%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET063^4 : 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 : n011.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 08:47:12 AM UTC 2026 % Result : Theorem 0.48s 0.68s % Output : Proof 0.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SET063^4 : TPTP v9.2.1. Released v8.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n011.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 14:49:35 EDT 2026 % 0.17/0.35 % CPUTime : % 0.35/0.52 %----Proving TH0 % 0.48/0.68 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.48/0.68 % SZS status Theorem % 0.48/0.68 % SZS output start Proof % 0.48/0.68 ( % 0.48/0.68 (declare-sort $$unsorted 0) % 0.48/0.68 (declare-sort tptp.mworld 0) % 0.48/0.68 (declare-const tptp.mactual tptp.mworld) % 0.48/0.68 (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool)) % 0.48/0.68 (declare-const tptp.empty_set $$unsorted) % 0.48/0.68 (declare-const tptp.subset (-> $$unsorted $$unsorted tptp.mworld Bool)) % 0.48/0.68 (declare-const tptp.member (-> $$unsorted $$unsorted tptp.mworld Bool)) % 0.48/0.68 (declare-const tptp.equal_set (-> $$unsorted $$unsorted tptp.mworld Bool)) % 0.48/0.68 (declare-const tptp.qmltpeq (-> $$unsorted $$unsorted tptp.mworld Bool)) % 0.48/0.68 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.68 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.48/0.68 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.48/0.68 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.48/0.68 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.68 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.68 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.48/0.68 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.68 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 0.48/0.68 (define tptp.mnot () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.48/0.68 (define tptp.mand () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.48/0.68 (define tptp.mor () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.48/0.68 (define tptp.mimplies () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (=> (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.48/0.68 (define tptp.mequiv () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.48/0.68 (define tptp.mbox () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 0.48/0.68 (define tptp.mdia () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (exists (@list _let_1) (and (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 0.48/0.68 (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))))))) % 0.48/0.68 (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))))))) % 0.48/0.68 (define @t1 () (@var "W" tptp.mworld)) % 0.48/0.68 (define @t2 () (_ tptp.mrel @t1)) % 0.48/0.68 (define @t3 () (@list @t1)) % 0.48/0.68 (define @t4 () (@var "U" tptp.mworld)) % 0.48/0.68 (define @t5 () (@var "V" tptp.mworld)) % 0.48/0.68 (define @t6 () (_ @t2 @t5)) % 0.48/0.68 (define @t7 () (@var "__flatten_var_0" tptp.mworld)) % 0.48/0.68 (define @t8 () (@var "X" $$unsorted)) % 0.48/0.68 (define @t9 () (_ tptp.qmltpeq @t8)) % 0.48/0.68 (define @t10 () (@list @t8 @t7)) % 0.48/0.68 (define @t11 () (@var "Y" $$unsorted)) % 0.48/0.68 (define @t12 () (_ tptp.qmltpeq @t11)) % 0.48/0.68 (define @t13 () (_ @t9 @t11)) % 0.48/0.68 (define @t14 () (@list @t11 @t7)) % 0.48/0.68 (define @t15 () (@var "Z" $$unsorted)) % 0.48/0.68 (define @t16 () (@var "C" $$unsorted)) % 0.48/0.68 (define @t17 () (@var "B" $$unsorted)) % 0.48/0.68 (define @t18 () (@var "A" $$unsorted)) % 0.48/0.68 (define @t19 () (_ (_ tptp.qmltpeq @t18) @t17)) % 0.48/0.68 (define @t20 () (_ tptp.mimplies @t19)) % 0.48/0.68 (define @t21 () (@list @t16 @t7)) % 0.48/0.68 (define @t22 () (@list @t17 @t7)) % 0.48/0.68 (define @t23 () (@list @t18 @t7)) % 0.48/0.68 (define @t24 () (_ tptp.difference @t16)) % 0.48/0.68 (define @t25 () (_ tptp.intersection @t18)) % 0.48/0.68 (define @t26 () (_ tptp.intersection @t16)) % 0.48/0.68 (define @t27 () (_ tptp.power_set @t18)) % 0.48/0.68 (define @t28 () (_ tptp.product @t18)) % 0.48/0.68 (define @t29 () (_ tptp.singleton @t18)) % 0.48/0.68 (define @t30 () (_ tptp.sum @t18)) % 0.48/0.68 (define @t31 () (_ tptp.union @t18)) % 0.48/0.68 (define @t32 () (_ tptp.union @t16)) % 0.48/0.68 (define @t33 () (_ tptp.unordered_pair @t18)) % 0.48/0.68 (define @t34 () (_ tptp.unordered_pair @t16)) % 0.48/0.68 (define @t35 () (_ tptp.equal_set @t18)) % 0.48/0.68 (define @t36 () (_ tptp.mand @t19)) % 0.48/0.68 (define @t37 () (_ tptp.equal_set @t16)) % 0.48/0.68 (define @t38 () (_ tptp.member @t17)) % 0.48/0.68 (define @t39 () (_ tptp.member @t16)) % 0.48/0.68 (define @t40 () (_ tptp.subset @t17)) % 0.48/0.68 (define @t41 () (_ tptp.subset @t18)) % 0.48/0.68 (define @t42 () (_ tptp.subset @t16)) % 0.48/0.68 (define @t43 () (_ tptp.member @t8)) % 0.48/0.68 (define @t44 () (_ @t43 @t17)) % 0.48/0.68 (define @t45 () (_ @t43 @t18)) % 0.48/0.68 (define @t46 () (lambda @t10 (_ (_ (_ tptp.mimplies @t45) @t44) @t7))) % 0.48/0.68 (define @t47 () (_ @t41 @t17)) % 0.48/0.68 (define @t48 () (lambda @t22 (_ (_ (_ tptp.mequiv @t47) (_ tptp.mforall_di @t46)) @t7))) % 0.48/0.68 (define @t49 () (lambda @t23 (_ (_ tptp.mforall_di @t48) @t7))) % 0.48/0.68 (define @t50 () (_ @t40 @t18)) % 0.48/0.68 (define @t51 () (_ @t35 @t17)) % 0.48/0.68 (define @t52 () (lambda @t22 (_ (_ (_ tptp.mequiv @t51) (_ (_ tptp.mand @t47) @t50)) @t7))) % 0.48/0.68 (define @t53 () (lambda @t23 (_ (_ tptp.mforall_di @t52) @t7))) % 0.48/0.68 (define @t54 () (_ (_ tptp.subset @t8) @t18)) % 0.48/0.68 (define @t55 () (_ @t43 (_ @t25 @t17))) % 0.48/0.68 (define @t56 () (lambda @t22 (_ (_ (_ tptp.mequiv @t55) (_ (_ tptp.mand @t45) @t44)) @t7))) % 0.48/0.68 (define @t57 () (lambda @t23 (_ (_ tptp.mforall_di @t56) @t7))) % 0.48/0.68 (define @t58 () (lambda @t10 (_ (_ tptp.mforall_di @t57) @t7))) % 0.48/0.68 (define @t59 () (_ @t43 tptp.empty_set)) % 0.48/0.68 (define @t60 () (lambda @t10 (_ (_ tptp.mnot @t59) @t7))) % 0.48/0.68 (define @t61 () (@var "E" $$unsorted)) % 0.48/0.68 (define @t62 () (_ @t9 @t18)) % 0.48/0.68 (define @t63 () (_ @t43 @t11)) % 0.48/0.68 (define @t64 () (_ (_ tptp.member @t11) @t18)) % 0.48/0.68 (define @t65 () (lambda @t23 (_ (_ (_ tptp.equal_set (_ @t25 tptp.empty_set)) tptp.empty_set) @t7))) % 0.48/0.68 (define @t66 () (not (_ tptp.mlocal (_ tptp.mforall_di @t65)))) % 0.48/0.68 (define @t67 () (@var "Phi" (-> tptp.mworld Bool))) % 0.48/0.68 (define @t68 () (lambda (@list @t67) (_ @t67 tptp.mactual))) % 0.48/0.68 (define @t69 () (@var "A" (-> tptp.mworld Bool))) % 0.48/0.68 (define @t70 () (_ @t69 @t1)) % 0.48/0.68 (define @t71 () (lambda (@list @t69 @t1) (not @t70))) % 0.48/0.68 (define @t72 () (@var "B" (-> tptp.mworld Bool))) % 0.48/0.68 (define @t73 () (_ @t72 @t1)) % 0.48/0.68 (define @t74 () (@list @t69 @t72 @t1)) % 0.48/0.68 (define @t75 () (lambda @t74 (and @t70 @t73))) % 0.48/0.68 (define @t76 () (lambda @t74 (or @t70 @t73))) % 0.48/0.68 (define @t77 () (lambda @t74 (=> @t70 @t73))) % 0.48/0.68 (define @t78 () (lambda @t74 (= @t70 @t73))) % 0.48/0.68 (define @t79 () (_ @t67 @t5)) % 0.48/0.68 (define @t80 () (@list @t5)) % 0.48/0.68 (define @t81 () (@list @t67 @t1)) % 0.48/0.68 (define @t82 () (lambda @t81 (forall @t80 (=> @t6 @t79)))) % 0.48/0.68 (define @t83 () (lambda @t81 (exists @t80 (and @t6 @t79)))) % 0.48/0.68 (define @t84 () (@var "A" (-> $$unsorted tptp.mworld Bool))) % 0.48/0.68 (define @t85 () (_ (_ @t84 @t8) @t1)) % 0.48/0.68 (define @t86 () (@list @t8)) % 0.48/0.68 (define @t87 () (forall @t86 @t85)) % 0.48/0.68 (define @t88 () (@list @t84 @t1)) % 0.48/0.68 (define @t89 () (lambda @t88 @t87)) % 0.48/0.68 (define @t90 () (lambda @t88 (exists @t86 @t85))) % 0.48/0.68 (define @t91 () (forall @t86 (not (tptp.member @t8 tptp.empty_set tptp.mactual)))) % 0.48/0.68 (define @t92 () (tptp.member @t8 tptp.empty_set @t1)) % 0.48/0.68 (define @t93 () (lambda @t3 (forall @t86 (not @t92)))) % 0.48/0.68 (define @t94 () (_ @t93 tptp.mactual)) % 0.48/0.68 (define @t95 () (_ @t59 @t1)) % 0.48/0.68 (define @t96 () (not @t95)) % 0.48/0.68 (define @t97 () (not (_ @t59 @t7))) % 0.48/0.68 (define @t98 () (lambda @t10 @t97)) % 0.48/0.68 (define @t99 () (_ @t98 @t8 @t1)) % 0.48/0.68 (define @t100 () (forall @t86 @t99)) % 0.48/0.68 (define @t101 () (lambda @t3 @t100)) % 0.48/0.68 (define @t102 () (_ @t84 @t8 @t1)) % 0.48/0.68 (define @t103 () (forall @t86 @t102)) % 0.48/0.68 (define @t104 () (lambda @t88 @t103)) % 0.48/0.68 (define @t105 () (lambda @t3 @t96)) % 0.48/0.68 (define @t106 () (_ @t71 @t59)) % 0.48/0.68 (define @t107 () (@var "BOUND_VARIABLE_10581" $$unsorted)) % 0.48/0.68 (define @t108 () (@var "BOUND_VARIABLE_10547" $$unsorted)) % 0.48/0.68 (define @t109 () (@list @t108)) % 0.48/0.68 (define @t110 () (@list @t8 @t107)) % 0.48/0.68 (define @t111 () (tptp.member @t108 @t8 @t1)) % 0.48/0.68 (define @t112 () (= (tptp.subset @t8 @t107 @t1) (forall @t109 (or (not @t111) (tptp.member @t108 @t107 @t1))))) % 0.48/0.68 (define @t113 () (forall @t110 @t112)) % 0.48/0.68 (define @t114 () (lambda @t3 @t113)) % 0.48/0.68 (define @t115 () (_ @t114 tptp.mactual)) % 0.48/0.68 (define @t116 () (@list @t107)) % 0.48/0.68 (define @t117 () (forall @t116 @t112)) % 0.48/0.68 (define @t118 () (not (tptp.member @t108 @t18 @t7))) % 0.48/0.68 (define @t119 () (tptp.subset @t18 @t8 @t7)) % 0.48/0.68 (define @t120 () (forall @t86 (= @t119 (forall @t109 (or @t118 (tptp.member @t108 @t8 @t7)))))) % 0.48/0.68 (define @t121 () (@list @t8)) % 0.48/0.68 (define @t122 () (lambda @t23 @t120)) % 0.48/0.68 (define @t123 () (forall @t86 (_ @t122 @t8 @t1))) % 0.48/0.68 (define @t124 () (lambda @t3 @t123)) % 0.48/0.68 (define @t125 () (forall @t109 (or (not (tptp.member @t108 @t18 @t1)) @t111))) % 0.48/0.68 (define @t126 () (tptp.subset @t18 @t8 @t1)) % 0.48/0.68 (define @t127 () (_ (_ @t41 @t8) @t1)) % 0.48/0.68 (define @t128 () (= @t127 @t125)) % 0.48/0.68 (define @t129 () (_ @t47 @t7)) % 0.48/0.68 (define @t130 () (tptp.member @t8 @t18 @t7)) % 0.48/0.68 (define @t131 () (forall @t86 (or (not @t130) (tptp.member @t8 @t17 @t7)))) % 0.48/0.68 (define @t132 () (= @t131 @t129)) % 0.48/0.68 (define @t133 () (lambda @t22 @t132)) % 0.48/0.68 (define @t134 () (forall @t86 (_ @t133 @t8 @t1))) % 0.48/0.68 (define @t135 () (lambda @t3 @t134)) % 0.48/0.68 (define @t136 () (_ @t47 @t1)) % 0.48/0.68 (define @t137 () (tptp.member @t8 @t17 @t1)) % 0.48/0.68 (define @t138 () (tptp.member @t8 @t18 @t1)) % 0.48/0.68 (define @t139 () (forall @t86 (or (not @t138) @t137))) % 0.48/0.68 (define @t140 () (lambda @t3 @t139)) % 0.48/0.68 (define @t141 () (_ @t140 @t1)) % 0.48/0.68 (define @t142 () (lambda @t3 (= @t141 @t136))) % 0.48/0.68 (define @t143 () (@list @t72 @t1)) % 0.48/0.68 (define @t144 () (_ @t44 @t1)) % 0.48/0.68 (define @t145 () (_ @t45 @t1)) % 0.48/0.68 (define @t146 () (not @t145)) % 0.48/0.68 (define @t147 () (or @t146 @t144)) % 0.48/0.68 (define @t148 () (=> @t145 @t144)) % 0.48/0.68 (define @t149 () (_ @t44 @t7)) % 0.48/0.68 (define @t150 () (_ @t45 @t7)) % 0.48/0.68 (define @t151 () (=> @t150 @t149)) % 0.48/0.68 (define @t152 () (lambda @t10 @t151)) % 0.48/0.68 (define @t153 () (_ @t152 @t8 @t1)) % 0.48/0.68 (define @t154 () (forall @t86 @t153)) % 0.48/0.68 (define @t155 () (lambda @t3 @t154)) % 0.48/0.68 (define @t156 () (lambda @t3 @t148)) % 0.48/0.68 (define @t157 () (lambda @t143 (=> @t145 @t73))) % 0.48/0.68 (define @t158 () (_ @t77 @t45)) % 0.48/0.68 (define @t159 () (lambda @t10 (_ (_ @t158 @t44) @t7))) % 0.48/0.68 (define @t160 () (lambda @t143 (= @t136 @t73))) % 0.48/0.68 (define @t161 () (_ @t78 @t47)) % 0.48/0.68 (define @t162 () (lambda @t22 (_ (_ @t161 (_ @t104 @t159)) @t7))) % 0.48/0.68 (define @t163 () (tptp.intersection @t8 tptp.empty_set)) % 0.48/0.68 (define @t164 () (forall @t86 (tptp.equal_set @t163 tptp.empty_set tptp.mactual))) % 0.48/0.68 (define @t165 () (@quantifiers_skolemize @t164 0)) % 0.48/0.68 (define @t166 () (tptp.intersection @t165 tptp.empty_set)) % 0.48/0.68 (define @t167 () (@list @t166 tptp.empty_set)) % 0.48/0.68 (define @t168 () (tptp.member @t108 tptp.empty_set tptp.mactual)) % 0.48/0.68 (define @t169 () (tptp.member @t108 @t166 tptp.mactual)) % 0.48/0.68 (define @t170 () (forall @t109 (or (not @t169) @t168))) % 0.48/0.68 (define @t171 () (@quantifiers_skolemize @t170 0)) % 0.48/0.68 (define @t172 () (tptp.member @t171 @t166 tptp.mactual)) % 0.48/0.68 (define @t173 () (tptp.member @t171 tptp.empty_set tptp.mactual)) % 0.48/0.68 (define @t174 () (not @t172)) % 0.48/0.68 (define @t175 () (or @t174 @t173)) % 0.48/0.68 (define @t176 () (@var "BOUND_VARIABLE_10816" $$unsorted)) % 0.48/0.68 (define @t177 () (@var "BOUND_VARIABLE_10853" $$unsorted)) % 0.48/0.68 (define @t178 () (tptp.intersection @t177 @t176)) % 0.48/0.68 (define @t179 () (@list @t8 @t177 @t176)) % 0.48/0.68 (define @t180 () (tptp.member @t8 @t176 @t1)) % 0.48/0.68 (define @t181 () (= (tptp.member @t8 @t178 @t1) (and (tptp.member @t8 @t177 @t1) @t180))) % 0.48/0.68 (define @t182 () (forall @t179 @t181)) % 0.48/0.68 (define @t183 () (lambda @t3 @t182)) % 0.48/0.68 (define @t184 () (_ @t183 tptp.mactual)) % 0.48/0.68 (define @t185 () (@list @t177 @t176)) % 0.48/0.68 (define @t186 () (forall @t185 @t181)) % 0.48/0.68 (define @t187 () (tptp.member @t8 @t176 @t7)) % 0.48/0.68 (define @t188 () (forall @t185 (= (tptp.member @t8 @t178 @t7) (and (tptp.member @t8 @t177 @t7) @t187)))) % 0.48/0.68 (define @t189 () (lambda @t10 @t188)) % 0.48/0.68 (define @t190 () (_ @t189 @t8 @t1)) % 0.48/0.68 (define @t191 () (forall @t86 @t190)) % 0.48/0.68 (define @t192 () (lambda @t3 @t191)) % 0.48/0.68 (define @t193 () (@list @t176)) % 0.48/0.68 (define @t194 () (forall @t193 @t181)) % 0.48/0.68 (define @t195 () (@list @t177)) % 0.48/0.68 (define @t196 () (tptp.intersection @t18 @t176)) % 0.48/0.68 (define @t197 () (forall @t193 (= (tptp.member @t8 @t196 @t7) (and @t130 @t187)))) % 0.48/0.68 (define @t198 () (lambda @t23 @t197)) % 0.48/0.68 (define @t199 () (_ @t198 @t177 @t1)) % 0.48/0.68 (define @t200 () (forall @t195 @t199)) % 0.48/0.68 (define @t201 () (lambda @t3 @t200)) % 0.48/0.68 (define @t202 () (tptp.member @t8 @t196 @t1)) % 0.48/0.68 (define @t203 () (_ (_ @t43 @t176) @t1)) % 0.48/0.68 (define @t204 () (and @t145 @t203)) % 0.48/0.68 (define @t205 () (_ @t25 @t176)) % 0.48/0.68 (define @t206 () (_ (_ @t43 @t205) @t1)) % 0.48/0.68 (define @t207 () (= @t206 @t204)) % 0.48/0.68 (define @t208 () (= (_ @t55 @t7) (and @t150 @t149))) % 0.48/0.68 (define @t209 () (lambda @t22 @t208)) % 0.48/0.68 (define @t210 () (_ @t209 @t176 @t1)) % 0.48/0.68 (define @t211 () (forall @t193 @t210)) % 0.48/0.68 (define @t212 () (lambda @t3 @t211)) % 0.48/0.68 (define @t213 () (and @t145 @t144)) % 0.48/0.68 (define @t214 () (_ @t55 @t1)) % 0.48/0.68 (define @t215 () (lambda @t3 @t213)) % 0.48/0.68 (define @t216 () (_ @t215 @t1)) % 0.48/0.68 (define @t217 () (lambda @t3 (= @t216 @t214))) % 0.48/0.68 (define @t218 () (lambda @t143 (and @t145 @t73))) % 0.48/0.68 (define @t219 () (_ @t75 @t45)) % 0.48/0.68 (define @t220 () (lambda @t143 (= @t214 @t73))) % 0.48/0.68 (define @t221 () (_ @t78 @t55)) % 0.48/0.68 (define @t222 () (lambda @t22 (_ (_ @t221 (_ @t219 @t44)) @t7))) % 0.48/0.68 (define @t223 () (lambda @t23 (_ (_ @t104 @t222) @t7))) % 0.48/0.68 (define @t224 () (and (tptp.member @t171 @t165 tptp.mactual) @t173)) % 0.48/0.68 (define @t225 () (= @t172 @t224)) % 0.48/0.68 (define @t226 () (not @t175)) % 0.48/0.68 (define @t227 () (not @t170)) % 0.48/0.68 (define @t228 () (tptp.subset @t166 tptp.empty_set tptp.mactual)) % 0.48/0.68 (define @t229 () (= @t228 @t170)) % 0.48/0.68 (define @t230 () (@list false false)) % 0.48/0.68 (define @t231 () (@var "BOUND_VARIABLE_10673" $$unsorted)) % 0.48/0.68 (define @t232 () (@list @t8 @t231)) % 0.48/0.68 (define @t233 () (= (tptp.equal_set @t8 @t231 @t1) (and (tptp.subset @t8 @t231 @t1) (tptp.subset @t231 @t8 @t1)))) % 0.48/0.68 (define @t234 () (forall @t232 @t233)) % 0.48/0.68 (define @t235 () (lambda @t3 @t234)) % 0.48/0.68 (define @t236 () (_ @t235 tptp.mactual)) % 0.48/0.68 (define @t237 () (@list @t231)) % 0.48/0.68 (define @t238 () (forall @t237 @t233)) % 0.48/0.68 (define @t239 () (forall @t86 (= (tptp.equal_set @t18 @t8 @t7) (and @t119 (tptp.subset @t8 @t18 @t7))))) % 0.48/0.68 (define @t240 () (lambda @t23 @t239)) % 0.48/0.68 (define @t241 () (forall @t86 (_ @t240 @t8 @t1))) % 0.48/0.68 (define @t242 () (lambda @t3 @t241)) % 0.48/0.68 (define @t243 () (tptp.subset @t8 @t18 @t1)) % 0.48/0.68 (define @t244 () (tptp.equal_set @t18 @t8 @t1)) % 0.48/0.68 (define @t245 () (_ @t54 @t1)) % 0.48/0.68 (define @t246 () (and @t127 @t245)) % 0.48/0.68 (define @t247 () (_ (_ @t35 @t8) @t1)) % 0.48/0.68 (define @t248 () (= @t247 @t246)) % 0.48/0.68 (define @t249 () (= (_ @t51 @t7) (and @t129 (_ @t50 @t7)))) % 0.48/0.68 (define @t250 () (lambda @t22 @t249)) % 0.48/0.68 (define @t251 () (_ @t250 @t8 @t1)) % 0.48/0.68 (define @t252 () (forall @t86 @t251)) % 0.48/0.68 (define @t253 () (lambda @t3 @t252)) % 0.48/0.68 (define @t254 () (and @t136 (_ @t50 @t1))) % 0.48/0.68 (define @t255 () (_ @t51 @t1)) % 0.48/0.68 (define @t256 () (lambda @t3 @t254)) % 0.48/0.68 (define @t257 () (_ @t256 @t1)) % 0.48/0.68 (define @t258 () (lambda @t3 (= @t257 @t255))) % 0.48/0.68 (define @t259 () (lambda @t143 (and @t136 @t73))) % 0.48/0.68 (define @t260 () (_ @t75 @t47)) % 0.48/0.68 (define @t261 () (lambda @t143 (= @t255 @t73))) % 0.48/0.68 (define @t262 () (_ @t78 @t51)) % 0.48/0.68 (define @t263 () (lambda @t22 (_ (_ @t262 (_ @t260 @t50)) @t7))) % 0.48/0.68 (define @t264 () (tptp.equal_set @t163 tptp.empty_set @t1)) % 0.48/0.68 (define @t265 () (lambda @t3 (forall @t86 @t264))) % 0.48/0.68 (define @t266 () (_ @t265 tptp.mactual)) % 0.48/0.68 (define @t267 () (_ (_ tptp.intersection @t8) tptp.empty_set)) % 0.48/0.68 (define @t268 () (_ (_ (_ tptp.equal_set @t267) tptp.empty_set) @t1)) % 0.48/0.68 (define @t269 () (_ @t65 @t8 @t1)) % 0.48/0.68 (define @t270 () (forall @t86 @t269)) % 0.48/0.68 (define @t271 () (lambda @t3 @t270)) % 0.48/0.68 (define @t272 () (_ @t104 @t65)) % 0.48/0.68 (define @t273 () (tptp.subset tptp.empty_set @t166 tptp.mactual)) % 0.48/0.68 (define @t274 () (and @t228 @t273)) % 0.48/0.68 (define @t275 () (tptp.equal_set @t166 tptp.empty_set tptp.mactual)) % 0.48/0.68 (define @t276 () (= @t275 @t274)) % 0.48/0.68 (define @t277 () (not @t274)) % 0.48/0.68 (define @t278 () (@list true false)) % 0.48/0.68 (define @t279 () (forall @t109 (or (not @t168) @t169))) % 0.48/0.68 (define @t280 () (= @t273 @t279)) % 0.48/0.68 (define @t281 () (not @t279)) % 0.48/0.68 (define @t282 () (@quantifiers_skolemize @t279 0)) % 0.48/0.68 (define @t283 () (tptp.member @t282 tptp.empty_set tptp.mactual)) % 0.48/0.68 (define @t284 () (not @t283)) % 0.48/0.68 (define @t285 () (or @t284 (tptp.member @t282 @t166 tptp.mactual))) % 0.48/0.68 (define @t286 () (not @t285)) % 0.48/0.68 (define @t287 () (@list true)) % 0.48/0.68 (assume @p1 (forall @t3 (_ @t2 @t1))) % 0.48/0.68 (assume @p2 (forall (@list @t1 @t5 @t4) (=> (and @t6 (_ (_ tptp.mrel @t5) @t4)) (_ @t2 @t4)))) % 0.48/0.68 (assume @p3 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t10 (_ (_ @t9 @t8) @t7))))) % 0.48/0.68 (assume @p4 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t10 (_ (_ tptp.mforall_di (lambda @t14 (_ (_ (_ tptp.mimplies @t13) (_ @t12 @t8)) @t7))) @t7))))) % 0.48/0.68 (assume @p5 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t10 (_ (_ tptp.mforall_di (lambda @t14 (_ (_ tptp.mforall_di (lambda (@list @t15 @t7) (_ (_ (_ tptp.mimplies (_ (_ tptp.mand @t13) (_ @t12 @t15))) (_ @t9 @t15)) @t7))) @t7))) @t7))))) % 0.48/0.68 (assume @p6 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ @t20 (_ (_ tptp.qmltpeq (_ (_ tptp.difference @t18) @t16)) (_ (_ tptp.difference @t17) @t16))) @t7))) @t7))) @t7))))) % 0.48/0.68 (assume @p7 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ @t20 (_ (_ tptp.qmltpeq (_ @t24 @t18)) (_ @t24 @t17))) @t7))) @t7))) @t7))))) % 0.48/0.68 (assume @p8 