%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET156+4 : 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 : n029.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 08:47:31 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SET156+4 : TPTP v9.2.1. Released v2.2.0. % 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n029.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 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 15:04:47 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.empty_set $$unsorted) % 0.37/0.57 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.57 (define @t2 () (@var "X" $$unsorted)) % 0.37/0.57 (define @t3 () (tptp.member @t2 @t1)) % 0.37/0.57 (define @t4 () (@var "A" $$unsorted)) % 0.37/0.57 (define @t5 () (tptp.member @t2 @t4)) % 0.37/0.57 (define @t6 () (@list @t2)) % 0.37/0.57 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.37/0.57 (define @t8 () (tptp.subset @t4 @t1)) % 0.37/0.57 (define @t9 () (= @t8 @t7)) % 0.37/0.57 (define @t10 () (@list @t4 @t1)) % 0.37/0.57 (define @t11 () (forall @t10 @t9)) % 0.37/0.57 (define @t12 () (@list @t2 @t4)) % 0.37/0.57 (define @t13 () (tptp.intersection @t4 @t1)) % 0.37/0.57 (define @t14 () (@list @t2 @t4 @t1)) % 0.37/0.57 (define @t15 () (@var "E" $$unsorted)) % 0.37/0.57 (define @t16 () (tptp.difference @t15 @t4)) % 0.37/0.57 (define @t17 () (= @t2 @t4)) % 0.37/0.57 (define @t18 () (@var "Y" $$unsorted)) % 0.37/0.57 (define @t19 () (tptp.member @t2 @t18)) % 0.37/0.57 (define @t20 () (tptp.member @t18 @t4)) % 0.37/0.57 (define @t21 () (@list @t18)) % 0.37/0.57 (define @t22 () (tptp.equal_set (tptp.difference @t15 @t13) (tptp.union @t16 (tptp.difference @t15 @t1)))) % 0.37/0.57 (define @t23 () (tptp.subset @t1 @t15)) % 0.37/0.57 (define @t24 () (tptp.subset @t4 @t15)) % 0.37/0.57 (define @t25 () (and @t24 @t23)) % 0.37/0.57 (define @t26 () (@list @t4 @t1 @t15)) % 0.37/0.57 (define @t27 () (forall @t26 (=> @t25 @t22))) % 0.37/0.57 (define @t28 () (not @t27)) % 0.37/0.57 (define @t29 () (not @t23)) % 0.37/0.57 (define @t30 () (not @t24)) % 0.37/0.57 (define @t31 () (or @t30 @t29 @t22)) % 0.37/0.57 (define @t32 () (forall @t26 @t31)) % 0.37/0.57 (define @t33 () (@quantifiers_skolemize @t32 1)) % 0.37/0.57 (define @t34 () (@quantifiers_skolemize @t32 2)) % 0.37/0.57 (define @t35 () (tptp.difference @t34 @t33)) % 0.37/0.57 (define @t36 () (@quantifiers_skolemize @t32 0)) % 0.37/0.57 (define @t37 () (tptp.difference @t34 @t36)) % 0.37/0.57 (define @t38 () (tptp.union @t37 @t35)) % 0.37/0.57 (define @t39 () (tptp.member @t2 @t38)) % 0.37/0.57 (define @t40 () (tptp.intersection @t36 @t33)) % 0.37/0.57 (define @t41 () (tptp.difference @t34 @t40)) % 0.37/0.57 (define @t42 () (tptp.member @t2 @t41)) % 0.37/0.57 (define @t43 () (forall @t6 (or (not @t42) @t39))) % 0.37/0.57 (define @t44 () (@quantifiers_skolemize @t43 0)) % 0.37/0.57 (define @t45 () (@list @t41 @t38)) % 0.37/0.57 (define @t46 () (forall @t6 (or (not @t39) @t42))) % 0.37/0.57 (define @t47 () (@quantifiers_skolemize @t46 0)) % 0.37/0.57 (define @t48 () (tptp.member @t47 @t38)) % 0.37/0.57 (define @t49 () (tptp.member @t47 @t41)) % 0.37/0.57 (define @t50 () (not @t48)) % 0.37/0.57 (define @t51 () (or @t50 @t49)) % 0.37/0.57 (define @t52 () (tptp.member @t47 @t35)) % 0.37/0.57 (define @t53 () (tptp.member @t47 @t37)) % 0.37/0.57 (define @t54 () (or @t53 @t52)) % 0.37/0.57 (define @t55 () (= @t48 @t54)) % 0.37/0.57 (define @t56 () (tptp.member @t47 @t40)) % 0.37/0.57 (define @t57 () (not @t56)) % 0.37/0.57 (define @t58 () (tptp.member @t47 @t34)) % 0.37/0.57 (define @t59 () (and @t58 @t57)) % 0.37/0.57 (define @t60 () (= @t49 @t59)) % 0.37/0.57 (define @t61 () (tptp.member @t47 @t36)) % 0.37/0.57 (define @t62 () (not @t61)) % 0.37/0.57 (define @t63 () (and @t58 @t62)) % 0.37/0.57 (define @t64 () (not @t63)) % 0.37/0.57 (define @t65 () (tptp.member @t47 @t33)) % 0.37/0.57 (define @t66 () (not @t65)) % 0.37/0.57 (define @t67 () (and @t58 @t66)) % 0.37/0.57 (define @t68 () (not @t67)) % 0.37/0.57 (define @t69 () (= @t53 @t63)) % 0.37/0.57 (define @t70 () (= @t52 @t67)) % 0.37/0.57 (define @t71 () (not @t54)) % 0.37/0.57 (define @t72 () (not @t58)) % 0.37/0.57 (define @t73 () (and @t61 @t65)) % 0.37/0.57 (define @t74 () (= @t56 @t73)) % 0.37/0.57 (define @t75 () (not @t73)) % 0.37/0.57 (define @t76 () (not @t51)) % 0.37/0.57 (define @t77 () (not @t46)) % 0.37/0.57 (define @t78 () (tptp.subset @t38 @t41)) % 0.37/0.57 (define @t79 () (= @t78 @t46)) % 0.37/0.57 (define @t80 () (@list false false)) % 0.37/0.57 (define @t81 () (tptp.equal_set @t41 @t38)) % 0.37/0.57 (define @t82 () (or (not (tptp.subset @t36 @t34)) (not (tptp.subset @t33 @t34)) @t81)) % 0.37/0.57 (define @t83 () (@list true)) % 0.37/0.57 (define @t84 () (tptp.subset @t41 @t38)) % 0.37/0.57 (define @t85 () (and @t84 @t78)) % 0.37/0.57 (define @t86 () (= @t81 @t85)) % 0.37/0.57 (define @t87 () (not @t85)) % 0.37/0.57 (define @t88 () (@list true false)) % 0.37/0.57 (define @t89 () (= @t84 @t43)) % 0.37/0.57 (define @t90 () (not @t43)) % 0.37/0.57 (define @t91 () (tptp.member @t44 @t38)) % 0.37/0.57 (define @t92 () (tptp.member @t44 @t41)) % 0.37/0.57 (define @t93 () (not @t92)) % 0.37/0.57 (define @t94 () (or @t93 @t91)) % 0.37/0.57 (define @t95 () (not @t94)) % 0.37/0.57 (define @t96 () (@list @t94)) % 0.37/0.57 (define @t97 () (tptp.member @t44 @t35)) % 0.37/0.57 (define @t98 () (tptp.member @t44 @t37)) % 0.37/0.57 (define @t99 () (or @t98 @t97)) % 0.37/0.57 (define @t100 () (= @t91 @t99)) % 0.37/0.57 (define @t101 () (not @t99)) % 0.37/0.57 (define @t102 () (tptp.member @t44 @t40)) % 0.37/0.57 (define @t103 () (not @t102)) % 0.37/0.57 (define @t104 () (tptp.member @t44 @t34)) % 0.37/0.57 (define @t105 () (and @t104 @t103)) % 0.37/0.57 (define @t106 () (= @t92 @t105)) % 0.37/0.57 (define @t107 () (not @t105)) % 0.37/0.57 (define @t108 () (tptp.member @t44 @t36)) % 0.37/0.57 (define @t109 () (not @t104)) % 0.37/0.57 (define @t110 () (not @t108)) % 0.37/0.57 (define @t111 () (and @t104 @t110)) % 