%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL943^24 : TPTP v9.3.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:24:13 AM UTC 2026 % Result : Theorem 0.29s 0.57s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL943^24 : TPTP v9.3.1. Released v8.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % Computer : n017.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Sat Sep 5 05:39:36 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.44 %----Proving TH0 % 0.29/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.29/0.57 % SZS status Theorem % 0.29/0.57 % SZS output start Proof % 0.29/0.57 ( % 0.29/0.57 (declare-sort tptp.mworld 0) % 0.29/0.57 (declare-const tptp.mactual tptp.mworld) % 0.29/0.57 (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool)) % 0.29/0.57 (declare-const tptp.q (-> tptp.mworld Bool)) % 0.29/0.57 (declare-const tptp.p (-> tptp.mworld Bool)) % 0.29/0.57 (declare-const tptp.r (-> tptp.mworld Bool)) % 0.29/0.57 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 0.29/0.57 (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)))))) % 0.29/0.57 (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))))))) % 0.29/0.57 (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))))))) % 0.29/0.57 (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))))))) % 0.29/0.57 (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))))))) % 0.29/0.57 (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)))))))) % 0.29/0.57 (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)))))))) % 0.29/0.57 (define @t1 () (@var "V" tptp.mworld)) % 0.29/0.57 (define @t2 () (@var "W" tptp.mworld)) % 0.29/0.57 (define @t3 () (_ (_ tptp.mrel @t2) @t1)) % 0.29/0.57 (define @t4 () (@list @t2 @t1)) % 0.29/0.57 (define @t5 () (forall @t4 @t3)) % 0.29/0.57 (define @t6 () (_ tptp.mbox tptp.r)) % 0.29/0.57 (define @t7 () (_ tptp.mbox tptp.q)) % 0.29/0.57 (define @t8 () (_ tptp.mor (_ tptp.mbox tptp.p))) % 0.29/0.57 (define @t9 () (not (_ tptp.mlocal (_ tptp.mbox (_ (_ tptp.mimplies (_ tptp.mbox (_ (_ tptp.mimplies (_ @t8 @t7)) (_ @t8 @t6)))) (_ @t8 (_ tptp.mbox (_ (_ tptp.mimplies @t7) @t6)))))))) % 0.29/0.57 (define @t10 () (@var "Phi" (-> tptp.mworld Bool))) % 0.29/0.57 (define @t11 () (lambda (@list @t10) (_ @t10 tptp.mactual))) % 0.29/0.57 (define @t12 () (@var "A" (-> tptp.mworld Bool))) % 0.29/0.57 (define @t13 () (_ @t12 @t2)) % 0.29/0.57 (define @t14 () (lambda (@list @t12 @t2) (not @t13))) % 0.29/0.57 (define @t15 () (@var "B" (-> tptp.mworld Bool))) % 0.29/0.57 (define @t16 () (_ @t15 @t2)) % 0.29/0.57 (define @t17 () (@list @t12 @t15 @t2)) % 0.29/0.57 (define @t18 () (lambda @t17 (and @t13 @t16))) % 0.29/0.57 (define @t19 () (lambda @t17 (or @t13 @t16))) % 0.29/0.57 (define @t20 () (lambda @t17 (=> @t13 @t16))) % 0.29/0.57 (define @t21 () (lambda @t17 (= @t13 @t16))) % 0.29/0.57 (define @t22 () (_ @t10 @t1)) % 0.29/0.57 (define @t23 () (@list @t1)) % 0.29/0.57 (define @t24 () (forall @t23 (=> @t3 @t22))) % 0.29/0.57 (define @t25 () (@list @t10 @t2)) % 0.29/0.57 (define @t26 () (lambda @t25 @t24)) % 0.29/0.57 (define @t27 () (lambda @t25 (exists @t23 (and @t3 @t22)))) % 0.29/0.57 (define @t28 () (tptp.mrel @t2 @t1)) % 0.29/0.57 (define @t29 () (@var "BOUND_VARIABLE_7850" tptp.mworld)) % 0.29/0.57 (define @t30 () (tptp.r @t29)) % 0.29/0.57 (define @t31 () (@var "BOUND_VARIABLE_7848" tptp.mworld)) % 0.29/0.57 (define @t32 () (not (tptp.mrel @t31 @t29))) % 0.29/0.57 (define @t33 () (@var "BOUND_VARIABLE_7719" tptp.mworld)) % 0.29/0.57 (define @t34 () (tptp.q @t33)) % 0.29/0.57 (define @t35 () (@list @t33)) % 0.29/0.57 (define @t36 () (not (forall @t35 (or (not (tptp.mrel @t31 @t33)) @t34)))) % 0.29/0.57 (define @t37 () (not (tptp.mrel @t1 @t31))) % 0.29/0.57 (define @t38 () (@var "BOUND_VARIABLE_7842" tptp.mworld)) % 0.29/0.57 (define @t39 () (tptp.p @t38)) % 0.29/0.57 (define @t40 () (not (tptp.mrel @t1 @t38))) % 0.29/0.57 (define @t41 () (@var "BOUND_VARIABLE_7676" tptp.mworld)) % 0.29/0.57 (define @t42 () (tptp.r @t41)) % 0.29/0.57 (define @t43 () (@var "BOUND_VARIABLE_7797" tptp.mworld)) % 0.29/0.57 (define @t44 () (not (tptp.mrel @t43 @t41))) % 0.29/0.57 (define @t45 () (@var "BOUND_VARIABLE_7670" tptp.mworld)) % 0.29/0.57 (define @t46 () (tptp.p @t45)) % 0.29/0.57 (define @t47 () (not (tptp.mrel @t43 @t45))) % 0.29/0.57 (define @t48 () (@var "BOUND_VARIABLE_7634" tptp.mworld)) % 