%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET762+4 : TPTP v9.2.1. Bugfixed v2.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:48:36 AM UTC 2026 % Result : Theorem 0.39s 0.60s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET762+4 : TPTP v9.2.1. Bugfixed v2.2.1. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n018.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 16:10:50 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.60 % SZS status Theorem % 0.39/0.60 % SZS output start Proof % 0.39/0.60 ( % 0.39/0.60 (declare-sort $$unsorted 0) % 0.39/0.60 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.inverse_function (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.empty_set $$unsorted) % 0.39/0.60 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.equal_maps (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.one_to_one (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.increasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.surjective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.isomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.compose_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.identity (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.injective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.compose_function (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.inverse_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.inverse_image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.decreasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.inverse_image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (define @t1 () (@var "B" $$unsorted)) % 0.39/0.60 (define @t2 () (@var "X" $$unsorted)) % 0.39/0.60 (define @t3 () (tptp.member @t2 @t1)) % 0.39/0.60 (define @t4 () (@var "A" $$unsorted)) % 0.39/0.60 (define @t5 () (tptp.member @t2 @t4)) % 0.39/0.60 (define @t6 () (@list @t2)) % 0.39/0.60 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.39/0.60 (define @t8 () (tptp.subset @t4 @t1)) % 0.39/0.60 (define @t9 () (= @t8 @t7)) % 0.39/0.60 (define @t10 () (@list @t4 @t1)) % 0.39/0.60 (define @t11 () (forall @t10 @t9)) % 0.39/0.60 (define @t12 () (@list @t2 @t4)) % 0.39/0.60 (define @t13 () (@list @t2 @t4 @t1)) % 0.39/0.60 (define @t14 () (tptp.member @t2 tptp.empty_set)) % 0.39/0.60 (define @t15 () (not @t14)) % 0.39/0.60 (define @t16 () (forall @t6 @t15)) % 0.39/0.60 (define @t17 () (@var "E" $$unsorted)) % 0.39/0.60 (define @t18 () (= @t2 @t4)) % 0.39/0.60 (define @t19 () (@var "Y" $$unsorted)) % 0.39/0.60 (define @t20 () (tptp.member @t2 @t19)) % 0.39/0.60 (define @t21 () (tptp.member @t19 @t4)) % 0.39/0.60 (define @t22 () (@list @t19)) % 0.39/0.60 (define @t23 () (@var "Y2" $$unsorted)) % 0.39/0.60 (define @t24 () (@var "Y1" $$unsorted)) % 0.39/0.60 (define @t25 () (= @t24 @t23)) % 0.39/0.60 (define @t26 () (@var "F" $$unsorted)) % 0.39/0.60 (define @t27 () (tptp.apply @t26 @t2 @t24)) % 0.39/0.60 (define @t28 () (tptp.member @t23 @t1)) % 