%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO903^10 : TPTP v9.2.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 09:13:45 AM UTC 2026 % Result : Theorem 0.45s 0.68s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO903^10 : TPTP v9.2.1. Released v8.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n029.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 01:09:32 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.52 %----Proving TH0 % 0.45/0.68 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/0.68 % SZS status Theorem % 0.45/0.68 % SZS output start Proof % 0.45/0.68 ( % 0.45/0.68 (declare-sort tptp.mworld 0) % 0.45/0.68 (declare-const tptp.mactual tptp.mworld) % 0.45/0.68 (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool)) % 0.45/0.68 (declare-const tptp.v4 (-> tptp.mworld Bool)) % 0.45/0.68 (declare-const tptp.v2 (-> tptp.mworld Bool)) % 0.45/0.68 (declare-const tptp.v3 (-> tptp.mworld Bool)) % 0.45/0.68 (declare-const tptp.v1 (-> tptp.mworld Bool)) % 0.45/0.68 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 0.45/0.68 (define tptp.mnot () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.45/0.68 (define tptp.mand () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.45/0.68 (define tptp.mor () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.45/0.68 (define tptp.mimplies () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (=> (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.45/0.68 (define tptp.mequiv () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.45/0.68 (define tptp.mbox () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 0.45/0.68 (define tptp.mdia () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (exists (@list _let_1) (and (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 0.45/0.68 (define @t1 () (@var "W" tptp.mworld)) % 0.45/0.68 (define @t2 () (_ tptp.mrel @t1)) % 0.45/0.68 (define @t3 () (_ @t2 @t1)) % 0.45/0.68 (define @t4 () (@list @t1)) % 0.45/0.68 (define @t5 () (forall @t4 @t3)) % 0.45/0.68 (define @t6 () (@var "U" tptp.mworld)) % 0.45/0.68 (define @t7 () (@var "V" tptp.mworld)) % 0.45/0.68 (define @t8 () (_ @t2 @t7)) % 0.45/0.68 (define @t9 () (_ tptp.mnot tptp.v1)) % 0.45/0.68 (define @t10 () (_ tptp.mbox @t9)) % 0.45/0.68 (define @t11 () (_ tptp.mbox @t10)) % 0.45/0.68 (define @t12 () (_ tptp.mor tptp.v3)) % 0.45/0.68 (define @t13 () (_ tptp.mor tptp.v2)) % 0.45/0.68 (define @t14 () (_ tptp.mor tptp.v1)) % 0.45/0.68 (define @t15 () (_ tptp.mnot tptp.v3)) % 0.45/0.68 (define @t16 () (_ tptp.mbox @t15)) % 0.45/0.68 (define @t17 () (_ tptp.mbox @t16)) % 0.45/0.68 (define @t18 () (_ tptp.mor @t15)) % 0.45/0.68 (define @t19 () (_ tptp.mnot tptp.v4)) % 0.45/0.68 (define @t20 () (_ tptp.mbox @t19)) % 0.45/0.68 (define @t21 () (_ tptp.mbox @t20)) % 0.45/0.68 (define @t22 () (_ @t18 @t21)) % 0.45/0.68 (define @t23 () (_ tptp.mbox tptp.v1)) % 0.45/0.68 (define @t24 () (_ tptp.mbox @t23)) % 0.45/0.68 (define @t25 () (_ tptp.mor @t16)) % 0.45/0.68 (define @t26 () (_ tptp.mbox tptp.v4)) % 0.45/0.68 (define @t27 () (_ tptp.mbox @t26)) % 0.45/0.68 (define @t28 () (_ tptp.mbox tptp.v3)) % 0.45/0.68 (define @t29 () (_ tptp.mbox @t28)) % 0.45/0.68 (define @t30 () (_ tptp.mor @t29)) % 0.45/0.68 (define @t31 () (_ @t30 @t27)) % 0.45/0.68 (define @t32 () (_ tptp.mor @t10)) % 0.45/0.68 (define @t33 () (_ @t32 @t11)) % 0.45/0.68 (define @t34 () (_ tptp.mor tptp.v4)) % 0.45/0.68 (define @t35 () (_ tptp.mnot tptp.v2)) % 0.45/0.68 (define @t36 () (_ tptp.mbox @t35)) % 0.45/0.68 (define @t37 () (_ tptp.mbox @t36)) % 0.45/0.68 (define @t38 () (_ tptp.mor @t19)) % 0.45/0.68 (define @t39 () (_ tptp.mor @t35)) % 0.45/0.68 (define @t40 () (_ tptp.mor @t26)) % 0.45/0.68 (define @t41 () (_ @t18 @t33)) % 0.45/0.68 (define @t42 () (_ (_ tptp.mor @t17) @t21)) % 0.45/0.68 (define @t43 () (_ tptp.mor @t23)) % 0.45/0.68 (define @t44 () (_ tptp.mor @t27)) % 0.45/0.68 (define @t45 () (_ tptp.mbox tptp.v2)) % 0.45/0.68 (define @t46 () (_ tptp.mor @t45)) % 0.45/0.68 (define @t47 () (_ tptp.mbox @t45)) % 0.45/0.68 (define @t48 () (_ tptp.mor @t36)) % 0.45/0.68 (define @t49 () (_ @t44 @t17)) % 0.45/0.68 (define @t50 () (_ tptp.mor @t9)) % 0.45/0.68 (define @t51 () (_ tptp.mor @t47)) % 0.45/0.68 (define @t52 () (_ tptp.mor @t24)) % 0.45/0.68 (define @t53 () (_ @t52 @t27)) % 0.45/0.68 (define @t54 () (_ @t18 @t53)) % 0.45/0.68 (define @t55 () (_ @t44 @t11)) % 0.45/0.68 (define @t56 () (_ tptp.mor @t28)) % 0.45/0.68 (define @t57 () (_ tptp.mor @t20)) % 0.45/0.68 (define @t58 () (_ @t44 @t21)) % 0.45/0.68 (define @t59 () (lambda @t4 true)) % 0.45/0.68 (define @t60 () (@var "Phi" (-> tptp.mworld Bool))) % 0.45/0.68 (define @t61 () (lambda (@list @t60) (_ @t60 tptp.mactual))) % 0.45/0.68 (define @t62 () (@var "A" (-> tptp.mworld Bool))) % 0.45/0.68 (define @t63 () (_ @t62 @t1)) % 0.45/0.68 (define @t64 () (lambda (@list @t62 @t1) (not @t63))) % 0.45/0.68 (define @t65 () (@var "B" (-> tptp.mworld Bool))) % 0.45/0.68 (define @t66 () (_ @t65 @t1)) % 0.45/0.68 (define @t67 () (@list @t62 @t65 @t1)) % 0.45/0.68 (define @t68 () (lambda @t67 (and @t63 @t66))) % 0.45/0.68 (define @t69 () (lambda @t67 (or @t63 @t66))) % 0.45/0.68 (define @t70 () (lambda @t67 (=> @t63 @t66))) % 0.45/0.68 (define @t71 () (lambda @t67 (= @t63 @t66))) % 0.45/0.68 (define @t72 () (_ @t60 @t7)) % 0.45/0.68 (define @t73 () (@list @t7)) % 0.45/0.68 (define @t74 () (forall @t73 (=> @t8 @t72))) % 0.45/0.68 (define @t75 () (@list @t60 @t1)) % 0.45/0.68 (define @t76 () (lambda @t75 @t74)) % 0.45/0.68 (define @t77 () (and @t8 @t72)) % 0.45/0.68 (define @t78 () (exists @t73 @t77)) % 0.45/0.68 (define @t79 () (lambda @t75 @t78)) % 0.45/0.68 (define @t80 () (tptp.mrel @t1 @t1)) % 0.45/0.68 (define @t81 () (@list tptp.mactual)) % 0.45/0.68 (define @t82 () (tptp.v1 tptp.mactual)) % 0.45/0.68 (define @t83 () (not @t82)) % 0.45/0.68 (define @t84 () (tptp.mrel tptp.mactual tptp.mactual)) % 0.45/0.68 (define @t85 () (not @t84)) % 0.45/0.68 (define @t86 () (or @t85 @t83)) % 0.45/0.68 (define @t87 () (tptp.v1 @t7)) % 0.45/0.68 (define @t88 () (not @t87)) % 0.45/0.68 (define @t89 () (not (tptp.mrel tptp.mactual @t7))) % 0.45/0.68 (define @t90 () (forall @t73 (or @t89 @t88))) % 0.45/0.68 (define @t91 () (or @t85 @t85 @t83)) % 0.45/0.68 (define @t92 () (@var "BOUND_VARIABLE_7845" tptp.mworld)) % 0.45/0.68 (define @t93 () (not (tptp.v1 @t92))) % 0.45/0.68 (define @t94 () (not (tptp.mrel @t7 @t92))) % 0.45/0.68 (define @t95 () (@list @t7 @t92)) % 0.45/0.68 (define @t96 () (forall @t95 (or @t89 @t94 @t93))) % 0.45/0.68 (define @t97 () (@list tptp.mactual tptp.mactual)) % 0.45/0.68 (define @t98 () (@var "BOUND_VARIABLE_8223" tptp.mworld)) % 0.45/0.68 (define @t99 () (tptp.v4 @t98)) % 0.45/0.68 (define @t100 () (not (tptp.mrel @t7 @t98))) % 0.45/0.68 (define @t101 () (@list @t7 @t98)) % 0.45/0.68 (define @t102 () (forall @t101 (or @t89 @t100 @t99))) % 0.45/0.68 (define @t103 () (tptp.v4 tptp.mactual)) % 0.45/0.68 (define @t104 () (_ tptp.v4 tptp.mactual)) % 0.45/0.68 (define @t105 () (or @t104 @t90 @t102 @t96)) % 0.45/0.68 (define @t106 () (tptp.mrel @t1 @t7)) % 0.45/0.68 (define @t107 () (not @t106)) % 0.45/0.68 (define @t108 () (or @t107 @t94 @t93)) % 0.45/0.68 (define @t109 () (forall @t95 @t108)) % 0.45/0.68 (define @t110 () (or @t107 @t100 @t99)) % 0.45/0.68 (define @t111 () (forall @t101 @t110)) % 0.45/0.68 (define @t112 () (forall @t73 (or @t107 @t88))) % 0.45/0.68 (define @t113 () (_ tptp.v4 @t1)) % 0.45/0.68 (define @t114 () (or @t113 @t112 @t111 @t109)) % 0.45/0.68 (define @t115 () (lambda @t4 @t114)) % 0.45/0.68 (define @t116 () (_ @t115 tptp.mactual)) % 0.45/0.68 (define @t117 () (or @t112 @t111 @t109)) % 0.45/0.68 (define @t118 () (lambda @t4 @t117)) % 0.45/0.68 (define @t119 () (_ @t118 @t1)) % 0.45/0.68 (define @t120 () (or @t113 @t119)) % 0.45/0.68 (define @t121 () (lambda @t4 @t120)) % 0.45/0.68 (define @t122 () (@list @t65 @t1)) % 0.45/0.68 (define @t123 () (lambda @t122 (or @t113 @t66))) % 0.45/0.68 (define @t124 () (or @t111 @t109)) % 0.45/0.68 (define @t125 () (lambda @t4 @t124)) % 0.45/0.68 (define @t126 () (_ @t125 @t1)) % 0.45/0.68 (define @t127 () (or @t112 @t126)) % 0.45/0.68 (define @t128 () (lambda @t4 @t127)) % 0.45/0.68 (define @t129 () (lambda @t122 (or @t112 @t66))) % 0.45/0.68 (define @t130 () (lambda @t4 @t109)) % 0.45/0.68 (define @t131 () (_ @t130 @t1)) % 0.45/0.68 (define @t132 () (or @t111 @t131)) % 0.45/0.68 (define @t133 () (lambda @t4 @t132)) % 0.45/0.68 (define @t134 () (or @t94 @t93)) % 0.45/0.68 (define @t135 () (or @t107 @t134)) % 0.45/0.68 (define @t136 () (forall @t95 @t135)) % 0.45/0.68 (define @t137 () (@list @t92)) % 0.45/0.68 (define @t138 () (forall @t137 @t135)) % 0.45/0.68 (define @t139 () (forall @t137 @t134)) % 0.45/0.68 (define @t140 () (@var "BOUND_VARIABLE_7828" tptp.mworld)) % 0.45/0.68 (define @t141 () (@list @t140)) % 0.45/0.68 (define @t142 () (or @t107 @t139)) % 0.45/0.68 (define @t143 () (not (tptp.v1 @t140))) % 0.45/0.68 (define @t144 () (@list @t140)) % 0.45/0.68 (define @t145 () (forall @t144 (or (not (tptp.mrel @t7 @t140)) @t143))) % 0.45/0.68 (define @t146 () (@list @t7)) % 0.45/0.68 (define @t147 () (lambda @t4 @t112)) % 0.45/0.68 (define @t148 () (or @t107 (_ @t147 @t7))) % 0.45/0.68 (define @t149 () (forall @t73 @t148)) % 0.45/0.68 (define @t150 () (lambda @t4 @t149)) % 0.45/0.68 (define @t151 () (_ @t60 @t7)) % 0.45/0.68 (define @t152 () (lambda @t75 (forall @t73 (or @t107 @t151)))) % 0.45/0.68 (define @t153 () (_ tptp.v1 @t7)) % 0.45/0.68 (define @t154 () (not @t153)) % 0.45/0.68 (define @t155 () (or @t107 @t154)) % 0.45/0.68 (define @t156 () (_ tptp.v1 @t1)) % 0.45/0.68 (define @t157 () (not @t156)) % 0.45/0.68 (define @t158 () (lambda @t4 @t157)) % 0.45/0.68 (define @t159 () (_ @t158 @t7)) % 0.45/0.68 (define @t160 () (or @t107 @t159)) % 0.45/0.68 (define @t161 () (forall @t73 @t160)) % 0.45/0.68 (define @t162 () (lambda @t4 @t161)) % 0.45/0.68 (define @t163 () (lambda @t4 @t111)) % 0.45/0.68 (define @t164 () (_ @t163 @t1)) % 0.45/0.68 (define @t165 () (or @t164 @t66)) % 0.45/0.68 (define @t166 () (lambda @t122 @t165)) % 0.45/0.68 (define @t167 () (or @t100 @t99)) % 0.45/0.68 (define @t168 () (or @t107 @t167)) % 0.45/0.68 (define @t169 () (forall @t101 @t168)) % 0.45/0.68 (define @t170 () (@list @t98)) % 0.45/0.68 (define @t171 () (forall @t170 @t168)) % 0.45/0.68 (define @t172 () (forall @t170 @t167)) % 0.45/0.68 (define @t173 () (@var "BOUND_VARIABLE_8207" tptp.mworld)) % 0.45/0.68 (define @t174 () (@list @t173)) % 0.45/0.68 (define @t175 () (or @t107 @t172)) % 0.45/0.68 (define @t176 () (tptp.v4 @t173)) % 0.45/0.68 (define @t177 () (@list @t173)) % 0.45/0.68 (define @t178 () (forall @t177 (or (not (tptp.mrel @t7 @t173)) @t176))) % 0.45/0.68 (define @t179 () (tptp.v4 @t7)) % 0.45/0.68 (define @t180 () (forall @t73 (or @t107 @t179))) % 0.45/0.68 (define @t181 () (lambda @t4 @t180)) % 0.45/0.68 (define @t182 () (or @t107 (_ @t181 @t7))) % 0.45/0.68 (define @t183 () (forall @t73 @t182)) % 0.45/0.68 (define @t184 () (lambda @t4 @t183)) % 0.45/0.68 (define @t185 () (_ @t147 @t1)) % 0.45/0.68 (define @t186 () (or @t185 @t66)) % 0.45/0.68 (define @t187 () (lambda @t122 @t186)) % 0.45/0.68 (define @t188 () (not @t8)) % 0.45/0.68 (define @t189 () (or @t188 @t72)) % 0.45/0.68 (define @t190 () (or @t85 @t85 @t103)) % 0.45/0.68 (define @t191 () (not @t103)) % 0.45/0.68 (define @t192 () (or @t85 @t191)) % 0.45/0.68 (define @t193 () (not @t179)) % 0.45/0.68 (define @t194 () (forall @t73 (or @t89 @t193))) % 0.45/0.68 (define @t195 () (tptp.v2 tptp.mactual)) % 0.45/0.68 (define @t196 () (_ tptp.v2 tptp.mactual)) % 0.45/0.68 (define @t197 () (not @t196)) % 0.45/0.68 (define @t198 () (_ tptp.v1 tptp.mactual)) % 0.45/0.68 (define @t199 () (not @t198)) % 0.45/0.68 (define @t200 () (or @t199 @t197 @t194 @t96)) % 0.45/0.68 (define @t201 () (forall @t73 (or @t107 @t193))) % 0.45/0.68 (define @t202 () (_ tptp.v2 @t1)) % 0.45/0.68 (define @t203 () (not @t202)) % 0.45/0.68 (define @t204 () (or @t157 @t203 @t201 @t109)) % 0.45/0.68 (define @t205 () (lambda @t4 @t204)) % 0.45/0.68 (define @t206 () (_ @t205 tptp.mactual)) % 0.45/0.68 (define @t207 () (or @t203 @t201 @t109)) % 0.45/0.68 (define @t208 () (lambda @t4 @t207)) % 0.45/0.68 (define @t209 () (_ @t208 @t1)) % 0.45/0.68 (define @t210 () (or @t157 @t209)) % 0.45/0.68 (define @t211 () (lambda @t4 @t210)) % 0.45/0.68 (define @t212 () (or @t201 @t109)) % 0.45/0.68 (define @t213 () (lambda @t4 @t212)) % 0.45/0.68 (define @t214 () (_ @t213 @t1)) % 0.45/0.68 (define @t215 () (or @t203 @t214)) % 0.45/0.68 (define @t216 () (lambda @t4 @t215)) % 0.45/0.68 (define @t217 () (lambda @t122 (or @t203 @t66))) % 0.45/0.68 (define @t218 () (or @t201 @t131)) % 0.45/0.68 (define @t219 () (lambda @t4 @t218)) % 0.45/0.68 (define @t220 () (lambda @t4 @t201)) % 0.45/0.68 (define @t221 () (_ @t220 @t1)) % 0.45/0.68 (define @t222 () (or @t221 @t66)) % 0.45/0.68 (define @t223 () (lambda @t122 @t222)) % 0.45/0.68 (define @t224 () (_ tptp.v4 @t7)) % 0.45/0.68 (define @t225 () (not @t224)) % 0.45/0.68 (define @t226 () (or @t107 @t225)) % 0.45/0.68 (define @t227 () (not @t113)) % 0.45/0.68 (define @t228 () (lambda @t4 @t227)) % 0.45/0.68 (define @t229 () (_ @t228 @t7)) % 0.45/0.68 (define @t230 () (or @t107 @t229)) % 0.45/0.68 (define @t231 () (forall @t73 @t230)) % 0.45/0.68 (define @t232 () (lambda @t4 @t231)) % 0.45/0.68 (define @t233 () (lambda @t4 @t203)) % 0.45/0.68 (define @t234 () (_ @t233 @t1)) % 0.45/0.68 (define @t235 () (or @t234 @t66)) % 0.45/0.68 (define @t236 () (lambda @t122 @t235)) % 0.45/0.68 (define @t237 () (_ @t158 @t1)) % 0.45/0.68 (define @t238 () (or @t237 @t66)) % 0.45/0.68 (define @t239 () (lambda @t122 @t238)) % 0.45/0.68 (define @t240 () (not @t195)) % 0.45/0.68 (define @t241 () (tptp.v3 tptp.mactual)) % 0.45/0.68 (define @t242 () (_ tptp.v3 tptp.mactual)) % 0.45/0.68 (define @t243 () (not @t242)) % 0.45/0.68 (define @t244 () (or @t196 @t243 @t90 @t96)) % 0.45/0.68 (define @t245 () (_ tptp.v3 @t1)) % 0.45/0.68 (define @t246 () (not @t245)) % 0.45/0.68 (define @t247 () (or @t202 @t246 @t112 @t109)) % 0.45/0.68 (define @t248 () (lambda @t4 @t247)) % 0.45/0.68 (define @t249 () (_ @t248 tptp.mactual)) % 0.45/0.68 (define @t250 () (or @t246 @t112 @t109)) % 0.45/0.68 (define @t251 () (lambda @t4 @t250)) % 0.45/0.68 (define @t252 () (_ @t251 @t1)) % 0.45/0.68 (define @t253 () (or @t202 @t252)) % 0.45/0.68 (define @t254 () (lambda @t4 @t253)) % 0.45/0.68 (define @t255 () (lambda @t122 (or @t202 @t66))) % 0.45/0.68 (define @t256 () (or @t112 @t109)) % 0.45/0.68 (define @t257 () (lambda @t4 @t256)) % 0.45/0.68 (define @t258 () (_ @t257 @t1)) % 0.45/0.68 (define @t259 () (or @t246 @t258)) % 0.45/0.68 (define @t260 () (lambda @t4 @t259)) % 0.45/0.68 (define @t261 () (lambda @t122 (or @t246 @t66))) % 0.45/0.68 (define @t262 () (or @t112 @t131)) % 0.45/0.68 (define @t263 () (lambda @t4 @t262)) % 0.45/0.68 (define @t264 () (lambda @t4 @t246)) % 0.45/0.68 (define @t265 () (_ @t264 @t1)) % 0.45/0.68 (define @t266 () (or @t265 @t66)) % 0.45/0.68 (define @t267 () (lambda @t122 @t266)) % 0.45/0.68 (define @t268 () (not @t241)) % 0.45/0.68 (define @t269 () (or @t85 @t85 @t241)) % 0.45/0.68 (define @t270 () (not @t269)) % 0.45/0.68 (define @t271 () (@var "BOUND_VARIABLE_8181" tptp.mworld)) % 0.45/0.68 (define @t272 () (tptp.v3 @t271)) % 0.45/0.68 (define @t273 () (not (tptp.mrel @t7 @t271))) % 0.45/0.68 (define @t274 () (@list @t7 @t271)) % 0.45/0.68 (define @t275 () (forall @t274 (or @t89 @t273 @t272))) % 0.45/0.68 (define @t276 () (@var "BOUND_VARIABLE_8031" tptp.mworld)) % 0.45/0.68 (define @t277 () (not (tptp.v4 @t276))) % 0.45/0.68 (define @t278 () (not (tptp.mrel @t7 @t276))) % 0.45/0.68 (define @t279 () (@list @t7 @t276)) % 0.45/0.68 (define @t280 () (forall @t279 (or @t89 @t278 @t277))) % 0.45/0.68 (define @t281 () (not @t104)) % 0.45/0.68 (define @t282 () (or @t242 @t281 @t275 @t280)) % 0.45/0.68 (define @t283 () (or @t107 @t278 @t277)) % 0.45/0.68 (define @t284 () (forall @t279 @t283)) % 0.45/0.68 (define @t285 () (or @t107 @t273 @t272)) % 0.45/0.68 (define @t286 () (forall @t274 @t285)) % 0.45/0.68 (define @t287 () (or @t245 @t227 @t286 @t284)) % 0.45/0.68 (define @t288 () (lambda @t4 @t287)) % 0.45/0.68 (define @t289 () (_ @t288 tptp.mactual)) % 0.45/0.68 (define @t290 () (or @t227 @t286 @t284)) % 0.45/0.68 (define @t291 () (lambda @t4 @t290)) % 0.45/0.68 (define @t292 () (_ @t291 @t1)) % 0.45/0.68 (define @t293 () (or @t245 @t292)) % 0.45/0.68 (define @t294 () (lambda @t4 @t293)) % 0.45/0.68 (define @t295 () (lambda @t122 (or @t245 @t66))) % 0.45/0.68 (define @t296 () (or @t286 @t284)) % 0.45/0.68 (define @t297 () (lambda @t4 @t296)) % 0.45/0.68 (define @t298 () (_ @t297 @t1)) % 0.45/0.68 (define @t299 () (or @t227 @t298)) % 0.45/0.68 (define @t300 () (lambda @t4 @t299)) % 0.45/0.68 (define @t301 () (lambda @t122 (or @t227 @t66))) % 0.45/0.68 (define @t302 () (lambda @t4 @t284)) % 0.45/0.68 (define @t303 () (_ @t302 @t1)) % 0.45/0.68 (define @t304 () (or @t286 @t303)) % 0.45/0.68 (define @t305 () (lambda @t4 @t304)) % 0.45/0.68 (define @t306 () (lambda @t122 (or @t286 @t66))) % 0.45/0.68 (define @t307 () (or @t278 @t277)) % 0.45/0.68 (define @t308 () (or @t107 @t307)) % 0.45/0.68 (define @t309 () (forall @t279 @t308)) % 0.45/0.68 (define @t310 () (@list @t276)) % 0.45/0.68 (define @t311 () (forall @t310 @t308)) % 0.45/0.68 (define @t312 () (forall @t310 @t307)) % 0.45/0.68 (define @t313 () (@var "BOUND_VARIABLE_8014" tptp.mworld)) % 0.45/0.68 (define @t314 () (@list @t313)) % 0.45/0.68 (define @t315 () (or @t107 @t312)) % 0.45/0.68 (define @t316 () (not (tptp.v4 @t313))) % 0.45/0.68 (define @t317 () (@list @t313)) % 0.45/0.68 (define @t318 () (forall @t317 (or (not (tptp.mrel @t7 @t313)) @t316))) % 0.45/0.68 (define @t319 () (or @t107 (_ @t220 @t7))) % 0.45/0.68 (define @t320 () (forall @t73 @t319)) % 0.45/0.68 (define @t321 () (lambda @t4 @t320)) % 0.45/0.68 (define @t322 () (lambda @t4 @t286)) % 0.45/0.68 (define @t323 () (_ @t322 @t1)) % 0.45/0.68 (define @t324 () (or @t323 @t66)) % 0.45/0.68 (define @t325 () (lambda @t122 @t324)) % 0.45/0.68 (define @t326 () (or @t273 @t272)) % 0.45/0.68 (define @t327 () (or @t107 @t326)) % 0.45/0.68 (define @t328 () (forall @t274 @t327)) % 0.45/0.68 (define @t329 () (@list @t271)) % 0.45/0.68 (define @t330 () (forall @t329 @t327)) % 0.45/0.68 (define @t331 () (forall @t329 @t326)) % 0.45/0.68 (define @t332 () (@var "BOUND_VARIABLE_8165" tptp.mworld)) % 0.45/0.68 (define @t333 () (@list @t332)) % 0.45/0.68 (define @t334 () (or @t107 @t331)) % 0.45/0.68 (define @t335 () (tptp.v3 @t332)) % 0.45/0.68 (define @t336 () (@list @t332)) % 0.45/0.68 (define @t337 () (forall @t336 (or (not (tptp.mrel @t7 @t332)) @t335))) % 0.45/0.68 (define @t338 () (forall @t73 (or @t107 (tptp.v3 @t7)))) % 0.45/0.68 (define @t339 () (lambda @t4 @t338)) % 0.45/0.68 (define @t340 () (or @t107 (_ @t339 @t7))) % 0.45/0.68 (define @t341 () (forall @t73 @t340)) % 0.45/0.68 (define @t342 () (lambda @t4 @t341)) % 0.45/0.68 (define @t343 () (_ @t228 @t1)) % 0.45/0.68 (define @t344 () (or @t343 @t66)) % 0.45/0.68 (define @t345 () (lambda @t122 @t344)) % 0.45/0.68 (define @t346 () (or @t85 @t85 @t191)) % 0.45/0.68 (define @t347 () (not @t346)) % 0.45/0.68 (define @t348 () (or @t85 @t240)) % 0.45/0.68 (define @t349 () (forall @t73 @t89)) % 0.45/0.68 (define @t350 () (not @t349)) % 0.45/0.68 (define @t351 () (lambda @t4 (not (forall @t73 @t107)))) % 0.45/0.68 (define @t352 () (_ @t351 tptp.mactual)) % 0.45/0.68 (define @t353 () (@var "BOUND_VARIABLE_9641" tptp.mworld)) % 0.45/0.68 (define @t354 () (lambda (@list @t353) true)) % 0.45/0.68 (define @t355 () (_ @t354 @t7)) % 0.45/0.68 (define @t356 () (not @t355)) % 0.45/0.68 (define @t357 () (or @t107 @t356)) % 0.45/0.68 (define @t358 () (forall @t73 @t357)) % 0.45/0.68 (define @t359 () (not @t358)) % 0.45/0.68 (define @t360 () (lambda @t4 @t359)) % 0.45/0.68 (define @t361 () (lambda @t75 (not (forall @t73 (or @t107 (not @t151)))))) % 0.45/0.68 (define @t362 () (not @t72)) % 0.45/0.68 (define @t363 () (or @t188 @t362)) % 0.45/0.68 (define @t364 () (forall @t73 (not @t77))) % 0.45/0.68 (define @t365 () (not @t364)) % 0.45/0.68 (define @t366 () (@quantifiers_skolemize @t349 0)) % 0.45/0.68 (define @t367 () (tptp.mrel tptp.mactual @t366)) % 0.45/0.68 (define @t368 () (not @t367)) % 0.45/0.68 (define @t369 () (not @t368)) % 0.45/0.68 (define @t370 () (@list true)) % 0.45/0.68 (define @t371 () (tptp.v1 @t366)) % 0.45/0.68 (define @t372 () (not @t371)) % 0.45/0.68 (define @t373 () (or @t85 @t368 @t372)) % 0.45/0.68 (define @t374 () (or @t368 @t372)) % 0.45/0.68 (define @t375 () (@list tptp.mactual @t366)) % 0.45/0.68 (define @t376 () (or @t198 @t104 @t90 @t96)) % 0.45/0.68 (define @t377 () (or @t156 @t113 @t112 @t109)) % 0.45/0.68 (define @t378 () (lambda @t4 @t377)) % 0.45/0.68 (define @t379 () (_ @t378 tptp.mactual)) % 0.45/0.68 (define @t380 () (or @t113 @t112 @t109)) % 0.45/0.68 (define @t381 () (lambda @t4 @t380)) % 0.45/0.68 (define @t382 () (_ @t381 @t1)) % 0.45/0.68 (define @t383 () (or @t156 @t382)) % 0.45/0.68 (define @t384 () (lambda @t4 @t383)) % 0.45/0.68 (define @t385 () (lambda @t122 (or @t156 @t66))) % 0.45/0.68 (define @t386 () (or @t113 @t258)) % 0.45/0.68 (define @t387 () (lambda @t4 @t386)) % 0.45/0.68 (define @t388 () (or @t85 @t368 @t371)) % 0.45/0.68 (define @t389 () (@var "BOUND_VARIABLE_8107" tptp.mworld)) % 0.45/0.68 (define @t390 () (tptp.v1 @t389)) % 0.45/0.68 (define @t391 () (not (tptp.mrel @t7 @t389))) % 0.45/0.68 (define @t392 () (@list @t7 @t389)) % 0.45/0.68 (define @t393 () (forall @t392 (or @t89 @t391 @t390))) % 0.45/0.68 (define @t394 () (or @t104 @t243 @t393 @t102)) % 0.45/0.68 (define @t395 () (or @t107 @t391 @t390)) % 0.45/0.68 (define @t396 () (forall @t392 @t395)) % 0.45/0.68 (define @t397 () (or @t113 @t246 @t396 @t111)) % 0.45/0.68 (define @t398 () (lambda @t4 @t397)) % 0.45/0.68 (define @t399 () (_ @t398 tptp.mactual)) % 0.45/0.68 (define @t400 () (or @t246 @t396 @t111)) % 0.45/0.68 (define @t401 () (lambda @t4 @t400)) % 0.45/0.68 (define @t402 () (_ @t401 @t1)) % 0.45/0.68 (define @t403 () (or @t113 @t402)) % 0.45/0.68 (define @t404 () (lambda @t4 @t403)) % 0.45/0.68 (define @t405 () (or @t396 @t111)) % 0.45/0.68 (define @t406 () (lambda @t4 @t405)) % 0.45/0.68 (define @t407 () (_ @t406 @t1)) % 0.45/0.68 (define @t408 () (or @t246 @t407)) % 0.45/0.68 (define @t409 () (lambda @t4 @t408)) % 0.45/0.68 (define @t410 () (or @t396 @t164)) % 0.45/0.68 (define @t411 () (lambda @t4 @t410)) % 0.45/0.68 (define @t412 () (lambda @t4 @t396)) % 0.45/0.68 (define @t413 () (_ @t412 @t1)) % 0.45/0.68 (define @t414 () (or @t413 @t66)) % 0.45/0.68 (define @t415 () (lambda @t122 @t414)) % 0.45/0.68 (define @t416 () (or @t391 @t390)) % 0.45/0.68 (define @t417 () (or @t107 @t416)) % 0.45/0.68 (define @t418 () (forall @t392 @t417)) % 0.45/0.68 (define @t419 () (@list @t389)) % 0.45/0.68 (define @t420 () (forall @t419 @t417)) % 0.45/0.68 (define @t421 () (forall @t419 @t416)) % 0.45/0.68 (define @t422 () (@var "BOUND_VARIABLE_8091" tptp.mworld)) % 0.45/0.68 (define @t423 () (@list @t422)) % 0.45/0.68 (define @t424 () (or @t107 @t421)) % 0.45/0.68 (define @t425 () (tptp.v1 @t422)) % 0.45/0.68 (define @t426 () (@list @t422)) % 0.45/0.68 (define @t427 () (forall @t426 (or (not (tptp.mrel @t7 @t422)) @t425))) % 0.45/0.68 (define @t428 () (forall @t73 (or @t107 @t87))) % 0.45/0.68 (define @t429 () (lambda @t4 @t428)) % 0.45/0.68 (define @t430 () (or @t107 (_ @t429 @t7))) % 0.45/0.68 (define @t431 () (forall @t73 @t430)) % 0.45/0.68 (define @t432 () (lambda @t4 @t431)) % 0.45/0.68 (define @t433 () (or @t198 @t242 @t275 @t102)) % 0.45/0.68 (define @t434 () (or @t156 @t245 @t286 @t111)) % 0.45/0.68 (define @t435 () (lambda @t4 @t434)) % 0.45/0.68 (define @t436 () (_ @t435 tptp.mactual)) % 0.45/0.68 (define @t437 () (or @t245 @t286 @t111)) % 0.45/0.68 (define @t438 () (lambda @t4 @t437)) % 0.45/0.68 (define @t439 () (_ @t438 @t1)) % 0.45/0.68 (define @t440 () (or @t156 @t439)) % 0.45/0.68 (define @t441 () (lambda @t4 @t440)) % 0.45/0.68 (define @t442 () (or @t286 @t111)) % 0.45/0.68 (define @t443 () (lambda @t4 @t442)) % 0.45/0.68 (define @t444 () (_ @t443 @t1)) % 0.45/0.68 (define @t445 () (or @t245 @t444)) % 0.45/0.68 (define @t446 () (lambda @t4 @t445)) % 0.45/0.68 (define @t447 () (or @t286 @t164)) % 0.45/0.68 (define @t448 () (lambda @t4 @t447)) % 0.45/0.68 (define @t449 () (@var "BOUND_VARIABLE_8365" tptp.mworld)) % 0.45/0.68 (define @t450 () (not (tptp.v2 @t449))) % 0.45/0.68 (define @t451 () (not (tptp.mrel @t7 @t449))) % 0.45/0.68 (define @t452 () (@list @t7 @t449)) % 0.45/0.68 (define @t453 () (forall @t452 (or @t89 @t451 @t450))) % 0.45/0.68 (define @t454 () (or @t198 @t197 @t281 @t453)) % 0.45/0.68 (define @t455 () (or @t107 @t451 @t450)) % 0.45/0.68 (define @t456 () (forall @t452 @t455)) % 0.45/0.68 (define @t457 () (or @t156 @t203 @t227 @t456)) % 0.45/0.68 (define @t458 () (lambda @t4 @t457)) % 0.45/0.68 (define @t459 () (_ @t458 tptp.mactual)) % 0.45/0.68 (define @t460 () (or @t203 @t227 @t456)) % 0.45/0.68 (define @t461 () (lambda @t4 @t460)) % 0.45/0.68 (define @t462 () (_ @t461 @t1)) % 0.45/0.68 (define @t463 () (or @t156 @t462)) % 0.45/0.68 (define @t464 () (lambda @t4 @t463)) % 0.45/0.68 (define @t465 () (or @t227 @t456)) % 0.45/0.68 (define @t466 () (lambda @t4 @t465)) % 0.45/0.68 (define @t467 () (_ @t466 @t1)) % 0.45/0.68 (define @t468 () (or @t203 @t467)) % 0.45/0.68 (define @t469 () (lambda @t4 @t468)) % 0.45/0.68 (define @t470 () (lambda @t4 @t456)) % 0.45/0.68 (define @t471 () (_ @t470 @t1)) % 0.45/0.68 (define @t472 () (or @t227 @t471)) % 0.45/0.68 (define @t473 () (lambda @t4 @t472)) % 0.45/0.68 (define @t474 () (or @t451 @t450)) % 0.45/0.68 (define @t475 () (or @t107 @t474)) % 0.45/0.68 (define @t476 () (forall @t452 @t475)) % 0.45/0.68 (define @t477 () (@list @t449)) % 0.45/0.68 (define @t478 () (forall @t477 @t475)) % 0.45/0.68 (define @t479 () (forall @t477 @t474)) % 0.45/0.68 (define @t480 () (@var "BOUND_VARIABLE_8348" tptp.mworld)) % 0.45/0.68 (define @t481 () (@list @t480)) % 0.45/0.68 (define @t482 () (or @t107 @t479)) % 0.45/0.68 (define @t483 () (not (tptp.v2 @t480))) % 0.45/0.68 (define @t484 () (@list @t480)) % 0.45/0.68 (define @t485 () (forall @t484 (or (not (tptp.mrel @t7 @t480)) @t483))) % 0.45/0.68 (define @t486 () (tptp.v2 @t7)) % 0.45/0.68 (define @t487 () (not @t486)) % 0.45/0.68 (define @t488 () (forall @t73 (or @t107 @t487))) % 0.45/0.68 (define @t489 () (lambda @t4 @t488)) % 0.45/0.68 (define @t490 () (or @t107 (_ @t489 @t7))) % 0.45/0.68 (define @t491 () (forall @t73 @t490)) % 0.45/0.68 (define @t492 () (lambda @t4 @t491)) % 0.45/0.68 (define @t493 () (_ tptp.v2 @t7)) % 0.45/0.68 (define @t494 () (not @t493)) % 0.45/0.68 (define @t495 () (or @t107 @t494)) % 0.45/0.68 (define @t496 () (_ @t233 @t7)) % 0.45/0.68 (define @t497 () (or @t107 @t496)) % 0.45/0.68 (define @t498 () (forall @t73 @t497)) % 0.45/0.68 (define @t499 () (lambda @t4 @t498)) % 0.45/0.68 (define @t500 () (forall @t73 (or @t89 @t487))) % 0.45/0.68 (define @t501 () (@quantifiers_skolemize @t500 0)) % 0.45/0.68 (define @t502 () (tptp.v2 @t501)) % 0.45/0.68 (define @t503 () (not @t502)) % 0.45/0.68 (define @t504 () (tptp.mrel tptp.mactual @t501)) % 0.45/0.68 (define @t505 () (not @t504)) % 0.45/0.68 (define @t506 () (or @t85 @t505 @t503)) % 0.45/0.68 (define @t507 () (or @t505 @t503)) % 0.45/0.68 (define @t508 () (not @t507)) % 0.45/0.68 (define @t509 () (not @t500)) % 0.45/0.68 (define @t510 () (not @t506)) % 0.45/0.68 (define @t511 () (or @t198 @t196 @t243 @t280)) % 0.45/0.68 (define @t512 () (or @t156 @t202 @t246 @t284)) % 0.45/0.68 (define @t513 () (lambda @t4 @t512)) % 0.45/0.68 (define @t514 () (_ @t513 tptp.mactual)) % 0.45/0.68 (define @t515 () (or @t202 @t246 @t284)) % 0.45/0.68 (define @t516 () (lambda @t4 @t515)) % 0.45/0.68 (define @t517 () (_ @t516 @t1)) % 0.45/0.68 (define @t518 () (or @t156 @t517)) % 0.45/0.68 (define @t519 () (lambda @t4 @t518)) % 0.45/0.68 (define @t520 () (or @t246 @t284)) % 0.45/0.68 (define @t521 () (lambda @t4 @t520)) % 0.45/0.68 (define @t522 () (_ @t521 @t1)) % 0.45/0.68 (define @t523 () (or @t202 @t522)) % 0.45/0.68 (define @t524 () (lambda @t4 @t523)) % 0.45/0.68 (define @t525 () (or @t246 @t303)) % 0.45/0.68 (define @t526 () (lambda @t4 @t525)) % 0.45/0.68 (assume @p1 @t5) % 0.45/0.68 (assume @p2 (forall (@list @t1 @t7 @t6) (=> (and @t8 (_ (_ tptp.mrel @t7) @t6)) (_ @t2 @t6)))) % 0.45/0.68 (assume @p3 (_ tptp.mlocal (_ @t14 (_ @t13 (_ @t12 @t11))))) % 0.45/0.68 (assume @p4 (_ tptp.mlocal (_ @t14 (_ @t13 (_ @t18 @t17))))) % 0.45/0.68 (assume @p5 (_ tptp.mlocal (_ @t14 (_ @t13 @t22)))) % 0.45/0.68 (assume @p6 (_ tptp.mlocal (_ @t14 (_ @t13 (_ @t25 @t24))))) % 0.45/0.68 (assume @p7 (_ tptp.mlocal (_ @t14 (_ @t12 @t31)))) % 0.45/0.68 (assume @p8 (_ tptp.mlocal (_ @t14 (_ @t34 @t33)))) % 0.45/0.68 (assume @p9 (_ tptp.mlocal (_ @t14 (_ @t39 (_ @t38 @t37))))) % 0.45/0.68 (assume @p10 (_ tptp.mlocal (_ @t14 (_ @t39 (_ @t25 @t29))))) % 0.45/0.68 (assume @p11 (_ tptp.mlocal (_ @t14 (_ @t18 (_ @t40 @t21))))) % 0.45/0.68 (assume @p12 (_ tptp.mlocal (_ @t14 @t41))) % 0.45/0.68 (assume @p13 (_ tptp.mlocal (_ @t14 (_ @t38 @t42)))) % 0.45/0.68 (assume @p14 (_ tptp.mlocal (_ @t14 (_ @t43 @t33)))) % 0.45/0.68 (assume @p15 (_ tptp.mlocal (_ @t14 (_ @t46 (_ @t44 @t37))))) % 0.45/0.68 (assume @p16 (_ tptp.mlocal (_ @t13 (_ @t12 (_ @t34 @t21))))) % 0.45/0.68 (assume @p17 (_ tptp.mlocal (_ @t13 (_ @t34 @t22)))) % 0.45/0.68 (assume @p18 (_ tptp.mlocal (_ @t13 (_ @t34 (_ @t48 @t47))))) % 0.45/0.68 (assume @p19 (_ tptp.mlocal (_ @t13 (_ @t50 @t49)))) % 0.45/0.68 (assume @p20 (_ tptp.mlocal (_ @t13 @t41))) % 0.45/0.68 (assume @p21 (_ tptp.mlocal (_ @t13 (_ @t40 (_ @t51 @t29))))) % 0.45/0.68 (assume @p22 (_ tptp.mlocal (_ @t13 (_ @t32 (_ @t30 @t37))))) % 0.45/0.68 (assume @p23 (_ tptp.mlocal (_ @t13 (_ @t30 @t42)))) % 0.45/0.68 (assume @p24 (_ tptp.mlocal (_ @t12 (_ @t34 (_ @t46 @t24))))) % 0.45/0.68 (assume @p25 (_ tptp.mlocal (_ @t12 (_ @t34 (_ @t52 @t21))))) % 0.45/0.68 (assume @p26 (_ tptp.mlocal (_ @t12 (_ @t34 (_ @t51 @t27))))) % 0.45/0.68 (assume @p27 (_ tptp.mlocal (_ @t12 (_ @t50 (_ @t52 @t47))))) % 0.45/0.68 (assume @p28 (_ tptp.mlocal (_ @t12 (_ @t38 (_ @t30 @t21))))) % 0.45/0.68 (assume @p29 (_ tptp.mlocal (_ @t12 (_ @t43 (_ @t32 @t27))))) % 0.45/0.68 (assume @p30 (_ tptp.mlocal (_ @t34 (_ @t50 (_ @t43 @t37))))) % 0.45/0.68 (assume @p31 (_ tptp.mlocal (_ @t34 (_ @t50 (_ @t32 @t29))))) % 0.45/0.68 (assume @p32 (_ tptp.mlocal (_ @t34 (_ @t18 (_ @t43 @t47))))) % 0.45/0.68 (assume @p33 (_ tptp.mlocal (_ @t34 @t54))) % 0.45/0.68 (assume @p34 (_ tptp.mlocal (_ @t34 (_ @t32 @t55)))) % 0.45/0.68 (assume @p35 (_ tptp.mlocal (_ @t50 (_ @t39 (_ @t56 @t11))))) % 0.45/0.68 (assume @p36 (_ tptp.mlocal (_ @t50 (_ @t39 (_ @t57 @t11))))) % 0.45/0.68 (assume @p37 (_ tptp.mlocal (_ @t50 (_ @t18 (_ @t25 @t27))))) % 0.45/0.68 (assume @p38 (_ tptp.mlocal (_ @t50 (_ @t18 (_ (_ tptp.mor @t11) @t17))))) % 0.45/0.68 (assume @p39 (_ tptp.mlocal (_ @t50 (_ @t32 @t53)))) % 0.45/0.68 (assume @p40 (_ tptp.mlocal (_ @t50 (_ @t57 @t58)))) % 0.45/0.68 (assume @p41 (_ tptp.mlocal (_ @t50 (_ @t52 @t49)))) % 0.45/0.68 (assume @p42 (_ tptp.mlocal (_ @t39 @t54))) % 0.45/0.68 (assume @p43 (_ tptp.mlocal (_ @t39 (_ @t38 (_ @t48 @t29))))) % 0.45/0.68 (assume @p44 (_ tptp.mlocal (_ @t39 (_ @t40 (_ @t51 @t17))))) % 0.45/0.68 (assume @p45 (_ tptp.mlocal (_ @t39 (_ @t30 @t55)))) % 0.45/0.68 (assume @p46 (_ tptp.mlocal (_ @t18 (_ @t38 (_ @t57 @t27))))) % 0.45/0.68 (assume @p47 (_ tptp.mlocal (_ @t18 (_ @t56 (_ @t57 @t29))))) % 0.45/0.68 (assume @p48 (_ tptp.mlocal (_ @t18 (_ @t57 (_ (_ tptp.mor @t37) @t21))))) % 0.45/0.68 (assume @p49 (_ tptp.mlocal (_ @t38 (_ @t43 @t31)))) % 0.45/0.68 (assume @p50 (_ tptp.mlocal (_ @t38 (_ @t56 (_ @t51 @t21))))) % 0.45/0.68 (assume @p51 (_ tptp.mlocal (_ @t38 (_ @t40 (_ @t32 @t24))))) % 0.45/0.68 (assume @p52 (_ tptp.mlocal (_ @t38 (_ @t48 @t58)))) % 0.45/0.68 (assume @p53 (_ tptp.mlocal (_ tptp.mdia @t59))) % 0.45/0.68 (assume @p54 (not (_ tptp.mlocal (lambda @t4 false)))) % 0.45/0.68 (assume @p55 true) % 0.45/0.68 (step @p56 (= tptp.mlocal @t61) :rule refl :args (@t61)) % 0.45/0.68 (step @p57 (= tptp.mnot @t64) :rule refl :args (@t64)) % 0.45/0.68 (step @p58 (= tptp.mand @t68) :rule refl :args (@t68)) % 0.45/0.68 (step @p59 (= tptp.mor @t69) :rule refl :args (@t69)) % 0.45/0.68 (step @p60 (= tptp.mimplies @t70) :rule refl :args (@t70)) % 0.45/0.68 (step @p61 (= tptp.mequiv @t71) :rule refl :args (@t71)) % 0.45/0.68 (step @p62 (= tptp.mbox @t76) :rule refl :args (@t76)) % 0.45/0.68 (step @p63 (= tptp.mdia @t79) :rule refl :args (@t79)) % 0.45/0.68 (step @p64 :rule refl :args (@t80)) % 0.45/0.68 (step @p65 :rule refl :args (@t3)) % 0.45/0.68 (step @p66 :rule cong :premises (@p65 @p64) :args ((= @t3 @t80))) % 0.45/0.68 (step @p67 :rule symm :premises (@p66)) % 0.45/0.68 (step @p68 :rule eq_resolve :premises (@p65 @p67)) % 