0.29/0.57 (define @t49 () (tptp.q @t48)) % 0.29/0.57 (define @t50 () (@list @t48)) % 0.29/0.57 (define @t51 () (@var "BOUND_VARIABLE_7625" tptp.mworld)) % 0.29/0.57 (define @t52 () (tptp.p @t51)) % 0.29/0.57 (define @t53 () (@list @t51)) % 0.29/0.57 (define @t54 () (and (not (forall @t53 (or (not (tptp.mrel @t43 @t51)) @t52))) (not (forall @t50 (or (not (tptp.mrel @t43 @t48)) @t49))))) % 0.29/0.57 (define @t55 () (@list @t43 @t45 @t41)) % 0.29/0.57 (define @t56 () (forall @t55 (or (not (tptp.mrel @t1 @t43)) @t54 @t47 @t46 @t44 @t42))) % 0.29/0.57 (define @t57 () (not @t56)) % 0.29/0.57 (define @t58 () (@list @t1 @t38 @t31 @t29)) % 0.29/0.57 (define @t59 () (forall @t58 (or (not (tptp.mrel tptp.mactual @t1)) @t57 @t40 @t39 @t37 @t36 @t32 @t30))) % 0.29/0.57 (define @t60 () (not @t28)) % 0.29/0.57 (define @t61 () (or @t60 @t57 @t40 @t39 @t37 @t36 @t32 @t30)) % 0.29/0.57 (define @t62 () (@list @t2)) % 0.29/0.57 (define @t63 () (lambda @t62 (forall @t58 @t61))) % 0.29/0.57 (define @t64 () (_ @t63 tptp.mactual)) % 0.29/0.57 (define @t65 () (or @t37 @t36 @t32 @t30)) % 0.29/0.57 (define @t66 () (or @t40 @t39)) % 0.29/0.57 (define @t67 () (or @t60 @t57 @t66 @t65)) % 0.29/0.57 (define @t68 () (forall @t58 @t67)) % 0.29/0.57 (define @t69 () (forall (@list @t38 @t31 @t29) @t67)) % 0.29/0.57 (define @t70 () (forall (@list @t31 @t29) @t65)) % 0.29/0.57 (define @t71 () (@var "BOUND_VARIABLE_7745" tptp.mworld)) % 0.29/0.57 (define @t72 () (@var "BOUND_VARIABLE_7774" tptp.mworld)) % 0.29/0.57 (define @t73 () (forall (@list @t38) @t66)) % 0.29/0.57 (define @t74 () (@var "BOUND_VARIABLE_7788" tptp.mworld)) % 0.29/0.57 (define @t75 () (@list @t74)) % 0.29/0.57 (define @t76 () (or @t60 @t57 @t73 @t70)) % 0.29/0.57 (define @t77 () (tptp.r @t71)) % 0.29/0.57 (define @t78 () (not (tptp.mrel @t72 @t71))) % 0.29/0.57 (define @t79 () (not (forall @t35 (or (not (tptp.mrel @t72 @t33)) @t34)))) % 0.29/0.57 (define @t80 () (@list @t72 @t71)) % 0.29/0.57 (define @t81 () (forall @t80 (or (not (tptp.mrel @t1 @t72)) @t79 @t78 @t77))) % 0.29/0.57 (define @t82 () (tptp.p @t74)) % 0.29/0.57 (define @t83 () (@list @t74)) % 0.29/0.57 (define @t84 () (forall @t83 (or (not (tptp.mrel @t1 @t74)) @t82))) % 0.29/0.57 (define @t85 () (or @t60 @t57 @t84 @t81)) % 0.29/0.57 (define @t86 () (or @t57 @t84 @t81)) % 0.29/0.57 (define @t87 () (or @t84 @t81)) % 0.29/0.57 (define @t88 () (=> @t56 @t87)) % 0.29/0.57 (define @t89 () (or @t60 @t88)) % 0.29/0.57 (define @t90 () (not (tptp.mrel @t1 @t71))) % 0.29/0.57 (define @t91 () (forall @t35 (or (not (tptp.mrel @t1 @t33)) @t34))) % 0.29/0.57 (define @t92 () (not @t91)) % 0.29/0.57 (define @t93 () (or @t60 @t92 @t90 @t77)) % 0.29/0.57 (define @t94 () (@list @t1 @t71)) % 0.29/0.57 (define @t95 () (forall @t94 @t93)) % 0.29/0.57 (define @t96 () (@list @t1)) % 0.29/0.57 (define @t97 () (forall @t23 (or @t60 (tptp.p @t1)))) % 0.29/0.57 (define @t98 () (or @t97 @t95)) % 0.29/0.57 (define @t99 () (not (tptp.mrel @t1 @t41))) % 0.29/0.57 (define @t100 () (not (tptp.mrel @t1 @t45))) % 0.29/0.57 (define @t101 () (forall @t50 (or (not (tptp.mrel @t1 @t48)) @t49))) % 0.29/0.57 (define @t102 () (forall @t53 (or (not (tptp.mrel @t1 @t51)) @t52))) % 0.29/0.57 (define @t103 () (and (not @t102) (not @t101))) % 0.29/0.57 (define @t104 () (or @t60 @t103 @t100 @t46 @t99 @t42)) % 0.29/0.57 (define @t105 () (@list @t1 @t45 @t41)) % 0.29/0.57 (define @t106 () (forall @t105 @t104)) % 0.29/0.57 (define @t107 () (=> @t106 @t98)) % 0.29/0.57 (define @t108 () (lambda @t62 @t107)) % 0.29/0.57 (define @t109 () (or @t60 (_ @t108 @t1))) % 0.29/0.57 (define @t110 () (forall @t23 @t109)) % 0.29/0.57 (define @t111 () (lambda @t62 @t110)) % 0.29/0.57 (define @t112 () (_ @t10 @t1)) % 0.29/0.57 (define @t113 () (lambda @t25 (forall @t23 (or @t60 @t112)))) % 0.29/0.57 (define @t114 () (lambda @t62 @t98)) % 0.29/0.57 (define @t115 () (_ @t114 @t2)) % 0.29/0.57 (define @t116 () (=> @t106 @t115)) % 0.29/0.57 (define @t117 () (lambda @t62 @t116)) % 0.29/0.57 (define @t118 () (@list @t15 @t2)) % 0.29/0.57 (define @t119 () (lambda @t62 @t95)) % 0.29/0.57 (define @t120 () (_ @t119 @t2)) % 0.29/0.57 (define @t121 () (or @t97 @t120)) % 0.29/0.57 (define @t122 () (lambda @t62 @t121)) % 0.29/0.57 (define @t123 () (lambda @t118 (or @t97 @t16))) % 0.29/0.57 (define @t124 () (or @t90 @t77)) % 0.29/0.57 (define @t125 () (or @t60 @t92 @t124)) % 0.29/0.57 (define @t126 () (forall @t94 @t125)) % 0.29/0.57 (define @t127 () (@list @t71)) % 0.29/0.57 (define @t128 () (forall @t127 @t125)) % 0.29/0.57 (define @t129 () (forall @t127 @t124)) % 0.29/0.57 (define @t130 () (@var "BOUND_VARIABLE_7711" tptp.mworld)) % 0.29/0.57 (define @t131 () (@list @t130)) % 0.29/0.57 (define @t132 () (or @t60 @t92 @t129)) % 0.29/0.57 (define @t133 () (tptp.r @t130)) % 0.29/0.57 (define @t134 () (@list @t130)) % 0.29/0.57 (define @t135 () (forall @t134 (or (not (tptp.mrel @t1 @t130)) @t133))) % 0.29/0.57 (define @t136 () (or @t60 @t92 @t135)) % 0.29/0.57 (define @t137 () (=> @t91 @t135)) % 0.29/0.57 (define @t138 () (or @t60 @t137)) % 0.29/0.57 (define @t139 () (forall @t23 (or @t60 (tptp.r @t1)))) % 0.29/0.57 (define @t140 () (forall @t23 (or @t60 (tptp.q @t1)))) % 0.29/0.57 (define @t141 () (@list @t33)) % 0.29/0.57 (define @t142 () (=> @t140 @t139)) % 0.29/0.57 (define @t143 () (lambda @t62 @t142)) % 0.29/0.57 (define @t144 () (or @t60 (_ @t143 @t1))) % 0.29/0.57 (define @t145 () (forall @t23 @t144)) % 0.29/0.57 (define @t146 () (lambda @t62 @t145)) % 0.29/0.57 (define @t147 () (lambda @t62 @t139)) % 0.29/0.57 (define @t148 () (_ @t147 @t2)) % 0.29/0.57 (define @t149 () (=> @t140 @t148)) % 0.29/0.57 (define @t150 () (lambda @t62 @t149)) % 0.29/0.57 (define @t151 () (_ @t113 tptp.r)) % 0.29/0.57 (define @t152 () (lambda @t62 @t140)) % 0.29/0.57 (define @t153 () (_ @t152 @t2)) % 0.29/0.57 (define @t154 () (=> @t153 @t16)) % 0.29/0.57 (define @t155 () (lambda @t118 @t154)) % 0.29/0.57 (define @t156 () (_ @t113 tptp.q)) % 0.29/0.57 (define @t157 () (lambda @t62 @t97)) % 0.29/0.57 (define @t158 () (_ @t157 @t2)) % 0.29/0.57 (define @t159 () (or @t158 @t16)) % 0.29/0.57 (define @t160 () (lambda @t118 @t159)) % 0.29/0.57 (define @t161 () (_ @t113 tptp.p)) % 0.29/0.57 (define @t162 () (lambda @t62 @t106)) % 0.29/0.57 (define @t163 () (_ @t162 @t2)) % 0.29/0.57 (define @t164 () (=> @t163 @t16)) % 0.29/0.57 (define @t165 () (lambda @t118 @t164)) % 0.29/0.57 (define @t166 () (or @t99 @t42)) % 0.29/0.57 (define @t167 () (or @t100 @t46)) % 0.29/0.57 (define @t168 () (or @t60 @t103 @t167 @t166)) % 0.29/0.57 (define @t169 () (forall @t105 @t168)) % 0.29/0.57 (define @t170 () (forall (@list @t45 @t41) @t168)) % 0.29/0.57 (define @t171 () (forall (@list @t41) @t166)) % 0.29/0.57 (define @t172 () (@var "BOUND_VARIABLE_7617" tptp.mworld)) % 0.29/0.57 (define @t173 () (@list @t172)) % 0.29/0.57 (define @t174 () (forall (@list @t45) @t167)) % 0.29/0.57 (define @t175 () (@list @t51)) % 0.29/0.57 (define @t176 () (or @t60 @t103 @t174 @t171)) % 0.29/0.57 (define @t177 () (tptp.r @t172)) % 0.29/0.57 (define @t178 () (@list @t172)) % 0.29/0.57 (define @t179 () (forall @t178 (or (not (tptp.mrel @t1 @t172)) @t177))) % 0.29/0.57 (define @t180 () (or @t60 @t103 @t102 @t179)) % 0.29/0.57 (define @t181 () (or @t103 @t102 @t179)) % 0.29/0.57 (define @t182 () (or @t102 @t179)) % 0.29/0.57 (define @t183 () (or @t102 @t101)) % 0.29/0.57 (define @t184 () (=> @t183 @t182)) % 0.29/0.57 (define @t185 () (or @t60 @t184)) % 0.29/0.57 (define @t186 () (forall @t53 (or (not (tptp.mrel @t2 @t51)) @t52))) % 0.29/0.57 (define @t187 () (or @t97 @t139)) % 0.29/0.57 (define @t188 () (@list @t48)) % 0.29/0.57 (define @t189 () (or @t97 @t140)) % 0.29/0.57 (define @t190 () (=> @t189 @t187)) % 0.29/0.57 (define @t191 () (lambda @t62 @t190)) % 0.29/0.57 (define @t192 () (or @t60 (_ @t191 @t1))) % 0.29/0.57 (define @t193 () (forall @t23 @t192)) % 0.29/0.57 (define @t194 () (lambda @t62 @t193)) % 0.29/0.57 (define @t195 () (lambda @t62 @t187)) % 0.29/0.57 (define @t196 () (_ @t195 @t2)) % 0.29/0.57 (define @t197 () (=> @t189 @t196)) % 0.29/0.57 (define @t198 () (lambda @t62 @t197)) % 0.29/0.57 (define @t199 () (or @t97 @t148)) % 0.29/0.57 (define @t200 () (lambda @t62 @t199)) % 0.29/0.57 (define @t201 () (lambda @t62 @t189)) % 0.29/0.57 (define @t202 () (_ @t201 @t2)) % 0.29/0.57 (define @t203 () (=> @t202 @t16)) % 0.29/0.57 (define @t204 () (lambda @t118 @t203)) % 0.29/0.57 (define @t205 () (or @t97 @t153)) % 0.29/0.57 (define @t206 () (lambda @t62 @t205)) % 0.29/0.57 (define @t207 () (_ @t19 @t161)) % 0.29/0.57 (define @t208 () (not @t3)) % 0.29/0.57 (define @t209 () (or @t208 @t22)) % 0.29/0.57 (define @t210 () (@quantifiers_skolemize @t59 0)) % 0.29/0.57 (define @t211 () (forall @t55 (or (not (tptp.mrel @t210 @t43)) @t54 @t47 @t46 @t44 @t42))) % 0.29/0.57 (define @t212 () (@quantifiers_skolemize @t59 3)) % 0.29/0.57 (define @t213 () (tptp.r @t212)) % 0.29/0.57 (define @t214 () (@quantifiers_skolemize @t59 2)) % 0.29/0.57 (define @t215 () (tptp.mrel @t214 @t212)) % 0.29/0.57 (define @t216 () (not @t215)) % 0.29/0.57 (define @t217 () (forall @t35 (or (not (tptp.mrel @t214 @t33)) @t34))) % 0.29/0.57 (define @t218 () (not @t217)) % 0.29/0.57 (define @t219 () (tptp.mrel @t210 @t214)) % 0.29/0.57 (define @t220 () (not @t219)) % 0.29/0.57 (define @t221 () (@quantifiers_skolemize @t59 1)) % 0.29/0.57 (define @t222 () (tptp.p @t221)) % 0.29/0.57 (define @t223 () (not @t211)) % 0.29/0.57 (define @t224 () (or (not (tptp.mrel tptp.mactual @t210)) @t223 (not (tptp.mrel @t210 @t221)) @t222 @t220 @t218 @t216 @t213)) % 0.29/0.57 (define @t225 () (@list true)) % 0.29/0.57 (define @t226 () (@list @t224)) % 0.29/0.57 (define @t227 () (forall @t50 (or (not (tptp.mrel @t214 @t48)) @t49))) % 0.29/0.57 (define @t228 () (@list false)) % 0.29/0.57 (define @t229 () (not @t227)) % 0.29/0.57 (define @t230 () (and (not (forall @t53 (or (not (tptp.mrel @t214 @t51)) @t52))) @t229)) % 0.29/0.57 (define @t231 () (not @t230)) % 0.29/0.57 (define @t232 () (tptp.mrel @t214 @t221)) % 0.29/0.57 (define @t233 () (not @t232)) % 0.29/0.57 (define @t234 () (or @t220 @t230 @t233 @t222 @t216 @t213)) % 0.29/0.57 (define @t235 () (forall @t4 @t28)) % 0.29/0.57 (assume @p1 @t5) % 0.29/0.57 (assume @p2 @t9) % 0.29/0.57 (assume @p3 true) % 0.29/0.57 (step @p4 (= tptp.mlocal @t11) :rule refl :args (@t11)) % 0.29/0.57 (step @p5 (= tptp.mnot @t14) :rule refl :args (@t14)) % 0.29/0.57 (step @p6 (= tptp.mand @t18) :rule refl :args (@t18)) % 0.29/0.57 (step @p7 (= tptp.mor @t19) :rule refl :args (@t19)) % 0.29/0.57 (step @p8 (= tptp.mimplies @t20) :rule refl :args (@t20)) % 0.29/0.57 (step @p9 (= tptp.mequiv @t21) :rule refl :args (@t21)) % 0.29/0.57 (step @p10 (= tptp.mbox @t26) :rule refl :args (@t26)) % 0.29/0.57 (step @p11 (= tptp.mdia @t27) :rule refl :args (@t27)) % 0.29/0.57 (step @p12 :rule refl :args (@t28)) % 0.29/0.57 (step @p13 :rule refl :args (@t3)) % 0.29/0.57 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t3 @t28))) % 0.29/0.57 (step @p15 :rule symm :premises (@p14)) % 0.29/0.57 (step @p16 :rule eq_resolve :premises (@p13 @p15)) % 0.29/0.57 (step @p17 :rule cong :premises (@p16) :args (@t5)) % 0.29/0.57 (step @p18 :rule eq_resolve :premises (@p1 @p17)) % 0.29/0.57 (step @p19 :rule beta-reduce :args ((= @t64 @t59))) % 0.29/0.57 (step @p20 :rule beta-reduce :args ((= (_ @t11 @t63) @t64))) % 0.29/0.57 (step @p21 :rule trans :premises (@p20 @p19)) % 0.29/0.57 (step @p22 :rule aci_norm :args ((= @t67 @t61))) % 0.29/0.57 (step @p23 :rule cong :premises (@p22) :args (@t68)) % 0.29/0.57 (step @p24 :rule quant-merge-prenex :args ((= (forall @t23 @t69) @t68))) % 0.29/0.57 (step @p25 :rule alpha_equiv :args (@t70 (@list @t31 @t29) (@list @t72 @t71))) % 0.29/0.57 (step @p26 :rule alpha_equiv :args (@t73 (@list @t38) @t75)) % 0.29/0.57 (step @p27 :rule refl :args (@t57)) % 0.29/0.57 (step @p28 :rule refl :args (@t60)) % 0.29/0.57 (step @p29 :rule nary_cong :premises (@p28 @p27 @p26 @p25) :args (@t76)) % 0.29/0.57 (step @p30 :rule quant-miniscope-or :args ((= @t69 @t76))) % 0.29/0.57 (step @p31 :rule trans :premises (@p30 @p29)) % 0.29/0.57 (step @p32 :rule symm :premises (@p31)) % 0.29/0.57 (step @p33 :rule cong :premises (@p32) :args ((forall @t23 @t85))) % 0.29/0.57 (step @p34 :rule trans :premises (@p33 @p24)) % 0.29/0.57 (step @p35 :rule trans :premises (@p34 @p23)) % 0.29/0.57 (step @p36 :rule aci_norm :args ((= (or @t60 @t86) @t85))) % 0.29/0.57 (step @p37 :rule aci_norm :args ((= (or @t57 @t87) @t86))) % 0.29/0.57 (step @p38 :rule bool-impl-elim :args (@t56 @t87)) % 0.29/0.57 (step @p39 :rule trans :premises (@p38 @p37)) % 0.29/0.57 (step @p40 :rule nary_cong :premises (@p28 @p39) :args (@t89)) % 0.29/0.57 (step @p41 :rule trans :premises (@p40 @p36)) % 0.29/0.57 (step @p42 :rule cong :premises (@p41) :args ((forall @t23 @t89))) % 0.29/0.57 (step @p43 :rule trans :premises (@p42 @p35)) % 0.29/0.57 (step @p44 :rule beta-reduce :args ((= (_ (lambda @t62 (=> (forall @t55 (or (not (tptp.mrel @t2 @t43)) @t54 @t47 @t46 @t44 @t42)) (or (forall @t83 (or (not (tptp.mrel @t2 @t74)) @t82)) (forall @t80 (or (not (tptp.mrel @t2 @t72)) @t79 @t78 @t77))))) @t1) @t88))) % 0.29/0.57 (step @p45 :rule refl :args (@t1)) % 0.29/0.57 (step @p46 :rule alpha_equiv :args (@t95 @t96 (@list @t72))) % 0.29/0.57 (step @p47 :rule alpha_equiv :args (@t97 @t96 @t75)) % 0.29/0.57 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t98)) % 0.29/0.57 (step @p49 :rule alpha_equiv :args (@t106 @t96 (@list @t43))) % 0.29/0.57 (step @p50 :rule cong :premises (@p49 @p48) :args (@t107)) % 0.29/0.57 (step @p51 :rule cong :premises (@p50) :args (@t108)) % 0.29/0.57 (step @p52 :rule ho_cong :premises (@p51 @p45)) % 0.29/0.57 (step @p53 :rule trans :premises (@p52 @p44)) % 0.29/0.57 (step @p54 :rule refl :args (@t60)) % 0.29/0.57 (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t109)) % 0.29/0.57 (step @p56 :rule cong :premises (@p55) :args (@t110)) % 0.29/0.57 (step @p57 :rule trans :premises (@p56 @p43)) % 0.29/0.57 (step @p58 :rule cong :premises (@p57) :args (@t111)) % 0.29/0.57 (step @p59 :rule beta-reduce :args ((= (_ @t113 @t108) @t111))) % 0.29/0.57 (step @p60 :rule trans :premises (@p59 @p58)) % 0.29/0.57 (step @p61 :rule beta-reduce :args ((= @t115 @t98))) % 0.29/0.57 (step @p62 :rule refl :args (@t106)) % 0.29/0.57 (step @p63 :rule cong :premises (@p62 @p61) :args (@t116)) % 0.29/0.57 (step @p64 :rule cong :premises (@p63) :args (@t117)) % 0.29/0.57 (step @p65 :rule beta-reduce :args ((= (_ (lambda @t118 (=> @t106 @t16)) @t114) @t117))) % 0.29/0.57 (step @p66 :rule trans :premises (@p65 @p64)) % 0.29/0.57 (step @p67 :rule beta-reduce :args ((= @t120 @t95))) % 0.29/0.57 (step @p68 :rule refl :args (@t97)) % 0.29/0.57 (step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t121)) % 0.29/0.57 (step @p70 :rule cong :premises (@p69) :args (@t122)) % 0.29/0.57 (step @p71 :rule beta-reduce :args ((= (_ @t123 @t119) @t122))) % 0.29/0.57 (step @p72 :rule trans :premises (@p71 @p70)) % 0.29/0.57 (step @p73 :rule aci_norm :args ((= @t125 @t93))) % 0.29/0.57 (step @p74 :rule cong :premises (@p73) :args (@t126)) % 0.29/0.57 (step @p75 :rule quant-merge-prenex :args ((= (forall @t23 @t128) @t126))) % 0.29/0.57 (step @p76 :rule alpha_equiv :args (@t129 (@list @t71) @t131)) % 0.29/0.57 (step @p77 :rule refl :args (@t92)) % 0.29/0.57 (step @p78 :rule nary_cong :premises (@p28 @p77 @p76) :args (@t132)) % 0.29/0.57 (step @p79 :rule quant-miniscope-or :args ((= @t128 @t132))) % 0.29/0.57 (step @p80 :rule trans :premises (@p79 @p78)) % 0.29/0.57 (step @p81 :rule symm :premises (@p80)) % 0.29/0.57 (step @p82 :rule cong :premises (@p81) :args ((forall @t23 @t136))) % 0.29/0.57 (step @p83 :rule trans :premises (@p82 @p75)) % 0.29/0.57 (step @p84 :rule trans :premises (@p83 @p74)) % 0.29/0.57 (step @p85 :rule aci_norm :args ((= (or @t60 (or @t92 @t135)) @t136))) % 0.29/0.57 (step @p86 :rule bool-impl-elim :args (@t91 @t135)) % 0.29/0.57 (step @p87 :rule nary_cong :premises (@p28 @p86) :args (@t138)) % 0.29/0.57 (step @p88 :rule trans :premises (@p87 @p85)) % 0.29/0.57 (step @p89 :rule cong :premises (@p88) :args ((forall @t23 @t138))) % 0.29/0.57 (step @p90 :rule trans :premises (@p89 @p84)) % 0.29/0.57 (step @p91 :rule beta-reduce :args ((= (_ (lambda @t62 (=> (forall @t35 (or (not (tptp.mrel @t2 @t33)) @t34)) (forall @t134 (or (not (tptp.mrel @t2 @t130)) @t133)))) @t1) @t137))) % 0.29/0.57 (step @p92 :rule alpha_equiv :args (@t139 @t96 @t131)) % 0.29/0.57 (step @p93 :rule alpha_equiv :args (@t140 @t96 @t141)) % 0.29/0.57 (step @p94 :rule cong :premises (@p93 @p92) :args (@t142)) % 0.29/0.57 (step @p95 :rule cong :premises (@p94) :args (@t143)) % 0.29/0.57 (step @p96 :rule ho_cong :premises (@p95 @p45)) % 0.29/0.57 (step @p97 :rule trans :premises (@p96 @p91)) % 0.29/0.57 (step @p98 :rule nary_cong :premises (@p54 @p97) :args (@t144)) % 0.29/0.57 (step @p99 :rule cong :premises (@p98) :args (@t145)) % 0.29/0.57 (step @p100 :rule trans :premises (@p99 @p90)) % 0.29/0.57 (step @p101 :rule cong :premises (@p100) :args (@t146)) % 0.29/0.57 (step @p102 :rule beta-reduce :args ((= (_ @t113 @t143) @t146))) % 0.29/0.57 (step @p103 :rule trans :premises (@p102 @p101)) % 0.29/0.57 (step @p104 :rule beta-reduce :args ((= @t148 @t139))) % 0.29/0.57 (step @p105 :rule refl :args (@t140)) % 0.29/0.57 (step @p106 :rule cong :premises (@p105 @p104) :args (@t149)) % 0.29/0.57 (step @p107 :rule cong :premises (@p106) :args (@t150)) % 0.29/0.57 (step @p108 :rule beta-reduce :args ((= (_ (lambda @t118 (=> @t140 @t16)) @t147) @t150))) % 0.29/0.57 (step @p109 :rule trans :premises (@p108 @p107)) % 0.29/0.57 (step @p110 :rule beta-reduce :args ((= @t151 @t147))) % 0.29/0.57 (step @p111 :rule refl :args (@t16)) % 0.29/0.57 (step @p112 :rule beta-reduce :args ((= @t153 @t140))) % 0.29/0.57 (step @p113 :rule cong :premises (@p112 @p111) :args (@t154)) % 0.29/0.57 (step @p114 :rule cong :premises (@p113) :args (@t155)) % 0.29/0.57 (step @p115 :rule beta-reduce :args ((= (_ @t20 @t152) @t155))) % 0.29/0.57 (step @p116 :rule trans :premises (@p115 @p114)) % 0.29/0.57 (step @p117 :rule 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:rule ho_cong :premises (@p132 @p131)) % 0.29/0.57 (step @p134 :rule trans :premises (@p133 @p130)) % 0.29/0.57 (step @p135 :rule ho_cong :premises (@p134 @p125)) % 0.29/0.57 (step @p136 :rule trans :premises (@p135 @p72)) % 0.29/0.57 (step @p137 :rule beta-reduce :args ((= @t163 @t106))) % 0.29/0.57 (step @p138 :rule cong :premises (@p137 @p111) :args (@t164)) % 0.29/0.57 (step @p139 :rule cong :premises (@p138) :args (@t165)) % 0.29/0.57 (step @p140 :rule beta-reduce :args ((= (_ @t20 @t162) @t165))) % 0.29/0.57 (step @p141 :rule trans :premises (@p140 @p139)) % 0.29/0.57 (step @p142 :rule aci_norm :args ((= @t168 @t104))) % 0.29/0.57 (step @p143 :rule cong :premises (@p142) :args (@t169)) % 0.29/0.57 (step @p144 :rule quant-merge-prenex :args ((= (forall @t23 @t170) @t169))) % 0.29/0.57 (step @p145 :rule alpha_equiv :args (@t171 (@list @t41) @t173)) % 0.29/0.57 (step @p146 :rule alpha_equiv :args (@t174 (@list @t45) @t175)) % 0.29/0.57 (step @p147 :rule refl :args (@t103)) % 0.29/0.57 (step @p148 :rule nary_cong :premises (@p28 @p147 @p146 @p145) :args (@t176)) % 0.29/0.57 (step @p149 :rule quant-miniscope-or :args ((= @t170 @t176))) % 0.29/0.57 (step @p150 :rule trans :premises (@p149 @p148)) % 0.29/0.57 (step @p151 :rule symm :premises (@p150)) % 0.29/0.57 (step @p152 :rule cong :premises (@p151) :args ((forall @t23 @t180))) % 0.29/0.57 (step @p153 :rule trans :premises (@p152 @p144)) % 0.29/0.57 (step @p154 :rule trans :premises (@p153 @p143)) % 0.29/0.57 (step @p155 :rule aci_norm :args ((= (or @t60 @t181) @t180))) % 0.29/0.57 (step @p156 :rule aci_norm :args ((= (or @t103 @t182) @t181))) % 0.29/0.57 (step @p157 :rule refl :args (@t182)) % 0.29/0.57 (step @p158 :rule bool-or-de-morgan :args (@t102 @t101 false)) % 0.29/0.57 (step @p159 :rule nary_cong :premises (@p158 @p157) :args ((or (not @t183) @t182))) % 0.29/0.57 (step @p160 :rule trans :premises (@p159 @p156)) % 0.29/0.57 (step @p161 :rule bool-impl-elim :args (@t183 @t182)) % 0.29/0.57 (step @p162 :rule trans :premises (@p161 @p160)) % 0.29/0.57 (step @p163 :rule nary_cong :premises (@p28 @p162) :args (@t185)) % 0.29/0.57 (step @p164 :rule trans :premises (@p163 @p155)) % 0.29/0.57 (step @p165 :rule cong :premises (@p164) :args ((forall @t23 @t185))) % 0.29/0.57 (step @p166 :rule trans :premises (@p165 @p154)) % 0.29/0.57 (step @p167 :rule beta-reduce :args ((= (_ (lambda @t62 (=> (or @t186 (forall @t50 (or (not (tptp.mrel @t2 @t48)) @t49))) (or @t186 (forall @t178 (or (not (tptp.mrel @t2 @t172)) @t177))))) @t1) @t184))) % 0.29/0.57 (step @p168 :rule alpha_equiv :args (@t139 @t96 @t173)) % 0.29/0.57 (step @p169 :rule alpha_equiv :args (@t97 @t96 @t175)) % 0.29/0.57 (step @p170 :rule nary_cong :premises (@p169 @p168) :args (@t187)) % 0.29/0.57 (step @p171 :rule alpha_equiv :args (@t140 @t96 @t188)) % 0.29/0.57 (step @p172 :rule nary_cong :premises (@p169 @p171) :args (@t189)) % 0.29/0.57 (step @p173 :rule cong :premises (@p172 @p170) :args (@t190)) % 0.29/0.57 (step @p174 :rule cong :premises (@p173) :args (@t191)) % 0.29/0.57 (step @p175 :rule ho_cong :premises (@p174 @p45)) % 0.29/0.57 (step @p176 :rule trans :premises (@p175 @p167)) % 0.29/0.57 (step @p177 :rule nary_cong :premises (@p54 @p176) :args (@t192)) % 0.29/0.57 (step @p178 :rule cong :premises (@p177) :args (@t193)) % 0.29/0.57 (step @p179 :rule trans :premises (@p178 @p166)) % 0.29/0.57 (step @p180 :rule cong :premises (@p179) :args (@t194)) % 0.29/0.57 (step @p181 :rule beta-reduce :args ((= (_ @t113 @t191) @t194))) % 0.29/0.57 (step @p182 :rule trans :premises (@p181 @p180)) % 0.29/0.57 (step @p183 :rule beta-reduce :args ((= @t196 @t187))) % 0.29/0.57 (step @p184 :rule refl :args (@t189)) % 