%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET658+3 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:48:23 AM UTC 2026 % Result : Theorem 0.39s 0.61s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET658+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:06:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.61 % SZS status Theorem % 0.39/0.61 % SZS output start Proof % 0.39/0.61 ( % 0.39/0.61 (declare-sort $$unsorted 0) % 0.39/0.61 (declare-const tptp.range (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.member_type (-> $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.relation_type (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.ilf_type (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.relation_like (-> $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.binary_relation_type $$unsorted) % 0.39/0.61 (declare-const tptp.set_type $$unsorted) % 0.39/0.61 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.subset_type (-> $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.domain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.39/0.61 (define @t1 () (@var "C" $$unsorted)) % 0.39/0.61 (define @t2 () (@var "B" $$unsorted)) % 0.39/0.61 (define @t3 () (tptp.ilf_type @t1 (tptp.relation_type @t2 (tptp.range_of @t1)))) % 0.39/0.61 (define @t4 () (tptp.subset (tptp.domain_of @t1) @t2)) % 0.39/0.61 (define @t5 () (=> @t4 @t3)) % 0.39/0.61 (define @t6 () (tptp.ilf_type @t1 tptp.binary_relation_type)) % 0.39/0.61 (define @t7 () (@list @t1)) % 0.39/0.61 (define @t8 () (forall @t7 (=> @t6 @t5))) % 0.39/0.61 (define @t9 () (tptp.ilf_type @t2 tptp.set_type)) % 0.39/0.61 (define @t10 () (=> @t9 @t8)) % 0.39/0.61 (define @t11 () (@list @t2)) % 0.39/0.61 (define @t12 () (forall @t11 @t10)) % 0.39/0.61 (define @t13 () (@var "D" $$unsorted)) % 0.39/0.61 (define @t14 () (tptp.ilf_type @t13 tptp.set_type)) % 0.39/0.61 (define @t15 () (@list @t13)) % 0.39/0.61 (define @t16 () (tptp.domain_of @t2)) % 0.39/0.61 (define @t17 () (tptp.ilf_type @t1 tptp.set_type)) % 0.39/0.61 (define @t18 () (tptp.ilf_type @t2 tptp.binary_relation_type)) % 0.39/0.61 (define @t19 () (tptp.ilf_type @t16 tptp.set_type)) % 0.39/0.61 (define @t20 () (forall @t11 (=> @t18 @t19))) % 0.39/0.61 (define @t21 () (tptp.range_of @t2)) % 0.39/0.61 (define @t22 () (tptp.relation_like @t2)) % 0.39/0.61 (define @t23 () (tptp.cross_product @t2 @t1)) % 0.39/0.61 (define @t24 () (tptp.subset_type @t23)) % 0.39/0.61 (define @t25 () (@var "E" $$unsorted)) % 0.39/0.61 (define @t26 () (tptp.relation_type @t2 @t1)) % 0.39/0.61 (define @t27 () (@list @t25)) % 0.39/0.61 (define @t28 () (tptp.ilf_type @t13 @t26)) % 0.39/0.61 (define @t29 () (tptp.ilf_type @t13 @t24)) % 0.39/0.61 (define @t30 () (tptp.power_set @t2)) % 0.39/0.61 (define @t31 () (tptp.subset_type @t2)) % 0.39/0.61 (define @t32 () (tptp.ilf_type @t1 @t31)) % 0.39/0.61 (define @t33 () (tptp.member @t13 @t1)) % 0.39/0.61 (define @t34 () (tptp.member @t13 @t2)) % 0.39/0.61 (define @t35 () (=> @t34 @t33)) % 0.39/0.61 (define @t36 () (forall @t15 (=> @t14 @t35))) % 0.39/0.61 (define @t37 () (tptp.subset @t2 @t1)) % 0.39/0.61 (define @t38 () (= @t37 @t36)) % 0.39/0.61 (define @t39 () (=> @t17 @t38)) % 0.39/0.61 (define @t40 () (forall @t7 @t39)) % 0.39/0.61 (define @t41 () (=> @t9 @t40)) % 0.39/0.61 (define @t42 () (forall @t11 @t41)) % 0.39/0.61 (define @t43 () (tptp.member @t1 @t2)) % 0.39/0.61 (define @t44 () (tptp.empty @t2)) % 0.39/0.61 (define @t45 () (tptp.domain @t2 @t1 @t13)) % 0.39/0.61 (define @t46 () (tptp.range @t2 @t1 @t13)) % 0.39/0.61 (define @t47 () (tptp.ilf_type @t2 (tptp.relation_type @t16 @t21))) % 0.39/0.61 (define @t48 () (forall @t11 (=> @t18 @t47))) % 0.39/0.61 (define @t49 () (not @t48)) % 0.39/0.61 (define @t50 () (@var "BOUND_VARIABLE_7924" $$unsorted)) % 0.39/0.61 (define @t51 () (not @t34)) % 0.39/0.61 (define @t52 () (not @t14)) % 0.39/0.61 (define @t53 () (= (tptp.subset @t2 @t50) (forall @t15 (or @t52 @t51 (tptp.member @t13 @t50))))) % 0.39/0.61 (define @t54 () (not (tptp.ilf_type @t50 tptp.set_type))) % 0.39/0.61 (define @t55 () (not @t9)) % 0.39/0.61 (define @t56 () (or @t55 @t54 @t53)) % 0.39/0.61 (define @t57 () (or @t54 @t53)) % 0.39/0.61 (define @t58 () (or @t55 @t57)) % 0.39/0.61 (define @t59 () (@list @t2 @t50)) % 0.39/0.61 (define @t60 () (forall @t59 @t58)) % 0.39/0.61 (define @t61 () (@list @t50)) % 0.39/0.61 (define @t62 () (forall @t61 @t58)) % 0.39/0.61 (define @t63 () (forall @t61 @t57)) % 0.39/0.61 (define @t64 () (@list @t1)) % 0.39/0.61 (define @t65 () (or @t55 @t63)) % 0.39/0.61 (define @t66 () (or @t52 @t51 @t33)) % 0.39/0.61 (define @t67 () (= @t37 (forall @t15 @t66))) % 0.39/0.61 (define @t68 () (forall @t7 (or (not @t17) @t67))) % 0.39/0.61 (define @t69 () (@var "BOUND_VARIABLE_7658" $$unsorted)) % 0.39/0.61 (define @t70 () (tptp.ilf_type @t69 (tptp.relation_type @t2 (tptp.range_of @t69)))) % 0.39/0.61 (define @t71 () (not (tptp.subset (tptp.domain_of @t69) @t2))) % 0.39/0.61 (define @t72 () (not (tptp.ilf_type @t69 tptp.binary_relation_type))) % 0.39/0.61 (define @t73 () (or @t72 @t71 @t70)) % 0.39/0.61 (define @t74 () (or @t55 @t73)) % 0.39/0.61 (define @t75 () (forall (@list @t2 @t69) @t74)) % 0.39/0.61 (define @t76 () (@list @t69)) % 0.39/0.61 (define @t77 () (forall @t76 @t74)) % 0.39/0.61 (define @t78 () (forall @t76 @t73)) % 0.39/0.61 (define @t79 () (or @t55 @t78)) % 0.39/0.61 (define @t80 () (not @t4)) % 0.39/0.61 (define @t81 () (not @t6)) % 0.39/0.61 (define @t82 () (or @t81 @t80 @t3)) % 0.39/0.61 (define @t83 () (forall @t7 @t82)) % 0.39/0.61 (define @t84 () (@quantifiers_skolemize (forall @t11 (or (not @t18) @t47)) 0)) % 0.39/0.61 (define @t85 () (tptp.domain_of @t84)) % 0.39/0.61 (define @t86 () (tptp.ilf_type @t84 tptp.binary_relation_type)) % 0.39/0.61 (define @t87 () (tptp.ilf_type @t84 (tptp.relation_type @t85 (tptp.range_of @t84)))) % 0.39/0.61 (define @t88 () (not @t86)) % 0.39/0.61 (define @t89 () (or @t88 @t87)) % 0.39/0.61 (define @t90 () (@list true)) % 0.39/0.61 (define @t91 () (@list @t89)) % 0.39/0.61 (define @t92 () (tptp.ilf_type @t85 tptp.set_type)) % 0.39/0.61 (define @t93 () (or @t88 @t92)) % 0.39/0.61 (define @t94 () (tptp.subset @t85 @t85)) % 0.39/0.61 (define @t95 () (not @t94)) % 0.39/0.61 (define @t96 () (not @t92)) % 0.39/0.61 (define @t97 () (or @t96 @t88 @t95 @t87)) % 0.39/0.61 (define @t98 () (or @t96 @t96 @t94)) % 0.39/0.61 (define @t99 () (not @t98)) % 0.39/0.61 (define @t100 () (tptp.member @t13 @t85)) % 0.39/0.61 (define @t101 () (forall @t15 (or @t52 (not @t100) @t100))) % 0.39/0.61 (define @t102 () (= @t94 @t101)) % 0.39/0.61 (define @t103 () (or @t96 @t96 @t102)) % 0.39/0.61 (define @t104 () (forall @t59 @t56)) % 0.39/0.61 (assume @p1 @t12) % 0.39/0.61 (assume @p2 (forall @t11 (=> @t18 (forall @t7 (=> @t17 (= (tptp.member @t1 @t16) (exists @t15 (and @t14 (tptp.member (tptp.ordered_pair @t1 @t13) @t2))))))))) % 0.39/0.61 (assume @p3 @t20) % 0.39/0.61 (assume @p4 (forall @t11 (=> @t18 (forall @t7 (=> @t17 (= (tptp.member @t1 @t21) (exists @t15 (and @t14 (tptp.member (tptp.ordered_pair @t13 @t1) @t2))))))))) % 0.39/0.61 (assume @p5 (forall @t11 (=> @t18 (tptp.ilf_type @t21 tptp.set_type)))) % 0.39/0.61 (assume @p6 (forall @t11 (=> @t9 (= @t18 (and @t22 @t9))))) % 0.39/0.61 (assume @p7 (exists @t11 @t18)) % 0.39/0.61 (assume @p8 (forall @t11 (=> @t9 (forall @t7 (=> @t17 (and (forall @t15 (=> @t29 @t28)) (forall @t27 (=> (tptp.ilf_type @t25 @t26) (tptp.ilf_type @t25 @t24))))))))) % 0.39/0.61 (assume @p9 (forall @t11 (=> @t9 (forall @t7 (=> @t17 (exists @t15 (tptp.ilf_type @t13 (tptp.relation_type @t1 @t2)))))))) % 0.39/0.61 (assume @p10 (forall @t11 (=> @t9 (forall @t7 (=> @t17 (tptp.ilf_type @t23 tptp.set_type)))))) % 0.39/0.61 (assume @p11 (forall @t11 (=> @t9 (forall @t7 (=> @t17 (tptp.ilf_type (tptp.ordered_pair @t2 @t1) tptp.set_type)))))) % 0.39/0.61 (assume @p12 (forall @t11 (=> @t9 (forall @t7 (=> @t17 (= @t32 (tptp.ilf_type @t1 (tptp.member_type @t30)))))))) % 0.39/0.61 (assume @p13 (forall @t11 (=> @t9 (exists @t7 @t32)))) % 0.39/0.61 (assume @p14 @t42) % 0.39/0.61 (assume @p15 (forall @t11 (=> @t9 (tptp.subset @t2 @t2)))) % 0.39/0.61 (assume @p16 (forall @t11 (=> @t9 (= @t22 (forall @t7 (=> @t17 (=> @t43 (exists @t15 (and @t14 (exists @t27 (and (tptp.ilf_type @t25 tptp.set_type) (= @t1 (tptp.ordered_pair @t13 @t25))))))))))))) % 0.39/0.61 (assume @p17 (forall @t11 (=> @t9 (forall @t7 (=> @t17 (forall @t15 (=> @t29 (tptp.relation_like @t13)))))))) % 0.39/0.61 (assume @p18 (forall @t11 (=> @t9 (forall @t7 (=> @t17 (= (tptp.member @t2 (tptp.power_set @t1)) @t36)))))) % 0.39/0.61 (assume @p19 (forall @t11 (=> @t9 (and (not (tptp.empty @t30)) (tptp.ilf_type @t30 tptp.set_type))))) % 0.39/0.61 (assume @p20 (forall @t11 (=> @t9 (forall @t7 (=> (and (not (tptp.empty @t1)) @t17) (= (tptp.ilf_type @t2 (tptp.member_type @t1)) (tptp.member @t2 @t1))))))) % 0.39/0.61 (assume @p21 (forall @t11 (=> (and (not @t44) @t9) (exists @t7 (tptp.ilf_type @t1 (tptp.member_type @t2)))))) % 0.39/0.61 (assume @p22 (forall @t11 (=> @t9 (= @t44 (forall @t7 (=> @t17 (not @t43))))))) % 0.39/0.61 (assume @p23 (forall @t11 (=> (and @t44 @t9) @t22))) % 0.39/0.61 (assume @p24 (forall @t11 (=> @t9 (forall @t7 (=> @t17 (forall @t15 (=> @t28 (= @t45 (tptp.domain_of @t13))))))))) % 0.39/0.61 (assume @p25 (forall @t11 (=> @t9 (forall @t7 (=> @t17 (forall @t15 (=> @t28 (tptp.ilf_type @t45 @t31)))))))) % 0.39/0.61 (assume @p26 (forall @t11 (=> @t9 (forall @t7 (=> @t17 (forall @t15 (=> @t28 (= @t46 (tptp.range_of @t13))))))))) % 0.39/0.61 (assume @p27 (forall @t11 (=> @t9 (forall @t7 (=> @t17 (forall @t15 (=> @t28 (tptp.ilf_type @t46 (tptp.subset_type @t1))))))))) % 0.39/0.61 (assume @p28 (forall @t11 @t9)) % 0.39/0.61 (assume @p29 @t49) % 0.39/0.61 (assume @p30 true) % 0.39/0.61 (step @p31 :rule aci_norm :args ((= @t58 @t56))) % 0.39/0.61 (step @p32 :rule cong :premises (@p31) :args (@t60)) % 0.39/0.61 (step @p33 :rule quant-merge-prenex :args ((= (forall @t11 @t62) @t60))) % 0.39/0.61 (step @p34 :rule alpha_equiv :args (@t63 (@list @t50) @t64)) % 0.39/0.61 (step @p35 :rule refl :args (@t55)) % 0.39/0.61 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t65)) % 0.39/0.61 (step @p37 :rule quant-miniscope-or :args ((= @t62 @t65))) % 0.39/0.61 (step @p38 :rule trans :premises (@p37 @p36)) % 0.39/0.61 (step @p39 :rule symm :premises (@p38)) % 0.39/0.61 (step @p40 :rule cong :premises (@p39) :args ((forall @t11 (or @t55 @t68)))) % 0.39/0.61 (step @p41 :rule trans :premises (@p40 @p33)) % 0.39/0.61 (step @p42 :rule trans :premises (@p41 @p32)) % 0.39/0.61 (step @p43 :rule bool-impl-elim :args (@t9 @t68)) % 0.39/0.61 (step @p44 :rule cong :premises (@p43) :args ((forall @t11 (=> @t9 @t68)))) % 0.39/0.61 (step @p45 :rule trans :premises (@p44 @p42)) % 0.39/0.61 (step @p46 :rule bool-impl-elim :args (@t17 @t67)) % 0.39/0.61 (step @p47 :rule cong :premises (@p46) :args ((forall @t7 (=> @t17 @t67)))) % 0.39/0.61 (step @p48 :rule aci_norm :args ((= (or @t52 (or @t51 @t33)) @t66))) % 0.39/0.61 (step @p49 :rule bool-impl-elim :args (@t34 @t33)) % 0.39/0.61 (step @p50 :rule refl :args (@t52)) % 0.39/0.61 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t52 @t35))) % 0.39/0.61 (step @p52 :rule trans :premises (@p51 @p48)) % 0.39/0.61 (step @p53 :rule bool-impl-elim :args (@t14 @t35)) % 0.39/0.61 (step @p54 :rule trans :premises (@p53 @p52)) % 0.39/0.61 (step @p55 :rule cong :premises (@p54) :args (@t36)) % 0.39/0.61 (step @p56 :rule refl :args (@t37)) % 0.39/0.61 (step @p57 :rule cong :premises (@p56 @p55) :args (@t38)) % 0.39/0.61 (step @p58 :rule refl :args (@t17)) % 0.39/0.61 (step @p59 :rule cong :premises (@p58 @p57) :args (@t39)) % 0.39/0.61 (step @p60 :rule cong :premises (@p59) :args (@t40)) % 0.39/0.61 (step @p61 :rule trans :premises (@p60 @p47)) % 0.39/0.61 (step @p62 :rule refl :args (@t9)) % 0.39/0.61 (step @p63 :rule cong :premises (@p62 @p61) :args (@t41)) % 0.39/0.61 (step @p64 :rule cong :premises (@p63) :args (@t42)) % 0.39/0.61 (step @p65 :rule trans :premises (@p64 @p45)) % 0.39/0.61 (step @p66 :rule eq_resolve :premises (@p14 @p65)) % 0.39/0.61 (step @p67 :rule aci_norm :args ((= @t74 (or @t55 @t72 @t71 @t70)))) % 0.39/0.61 (step @p68 :rule cong :premises (@p67) :args (@t75)) % 0.39/0.61 (step @p69 :rule quant-merge-prenex :args ((= (forall @t11 @t77) @t75))) % 0.39/0.61 (step @p70 :rule alpha_equiv :args (@t78 (@list @t69) @t64)) % 0.39/0.61 (step @p71 :rule nary_cong :premises (@p35 @p70) :args (@t79)) % 0.39/0.61 (step @p72 :rule quant-miniscope-or :args ((= @t77 @t79))) % 0.39/0.61 (step @p73 :rule trans :premises (@p72 @p71)) % 0.39/0.61 (step @p74 :rule symm :premises (@p73)) % 0.39/0.61 (step @p75 :rule cong :premises (@p74) :args ((forall @t11 (or @t55 @t83)))) % 0.39/0.61 (step @p76 :rule trans :premises (@p75 @p69)) % 0.39/0.61 (step @p77 :rule trans :premises (@p76 @p68)) % 0.39/0.61 (step @p78 :rule bool-impl-elim :args (@t9 @t83)) % 0.39/0.61 (step @p79 :rule cong :premises (@p78) :args ((forall @t11 (=> @t9 @t83)))) % 0.39/0.61 (step @p80 :rule trans :premises (@p79 @p77)) % 0.39/0.61 (step @p81 :rule aci_norm :args ((= (or @t81 (or @t80 @t3)) @t82))) % 0.39/0.61 (step @p82 :rule bool-impl-elim :args (@t4 @t3)) % 0.39/0.61 (step @p83 :rule refl :args (@t81)) % 0.39/0.61 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or @t81 @t5))) % 0.39/0.61 (step @p85 :rule trans :premises (@p84 @p81)) % 0.39/0.61 (step @p86 :rule bool-impl-elim :args (@t6 @t5)) % 0.39/0.61 (step @p87 :rule trans :premises (@p86 @p85)) % 0.39/0.61 (step @p88 :rule cong :premises (@p87) :args (@t8)) % 0.39/0.61 (step @p89 :rule cong :premises (@p62 @p88) :args (@t10)) % 0.39/0.61 (step @p90 :rule cong :premises (@p89) :args (@t12)) % 0.39/0.61 (step @p91 :rule trans :premises (@p90 @p80)) % 0.39/0.61 (step @p92 :rule eq_resolve :premises (@p1 @p91)) % 0.39/0.61 (step @p93 :rule instantiate :premises (@p92) :args ((@list @t85 @t84))) % 0.39/0.61 (step @p94 :rule bool-impl-elim :args (@t18 @t19)) % 0.39/0.61 (step @p95 :rule cong :premises (@p94) :args (@t20)) % 0.39/0.61 (step @p96 :rule eq_resolve :premises (@p3 @p95)) % 0.39/0.61 (step @p97 :rule instantiate :premises (@p96) :args ((@list @t84))) % 0.39/0.61 (step @p98 :rule bool-impl-elim :args (@t18 @t47)) % 0.39/0.61 (step @p99 :rule cong :premises (@p98) :args (@t48)) % 0.39/0.61 (step @p100 :rule cong :premises (@p99) :args (@t49)) % 0.39/0.61 (step @p101 :rule eq_resolve :premises (@p29 @p100)) % 0.39/0.61 (step @p102 :rule skolemize :premises (@p101)) % 0.39/0.61 (step @p103 :rule bool-double-not-elim :args (@t86)) % 0.39/0.61 (step @p104 :rule refl :args (@t89)) % 0.39/0.61 