%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET019^4 : 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 : n005.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 08:46:59 AM UTC 2026 % Result : Theorem 0.44s 0.67s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET019^4 : 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 : n005.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 14:41:03 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TH0 % 0.44/0.67 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.44/0.67 % SZS status Theorem % 0.44/0.67 % SZS output start Proof % 0.44/0.67 ( % 0.44/0.67 (declare-sort $$unsorted 0) % 0.44/0.67 (declare-sort tptp.mworld 0) % 0.44/0.67 (declare-const tptp.mactual tptp.mworld) % 0.44/0.67 (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool)) % 0.44/0.67 (declare-const tptp.eiw_di (-> $$unsorted tptp.mworld Bool)) % 0.44/0.67 (declare-const tptp.empty_set $$unsorted) % 0.44/0.67 (declare-const tptp.subset (-> $$unsorted $$unsorted tptp.mworld Bool)) % 0.44/0.67 (declare-const tptp.member (-> $$unsorted $$unsorted tptp.mworld Bool)) % 0.44/0.67 (declare-const tptp.equal_set (-> $$unsorted $$unsorted tptp.mworld Bool)) % 0.44/0.67 (declare-const tptp.qmltpeq (-> $$unsorted $$unsorted tptp.mworld Bool)) % 0.44/0.67 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.67 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 0.44/0.67 (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)))))) % 0.44/0.67 (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))))))) % 0.44/0.67 (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))))))) % 0.44/0.67 (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))))))) % 0.44/0.67 (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))))))) % 0.44/0.67 (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)))))))) % 0.44/0.67 (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)))))))) % 0.44/0.67 (define tptp.mforall_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.eiw_di _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.44/0.67 (define tptp.mexists_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (and (_ (_ tptp.eiw_di _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.44/0.67 (define @t1 () (@var "W" tptp.mworld)) % 0.44/0.67 (define @t2 () (_ tptp.mrel @t1)) % 0.44/0.67 (define @t3 () (@list @t1)) % 0.44/0.67 (define @t4 () (@var "X" $$unsorted)) % 0.44/0.67 (define @t5 () (_ tptp.eiw_di @t4)) % 0.44/0.67 (define @t6 () (_ @t5 @t1)) % 0.44/0.67 (define @t7 () (@list @t4)) % 0.44/0.67 (define @t8 () (@var "V" tptp.mworld)) % 0.44/0.67 (define @t9 () (@var "__flatten_var_0" tptp.mworld)) % 0.44/0.67 (define @t10 () (_ tptp.qmltpeq @t4)) % 0.44/0.67 (define @t11 () (@list @t4 @t9)) % 0.44/0.67 (define @t12 () (@var "Y" $$unsorted)) % 0.44/0.67 (define @t13 () (_ tptp.qmltpeq @t12)) % 0.44/0.67 (define @t14 () (_ @t10 @t12)) % 0.44/0.67 (define @t15 () (@list @t12 @t9)) % 0.44/0.67 (define @t16 () (@var "Z" $$unsorted)) % 0.44/0.67 (define @t17 () (@var "C" $$unsorted)) % 0.44/0.67 (define @t18 () (@var "B" $$unsorted)) % 0.44/0.67 (define @t19 () (@var "A" $$unsorted)) % 0.44/0.67 (define @t20 () (_ (_ tptp.qmltpeq @t19) @t18)) % 0.44/0.67 (define @t21 () (_ tptp.mimplies @t20)) % 0.44/0.67 (define @t22 () (@list @t17 @t9)) % 0.44/0.67 (define @t23 () (@list @t18 @t9)) % 0.44/0.67 (define @t24 () (@list @t19 @t9)) % 0.44/0.67 (define @t25 () (_ tptp.difference @t17)) % 0.44/0.67 (define @t26 () (_ tptp.intersection @t19)) % 0.44/0.67 (define @t27 () (_ tptp.intersection @t17)) % 0.44/0.67 (define @t28 () (_ tptp.power_set @t19)) % 0.44/0.67 (define @t29 () (_ tptp.product @t19)) % 0.44/0.67 (define @t30 () (_ tptp.singleton @t19)) % 0.44/0.67 (define @t31 () (_ tptp.sum @t19)) % 0.44/0.67 (define @t32 () (_ tptp.union @t19)) % 0.44/0.67 (define @t33 () (_ tptp.union @t17)) % 0.44/0.67 (define @t34 () (_ tptp.unordered_pair @t19)) % 0.44/0.67 (define @t35 () (_ tptp.unordered_pair @t17)) % 0.44/0.67 (define @t36 () (_ tptp.equal_set @t19)) % 