0.29/0.57 (step @p185 :rule cong :premises (@p184 @p183) :args (@t197)) % 0.29/0.57 (step @p186 :rule cong :premises (@p185) :args (@t198)) % 0.29/0.57 (step @p187 :rule beta-reduce :args ((= (_ (lambda @t118 (=> @t189 @t16)) @t195) @t198))) % 0.29/0.57 (step @p188 :rule trans :premises (@p187 @p186)) % 0.29/0.57 (step @p189 :rule nary_cong :premises (@p68 @p104) :args (@t199)) % 0.29/0.57 (step @p190 :rule cong :premises (@p189) :args (@t200)) % 0.29/0.57 (step @p191 :rule beta-reduce :args ((= (_ @t123 @t147) @t200))) % 0.29/0.57 (step @p192 :rule trans :premises (@p191 @p190)) % 0.29/0.57 (step @p193 :rule ho_cong :premises (@p134 @p110)) % 0.29/0.57 (step @p194 :rule trans :premises (@p193 @p192)) % 0.29/0.57 (step @p195 :rule beta-reduce :args ((= @t202 @t189))) % 0.29/0.57 (step @p196 :rule cong :premises (@p195 @p111) :args (@t203)) % 0.29/0.57 (step @p197 :rule cong :premises (@p196) :args (@t204)) % 0.29/0.57 (step @p198 :rule beta-reduce :args ((= (_ @t20 @t201) @t204))) % 0.29/0.57 (step @p199 :rule trans :premises (@p198 @p197)) % 0.29/0.57 (step @p200 :rule nary_cong :premises (@p68 @p112) :args (@t205)) % 0.29/0.57 (step @p201 :rule cong :premises (@p200) :args (@t206)) % 0.29/0.57 (step @p202 :rule beta-reduce :args ((= (_ @t123 @t152) @t206))) % 0.29/0.57 (step @p203 :rule trans :premises (@p202 @p201)) % 0.29/0.57 (step @p204 :rule ho_cong :premises (@p134 @p117)) % 0.29/0.57 (step @p205 :rule trans :premises (@p204 @p203)) % 0.29/0.57 (step @p206 :rule ho_cong :premises (@p118 @p205)) % 0.29/0.57 (step @p207 :rule trans :premises (@p206 @p199)) % 0.29/0.57 (step @p208 :rule ho_cong :premises (@p207 @p194)) % 0.29/0.57 (step @p209 :rule trans :premises (@p208 @p188)) % 0.29/0.57 (step @p210 :rule ho_cong :premises (@p123 @p209)) % 0.29/0.57 (step @p211 :rule trans :premises (@p210 @p182)) % 0.29/0.57 (step @p212 :rule ho_cong :premises (@p118 @p211)) % 0.29/0.57 (step @p213 :rule trans :premises (@p212 @p141)) % 0.29/0.57 (step @p214 :rule ho_cong :premises (@p213 @p136)) % 0.29/0.57 (step @p215 :rule trans :premises (@p214 @p66)) % 0.29/0.57 (step @p216 :rule ho_cong :premises (@p123 @p215)) % 0.29/0.57 (step @p217 :rule trans :premises (@p216 @p60)) % 0.29/0.57 (step @p218 :rule refl :args (@t11)) % 0.29/0.57 (step @p219 :rule ho_cong :premises (@p218 @p217)) % 0.29/0.57 (step @p220 :rule trans :premises (@p219 @p21)) % 0.29/0.57 (step @p221 :rule cong :premises (@p220) :args ((not (_ @t11 (_ @t113 (_ (_ @t20 (_ @t113 (_ (_ @t20 (_ @t207 @t156)) (_ @t207 @t151)))) (_ @t207 (_ @t113 (_ (_ @t20 @t156) @t151))))))))) % 0.29/0.57 (step @p222 :rule refl :args (tptp.r)) % 0.29/0.57 (step @p223 :rule refl :args (@t112)) % 0.29/0.57 (step @p224 :rule refl :args (@t22)) % 0.29/0.57 (step @p225 :rule cong :premises (@p224 @p223) :args ((= @t22 @t112))) % 0.29/0.57 (step @p226 :rule symm :premises (@p225)) % 0.29/0.57 (step @p227 :rule eq_resolve :premises (@p224 @p226)) % 0.29/0.57 (step @p228 :rule cong :premises (@p16) :args (@t208)) % 0.29/0.57 (step @p229 :rule nary_cong :premises (@p228 @p227) :args (@t209)) % 0.29/0.57 (step @p230 :rule cong :premises (@p229) :args ((forall @t23 @t209))) % 0.29/0.57 (step @p231 :rule bool-impl-elim :args (@t3 @t22)) % 0.29/0.57 (step @p232 :rule cong :premises (@p231) :args (@t24)) % 0.29/0.57 (step @p233 :rule trans :premises (@p232 @p230)) % 0.29/0.57 (step @p234 :rule cong :premises (@p233) :args (@t26)) % 0.29/0.57 (step @p235 :rule trans :premises (@p10 @p234)) % 0.29/0.57 (step @p236 :rule ho_cong :premises (@p235 @p222)) % 0.29/0.57 (step @p237 :rule refl :args (tptp.q)) % 0.29/0.57 (step @p238 :rule ho_cong :premises (@p235 @p237)) % 0.29/0.57 (step @p239 :rule ho_cong :premises (@p8 @p238)) % 0.29/0.57 (step @p240 :rule ho_cong :premises (@p239 @p236)) % 0.29/0.57 (step @p241 :rule ho_cong :premises (@p235 @p240)) % 0.29/0.57 (step @p242 :rule refl :args (tptp.p)) % 0.29/0.57 (step @p243 :rule ho_cong :premises (@p235 @p242)) % 0.29/0.57 (step @p244 :rule ho_cong :premises (@p7 @p243)) % 0.29/0.57 (step @p245 :rule ho_cong :premises (@p244 @p241)) % 0.29/0.57 (step @p246 :rule ho_cong :premises (@p244 @p236)) % 0.29/0.57 (step @p247 :rule ho_cong :premises (@p244 @p238)) % 0.29/0.57 (step @p248 :rule ho_cong :premises (@p8 @p247)) % 0.29/0.57 (step @p249 :rule ho_cong :premises (@p248 @p246)) % 0.29/0.57 (step @p250 :rule ho_cong :premises (@p235 @p249)) % 0.29/0.57 (step @p251 :rule ho_cong :premises (@p8 @p250)) % 0.29/0.57 (step @p252 :rule ho_cong :premises (@p251 @p245)) % 0.29/0.57 (step @p253 :rule ho_cong :premises (@p235 @p252)) % 0.29/0.57 (step @p254 :rule ho_cong :premises (@p4 @p253)) % 0.29/0.57 (step @p255 :rule cong :premises (@p254) :args (@t9)) % 0.29/0.57 (step @p256 :rule trans :premises (@p255 @p221)) % 0.29/0.57 (step @p257 :rule eq_resolve :premises (@p2 @p256)) % 0.29/0.57 (step @p258 :rule skolemize :premises (@p257)) % 0.29/0.57 (step @p259 :rule bool-double-not-elim :args (@t211)) % 0.29/0.57 (step @p260 :rule refl :args (@t224)) % 0.29/0.57 (step @p261 :rule nary_cong :premises (@p260 @p259) :args ((or @t224 (not @t223)))) % 0.29/0.57 (step @p262 :rule cnf_or_neg :args (@t224 1)) % 0.29/0.57 (step @p263 :rule eq_resolve :premises (@p262 @p261)) % 0.29/0.57 (step @p264 :rule reordering :premises (@p263) :args ((or @t211 @t224))) % 0.29/0.57 (step @p265 :rule chain_m_resolution :premises (@p264 @p258) :args (@t211 @t225 @t226)) % 0.29/0.57 (step @p266 :rule instantiate :premises (@p265) :args ((@list @t214 @t221 @t212))) % 0.29/0.57 (step @p267 :rule bool-double-not-elim :args (@t217)) % 0.29/0.57 (step @p268 :rule nary_cong :premises (@p260 @p267) :args ((or @t224 (not @t218)))) % 0.29/0.57 (step @p269 :rule cnf_or_neg :args (@t224 5)) % 0.29/0.57 (step @p270 :rule eq_resolve :premises (@p269 @p268)) % 0.29/0.57 (step @p271 :rule reordering :premises (@p270) :args ((or @t217 @t224))) % 0.29/0.57 (step @p272 :rule chain_m_resolution :premises (@p271 @p258) :args (@t217 @t225 @t226)) % 0.29/0.57 (step @p273 :rule alpha_equiv :args (@t217 @t141 @t188)) % 0.29/0.57 (step @p274 :rule equiv_elim1 :premises (@p273)) % 0.29/0.57 (step @p275 :rule chain_m_resolution :premises (@p274 @p272) :args (@t227 @t228 (@list @t217))) % 0.29/0.57 (step @p276 :rule cnf_and_pos :args (@t230 1)) % 0.29/0.57 (step @p277 :rule reordering :premises (@p276) :args ((or @t229 @t231))) % 0.29/0.57 (step @p278 :rule chain_m_resolution :premises (@p277 @p275) :args (@t231 @t228 (@list @t227))) % 0.29/0.57 (step @p279 :rule cnf_or_neg :args (@t224 7)) % 0.29/0.57 (step @p280 :rule chain_m_resolution :premises (@p279 @p258) :args ((not @t213) @t225 @t226)) % 0.29/0.57 (step @p281 :rule bool-double-not-elim :args (@t215)) % 0.29/0.57 (step @p282 :rule nary_cong :premises (@p260 @p281) :args ((or @t224 (not @t216)))) % 0.29/0.57 (step @p283 :rule cnf_or_neg :args (@t224 6)) % 0.29/0.57 (step @p284 :rule eq_resolve :premises (@p283 @p282)) % 0.29/0.57 (step @p285 :rule reordering :premises (@p284) :args ((or @t215 @t224))) % 0.29/0.57 (step @p286 :rule chain_m_resolution :premises (@p285 @p258) :args (@t215 @t225 @t226)) % 0.29/0.57 (step @p287 :rule bool-double-not-elim :args (@t219)) % 0.29/0.57 (step @p288 :rule nary_cong :premises (@p260 @p287) :args ((or @t224 (not @t220)))) % 0.29/0.57 (step @p289 :rule cnf_or_neg :args (@t224 4)) % 0.29/0.57 (step @p290 :rule eq_resolve :premises (@p289 @p288)) % 0.29/0.57 (step @p291 :rule reordering :premises (@p290) :args ((or @t219 @t224))) % 0.29/0.57 (step @p292 :rule chain_m_resolution :premises (@p291 @p258) :args (@t219 @t225 @t226)) % 0.29/0.57 (step @p293 :rule cnf_or_neg :args (@t224 3)) % 0.29/0.57 (step @p294 :rule chain_m_resolution :premises (@p293 @p258) :args ((not @t222) @t225 @t226)) % 0.29/0.57 (step @p295 :rule cnf_or_pos :args (@t234)) % 0.29/0.57 (step @p296 :rule reordering :premises (@p295) :args ((or @t222 @t220 @t216 @t213 @t230 @t233 (not @t234)))) % 0.29/0.57 (step @p297 :rule chain_m_resolution :premises (@p296 @p294 @p292 @p286 @p280 @p278 @p266) :args (@t233 (@list true false false true true false) (@list @t222 @t219 @t215 @t213 @t230 @t234))) % 0.29/0.57 (assume-push @p304 @t235) % 0.29/0.57 (step @p299 :rule instantiate :premises (@p18) :args ((@list @t214 @t221))) % 0.29/0.57 (step-pop @p305 :rule scope :premises (@p299)) % 0.29/0.57 (step @p300 :rule process_scope :premises (@p305) :args (@t232)) % 0.29/0.57 (step @p302 :rule implies_elim :premises (@p300)) % 0.29/0.57 (step @p303 false :rule chain_m_resolution :premises (@p302 @p297 @p18) :args (false (@list true false) (@list @t232 @t235))) % 0.29/0.57 ) % 0.29/0.57 % SZS output end Proof % 0.29/0.57 % cvc5 exiting %------------------------------------------------------------------------------