%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PLA053^18 : 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 : n009.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 0.37s 0.62s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PLA053^18 : TPTP v9.2.1. Released v8.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n009.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 13:03:59 EDT 2026 % 0.18/0.34 % CPUTime : % 0.27/0.49 %----Proving TH0 % 0.37/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.62 % SZS status Theorem % 0.37/0.62 % SZS output start Proof % 0.37/0.62 ( % 0.37/0.62 (declare-sort $$unsorted 0) % 0.37/0.62 (declare-sort tptp.mworld 0) % 0.37/0.62 (declare-const tptp.mactual tptp.mworld) % 0.37/0.62 (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool)) % 0.37/0.62 (declare-const tptp.eiw_di (-> $$unsorted tptp.mworld Bool)) % 0.37/0.62 (declare-const tptp.h (-> $$unsorted tptp.mworld Bool)) % 0.37/0.62 (declare-const tptp.defused (-> $$unsorted tptp.mworld Bool)) % 0.37/0.62 (declare-const tptp.bomb (-> $$unsorted tptp.mworld Bool)) % 0.37/0.62 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 0.37/0.62 (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)))))) % 0.37/0.62 (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))))))) % 0.37/0.62 (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))))))) % 0.37/0.62 (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))))))) % 0.37/0.62 (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))))))) % 0.37/0.62 (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)))))))) % 0.37/0.62 (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)))))))) % 0.37/0.62 (define tptp.mforall_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.eiw_di _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.37/0.62 (define tptp.mexists_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (and (_ (_ tptp.eiw_di _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.37/0.62 (define @t1 () (@var "V" tptp.mworld)) % 0.37/0.62 (define @t2 () (@var "W" tptp.mworld)) % 0.37/0.62 (define @t3 () (_ (_ tptp.mrel @t2) @t1)) % 0.37/0.62 (define @t4 () (@list @t2 @t1)) % 0.37/0.62 (define @t5 () (forall @t4 @t3)) % 0.37/0.62 (define @t6 () (@var "X" $$unsorted)) % 0.37/0.62 (define @t7 () (_ tptp.eiw_di @t6)) % 0.37/0.62 (define @t8 () (_ @t7 @t2)) % 0.37/0.62 (define @t9 () (@list @t6)) % 0.37/0.62 (define @t10 () (@list @t2)) % 0.37/0.62 (define @t11 () (@var "__flatten_var_0" tptp.mworld)) % 0.37/0.62 (define @t12 () (@var "B" $$unsorted)) % 0.37/0.62 (define @t13 () (_ tptp.bomb @t6)) % 0.37/0.62 (define @t14 () (@var "A" $$unsorted)) % 0.37/0.62 (define @t15 () (_ tptp.mand @t13)) % 0.37/0.62 (define @t16 () (@list @t6 @t11)) % 0.37/0.62 (define @t17 () (_ tptp.defused @t6)) % 0.37/0.62 (define @t18 () (@var "D" $$unsorted)) % 0.37/0.62 (define @t19 () (_ tptp.h @t18)) % 0.37/0.62 (define @t20 () (_ (_ tptp.mimplies (_ @t15 @t19)) @t17)) % 0.37/0.62 (define @t21 () (@list @t18 @t11)) % 0.37/0.62 (define @t22 () (lambda @t21 (_ (_ tptp.mbox @t20) @t11))) % 0.37/0.62 (define @t23 () (lambda @t16 (_ (_ tptp.mexists_di @t22) @t11))) % 0.37/0.62 (define @t24 () (lambda @t21 (_ @t20 @t11))) % 0.37/0.62 (define @t25 () (lambda @t16 (_ (_ tptp.mexists_di @t24) @t11))) % 0.37/0.62 (define @t26 () (not (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di @t25))))) % 0.37/0.62 (define @t27 () (@var "Phi" (-> tptp.mworld Bool))) % 0.37/0.62 (define @t28 () (lambda (@list @t27) (_ @t27 tptp.mactual))) % 0.37/0.62 (define @t29 () (@var "A" (-> tptp.mworld Bool))) % 0.37/0.62 (define @t30 () (_ @t29 @t2)) % 0.37/0.62 (define @t31 () (lambda (@list @t29 @t2) (not @t30))) % 0.37/0.62 (define @t32 () (@var "B" (-> tptp.mworld Bool))) % 0.37/0.62 (define @t33 () (_ @t32 @t2)) % 0.37/0.62 (define @t34 () (@list @t29 @t32 @t2)) % 0.37/0.62 (define @t35 () (lambda @t34 (and @t30 @t33))) % 0.37/0.62 (define @t36 () (lambda @t34 (or @t30 @t33))) % 0.37/0.62 (define @t37 () (lambda @t34 (=> @t30 @t33))) % 0.37/0.62 (define @t38 () (lambda @t34 (= @t30 @t33))) % 0.37/0.62 (define @t39 () (_ @t27 @t1)) % 0.37/0.62 (define @t40 () (@list @t1)) % 0.37/0.62 (define @t41 () (forall @t40 (=> @t3 @t39))) % 0.37/0.62 (define @t42 () (@list @t27 @t2)) % 0.37/0.62 (define @t43 () (lambda @t42 @t41)) % 0.37/0.62 (define @t44 () (lambda @t42 (exists @t40 (and @t3 @t39)))) % 0.37/0.62 (define @t45 () (@var "A" (-> $$unsorted tptp.mworld Bool))) % 0.37/0.62 (define @t46 () (_ (_ @t45 @t6) @t2)) % 0.37/0.62 (define @t47 () (forall @t9 (=> @t8 @t46))) % 0.37/0.62 (define @t48 () (@list @t45 @t2)) % 0.37/0.62 (define @t49 () (lambda @t48 @t47)) % 0.37/0.62 (define @t50 () (and @t8 @t46)) % 0.37/0.62 (define @t51 () (exists @t9 @t50)) % 0.37/0.62 (define @t52 () (lambda @t48 @t51)) % 0.37/0.62 (define @t53 () (tptp.mrel @t2 @t1)) % 0.37/0.62 (define @t54 () (@var "BOUND_VARIABLE_7970" tptp.mworld)) % 0.37/0.62 (define @t55 () (@var "BOUND_VARIABLE_8004" $$unsorted)) % 0.37/0.62 (define @t56 () (@var "BOUND_VARIABLE_7919" $$unsorted)) % 0.37/0.62 (define @t57 () (not (tptp.h @t56 @t54))) % 0.37/0.62 (define @t58 () (not (tptp.mrel @t1 @t54))) % 0.37/0.62 (define @t59 () (@list @t54)) % 0.37/0.62 (define @t60 () (not (tptp.eiw_di @t56 @t1))) % 0.37/0.62 (define @t61 () (@list @t56)) % 0.37/0.62 (define @t62 () (not (forall @t61 (or @t60 (not (forall @t59 (or @t58 (not (tptp.bomb @t55 @t54)) @t57 (tptp.defused @t55 @t54)))))))) % 0.37/0.62 (define @t63 () (not (tptp.eiw_di @t55 @t1))) % 0.37/0.62 (define @t64 () (not (tptp.mrel tptp.mactual @t1))) % 0.37/0.62 (define @t65 () (@list @t1 @t55)) % 0.37/0.62 (define @t66 () (not @t53)) % 0.37/0.62 (define @t67 () (or @t66 @t63 @t62)) % 0.37/0.62 (define @t68 () (lambda @t10 (forall @t65 @t67))) % 0.37/0.62 (define @t69 () (_ @t68 tptp.mactual)) % 0.37/0.62 (define @t70 () (or @t63 @t62)) % 0.37/0.62 (define @t71 () (or @t66 @t70)) % 0.37/0.62 (define @t72 () (forall @t65 @t71)) % 0.37/0.62 (define @t73 () (@list @t55)) % 0.37/0.62 (define @t74 () (forall @t73 @t71)) % 0.37/0.62 (define @t75 () (forall @t73 @t70)) % 0.37/0.62 (define @t76 () (@list @t6)) % 0.37/0.62 (define @t77 () (or @t66 @t75)) % 0.37/0.62 (define @t78 () (tptp.defused @t6 @t54)) % 0.37/0.62 (define @t79 () (not (tptp.bomb @t6 @t54))) % 0.37/0.62 (define @t80 () (not (tptp.eiw_di @t6 @t1))) % 0.37/0.62 (define @t81 () (forall @t9 (or @t80 (not (forall @t61 (or @t60 (not (forall @t59 (or @t58 @t79 @t57 @t78))))))))) % 0.37/0.62 (define @t82 () (not (tptp.eiw_di @t56 @t2))) % 0.37/0.62 (define @t83 () (tptp.eiw_di @t6 @t2)) % 0.37/0.62 (define @t84 () (not @t83)) % 0.37/0.62 (define @t85 () (tptp.defused @t6 @t1)) % 0.37/0.62 (define @t86 () (not (tptp.h @t56 @t1))) % 0.37/0.62 (define @t87 () (tptp.bomb @t6 @t1)) % 0.37/0.62 (define @t88 () (not @t87)) % 0.37/0.62 (define @t89 () (forall @t40 (or @t66 @t88 @t86 @t85))) % 0.37/0.62 (define @t90 () (not @t89)) % 0.37/0.62 (define @t91 () (or @t82 @t90)) % 0.37/0.62 (define @t92 () (forall @t61 @t91)) % 0.37/0.62 (define @t93 () (not @t92)) % 0.37/0.62 (define @t94 () (or @t84 @t93)) % 0.37/0.62 (define @t95 () (forall @t9 @t94)) % 0.37/0.62 (define @t96 () (lambda @t10 @t95)) % 0.37/0.62 (define @t97 () (or @t66 (_ @t96 @t1))) % 0.37/0.62 (define @t98 () (forall @t40 @t97)) % 0.37/0.62 (define @t99 () (lambda @t10 @t98)) % 0.37/0.62 (define @t100 () (_ @t27 @t1)) % 0.37/0.62 (define @t101 () (lambda @t42 (forall @t40 (or @t66 @t100)))) % 0.37/0.62 (define @t102 () (not (tptp.mrel @t11 @t1))) % 0.37/0.62 (define @t103 () (not (forall @t61 (or (not (tptp.eiw_di @t56 @t11)) (not (forall @t40 (or @t102 @t88 @t86 @t85))))))) % 0.37/0.62 (define @t104 () (lambda @t16 @t103)) % 0.37/0.62 (define @t105 () (_ @t104 @t6 @t2)) % 0.37/0.62 (define @t106 () (or @t84 @t105)) % 0.37/0.62 (define @t107 () (forall @t9 @t106)) % 0.37/0.62 (define @t108 () (lambda @t10 @t107)) % 0.37/0.62 (define @t109 () (_ @t45 @t6 @t2)) % 0.37/0.62 (define @t110 () (lambda @t48 (forall @t9 (or @t84 @t109)))) % 0.37/0.62 (define @t111 () (tptp.h @t18 @t1)) % 0.37/0.62 (define @t112 () (not @t111)) % 0.37/0.62 (define @t113 () (forall @t40 (or @t102 @t88 @t112 @t85))) % 0.37/0.62 (define @t114 () (lambda @t21 @t113)) % 0.37/0.62 (define @t115 () (_ @t114 @t56 @t2)) % 0.37/0.62 (define @t116 () (not @t115)) % 0.37/0.62 (define @t117 () (or @t82 @t116)) % 0.37/0.62 (define @t118 () (forall @t61 @t117)) % 0.37/0.62 (define @t119 () (not @t118)) % 0.37/0.62 (define @t120 () (lambda @t10 @t119)) % 0.37/0.62 (define @t121 () (forall @t9 (or @t84 (not @t109)))) % 0.37/0.62 (define @t122 () (not @t121)) % 0.37/0.62 (define @t123 () (lambda @t48 @t122)) % 0.37/0.62 (define @t124 () (_ @t17 @t1)) % 0.37/0.62 (define @t125 () (_ @t19 @t1)) % 0.37/0.62 (define @t126 () (not @t125)) % 0.37/0.62 (define @t127 () (_ @t13 @t1)) % 0.37/0.62 (define @t128 () (not @t127)) % 0.37/0.62 (define @t129 () (or @t66 @t128 @t126 @t124)) % 0.37/0.62 (define @t130 () (or @t128 @t126 @t124)) % 0.37/0.62 (define @t131 () (and @t127 @t125)) % 0.37/0.62 (define @t132 () (=> @t131 @t124)) % 0.37/0.62 (define @t133 () (or @t66 @t132)) % 0.37/0.62 (define @t134 () (_ @t17 @t2)) % 0.37/0.62 (define @t135 () (_ @t13 @t2)) % 0.37/0.62 (define @t136 () (and @t135 (_ @t19 @t2))) % 0.37/0.62 (define @t137 () (lambda @t10 (=> @t136 @t134))) % 0.37/0.62 (define @t138 () (_ @t137 @t1)) % 0.37/0.62 (define @t139 () (or @t66 @t138)) % 0.37/0.62 (define @t140 () (forall @t40 @t139)) % 0.37/0.62 (define @t141 () (lambda @t10 @t140)) % 0.37/0.62 (define @t142 () (@list @t32 @t2)) % 0.37/0.62 (define @t143 () (lambda @t10 @t136)) % 0.37/0.62 (define @t144 () (_ @t143 @t2)) % 0.37/0.62 (define @t145 () (=> @t144 @t33)) % 0.37/0.62 (define @t146 () (lambda @t142 @t145)) % 0.37/0.62 (define @t147 () (lambda @t142 (and @t135 @t33))) % 0.37/0.62 (define @t148 () (_ @t35 @t13)) % 0.37/0.62 (define @t149 () (_ (_ @t37 (_ @t148 @t19)) @t17)) % 0.37/0.62 (define @t150 () (lambda @t21 (_ (_ @t101 @t149) @t11))) % 0.37/0.62 (define @t151 () (not @t3)) % 0.37/0.62 (define @t152 () (or @t151 @t39)) % 0.37/0.62 (define @t153 () (not @t46)) % 0.37/0.62 (define @t154 () (not @t8)) % 0.37/0.62 (define @t155 () (or @t154 @t153)) % 0.37/0.62 (define @t156 () (forall @t9 (not @t50))) % 0.37/0.62 (define @t157 () (not @t156)) % 0.37/0.62 (define @t158 () (or @t154 @t46)) % 0.37/0.62 (define @t159 () (@var "BOUND_VARIABLE_8121" $$unsorted)) % 0.37/0.62 (define @t160 () (@var "BOUND_VARIABLE_8046" $$unsorted)) % 0.37/0.62 (define @t161 () (tptp.h @t160 @t1)) % 0.37/0.62 (define @t162 () (not (tptp.eiw_di @t160 @t1))) % 0.37/0.62 (define @t163 () (@list @t160)) % 0.37/0.62 (define @t164 () (not (forall @t163 (or @t162 (and (tptp.bomb @t159 @t1) @t161 (not (tptp.defused @t159 @t1))))))) % 0.37/0.62 (define @t165 () (not (tptp.eiw_di @t159 @t1))) % 0.37/0.62 (define @t166 () (@list @t1 @t159)) % 0.37/0.62 (define @t167 () (forall @t166 (or @t64 @t165 @t164))) % 0.37/0.62 (define @t168 () (@quantifiers_skolemize @t167 1)) % 0.37/0.62 (define @t169 () (@quantifiers_skolemize @t167 0)) % 0.37/0.62 (define @t170 () (or @t66 @t165 @t164)) % 0.37/0.62 (define @t171 () (lambda @t10 (forall @t166 @t170))) % 0.37/0.62 (define @t172 () (_ @t171 tptp.mactual)) % 0.37/0.62 (define @t173 () (or @t165 @t164)) % 0.37/0.62 (define @t174 () (or @t66 @t173)) % 0.37/0.62 (define @t175 () (forall @t166 @t174)) % 0.37/0.62 (define @t176 () (@list @t159)) % 0.37/0.62 (define @t177 () (forall @t176 @t174)) % 0.37/0.62 (define @t178 () (forall @t176 @t173)) % 0.37/0.62 (define @t179 () (or @t66 @t178)) % 0.37/0.62 (define @t180 () (forall @t9 (or @t80 (not (forall @t163 (or @t162 (and @t87 @t161 (not @t85)))))))) % 0.37/0.62 (define @t181 () (tptp.defused @t6 @t2)) % 0.37/0.62 (define @t182 () (tptp.h @t160 @t2)) % 0.37/0.62 (define @t183 () (tptp.bomb @t6 @t2)) % 0.37/0.62 (define @t184 () (not (tptp.eiw_di @t160 @t2))) % 0.37/0.62 (define @t185 () (not (forall @t163 (or @t184 (and @t183 @t182 (not @t181)))))) % 0.37/0.62 (define @t186 () (lambda @t10 (forall @t9 (or @t84 @t185)))) % 0.37/0.62 (define @t187 () (_ @t186 @t1)) % 0.37/0.62 (define @t188 () (or @t66 @t187)) % 0.37/0.62 (define @t189 () (forall @t40 @t188)) % 0.37/0.62 (define @t190 () (lambda @t10 @t189)) % 0.37/0.62 (define @t191 () (not (forall @t163 (or (not (tptp.eiw_di @t160 @t11)) (and (tptp.bomb @t6 @t11) (tptp.h @t160 @t11) (not (tptp.defused @t6 @t11))))))) % 0.37/0.62 (define @t192 () (lambda @t16 @t191)) % 0.37/0.62 (define @t193 () (_ @t192 @t6 @t2)) % 0.37/0.62 (define @t194 () (or @t84 @t193)) % 0.37/0.62 (define @t195 () (forall @t9 @t194)) % 0.37/0.62 (define @t196 () (lambda @t10 @t195)) % 0.37/0.62 (define @t197 () (not @t134)) % 0.37/0.62 (define @t198 () (_ (_ tptp.h @t160) @t2)) % 0.37/0.62 (define @t199 () (and @t135 @t198 @t197)) % 0.37/0.62 (define @t200 () (or @t184 @t199)) % 0.37/0.62 (define @t201 () (and @t135 @t198)) % 0.37/0.62 (define @t202 () (=> @t201 @t134)) % 0.37/0.62 (define @t203 () (or @t184 (not @t202))) % 0.37/0.62 (define @t204 () (=> (and (_ @t13 @t11) (_ @t19 @t11)) (_ @t17 @t11))) % 0.37/0.62 (define @t205 () (lambda @t21 @t204)) % 0.37/0.62 (define @t206 () (_ @t205 @t160 @t2)) % 0.37/0.62 (define @t207 () (not @t206)) % 0.37/0.62 (define @t208 () (or @t184 @t207)) % 0.37/0.62 (define @t209 () (forall @t163 @t208)) % 0.37/0.62 (define @t210 () (not @t209)) % 0.37/0.62 (define @t211 () (lambda @t10 @t210)) % 0.37/0.62 (define @t212 () (lambda @t21 (_ @t149 @t11))) % 0.37/0.62 (define @t213 () (lambda @t16 (_ (_ @t123 @t212) @t11))) % 0.37/0.62 (define @t214 () (tptp.eiw_di @t168 @t169)) % 0.37/0.62 (define @t215 () (tptp.defused @t168 @t169)) % 0.37/0.62 (define @t216 () (not @t215)) % 0.37/0.62 (define @t217 () (tptp.bomb @t168 @t169)) % 0.37/0.62 (define @t218 () (forall @t163 (or (not (tptp.eiw_di @t160 @t169)) (and @t217 (tptp.h @t160 @t169) @t216)))) % 0.37/0.62 (define @t219 () (not @t218)) % 0.37/0.62 (define @t220 () (not @t214)) % 0.37/0.62 (define @t221 () (tptp.mrel tptp.mactual @t169)) % 0.37/0.62 (define @t222 () (not @t221)) % 0.37/0.62 (define @t223 () (or @t222 @t220 @t219)) % 0.37/0.62 (define @t224 () (@list true)) % 0.37/0.62 (define @t225 () (@list @t223)) % 0.37/0.62 (define @t226 () (tptp.defused @t168 @t54)) % 0.37/0.62 (define @t227 () (not (tptp.bomb @t168 @t54))) % 0.37/0.62 (define @t228 () (not (tptp.mrel @t169 @t54))) % 0.37/0.62 (define @t229 () (forall @t61 (or (not (tptp.eiw_di @t56 @t169)) (not (forall @t59 (or @t228 @t227 @t57 @t226)))))) % 0.37/0.62 (define @t230 () (not @t229)) % 0.37/0.62 (define @t231 () (or @t222 @t220 @t230)) % 0.37/0.62 (define @t232 () (@quantifiers_skolemize @t229 0)) % 0.37/0.62 (define @t233 () (forall @t59 (or @t228 @t227 (not (tptp.h @t232 @t54)) @t226))) % 0.37/0.62 (define @t234 () (not @t233)) % 0.37/0.62 (define @t235 () (tptp.eiw_di @t232 @t169)) % 0.37/0.62 (define @t236 () (not @t235)) % 0.37/0.62 (define @t237 () (or @t236 @t234)) % 0.37/0.62 (define @t238 () (@list @t237)) % 0.37/0.62 (define @t239 () (tptp.h @t232 @t169)) % 0.37/0.62 (define @t240 () (and @t217 @t239 @t216)) % 0.37/0.62 (define @t241 () (or @t236 @t240)) % 0.37/0.62 (define @t242 () (@list false false)) % 0.37/0.62 (define @t243 () (@list false)) % 0.37/0.62 (define @t244 () (and @t217 (tptp.h @t168 @t169) @t216)) % 0.37/0.62 (define @t245 () (or @t220 @t244)) % 0.37/0.62 (define @t246 () (not @t244)) % 0.37/0.62 (define @t247 () (@list @t244)) % 0.37/0.62 (define @t248 () (not @t239)) % 0.37/0.62 (define @t249 () (not @t217)) % 0.37/0.62 (define @t250 () (tptp.mrel @t169 @t169)) % 0.37/0.62 (define @t251 () (not @t250)) % 0.37/0.62 (define @t252 () (or @t251 @t249 @t248 @t215)) % 0.37/0.62 (define @t253 () (forall @t4 @t53)) % 0.37/0.62 (assume @p1 @t5) % 0.37/0.62 (assume @p2 (forall @t10 (exists @t9 @t8))) % 0.37/0.62 (assume @p3 (forall (@list @t2 @t1 @t6) (=> (and @t8 @t3) (_ @t7 @t1)))) % 0.37/0.62 (assume @p4 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mexists_di (lambda (@list @t12 @t11) (_ (_ tptp.bomb @t12) @t11)))))) % 0.37/0.62 (assume @p5 (_ tptp.mlocal (_ tptp.mexists_di (lambda (@list @t14 @t11) (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t16 (_ (_ (_ tptp.mimplies (_ @t15 (_ tptp.h @t14))) (_ tptp.mbox @t13)) @t11)))) @t11))))) % 0.37/0.62 (assume @p6 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di @t23)))) % 0.37/0.62 (assume @p7 @t26) % 0.37/0.62 (assume @p8 true) % 0.37/0.62 (step @p9 (= tptp.mlocal @t28) :rule refl :args (@t28)) % 0.37/0.62 (step @p10 (= tptp.mnot @t31) :rule refl :args (@t31)) % 0.37/0.62 (step @p11 (= tptp.mand @t35) :rule refl :args (@t35)) % 0.37/0.62 (step @p12 (= tptp.mor @t36) :rule refl :args (@t36)) % 0.37/0.62 (step @p13 (= tptp.mimplies @t37) :rule refl :args (@t37)) % 0.37/0.62 (step @p14 (= tptp.mequiv @t38) :rule refl :args (@t38)) % 0.37/0.62 (step @p15 (= tptp.mbox @t43) :rule refl :args (@t43)) % 0.37/0.62 (step @p16 (= tptp.mdia @t44) :rule refl :args (@t44)) % 0.37/0.62 (step @p17 (= tptp.mforall_di @t49) :rule refl :args (@t49)) % 0.37/0.62 (step @p18 (= tptp.mexists_di @t52) :rule refl :args (@t52)) % 0.37/0.62 (step @p19 :rule refl :args (@t53)) % 0.37/0.62 (step @p20 :rule refl :args (@t3)) % 0.37/0.62 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t3 @t53))) % 0.37/0.62 (step @p22 :rule symm :premises (@p21)) % 0.37/0.62 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.37/0.62 (step @p24 :rule cong :premises (@p23) :args (@t5)) % 0.37/0.62 (step @p25 :rule eq_resolve :premises (@p1 @p24)) % 0.37/0.62 (step @p26 :rule beta-reduce :args ((= @t69 (forall @t65 (or @t64 @t63 @t62))))) % 0.37/0.62 (step @p27 :rule beta-reduce :args ((= (_ @t28 @t68) @t69))) % 0.37/0.62 (step @p28 :rule trans :premises (@p27 @p26)) % 