%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET798+4 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:48:40 AM UTC 2026 % Result : Theorem 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET798+4 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n003.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 16:12:14 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.59 % SZS status Theorem % 0.37/0.59 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-sort $$unsorted 0) % 0.37/0.59 (declare-const tptp.min (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.max (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.lower_bound (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.order (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.least (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.greatest (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.upper_bound (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.empty_set $$unsorted) % 0.37/0.59 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.total_order (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.59 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.59 (define @t2 () (@var "X" $$unsorted)) % 0.37/0.59 (define @t3 () (tptp.member @t2 @t1)) % 0.37/0.59 (define @t4 () (@var "A" $$unsorted)) % 0.37/0.59 (define @t5 () (tptp.member @t2 @t4)) % 0.37/0.59 (define @t6 () (@list @t2)) % 0.37/0.59 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.37/0.59 (define @t8 () (tptp.subset @t4 @t1)) % 0.37/0.59 (define @t9 () (= @t8 @t7)) % 0.37/0.59 (define @t10 () (@list @t4 @t1)) % 0.37/0.59 (define @t11 () (forall @t10 @t9)) % 0.37/0.59 (define @t12 () (@list @t2 @t4)) % 0.37/0.59 (define @t13 () (@list @t2 @t4 @t1)) % 0.37/0.59 (define @t14 () (@var "E" $$unsorted)) % 0.37/0.59 (define @t15 () (= @t2 @t4)) % 0.37/0.59 (define @t16 () (@var "Y" $$unsorted)) % 0.37/0.59 (define @t17 () (tptp.member @t2 @t16)) % 0.37/0.59 (define @t18 () (tptp.member @t16 @t4)) % 0.37/0.59 (define @t19 () (@list @t16)) % 0.37/0.59 (define @t20 () (@var "Z" $$unsorted)) % 0.37/0.59 (define @t21 () (@var "R" $$unsorted)) % 0.37/0.59 (define @t22 () (tptp.apply @t21 @t2 @t16)) % 0.37/0.59 (define @t23 () (tptp.member @t16 @t14)) % 0.37/0.59 (define @t24 () (tptp.member @t2 @t14)) % 0.37/0.59 (define @t25 () (tptp.apply @t21 @t16 @t2)) % 0.37/0.59 (define @t26 () (and @t24 @t23)) % 0.37/0.59 (define @t27 () (@list @t2 @t16)) % 0.37/0.59 (define @t28 () (tptp.order @t21 @t14)) % 0.37/0.59 (define @t29 () (@list @t21 @t14)) % 0.37/0.59 (define @t30 () (@var "M" $$unsorted)) % 0.37/0.59 (define @t31 () (tptp.apply @t21 @t2 @t30)) % 0.37/0.59 (define @t32 () (forall @t6 (=> @t24 @t31))) % 0.37/0.59 (define @t33 () (@list @t21 @t14 @t30)) % 0.37/0.59 (define @t34 () (tptp.apply @t21 @t30 @t2)) % 0.37/0.59 (define @t35 () (forall @t6 (=> @t24 @t34))) % 0.37/0.59 (define @t36 () (tptp.lower_bound @t30 @t21 @t14)) % 0.37/0.59 (define @t37 () (= @t36 @t35)) % 0.37/0.59 (define @t38 () (forall @t33 @t37)) % 0.37/0.59 (define @t39 () (tptp.member @t30 @t14)) % 