0.39/0.60 (define @t29 () (tptp.member @t24 @t1)) % 0.39/0.60 (define @t30 () (and @t5 @t29 @t28)) % 0.39/0.60 (define @t31 () (@list @t2 @t24 @t23)) % 0.39/0.60 (define @t32 () (tptp.apply @t26 @t2 @t19)) % 0.39/0.60 (define @t33 () (tptp.member @t19 @t1)) % 0.39/0.60 (define @t34 () (exists @t22 (and @t33 @t32))) % 0.39/0.60 (define @t35 () (tptp.maps @t26 @t4 @t1)) % 0.39/0.60 (define @t36 () (@list @t26 @t4 @t1)) % 0.39/0.60 (define @t37 () (@var "Z" $$unsorted)) % 0.39/0.60 (define @t38 () (@var "G" $$unsorted)) % 0.39/0.60 (define @t39 () (exists @t22 (and @t33 @t32 (tptp.apply @t38 @t19 @t37)))) % 0.39/0.60 (define @t40 () (@var "H" $$unsorted)) % 0.39/0.60 (define @t41 () (@var "C" $$unsorted)) % 0.39/0.60 (define @t42 () (and @t5 (tptp.member @t37 @t41))) % 0.39/0.60 (define @t43 () (@var "X2" $$unsorted)) % 0.39/0.60 (define @t44 () (@var "X1" $$unsorted)) % 0.39/0.60 (define @t45 () (tptp.member @t43 @t4)) % 0.39/0.60 (define @t46 () (tptp.member @t44 @t4)) % 0.39/0.60 (define @t47 () (tptp.injective @t26 @t4 @t1)) % 0.39/0.60 (define @t48 () (tptp.surjective @t26 @t4 @t1)) % 0.39/0.60 (define @t49 () (tptp.one_to_one @t26 @t4 @t1)) % 0.39/0.60 (define @t50 () (and @t5 @t33)) % 0.39/0.60 (define @t51 () (and @t5 @t32)) % 0.39/0.60 (define @t52 () (exists @t6 @t51)) % 0.39/0.60 (define @t53 () (tptp.member @t19 (tptp.image2 @t26 @t4))) % 0.39/0.60 (define @t54 () (= @t53 @t52)) % 0.39/0.60 (define @t55 () (forall (@list @t26 @t4 @t19) @t54)) % 0.39/0.60 (define @t56 () (@var "S" $$unsorted)) % 0.39/0.60 (define @t57 () (tptp.apply @t56 @t24 @t23)) % 0.39/0.60 (define @t58 () (tptp.apply @t26 @t43 @t23)) % 0.39/0.60 (define @t59 () (tptp.apply @t26 @t44 @t24)) % 0.39/0.60 (define @t60 () (@var "R" $$unsorted)) % 0.39/0.60 (define @t61 () (tptp.apply @t60 @t44 @t43)) % 0.39/0.60 (define @t62 () (and @t46 @t29 @t45 @t28 @t61 @t59 @t58)) % 0.39/0.60 (define @t63 () (@list @t44 @t24 @t43 @t23)) % 0.39/0.60 (define @t64 () (@list @t26 @t4 @t60 @t1 @t56)) % 0.39/0.60 (define @t65 () (tptp.equal_set (tptp.image2 @t26 tptp.empty_set) tptp.empty_set)) % 0.39/0.60 (define @t66 () (forall @t36 (=> @t35 @t65))) % 0.39/0.60 (define @t67 () (not @t66)) % 0.39/0.60 (define @t68 () (forall @t6 (not @t51))) % 0.39/0.60 (define @t69 () (not @t68)) % 0.39/0.60 (define @t70 () (forall @t36 (or (not @t35) @t65))) % 0.39/0.60 (define @t71 () (@quantifiers_skolemize @t70 0)) % 0.39/0.60 (define @t72 () (tptp.image2 @t71 tptp.empty_set)) % 0.39/0.60 (define @t73 () (tptp.member @t2 @t72)) % 0.39/0.60 (define @t74 () (forall @t6 (or (not @t73) @t14))) % 0.39/0.60 (define @t75 () (@quantifiers_skolemize @t74 0)) % 0.39/0.60 (define @t76 () (@list @t72 tptp.empty_set)) % 0.39/0.60 (define @t77 () (forall @t6 (or @t15 @t73))) % 0.39/0.60 (define @t78 () (@quantifiers_skolemize @t77 0)) % 0.39/0.60 (define @t79 () (tptp.member @t78 tptp.empty_set)) % 0.39/0.60 (define @t80 () (not @t79)) % 0.39/0.60 (define @t81 () (or @t80 (tptp.member @t78 @t72))) % 0.39/0.60 (define @t82 () (@list true)) % 0.39/0.60 (define @t83 () (not @t81)) % 0.39/0.60 (define @t84 () (not @t77)) % 0.39/0.60 (define @t85 () (tptp.subset tptp.empty_set @t72)) % 0.39/0.60 (define @t86 () (= @t85 @t77)) % 0.39/0.60 (define @t87 () (@list false false)) % 0.39/0.60 (define @t88 () (tptp.equal_set @t72 tptp.empty_set)) % 0.39/0.60 (define @t89 () (or (not (tptp.maps @t71 (@quantifiers_skolemize @t70 1) (@quantifiers_skolemize @t70 2))) @t88)) % 0.39/0.60 (define @t90 () (tptp.subset @t72 tptp.empty_set)) % 0.39/0.60 (define @t91 () (and @t90 @t85)) % 0.39/0.60 (define @t92 () (= @t88 @t91)) % 0.39/0.60 (define @t93 () (not @t91)) % 0.39/0.60 (define @t94 () (@list true false)) % 0.39/0.60 (define @t95 () (= @t90 @t74)) % 0.39/0.60 (define @t96 () (not @t74)) % 0.39/0.60 (define @t97 () (tptp.member @t75 @t72)) % 0.39/0.60 (define @t98 () (not @t97)) % 0.39/0.60 (define @t99 () (or @t98 (tptp.member @t75 tptp.empty_set))) % 0.39/0.60 (define @t100 () (not @t99)) % 0.39/0.60 (define @t101 () (forall @t6 (or @t15 (not (tptp.apply @t71 @t2 @t75))))) % 0.39/0.60 (define @t102 () (not @t101)) % 0.39/0.60 (define @t103 () (= @t97 @t102)) % 0.39/0.60 (define @t104 () (@quantifiers_skolemize @t101 0)) % 0.39/0.60 (define @t105 () (tptp.member @t104 tptp.empty_set)) % 0.39/0.60 (define @t106 () (not @t105)) % 0.39/0.60 (define @t107 () (or @t106 (not (tptp.apply @t71 @t104 @t75)))) % 0.39/0.60 (define @t108 () (not @t107)) % 0.39/0.60 (assume @p1 @t11) % 0.39/0.60 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.39/0.60 (assume @p3 (forall @t12 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.39/0.60 (assume @p4 (forall @t13 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.39/0.60 (assume @p5 (forall @t13 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.39/0.60 (assume @p6 @t16) % 0.39/0.60 (assume @p7 (forall (@list @t1 @t4 @t17) (= (tptp.member @t1 (tptp.difference @t17 @t4)) (and (tptp.member @t1 @t17) (not (tptp.member @t1 @t4)))))) % 0.39/0.60 (assume @p8 (forall @t12 (= (tptp.member @t2 (tptp.singleton @t4)) @t18))) % 0.39/0.60 (assume @p9 (forall @t13 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t18 (= @t2 @t1))))) % 0.39/0.60 (assume @p10 (forall @t12 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t22 (and @t21 @t20))))) % 0.39/0.60 (assume @p11 (forall @t12 (= (tptp.member @t2 (tptp.product @t4)) (forall @t22 (=> @t21 @t20))))) % 0.39/0.60 (assume @p12 (forall @t36 (= @t35 (and (forall @t6 (=> @t5 @t34)) (forall @t31 (=> @t30 (=> (and @t27 (tptp.apply @t26 @t2 @t23)) @t25))))))) % 0.39/0.60 (assume @p13 (forall (@list @t40 @t38 @t26 @t4 @t1 @t41) (= (tptp.compose_predicate @t40 @t38 @t26 @t4 @t1 @t41) (forall (@list @t2 @t37) (=> @t42 (= (tptp.apply @t40 @t2 @t37) @t39)))))) % 0.39/0.60 (assume @p14 (forall (@list @t38 @t26 @t4 @t1 @t41 @t2 @t37) (=> @t42 (= (tptp.apply (tptp.compose_function @t38 @t26 @t4 @t1 @t41) @t2 @t37) @t39)))) % 0.39/0.60 (assume @p15 (forall (@list @t26 @t38 @t4 @t1) (= (tptp.equal_maps @t26 @t38 @t4 @t1) (forall @t31 (=> @t30 (=> (and @t27 (tptp.apply @t38 @t2 @t23)) @t25)))))) % 0.39/0.60 (assume @p16 (forall (@list @t26 @t4) (= (tptp.identity @t26 @t4) (forall @t6 (=> @t5 (tptp.apply @t26 @t2 @t2)))))) % 0.39/0.60 (assume @p17 (forall @t36 (= @t47 (forall (@list @t44 @t43 @t19) (=> (and @t46 @t45 @t33) (=> (and (tptp.apply @t26 @t44 @t19) (tptp.apply @t26 @t43 @t19)) (= @t44 @t43))))))) % 0.39/0.60 (assume @p18 (forall @t36 (= @t48 (forall @t22 (=> @t33 (exists (@list @t17) (and (tptp.member @t17 @t4) (tptp.apply @t26 @t17 @t19)))))))) % 0.39/0.60 (assume @p19 (forall @t36 (= @t49 (and @t47 @t48)))) % 0.39/0.60 (assume @p20 (forall (@list @t38 @t26 @t4 @t1) (= (tptp.inverse_predicate @t38 @t26 @t4 @t1) (forall (@list @t2 @t19) (=> @t50 (= @t32 (tptp.apply @t38 @t19 @t2))))))) % 0.39/0.60 (assume @p21 (forall (@list @t26 @t4 @t1 @t2 @t19) (=> @t50 (= @t32 (tptp.apply (tptp.inverse_function @t26 @t4 @t1) @t19 @t2))))) % 0.39/0.60 (assume @p22 @t55) % 0.39/0.60 (assume @p23 (forall (@list @t26 @t4 @t1 @t19) (= (tptp.member @t19 (tptp.image3 @t26 @t4 @t1)) (and @t33 @t52)))) % 0.39/0.60 (assume @p24 (forall (@list @t26 @t1 @t2) (= (tptp.member @t2 (tptp.inverse_image2 @t26 @t1)) @t34))) % 0.39/0.60 (assume @p25 (forall (@list @t26 @t1 @t4 @t2) (= (tptp.member @t2 (tptp.inverse_image3 @t26 @t1 @t4)) (and @t5 @t34)))) % 0.39/0.60 (assume @p26 (forall @t64 (= (tptp.increasing @t26 @t4 @t60 @t1 @t56) (forall @t63 (=> @t62 @t57))))) % 0.39/0.60 (assume @p27 (forall @t64 (= (tptp.decreasing @t26 @t4 @t60 @t1 @t56) (forall @t63 (=> @t62 (tptp.apply @t56 @t23 @t24)))))) % 0.39/0.60 (assume @p28 (forall @t64 (= (tptp.isomorphism @t26 @t4 @t60 @t1 @t56) (and @t35 @t49 (forall @t63 (=> (and @t46 @t29 @t45 @t28 @t59 @t58) (= @t61 @t57))))))) % 0.39/0.60 (assume @p29 @t67) % 0.39/0.60 (assume @p30 true) % 0.39/0.60 (step @p31 :rule bool-and-de-morgan :args (@t5 @t32 true)) % 0.39/0.60 (step @p32 :rule cong :premises (@p31) :args (@t68)) % 0.39/0.60 (step @p33 :rule cong :premises (@p32) :args (@t69)) % 0.39/0.60 (step @p34 :rule exists-elim :args ((= @t52 @t69))) % 0.39/0.60 (step @p35 :rule trans :premises (@p34 @p33)) % 0.39/0.60 (step @p36 :rule refl :args (@t53)) % 0.39/0.60 (step @p37 :rule cong :premises (@p36 @p35) :args (@t54)) % 0.39/0.60 (step @p38 :rule cong :premises (@p37) :args (@t55)) % 0.39/0.60 (step @p39 :rule eq_resolve :premises (@p22 @p38)) % 0.39/0.60 (step @p40 :rule instantiate :premises (@p39) :args ((@list @t71 tptp.empty_set @t75))) % 0.39/0.60 (step @p41 :rule bool-impl-elim :args (@t5 @t3)) % 0.39/0.60 (step @p42 :rule cong :premises (@p41) :args (@t7)) % 0.39/0.60 (step @p43 :rule refl :args (@t8)) % 0.39/0.60 (step @p44 :rule cong :premises (@p43 @p42) :args (@t9)) % 0.39/0.60 (step @p45 :rule cong :premises (@p44) :args (@t11)) % 0.39/0.60 (step @p46 :rule eq_resolve :premises (@p1 @p45)) % 0.39/0.60 (step @p47 :rule instantiate :premises (@p46) :args (@t76)) % 0.39/0.60 (step @p48 :rule instantiate :premises (@p46) :args ((@list tptp.empty_set @t72))) % 0.39/0.60 (step @p49 :rule instantiate :premises (@p6) :args ((@list @t78))) % 0.39/0.60 (step @p50 :rule bool-double-not-elim :args (@t79)) % 0.39/0.60 (step @p51 :rule refl :args (@t81)) % 0.39/0.60 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t81 (not @t80)))) % 0.39/0.60 (step @p53 :rule cnf_or_neg :args (@t81 0)) % 0.39/0.60 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 0.39/0.60 (step @p55 :rule reordering :premises (@p54) :args ((or @t79 @t81))) % 0.39/0.60 (step @p56 :rule chain_m_resolution :premises (@p55 @p49) :args (@t81 @t82 (@list @t79))) % 0.39/0.60 (step @p57 :rule refl :args (@t83)) % 0.39/0.60 (step @p58 :rule bool-double-not-elim :args (@t77)) % 0.39/0.60 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or (not @t84) @t83))) % 0.39/0.60 (assume-push @p129 @t84) % 0.39/0.60 (step @p61 :rule skolemize :premises (@p129)) % 0.39/0.60 (step-pop @p130 :rule scope :premises (@p61)) % 0.39/0.60 (step @p62 :rule process_scope :premises (@p130) :args (@t83)) % 0.39/0.60 (step @p64 :rule implies_elim :premises (@p62)) % 0.39/0.60 (step @p65 :rule eq_resolve :premises (@p64 @p59)) % 0.39/0.60 (step @p66 :rule chain_m_resolution :premises (@p65 @p56) :args (@t77 (@list false) (@list @t81))) % 0.39/0.60 (step @p67 :rule cnf_equiv_pos2 :args (@t86)) % 0.39/0.60 (step @p68 :rule reordering :premises (@p67) :args ((or @t85 @t84 (not @t86)))) % 0.39/0.60 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p48) :args (@t85 @t87 (@list @t77 @t86))) % 0.39/0.61 (step @p70 :rule instantiate :premises (@p2) :args (@t76)) % 0.39/0.61 (step @p71 :rule bool-impl-elim :args (@t35 @t65)) % 0.39/0.61 (step @p72 :rule cong :premises (@p71) :args (@t66)) % 0.39/0.61 (step @p73 :rule cong :premises (@p72) :args (@t67)) % 0.39/0.61 (step @p74 :rule eq_resolve :premises (@p29 @p73)) % 0.39/0.61 (step @p75 :rule skolemize :premises (@p74)) % 0.39/0.61 (step @p76 :rule cnf_or_neg :args (@t89 1)) % 0.39/0.61 (step @p77 :rule chain_m_resolution :premises (@p76 @p75) :args ((not @t88) @t82 (@list @t89))) % 0.39/0.61 (step @p78 :rule cnf_equiv_pos2 :args (@t92)) % 0.39/0.61 (step @p79 :rule reordering :premises (@p78) :args ((or @t88 @t93 (not @t92)))) % 0.39/0.61 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p70) :args (@t93 @t94 (@list @t88 @t92))) % 0.39/0.61 (step @p81 :rule cnf_and_neg :args (@t91)) % 0.39/0.61 (step @p82 :rule chain_m_resolution :premises (@p81 @p80 @p69) :args ((not @t90) @t94 (@list @t91 @t85))) % 0.39/0.61 (step @p83 :rule cnf_equiv_pos2 :args (@t95)) % 0.39/0.61 (step @p84 :rule reordering :premises (@p83) :args ((or @t90 @t96 (not @t95)))) % 0.39/0.61 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p47) :args (@t96 @t94 (@list @t90 @t95))) % 0.39/0.61 (step @p86 :rule refl :args (@t100)) % 0.39/0.61 (step @p87 :rule bool-double-not-elim :args (@t74)) % 0.39/0.61 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or (not @t96) @t100))) % 0.39/0.61 (assume-push @p131 @t96) % 0.39/0.61 (step @p90 :rule skolemize :premises (@p131)) % 0.39/0.61 (step-pop @p132 :rule scope :premises (@p90)) % 0.39/0.61 (step @p91 :rule process_scope :premises (@p132) :args (@t100)) % 0.39/0.61 (step @p93 :rule implies_elim :premises (@p91)) % 0.39/0.61 (step @p94 :rule eq_resolve :premises (@p93 @p88)) % 0.39/0.61 (step @p95 :rule chain_m_resolution :premises (@p94 @p85) :args (@t100 @t82 (@list @t74))) % 0.39/0.61 (step @p96 :rule bool-double-not-elim :args (@t97)) % 0.39/0.61 (step @p97 :rule refl :args (@t99)) % 0.39/0.61 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t99 (not @t98)))) % 0.39/0.61 (step @p99 :rule cnf_or_neg :args (@t99 0)) % 0.39/0.61 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 0.39/0.61 (step @p101 :rule reordering :premises (@p100) :args ((or @t97 @t99))) % 0.39/0.61 (step @p102 :rule chain_m_resolution :premises (@p101 @p95) :args (@t97 @t82 (@list @t99))) % 0.39/0.61 (step @p103 :rule cnf_equiv_pos1 :args (@t103)) % 0.39/0.61 (step @p104 :rule reordering :premises (@p103) :args ((or @t98 @t102 (not @t103)))) % 0.39/0.61 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p40) :args (@t102 @t87 (@list @t97 @t103))) % 0.39/0.61 (step @p106 :rule refl :args (@t108)) % 0.39/0.61 (step @p107 :rule bool-double-not-elim :args (@t101)) % 0.39/0.61 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or (not @t102) @t108))) % 0.39/0.61 (assume-push @p133 @t102) % 0.39/0.61 (step @p110 :rule skolemize :premises (@p133)) % 0.39/0.61 (step-pop @p134 :rule scope :premises (@p110)) % 0.39/0.61 (step @p111 :rule process_scope :premises (@p134) :args (@t108)) % 0.39/0.61 (step @p113 :rule implies_elim :premises (@p111)) % 0.39/0.61 (step @p114 :rule eq_resolve :premises (@p113 @p108)) % 0.39/0.61 (step @p115 :rule chain_m_resolution :premises (@p114 @p105) :args (@t108 @t82 (@list @t101))) % 0.39/0.61 (step @p116 :rule bool-double-not-elim :args (@t105)) % 0.39/0.61 (step @p117 :rule refl :args (@t107)) % 0.39/0.61 (step @p118 :rule nary_cong :premises (@p117 @p116) :args ((or @t107 (not @t106)))) % 0.39/0.61 (step @p119 :rule cnf_or_neg :args (@t107 0)) % 0.39/0.61 (step @p120 :rule eq_resolve :premises (@p119 @p118)) % 0.39/0.61 (step @p121 :rule reordering :premises (@p120) :args ((or @t105 @t107))) % 0.39/0.61 (step @p122 :rule chain_m_resolution :premises (@p121 @p115) :args (@t105 @t82 (@list @t107))) % 0.39/0.61 (assume-push @p135 @t16) % 0.39/0.61 (step @p124 :rule instantiate :premises (@p6) :args ((@list @t104))) % 0.39/0.61 (step-pop @p136 :rule scope :premises (@p124)) % 0.39/0.61 (step @p125 :rule process_scope :premises (@p136) :args (@t106)) % 0.39/0.61 (step @p127 :rule implies_elim :premises (@p125)) % 0.39/0.61 (step @p128 false :rule chain_m_resolution :premises (@p127 @p122 @p6) :args (false @t87 (@list @t105 @t16))) % 0.39/0.61 ) % 0.39/0.61 % SZS output end Proof % 0.39/0.61 % cvc5 exiting %------------------------------------------------------------------------------