0.37/0.62 (step @p29 :rule aci_norm :args ((= @t71 @t67))) % 0.37/0.62 (step @p30 :rule cong :premises (@p29) :args (@t72)) % 0.37/0.62 (step @p31 :rule quant-merge-prenex :args ((= (forall @t40 @t74) @t72))) % 0.37/0.62 (step @p32 :rule alpha_equiv :args (@t75 (@list @t55) @t76)) % 0.37/0.62 (step @p33 :rule refl :args (@t66)) % 0.37/0.62 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t77)) % 0.37/0.62 (step @p35 :rule quant-miniscope-or :args ((= @t74 @t77))) % 0.37/0.62 (step @p36 :rule trans :premises (@p35 @p34)) % 0.37/0.62 (step @p37 :rule symm :premises (@p36)) % 0.37/0.62 (step @p38 :rule cong :premises (@p37) :args ((forall @t40 (or @t66 @t81)))) % 0.37/0.62 (step @p39 :rule trans :premises (@p38 @p31)) % 0.37/0.62 (step @p40 :rule trans :premises (@p39 @p30)) % 0.37/0.62 (step @p41 :rule beta-reduce :args ((= (_ (lambda @t10 (forall @t9 (or @t84 (not (forall @t61 (or @t82 (not (forall @t59 (or (not (tptp.mrel @t2 @t54)) @t79 @t57 @t78))))))))) @t1) @t81))) % 0.37/0.62 (step @p42 :rule refl :args (@t1)) % 0.37/0.62 (step @p43 :rule alpha_equiv :args (@t89 (@list @t1) (@list @t54))) % 0.37/0.62 (step @p44 :rule cong :premises (@p43) :args (@t90)) % 0.37/0.62 (step @p45 :rule refl :args (@t82)) % 0.37/0.62 (step @p46 :rule nary_cong :premises (@p45 @p44) :args (@t91)) % 0.37/0.62 (step @p47 :rule cong :premises (@p46) :args (@t92)) % 0.37/0.62 (step @p48 :rule cong :premises (@p47) :args (@t93)) % 0.37/0.62 (step @p49 :rule refl :args (@t84)) % 0.37/0.62 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t94)) % 0.37/0.62 (step @p51 :rule cong :premises (@p50) :args (@t95)) % 0.37/0.62 (step @p52 :rule cong :premises (@p51) :args (@t96)) % 0.37/0.62 (step @p53 :rule ho_cong :premises (@p52 @p42)) % 0.37/0.62 (step @p54 :rule trans :premises (@p53 @p41)) % 0.37/0.62 (step @p55 :rule refl :args (@t66)) % 0.37/0.62 (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t97)) % 0.37/0.62 (step @p57 :rule cong :premises (@p56) :args (@t98)) % 0.37/0.62 (step @p58 :rule trans :premises (@p57 @p40)) % 0.37/0.62 (step @p59 :rule cong :premises (@p58) :args (@t99)) % 0.37/0.62 (step @p60 :rule beta-reduce :args ((= (_ @t101 @t96) @t99))) % 0.37/0.62 (step @p61 :rule trans :premises (@p60 @p59)) % 0.37/0.62 (step @p62 :rule beta-reduce :args ((= @t105 @t93))) % 0.37/0.62 (step @p63 :rule refl :args (@t84)) % 0.37/0.62 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t106)) % 0.37/0.62 (step @p65 :rule cong :premises (@p64) :args (@t107)) % 0.37/0.62 (step @p66 :rule cong :premises (@p65) :args (@t108)) % 0.37/0.62 (step @p67 :rule beta-reduce :args ((= (_ @t110 @t104) @t108))) % 0.37/0.62 (step @p68 :rule trans :premises (@p67 @p66)) % 0.37/0.62 (step @p69 :rule beta-reduce :args ((= (_ (lambda @t10 @t93) @t11) @t103))) % 0.37/0.62 (step @p70 :rule refl :args (@t11)) % 0.37/0.62 (step @p71 :rule beta-reduce :args ((= @t115 @t89))) % 0.37/0.62 (step @p72 :rule cong :premises (@p71) :args (@t116)) % 0.37/0.62 (step @p73 :rule refl :args (@t82)) % 0.37/0.62 (step @p74 :rule nary_cong :premises (@p73 @p72) :args (@t117)) % 0.37/0.62 (step @p75 :rule cong :premises (@p74) :args (@t118)) % 0.37/0.62 (step @p76 :rule cong :premises (@p75) :args (@t119)) % 0.37/0.62 (step @p77 :rule cong :premises (@p76) :args (@t120)) % 0.37/0.62 (step @p78 :rule beta-reduce :args ((= (_ (lambda @t48 (not (forall @t61 (or @t82 (not (_ @t45 @t56 @t2)))))) @t114) @t120))) % 0.37/0.62 (step @p79 :rule trans :premises (@p78 @p77)) % 0.37/0.62 (step @p80 :rule refl :args (@t114)) % 0.37/0.62 (step @p81 :rule alpha_equiv :args (@t121 @t76 (@list @t56))) % 0.37/0.62 (step @p82 :rule cong :premises (@p81) :args (@t122)) % 0.37/0.62 (step @p83 :rule cong :premises (@p82) :args (@t123)) % 0.37/0.62 (step @p84 :rule ho_cong :premises (@p83 @p80)) % 0.37/0.62 (step @p85 :rule trans :premises (@p84 @p79)) % 0.37/0.62 (step @p86 :rule beta-reduce :args ((= (_ (lambda @t10 (forall @t40 (or @t66 @t88 @t112 @t85))) @t11) @t113))) % 0.37/0.62 (step @p87 :rule refl :args (@t85)) % 0.37/0.62 (step @p88 :rule refl :args (@t124)) % 0.37/0.62 (step @p89 :rule cong :premises (@p88 @p87) :args ((= @t124 @t85))) % 0.37/0.62 (step @p90 :rule symm :premises (@p89)) % 0.37/0.62 (step @p91 :rule eq_resolve :premises (@p88 @p90)) % 0.37/0.62 (step @p92 :rule refl :args (@t111)) % 0.37/0.62 (step @p93 :rule refl :args (@t125)) % 0.37/0.62 (step @p94 :rule cong :premises (@p93 @p92) :args ((= @t125 @t111))) % 