0.44/0.67 (define @t37 () (_ tptp.mand @t20)) % 0.44/0.67 (define @t38 () (_ tptp.equal_set @t17)) % 0.44/0.67 (define @t39 () (_ tptp.member @t18)) % 0.44/0.67 (define @t40 () (_ tptp.member @t17)) % 0.44/0.67 (define @t41 () (_ tptp.subset @t18)) % 0.44/0.67 (define @t42 () (_ tptp.subset @t19)) % 0.44/0.67 (define @t43 () (_ tptp.subset @t17)) % 0.44/0.67 (define @t44 () (_ tptp.member @t4)) % 0.44/0.67 (define @t45 () (_ @t44 @t18)) % 0.44/0.67 (define @t46 () (_ @t44 @t19)) % 0.44/0.67 (define @t47 () (_ @t42 @t18)) % 0.44/0.67 (define @t48 () (_ @t41 @t19)) % 0.44/0.67 (define @t49 () (_ (_ tptp.mand @t47) @t48)) % 0.44/0.67 (define @t50 () (_ @t36 @t18)) % 0.44/0.67 (define @t51 () (lambda @t23 (_ (_ (_ tptp.mequiv @t50) @t49) @t9))) % 0.44/0.67 (define @t52 () (lambda @t24 (_ (_ tptp.mforall_di @t51) @t9))) % 0.44/0.67 (define @t53 () (_ (_ tptp.subset @t4) @t19)) % 0.44/0.67 (define @t54 () (@var "E" $$unsorted)) % 0.44/0.67 (define @t55 () (_ @t10 @t19)) % 0.44/0.67 (define @t56 () (_ @t44 @t12)) % 0.44/0.67 (define @t57 () (_ (_ tptp.member @t12) @t19)) % 0.44/0.67 (define @t58 () (lambda @t23 (_ (_ (_ tptp.mimplies @t49) @t50) @t9))) % 0.44/0.67 (define @t59 () (lambda @t24 (_ (_ tptp.mforall_di @t58) @t9))) % 0.44/0.67 (define @t60 () (not (_ tptp.mlocal (_ tptp.mforall_di @t59)))) % 0.44/0.67 (define @t61 () (@var "Phi" (-> tptp.mworld Bool))) % 0.44/0.67 (define @t62 () (lambda (@list @t61) (_ @t61 tptp.mactual))) % 0.44/0.67 (define @t63 () (@var "A" (-> tptp.mworld Bool))) % 0.44/0.67 (define @t64 () (_ @t63 @t1)) % 0.44/0.67 (define @t65 () (lambda (@list @t63 @t1) (not @t64))) % 0.44/0.67 (define @t66 () (@var "B" (-> tptp.mworld Bool))) % 0.44/0.67 (define @t67 () (_ @t66 @t1)) % 0.44/0.67 (define @t68 () (@list @t63 @t66 @t1)) % 0.44/0.67 (define @t69 () (lambda @t68 (and @t64 @t67))) % 0.44/0.67 (define @t70 () (lambda @t68 (or @t64 @t67))) % 0.44/0.67 (define @t71 () (lambda @t68 (=> @t64 @t67))) % 0.44/0.67 (define @t72 () (lambda @t68 (= @t64 @t67))) % 0.44/0.67 (define @t73 () (_ @t61 @t8)) % 0.44/0.67 (define @t74 () (_ @t2 @t8)) % 0.44/0.67 (define @t75 () (@list @t8)) % 0.44/0.67 (define @t76 () (@list @t61 @t1)) % 0.44/0.67 (define @t77 () (lambda @t76 (forall @t75 (=> @t74 @t73)))) % 0.44/0.67 (define @t78 () (lambda @t76 (exists @t75 (and @t74 @t73)))) % 0.44/0.67 (define @t79 () (@var "A" (-> $$unsorted tptp.mworld Bool))) % 0.44/0.67 (define @t80 () (_ (_ @t79 @t4) @t1)) % 0.44/0.67 (define @t81 () (forall @t7 (=> @t6 @t80))) % 0.44/0.67 (define @t82 () (@list @t79 @t1)) % 0.44/0.67 (define @t83 () (lambda @t82 @t81)) % 0.44/0.67 (define @t84 () (lambda @t82 (exists @t7 (and @t6 @t80)))) % 0.44/0.67 (define @t85 () (@var "BOUND_VARIABLE_13030" $$unsorted)) % 0.44/0.67 (define @t86 () (not (tptp.eiw_di @t4 tptp.mactual))) % 0.44/0.67 (define @t87 () (@list @t4 @t85)) % 0.44/0.67 (define @t88 () (forall @t87 (or @t86 (not (tptp.eiw_di @t85 tptp.mactual)) (not (tptp.subset @t4 @t85 tptp.mactual)) (not (tptp.subset @t85 @t4 tptp.mactual)) (tptp.equal_set @t4 @t85 tptp.mactual)))) % 0.44/0.67 (define @t89 () (tptp.equal_set @t4 @t85 @t1)) % 0.44/0.67 (define @t90 () (not (tptp.subset @t85 @t4 @t1))) % 0.44/0.67 (define @t91 () (not (tptp.subset @t4 @t85 @t1))) % 0.44/0.67 (define @t92 () (not (tptp.eiw_di @t85 @t1))) % 0.44/0.67 (define @t93 () (tptp.eiw_di @t4 @t1)) % 0.44/0.67 (define @t94 () (not @t93)) % 0.44/0.67 (define @t95 () (or @t94 @t92 @t91 @t90 @t89)) % 0.44/0.67 (define @t96 () (lambda @t3 (forall @t87 @t95))) % 0.44/0.67 (define @t97 () (_ @t96 tptp.mactual)) % 0.44/0.67 (define @t98 () (or @t92 @t91 @t90 @t89)) % 0.44/0.67 (define @t99 () (or @t94 @t98)) % 0.44/0.67 (define @t100 () (forall @t87 @t99)) % 0.44/0.67 (define @t101 () (@list @t85)) % 0.44/0.67 (define @t102 () (forall @t101 @t99)) % 0.44/0.67 (define @t103 () (forall @t101 @t98)) % 0.44/0.67 (define @t104 () (@var "BOUND_VARIABLE_13005" $$unsorted)) % 0.44/0.67 (define @t105 () (@list @t104)) % 0.44/0.67 (define @t106 () (or @t94 @t103)) % 0.44/0.67 (define @t107 () (@list @t104)) % 0.44/0.67 (define @t108 () (forall @t107 (or (not (tptp.eiw_di @t104 @t1)) (not (tptp.subset @t4 @t104 @t1)) (not (tptp.subset @t104 @t4 @t1)) (tptp.equal_set @t4 @t104 @t1)))) % 0.44/0.67 (define @t109 () (tptp.equal_set @t19 @t4 @t9)) % 0.44/0.67 (define @t110 () (tptp.subset @t4 @t19 @t9)) % 0.44/0.67 (define @t111 () (tptp.subset @t19 @t4 @t9)) % 0.44/0.67 (define @t112 () (not (tptp.eiw_di @t4 @t9))) % 0.44/0.67 (define @t113 () (forall @t7 (or @t112 (not @t111) (not @t110) @t109))) % 0.44/0.67 (define @t114 () (@list @t4)) % 0.44/0.67 (define @t115 () (lambda @t24 @t113)) % 0.44/0.67 (define @t116 () (or @t94 (_ @t115 @t4 @t1))) % 0.44/0.67 (define @t117 () (forall @t7 @t116)) % 0.44/0.67 (define @t118 () (lambda @t3 @t117)) % 0.44/0.67 (define @t119 () (_ @t79 @t4 @t1)) % 0.44/0.67 (define @t120 () (lambda @t82 (forall @t7 (or @t94 @t119)))) % 0.44/0.67 (define @t121 () (tptp.equal_set @t19 @t4 @t1)) % 0.44/0.67 (define @t122 () (tptp.subset @t4 @t19 @t1)) % 0.44/0.67 (define @t123 () (tptp.subset @t19 @t4 @t1)) % 0.44/0.67 (define @t124 () (_ (_ @t36 @t4) @t1)) % 0.44/0.67 (define @t125 () (_ @t53 @t1)) % 0.44/0.67 (define @t126 () (not @t125)) % 0.44/0.67 (define @t127 () (_ (_ @t42 @t4) @t1)) % 0.44/0.67 (define @t128 () (not @t127)) % 0.44/0.67 (define @t129 () (or @t94 @t128 @t126 @t124)) % 0.44/0.67 (define @t130 () (or @t128 @t126 @t124)) % 0.44/0.67 (define @t131 () (and @t127 @t125)) % 0.44/0.67 (define @t132 () (=> @t131 @t124)) % 0.44/0.67 (define @t133 () (or @t94 @t132)) % 0.44/0.67 (define @t134 () (_ @t50 @t9)) % 0.44/0.67 (define @t135 () (and (_ @t47 @t9) (_ @t48 @t9))) % 0.44/0.67 (define @t136 () (=> @t135 @t134)) % 0.44/0.67 (define @t137 () (lambda @t23 @t136)) % 0.44/0.67 (define @t138 () (_ @t137 @t4 @t1)) % 0.44/0.67 (define @t139 () (or @t94 @t138)) % 0.44/0.67 (define @t140 () (forall @t7 @t139)) % 0.44/0.67 (define @t141 () (lambda @t3 @t140)) % 0.44/0.67 (define @t142 () (_ @t50 @t1)) % 0.44/0.67 (define @t143 () (_ @t47 @t1)) % 0.44/0.67 (define @t144 () (and @t143 (_ @t48 @t1))) % 0.44/0.67 (define @t145 () (lambda @t3 (=> @t144 @t142))) % 0.44/0.67 (define @t146 () (@list @t66 @t1)) % 0.44/0.67 (define @t147 () (lambda @t3 @t144)) % 0.44/0.67 (define @t148 () (_ @t147 @t1)) % 0.44/0.67 (define @t149 () (=> @t148 @t67)) % 0.44/0.67 (define @t150 () (lambda @t146 @t149)) % 0.44/0.67 (define @t151 () (lambda @t146 (and @t143 @t67))) % 0.44/0.67 (define @t152 () (_ @t69 @t47)) % 0.44/0.67 (define @t153 () (_ @t152 @t48)) % 0.44/0.67 (define @t154 () (lambda @t23 (_ (_ (_ @t71 @t153) @t50) @t9))) % 0.44/0.67 (define @t155 () (lambda @t24 (_ (_ @t120 @t154) @t9))) % 0.44/0.67 (define @t156 () (not @t6)) % 0.44/0.67 (define @t157 () (or @t156 @t80)) % 0.44/0.67 (define @t158 () (@quantifiers_skolemize @t88 0)) % 0.44/0.67 (define @t159 () (tptp.eiw_di @t158 tptp.mactual)) % 0.44/0.67 (define @t160 () (@quantifiers_skolemize @t88 1)) % 0.44/0.67 (define @t161 () (tptp.equal_set @t158 @t160 tptp.mactual)) % 0.44/0.67 (define @t162 () (tptp.subset @t160 @t158 tptp.mactual)) % 0.44/0.67 (define @t163 () (not @t162)) % 0.44/0.67 (define @t164 () (tptp.subset @t158 @t160 tptp.mactual)) % 0.44/0.67 (define @t165 () (not @t164)) % 0.44/0.67 (define @t166 () (tptp.eiw_di @t160 tptp.mactual)) % 0.44/0.67 (define @t167 () (not @t166)) % 0.44/0.67 (define @t168 () (not @t159)) % 0.44/0.67 (define @t169 () (or @t168 @t167 @t165 @t163 @t161)) % 0.44/0.67 (define @t170 () (@list true)) % 0.44/0.67 (define @t171 () (@list @t169)) % 0.44/0.67 (define @t172 () (@var "BOUND_VARIABLE_11568" $$unsorted)) % 0.44/0.67 (define @t173 () (@list @t4 @t172)) % 0.44/0.67 (define @t174 () (= (tptp.equal_set @t4 @t172 @t1) (and (tptp.subset @t4 @t172 @t1) (tptp.subset @t172 @t4 @t1)))) % 0.44/0.67 (define @t175 () (not (tptp.eiw_di @t172 @t1))) % 0.44/0.67 (define @t176 () (or @t94 @t175 @t174)) % 0.44/0.67 (define @t177 () (lambda @t3 (forall @t173 @t176))) % 0.44/0.67 (define @t178 () (_ @t177 tptp.mactual)) % 0.44/0.67 (define @t179 () (or @t175 @t174)) % 0.44/0.67 (define @t180 () (or @t94 @t179)) % 0.44/0.67 (define @t181 () (forall @t173 @t180)) % 0.44/0.67 (define @t182 () (@list @t172)) % 0.44/0.67 (define @t183 () (forall @t182 @t180)) % 0.44/0.67 (define @t184 () (forall @t182 @t179)) % 0.44/0.67 (define @t185 () (@var "BOUND_VARIABLE_11543" $$unsorted)) % 0.44/0.67 (define @t186 () (@list @t185)) % 0.44/0.67 (define @t187 () (or @t94 @t184)) % 0.44/0.67 (define @t188 () (@list @t185)) % 0.44/0.67 (define @t189 () (forall @t188 (or (not (tptp.eiw_di @t185 @t1)) (= (tptp.equal_set @t4 @t185 @t1) (and (tptp.subset @t4 @t185 @t1) (tptp.subset @t185 @t4 @t1)))))) % 0.44/0.67 (define @t190 () (forall @t7 (or @t112 (= @t109 (and @t111 @t110))))) % 0.44/0.67 (define @t191 () (lambda @t24 @t190)) % 0.44/0.67 (define @t192 () (or @t94 (_ @t191 @t4 @t1))) % 0.44/0.67 (define @t193 () (forall @t7 @t192)) % 0.44/0.67 (define @t194 () (lambda @t3 @t193)) % 0.44/0.67 (define @t195 () (= @t124 @t131)) % 0.44/0.67 (define @t196 () (or @t94 @t195)) % 0.44/0.67 (define @t197 () (= @t134 @t135)) % 0.44/0.67 (define @t198 () (lambda @t23 @t197)) % 0.44/0.67 (define @t199 () (_ @t198 @t4 @t1)) % 0.44/0.67 (define @t200 () (or @t94 @t199)) % 0.44/0.67 (define @t201 () (forall @t7 @t200)) % 0.44/0.67 (define @t202 () (lambda @t3 @t201)) % 0.44/0.67 (define @t203 () (lambda @t3 (= @t148 @t142))) % 0.44/0.67 (define @t204 () (lambda @t146 (= @t142 @t67))) % 0.44/0.67 (define @t205 () (_ @t72 @t50)) % 0.44/0.67 (define @t206 () (lambda @t23 (_ (_ @t205 @t153) @t9))) % 0.44/0.67 (define @t207 () (and @t164 @t162)) % 0.44/0.67 (define @t208 () (= @t161 @t207)) % 0.44/0.67 (define @t209 () (not @t208)) % 0.44/0.67 (define @t210 () (or @t168 @t167 @t208)) % 0.44/0.67 (assume @p1 (forall @t3 (_ @t2 @t1))) % 0.44/0.67 (assume @p2 (forall @t3 (exists @t7 @t6))) % 0.44/0.67 (assume @p3 (forall (@list @t1 @t8 @t4) (=> (and @t6 (_ (_ tptp.mrel @t8) @t1)) (_ @t5 @t8)))) % 0.44/0.67 (assume @p4 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t11 (_ (_ @t10 @t4) @t9))))) % 0.44/0.67 (assume @p5 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t11 (_ (_ tptp.mforall_di (lambda @t15 (_ (_ (_ tptp.mimplies @t14) (_ @t13 @t4)) @t9))) @t9))))) % 0.44/0.67 (assume @p6 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t11 (_ (_ tptp.mforall_di (lambda @t15 (_ (_ tptp.mforall_di (lambda (@list @t16 @t9) (_ (_ (_ tptp.mimplies (_ (_ tptp.mand @t14) (_ @t13 @t16))) (_ @t10 @t16)) @t9))) @t9))) @t9))))) % 0.44/0.67 (assume @p7 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t24 (_ (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ @t21 (_ (_ tptp.qmltpeq (_ (_ tptp.difference @t19) @t17)) (_ (_ tptp.difference @t18) @t17))) @t9))) @t9))) @t9))))) % 0.44/0.67 (assume @p8 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t24 (_ (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ @t21 (_ (_ tptp.qmltpeq (_ @t25 @t19)) (_ @t25 @t18))) @t9))) @t9))) @t9))))) % 0.44/0.67 (assume @p9 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t24 (_ (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ @t21 (_ (_ tptp.qmltpeq (_ @t26 @t17)) (_ (_ tptp.intersection @t18) @t17))) @t9))) @t9))) @t9))))) % 0.44/0.67 (assume @p10 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t24 (_ (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ @t21 (_ (_ tptp.qmltpeq (_ @t27 @t19)) (_ @t27 @t18))) @t9))) @t9))) @t9))))) % 0.44/0.67 (assume @p11 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t24 (_ (_ tptp.mforall_di (lambda @t23 (_ (_ @t21 (_ (_ tptp.qmltpeq @t28) (_ tptp.power_set @t18))) @t9))) @t9))))) % 0.44/0.67 (assume @p12 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t24 (_ (_ tptp.mforall_di (lambda @t23 (_ (_ @t21 (_ (_ tptp.qmltpeq @t29) (_ tptp.product @t18))) @t9))) @t9))))) % 0.44/0.67 (assume @p13 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t24 (_ (_ tptp.mforall_di (lambda @t23 (_ (_ @t21 (_ (_ tptp.qmltpeq @t30) (_ tptp.singleton @t18))) @t9))) @t9))))) % 0.44/0.67 (assume @p14 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t24 (_ (_ tptp.mforall_di (lambda @t23 (_ (_ @t21 (_ (_ tptp.qmltpeq @t31) (_ tptp.sum @t18))) @t9))) @t9))))) % 0.44/0.67 (assume @p15 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t24 (_ (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ @t21 (_ (_ tptp.qmltpeq (_ @t32 @t17)) (_ (_ tptp.union @t18) @t17))) @t9))) @t9))) @t9))))) % 0.44/0.67 (assume @p16 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t24 (_ (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ @t21 (_ (_ tptp.qmltpeq (_ @t33 @t19)) (_ @t33 @t18))) @t9))) @t9))) @t9))))) % 0.44/0.67 (assume @p17 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t24 (_ (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ @t21 (_ (_ tptp.qmltpeq (_ @t34 @t17)) (_ (_ tptp.unordered_pair @t18) @t17))) @t9))) @t9))) @t9))))) % 0.44/0.67 (assume @p18 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t24 (_ (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ @t21 (_ (_ tptp.qmltpeq (_ @t35 @t19)) (_ @t35 @t18))) @t9))) @t9))) @t9))))) % 0.44/0.67 (assume @p19 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t24 (_ (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ (_ tptp.mimplies (_ @t37 (_ @t36 @t17))) (_ (_ tptp.equal_set @t18) @t17)) @t9))) @t9))) @t9))))) % 0.44/0.67 (assume @p20 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t24 (_ (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ (_ tptp.mimplies (_ @t37 (_ @t38 @t19))) (_ @t38 @t18)) @t9))) @t9))) @t9))))) % 0.44/0.67 (assume @p21 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t24 (_ (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ (_ tptp.mimplies (_ @t37 (_ (_ tptp.member @t19) @t17))) (_ @t39 @t17)) @t9))) @t9))) @t9))))) % 0.44/0.67 (assume @p22 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t24 (_ (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ (_ tptp.mimplies (_ @t37 (_ @t40 @t19))) (_ @t40 @t18)) @t9))) @t9))) @t9))))) % 0.44/0.67 (assume @p23 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t24 (_ (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ (_ tptp.mimplies (_ @t37 (_ @t42 @t17))) (_ @t41 @t17)) @t9))) @t9))) @t9))))) % 0.44/0.67 (assume @p24 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t24 (_ (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ (_ tptp.mimplies (_ @t37 (_ @t43 @t19))) (_ @t43 @t18)) @t9))) @t9))) @t9))))) % 0.44/0.67 (assume @p25 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t24 (_ (_ tptp.mforall_di (lambda @t23 (_ (_ (_ tptp.mequiv @t47) (_ tptp.mforall_di (lambda @t11 (_ (_ (_ tptp.mimplies @t46) @t45) @t9)))) @t9))) @t9))))) % 0.44/0.67 (assume @p26 (_ tptp.mlocal (_ tptp.mforall_di @t52))) % 0.44/0.67 (assume @p27 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t11 (_ (_ tptp.mforall_di (lambda @t24 (_ (_ (_ tptp.mequiv (_ @t44 @t28)) @t53) @t9))) @t9))))) % 0.44/0.67 (assume @p28 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t11 (_ (_ tptp.mforall_di (lambda @t24 (_ (_ tptp.mforall_di (lambda @t23 (_ (_ (_ tptp.mequiv (_ @t44 (_ @t26 @t18))) (_ (_ tptp.mand @t46) @t45)) @t9))) @t9))) @t9))))) % 0.44/0.67 (assume @p29 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t11 (_ (_ tptp.mforall_di (lambda @t24 (_ (_ tptp.mforall_di (lambda @t23 (_ (_ (_ tptp.mequiv (_ @t44 (_ @t32 @t18))) (_ (_ tptp.mor @t46) @t45)) @t9))) @t9))) @t9))))) % 0.44/0.67 (assume @p30 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t11 (_ (_ tptp.mnot (_ @t44 tptp.empty_set)) @t9))))) % 0.44/0.67 (assume @p31 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t24 (_ (_ tptp.mforall_di (lambda (@list @t54 @t9) (_ (_ (_ tptp.mequiv (_ @t39 (_ (_ tptp.difference @t54) @t19))) (_ (_ tptp.mand (_ @t39 @t54)) (_ tptp.mnot (_ @t39 @t19)))) @t9))) @t9))) @t9))))) % 0.44/0.67 (assume @p32 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t11 (_ (_ tptp.mforall_di (lambda @t24 (_ (_ (_ tptp.mequiv (_ @t44 @t30)) @t55) @t9))) @t9))))) % 0.44/0.67 (assume @p33 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t11 (_ (_ tptp.mforall_di (lambda @t24 (_ (_ tptp.mforall_di (lambda @t23 (_ (_ (_ tptp.mequiv (_ @t44 (_ @t34 @t18))) (_ (_ tptp.mor @t55) (_ @t10 @t18))) @t9))) @t9))) @t9))))) % 0.44/0.67 (assume @p34 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t11 (_ (_ tptp.mforall_di (lambda @t24 (_ (_ (_ tptp.mequiv (_ @t44 @t31)) (_ tptp.mexists_di (lambda @t15 (_ (_ (_ tptp.mand @t57) @t56) @t9)))) @t9))) @t9))))) % 0.44/0.67 (assume @p35 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t11 (_ (_ tptp.mforall_di (lambda @t24 (_ (_ (_ tptp.mequiv (_ @t44 @t29)) (_ tptp.mforall_di (lambda @t15 (_ (_ (_ tptp.mimplies @t57) @t56) @t9)))) @t9))) @t9))))) % 0.44/0.67 (assume @p36 @t60) % 0.44/0.67 (assume @p37 true) % 0.44/0.67 (step @p38 (= tptp.mlocal @t62) :rule refl :args (@t62)) % 0.44/0.67 (step @p39 (= tptp.mnot @t65) :rule refl :args (@t65)) % 0.44/0.67 (step @p40 (= tptp.mand @t69) :rule refl :args (@t69)) % 0.44/0.67 (step @p41 (= tptp.mor @t70) :rule refl :args (@t70)) % 0.44/0.67 (step @p42 (= tptp.mimplies @t71) :rule refl :args (@t71)) % 0.44/0.67 (step @p43 (= tptp.mequiv @t72) :rule refl :args (@t72)) % 0.44/0.67 (step @p44 (= tptp.mbox @t77) :rule refl :args (@t77)) % 0.44/0.67 (step @p45 (= tptp.mdia @t78) :rule refl :args (@t78)) % 0.44/0.67 (step @p46 (= tptp.mforall_di @t83) :rule refl :args (@t83)) % 0.44/0.67 (step @p47 (= tptp.mexists_di @t84) :rule refl :args (@t84)) % 0.44/0.67 (step @p48 :rule beta-reduce :args ((= @t97 @t88))) % 0.44/0.67 (step @p49 :rule beta-reduce :args ((= (_ @t62 @t96) @t97))) % 0.44/0.67 (step @p50 :rule trans :premises (@p49 @p48)) % 0.44/0.67 (step @p51 :rule aci_norm :args ((= @t99 @t95))) % 0.44/0.67 (step @p52 :rule cong :premises (@p51) :args (@t100)) % 0.44/0.67 (step @p53 :rule quant-merge-prenex :args ((= (forall @t7 @t102) @t100))) % 0.44/0.67 (step @p54 :rule alpha_equiv :args (@t103 (@list @t85) @t105)) % 0.44/0.67 (step @p55 :rule refl :args (@t94)) % 0.44/0.67 (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t106)) % 0.44/0.67 (step @p57 :rule quant-miniscope-or :args ((= @t102 @t106))) % 0.44/0.67 (step @p58 :rule trans :premises (@p57 @p56)) % 0.44/0.67 (step @p59 :rule symm :premises (@p58)) % 0.44/0.67 (step @p60 :rule cong :premises (@p59) :args ((forall @t7 (or @t94 @t108)))) % 0.44/0.67 (step @p61 :rule trans :premises (@p60 @p53)) % 0.44/0.67 (step @p62 :rule trans :premises (@p61 @p52)) % 0.44/0.67 (step @p63 :rule beta-reduce :args ((= (_ (lambda @t24 (forall @t107 (or (not (tptp.eiw_di @t104 @t9)) (not (tptp.subset @t19 @t104 @t9)) (not (tptp.subset @t104 @t19 @t9)) (tptp.equal_set @t19 @t104 @t9)))) @t4 @t1) @t108))) % 0.44/0.67 (step @p64 :rule refl :args (@t1)) % 0.44/0.67 (step @p65 :rule refl :args (@t4)) % 0.44/0.67 (step @p66 :rule alpha_equiv :args (@t113 @t114 @t105)) % 0.44/0.67 (step @p67 :rule cong :premises (@p66) :args (@t115)) % 0.44/0.67 (step @p68 :rule ho_cong :premises (@p67 @p65 @p64)) % 0.44/0.67 (step @p69 :rule trans :premises (@p68 @p63)) % 0.44/0.67 (step @p70 :rule refl :args (@t94)) % 0.44/0.67 (step @p71 :rule nary_cong :premises (@p70 @p69) :args (@t116)) % 0.44/0.67 (step @p72 :rule cong :premises (@p71) :args (@t117)) % 0.44/0.67 (step @p73 :rule trans :premises (@p72 @p62)) % 0.44/0.67 (step @p74 :rule cong :premises (@p73) :args (@t118)) % 0.44/0.67 (step @p75 :rule beta-reduce :args ((= (_ @t120 @t115) @t118))) % 0.44/0.67 (step @p76 :rule trans :premises (@p75 @p74)) % 0.44/0.67 (step @p77 :rule beta-reduce :args ((= (_ (lambda @t3 (forall @t7 (or @t94 (not @t123) (not @t122) @t121))) @t9) @t113))) % 0.44/0.67 (step @p78 :rule refl :args (@t9)) % 0.44/0.67 (step @p79 :rule refl :args (@t121)) % 0.44/0.67 (step @p80 :rule refl :args (@t124)) % 0.44/0.67 (step @p81 :rule cong :premises (@p80 @p79) :args ((= @t124 @t121))) % 0.44/0.67 (step @p82 :rule symm :premises (@p81)) % 0.44/0.67 (step @p83 :rule eq_resolve :premises (@p80 @p82)) % 0.44/0.67 (step @p84 :rule refl :args (@t122)) % 0.44/0.67 (step @p85 :rule refl :args (@t125)) % 0.44/0.67 (step @p86 :rule cong :premises (@p85 @p84) :args ((= @t125 @t122))) % 