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ @t20 (_ (_ tptp.qmltpeq (_ @t25 @t16)) (_ (_ tptp.intersection @t17) @t16))) @t7))) @t7))) @t7))))) % 0.48/0.68 (assume @p9 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ @t20 (_ (_ tptp.qmltpeq (_ @t26 @t18)) (_ @t26 @t17))) @t7))) @t7))) @t7))))) % 0.48/0.68 (assume @p10 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ @t20 (_ (_ tptp.qmltpeq @t27) (_ tptp.power_set @t17))) @t7))) @t7))))) % 0.48/0.68 (assume @p11 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ @t20 (_ (_ tptp.qmltpeq @t28) (_ tptp.product @t17))) @t7))) @t7))))) % 0.48/0.68 (assume @p12 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ @t20 (_ (_ tptp.qmltpeq @t29) (_ tptp.singleton @t17))) @t7))) @t7))))) % 0.48/0.68 (assume @p13 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ @t20 (_ (_ tptp.qmltpeq @t30) (_ tptp.sum @t17))) @t7))) @t7))))) % 0.48/0.68 (assume @p14 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ @t20 (_ (_ tptp.qmltpeq (_ @t31 @t16)) (_ (_ tptp.union @t17) @t16))) @t7))) @t7))) @t7))))) % 0.48/0.68 (assume @p15 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ @t20 (_ (_ tptp.qmltpeq (_ @t32 @t18)) (_ @t32 @t17))) @t7))) @t7))) @t7))))) % 0.48/0.68 (assume @p16 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ @t20 (_ (_ tptp.qmltpeq (_ @t33 @t16)) (_ (_ tptp.unordered_pair @t17) @t16))) @t7))) @t7))) @t7))))) % 0.48/0.68 (assume @p17 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ @t20 (_ (_ tptp.qmltpeq (_ @t34 @t18)) (_ @t34 @t17))) @t7))) @t7))) @t7))))) % 0.48/0.68 (assume @p18 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ (_ tptp.mimplies (_ @t36 (_ @t35 @t16))) (_ (_ tptp.equal_set @t17) @t16)) @t7))) @t7))) @t7))))) % 0.48/0.68 (assume @p19 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ (_ tptp.mimplies (_ @t36 (_ @t37 @t18))) (_ @t37 @t17)) @t7))) @t7))) @t7))))) % 0.48/0.68 (assume @p20 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ (_ tptp.mimplies (_ @t36 (_ (_ tptp.member @t18) @t16))) (_ @t38 @t16)) @t7))) @t7))) @t7))))) % 0.48/0.68 (assume @p21 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ (_ tptp.mimplies (_ @t36 (_ @t39 @t18))) (_ @t39 @t17)) @t7))) @t7))) @t7))))) % 0.48/0.68 (assume @p22 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ (_ tptp.mimplies (_ @t36 (_ @t41 @t16))) (_ @t40 @t16)) @t7))) @t7))) @t7))))) % 0.48/0.68 (assume @p23 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ (_ tptp.mimplies (_ @t36 (_ @t42 @t18))) (_ @t42 @t17)) @t7))) @t7))) @t7))))) % 0.48/0.68 (assume @p24 (_ tptp.mlocal (_ tptp.mforall_di @t49))) % 0.48/0.68 (assume @p25 (_ tptp.mlocal (_ tptp.mforall_di @t53))) % 0.48/0.68 (assume @p26 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t10 (_ (_ tptp.mforall_di (lambda @t23 (_ (_ (_ tptp.mequiv (_ @t43 @t27)) @t54) @t7))) @t7))))) % 0.48/0.68 (assume @p27 (_ tptp.mlocal (_ tptp.mforall_di @t58))) % 0.48/0.68 (assume @p28 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t10 (_ (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ (_ tptp.mequiv (_ @t43 (_ @t31 @t17))) (_ (_ tptp.mor @t45) @t44)) @t7))) @t7))) @t7))))) % 0.48/0.68 (assume @p29 (_ tptp.mlocal (_ tptp.mforall_di @t60))) % 0.48/0.68 (assume @p30 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda (@list @t61 @t7) (_ (_ (_ tptp.mequiv (_ @t38 (_ (_ tptp.difference @t61) @t18))) (_ (_ tptp.mand (_ @t38 @t61)) (_ tptp.mnot (_ @t38 @t18)))) @t7))) @t7))) @t7))))) % 0.48/0.68 (assume @p31 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t10 (_ (_ tptp.mforall_di (lambda @t23 (_ (_ (_ tptp.mequiv (_ @t43 @t29)) @t62) @t7))) @t7))))) % 0.48/0.68 (assume @p32 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t10 (_ (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ (_ tptp.mequiv (_ @t43 (_ @t33 @t17))) (_ (_ tptp.mor @t62) (_ @t9 @t17))) @t7))) @t7))) @t7))))) % 0.48/0.68 (assume @p33 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t10 (_ (_ tptp.mforall_di (lambda @t23 (_ (_ (_ tptp.mequiv (_ @t43 @t30)) (_ tptp.mexists_di (lambda @t14 (_ (_ (_ tptp.mand @t64) @t63) @t7)))) @t7))) @t7))))) % 0.48/0.68 (assume @p34 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t10 (_ (_ tptp.mforall_di (lambda @t23 (_ (_ (_ tptp.mequiv (_ @t43 @t28)) (_ tptp.mforall_di (lambda @t14 (_ (_ (_ tptp.mimplies @t64) @t63) @t7)))) @t7))) @t7))))) % 0.48/0.68 (assume @p35 @t66) % 0.48/0.68 (assume @p36 true) % 0.48/0.68 (step @p37 (= tptp.mlocal @t68) :rule refl :args (@t68)) % 0.48/0.68 (step @p38 (= tptp.mnot @t71) :rule refl :args (@t71)) % 0.48/0.68 (step @p39 (= tptp.mand @t75) :rule refl :args (@t75)) % 0.48/0.68 (step @p40 (= tptp.mor @t76) :rule refl :args (@t76)) % 0.48/0.68 (step @p41 (= tptp.mimplies @t77) :rule refl :args (@t77)) % 0.48/0.68 (step @p42 (= tptp.mequiv @t78) :rule refl :args (@t78)) % 0.48/0.68 (step @p43 (= tptp.mbox @t82) :rule refl :args (@t82)) % 0.48/0.68 (step @p44 (= tptp.mdia @t83) :rule refl :args (@t83)) % 0.48/0.68 (step @p45 (= tptp.mforall_di @t89) :rule refl :args (@t89)) % 0.48/0.68 (step @p46 (= tptp.mexists_di @t90) :rule refl :args (@t90)) % 0.48/0.68 (step @p47 :rule beta-reduce :args ((= @t94 @t91))) % 0.48/0.68 (step @p48 :rule beta-reduce :args ((= (_ @t68 @t93) @t94))) % 0.48/0.68 (step @p49 :rule trans :premises (@p48 @p47)) % 0.48/0.68 (step @p50 :rule refl :args (@t92)) % 0.48/0.68 (step @p51 :rule refl :args (@t95)) % 0.48/0.68 (step @p52 :rule cong :premises (@p51 @p50) :args ((= @t95 @t92))) % 0.48/0.68 (step @p53 :rule symm :premises (@p52)) % 0.48/0.68 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 0.48/0.68 (step @p55 :rule cong :premises (@p54) :args (@t96)) % 0.48/0.68 (step @p56 :rule cong :premises (@p55) :args ((forall @t86 @t96))) % 0.48/0.68 (step @p57 :rule beta-reduce :args ((= @t99 @t96))) % 0.48/0.68 (step @p58 :rule cong :premises (@p57) :args (@t100)) % 0.48/0.68 (step @p59 :rule trans :premises (@p58 @p56)) % 0.48/0.68 (step @p60 :rule cong :premises (@p59) :args (@t101)) % 0.48/0.68 (step @p61 :rule beta-reduce :args ((= (_ @t104 @t98) @t101))) % 0.48/0.68 (step @p62 :rule trans :premises (@p61 @p60)) % 0.48/0.68 (step @p63 :rule beta-reduce :args ((= (_ @t105 @t7) @t97))) % 0.48/0.68 (step @p64 :rule refl :args (@t7)) % 0.48/0.68 (step @p65 :rule beta-reduce :args ((= @t106 @t105))) % 0.48/0.68 (step @p66 :rule ho_cong :premises (@p65 @p64)) % 0.48/0.68 (step @p67 :rule trans :premises (@p66 @p63)) % 0.48/0.68 (step @p68 :rule cong :premises (@p67) :args ((lambda @t10 (_ @t106 @t7)))) % 0.48/0.68 (step @p69 :rule refl :args (@t104)) % 0.48/0.68 (step @p70 :rule ho_cong :premises (@p69 @p68)) % 0.48/0.68 (step @p71 :rule trans :premises (@p70 @p62)) % 0.48/0.68 (step @p72 :rule refl :args (@t68)) % 0.48/0.68 (step @p73 :rule ho_cong :premises (@p72 @p71)) % 0.48/0.68 (step @p74 :rule trans :premises (@p73 @p49)) % 0.48/0.68 (step @p75 :rule refl :args (@t59)) % 0.48/0.68 (step @p76 :rule ho_cong :premises (@p38 @p75)) % 0.48/0.68 (step @p77 :rule ho_cong :premises (@p76 @p64)) % 0.48/0.68 (step @p78 :rule cong :premises (@p77) :args (@t60)) % 0.48/0.68 (step @p79 :rule refl :args (@t102)) % 0.48/0.68 (step @p80 :rule refl :args (@t85)) % 0.48/0.68 (step @p81 :rule cong :premises (@p80 @p79) :args ((= @t85 @t102))) % 0.48/0.68 (step @p82 :rule symm :premises (@p81)) % 0.48/0.68 (step @p83 :rule eq_resolve :premises (@p80 @p82)) % 0.48/0.68 (step @p84 :rule cong :premises (@p83) :args (@t87)) % 0.48/0.68 (step @p85 :rule cong :premises (@p84) :args (@t89)) % 0.48/0.68 (step @p86 :rule trans :premises (@p45 @p85)) % 0.48/0.68 (step @p87 :rule ho_cong :premises (@p86 @p78)) % 0.48/0.68 (step @p88 :rule ho_cong :premises (@p37 @p87)) % 0.48/0.68 (step @p89 :rule trans :premises (@p88 @p74)) % 0.48/0.68 (step @p90 :rule eq_resolve :premises (@p29 @p89)) % 0.48/0.68 (step @p91 :rule beta-reduce :args ((= @t115 (forall @t110 (= (tptp.subset @t8 @t107 tptp.mactual) (forall @t109 (or (not (tptp.member @t108 @t8 tptp.mactual)) (tptp.member @t108 @t107 