%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PLA053^2 : TPTP v9.2.1. 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 : n028.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 08:43:30 AM UTC 2026 % Result : Theorem 3.62s 3.87s % Output : Proof 3.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PLA053^2 : TPTP v9.2.1. Released v8.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n028.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 13:04:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 3.62/3.87 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 3.62/3.87 % SZS status Theorem % 3.62/3.87 % SZS output start Proof % 3.62/3.87 ( % 3.62/3.87 (declare-sort $$unsorted 0) % 3.62/3.87 (declare-sort tptp.mworld 0) % 3.62/3.87 (declare-const tptp.mactual tptp.mworld) % 3.62/3.87 (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool)) % 3.62/3.87 (declare-const tptp.h (-> $$unsorted tptp.mworld Bool)) % 3.62/3.87 (declare-const tptp.defused (-> $$unsorted tptp.mworld Bool)) % 3.62/3.87 (declare-const tptp.bomb (-> $$unsorted tptp.mworld Bool)) % 3.62/3.87 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 3.62/3.87 (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)))))) % 3.62/3.87 (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))))))) % 3.62/3.87 (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))))))) % 3.62/3.87 (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))))))) % 3.62/3.87 (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))))))) % 3.62/3.87 (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)))))))) % 3.62/3.87 (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)))))))) % 3.62/3.87 (define tptp.mforall_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 3.62/3.87 (define tptp.mexists_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 3.62/3.87 (define @t1 () (@var "W" tptp.mworld)) % 3.62/3.87 (define @t2 () (_ tptp.mrel @t1)) % 3.62/3.87 (define @t3 () (_ @t2 @t1)) % 3.62/3.87 (define @t4 () (@list @t1)) % 3.62/3.87 (define @t5 () (forall @t4 @t3)) % 3.62/3.87 (define @t6 () (@var "__flatten_var_0" tptp.mworld)) % 3.62/3.87 (define @t7 () (@var "B" $$unsorted)) % 3.62/3.87 (define @t8 () (@var "X" $$unsorted)) % 3.62/3.87 (define @t9 () (_ tptp.bomb @t8)) % 3.62/3.87 (define @t10 () (@var "A" $$unsorted)) % 3.62/3.87 (define @t11 () (_ tptp.mand @t9)) % 3.62/3.87 (define @t12 () (@list @t8 @t6)) % 3.62/3.87 (define @t13 () (_ tptp.defused @t8)) % 3.62/3.87 (define @t14 () (@var "D" $$unsorted)) % 3.62/3.87 (define @t15 () (_ tptp.h @t14)) % 3.62/3.87 (define @t16 () (_ (_ tptp.mimplies (_ @t11 @t15)) @t13)) % 3.62/3.87 (define @t17 () (@list @t14 @t6)) % 3.62/3.87 (define @t18 () (lambda @t17 (_ (_ tptp.mbox @t16) @t6))) % 3.62/3.87 (define @t19 () (lambda @t12 (_ (_ tptp.mexists_di @t18) @t6))) % 3.62/3.87 (define @t20 () (lambda @t17 (_ @t16 @t6))) % 3.62/3.87 (define @t21 () (lambda @t12 (_ (_ tptp.mexists_di @t20) @t6))) % 3.62/3.87 (define @t22 () (not (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di @t21))))) % 3.62/3.87 (define @t23 () (@var "Phi" (-> tptp.mworld Bool))) % 3.62/3.87 (define @t24 () (lambda (@list @t23) (_ @t23 tptp.mactual))) % 3.62/3.87 (define @t25 () (@var "A" (-> tptp.mworld Bool))) % 3.62/3.87 (define @t26 () (_ @t25 @t1)) % 3.62/3.87 (define @t27 () (lambda (@list @t25 @t1) (not @t26))) % 3.62/3.87 (define @t28 () (@var "B" (-> tptp.mworld Bool))) % 3.62/3.87 (define @t29 () (_ @t28 @t1)) % 3.62/3.87 (define @t30 () (@list @t25 @t28 @t1)) % 3.62/3.87 (define @t31 () (lambda @t30 (and @t26 @t29))) % 3.62/3.87 (define @t32 () (lambda @t30 (or @t26 @t29))) % 3.62/3.87 (define @t33 () (lambda @t30 (=> @t26 @t29))) % 3.62/3.87 (define @t34 () (lambda @t30 (= @t26 @t29))) % 3.62/3.87 (define @t35 () (@var "V" tptp.mworld)) % 3.62/3.87 (define @t36 () (_ @t23 @t35)) % 3.62/3.87 (define @t37 () (_ @t2 @t35)) % 3.62/3.87 (define @t38 () (@list @t35)) % 3.62/3.87 (define @t39 () (forall @t38 (=> @t37 @t36))) % 3.62/3.87 (define @t40 () (@list @t23 @t1)) % 3.62/3.87 (define @t41 () (lambda @t40 @t39)) % 3.62/3.87 (define @t42 () (lambda @t40 (exists @t38 (and @t37 @t36)))) % 3.62/3.87 (define @t43 () (@var "A" (-> $$unsorted tptp.mworld Bool))) % 3.62/3.87 (define @t44 () (_ (_ @t43 @t8) @t1)) % 3.62/3.87 (define @t45 () (@list @t8)) % 3.62/3.87 (define @t46 () (forall @t45 @t44)) % 3.62/3.87 (define @t47 () (@list @t43 @t1)) % 3.62/3.87 (define @t48 () (lambda @t47 @t46)) % 3.62/3.87 (define @t49 () (exists @t45 @t44)) % 3.62/3.87 (define @t50 () (lambda @t47 @t49)) % 3.62/3.87 (define @t51 () (@var "BOUND_VARIABLE_8049" $$unsorted)) % 3.62/3.87 (define @t52 () (tptp.defused @t51 @t35)) % 3.62/3.87 (define @t53 () (not (tptp.bomb @t51 @t35))) % 3.62/3.87 (define @t54 () (@var "BOUND_VARIABLE_7998" $$unsorted)) % 3.62/3.87 (define @t55 () (@list @t54)) % 3.62/3.87 (define @t56 () (not (forall @t55 (tptp.h @t54 @t35)))) % 3.62/3.87 (define @t57 () (not (tptp.mrel tptp.mactual @t35))) % 3.62/3.87 (define @t58 () (@list @t35 @t51)) % 3.62/3.87 (define @t59 () (forall @t58 (or @t57 @t56 @t53 @t52))) % 3.62/3.87 (define @t60 () (tptp.mrel @t1 @t35)) % 3.62/3.87 (define @t61 () (not @t60)) % 3.62/3.87 (define @t62 () (or @t61 @t56 @t53 @t52)) % 3.62/3.87 (define @t63 () (lambda @t4 (forall @t58 @t62))) % 3.62/3.87 (define @t64 () (_ @t63 tptp.mactual)) % 3.62/3.87 (define @t65 () (or @t53 @t52)) % 3.62/3.87 (define @t66 () (or @t61 @t56 @t65)) % 3.62/3.87 (define @t67 () (forall @t58 @t66)) % 3.62/3.87 (define @t68 () (@list @t51)) % 3.62/3.87 (define @t69 () (forall @t68 @t66)) % 3.62/3.87 (define @t70 () (forall @t68 @t65)) % 3.62/3.87 (define @t71 () (@list @t8)) % 3.62/3.87 (define @t72 () (or @t61 @t56 @t70)) % 3.62/3.87 (define @t73 () (tptp.defused @t8 @t35)) % 3.62/3.87 (define @t74 () (tptp.bomb @t8 @t35)) % 3.62/3.87 (define @t75 () (not @t74)) % 3.62/3.87 (define @t76 () (forall @t45 (or @t75 @t73))) % 3.62/3.87 (define @t77 () (or @t61 @t56 @t76)) % 3.62/3.87 (define @t78 () (or @t56 @t76)) % 3.62/3.87 (define @t79 () (tptp.defused @t8 @t1)) % 3.62/3.87 (define @t80 () (tptp.bomb @t8 @t1)) % 3.62/3.87 (define @t81 () (tptp.h @t54 @t1)) % 3.62/3.87 (define @t82 () (forall @t55 @t81)) % 3.62/3.87 (define @t83 () (not @t82)) % 3.62/3.87 (define @t84 () (lambda @t4 (or @t83 (forall @t45 (or (not @t80) @t79))))) % 3.62/3.87 (define @t85 () (_ @t84 @t35)) % 3.62/3.87 (define @t86 () (or @t61 @t85)) % 3.62/3.87 (define @t87 () (forall @t38 @t86)) % 3.62/3.87 (define @t88 () (lambda @t4 @t87)) % 3.62/3.87 (define @t89 () (_ @t23 @t35)) % 3.62/3.87 (define @t90 () (lambda @t40 (forall @t38 (or @t61 @t89)))) % 3.62/3.87 (define @t91 () (_ @t13 @t1)) % 3.62/3.87 (define @t92 () (_ @t9 @t1)) % 3.62/3.87 (define @t93 () (not @t92)) % 3.62/3.87 (define @t94 () (or @t93 @t91)) % 3.62/3.87 (define @t95 () (forall @t45 @t94)) % 3.62/3.87 (define @t96 () (or @t83 @t95)) % 3.62/3.87 (define @t97 () (or @t83 @t94)) % 3.62/3.87 (define @t98 () (or @t93 @t83 @t91)) % 3.62/3.87 (define @t99 () (not @t91)) % 3.62/3.87 (define @t100 () (not @t99)) % 3.62/3.87 (define @t101 () (or @t93 @t83 @t100)) % 3.62/3.87 (define @t102 () (not (and @t92 @t82 @t99))) % 3.62/3.87 (define @t103 () (_ @t13 @t6)) % 3.62/3.87 (define @t104 () (_ @t9 @t6)) % 3.62/3.87 (define @t105 () (not (and @t104 (forall @t55 (tptp.h @t54 @t6)) (not @t103)))) % 3.62/3.87 (define @t106 () (lambda @t12 @t105)) % 3.62/3.87 (define @t107 () (_ @t106 @t8 @t1)) % 3.62/3.87 (define @t108 () (forall @t45 @t107)) % 3.62/3.87 (define @t109 () (lambda @t4 @t108)) % 3.62/3.87 (define @t110 () (_ @t43 @t8 @t1)) % 3.62/3.87 (define @t111 () (lambda @t47 (forall @t45 @t110))) % 3.62/3.87 (define @t112 () (_ (_ tptp.h @t54) @t1)) % 3.62/3.87 (define @t113 () (forall @t55 @t112)) % 3.62/3.87 (define @t114 () (@var "BOUND_VARIABLE_7974" $$unsorted)) % 3.62/3.87 (define @t115 () (@list @t114)) % 3.62/3.87 (define @t116 () (forall @t115 @t99)) % 3.62/3.87 (define @t117 () (_ (_ tptp.h @t114) @t1)) % 3.62/3.87 (define @t118 () (forall @t115 @t117)) % 3.62/3.87 (define @t119 () (@list @t114)) % 3.62/3.87 (define @t120 () (forall @t115 @t92)) % 3.62/3.87 (define @t121 () (and @t120 @t118 @t116)) % 3.62/3.87 (define @t122 () (and @t92 @t117 @t99)) % 3.62/3.87 (define @t123 () (and @t92 @t117)) % 3.62/3.87 (define @t124 () (=> @t123 @t91)) % 3.62/3.87 (define @t125 () (=> (and @t104 (_ @t15 @t6)) @t103)) % 3.62/3.87 (define @t126 () (lambda @t17 @t125)) % 3.62/3.87 (define @t127 () (_ @t126 @t114 @t1)) % 3.62/3.87 (define @t128 () (not @t127)) % 3.62/3.87 (define @t129 () (forall @t115 @t128)) % 3.62/3.87 (define @t130 () (not @t129)) % 3.62/3.87 (define @t131 () (lambda @t4 @t130)) % 3.62/3.87 (define @t132 () (forall @t45 (not @t110))) % 3.62/3.87 (define @t133 () (not @t132)) % 3.62/3.87 (define @t134 () (lambda @t47 @t133)) % 3.62/3.87 (define @t135 () (and @t92 (_ @t15 @t1))) % 3.62/3.87 (define @t136 () (lambda @t4 (=> @t135 @t91))) % 3.62/3.87 (define @t137 () (@list @t28 @t1)) % 3.62/3.87 (define @t138 () (lambda @t4 @t135)) % 3.62/3.87 (define @t139 () (_ @t138 @t1)) % 3.62/3.87 (define @t140 () (=> @t139 @t29)) % 3.62/3.87 (define @t141 () (lambda @t137 @t140)) % 3.62/3.87 (define @t142 () (lambda @t137 (and @t92 @t29))) % 3.62/3.87 (define @t143 () (_ @t31 @t9)) % 3.62/3.87 (define @t144 () (_ (_ @t33 (_ @t143 @t15)) @t13)) % 3.62/3.87 (define @t145 () (lambda @t17 (_ @t144 @t6))) % 3.62/3.87 (define @t146 () (lambda @t12 (_ (_ @t134 @t145) @t6))) % 3.62/3.87 (define @t147 () (not @t44)) % 3.62/3.87 (define @t148 () (forall @t45 @t147)) % 3.62/3.87 (define @t149 () (not @t148)) % 3.62/3.87 (define @t150 () (not @t37)) % 3.62/3.87 (define @t151 () (or @t150 @t36)) % 3.62/3.87 (define @t152 () (@quantifiers_skolemize @t59 0)) % 3.62/3.87 (define @t153 () (forall @t55 (tptp.h @t54 @t152))) % 3.62/3.87 (define @t154 () (@quantifiers_skolemize @t59 1)) % 3.62/3.87 (define @t155 () (tptp.defused @t154 @t152)) % 3.62/3.87 (define @t156 () (tptp.bomb @t154 @t152)) % 3.62/3.87 (define @t157 () (not @t156)) % 3.62/3.87 (define @t158 () (not @t153)) % 3.62/3.87 (define @t159 () (tptp.mrel tptp.mactual @t152)) % 3.62/3.87 (define @t160 () (not @t159)) % 3.62/3.87 (define @t161 () (or @t160 @t158 @t157 @t155)) % 3.62/3.87 (define @t162 () (@list true)) % 3.62/3.87 (define @t163 () (@list @t161)) % 3.62/3.87 (define @t164 () (@var "BOUND_VARIABLE_7910" tptp.mworld)) % 3.62/3.87 (define @t165 () (@var "BOUND_VARIABLE_7938" $$unsorted)) % 3.62/3.87 (define @t166 () (@var "BOUND_VARIABLE_7869" $$unsorted)) % 3.62/3.87 (define @t167 () (not (tptp.h @t166 @t164))) % 3.62/3.87 (define @t168 () (not (tptp.mrel @t35 @t164))) % 3.62/3.87 (define @t169 () (@list @t164)) % 3.62/3.87 (define @t170 () (@list @t166)) % 3.62/3.87 (define @t171 () (not (forall @t170 (not (forall @t169 (or @t168 (not (tptp.bomb @t165 @t164)) @t167 (tptp.defused @t165 @t164))))))) % 3.62/3.87 (define @t172 () (@list @t35 @t165)) % 3.62/3.87 (define @t173 () (or @t61 @t171)) % 3.62/3.87 (define @t174 () (forall @t172 @t173)) % 3.62/3.87 (define @t175 () (lambda @t4 @t174)) % 3.62/3.87 (define @t176 () (_ @t175 tptp.mactual)) % 3.62/3.87 (define @t177 () (@list @t165)) % 3.62/3.87 (define @t178 () (forall @t177 @t173)) % 3.62/3.87 (define @t179 () (forall @t177 @t171)) % 3.62/3.87 (define @t180 () (or @t61 @t179)) % 3.62/3.87 (define @t181 () (tptp.defused @t8 @t164)) % 3.62/3.87 (define @t182 () (not (tptp.bomb @t8 @t164))) % 3.62/3.87 (define @t183 () (forall @t45 (not (forall @t170 (not (forall @t169 (or @t168 @t182 @t167 @t181))))))) % 3.62/3.87 (define @t184 () (not (tptp.h @t166 @t35))) % 3.62/3.87 (define @t185 () (forall @t38 (or @t61 @t75 @t184 @t73))) % 3.62/3.87 (define @t186 () (not @t185)) % 3.62/3.87 (define @t187 () (forall @t170 @t186)) % 3.62/3.87 (define @t188 () (not @t187)) % 3.62/3.87 (define @t189 () (forall @t45 @t188)) % 3.62/3.87 (define @t190 () (lambda @t4 @t189)) % 3.62/3.87 (define @t191 () (or @t61 (_ @t190 @t35))) % 3.62/3.87 (define @t192 () (forall @t38 @t191)) % 3.62/3.87 (define @t193 () (lambda @t4 @t192)) % 3.62/3.87 (define @t194 () (not (tptp.mrel @t6 @t35))) % 3.62/3.87 (define @t195 () (not (forall @t170 (not (forall @t38 (or @t194 @t75 @t184 @t73)))))) % 3.62/3.87 (define @t196 () (lambda @t12 @t195)) % 3.62/3.87 (define @t197 () (_ @t196 @t8 @t1)) % 3.62/3.87 (define @t198 () (forall @t45 @t197)) % 3.62/3.87 (define @t199 () (lambda @t4 @t198)) % 3.62/3.87 (define @t200 () (tptp.h @t14 @t35)) % 3.62/3.87 (define @t201 () (not @t200)) % 3.62/3.87 (define @t202 () (forall @t38 (or @t194 @t75 @t201 @t73))) % 3.62/3.87 (define @t203 () (lambda @t17 @t202)) % 3.62/3.87 (define @t204 () (_ @t203 @t166 @t1)) % 3.62/3.87 (define @t205 () (not @t204)) % 3.62/3.87 (define @t206 () (forall @t170 @t205)) % 3.62/3.87 (define @t207 () (not @t206)) % 3.62/3.87 (define @t208 () (lambda @t4 @t207)) % 3.62/3.87 (define @t209 () (_ @t13 @t35)) % 3.62/3.87 (define @t210 () (_ @t15 @t35)) % 3.62/3.87 (define @t211 () (not @t210)) % 3.62/3.87 (define @t212 () (_ @t9 @t35)) % 3.62/3.87 (define @t213 () (not @t212)) % 3.62/3.87 (define @t214 () (or @t61 @t213 @t211 @t209)) % 3.62/3.87 (define @t215 () (or @t213 @t211 @t209)) % 3.62/3.87 (define @t216 () (and @t212 @t210)) % 3.62/3.87 (define @t217 () (=> @t216 @t209)) % 3.62/3.87 (define @t218 () (or @t61 @t217)) % 3.62/3.87 (define @t219 () (_ @t136 @t35)) % 3.62/3.87 (define @t220 () (or @t61 @t219)) % 3.62/3.87 (define @t221 () (forall @t38 @t220)) % 3.62/3.87 (define @t222 () (lambda @t4 @t221)) % 3.62/3.87 (define @t223 () (lambda @t17 (_ (_ @t90 @t144) @t6))) % 3.62/3.87 (define @t224 () (tptp.defused @t154 @t164)) % 3.62/3.87 (define @t225 () (not (tptp.bomb @t154 @t164))) % 3.62/3.87 (define @t226 () (not (tptp.mrel @t152 @t164))) % 3.62/3.87 (define @t227 () (forall @t170 (not (forall @t169 (or @t226 @t225 @t167 @t224))))) % 3.62/3.87 (define @t228 () (not @t227)) % 3.62/3.87 (define @t229 () (or @t160 @t228)) % 3.62/3.87 (define @t230 () (@quantifiers_skolemize @t227 0)) % 3.62/3.87 (define @t231 () (forall @t169 (or @t226 @t225 (not (tptp.h @t230 @t164)) @t224))) % 3.62/3.87 (define @t232 () (not (not @t231))) % 3.62/3.87 (define @t233 () (@list @t152)) % 3.62/3.87 (define @t234 () (tptp.mrel @t1 @t1)) % 3.62/3.87 (define @t235 () (tptp.h @t230 @t152)) % 3.62/3.87 (define @t236 () (not @t235)) % 3.62/3.87 (define @t237 () (tptp.mrel @t152 @t152)) % 3.62/3.87 (define @t238 () (not @t237)) % 3.62/3.87 (define @t239 () (or @t238 @t157 @t236 @t155)) % 3.62/3.87 (assume @p1 @t5) % 3.62/3.87 (assume @p2 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mexists_di (lambda (@list @t7 @t6) (_ (_ tptp.bomb @t7) @t6)))))) % 3.62/3.87 (assume @p3 (_ tptp.mlocal (_ tptp.mexists_di (lambda (@list @t10 @t6) (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ (_ tptp.mimplies (_ @t11 (_ tptp.h @t10))) (_ tptp.mbox @t9)) @t6)))) @t6))))) % 3.62/3.87 (assume @p4 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di @t19)))) % 3.62/3.87 (assume @p5 @t22) % 3.62/3.87 (assume @p6 true) % 3.62/3.87 (step @p7 (= tptp.mlocal @t24) :rule refl :args (@t24)) % 3.62/3.87 (step @p8 (= tptp.mnot @t27) :rule refl :args (@t27)) % 3.62/3.87 (step @p9 (= tptp.mand @t31) :rule refl :args (@t31)) % 3.62/3.87 (step @p10 (= tptp.mor @t32) :rule refl :args (@t32)) % 3.62/3.87 (step @p11 (= tptp.mimplies @t33) :rule refl :args (@t33)) % 3.62/3.87 (step @p12 (= tptp.mequiv @t34) :rule refl :args (@t34)) % 3.62/3.87 (step @p13 (= tptp.mbox @t41) :rule refl :args (@t41)) % 3.62/3.87 (step @p14 (= tptp.mdia @t42) :rule refl :args (@t42)) % 3.62/3.87 (step @p15 (= tptp.mforall_di @t48) :rule refl :args (@t48)) % 3.62/3.87 (step @p16 (= tptp.mexists_di @t50) :rule refl :args (@t50)) % 3.62/3.87 (step @p17 :rule beta-reduce :args ((= @t64 @t59))) % 3.62/3.87 (step @p18 :rule beta-reduce :args ((= (_ @t24 @t63) @t64))) % 3.62/3.87 (step @p19 :rule trans :premises (@p18 @p17)) % 3.62/3.87 (step @p20 :rule aci_norm :args ((= @t66 @t62))) % 3.62/3.87 (step @p21 :rule cong :premises (@p20) :args (@t67)) % 3.62/3.87 (step @p22 :rule quant-merge-prenex :args ((= (forall @t38 @t69) @t67))) % 3.62/3.87 (step @p23 :rule alpha_equiv :args (@t70 (@list @t51) @t71)) % 3.62/3.87 (step @p24 :rule refl :args (@t56)) % 3.62/3.87 (step @p25 :rule refl :args (@t61)) % 3.62/3.87 (step @p26 :rule nary_cong :premises (@p25 @p24 @p23) :args (@t72)) % 3.62/3.87 (step @p27 :rule quant-miniscope-or :args ((= @t69 @t72))) % 3.62/3.87 (step @p28 :rule trans :premises (@p27 @p26)) % 3.62/3.87 (step @p29 :rule symm :premises (@p28)) % 3.62/3.87 (step @p30 :rule cong :premises (@p29) :args ((forall @t38 @t77))) % 3.62/3.87 (step @p31 :rule trans :premises (@p30 @p22)) % 3.62/3.87 (step @p32 :rule trans :premises (@p31 @p21)) % 3.62/3.87 (step @p33 :rule aci_norm :args ((= (or @t61 @t78) @t77))) % 3.62/3.87 (step @p34 :rule beta-reduce :args ((= @t85 @t78))) % 3.62/3.87 (step @p35 :rule refl :args (@t61)) % 3.62/3.87 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t86)) % 3.62/3.87 (step @p37 :rule trans :premises (@p36 @p33)) % 3.62/3.87 (step @p38 :rule cong :premises (@p37) :args (@t87)) % 3.62/3.87 (step @p39 :rule trans :premises (@p38 @p32)) % 3.62/3.87 (step @p40 :rule cong :premises (@p39) :args (@t88)) % 3.62/3.87 (step @p41 :rule beta-reduce :args ((= (_ @t90 @t84) @t88))) % 3.62/3.87 (step @p42 :rule trans :premises (@p41 @p40)) % 3.62/3.87 (step @p43 :rule refl :args (@t79)) % 3.62/3.87 (step @p44 :rule refl :args (@t91)) % 3.62/3.87 (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t91 @t79))) % 3.62/3.87 (step @p46 :rule symm :premises (@p45)) % 3.62/3.87 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 3.62/3.87 (step @p48 :rule refl :args (@t80)) % 3.62/3.87 (step @p49 :rule refl :args (@t92)) % 3.62/3.87 (step @p50 :rule cong :premises (@p49 @p48) :args ((= @t92 @t80))) % 3.62/3.87 (step @p51 :rule symm :premises (@p50)) % 3.62/3.87 (step @p52 :rule eq_resolve :premises (@p49 @p51)) % 3.62/3.87 (step @p53 :rule cong :premises (@p52) :args (@t93)) % 3.62/3.87 (step @p54 :rule nary_cong :premises (@p53 @p47) :args (@t94)) % 3.62/3.87 (step @p55 :rule cong :premises (@p54) :args (@t95)) % 3.62/3.87 (step @p56 :rule refl :args (@t83)) % 3.62/3.87 (step @p57 :rule nary_cong :premises (@p56 @p55) :args (@t96)) % 3.62/3.87 (step @p58 :rule quant-miniscope-or :args ((= (forall @t45 @t97) @t96))) % 3.62/3.87 (step @p59 :rule aci_norm :args ((= @t98 @t97))) % 3.62/3.87 (step @p60 :rule cong :premises (@p59) :args ((forall @t45 @t98))) % 3.62/3.87 (step @p61 :rule trans :premises (@p60 @p58)) % 3.62/3.87 (step @p62 :rule trans :premises (@p61 @p57)) % 3.62/3.87 (step @p63 :rule bool-double-not-elim :args (@t91)) % 3.62/3.87 (step @p64 :rule refl :args (@t83)) % 3.62/3.87 (step @p65 :rule refl :args (@t93)) % 3.62/3.87 (step @p66 :rule nary_cong :premises (@p65 @p64 @p63) :args (@t101)) % 3.62/3.87 (step @p67 :rule aci_norm :args ((= (or @t93 (or @t83 @t100)) @t101))) % 3.62/3.87 (step @p68 :rule trans :premises (@p67 @p66)) % 3.62/3.87 (step @p69 :rule bool-and-de-morgan :args (@t82 @t99 true)) % 3.62/3.87 (step @p70 :rule nary_cong :premises (@p65 @p69) :args ((or @t93 (not (and @t82 @t99))))) % 3.62/3.87 (step @p71 :rule bool-and-de-morgan :args (@t92 @t82 (and @t99))) % 3.62/3.87 (step @p72 :rule trans :premises (@p71 @p70)) % 3.62/3.87 (step @p73 :rule trans :premises (@p72 @p68)) % 3.62/3.87 (step @p74 :rule cong :premises (@p73) :args ((forall @t45 @t102))) % 3.62/3.87 (step @p75 :rule trans :premises (@p74 @p62)) % 3.62/3.87 (step @p76 :rule beta-reduce :args ((= @t107 @t102))) % 3.62/3.87 (step @p77 :rule cong :premises (@p76) :args (@t108)) % 3.62/3.87 (step @p78 :rule trans :premises (@p77 @p75)) % 3.62/3.87 (step @p79 :rule cong :premises (@p78) :args (@t109)) % 3.62/3.87 (step @p80 :rule beta-reduce :args ((= (_ @t111 @t106) @t109))) % 3.62/3.87 (step @p81 :rule trans :premises (@p80 @p79)) % 3.62/3.87 (step @p82 :rule beta-reduce :args ((= (_ (lambda @t4 @t102) @t6) @t105))) % 3.62/3.87 (step @p83 :rule refl :args (@t6)) % 3.62/3.87 (step @p84 :rule refl :args (@t99)) % 3.62/3.87 (step @p85 :rule refl :args (@t81)) % 3.62/3.87 (step @p86 :rule refl :args (@t112)) % 3.62/3.87 (step @p87 :rule cong :premises (@p86 @p85) :args ((= @t112 @t81))) % 3.62/3.87 (step @p88 :rule symm :premises (@p87)) % 3.62/3.87 (step @p89 :rule eq_resolve :premises (@p86 @p88)) % 3.62/3.87 (step @p90 :rule cong :premises (@p89) :args (@t113)) % 3.62/3.87 (step @p91 :rule refl :args (@t92)) % 3.62/3.87 (step @p92 :rule nary_cong :premises (@p91 @p90 @p84) :args ((and @t92 @t113 @t99))) % 3.62/3.87 (step @p93 :rule quant-unused-vars :args ((= @t116 @t99))) % 3.62/3.87 (step @p94 :rule alpha_equiv :args (@t118 @t119 (@list @t54))) % 3.62/3.87 (step @p95 :rule quant-unused-vars :args ((= @t120 @t92))) % 3.62/3.87 (step @p96 :rule nary_cong :premises (@p95 @p94 @p93) :args (@t121)) % 3.62/3.87 (step @p97 :rule quant-miniscope-and :args ((= (forall @t115 @t122) @t121))) % 3.62/3.87 (step @p98 :rule trans :premises (@p97 @p96)) % 3.62/3.87 (step @p99 :rule trans :premises (@p98 @p92)) % 3.62/3.87 (step @p100 :rule aci_norm :args ((= (and @t123 @t99) @t122))) % 3.62/3.87 (step @p101 :rule bool-implies-de-morgan :args (@t123 @t91)) % 3.62/3.87 (step @p102 :rule trans :premises (@p101 @p100)) % 3.62/3.87 (step @p103 :rule cong :premises (@p102) :args ((forall @t115 (not @t124)))) % 3.62/3.87 (step @p104 :rule trans :premises (@p103 @p99)) % 3.62/3.87 (step @p105 :rule beta-reduce :args ((= @t127 @t124))) % 3.62/3.87 (step @p106 :rule cong :premises (@p105) :args (@t128)) % 3.62/3.87 (step @p107 :rule cong :premises (@p106) :args (@t129)) % 3.62/3.87 (step @p108 :rule trans :premises (@p107 @p104)) % 3.62/3.87 (step @p109 :rule cong :premises (@p108) :args (@t130)) % 3.62/3.87 (step @p110 :rule cong :premises (@p109) :args (@t131)) % 3.62/3.87 (step @p111 :rule beta-reduce :args ((= (_ (lambda @t47 (not (forall @t115 (not (_ @t43 @t114 @t1))))) @t126) @t131))) % 3.62/3.87 (step @p112 :rule trans :premises (@p111 @p110)) % 3.62/3.87 (step @p113 :rule refl :args (@t126)) % 3.62/3.87 (step @p114 :rule alpha_equiv :args (@t132 @t71 @t119)) % 3.62/3.87 (step @p115 :rule cong :premises (@p114) :args (@t133)) % 3.62/3.87 (step @p116 :rule cong :premises (@p115) :args (@t134)) % 3.62/3.87 (step @p117 :rule ho_cong :premises (@p116 @p113)) % 3.62/3.87 (step @p118 :rule trans :premises (@p117 @p112)) % 3.62/3.87 (step @p119 :rule beta-reduce :args ((= (_ @t136 @t6) @t125))) % 3.62/3.87 (step @p120 :rule beta-reduce :args ((= (_ (lambda @t137 (=> @t135 @t29)) @t13) @t136))) % 3.62/3.87 (step @p121 :rule refl :args (@t13)) % 3.62/3.87 (step @p122 :rule refl :args (@t29)) % 3.62/3.87 (step @p123 :rule beta-reduce :args ((= @t139 @t135))) % 3.62/3.87 (step @p124 :rule cong :premises (@p123 @p122) :args (@t140)) % 3.62/3.87 (step @p125 :rule cong :premises (@p124) :args (@t141)) % 3.62/3.87 (step @p126 :rule beta-reduce :args ((= (_ @t33 @t138) @t141))) % 3.62/3.87 (step @p127 :rule trans :premises (@p126 @p125)) % 3.62/3.87 (step @p128 :rule beta-reduce :args ((= (_ @t142 @t15) @t138))) % 3.62/3.87 (step @p129 :rule refl :args (@t15)) % 3.62/3.87 (step @p130 :rule beta-reduce :args ((= @t143 @t142))) % 3.62/3.87 (step @p131 :rule ho_cong :premises (@p130 @p129)) % 3.62/3.87 (step @p132 :rule trans :premises (@p131 @p128)) % 3.62/3.87 (step @p133 :rule refl :args (@t33)) % 3.62/3.87 (step @p134 :rule ho_cong :premises (@p133 @p132)) % 3.62/3.87 (step @p135 :rule trans :premises (@p134 @p127)) % 3.62/3.87 (step @p136 :rule ho_cong :premises (@p135 @p121)) % 3.62/3.87 (step @p137 :rule trans :premises (@p136 @p120)) % 3.62/3.87 (step @p138 :rule ho_cong :premises (@p137 @p83)) % 3.62/3.87 (step @p139 :rule trans :premises (@p138 @p119)) % 3.62/3.87 (step @p140 :rule cong :premises (@p139) :args (@t145)) % 3.62/3.87 (step @p141 :rule refl :args (@t134)) % 3.62/3.87 (step @p142 :rule ho_cong :premises (@p141 @p140)) % 3.62/3.87 (step @p143 :rule trans :premises (@p142 @p118)) % 3.62/3.87 (step @p144 :rule ho_cong :premises (@p143 @p83)) % 3.62/3.87 (step @p145 :rule trans :premises (@p144 @p82)) % 3.62/3.87 (step @p146 :rule cong :premises (@p145) :args (@t146)) % 3.62/3.87 (step @p147 :rule refl :args (@t111)) % 3.62/3.87 (step @p148 :rule ho_cong :premises (@p147 @p146)) % 3.62/3.87 (step @p149 :rule trans :premises (@p148 @p81)) % 3.62/3.87 (step @p150 :rule refl :args (@t90)) % 3.62/3.87 (step @p151 :rule ho_cong :premises (@p150 @p149)) % 3.62/3.87 (step @p152 :rule trans :premises (@p151 @p42)) % 3.62/3.87 (step @p153 :rule refl :args (@t24)) % 3.62/3.87 (step @p154 :rule ho_cong :premises (@p153 @p152)) % 3.62/3.87 (step @p155 :rule trans :premises (@p154 @p19)) % 3.62/3.87 (step @p156 :rule cong :premises (@p155) :args ((not (_ @t24 (_ @t90 (_ @t111 @t146)))))) % 3.62/3.87 (step @p157 :rule refl :args (@t9)) % 3.62/3.87 (step @p158 :rule ho_cong :premises (@p9 @p157)) % 3.62/3.87 (step @p159 :rule ho_cong :premises (@p158 @p129)) % 3.62/3.87 (step @p160 :rule ho_cong :premises (@p11 @p159)) % 3.62/3.87 (step @p161 :rule ho_cong :premises (@p160 @p121)) % 3.62/3.87 (step @p162 :rule ho_cong :premises (@p161 @p83)) % 3.62/3.87 (step @p163 :rule cong :premises (@p162) :args (@t20)) % 3.62/3.87 (step @p164 :rule refl :args (@t110)) % 3.62/3.87 (step @p165 :rule refl :args (@t44)) % 3.62/3.87 (step @p166 :rule cong :premises (@p165 @p164) :args ((= @t44 @t110))) % 3.62/3.87 (step @p167 :rule symm :premises (@p166)) % 3.62/3.87 (step @p168 :rule eq_resolve :premises (@p165 @p167)) % 3.62/3.87 (step @p169 :rule cong :premises (@p168) :args (@t147)) % 3.62/3.87 (step @p170 :rule cong :premises (@p169) :args (@t148)) % 3.62/3.87 (step @p171 :rule cong :premises (@p170) :args (@t149)) % 3.62/3.87 (step @p172 :rule exists-elim :args ((= @t49 @t149))) % 3.62/3.87 (step @p173 :rule trans :premises (@p172 @p171)) % 3.62/3.87 (step @p174 :rule cong :premises (@p173) :args (@t50)) % 3.62/3.87 (step @p175 :rule trans :premises (@p16 @p174)) % 3.62/3.87 (step @p176 :rule ho_cong :premises (@p175 @p163)) % 3.62/3.87 (step @p177 :rule ho_cong :premises (@p176 @p83)) % 3.62/3.87 (step @p178 :rule cong :premises (@p177) :args (@t21)) % 3.62/3.87 (step @p179 :rule cong :premises (@p168) :args (@t46)) % 3.62/3.87 (step @p180 :rule cong :premises (@p179) :args (@t48)) % 3.62/3.87 (step @p181 :rule trans :premises (@p15 @p180)) % 3.62/3.87 (step @p182 :rule ho_cong :premises (@p181 @p178)) % 3.62/3.87 (step @p183 :rule refl :args (@t89)) % 3.62/3.87 (step @p184 :rule refl :args (@t36)) % 3.62/3.87 (step @p185 :rule cong :premises (@p184 @p183) :args ((= @t36 @t89))) % 3.62/3.87 (step @p186 :rule symm :premises (@p185)) % 3.62/3.87 (step @p187 :rule eq_resolve :premises (@p184 @p186)) % 3.62/3.87 (step @p188 :rule refl :args (@t60)) % 3.62/3.87 (step @p189 :rule refl :args (@t37)) % 3.62/3.87 (step @p190 :rule cong :premises (@p189 @p188) :args ((= @t37 @t60))) % 3.62/3.87 (step @p191 :rule symm :premises (@p190)) % 3.62/3.87 (step @p192 :rule eq_resolve :premises (@p189 @p191)) % 3.62/3.87 (step @p193 :rule cong :premises (@p192) :args (@t150)) % 3.62/3.87 (step @p194 :rule nary_cong :premises (@p193 @p187) :args (@t151)) % 3.62/3.87 (step @p195 :rule cong :premises (@p194) :args ((forall @t38 @t151))) % 3.62/3.87 (step @p196 :rule bool-impl-elim :args (@t37 @t36)) % 3.62/3.87 (step @p197 :rule cong :premises (@p196) :args (@t39)) % 3.62/3.87 (step @p198 :rule trans :premises (@p197 @p195)) % 3.62/3.87 (step @p199 :rule cong :premises (@p198) :args (@t41)) % 3.62/3.87 (step @p200 :rule trans :premises (@p13 @p199)) % 3.62/3.87 (step @p201 :rule ho_cong :premises (@p200 @p182)) % 3.62/3.87 (step @p202 :rule ho_cong :premises (@p7 @p201)) % 3.62/3.87 (step @p203 :rule cong :premises (@p202) :args (@t22)) % 3.62/3.87 (step @p204 :rule trans :premises (@p203 @p156)) % 3.62/3.87 (step @p205 :rule eq_resolve :premises (@p5 @p204)) % 3.62/3.87 (step @p206 :rule skolemize :premises (@p205)) % 3.62/3.87 (step @p207 :rule bool-double-not-elim :args (@t153)) % 3.62/3.87 (step @p208 :rule refl :args (@t161)) % 3.62/3.87 (step @p209 :rule nary_cong :premises (@p208 @p207) :args ((or @t161 (not @t158)))) % 3.62/3.87 (step @p210 :rule cnf_or_neg :args (@t161 1)) % 3.62/3.87 (step @p211 :rule eq_resolve :premises (@p210 @p209)) % 3.62/3.87 (step @p212 :rule reordering :premises (@p211) :args ((or @t153 @t161))) % 3.62/3.87 (step @p213 :rule chain_m_resolution :premises (@p212 @p206) :args (@t153 @t162 @t163)) % 3.62/3.87 (step @p214 :rule beta-reduce :args ((= @t176 (forall @t172 (or @t57 @t171))))) % 3.62/3.87 (step @p215 :rule beta-reduce :args ((= (_ @t24 @t175) @t176))) % 3.62/3.87 (step @p216 :rule trans :premises (@p215 @p214)) % 3.62/3.87 (step @p217 :rule quant-merge-prenex :args ((= (forall @t38 @t178) @t174))) % 3.62/3.87 (step @p218 :rule alpha_equiv :args (@t179 (@list @t165) @t71)) % 3.62/3.87 (step @p219 :rule nary_cong :premises (@p25 @p218) :args (@t180)) % 3.62/3.87 (step @p220 :rule quant-miniscope-or :args ((= @t178 @t180))) % 3.62/3.87 (step @p221 :rule trans :premises (@p220 @p219)) % 3.62/3.87 (step @p222 :rule symm :premises (@p221)) % 3.62/3.87 (step @p223 :rule cong :premises (@p222) :args ((forall @t38 (or @t61 @t183)))) % 3.62/3.87 (step @p224 :rule trans :premises (@p223 @p217)) % 3.62/3.87 (step @p225 :rule beta-reduce :args ((= (_ (lambda @t4 (forall @t45 (not (forall @t170 (not (forall @t169 (or (not (tptp.mrel @t1 @t164)) @t182 @t167 @t181))))))) @t35) @t183))) % 3.62/3.87 (step @p226 :rule refl :args (@t35)) % 3.62/3.87 (step @p227 :rule alpha_equiv :args (@t185 (@list @t35) (@list @t164))) % 3.62/3.87 (step @p228 :rule cong :premises (@p227) :args (@t186)) % 3.62/3.87 (step @p229 :rule cong :premises (@p228) :args (@t187)) % 3.62/3.87 (step @p230 :rule cong :premises (@p229) :args (@t188)) % 3.62/3.87 (step @p231 :rule cong :premises (@p230) :args (@t189)) % 3.62/3.87 (step @p232 :rule cong :premises (@p231) :args (@t190)) % 3.62/3.87 (step @p233 :rule ho_cong :premises (@p232 @p226)) % 3.62/3.87 (step @p234 :rule trans :premises (@p233 @p225)) % 3.62/3.87 (step @p235 :rule nary_cong :premises (@p35 @p234) :args (@t191)) % 3.62/3.87 (step @p236 :rule cong :premises (@p235) :args (@t192)) % 3.62/3.87 (step @p237 :rule trans :premises (@p236 @p224)) % 3.62/3.87 (step @p238 :rule cong :premises (@p237) :args (@t193)) % 3.62/3.87 (step @p239 :rule beta-reduce :args ((= (_ @t90 @t190) @t193))) % 3.62/3.87 (step @p240 :rule trans :premises (@p239 @p238)) % 3.62/3.87 (step @p241 :rule beta-reduce :args ((= @t197 @t188))) % 3.62/3.87 (step @p242 :rule cong :premises (@p241) :args (@t198)) % 3.62/3.87 (step @p243 :rule cong :premises (@p242) :args (@t199)) % 3.62/3.87 (step @p244 :rule beta-reduce :args ((= (_ @t111 @t196) @t199))) % 3.62/3.87 (step @p245 :rule trans :premises (@p244 @p243)) % 3.62/3.87 (step @p246 :rule beta-reduce :args ((= (_ (lambda @t4 @t188) @t6) @t195))) % 3.62/3.87 (step @p247 :rule beta-reduce :args ((= @t204 @t185))) % 3.62/3.87 (step @p248 :rule cong :premises (@p247) :args (@t205)) % 3.62/3.87 (step @p249 :rule cong :premises (@p248) :args (@t206)) % 3.62/3.87 (step @p250 :rule cong :premises (@p249) :args (@t207)) % 3.62/3.87 (step @p251 :rule cong :premises (@p250) :args (@t208)) % 3.62/3.87 (step @p252 :rule beta-reduce :args ((= (_ (lambda @t47 (not (forall @t170 (not (_ @t43 @t166 @t1))))) @t203) @t208))) % 3.62/3.87 (step @p253 :rule trans :premises (@p252 @p251)) % 3.62/3.87 (step @p254 :rule refl :args (@t203)) % 3.62/3.87 (step @p255 :rule alpha_equiv :args (@t132 @t71 (@list @t166))) % 3.62/3.87 (step @p256 :rule cong :premises (@p255) :args (@t133)) % 3.62/3.87 (step @p257 :rule cong :premises (@p256) :args (@t134)) % 3.62/3.87 (step @p258 :rule ho_cong :premises (@p257 @p254)) % 3.62/3.87 (step @p259 :rule trans :premises (@p258 @p253)) % 3.62/3.87 (step @p260 :rule beta-reduce :args ((= (_ (lambda @t4 (forall @t38 (or @t61 @t75 @t201 @t73))) @t6) @t202))) % 3.62/3.87 (step @p261 :rule refl :args (@t73)) % 3.62/3.87 (step @p262 :rule refl :args (@t209)) % 3.62/3.87 (step @p263 :rule cong :premises (@p262 @p261) :args ((= @t209 @t73))) % 3.62/3.87 (step @p264 :rule symm :premises (@p263)) % 3.62/3.87 (step @p265 :rule eq_resolve :premises (@p262 @p264)) % 3.62/3.87 (step @p266 :rule refl :args (@t200)) % 3.62/3.87 (step @p267 :rule refl :args (@t210)) % 3.62/3.87 (step @p268 :rule cong :premises (@p267 @p266) :args ((= @t210 @t200))) % 3.62/3.87 (step @p269 :rule symm :premises (@p268)) % 3.62/3.87 (step @p270 :rule eq_resolve :premises (@p267 @p269)) % 3.62/3.87 (step @p271 :rule cong :premises (@p270) :args (@t211)) % 3.62/3.87 (step @p272 :rule refl :args (@t74)) % 3.62/3.87 (step @p273 :rule refl :args (@t212)) % 3.62/3.87 (step @p274 :rule cong :premises (@p273 @p272) :args ((= @t212 @t74))) % 3.62/3.87 (step @p275 :rule symm :premises (@p274)) % 3.62/3.87 (step @p276 :rule eq_resolve :premises (@p273 @p275)) % 3.62/3.87 (step @p277 :rule cong :premises (@p276) :args (@t213)) % 3.62/3.87 (step @p278 :rule nary_cong :premises (@p25 @p277 @p271 @p265) :args (@t214)) % 3.62/3.87 (step @p279 :rule cong :premises (@p278) :args ((forall @t38 @t214))) % 3.62/3.87 (step @p280 :rule aci_norm :args ((= (or @t61 @t215) @t214))) % 3.62/3.87 (step @p281 :rule aci_norm :args ((= (or (or @t213 @t211) @t209) @t215))) % 3.62/3.87 (step @p282 :rule bool-and-de-morgan :args (@t212 @t210 true)) % 3.62/3.87 (step @p283 :rule nary_cong :premises (@p282 @p262) :args ((or (not @t216) @t209))) % 3.62/3.87 (step @p284 :rule trans :premises (@p283 @p281)) % 3.62/3.87 (step @p285 :rule bool-impl-elim :args (@t216 @t209)) % 3.62/3.87 (step @p286 :rule trans :premises (@p285 @p284)) % 3.62/3.87 (step @p287 :rule nary_cong :premises (@p25 @p286) :args (@t218)) % 3.62/3.87 (step @p288 :rule trans :premises (@p287 @p280)) % 3.62/3.87 (step @p289 :rule cong :premises (@p288) :args ((forall @t38 @t218))) % 3.62/3.87 (step @p290 :rule trans :premises (@p289 @p279)) % 3.62/3.87 (step @p291 :rule beta-reduce :args ((= @t219 @t217))) % 3.62/3.87 (step @p292 :rule nary_cong :premises (@p35 @p291) :args (@t220)) % 3.62/3.87 (step @p293 :rule cong :premises (@p292) :args (@t221)) % 3.62/3.87 (step @p294 :rule trans :premises (@p293 @p290)) % 3.62/3.87 (step @p295 :rule cong :premises (@p294) :args (@t222)) % 3.62/3.87 (step @p296 :rule beta-reduce :args ((= (_ @t90 @t136) @t222))) % 3.62/3.87 (step @p297 :rule trans :premises (@p296 @p295)) % 3.62/3.87 (step @p298 :rule ho_cong :premises (@p150 @p137)) % 3.62/3.87 (step @p299 :rule trans :premises (@p298 @p297)) % 3.62/3.87 (step @p300 :rule ho_cong :premises (@p299 @p83)) % 3.62/3.87 (step @p301 :rule trans :premises (@p300 @p260)) % 3.62/3.87 (step @p302 :rule cong :premises (@p301) :args (@t223)) % 3.62/3.87 (step @p303 :rule ho_cong :premises (@p141 @p302)) % 3.62/3.87 (step @p304 :rule trans :premises (@p303 @p259)) % 3.62/3.87 (step @p305 :rule ho_cong :premises (@p304 @p83)) % 3.62/3.87 (step @p306 :rule trans :premises (@p305 @p246)) % 3.62/3.87 (step @p307 :rule cong :premises (@p306) :args ((lambda @t12 (_ (_ @t134 @t223) @t6)))) % 