%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET809+4 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:48:41 AM UTC 2026 % Result : Theorem 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET809+4 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n015.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 16:13:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.58 % SZS status Theorem % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.strict_order (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.on $$unsorted) % 0.37/0.58 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.set (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.suc (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.initial_segment (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.empty_set $$unsorted) % 0.37/0.58 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.least (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.strict_well_order (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.member_predicate $$unsorted) % 0.37/0.58 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.58 (define @t2 () (@var "X" $$unsorted)) % 0.37/0.58 (define @t3 () (tptp.member @t2 @t1)) % 0.37/0.58 (define @t4 () (@var "A" $$unsorted)) % 0.37/0.58 (define @t5 () (tptp.member @t2 @t4)) % 0.37/0.58 (define @t6 () (@list @t2)) % 0.37/0.58 (define @t7 () (tptp.subset @t4 @t1)) % 0.37/0.58 (define @t8 () (@list @t4 @t1)) % 0.37/0.58 (define @t9 () (tptp.subset @t2 @t4)) % 0.37/0.58 (define @t10 () (@list @t2 @t4)) % 0.37/0.58 (define @t11 () (@list @t2 @t4 @t1)) % 0.37/0.58 (define @t12 () (@var "E" $$unsorted)) % 0.37/0.58 (define @t13 () (= @t2 @t4)) % 0.37/0.58 (define @t14 () (tptp.singleton @t4)) % 0.37/0.58 (define @t15 () (@var "Y" $$unsorted)) % 0.37/0.58 (define @t16 () (tptp.member @t2 @t15)) % 0.37/0.58 (define @t17 () (tptp.member @t15 @t4)) % 0.37/0.58 (define @t18 () (@list @t15)) % 0.37/0.58 (define @t19 () (forall @t6 (=> @t5 @t9))) % 0.37/0.58 (define @t20 () (tptp.strict_well_order tptp.member_predicate @t4)) % 0.37/0.58 (define @t21 () (tptp.set @t4)) % 0.37/0.58 (define @t22 () (and @t21 @t20 @t19)) % 0.37/0.58 (define @t23 () (tptp.member @t4 tptp.on)) % 0.37/0.58 (define @t24 () (= @t23 @t22)) % 0.37/0.58 (define @t25 () (@list @t4)) % 0.37/0.58 (define @t26 () (forall @t25 @t24)) % 0.37/0.58 (define @t27 () (@var "R" $$unsorted)) % 0.37/0.58 (define @t28 () (tptp.least @t15 @t27 @t4)) % 0.37/0.58 (define @t29 () (exists @t18 @t28)) % 0.37/0.58 (define @t30 () (exists @t6 @t5)) % 0.37/0.58 (define @t31 () (tptp.subset @t4 @t12)) % 0.37/0.58 (define @t32 () (and @t31 @t30)) % 0.37/0.58 (define @t33 () (=> @t32 @t29)) % 0.37/0.58 (define @t34 () (forall @t25 @t33)) % 0.37/0.58 (define @t35 () (tptp.strict_order @t27 @t12)) % 0.37/0.58 (define @t36 () (and @t35 @t34)) % 0.37/0.58 (define @t37 () (tptp.strict_well_order @t27 @t12)) % 0.37/0.58 (define @t38 () (= @t37 @t36)) % 0.37/0.58 (define @t39 () (@list @t27 @t12)) % 0.37/0.58 (define @t40 () (forall @t39 @t38)) % 0.37/0.58 (define @t41 () (@var "M" $$unsorted)) % 0.37/0.58 (define @t42 () (tptp.member @t2 @t12)) % 0.37/0.58 (define @t43 () (tptp.apply tptp.member_predicate @t2 @t15)) % 0.37/0.58 (define @t44 () (@list @t2 @t15)) % 0.37/0.58 (define @t45 () (forall @t44 (= @t43 @t16))) % 0.37/0.58 (define @t46 () (@var "Z" $$unsorted)) % 0.37/0.58 (define @t47 () (tptp.apply @t27 @t2 @t46)) % 0.37/0.58 (define @t48 () (tptp.apply @t27 @t15 @t46)) % 0.37/0.58 (define @t49 () (tptp.apply @t27 @t2 @t15)) % 0.37/0.58 (define @t50 () (and @t49 @t48)) % 0.37/0.58 (define @t51 () (=> @t50 @t47)) % 0.37/0.58 (define @t52 () (tptp.member @t46 @t12)) % 0.37/0.58 (define @t53 () (tptp.member @t15 @t12)) % 0.37/0.58 (define @t54 () (and @t42 @t53 @t52)) % 0.37/0.58 (define @t55 () (@list @t2 @t15 @t46)) % 0.37/0.58 (define @t56 () (forall @t55 (=> @t54 @t51))) % 0.37/0.58 (define @t57 () (tptp.apply @t27 @t15 @t2)) % 0.37/0.58 (define @t58 () (not (and @t49 @t57))) % 0.37/0.58 (define @t59 () (and @t42 @t53)) % 0.37/0.58 (define @t60 () (forall @t44 (=> @t59 @t58))) % 0.37/0.58 (define @t61 () (and @t60 @t56)) % 0.37/0.58 (define @t62 () (= @t35 @t61)) % 0.37/0.58 (define @t63 () (forall @t39 @t62)) % 0.37/0.58 (define @t64 () (not (tptp.member @t4 @t4))) % 0.37/0.58 (define @t65 () (forall @t25 (=> @t23 @t64))) % 0.37/0.58 (define @t66 () (not @t65)) % 0.37/0.58 (define @t67 () (not @t48)) % 0.37/0.58 (define @t68 () (not @t49)) % 0.37/0.58 (define @t69 () (not @t52)) % 0.37/0.58 (define @t70 () (not @t53)) % 0.37/0.58 (define @t71 () (not @t42)) % 0.37/0.58 (define @t72 () (or @t68 @t67 @t47)) % 0.37/0.58 (define @t73 () (or @t71 @t70 @t69)) % 0.37/0.58 (define @t74 () (not @t57)) % 0.37/0.58 (define @t75 () (@quantifiers_skolemize (forall @t25 (or (not @t23) @t64)) 0)) % 0.37/0.58 (define @t76 () (@list tptp.member_predicate @t75)) % 0.37/0.58 (define @t77 () (not (forall @t18 (not @t28)))) % 0.37/0.58 (define @t78 () (@var "BOUND_VARIABLE_7644" $$unsorted)) % 0.37/0.58 (define @t79 () (not (tptp.member @t78 @t4))) % 0.37/0.58 (define @t80 () (not @t31)) % 0.37/0.58 (define @t81 () (or @t80 @t79 @t77)) % 0.37/0.58 (define @t82 () (@list @t4 @t78)) % 0.37/0.58 (define @t83 () (@list @t78)) % 0.37/0.58 (define @t84 () (forall @t83 @t81)) % 0.37/0.58 (define @t85 () (forall @t83 @t79)) % 0.37/0.58 (define @t86 () (or @t80 @t85 @t77)) % 0.37/0.58 (define @t87 () (forall @t6 (not @t5))) % 0.37/0.58 (define @t88 () (or @t80 @t87 @t77)) % 0.37/0.58 (define @t89 () (not @t87)) % 0.37/0.58 (define @t90 () (and @t31 @t89)) % 0.37/0.58 (define @t91 () (tptp.member @t75 tptp.on)) % 0.37/0.58 (define @t92 () (tptp.member @t75 @t75)) % 0.37/0.58 (define @t93 () (not @t92)) % 0.37/0.58 (define @t94 () (not @t91)) % 0.37/0.58 (define @t95 () (or @t94 @t93)) % 0.37/0.58 (define @t96 () (@list true)) % 0.37/0.58 (define @t97 () (@list @t95)) % 0.37/0.58 (define @t98 () (not (tptp.member @t2 @t75))) % 0.37/0.58 (define @t99 () (tptp.strict_well_order tptp.member_predicate @t75)) % 0.37/0.58 (define @t100 () (and (tptp.set @t75) @t99 (forall @t6 (or @t98 (tptp.subset @t2 @t75))))) % 0.37/0.58 (define @t101 () (= @t91 @t100)) % 0.37/0.58 (define @t102 () (@list false