tptp.mactual)))))))) % 0.48/0.68 (step @p92 :rule beta-reduce :args ((= (_ @t68 @t114) @t115))) % 0.48/0.68 (step @p93 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:args (@t264)) % 0.48/0.68 (step @p440 :rule trans :premises (@p439 @p436)) % 0.48/0.68 (step @p441 :rule refl :args (tptp.equal_set)) % 0.48/0.68 (step @p442 :rule ho_cong :premises (@p441 @p438)) % 0.48/0.68 (step @p443 :rule ho_cong :premises (@p442 @p437)) % 0.48/0.68 (step @p444 :rule ho_cong :premises (@p443 @p96)) % 0.48/0.68 (step @p445 :rule cong :premises (@p444 @p440) :args ((= (_ (_ (_ tptp.equal_set @t163) tptp.empty_set) @t1) @t264))) % 0.48/0.68 (step @p446 :rule symm :premises (@p445)) % 0.48/0.68 (step @p447 :rule refl :args (@t268)) % 0.48/0.68 (step @p448 :rule eq_resolve :premises (@p447 @p446)) % 0.48/0.68 (step @p449 :rule refl :args (@t267)) % 0.48/0.68 (step @p450 :rule cong :premises (@p449 @p438) :args ((= @t267 @t163))) % 0.48/0.68 (step @p451 :rule symm :premises (@p450)) % 0.48/0.68 (step @p452 :rule eq_resolve :premises (@p449 @p451)) % 0.48/0.68 (step @p453 :rule ho_cong :premises (@p441 @p452)) % 0.48/0.68 (step @p454 :rule ho_cong :premises (@p453 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(step @p470 :rule cong :premises (@p469) :args (@t66)) % 0.48/0.68 (step @p471 :rule trans :premises (@p470 @p466)) % 0.48/0.68 (step @p472 :rule eq_resolve :premises (@p35 @p471)) % 0.48/0.68 (step @p473 :rule skolemize :premises (@p472)) % 0.48/0.68 (step @p474 :rule cnf_equiv_pos2 :args (@t276)) % 0.48/0.68 (step @p475 :rule reordering :premises (@p474) :args ((or @t275 @t277 (not @t276)))) % 0.48/0.68 (step @p476 :rule chain_m_resolution :premises (@p475 @p473 @p432) :args (@t277 @t278 (@list @t275 @t276))) % 0.48/0.68 (step @p477 :rule cnf_and_neg :args (@t274)) % 0.48/0.68 (step @p478 :rule chain_m_resolution :premises (@p477 @p476 @p351) :args ((not @t273) @t278 (@list @t274 @t228))) % 0.48/0.68 (step @p479 :rule cnf_equiv_pos2 :args (@t280)) % 0.48/0.68 (step @p480 :rule reordering :premises (@p479) :args ((or @t273 @t281 (not @t280)))) % 0.48/0.68 (step @p481 :rule chain_m_resolution :premises (@p480 @p478 @p210) :args (@t281 @t278 (@list @t273 @t280))) % 0.48/0.68 (step @p482 :rule refl :args (@t286)) % 0.48/0.68 (step @p483 :rule bool-double-not-elim :args (@t279)) % 0.48/0.68 (step @p484 :rule nary_cong :premises (@p483 @p482) :args ((or (not @t281) @t286))) % 0.48/0.68 (assume-push @p507 @t281) % 0.48/0.68 (step @p486 :rule skolemize :premises (@p507)) % 0.48/0.68 (step-pop @p508 :rule scope :premises (@p486)) % 0.48/0.68 (step @p487 :rule process_scope :premises (@p508) :args (@t286)) % 0.48/0.68 (step @p489 :rule implies_elim :premises (@p487)) % 0.48/0.68 (step @p490 :rule eq_resolve :premises (@p489 @p484)) % 0.48/0.68 (step @p491 :rule chain_m_resolution :premises (@p490 @p481) :args (@t286 @t287 (@list @t279))) % 0.48/0.68 (step @p492 :rule bool-double-not-elim :args (@t283)) % 0.48/0.68 (step @p493 :rule refl :args (@t285)) % 0.48/0.68 (step @p494 :rule nary_cong :premises (@p493 @p492) :args ((or @t285 (not @t284)))) % 0.48/0.68 (step @p495 :rule cnf_or_neg :args (@t285 0)) % 0.48/0.68 (step @p496 :rule eq_resolve :premises (@p495 @p494)) % 0.48/0.68 (step @p497 :rule reordering :premises (@p496) :args ((or @t283 @t285))) % 0.48/0.68 (step @p498 :rule chain_m_resolution :premises (@p497 @p491) :args (@t283 @t287 (@list @t285))) % 0.48/0.68 (assume-push @p509 @t91) % 0.48/0.68 (step @p500 :rule instantiate :premises (@p90) :args ((@list @t282))) % 0.48/0.68 (step-pop @p510 :rule scope :premises (@p500)) % 0.48/0.68 (step @p501 :rule process_scope :premises (@p510) :args (@t284)) % 0.48/0.68 (step @p503 :rule implies_elim :premises (@p501)) % 0.48/0.68 (step @p504 false :rule chain_m_resolution :premises (@p503 @p498 @p90) :args (false @t230 (@list @t283 @t91))) % 0.48/0.68 ) % 0.48/0.68 % SZS output end Proof % 0.48/0.68 % cvc5 exiting %------------------------------------------------------------------------------