3.62/3.87 (step @p308 :rule ho_cong :premises (@p147 @p307)) % 3.62/3.87 (step @p309 :rule trans :premises (@p308 @p245)) % 3.62/3.87 (step @p310 :rule ho_cong :premises (@p150 @p309)) % 3.62/3.87 (step @p311 :rule trans :premises (@p310 @p240)) % 3.62/3.87 (step @p312 :rule ho_cong :premises (@p153 @p311)) % 3.62/3.87 (step @p313 :rule trans :premises (@p312 @p216)) % 3.62/3.87 (step @p314 :rule ho_cong :premises (@p200 @p161)) % 3.62/3.87 (step @p315 :rule ho_cong :premises (@p314 @p83)) % 3.62/3.87 (step @p316 :rule cong :premises (@p315) :args (@t18)) % 3.62/3.87 (step @p317 :rule ho_cong :premises (@p175 @p316)) % 3.62/3.87 (step @p318 :rule ho_cong :premises (@p317 @p83)) % 3.62/3.87 (step @p319 :rule cong :premises (@p318) :args (@t19)) % 3.62/3.87 (step @p320 :rule ho_cong :premises (@p181 @p319)) % 3.62/3.87 (step @p321 :rule ho_cong :premises (@p200 @p320)) % 3.62/3.87 (step @p322 :rule ho_cong :premises (@p7 @p321)) % 3.62/3.87 (step @p323 :rule trans :premises (@p322 @p313)) % 3.62/3.87 (step @p324 :rule eq_resolve :premises (@p4 @p323)) % 3.62/3.87 (step @p325 :rule instantiate :premises (@p324) :args ((@list @t152 @t154))) % 3.62/3.87 (step @p326 :rule bool-double-not-elim :args (@t159)) % 3.62/3.87 (step @p327 :rule nary_cong :premises (@p208 @p326) :args ((or @t161 (not @t160)))) % 3.62/3.87 (step @p328 :rule cnf_or_neg :args (@t161 0)) % 3.62/3.87 (step @p329 :rule eq_resolve :premises (@p328 @p327)) % 3.62/3.87 (step @p330 :rule reordering :premises (@p329) :args ((or @t159 @t161))) % 3.62/3.87 (step @p331 :rule chain_m_resolution :premises (@p330 @p206) :args (@t159 @t162 @t163)) % 3.62/3.87 (step @p332 :rule cnf_or_pos :args (@t229)) % 3.62/3.87 (step @p333 :rule reordering :premises (@p332) :args ((or @t160 @t228 (not @t229)))) % 3.62/3.87 (step @p334 :rule chain_m_resolution :premises (@p333 @p331 @p325) :args (@t228 (@list false false) (@list @t159 @t229))) % 3.62/3.87 (step @p335 :rule refl :args (@t231)) % 3.62/3.87 (step @p336 :rule bool-double-not-elim :args (@t227)) % 3.62/3.87 (step @p337 :rule nary_cong :premises (@p336 @p335) :args ((or (not @t228) @t231))) % 3.62/3.87 (step @p338 :rule bool-double-not-elim :args (@t231)) % 3.62/3.87 (step @p339 :rule refl :args (@t228)) % 3.62/3.87 (step @p340 :rule cong :premises (@p339 @p338) :args ((=> @t228 @t232))) % 3.62/3.87 (assume-push @p375 @t228) % 3.62/3.87 (step @p342 :rule skolemize :premises (@p334)) % 3.62/3.87 (step-pop @p376 :rule scope :premises (@p342)) % 3.62/3.87 (step @p343 :rule process_scope :premises (@p376) :args (@t232)) % 3.62/3.87 (step @p345 :rule eq_resolve :premises (@p343 @p340)) % 3.62/3.87 (step @p346 :rule implies_elim :premises (@p345)) % 3.62/3.87 (step @p347 :rule eq_resolve :premises (@p346 @p337)) % 3.62/3.87 (step @p348 :rule chain_m_resolution :premises (@p347 @p334) :args (@t231 @t162 (@list @t227))) % 3.62/3.87 (step @p349 :rule instantiate :premises (@p348) :args (@t233)) % 3.62/3.87 (step @p350 :rule refl :args (@t234)) % 3.62/3.87 (step @p351 :rule refl :args (@t3)) % 3.62/3.87 (step @p352 :rule cong :premises (@p351 @p350) :args ((= @t3 @t234))) % 3.62/3.87 (step @p353 :rule symm :premises (@p352)) % 3.62/3.87 (step @p354 :rule eq_resolve :premises (@p351 @p353)) % 3.62/3.87 (step @p355 :rule cong :premises (@p354) :args (@t5)) % 3.62/3.87 (step @p356 :rule eq_resolve :premises (@p1 @p355)) % 3.62/3.87 (step @p357 :rule instantiate :premises (@p356) :args (@t233)) % 3.62/3.87 (step @p358 :rule cnf_or_neg :args (@t161 3)) % 3.62/3.87 (step @p359 :rule chain_m_resolution :premises (@p358 @p206) :args ((not @t155) @t162 @t163)) % 3.62/3.87 (step @p360 :rule bool-double-not-elim :args (@t156)) % 3.62/3.87 (step @p361 :rule nary_cong :premises (@p208 @p360) :args ((or @t161 (not @t157)))) % 3.62/3.87 (step @p362 :rule cnf_or_neg :args (@t161 2)) % 3.62/3.87 (step @p363 :rule eq_resolve :premises (@p362 @p361)) % 3.62/3.87 (step @p364 :rule reordering :premises (@p363) :args ((or @t156 @t161))) % 3.62/3.87 (step @p365 :rule chain_m_resolution :premises (@p364 @p206) :args (@t156 @t162 @t163)) % 3.62/3.87 (step @p366 :rule cnf_or_pos :args (@t239)) % 3.62/3.87 (step @p367 :rule reordering :premises (@p366) :args ((or @t157 @t155 @t238 @t236 (not @t239)))) % 3.62/3.87 (step @p368 :rule chain_m_resolution :premises (@p367 @p365 @p359 @p357 @p349) :args (@t236 (@list false true false false) (@list @t156 @t155 @t237 @t239))) % 3.62/3.87 (assume-push @p377 @t153) % 3.62/3.87 (step @p370 :rule instantiate :premises (@p213) :args ((@list @t230))) % 3.62/3.87 (step-pop @p378 :rule scope :premises (@p370)) % 3.62/3.87 (step @p371 :rule process_scope :premises (@p378) :args (@t235)) % 3.62/3.87 (step @p373 :rule implies_elim :premises (@p371)) % 3.62/3.87 (step @p374 false :rule chain_m_resolution :premises (@p373 @p368 @p213) :args (false (@list true false) (@list @t235 @t153))) % 3.62/3.87 ) % 3.62/3.87 % SZS output end Proof % 3.62/3.87 % cvc5 exiting %------------------------------------------------------------------------------