 2.22/2.43 (step @p94 :rule reordering :premises (@p93) :args ((or @t158 @t162 (not @t163)))) % 2.22/2.43 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p84) :args (@t162 @t164 (@list @t154 @t163))) % 2.22/2.43 (step @p96 :rule cnf_or_pos :args (@t167)) % 2.22/2.43 (step @p97 :rule reordering :premises (@p96) :args ((or @t166 @t165 (not @t167)))) % 2.22/2.43 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p70) :args (@t165 @t164 (@list @t162 @t167))) % 2.22/2.43 (step @p99 :rule instantiate :premises (@p2) :args ((@list @t126 @t168 @t122 @t121 @t122 @t121))) % 2.22/2.43 (step @p100 :rule alpha_equiv :args (@t169 @t170 (@list (@var "BOUND_VARIABLE_8052" $$unsorted) (@var "BOUND_VARIABLE_8054" $$unsorted) (@var "BOUND_VARIABLE_8056" $$unsorted) (@var "BOUND_VARIABLE_8058" $$unsorted)))) % 2.22/2.43 (step @p101 :rule alpha_equiv :args (@t171 @t170 (@list (@var "BOUND_VARIABLE_8037" $$unsorted) (@var "BOUND_VARIABLE_8039" $$unsorted) (@var "BOUND_VARIABLE_8041" $$unsorted) (@var "BOUND_VARIABLE_8043" $$unsorted)))) % 2.22/2.43 (step @p102 :rule alpha_equiv :args (@t172 @t170 (@list (@var "BOUND_VARIABLE_8022" $$unsorted) (@var "BOUND_VARIABLE_8024" $$unsorted) (@var "BOUND_VARIABLE_8026" $$unsorted) (@var "BOUND_VARIABLE_8028" $$unsorted)))) % 2.22/2.43 (step @p103 :rule nary_cong :premises (@p102 @p101 @p100) :args (@t173)) % 2.22/2.43 (step @p104 :rule quant-miniscope-and :args ((= @t82 @t173))) % 2.22/2.43 (step @p105 :rule trans :premises (@p104 @p103)) % 2.22/2.43 (step @p106 :rule eq_resolve :premises (@p56 @p105)) % 2.22/2.43 (step @p107 :rule and_elim :premises (@p106) :args (1)) % 2.22/2.43 (step @p108 :rule instantiate :premises (@p107) :args (@t174)) % 2.22/2.43 (step @p109 :rule bool-double-not-elim :args (@t156)) % 2.22/2.43 (step @p110 :rule nary_cong :premises (@p87 @p109) :args ((or @t159 (not @t157)))) % 2.22/2.43 (step @p111 :rule cnf_or_neg :args (@t159 1)) % 2.22/2.43 (step @p112 :rule eq_resolve :premises (@p111 @p110)) % 2.22/2.43 (step @p113 :rule reordering :premises (@p112) :args ((or @t156 @t159))) % 2.22/2.43 (step @p114 :rule chain_m_resolution :premises (@p113 @p85) :args (@t156 @t160 @t161)) % 2.22/2.43 (step @p115 :rule cnf_or_pos :args (@t176)) % 2.22/2.43 (step @p116 :rule reordering :premises (@p115) :args ((or @t157 @t175 (not @t176)))) % 2.22/2.43 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p108) :args (@t175 @t164 (@list @t156 @t176))) % 2.22/2.44 (step @p118 :rule cnf_or_pos :args (@t179)) % 2.22/2.44 (step @p119 :rule factoring :premises (@p118)) % 2.22/2.44 (step @p120 :rule reordering :premises (@p119) :args ((or @t178 @t177 (not @t179)))) % 2.22/2.44 (step @p121 :rule chain_m_resolution :premises (@p120 @p117 @p99) :args (@t177 @t164 (@list @t175 @t179))) % 2.22/2.44 (step @p122 :rule cnf_or_neg :args (@t159 2)) % 2.22/2.44 (step @p123 :rule chain_m_resolution :premises (@p122 @p85) :args ((not @t155) @t160 @t161)) % 2.22/2.44 (step @p124 :rule cnf_or_pos :args (@t184)) % 2.22/2.44 (step @p125 :rule reordering :premises (@p124) :args ((or @t155 @t180 @t181 @t183 (not @t184)))) % 2.22/2.44 (step @p126 :rule chain_m_resolution :premises (@p125 @p123 @p121 @p98 @p69) :args (@t183 (@list true false false false) (@list @t155 @t177 @t165 @t184))) % 2.22/2.44 (step @p127 :rule instantiate :premises (@p28) :args ((@list @t126 @t127 @t125 @t168))) % 2.22/2.44 (step @p128 :rule and_elim :premises (@p82) :args (0)) % 2.22/2.44 (step @p129 :rule instantiate :premises (@p128) :args (@t153)) % 2.22/2.44 (step @p130 :rule cnf_or_pos :args (@t186)) % 2.22/2.44 (step @p131 :rule reordering :premises (@p130) :args ((or @t158 @t185 (not @t186)))) % 2.22/2.44 (step @p132 :rule chain_m_resolution :premises (@p131 @p92 @p129) :args (@t185 @t164 (@list @t154 @t186))) % 2.22/2.44 (step @p133 :rule and_elim :premises (@p106) :args (0)) % 2.22/2.44 (step @p134 :rule instantiate :premises (@p133) :args (@t174)) % 2.22/2.44 (step @p135 :rule cnf_or_pos :args (@t188)) % 2.22/2.44 (step @p136 :rule reordering :premises (@p135) :args ((or @t157 @t187 (not @t188)))) % 2.22/2.44 (step @p137 :rule chain_m_resolution :premises (@p136 @p114 @p134) :args (@t187 @t164 (@list @t156 @t188))) % 2.22/2.44 (step @p138 :rule cnf_or_pos :args (@t192)) % 2.22/2.44 (step @p139 :rule reordering :premises (@p138) :args ((or @t190 @t191 @t189 (not @t192)))) % 2.22/2.44 (step @p140 :rule chain_m_resolution :premises (@p139 @p137 @p132 @p127) :args (@t189 (@list false false false) (@list @t187 @t185 @t192))) % 2.22/2.44 (step @p141 :rule cnf_or_pos :args (@t194)) % 2.22/2.44 (step @p142 :rule reordering :premises (@p141) :args ((or @t178 @t193 @t182 @t195))) % 2.22/2.44 (step @p143 :rule chain_m_resolution :premises (@p142 @p117 @p140 @p126) :args (@t195 (@list false false true) (@list @t175 @t189 @t182))) % 2.22/2.44 (assume-push @p150 @t83) % 2.22/2.44 (step @p145 :rule instantiate :premises (@p57) :args ((@list @t126 @t127 @t122 @t121 @t168))) % 2.22/2.44 (step-pop @p151 :rule scope :premises (@p145)) % 2.22/2.44 (step @p146 :rule process_scope :premises (@p151) :args (@t194)) % 2.22/2.44 (step @p148 :rule implies_elim :premises (@p146)) % 2.22/2.44 (step @p149 false :rule chain_m_resolution :premises (@p148 @p143 @p57) :args (false (@list true false) (@list @t194 @t83))) % 2.22/2.44 ) % 2.22/2.44 % SZS output end Proof % 2.22/2.44 % cvc5 exiting %------------------------------------------------------------------------------