0.45/0.68 (step @p69 :rule cong :premises (@p68) :args (@t5)) % 0.45/0.68 (step @p70 :rule eq_resolve :premises (@p1 @p69)) % 0.45/0.68 (step @p71 :rule instantiate :premises (@p70) :args (@t81)) % 0.45/0.68 (step @p72 :rule cnf_or_pos :args (@t86)) % 0.45/0.68 (step @p73 :rule reordering :premises (@p72) :args ((or @t83 @t85 (not @t86)))) % 0.45/0.68 (assume-push @p948 @t90) % 0.45/0.68 (step @p75 :rule instantiate :premises (@p948) :args (@t81)) % 0.45/0.68 (step-pop @p949 :rule scope :premises (@p75)) % 0.45/0.68 (step @p76 :rule process_scope :premises (@p949) :args (@t86)) % 0.45/0.68 (step @p78 :rule implies_elim :premises (@p76)) % 0.45/0.68 (step @p79 :rule cnf_or_pos :args (@t91)) % 0.45/0.68 (step @p80 :rule factoring :premises (@p79)) % 0.45/0.68 (step @p81 :rule reordering :premises (@p80) :args ((or @t83 @t85 (not @t91)))) % 0.45/0.68 (assume-push @p950 @t96) % 0.45/0.68 (step @p83 :rule instantiate :premises (@p950) :args (@t97)) % 0.45/0.68 (step-pop @p951 :rule scope :premises (@p83)) % 0.45/0.68 (step @p84 :rule process_scope :premises (@p951) :args (@t91)) % 0.45/0.68 (step @p86 :rule implies_elim :premises (@p84)) % 0.45/0.68 (step @p87 :rule refl :args (@t96)) % 0.45/0.68 (step @p88 :rule refl :args (@t102)) % 0.45/0.68 (step @p89 :rule refl :args (@t90)) % 0.45/0.68 (step @p90 :rule refl :args (@t103)) % 0.45/0.68 (step @p91 :rule refl :args (@t104)) % 0.45/0.68 (step @p92 :rule cong :premises (@p91 @p90) :args ((= @t104 @t103))) % 0.45/0.68 (step @p93 :rule symm :premises (@p92)) % 0.45/0.68 (step @p94 :rule eq_resolve :premises (@p91 @p93)) % 0.45/0.68 (step @p95 :rule nary_cong :premises (@p94 @p89 @p88 @p87) :args (@t105)) % 0.45/0.68 (step @p96 :rule beta-reduce :args ((= @t116 @t105))) % 0.45/0.68 (step @p97 :rule beta-reduce :args ((= (_ @t61 @t115) @t116))) % 0.45/0.68 (step @p98 :rule trans :premises (@p97 @p96)) % 0.45/0.68 (step @p99 :rule aci_norm :args ((= (or @t113 @t117) @t114))) % 0.45/0.68 (step @p100 :rule beta-reduce :args ((= @t119 @t117))) % 0.45/0.68 (step @p101 :rule refl :args (@t113)) % 0.45/0.68 (step @p102 :rule nary_cong :premises (@p101 @p100) :args (@t120)) % 0.45/0.68 (step @p103 :rule trans :premises (@p102 @p99)) % 0.45/0.68 (step @p104 :rule cong :premises (@p103) :args (@t121)) % 0.45/0.68 (step @p105 :rule beta-reduce :args ((= (_ @t123 @t118) @t121))) % 0.45/0.68 (step @p106 :rule trans :premises (@p105 @p104)) % 0.45/0.68 (step @p107 :rule aci_norm :args ((= (or @t112 @t124) @t117))) % 0.45/0.68 (step @p108 :rule beta-reduce :args ((= @t126 @t124))) % 0.45/0.68 (step @p109 :rule refl :args (@t112)) % 0.45/0.68 (step @p110 :rule nary_cong :premises (@p109 @p108) :args (@t127)) % 0.45/0.68 (step @p111 :rule trans :premises (@p110 @p107)) % 0.45/0.68 (step @p112 :rule cong :premises (@p111) :args (@t128)) % 0.45/0.68 (step @p113 :rule beta-reduce :args ((= (_ @t129 @t125) @t128))) % 0.45/0.68 (step @p114 :rule trans :premises (@p113 @p112)) % 0.45/0.68 (step @p115 :rule beta-reduce :args ((= @t131 @t109))) % 0.45/0.68 (step @p116 :rule refl :args (@t111)) % 0.45/0.68 (step @p117 :rule nary_cong :premises (@p116 @p115) :args (@t132)) % 0.45/0.68 (step @p118 :rule cong :premises (@p117) :args (@t133)) % 0.45/0.68 (step @p119 :rule beta-reduce :args ((= (_ (lambda @t122 (or @t111 @t66)) @t130) @t133))) % 0.45/0.68 (step @p120 :rule trans :premises (@p119 @p118)) % 0.45/0.68 (step @p121 :rule aci_norm :args ((= @t135 @t108))) % 0.45/0.68 (step @p122 :rule cong :premises (@p121) :args (@t136)) % 0.45/0.68 (step @p123 :rule quant-merge-prenex :args ((= (forall @t73 @t138) @t136))) % 0.45/0.68 (step @p124 :rule alpha_equiv :args (@t139 (@list @t92) @t141)) % 0.45/0.68 (step @p125 :rule refl :args (@t107)) % 0.45/0.68 (step @p126 :rule nary_cong :premises (@p125 @p124) :args (@t142)) % 0.45/0.68 (step @p127 :rule quant-miniscope-or :args ((= @t138 @t142))) % 0.45/0.68 (step @p128 :rule trans :premises (@p127 @p126)) % 0.45/0.68 (step @p129 :rule symm :premises (@p128)) % 0.45/0.68 (step @p130 :rule cong :premises (@p129) :args ((forall @t73 (or @t107 @t145)))) % 0.45/0.68 (step @p131 :rule trans :premises (@p130 @p123)) % 0.45/0.68 (step @p132 :rule trans :premises (@p131 @p122)) % 0.45/0.68 (step @p133 :rule beta-reduce :args ((= (_ (lambda @t4 (forall @t144 (or (not (tptp.mrel @t1 @t140)) @t143))) @t7) @t145))) % 0.45/0.68 (step @p134 :rule refl :args (@t7)) % 0.45/0.68 (step @p135 :rule alpha_equiv :args (@t112 @t146 @t141)) % 0.45/0.68 (step @p136 :rule cong :premises (@p135) :args (@t147)) % 0.45/0.68 (step @p137 :rule ho_cong :premises (@p136 @p134)) % 0.45/0.68 (step @p138 :rule trans :premises (@p137 @p133)) % 0.45/0.68 (step @p139 :rule refl :args (@t107)) % 0.45/0.68 (step @p140 :rule nary_cong :premises (@p139 @p138) :args (@t148)) % 0.45/0.68 (step @p141 :rule cong :premises (@p140) :args (@t149)) % 0.45/0.68 (step @p142 :rule trans :premises (@p141 @p132)) % 0.45/0.68 (step @p143 :rule cong :premises (@p142) :args (@t150)) % 0.45/0.68 (step @p144 :rule beta-reduce :args ((= (_ @t152 @t147) @t150))) % 0.45/0.68 (step @p145 :rule trans :premises (@p144 @p143)) % 0.45/0.68 (step @p146 :rule refl :args (@t87)) % 0.45/0.68 (step @p147 :rule refl :args (@t153)) % 0.45/0.68 (step @p148 :rule cong :premises (@p147 @p146) :args ((= @t153 @t87))) % 0.45/0.68 (step @p149 :rule symm :premises (@p148)) % 0.45/0.68 (step @p150 :rule eq_resolve :premises (@p147 @p149)) % 0.45/0.68 (step @p151 :rule cong :premises (@p150) :args (@t154)) % 