0.37/0.59 (define @t40 () (= @t30 @t2)) % 0.37/0.59 (define @t41 () (@list @t30)) % 0.37/0.59 (define @t42 () (tptp.member @t4 @t2)) % 0.37/0.59 (define @t43 () (@list @t4 @t2 @t21 @t14)) % 0.37/0.59 (define @t44 () (tptp.lower_bound @t30 @t21 @t2)) % 0.37/0.59 (define @t45 () (tptp.lower_bound @t30 @t21 @t16)) % 0.37/0.59 (define @t46 () (forall @t41 (=> @t45 @t44))) % 0.37/0.59 (define @t47 () (tptp.subset @t2 @t16)) % 0.37/0.59 (define @t48 () (tptp.subset @t16 @t14)) % 0.37/0.59 (define @t49 () (tptp.subset @t2 @t14)) % 0.37/0.59 (define @t50 () (and @t49 @t48 @t47)) % 0.37/0.59 (define @t51 () (=> @t50 @t46)) % 0.37/0.59 (define @t52 () (forall @t27 @t51)) % 0.37/0.59 (define @t53 () (=> @t28 @t52)) % 0.37/0.59 (define @t54 () (forall @t29 @t53)) % 0.37/0.59 (define @t55 () (not @t54)) % 0.37/0.59 (define @t56 () (@var "BOUND_VARIABLE_7770" $$unsorted)) % 0.37/0.59 (define @t57 () (@var "BOUND_VARIABLE_7774" $$unsorted)) % 0.37/0.59 (define @t58 () (tptp.lower_bound @t57 @t21 @t56)) % 0.37/0.59 (define @t59 () (@var "BOUND_VARIABLE_7772" $$unsorted)) % 0.37/0.59 (define @t60 () (not (tptp.lower_bound @t57 @t21 @t59))) % 0.37/0.59 (define @t61 () (not (tptp.subset @t56 @t59))) % 0.37/0.59 (define @t62 () (not (tptp.subset @t59 @t14))) % 0.37/0.59 (define @t63 () (not (tptp.subset @t56 @t14))) % 0.37/0.59 (define @t64 () (not @t28)) % 0.37/0.59 (define @t65 () (or @t64 @t63 @t62 @t61 @t60 @t58)) % 0.37/0.59 (define @t66 () (@list @t21 @t14 @t56 @t59 @t57)) % 0.37/0.59 (define @t67 () (forall @t66 @t65)) % 0.37/0.59 (define @t68 () (@quantifiers_skolemize @t67 4)) % 0.37/0.59 (define @t69 () (@quantifiers_skolemize @t67 2)) % 0.37/0.59 (define @t70 () (@quantifiers_skolemize @t67 0)) % 0.37/0.59 (define @t71 () (or @t63 @t62 @t61 @t60 @t58)) % 0.37/0.59 (define @t72 () (or @t64 @t71)) % 0.37/0.59 (define @t73 () (forall @t66 @t72)) % 0.37/0.59 (define @t74 () (@list @t56 @t59 @t57)) % 0.37/0.59 (define @t75 () (forall @t74 @t72)) % 0.37/0.59 (define @t76 () (forall @t74 @t71)) % 0.37/0.59 (define @t77 () (@var "BOUND_VARIABLE_7754" $$unsorted)) % 0.37/0.59 (define @t78 () (or @t64 @t76)) % 0.37/0.59 (define @t79 () (tptp.lower_bound @t77 @t21 @t2)) % 0.37/0.59 (define @t80 () (not (tptp.lower_bound @t77 @t21 @t16))) % 0.37/0.59 (define @t81 () (not @t47)) % 0.37/0.59 (define @t82 () (not @t48)) % 0.37/0.59 (define @t83 () (not @t49)) % 0.37/0.59 (define @t84 () (or @t83 @t82 @t81 @t80 @t79)) % 0.37/0.59 (define @t85 () (@list @t2 @t16 @t77)) % 0.37/0.59 (define @t86 () (forall @t85 @t84)) % 0.37/0.59 (define @t87 () (or @t80 @t79)) % 0.37/0.59 (define @t88 () (or @t83 @t82 @t81 @t87)) % 0.37/0.59 (define @t89 () (forall @t85 @t88)) % 0.37/0.59 (define @t90 () (@list @t77)) % 0.37/0.59 (define @t91 () (forall @t90 @t88)) % 0.37/0.59 (define @t92 () (forall @t90 @t87)) % 0.37/0.59 (define @t93 () (or @t83 @t82 @t81 @t92)) % 0.37/0.59 (define @t94 () (forall @t41 (or (not @t45) @t44))) % 0.37/0.59 (define @t95 () (or @t83 @t82 @t81 @t94)) % 0.37/0.59 (define @t96 () (or @t83 @t82 @t81)) % 0.37/0.59 (define @t97 () (tptp.lower_bound @t68 @t70 @t69)) % 0.37/0.59 (define @t98 () (@quantifiers_skolemize @t67 3)) % 0.37/0.59 (define @t99 () (tptp.lower_bound @t68 @t70 @t98)) % 0.37/0.59 (define @t100 () (not @t99)) % 0.37/0.59 (define @t101 () (tptp.subset @t69 @t98)) % 0.37/0.59 (define @t102 () (not @t101)) % 0.37/0.59 (define @t103 () (@quantifiers_skolemize @t67 1)) % 0.37/0.59 (define @t104 () (or (not (tptp.order @t70 @t103)) (not (tptp.subset @t69 @t103)) (not (tptp.subset @t98 @t103)) @t102 @t100 @t97)) % 0.37/0.59 (define @t105 () (@list true)) % 0.37/0.59 (define @t106 () (@list @t104)) % 0.37/0.59 (define @t107 () (tptp.apply @t70 @t68 @t2)) % 0.37/0.59 (define @t108 () (not (tptp.member @t2 @t69))) % 0.37/0.59 (define @t109 () (forall @t6 (or @t108 @t107))) % 0.37/0.59 (define @t110 () (= @t97 @t109)) % 0.37/0.59 (define @t111 () (not @t109)) % 0.37/0.59 (define @t112 () (@quantifiers_skolemize @t109 0)) % 0.37/0.59 (define @t113 () (tptp.apply @t70 @t68 @t112)) % 0.37/0.59 (define @t114 () (tptp.member @t112 @t69)) % 0.37/0.59 (define @t115 () (not @t114)) % 0.37/0.59 (define @t116 () (or @t115 @t113)) % 0.37/0.59 (define @t117 () (@list @t116)) % 0.37/0.59 (define @t118 () (tptp.member @t2 @t98)) % 0.37/0.59 (define @t119 () (forall @t6 (or (not @t118) @t107))) % 0.37/0.59 (define @t120 () (= @t99 @t119)) % 0.37/0.59 (define @t121 () (@list false false)) % 0.37/0.59 (define @t122 () (@list @t112)) % 0.37/0.59 (define @t123 () (forall @t6 (or @t108 @t118))) % 0.37/0.59 (define @t124 () (= @t101 @t123)) % 0.37/0.59 (define @t125 () (tptp.member @t112 @t98)) % 0.37/0.59 (define @t126 () (or @t115 @t125)) % 0.37/0.59 (define @t127 () (not @t125)) % 0.37/0.59 (define @t128 () (or @t127 @t113)) % 0.37/0.59 (assume @p1 @t11) % 0.37/0.59 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.37/0.59 (assume @p3 (forall @t12 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.37/0.59 (assume @p4 (forall @t13 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.37/0.59 (assume @p5 (forall @t13 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.37/0.59 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.37/0.59 (assume @p7 (forall (@list @t1 @t4 @t14) (= (tptp.member @t1 (tptp.difference @t14 @t4)) (and (tptp.member @t1 @t14) (not (tptp.member @t1 @t4)))))) % 0.37/0.59 (assume @p8 (forall @t12 (= (tptp.member @t2 (tptp.singleton @t4)) @t15))) % 0.37/0.59 (assume @p9 (forall @t13 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t15 (= @t2 @t1))))) % 0.37/0.59 (assume @p10 (forall @t12 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t19 (and @t18 @t17))))) % 0.37/0.59 (assume @p11 (forall @t12 (= (tptp.member @t2 (tptp.product @t4)) (forall @t19 (=> @t18 @t17))))) % 0.37/0.59 (assume @p12 (forall @t29 (= @t28 (and (forall @t6 (=> @t24 (tptp.apply @t21 @t2 @t2))) (forall @t27 (=> @t26 (=> (and @t22 @t25) (= @t2 @t16)))) (forall (@list @t2 @t16 @t20) (=> (and @t24 @t23 (tptp.member @t20 @t14)) (=> (and @t22 (tptp.apply @t21 @t16 @t20)) (tptp.apply @t21 @t2 @t20)))))))) % 0.37/0.59 (assume @p13 (forall @t29 (= (tptp.total_order @t21 @t14) (and @t28 (forall @t27 (=> @t26 (or @t22 @t25))))))) % 0.37/0.59 (assume @p14 (forall @t33 (= (tptp.upper_bound @t30 @t21 @t14) @t32))) % 0.37/0.59 (assume @p15 @t38) % 0.37/0.59 (assume @p16 (forall @t33 (= (tptp.greatest @t30 @t21 @t14) (and @t39 @t32)))) % 0.37/0.59 (assume @p17 (forall @t33 (= (tptp.least @t30 @t21 @t14) (and @t39 @t35)))) % 0.37/0.59 (assume @p18 (forall @t33 (= (tptp.max @t30 @t21 @t14) (and @t39 (forall @t6 (=> (and @t24 @t34) @t40)))))) % 0.37/0.59 (assume @p19 (forall @t33 (= (tptp.min @t30 @t21 @t14) (and @t39 (forall @t6 (=> (and @t24 @t31) @t40)))))) % 0.37/0.59 (assume @p20 (forall @t43 (= (tptp.least_upper_bound @t4 @t2 @t21 @t14) (and @t42 (tptp.upper_bound @t4 @t21 @t2) (forall @t41 (=> (and @t39 (tptp.upper_bound @t30 @t21 @t2)) (tptp.apply @t21 @t4 @t30))))))) % 0.37/0.59 (assume @p21 (forall @t43 (= (tptp.greatest_lower_bound @t4 @t2 @t21 @t14) (and @t42 (tptp.lower_bound @t4 @t21 @t2) (forall @t41 (=> (and @t39 @t44) (tptp.apply @t21 @t30 @t4))))))) % 0.37/0.59 (assume @p22 @t55) % 0.37/0.59 (assume @p23 true) % 0.37/0.59 (step @p24 :rule bool-impl-elim :args (@t24 @t34)) % 0.37/0.59 (step @p25 :rule cong :premises (@p24) :args (@t35)) % 0.37/0.59 (step @p26 :rule refl :args (@t36)) % 0.37/0.59 (step @p27 :rule cong :premises (@p26 @p25) :args (@t37)) % 0.37/0.59 (step @p28 :rule cong :premises (@p27) :args (@t38)) % 0.37/0.59 (step @p29 :rule eq_resolve :premises (@p15 @p28)) % 0.37/0.59 (step @p30 :rule instantiate :premises (@p29) :args ((@list @t70 @t69 @t68))) % 0.37/0.59 (step @p31 :rule aci_norm :args ((= @t72 @t65))) % 0.37/0.59 (step @p32 :rule cong :premises (@p31) :args (@t73)) % 0.37/0.59 (step @p33 :rule quant-merge-prenex :args ((= (forall @t29 @t75) @t73))) % 0.37/0.59 (step @p34 :rule alpha_equiv :args (@t76 (@list @t56 @t59 @t57) (@list @t2 @t16 @t77))) % 0.37/0.59 (step @p35 :rule refl :args (@t64)) % 0.37/0.59 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t78)) % 0.37/0.59 (step @p37 :rule quant-miniscope-or :args ((= @t75 @t78))) % 0.37/0.59 (step @p38 :rule trans :premises (@p37 @p36)) % 0.37/0.59 (step @p39 :rule symm :premises (@p38)) % 0.37/0.59 (step @p40 :rule cong :premises (@p39) :args ((forall @t29 (or @t64 @t86)))) % 0.37/0.59 (step @p41 :rule trans :premises (@p40 @p33)) % 0.37/0.59 (step @p42 :rule trans :premises (@p41 @p32)) % 0.37/0.59 (step @p43 :rule bool-impl-elim :args (@t28 @t86)) % 0.37/0.59 (step @p44 :rule cong :premises (@p43) :args ((forall @t29 (=> @t28 @t86)))) % 0.37/0.59 (step @p45 :rule trans :premises (@p44 @p42)) % 0.37/0.59 (step @p46 :rule aci_norm :args ((= @t88 @t84))) % 0.37/0.59 (step @p47 :rule cong :premises (@p46) :args (@t89)) % 0.37/0.59 (step @p48 :rule quant-merge-prenex :args ((= (forall @t27 @t91) @t89))) % 0.37/0.59 (step @p49 :rule alpha_equiv :args (@t92 (@list @t77) (@list @t30))) % 0.37/0.59 (step @p50 :rule refl :args (@t81)) % 0.37/0.59 (step @p51 :rule refl :args (@t82)) % 0.37/0.59 (step @p52 :rule refl :args (@t83)) % 0.37/0.59 (step @p53 :rule nary_cong :premises (@p52 @p51 @p50 @p49) :args (@t93)) % 0.37/0.59 (step @p54 :rule quant-miniscope-or :args ((= @t91 @t93))) % 0.37/0.59 (step @p55 :rule trans :premises (@p54 @p53)) % 0.37/0.59 (step @p56 :rule symm :premises (@p55)) % 0.37/0.59 (step @p57 :rule cong :premises (@p56) :args ((forall @t27 @t95))) % 0.37/0.59 (step @p58 :rule trans :premises (@p57 @p48)) % 0.37/0.59 (step @p59 :rule trans :premises (@p58 @p47)) % 0.37/0.59 (step @p60 :rule aci_norm :args ((= (or @t96 @t94) @t95))) % 0.37/0.59 (step @p61 :rule refl :args (@t94)) % 0.37/0.59 (step @p62 :rule aci_norm :args ((= (or @t83 (or @t82 @t81)) @t96))) % 0.37/0.59 (step @p63 :rule bool-and-de-morgan :args (@t48 @t47 true)) % 0.37/0.59 (step @p64 :rule nary_cong :premises (@p52 @p63) :args ((or @t83 (not (and @t48 @t47))))) % 0.37/0.59 (step @p65 :rule bool-and-de-morgan :args (@t49 @t48 (and @t47))) % 0.37/0.59 (step @p66 :rule trans :premises (@p65 @p64)) % 0.37/0.59 (step @p67 :rule trans :premises (@p66 @p62)) % 0.37/0.59 (step @p68 :rule nary_cong :premises (@p67 @p61) :args ((or (not @t50) @t94))) % 0.37/0.59 (step @p69 :rule trans :premises (@p68 @p60)) % 0.37/0.59 (step @p70 :rule bool-impl-elim :args (@t50 @t94)) % 0.37/0.59 (step @p71 :rule trans :premises (@p70 @p69)) % 0.37/0.59 (step @p72 :rule cong :premises (@p71) :args ((forall @t27 (=> @t50 @t94)))) % 0.37/0.59 (step @p73 :rule trans :premises (@p72 @p59)) % 0.37/0.59 (step @p74 :rule bool-impl-elim :args (@t45 @t44)) % 0.37/0.59 (step @p75 :rule cong :premises (@p74) :args (@t46)) % 0.37/0.59 (step @p76 :rule refl :args (@t50)) % 0.37/0.59 (step @p77 :rule cong :premises (@p76 @p75) :args (@t51)) % 0.37/0.59 (step @p78 :rule cong :premises (@p77) :args (@t52)) % 0.37/0.59 (step @p79 :rule trans :premises (@p78 @p73)) % 0.37/0.59 (step @p80 :rule refl :args (@t28)) % 0.37/0.59 (step @p81 :rule cong :premises (@p80 @p79) :args (@t53)) % 0.37/0.59 (step @p82 :rule cong :premises (@p81) :args (@t54)) % 0.37/0.59 (step @p83 :rule trans :premises (@p82 @p45)) % 0.37/0.59 (step @p84 :rule cong :premises (@p83) :args (@t55)) % 0.37/0.59 (step @p85 :rule eq_resolve :premises (@p22 @p84)) % 0.37/0.59 (step @p86 :rule skolemize :premises (@p85)) % 0.37/0.59 (step @p87 :rule cnf_or_neg :args (@t104 5)) % 0.37/0.59 (step @p88 :rule chain_m_resolution :premises (@p87 @p86) :args ((not @t97) @t105 @t106)) % 0.37/0.59 (step @p89 :rule cnf_equiv_pos2 :args (@t110)) % 0.37/0.59 (step @p90 :rule reordering :premises (@p89) :args ((or @t97 @t111 (not @t110)))) % 0.37/0.59 (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p30) :args (@t111 (@list true false) (@list @t97 @t110))) % 0.37/0.59 (step @p92 :rule skolemize :premises (@p91)) % 0.37/0.59 (step @p93 :rule cnf_or_neg :args (@t116 1)) % 0.37/0.59 (step @p94 :rule chain_m_resolution :premises (@p93 @p92) :args ((not @t113) @t105 @t117)) % 0.37/0.59 (step @p95 :rule instantiate :premises (@p29) :args ((@list @t70 @t98 @t68))) % 0.37/0.59 (step @p96 :rule bool-double-not-elim :args (@t99)) % 0.37/0.59 (step @p97 :rule refl :args (@t104)) % 0.37/0.59 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t104 (not @t100)))) % 