0.37/0.62 (step @p95 :rule symm :premises (@p94)) % 0.37/0.62 (step @p96 :rule eq_resolve :premises (@p93 @p95)) % 0.37/0.62 (step @p97 :rule cong :premises (@p96) :args (@t126)) % 0.37/0.62 (step @p98 :rule refl :args (@t87)) % 0.37/0.62 (step @p99 :rule refl :args (@t127)) % 0.37/0.62 (step @p100 :rule cong :premises (@p99 @p98) :args ((= @t127 @t87))) % 0.37/0.62 (step @p101 :rule symm :premises (@p100)) % 0.37/0.62 (step @p102 :rule eq_resolve :premises (@p99 @p101)) % 0.37/0.62 (step @p103 :rule cong :premises (@p102) :args (@t128)) % 0.37/0.62 (step @p104 :rule nary_cong :premises (@p33 @p103 @p97 @p91) :args (@t129)) % 0.37/0.62 (step @p105 :rule cong :premises (@p104) :args ((forall @t40 @t129))) % 0.37/0.62 (step @p106 :rule aci_norm :args ((= (or @t66 @t130) @t129))) % 0.37/0.62 (step @p107 :rule aci_norm :args ((= (or (or @t128 @t126) @t124) @t130))) % 0.37/0.62 (step @p108 :rule bool-and-de-morgan :args (@t127 @t125 true)) % 0.37/0.62 (step @p109 :rule nary_cong :premises (@p108 @p88) :args ((or (not @t131) @t124))) % 0.37/0.62 (step @p110 :rule trans :premises (@p109 @p107)) % 0.37/0.62 (step @p111 :rule bool-impl-elim :args (@t131 @t124)) % 0.37/0.62 (step @p112 :rule trans :premises (@p111 @p110)) % 0.37/0.62 (step @p113 :rule nary_cong :premises (@p33 @p112) :args (@t133)) % 0.37/0.62 (step @p114 :rule trans :premises (@p113 @p106)) % 0.37/0.62 (step @p115 :rule cong :premises (@p114) :args ((forall @t40 @t133))) % 0.37/0.62 (step @p116 :rule trans :premises (@p115 @p105)) % 0.37/0.62 (step @p117 :rule beta-reduce :args ((= @t138 @t132))) % 0.37/0.62 (step @p118 :rule nary_cong :premises (@p55 @p117) :args (@t139)) % 0.37/0.62 (step @p119 :rule cong :premises (@p118) :args (@t140)) % 0.37/0.62 (step @p120 :rule trans :premises (@p119 @p116)) % 0.37/0.62 (step @p121 :rule cong :premises (@p120) :args (@t141)) % 0.37/0.62 (step @p122 :rule beta-reduce :args ((= (_ @t101 @t137) @t141))) % 0.37/0.62 (step @p123 :rule trans :premises (@p122 @p121)) % 0.37/0.62 (step @p124 :rule beta-reduce :args ((= (_ (lambda @t142 (=> @t136 @t33)) @t17) @t137))) % 0.37/0.62 (step @p125 :rule refl :args (@t17)) % 0.37/0.62 (step @p126 :rule refl :args (@t33)) % 0.37/0.62 (step @p127 :rule beta-reduce :args ((= @t144 @t136))) % 0.37/0.62 (step @p128 :rule cong :premises (@p127 @p126) :args (@t145)) % 0.37/0.62 (step @p129 :rule cong :premises (@p128) :args (@t146)) % 0.37/0.62 (step @p130 :rule beta-reduce :args ((= (_ @t37 @t143) @t146))) % 0.37/0.62 (step @p131 :rule trans :premises (@p130 @p129)) % 0.37/0.62 (step @p132 :rule beta-reduce :args ((= (_ @t147 @t19) @t143))) % 0.37/0.62 (step @p133 :rule refl :args (@t19)) % 0.37/0.62 (step @p134 :rule beta-reduce :args ((= @t148 @t147))) % 0.37/0.62 (step @p135 :rule ho_cong :premises (@p134 @p133)) % 0.37/0.62 (step @p136 :rule trans :premises (@p135 @p132)) % 0.37/0.62 (step @p137 :rule refl :args (@t37)) % 0.37/0.62 (step @p138 :rule ho_cong :premises (@p137 @p136)) % 0.37/0.62 (step @p139 :rule trans :premises (@p138 @p131)) % 0.37/0.62 (step @p140 :rule ho_cong :premises (@p139 @p125)) % 0.37/0.62 (step @p141 :rule trans :premises (@p140 @p124)) % 0.37/0.62 (step @p142 :rule refl :args (@t101)) % 0.37/0.62 (step @p143 :rule ho_cong :premises (@p142 @p141)) % 0.37/0.62 (step @p144 :rule trans :premises (@p143 @p123)) % 0.37/0.62 (step @p145 :rule ho_cong :premises (@p144 @p70)) % 0.37/0.62 (step @p146 :rule trans :premises (@p145 @p86)) % 0.37/0.62 (step @p147 :rule cong :premises (@p146) :args (@t150)) % 0.37/0.62 (step @p148 :rule refl :args (@t123)) % 0.37/0.62 (step @p149 :rule ho_cong :premises (@p148 @p147)) % 0.37/0.62 (step @p150 :rule trans :premises (@p149 @p85)) % 0.37/0.62 (step @p151 :rule ho_cong :premises (@p150 @p70)) % 0.37/0.62 (step @p152 :rule trans :premises (@p151 @p69)) % 0.37/0.62 (step @p153 :rule cong :premises (@p152) :args ((lambda @t16 (_ (_ @t123 @t150) @t11)))) % 0.37/0.62 (step @p154 :rule refl :args (@t110)) % 0.37/0.62 (step @p155 :rule ho_cong :premises (@p154 @p153)) % 0.37/0.62 (step @p156 :rule trans :premises (@p155 @p68)) % 0.37/0.62 (step @p157 :rule ho_cong :premises (@p142 @p156)) % 0.37/0.62 (step @p158 :rule trans :premises (@p157 @p61)) % 0.37/0.62 (step @p159 :rule refl :args (@t28)) % 0.37/0.62 (step @p160 :rule ho_cong :premises (@p159 @p158)) % 0.37/0.62 (step @p161 :rule trans :premises (@p160 @p28)) % 0.37/0.62 (step @p162 :rule refl :args (@t13)) % 0.37/0.62 (step @p163 :rule ho_cong :premises (@p11 @p162)) % 0.37/0.62 (step @p164 :rule ho_cong :premises (@p163 @p133)) % 0.37/0.62 (step @p165 :rule ho_cong :premises (@p13 @p164)) % 0.37/0.62 (step @p166 :rule ho_cong :premises (@p165 @p125)) % 0.37/0.62 (step @p167 :rule refl :args (@t100)) % 0.37/0.62 (step @p168 :rule refl :args (@t39)) % 0.37/0.62 (step @p169 :rule cong :premises (@p168 @p167) :args ((= @t39 @t100))) % 0.37/0.62 (step @p170 :rule symm :premises (@p169)) % 0.37/0.62 (step @p171 :rule eq_resolve :premises (@p168 @p170)) % 0.37/0.62 (step @p172 :rule cong :premises (@p23) :args (@t151)) % 0.37/0.62 (step @p173 :rule nary_cong :premises (@p172 @p171) :args (@t152)) % 0.37/0.62 (step @p174 :rule cong :premises (@p173) :args ((forall @t40 @t152))) % 0.37/0.62 (step @p175 :rule bool-impl-elim :args (@t3 @t39)) % 0.37/0.62 (step @p176 :rule cong :premises (@p175) :args (@t41)) % 0.37/0.62 (step @p177 :rule trans :premises (@p176 @p174)) % 0.37/0.62 (step @p178 :rule cong :premises (@p177) :args (@t43)) % 0.37/0.62 (step @p179 :rule trans :premises (@p15 @p178)) % 0.37/0.62 (step @p180 :rule ho_cong :premises (@p179 @p166)) % 0.37/0.62 (step @p181 :rule ho_cong :premises (@p180 @p70)) % 0.37/0.62 (step @p182 :rule cong :premises (@p181) :args (@t22)) % 0.37/0.62 (step @p183 :rule refl :args (@t109)) % 0.37/0.62 (step @p184 :rule refl :args (@t46)) % 0.37/0.62 (step @p185 :rule cong :premises (@p184 @p183) :args ((= @t46 @t109))) % 0.37/0.62 (step @p186 :rule symm :premises (@p185)) % 0.37/0.62 (step @p187 :rule eq_resolve :premises (@p184 @p186)) % 0.37/0.62 (step @p188 :rule cong :premises (@p187) :args (@t153)) % 0.37/0.62 (step @p189 :rule refl :args (@t83)) % 0.37/0.62 (step @p190 :rule refl :args (@t8)) % 0.37/0.62 (step @p191 :rule cong :premises (@p190 @p189) :args ((= @t8 @t83))) % 0.37/0.62 (step @p192 :rule symm :premises (@p191)) % 0.37/0.62 (step @p193 :rule eq_resolve :premises (@p190 @p192)) % 0.37/0.62 (step @p194 :rule cong :premises (@p193) :args (@t154)) % 0.37/0.62 (step @p195 :rule nary_cong :premises (@p194 @p188) :args (@t155)) % 0.37/0.62 (step @p196 :rule cong :premises (@p195) :args ((forall @t9 @t155))) % 0.37/0.62 (step @p197 :rule bool-and-de-morgan :args (@t8 @t46 true)) % 0.37/0.62 (step @p198 :rule cong :premises (@p197) :args (@t156)) % 0.37/0.62 (step @p199 :rule trans :premises (@p198 @p196)) % 0.37/0.62 (step @p200 :rule cong :premises (@p199) :args (@t157)) % 0.37/0.62 (step @p201 :rule exists-elim :args ((= @t51 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(step @p231 :rule symm :premises (@p230)) % 0.37/0.62 (step @p232 :rule cong :premises (@p231) :args ((forall @t40 (or @t66 @t180)))) % 0.37/0.62 (step @p233 :rule trans :premises (@p232 @p226)) % 0.37/0.62 (step @p234 :rule trans :premises (@p233 @p225)) % 0.37/0.62 (step @p235 :rule beta-reduce :args ((= @t187 @t180))) % 0.37/0.62 (step @p236 :rule nary_cong :premises (@p55 @p235) :args (@t188)) % 0.37/0.62 (step @p237 :rule cong :premises (@p236) :args (@t189)) % 0.37/0.62 (step @p238 :rule trans :premises (@p237 @p234)) % 0.37/0.62 (step @p239 :rule cong :premises (@p238) :args (@t190)) % 0.37/0.62 (step @p240 :rule beta-reduce :args ((= (_ @t101 @t186) @t190))) % 0.37/0.62 (step @p241 :rule trans :premises (@p240 @p239)) % 0.37/0.62 (step @p242 :rule beta-reduce :args ((= @t193 @t185))) % 0.37/0.62 (step @p243 :rule nary_cong :premises (@p63 @p242) :args (@t194)) % 0.37/0.62 (step @p244 :rule cong :premises (@p243) :args (@t195)) % 0.37/0.62 (step @p245 :rule cong :premises 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(step @p305 :rule trans :premises (@p304 @p223)) % 0.37/0.62 (step @p306 :rule cong :premises (@p305) :args ((not (_ @t28 (_ @t101 (_ @t110 @t213)))))) % 0.37/0.62 (step @p307 :rule ho_cong :premises (@p166 @p70)) % 0.37/0.62 (step @p308 :rule cong :premises (@p307) :args (@t24)) % 0.37/0.62 (step @p309 :rule ho_cong :premises (@p204 @p308)) % 0.37/0.62 (step @p310 :rule ho_cong :premises (@p309 @p70)) % 0.37/0.62 (step @p311 :rule cong :premises (@p310) :args (@t25)) % 0.37/0.62 (step @p312 :rule ho_cong :premises (@p214 @p311)) % 0.37/0.62 (step @p313 :rule ho_cong :premises (@p179 @p312)) % 0.37/0.62 (step @p314 :rule ho_cong :premises (@p9 @p313)) % 0.37/0.62 (step @p315 :rule cong :premises (@p314) :args (@t26)) % 0.37/0.62 (step @p316 :rule trans :premises (@p315 @p306)) % 0.37/0.62 (step @p317 :rule eq_resolve :premises (@p7 @p316)) % 0.37/0.62 (step @p318 :rule skolemize :premises (@p317)) % 0.37/0.62 (step @p319 :rule bool-double-not-elim :args (@t214)) % 0.37/0.62 (step @p320 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:premises (@p332) :args ((or @t222 @t220 @t230 (not @t231)))) % 0.37/0.62 (step @p334 :rule chain_m_resolution :premises (@p333 @p331 @p325 @p220) :args (@t230 (@list false false false) (@list @t221 @t214 @t231))) % 0.37/0.62 (step @p335 :rule skolemize :premises (@p334)) % 0.37/0.62 (step @p336 :rule bool-double-not-elim :args (@t233)) % 0.37/0.62 (step @p337 :rule refl :args (@t237)) % 0.37/0.62 (step @p338 :rule nary_cong :premises (@p337 @p336) :args ((or @t237 (not @t234)))) % 0.37/0.62 (step @p339 :rule cnf_or_neg :args (@t237 1)) % 0.37/0.62 (step @p340 :rule eq_resolve :premises (@p339 @p338)) % 0.37/0.62 (step @p341 :rule reordering :premises (@p340) :args ((or @t233 @t237))) % 0.37/0.62 (step @p342 :rule chain_m_resolution :premises (@p341 @p335) :args (@t233 @t224 @t238)) % 0.37/0.62 (step @p343 :rule instantiate :premises (@p342) :args ((@list @t169))) % 0.37/0.62 (step @p344 :rule bool-double-not-elim :args (@t218)) % 0.37/0.62 (step @p345 :rule nary_cong :premises (@p320 @p344) :args ((or @t223 (not @t219)))) % 0.37/0.62 (step @p346 :rule cnf_or_neg :args (@t223 2)) % 0.37/0.62 (step @p347 :rule eq_resolve :premises (@p346 @p345)) % 0.37/0.62 (step @p348 :rule reordering :premises (@p347) :args ((or @t218 @t223))) % 0.37/0.62 (step @p349 :rule chain_m_resolution :premises (@p348 @p318) :args (@t218 @t224 @t225)) % 0.37/0.62 (step @p350 :rule instantiate :premises (@p349) :args ((@list @t232))) % 0.37/0.62 (step @p351 :rule bool-double-not-elim :args (@t235)) % 0.37/0.62 (step @p352 :rule nary_cong :premises (@p337 @p351) :args ((or @t237 (not @t236)))) % 0.37/0.62 (step @p353 :rule cnf_or_neg :args (@t237 0)) % 0.37/0.62 (step @p354 :rule eq_resolve :premises (@p353 @p352)) % 0.37/0.62 (step @p355 :rule reordering :premises (@p354) :args ((or @t235 @t237))) % 0.37/0.62 (step @p356 :rule chain_m_resolution :premises (@p355 @p335) :args (@t235 @t224 @t238)) % 0.37/0.62 (step @p357 :rule cnf_or_pos :args (@t241)) % 0.37/0.62 (step @p358 :rule reordering :premises (@p357) :args ((or @t236 @t240 (not @t241)))) % 0.37/0.62 (step @p359 :rule chain_m_resolution :premises (@p358 @p356 @p350) :args (@t240 @t242 (@list @t235 @t241))) % 0.37/0.62 (step @p360 :rule cnf_and_pos :args (@t240 1)) % 0.37/0.62 (step @p361 :rule reordering :premises (@p360) :args ((or @t239 (not @t240)))) % 0.37/0.62 (step @p362 :rule chain_m_resolution :premises (@p361 @p359) :args (@t239 @t243 (@list @t240))) % 0.37/0.62 (step @p363 :rule instantiate :premises (@p349) :args ((@list @t168))) % 0.37/0.62 (step @p364 :rule cnf_or_pos :args (@t245)) % 0.37/0.62 (step @p365 :rule reordering :premises (@p364) :args ((or @t220 @t244 (not @t245)))) % 0.37/0.62 (step @p366 :rule chain_m_resolution :premises (@p365 @p325 @p363) :args (@t244 @t242 (@list @t214 @t245))) % 0.37/0.62 (step @p367 :rule cnf_and_pos :args (@t244 0)) % 0.37/0.62 (step @p368 :rule reordering :premises (@p367) :args ((or @t217 @t246))) % 0.37/0.62 (step @p369 :rule chain_m_resolution :premises (@p368 @p366) :args (@t217 @t243 @t247)) % 0.37/0.62 (step @p370 :rule cnf_and_pos :args (@t244 2)) % 0.37/0.62 (step @p371 :rule reordering :premises (@p370) :args ((or @t216 @t246))) % 0.37/0.62 (step @p372 :rule chain_m_resolution :premises (@p371 @p366) :args (@t216 @t243 @t247)) % 0.37/0.62 (step @p373 :rule cnf_or_pos :args (@t252)) % 0.37/0.62 (step @p374 :rule reordering :premises (@p373) :args ((or @t215 @t249 @t251 @t248 (not @t252)))) % 0.37/0.62 (step @p375 :rule chain_m_resolution :premises (@p374 @p372 @p369 @p362 @p343) :args (@t251 (@list true false false false) (@list @t215 @t217 @t239 @t252))) % 0.37/0.62 (assume-push @p382 @t253) % 0.37/0.62 (step @p377 :rule instantiate :premises (@p25) :args ((@list @t169 @t169))) % 0.37/0.62 (step-pop @p383 :rule scope :premises (@p377)) % 0.37/0.62 (step @p378 :rule process_scope :premises (@p383) :args (@t250)) % 0.37/0.62 (step @p380 :rule implies_elim :premises (@p378)) % 0.37/0.62 (step @p381 false :rule chain_m_resolution :premises (@p380 @p375 @p25) :args (false (@list true false) (@list @t250 @t253))) % 0.37/0.62 ) % 0.37/0.62 % SZS output end Proof % 0.37/0.62 % cvc5 exiting %------------------------------------------------------------------------------