0.45/0.68 (step @p152 :rule nary_cong :premises (@p125 @p151) :args (@t155)) % 0.45/0.68 (step @p153 :rule cong :premises (@p152) :args ((forall @t73 @t155))) % 0.45/0.68 (step @p154 :rule beta-reduce :args ((= @t159 @t154))) % 0.45/0.68 (step @p155 :rule nary_cong :premises (@p139 @p154) :args (@t160)) % 0.45/0.68 (step @p156 :rule cong :premises (@p155) :args (@t161)) % 0.45/0.68 (step @p157 :rule trans :premises (@p156 @p153)) % 0.45/0.68 (step @p158 :rule cong :premises (@p157) :args (@t162)) % 0.45/0.68 (step @p159 :rule beta-reduce :args ((= (_ @t152 @t158) @t162))) % 0.45/0.68 (step @p160 :rule trans :premises (@p159 @p158)) % 0.45/0.68 (step @p161 :rule beta-reduce :args ((= (_ @t64 tptp.v1) @t158))) % 0.45/0.68 (step @p162 :rule refl :args (@t152)) % 0.45/0.68 (step @p163 :rule ho_cong :premises (@p162 @p161)) % 0.45/0.68 (step @p164 :rule trans :premises (@p163 @p160)) % 0.45/0.68 (step @p165 :rule ho_cong :premises (@p162 @p164)) % 0.45/0.68 (step @p166 :rule trans :premises (@p165 @p145)) % 0.45/0.68 (step @p167 :rule refl :args (@t66)) % 0.45/0.68 (step @p168 :rule beta-reduce :args ((= @t164 @t111))) % 0.45/0.68 (step @p169 :rule nary_cong :premises (@p168 @p167) :args (@t165)) % 0.45/0.68 (step @p170 :rule cong :premises (@p169) :args (@t166)) % 0.45/0.68 (step @p171 :rule beta-reduce :args ((= (_ @t69 @t163) @t166))) % 0.45/0.68 (step @p172 :rule trans :premises (@p171 @p170)) % 0.45/0.68 (step @p173 :rule aci_norm :args ((= @t168 @t110))) % 0.45/0.68 (step @p174 :rule cong :premises (@p173) :args (@t169)) % 0.45/0.68 (step @p175 :rule quant-merge-prenex :args ((= (forall @t73 @t171) @t169))) % 0.45/0.68 (step @p176 :rule alpha_equiv :args (@t172 (@list @t98) @t174)) % 0.45/0.68 (step @p177 :rule nary_cong :premises (@p125 @p176) :args (@t175)) % 0.45/0.68 (step @p178 :rule quant-miniscope-or :args ((= @t171 @t175))) % 0.45/0.68 (step @p179 :rule trans :premises (@p178 @p177)) % 0.45/0.68 (step @p180 :rule symm :premises (@p179)) % 0.45/0.68 (step @p181 :rule cong :premises (@p180) :args ((forall @t73 (or @t107 @t178)))) % 0.45/0.68 (step @p182 :rule trans :premises (@p181 @p175)) % 0.45/0.68 (step @p183 :rule trans :premises (@p182 @p174)) % 0.45/0.68 (step @p184 :rule beta-reduce :args ((= (_ (lambda @t4 (forall @t177 (or (not (tptp.mrel @t1 @t173)) @t176))) @t7) @t178))) % 0.45/0.68 (step @p185 :rule alpha_equiv :args (@t180 @t146 @t174)) % 0.45/0.68 (step @p186 :rule cong :premises (@p185) :args (@t181)) % 0.45/0.68 (step @p187 :rule ho_cong :premises (@p186 @p134)) % 0.45/0.68 (step @p188 :rule trans :premises (@p187 @p184)) % 0.45/0.68 (step @p189 :rule nary_cong :premises (@p139 @p188) :args (@t182)) % 0.45/0.68 (step @p190 :rule cong :premises (@p189) :args (@t183)) % 0.45/0.68 (step @p191 :rule trans :premises (@p190 @p183)) % 0.45/0.68 (step @p192 :rule cong :premises (@p191) :args (@t184)) % 0.45/0.68 (step @p193 :rule beta-reduce :args ((= (_ @t152 @t181) @t184))) % 0.45/0.68 (step @p194 :rule trans :premises (@p193 @p192)) % 0.45/0.68 (step @p195 :rule beta-reduce :args ((= (_ @t152 tptp.v4) @t181))) % 0.45/0.68 (step @p196 :rule ho_cong :premises (@p162 @p195)) % 0.45/0.68 (step @p197 :rule trans :premises (@p196 @p194)) % 0.45/0.68 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:rule cong :premises (@p920) :args (@t524)) % 0.45/0.69 (step @p922 :rule beta-reduce :args ((= (_ @t255 @t521) @t524))) % 0.45/0.69 (step @p923 :rule trans :premises (@p922 @p921)) % 0.45/0.69 (step @p924 :rule nary_cong :premises (@p391 @p461) :args (@t525)) % 0.45/0.69 (step @p925 :rule cong :premises (@p924) :args (@t526)) % 0.45/0.69 (step @p926 :rule beta-reduce :args ((= (_ @t261 @t302) @t526))) % 0.45/0.69 (step @p927 :rule trans :premises (@p926 @p925)) % 0.45/0.69 (step @p928 :rule ho_cong :premises (@p410 @p490)) % 0.45/0.69 (step @p929 :rule trans :premises (@p928 @p927)) % 0.45/0.69 (step @p930 :rule ho_cong :premises (@p413 @p929)) % 0.45/0.69 (step @p931 :rule trans :premises (@p930 @p923)) % 0.45/0.69 (step @p932 :rule ho_cong :premises (@p652 @p931)) % 0.45/0.69 (step @p933 :rule trans :premises (@p932 @p916)) % 0.45/0.69 (step @p934 :rule ho_cong :premises (@p215 @p933)) % 0.45/0.69 (step @p935 :rule trans :premises (@p934 @p909)) % 0.45/0.69 (step @p936 :rule ho_cong :premises (@p421 @p539)) % 0.45/0.69 (step @p937 :rule ho_cong :premises (@p423 @p936)) % 0.45/0.69 (step @p938 :rule ho_cong :premises (@p658 @p937)) % 0.45/0.69 (step @p939 :rule ho_cong :premises (@p56 @p938)) % 0.45/0.69 (step @p940 :rule trans :premises (@p939 @p935)) % 0.45/0.69 (step @p941 :rule trans :premises (@p940 @p906)) % 0.45/0.69 (step @p942 :rule eq_resolve :premises (@p5 @p941)) % 0.45/0.69 (step @p943 :rule reordering :premises (@p942) :args ((or @t280 @t195 @t82 @t268))) % 0.45/0.69 (step @p944 :rule chain_m_resolution :premises (@p943 @p905 @p903 @p561) :args (@t268 (@list true true true) (@list @t280 @t195 @t82))) % 0.45/0.69 (step @p945 :rule chain_m_resolution :premises (@p432 @p944 @p71) :args (@t270 (@list true false) (@list @t241 @t84))) % 0.45/0.69 (step @p946 :rule chain_m_resolution :premises (@p552 @p905 @p944 @p786) :args (@t275 (@list true true false) (@list @t280 @t241 @t103))) % 0.45/0.69 (step @p947 false :rule chain_m_resolution :premises (@p437 @p946 @p945) :args (false (@list false true) (@list @t275 @t269))) % 0.45/0.69 ) % 0.45/0.69 % SZS output end Proof % 0.45/0.69 % cvc5 exiting %------------------------------------------------------------------------------