0.44/0.67 (step @p87 :rule symm :premises (@p86)) % 0.44/0.67 (step @p88 :rule eq_resolve :premises (@p85 @p87)) % 0.44/0.67 (step @p89 :rule cong :premises (@p88) :args (@t126)) % 0.44/0.67 (step @p90 :rule refl :args (@t123)) % 0.44/0.67 (step @p91 :rule refl :args (@t127)) % 0.44/0.67 (step @p92 :rule cong :premises (@p91 @p90) :args ((= @t127 @t123))) % 0.44/0.67 (step @p93 :rule symm :premises (@p92)) % 0.44/0.67 (step @p94 :rule eq_resolve :premises (@p91 @p93)) % 0.44/0.67 (step @p95 :rule cong :premises (@p94) :args (@t128)) % 0.44/0.67 (step @p96 :rule nary_cong :premises (@p55 @p95 @p89 @p83) :args (@t129)) % 0.44/0.67 (step @p97 :rule cong :premises (@p96) :args ((forall @t7 @t129))) % 0.44/0.67 (step @p98 :rule aci_norm :args ((= (or @t94 @t130) @t129))) % 0.44/0.67 (step @p99 :rule aci_norm :args ((= (or (or @t128 @t126) @t124) @t130))) % 0.44/0.67 (step @p100 :rule bool-and-de-morgan :args (@t127 @t125 true)) % 0.44/0.67 (step @p101 :rule nary_cong :premises (@p100 @p80) :args ((or (not @t131) @t124))) % 0.44/0.67 (step @p102 :rule trans :premises (@p101 @p99)) % 0.44/0.67 (step @p103 :rule bool-impl-elim :args (@t131 @t124)) % 0.44/0.67 (step @p104 :rule trans :premises (@p103 @p102)) % 0.44/0.67 (step @p105 :rule nary_cong :premises (@p55 @p104) :args (@t133)) % 0.44/0.67 (step @p106 :rule trans :premises (@p105 @p98)) % 0.44/0.67 (step @p107 :rule cong :premises (@p106) :args ((forall @t7 @t133))) % 0.44/0.67 (step @p108 :rule trans :premises (@p107 @p97)) % 0.44/0.67 (step @p109 :rule beta-reduce :args ((= @t138 @t132))) % 0.44/0.67 (step @p110 :rule nary_cong :premises (@p70 @p109) :args (@t139)) % 0.44/0.67 (step @p111 :rule cong :premises (@p110) :args (@t140)) % 0.44/0.67 (step @p112 :rule trans :premises (@p111 @p108)) % 0.44/0.67 (step @p113 :rule cong :premises (@p112) :args (@t141)) % 0.44/0.67 (step @p114 :rule beta-reduce :args ((= (_ @t120 @t137) @t141))) % 0.44/0.67 (step @p115 :rule trans :premises (@p114 @p113)) % 0.44/0.67 (step @p116 :rule beta-reduce :args ((= (_ @t145 @t9) @t136))) % 0.44/0.67 (step @p117 :rule beta-reduce :args ((= (_ (lambda @t146 (=> @t144 @t67)) @t50) @t145))) % 0.44/0.67 (step @p118 :rule refl :args (@t50)) % 0.44/0.67 (step @p119 :rule refl :args (@t67)) % 0.44/0.67 (step @p120 :rule beta-reduce :args ((= @t148 @t144))) % 0.44/0.67 (step @p121 :rule cong :premises (@p120 @p119) :args (@t149)) % 0.44/0.67 (step @p122 :rule cong :premises (@p121) :args (@t150)) % 0.44/0.67 (step @p123 :rule beta-reduce :args ((= (_ @t71 @t147) @t150))) % 0.44/0.67 (step @p124 :rule trans :premises (@p123 @p122)) % 0.44/0.67 (step @p125 :rule beta-reduce :args ((= (_ @t151 @t48) @t147))) % 0.44/0.67 (step @p126 :rule refl :args (@t48)) % 0.44/0.67 (step @p127 :rule beta-reduce :args ((= @t152 @t151))) % 0.44/0.67 (step @p128 :rule ho_cong :premises (@p127 @p126)) % 0.44/0.67 (step @p129 :rule trans :premises (@p128 @p125)) % 0.44/0.67 (step @p130 :rule refl :args (@t71)) % 0.44/0.67 (step @p131 :rule ho_cong :premises (@p130 @p129)) % 0.44/0.67 (step @p132 :rule trans :premises (@p131 @p124)) % 0.44/0.67 (step @p133 :rule ho_cong :premises (@p132 @p118)) % 0.44/0.67 (step @p134 :rule trans :premises (@p133 @p117)) % 0.44/0.67 (step @p135 :rule ho_cong :premises (@p134 @p78)) % 0.44/0.67 (step @p136 :rule trans :premises (@p135 @p116)) % 0.44/0.67 (step @p137 :rule cong :premises (@p136) :args (@t154)) % 0.44/0.67 (step @p138 :rule refl :args (@t120)) % 0.44/0.67 (step @p139 :rule ho_cong :premises (@p138 @p137)) % 0.44/0.67 (step @p140 :rule trans :premises (@p139 @p115)) % 0.44/0.67 (step @p141 :rule ho_cong :premises (@p140 @p78)) % 0.44/0.67 (step @p142 :rule trans :premises (@p141 @p77)) % 0.44/0.67 (step @p143 :rule cong :premises (@p142) :args (@t155)) % 0.44/0.67 (step @p144 :rule ho_cong :premises (@p138 @p143)) % 0.44/0.67 (step @p145 :rule trans :premises (@p144 @p76)) % 0.44/0.67 (step @p146 :rule refl :args (@t62)) % 0.44/0.67 (step @p147 :rule ho_cong :premises (@p146 @p145)) % 0.44/0.67 (step @p148 :rule trans :premises (@p147 @p50)) % 0.44/0.67 (step @p149 :rule cong :premises (@p148) :args ((not (_ @t62 (_ @t120 @t155))))) % 0.44/0.67 (step @p150 :rule refl :args (@t47)) % 0.44/0.67 (step @p151 :rule ho_cong :premises (@p40 @p150)) % 0.44/0.67 (step @p152 :rule ho_cong :premises (@p151 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(step @p221 :rule trans :premises (@p220 @p219)) % 0.44/0.67 (step @p222 :rule beta-reduce :args ((= (_ (lambda @t3 (forall @t7 (or @t94 (= @t121 (and @t123 @t122))))) @t9) @t190))) % 0.44/0.67 (step @p223 :rule nary_cong :premises (@p94 @p88) :args (@t131)) % 0.44/0.67 (step @p224 :rule cong :premises (@p83 @p223) :args (@t195)) % 0.44/0.67 (step @p225 :rule nary_cong :premises (@p55 @p224) :args (@t196)) % 0.44/0.67 (step @p226 :rule cong :premises (@p225) :args ((forall @t7 @t196))) % 0.44/0.67 (step @p227 :rule beta-reduce :args ((= @t199 @t195))) % 0.44/0.67 (step @p228 :rule nary_cong :premises (@p70 @p227) :args (@t200)) % 0.44/0.67 (step @p229 :rule cong :premises (@p228) :args (@t201)) % 0.44/0.67 (step @p230 :rule trans :premises (@p229 @p226)) % 0.44/0.67 (step @p231 :rule cong :premises (@p230) :args (@t202)) % 0.44/0.67 (step @p232 :rule beta-reduce :args ((= (_ @t120 @t198) @t202))) % 0.44/0.67 (step @p233 :rule trans :premises (@p232 @p231)) % 0.44/0.67 (step @p234 :rule 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:rule ho_cong :premises (@p174 @p263)) % 0.44/0.67 (step @p265 :rule ho_cong :premises (@p264 @p78)) % 0.44/0.67 (step @p266 :rule cong :premises (@p265) :args (@t52)) % 0.44/0.67 (step @p267 :rule ho_cong :premises (@p174 @p266)) % 0.44/0.67 (step @p268 :rule ho_cong :premises (@p38 @p267)) % 0.44/0.67 (step @p269 :rule trans :premises (@p268 @p259)) % 0.44/0.67 (step @p270 :rule eq_resolve :premises (@p26 @p269)) % 0.44/0.67 (step @p271 :rule instantiate :premises (@p270) :args ((@list @t158 @t160))) % 0.44/0.67 (step @p272 :rule bool-double-not-elim :args (@t162)) % 0.44/0.67 (step @p273 :rule nary_cong :premises (@p185 @p272) :args ((or @t169 (not @t163)))) % 0.44/0.67 (step @p274 :rule cnf_or_neg :args (@t169 3)) % 0.44/0.67 (step @p275 :rule eq_resolve :premises (@p274 @p273)) % 0.44/0.67 (step @p276 :rule reordering :premises (@p275) :args ((or @t162 @t169))) % 0.44/0.67 (step @p277 :rule chain_m_resolution :premises (@p276 @p183) :args (@t162 @t170 @t171)) % 0.44/0.67 (step @p278 :rule bool-double-not-elim :args (@t164)) % 0.44/0.67 (step @p279 :rule nary_cong :premises (@p185 @p278) :args ((or @t169 (not @t165)))) % 0.44/0.67 (step @p280 :rule cnf_or_neg :args (@t169 2)) % 0.44/0.67 (step @p281 :rule eq_resolve :premises (@p280 @p279)) % 0.44/0.67 (step @p282 :rule reordering :premises (@p281) :args ((or @t164 @t169))) % 0.44/0.67 (step @p283 :rule chain_m_resolution :premises (@p282 @p183) :args (@t164 @t170 @t171)) % 0.44/0.67 (step @p284 :rule cnf_and_neg :args (@t207)) % 0.44/0.67 (step @p285 :rule reordering :premises (@p284) :args ((or @t165 @t163 @t207))) % 0.44/0.67 (step @p286 :rule chain_m_resolution :premises (@p285 @p283 @p277) :args (@t207 (@list false false) (@list @t164 @t162))) % 0.44/0.67 (step @p287 :rule cnf_or_neg :args (@t169 4)) % 0.44/0.67 (step @p288 :rule chain_m_resolution :premises (@p287 @p183) :args ((not @t161) @t170 @t171)) % 0.44/0.67 (step @p289 :rule cnf_equiv_pos2 :args (@t208)) % 0.44/0.67 (step @p290 :rule reordering :premises (@p289) :args ((or @t161 (not @t207) @t209))) % 0.44/0.67 (step @p291 :rule chain_m_resolution :premises (@p290 @p288 @p286) :args (@t209 (@list true false) (@list @t161 @t207))) % 0.44/0.67 (step @p292 :rule cnf_or_pos :args (@t210)) % 0.44/0.67 (step @p293 :rule reordering :premises (@p292) :args ((or @t168 @t167 @t208 (not @t210)))) % 0.44/0.67 (step @p294 false :rule chain_m_resolution :premises (@p293 @p291 @p271 @p196 @p190) :args (false (@list true false false false) (@list @t208 @t210 @t166 @t159))) % 0.44/0.67 ) % 0.44/0.67 % SZS output end Proof % 0.44/0.67 % cvc5 exiting %------------------------------------------------------------------------------