false)) % 0.37/0.58 (define @t103 () (@list false)) % 0.37/0.58 (define @t104 () (tptp.strict_order tptp.member_predicate @t75)) % 0.37/0.58 (define @t105 () (and @t104 (forall @t82 (or (not (tptp.subset @t4 @t75)) @t79 (not (forall @t18 (not (tptp.least @t15 tptp.member_predicate @t4)))))))) % 0.37/0.58 (define @t106 () (= @t99 @t105)) % 0.37/0.58 (define @t107 () (not @t43)) % 0.37/0.58 (define @t108 () (not (tptp.member @t15 @t75))) % 0.37/0.58 (define @t109 () (forall @t44 (or @t98 @t108 @t107 (not (tptp.apply tptp.member_predicate @t15 @t2))))) % 0.37/0.58 (define @t110 () (and @t109 (forall @t55 (or @t98 @t108 (not (tptp.member @t46 @t75)) @t107 (not (tptp.apply tptp.member_predicate @t15 @t46)) (tptp.apply tptp.member_predicate @t2 @t46))))) % 0.37/0.58 (define @t111 () (= @t104 @t110)) % 0.37/0.58 (define @t112 () (@list @t75 @t75)) % 0.37/0.58 (define @t113 () (tptp.apply tptp.member_predicate @t75 @t75)) % 0.37/0.58 (define @t114 () (= @t92 @t113)) % 0.37/0.58 (define @t115 () (not @t113)) % 0.37/0.58 (define @t116 () (or @t93 @t93 @t115 @t115)) % 0.37/0.58 (define @t117 () (not @t116)) % 0.37/0.58 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 0.37/0.58 (assume @p2 (forall @t8 (= (tptp.equal_set @t4 @t1) (and @t7 (tptp.subset @t1 @t4))))) % 0.37/0.58 (assume @p3 (forall @t10 (= (tptp.member @t2 (tptp.power_set @t4)) @t9))) % 0.37/0.58 (assume @p4 (forall @t11 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.37/0.58 (assume @p5 (forall @t11 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.37/0.58 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.37/0.58 (assume @p7 (forall (@list @t1 @t4 @t12) (= (tptp.member @t1 (tptp.difference @t12 @t4)) (and (tptp.member @t1 @t12) (not (tptp.member @t1 @t4)))))) % 0.37/0.58 (assume @p8 (forall @t10 (= (tptp.member @t2 @t14) @t13))) % 0.37/0.58 (assume @p9 (forall @t11 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t13 (= @t2 @t1))))) % 0.37/0.58 (assume @p10 (forall @t10 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t18 (and @t17 @t16))))) % 0.37/0.58 (assume @p11 (forall @t10 (= (tptp.member @t2 (tptp.product @t4)) (forall @t18 (=> @t17 @t16))))) % 0.37/0.58 (assume @p12 @t26) % 0.37/0.58 (assume @p13 @t40) % 0.37/0.58 (assume @p14 (forall (@list @t27 @t12 @t41) (= (tptp.least @t41 @t27 @t12) (and (tptp.member @t41 @t12) (forall @t6 (=> @t42 (or (= @t41 @t2) (tptp.apply @t27 @t41 @t2)))))))) % 0.37/0.58 (assume @p15 @t45) % 0.37/0.58 (assume @p16 @t63) % 0.37/0.58 (assume @p17 (forall @t6 (=> (tptp.set @t2) (forall @t18 (=> (tptp.member @t15 @t2) (tptp.set @t15)))))) % 0.37/0.58 (assume @p18 (forall (@list @t2 @t27 @t4 @t15) (= (tptp.member @t15 (tptp.initial_segment @t2 @t27 @t4)) (and @t17 @t57)))) % 0.37/0.58 (assume @p19 (forall (@list @t4 @t2) (= (tptp.member @t2 (tptp.suc @t4)) (tptp.member @t2 (tptp.union @t4 @t14))))) % 0.37/0.58 (assume @p20 @t66) % 0.37/0.58 (assume @p21 true) % 0.37/0.58 (step @p22 :rule aci_norm :args ((= (or @t73 @t72) (or @t71 @t70 @t69 @t68 @t67 @t47)))) % 0.37/0.58 (step @p23 :rule aci_norm :args ((= (or (or @t68 @t67) @t47) @t72))) % 0.37/0.58 (step @p24 :rule refl :args (@t47)) % 0.37/0.58 (step @p25 :rule bool-and-de-morgan :args (@t49 @t48 true)) % 0.37/0.58 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or (not @t50) @t47))) % 0.37/0.58 (step @p27 :rule trans :premises (@p26 @p23)) % 0.37/0.58 (step @p28 :rule bool-impl-elim :args (@t50 @t47)) % 0.37/0.58 (step @p29 :rule trans :premises (@p28 @p27)) % 0.37/0.58 (step @p30 :rule aci_norm :args ((= (or @t71 (or @t70 @t69)) @t73))) % 0.37/0.58 (step @p31 :rule bool-and-de-morgan :args (@t53 @t52 true)) % 0.37/0.58 (step @p32 :rule refl :args (@t71)) % 0.37/0.58 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t71 (not (and @t53 @t52))))) % 0.37/0.58 (step @p34 :rule bool-and-de-morgan :args (@t42 @t53 (and @t52))) % 0.37/0.58 (step @p35 :rule trans :premises (@p34 @p33)) % 0.37/0.58 (step @p36 :rule trans :premises (@p35 @p30)) % 0.37/0.58 (step @p37 :rule nary_cong :premises (@p36 @p29) :args ((or (not @t54) @t51))) % 0.37/0.58 (step @p38 :rule trans :premises (@p37 @p22)) % 0.37/0.58 (step @p39 :rule bool-impl-elim :args (@t54 @t51)) % 0.37/0.58 (step @p40 :rule trans :premises (@p39 @p38)) % 0.37/0.58 (step @p41 :rule cong :premises (@p40) :args (@t56)) % 0.37/0.58 (step @p42 :rule aci_norm :args ((= (or (or @t71 @t70) (or @t68 @t74)) (or @t71 @t70 @t68 @t74)))) % 0.37/0.58 (step @p43 :rule bool-and-de-morgan :args (@t49 @t57 true)) % 0.37/0.58 (step @p44 :rule bool-and-de-morgan :args (@t42 @t53 true)) % 0.37/0.58 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or (not @t59) @t58))) % 0.37/0.58 (step @p46 :rule trans :premises (@p45 @p42)) % 0.37/0.58 (step @p47 :rule bool-impl-elim :args (@t59 @t58)) % 0.37/0.58 (step @p48 :rule trans :premises (@p47 @p46)) % 0.37/0.58 (step @p49 :rule cong :premises (@p48) :args (@t60)) % 0.37/0.58 (step @p50 :rule nary_cong :premises (@p49 @p41) :args (@t61)) % 0.37/0.58 (step @p51 :rule refl :args (@t35)) % 0.37/0.58 (step @p52 :rule cong :premises (@p51 @p50) :args (@t62)) % 0.37/0.58 (step @p53 :rule cong :premises (@p52) :args (@t63)) % 0.37/0.58 (step @p54 :rule eq_resolve :premises (@p16 @p53)) % 0.37/0.58 (step @p55 :rule instantiate :premises (@p54) :args (@t76)) % 0.37/0.58 (step @p56 :rule quant-merge-prenex :args ((= (forall @t25 @t84) (forall @t82 @t81)))) % 0.37/0.58 (step @p57 :rule refl :args (@t77)) % 0.37/0.58 (step @p58 :rule alpha_equiv :args (@t85 (@list @t78) (@list @t2))) % 0.37/0.58 (step @p59 :rule refl :args (@t80)) % 0.37/0.58 (step @p60 :rule nary_cong :premises (@p59 @p58 @p57) :args (@t86)) % 0.37/0.58 (step @p61 :rule quant-miniscope-or :args ((= @t84 @t86))) % 0.37/0.58 (step @p62 :rule trans :premises (@p61 @p60)) % 0.37/0.58 (step @p63 :rule symm :premises (@p62)) % 0.37/0.58 (step @p64 :rule cong :premises (@p63) :args ((forall @t25 @t88))) % 0.37/0.58 (step @p65 :rule trans :premises (@p64 @p56)) % 0.37/0.58 (step @p66 :rule aci_norm :args ((= (or (or @t80 @t87) @t77) @t88))) % 0.37/0.58 (step @p67 :rule bool-double-not-elim :args (@t87)) % 0.37/0.58 (step @p68 :rule nary_cong :premises (@p59 @p67) :args ((or @t80 (not @t89)))) % 0.37/0.58 (step @p69 :rule