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t89 (not @t88)))) % 0.39/0.62 (step @p106 :rule cnf_or_neg :args (@t89 0)) % 0.39/0.62 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 0.39/0.62 (step @p108 :rule reordering :premises (@p107) :args ((or @t86 @t89))) % 0.39/0.62 (step @p109 :rule chain_m_resolution :premises (@p108 @p102) :args (@t86 @t90 @t91)) % 0.39/0.62 (step @p110 :rule cnf_or_pos :args (@t93)) % 0.39/0.62 (step @p111 :rule reordering :premises (@p110) :args ((or @t88 @t92 (not @t93)))) % 0.39/0.62 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p97) :args (@t92 (@list false false) (@list @t86 @t93))) % 0.39/0.62 (step @p113 :rule cnf_or_neg :args (@t89 1)) % 0.39/0.62 (step @p114 :rule chain_m_resolution :premises (@p113 @p102) :args ((not @t87) @t90 @t91)) % 0.39/0.62 (step @p115 :rule cnf_or_pos :args (@t97)) % 0.39/0.62 (step @p116 :rule reordering :premises (@p115) :args ((or @t88 @t87 @t96 @t95 (not @t97)))) % 0.39/0.62 (step @p117 :rule chain_m_resolution :premises (@p116 @p109 @p114 @p112 @p93) :args (@t95 (@list false true false false) (@list @t86 @t87 @t92 @t97))) % 0.39/0.62 (step @p118 :rule cnf_or_pos :args (@t98)) % 0.39/0.62 (step @p119 :rule factoring :premises (@p118)) % 0.39/0.62 (step @p120 :rule reordering :premises (@p119) :args ((or @t96 @t94 @t99))) % 0.39/0.62 (step @p121 :rule chain_m_resolution :premises (@p120 @p112 @p117) :args (@t99 (@list false true) (@list @t92 @t94))) % 0.39/0.62 (step @p122 :rule bool-eq-true :args (@t94)) % 0.39/0.62 (step @p123 :rule quant-unused-vars :args ((= (forall @t15 true) true))) % 0.39/0.62 (step @p124 :rule bool-or-taut2 :args ((or @t52) @t100 false false)) % 0.39/0.62 (step @p125 :rule cong :premises (@p124) :args (@t101)) % 0.39/0.62 (step @p126 :rule trans :premises (@p125 @p123)) % 0.39/0.62 (step @p127 :rule refl :args (@t94)) % 0.39/0.62 (step @p128 :rule cong :premises (@p127 @p126) :args (@t102)) % 0.39/0.62 (step @p129 :rule trans :premises (@p128 @p122)) % 0.39/0.62 (step @p130 :rule refl :args (@t96)) % 0.39/0.62 (step @p131 :rule nary_cong :premises (@p130 @p130 @p129) :args (@t103)) % 0.39/0.62 (step @p132 :rule refl :args (@t104)) % 0.39/0.62 (step @p133 :rule cong :premises (@p132 @p131) :args ((=> @t104 @t103))) % 0.39/0.62 (assume-push @p141 @t104) % 0.39/0.62 (step @p135 :rule instantiate :premises (@p66) :args ((@list @t85 @t85))) % 0.39/0.62 (step-pop @p142 :rule scope :premises (@p135)) % 0.39/0.62 (step @p136 :rule process_scope :premises (@p142) :args (@t103)) % 0.39/0.62 (step @p138 :rule eq_resolve :premises (@p136 @p133)) % 0.39/0.62 (step @p139 :rule implies_elim :premises (@p138)) % 0.39/0.62 (step @p140 false :rule chain_m_resolution :premises (@p139 @p121 @p66) :args (false (@list true false) (@list @t98 @t104))) % 0.39/0.62 ) % 0.39/0.62 % SZS output end Proof % 0.39/0.62 % cvc5 exiting %------------------------------------------------------------------------------