0.37/0.59 (step @p99 :rule cnf_or_neg :args (@t104 4)) % 0.37/0.59 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 0.37/0.59 (step @p101 :rule reordering :premises (@p100) :args ((or @t99 @t104))) % 0.37/0.59 (step @p102 :rule chain_m_resolution :premises (@p101 @p86) :args (@t99 @t105 @t106)) % 0.37/0.59 (step @p103 :rule cnf_equiv_pos1 :args (@t120)) % 0.37/0.59 (step @p104 :rule reordering :premises (@p103) :args ((or @t100 @t119 (not @t120)))) % 0.37/0.59 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p95) :args (@t119 @t121 (@list @t99 @t120))) % 0.37/0.59 (step @p106 :rule instantiate :premises (@p105) :args (@t122)) % 0.37/0.59 (step @p107 :rule bool-impl-elim :args (@t5 @t3)) % 0.37/0.59 (step @p108 :rule cong :premises (@p107) :args (@t7)) % 0.37/0.59 (step @p109 :rule refl :args (@t8)) % 0.37/0.59 (step @p110 :rule cong :premises (@p109 @p108) :args (@t9)) % 0.37/0.59 (step @p111 :rule cong :premises (@p110) :args (@t11)) % 0.37/0.59 (step @p112 :rule eq_resolve :premises (@p1 @p111)) % 0.37/0.59 (step @p113 :rule instantiate :premises (@p112) :args ((@list @t69 @t98))) % 0.37/0.59 (step @p114 :rule bool-double-not-elim :args (@t101)) % 0.37/0.59 (step @p115 :rule nary_cong :premises (@p97 @p114) :args ((or @t104 (not @t102)))) % 0.37/0.59 (step @p116 :rule cnf_or_neg :args (@t104 3)) % 0.37/0.59 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 0.37/0.59 (step @p118 :rule reordering :premises (@p117) :args ((or @t101 @t104))) % 0.37/0.59 (step @p119 :rule chain_m_resolution :premises (@p118 @p86) :args (@t101 @t105 @t106)) % 0.37/0.59 (step @p120 :rule cnf_equiv_pos1 :args (@t124)) % 0.37/0.59 (step @p121 :rule reordering :premises (@p120) :args ((or @t102 @t123 (not @t124)))) % 0.37/0.59 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p113) :args (@t123 @t121 (@list @t101 @t124))) % 0.37/0.59 (step @p123 :rule instantiate :premises (@p122) :args (@t122)) % 0.37/0.59 (step @p124 :rule bool-double-not-elim :args (@t114)) % 0.37/0.59 (step @p125 :rule refl :args (@t116)) % 0.37/0.59 (step @p126 :rule nary_cong :premises (@p125 @p124) :args ((or @t116 (not @t115)))) % 0.37/0.59 (step @p127 :rule cnf_or_neg :args (@t116 0)) % 0.37/0.59 (step @p128 :rule eq_resolve :premises (@p127 @p126)) % 0.37/0.59 (step @p129 :rule reordering :premises (@p128) :args ((or @t114 @t116))) % 0.37/0.59 (step @p130 :rule chain_m_resolution :premises (@p129 @p92) :args (@t114 @t105 @t117)) % 0.37/0.59 (step @p131 :rule cnf_or_pos :args (@t126)) % 0.37/0.59 (step @p132 :rule reordering :premises (@p131) :args ((or @t115 @t125 (not @t126)))) % 0.37/0.59 (step @p133 :rule chain_m_resolution :premises (@p132 @p130 @p123) :args (@t125 @t121 (@list @t114 @t126))) % 0.37/0.59 (step @p134 :rule cnf_or_pos :args (@t128)) % 0.37/0.59 (step @p135 :rule reordering :premises (@p134) :args ((or @t113 @t127 (not @t128)))) % 0.37/0.59 (step @p136 false :rule chain_m_resolution :premises (@p135 @p133 @p106 @p94) :args (false (@list false false true) (@list @t125 @t128 @t113))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------