bool-and-de-morgan :args (@t31 @t89 true)) % 0.37/0.58 (step @p70 :rule trans :premises (@p69 @p68)) % 0.37/0.58 (step @p71 :rule nary_cong :premises (@p70 @p57) :args ((or (not @t90) @t77))) % 0.37/0.58 (step @p72 :rule trans :premises (@p71 @p66)) % 0.37/0.58 (step @p73 :rule bool-impl-elim :args (@t90 @t77)) % 0.37/0.58 (step @p74 :rule trans :premises (@p73 @p72)) % 0.37/0.58 (step @p75 :rule cong :premises (@p74) :args ((forall @t25 (=> @t90 @t77)))) % 0.37/0.58 (step @p76 :rule trans :premises (@p75 @p65)) % 0.37/0.58 (step @p77 :rule exists-elim :args ((= @t29 @t77))) % 0.37/0.58 (step @p78 :rule exists-elim :args ((= @t30 @t89))) % 0.37/0.58 (step @p79 :rule refl :args (@t31)) % 0.37/0.58 (step @p80 :rule nary_cong :premises (@p79 @p78) :args (@t32)) % 0.37/0.58 (step @p81 :rule cong :premises (@p80 @p77) :args (@t33)) % 0.37/0.58 (step @p82 :rule cong :premises (@p81) :args (@t34)) % 0.37/0.58 (step @p83 :rule trans :premises (@p82 @p76)) % 0.37/0.58 (step @p84 :rule nary_cong :premises (@p51 @p83) :args (@t36)) % 0.37/0.58 (step @p85 :rule refl :args (@t37)) % 0.37/0.58 (step @p86 :rule cong :premises (@p85 @p84) :args (@t38)) % 0.37/0.58 (step @p87 :rule cong :premises (@p86) :args (@t40)) % 0.37/0.58 (step @p88 :rule eq_resolve :premises (@p13 @p87)) % 0.37/0.58 (step @p89 :rule instantiate :premises (@p88) :args (@t76)) % 0.37/0.58 (step @p90 :rule bool-impl-elim :args (@t5 @t9)) % 0.37/0.58 (step @p91 :rule cong :premises (@p90) :args (@t19)) % 0.37/0.58 (step @p92 :rule refl :args (@t20)) % 0.37/0.58 (step @p93 :rule refl :args (@t21)) % 0.37/0.58 (step @p94 :rule nary_cong :premises (@p93 @p92 @p91) :args (@t22)) % 0.37/0.58 (step @p95 :rule refl :args (@t23)) % 0.37/0.58 (step @p96 :rule cong :premises (@p95 @p94) :args (@t24)) % 0.37/0.58 (step @p97 :rule cong :premises (@p96) :args (@t26)) % 0.37/0.58 (step @p98 :rule eq_resolve :premises (@p12 @p97)) % 0.37/0.58 (step @p99 :rule instantiate :premises (@p98) :args ((@list @t75))) % 0.37/0.58 (step @p100 :rule bool-impl-elim :args (@t23 @t64)) % 0.37/0.58 (step @p101 :rule cong :premises (@p100) :args (@t65)) % 0.37/0.58 (step @p102 :rule cong :premises (@p101) :args (@t66)) % 0.37/0.58 (step @p103 :rule eq_resolve :premises (@p20 @p102)) % 0.37/0.58 (step @p104 :rule skolemize :premises (@p103)) % 0.37/0.58 (step @p105 :rule bool-double-not-elim :args (@t91)) % 0.37/0.58 (step @p106 :rule refl :args (@t95)) % 0.37/0.58 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or @t95 (not @t94)))) % 0.37/0.58 (step @p108 :rule cnf_or_neg :args (@t95 0)) % 0.37/0.58 (step @p109 :rule eq_resolve :premises (@p108 @p107)) % 0.37/0.58 (step @p110 :rule reordering :premises (@p109) :args ((or @t91 @t95))) % 0.37/0.58 (step @p111 :rule chain_m_resolution :premises (@p110 @p104) :args (@t91 @t96 @t97)) % 0.37/0.58 (step @p112 :rule cnf_equiv_pos1 :args (@t101)) % 0.37/0.58 (step @p113 :rule reordering :premises (@p112) :args ((or @t94 @t100 (not @t101)))) % 0.37/0.58 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p99) :args (@t100 @t102 (@list @t91 @t101))) % 0.37/0.58 (step @p115 :rule cnf_and_pos :args (@t100 1)) % 0.37/0.58 (step @p116 :rule reordering :premises (@p115) :args ((or @t99 (not @t100)))) % 0.37/0.58 (step @p117 :rule chain_m_resolution :premises (@p116 @p114) :args (@t99 @t103 (@list @t100))) % 0.37/0.58 (step @p118 :rule cnf_equiv_pos1 :args (@t106)) % 0.37/0.58 (step @p119 :rule reordering :premises (@p118) :args ((or (not @t99) @t105 (not @t106)))) % 0.37/0.58 (step @p120 :rule chain_m_resolution :premises (@p119 @p117 @p89) :args (@t105 @t102 (@list @t99 @t106))) % 0.37/0.58 (step @p121 :rule cnf_and_pos :args (@t105 0)) % 0.37/0.58 (step @p122 :rule reordering :premises (@p121) :args ((or @t104 (not @t105)))) % 0.37/0.58 (step @p123 :rule chain_m_resolution :premises (@p122 @p120) :args (@t104 @t103 (@list @t105))) % 0.37/0.58 (step @p124 :rule cnf_equiv_pos1 :args (@t111)) % 0.37/0.58 (step @p125 :rule reordering :premises (@p124) :args ((or (not @t104) @t110 (not @t111)))) % 0.37/0.58 (step @p126 :rule chain_m_resolution :premises (@p125 @p123 @p55) :args (@t110 @t102 (@list @t104 @t111))) % 0.37/0.58 (step @p127 :rule cnf_and_pos :args (@t110 0)) % 0.37/0.58 (step @p128 :rule reordering :premises (@p127) :args ((or @t109 (not @t110)))) % 0.37/0.58 (step @p129 :rule chain_m_resolution :premises (@p128 @p126) :args (@t109 @t103 (@list @t110))) % 0.37/0.58 (step @p130 :rule eq-symm :args (@t43 @t16)) % 0.37/0.58 (step @p131 :rule cong :premises (@p130) :args (@t45)) % 0.37/0.58 (step @p132 :rule eq_resolve :premises (@p15 @p131)) % 0.37/0.58 (step @p133 :rule instantiate :premises (@p132) :args (@t112)) % 0.37/0.58 (step @p134 :rule bool-double-not-elim :args (@t92)) % 0.37/0.58 (step @p135 :rule nary_cong :premises (@p106 @p134) :args ((or @t95 (not @t93)))) % 0.37/0.58 (step @p136 :rule cnf_or_neg :args (@t95 1)) % 0.37/0.58 (step @p137 :rule eq_resolve :premises (@p136 @p135)) % 0.37/0.58 (step @p138 :rule reordering :premises (@p137) :args ((or @t92 @t95))) % 0.37/0.58 (step @p139 :rule chain_m_resolution :premises (@p138 @p104) :args (@t92 @t96 @t97)) % 0.37/0.58 (step @p140 :rule cnf_equiv_pos1 :args (@t114)) % 0.37/0.58 (step @p141 :rule reordering :premises (@p140) :args ((or @t93 @t113 (not @t114)))) % 0.37/0.58 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p133) :args (@t113 @t102 (@list @t92 @t114))) % 0.37/0.58 (step @p143 :rule cnf_or_pos :args (@t116)) % 0.37/0.58 (step @p144 :rule factoring :premises (@p143)) % 0.37/0.58 (step @p145 :rule reordering :premises (@p144) :args ((or @t93 @t115 @t117))) % 0.37/0.58 (step @p146 :rule chain_m_resolution :premises (@p145 @p139 @p142) :args (@t117 @t102 (@list @t92 @t113))) % 0.37/0.58 (assume-push @p153 @t109) % 0.37/0.58 (step @p148 :rule instantiate :premises (@p129) :args (@t112)) % 0.37/0.58 (step-pop @p154 :rule scope :premises (@p148)) % 0.37/0.58 (step @p149 :rule process_scope :premises (@p154) :args (@t116)) % 0.37/0.58 (step @p151 :rule implies_elim :premises (@p149)) % 0.37/0.58 (step @p152 false :rule chain_m_resolution :premises (@p151 @p146 @p129) :args (false (@list true false) (@list @t116 @t109))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------