0.37/0.57 (define @t112 () (tptp.member @t44 @t33)) % 0.37/0.57 (define @t113 () (and @t108 @t112)) % 0.37/0.57 (define @t114 () (= @t102 @t113)) % 0.37/0.57 (define @t115 () (not @t112)) % 0.37/0.57 (define @t116 () (and @t104 @t115)) % 0.37/0.57 (define @t117 () (= @t97 @t116)) % 0.37/0.57 (define @t118 () (= @t98 @t111)) % 0.37/0.57 (assume @p1 @t11) % 0.37/0.57 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.37/0.57 (assume @p3 (forall @t12 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.37/0.57 (assume @p4 (forall @t14 (= (tptp.member @t2 @t13) (and @t5 @t3)))) % 0.37/0.57 (assume @p5 (forall @t14 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.37/0.57 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.37/0.57 (assume @p7 (forall (@list @t1 @t4 @t15) (= (tptp.member @t1 @t16) (and (tptp.member @t1 @t15) (not (tptp.member @t1 @t4)))))) % 0.37/0.57 (assume @p8 (forall @t12 (= (tptp.member @t2 (tptp.singleton @t4)) @t17))) % 0.37/0.57 (assume @p9 (forall @t14 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t17 (= @t2 @t1))))) % 0.37/0.57 (assume @p10 (forall @t12 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t21 (and @t20 @t19))))) % 0.37/0.57 (assume @p11 (forall @t12 (= (tptp.member @t2 (tptp.product @t4)) (forall @t21 (=> @t20 @t19))))) % 0.37/0.57 (assume @p12 @t28) % 0.37/0.57 (assume @p13 true) % 0.37/0.57 (step @p14 :rule instantiate :premises (@p5) :args ((@list @t44 @t37 @t35))) % 0.37/0.57 (step @p15 :rule bool-impl-elim :args (@t5 @t3)) % 0.37/0.57 (step @p16 :rule cong :premises (@p15) :args (@t7)) % 0.37/0.57 (step @p17 :rule refl :args (@t8)) % 0.37/0.57 (step @p18 :rule cong :premises (@p17 @p16) :args (@t9)) % 0.37/0.57 (step @p19 :rule cong :premises (@p18) :args (@t11)) % 0.37/0.57 (step @p20 :rule eq_resolve :premises (@p1 @p19)) % 0.37/0.57 (step @p21 :rule instantiate :premises (@p20) :args (@t45)) % 0.37/0.57 (step @p22 :rule instantiate :premises (@p20) :args ((@list @t38 @t41))) % 0.37/0.57 (step @p23 :rule bool-double-not-elim :args (@t48)) % 0.37/0.57 (step @p24 :rule refl :args (@t51)) % 0.37/0.57 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or @t51 (not @t50)))) % 0.37/0.57 (step @p26 :rule cnf_or_neg :args (@t51 0)) % 0.37/0.57 (step @p27 :rule eq_resolve :premises (@p26 @p25)) % 0.37/0.57 (step @p28 :rule reordering :premises (@p27) :args ((or @t48 @t51))) % 0.37/0.57 (step @p29 :rule cnf_or_neg :args (@t51 1)) % 0.37/0.57 (step @p30 :rule instantiate :premises (@p5) :args ((@list @t47 @t37 @t35))) % 0.37/0.57 (step @p31 :rule cnf_equiv_pos1 :args (@t55)) % 0.37/0.57 (step @p32 :rule reordering :premises (@p31) :args ((or @t50 @t54 (not @t55)))) % 0.37/0.57 (step @p33 :rule instantiate :premises (@p7) :args ((@list @t47 @t40 @t34))) % 0.37/0.57 (step @p34 :rule cnf_equiv_pos2 :args (@t60)) % 0.37/0.57 (step @p35 :rule reordering :premises (@p34) :args ((or @t49 (not @t59) (not @t60)))) % 0.37/0.57 (step @p36 :rule cnf_and_pos :args (@t63 0)) % 0.37/0.57 (step @p37 :rule reordering :premises (@p36) :args ((or @t58 @t64))) % 0.37/0.57 (step @p38 :rule cnf_and_pos :args (@t67 0)) % 0.37/0.57 (step @p39 :rule reordering :premises (@p38) :args ((or @t58 @t68))) % 0.37/0.57 (step @p40 :rule instantiate :premises (@p7) :args ((@list @t47 @t36 @t34))) % 0.37/0.57 (step @p41 :rule cnf_equiv_pos1 :args (@t69)) % 0.37/0.57 (step @p42 :rule reordering :premises (@p41) :args ((or (not @t53) @t63 (not @t69)))) % 0.37/0.57 (step @p43 :rule instantiate :premises (@p7) :args ((@list @t47 @t33 @t34))) % 0.37/0.57 (step @p44 :rule cnf_equiv_pos1 :args (@t70)) % 0.37/0.57 (step @p45 :rule reordering :premises (@p44) :args ((or (not @t52) @t67 (not @t70)))) % 0.37/0.57 (step @p46 :rule cnf_or_pos :args (@t54)) % 0.37/0.57 (step @p47 :rule reordering :premises (@p46) :args ((or @t53 @t52 @t71))) % 0.37/0.57 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p43 @p42 @p40 @p39 @p37) :args ((or @t58 @t71) (@list true false true false true true) (@list @t52 @t70 @t53 @t69 @t67 @t63))) % 0.37/0.57 (step @p49 :rule bool-double-not-elim :args (@t56)) % 0.37/0.57 (step @p50 :rule refl :args (@t72)) % 0.37/0.57 (step @p51 :rule refl :args (@t59)) % 0.37/0.57 (step @p52 :rule nary_cong :premises (@p51 @p50 @p49) :args ((or @t59 @t72 (not @t57)))) % 0.37/0.57 (step @p53 :rule cnf_and_neg :args (@t59)) % 0.37/0.57 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 0.37/0.57 (step @p55 :rule reordering :premises (@p54) :args ((or @t56 @t59 @t72))) % 0.37/0.57 (step @p56 :rule instantiate :premises (@p4) :args ((@list @t47 @t36 @t33))) % 0.37/0.57 (step @p57 :rule cnf_equiv_pos1 :args (@t74)) % 0.37/0.57 (step @p58 :rule reordering :premises (@p57) :args ((or @t57 @t73 (not @t74)))) % 0.37/0.57 (step @p59 :rule cnf_and_pos :args (@t73 0)) % 0.37/0.57 (step @p60 :rule reordering :premises (@p59) :args ((or @t61 @t75))) % 0.37/0.57 (step @p61 :rule cnf_and_pos :args (@t73 1)) % 0.37/0.57 (step @p62 :rule reordering :premises (@p61) :args ((or @t65 @t75))) % 0.37/0.57 (step @p63 :rule cnf_and_pos :args (@t63 1)) % 0.37/0.57 (step @p64 :rule reordering :premises (@p63) :args ((or @t62 @t64))) % 0.37/0.57 (step @p65 :rule cnf_and_pos :args (@t67 1)) % 0.37/0.57 (step @p66 :rule reordering :premises (@p65) :args ((or @t66 @t68))) % 0.37/0.57 (step @p67 :rule chain_m_resolution :premises (@p47 @p45 @p43 @p42 @p40 @p66 @p64 @p62 @p60 @p58 @p56 @p55 @p48 @p35 @p33 @p32 @p30 @p29 @p28) :args (@t51 (@list true false true false true true false false false false false false true false false false true false) (@list @t52 @t70 @t53 @t69 @t67 @t63 @t65 @t61 @t73 @t74 @t56 @t58 @t59 @t60 @t54 @t55 @t49 @t48))) % 0.37/0.57 (step @p68 :rule refl :args (@t76)) % 0.37/0.57 (step @p69 :rule bool-double-not-elim :args (@t46)) % 0.37/0.57 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or (not @t77) @t76))) % 0.37/0.57 (assume-push @p161 @t77) % 0.37/0.57 (step @p72 :rule skolemize :premises (@p161)) % 0.37/0.57 (step-pop @p162 :rule scope :premises (@p72)) % 0.37/0.57 (step @p73 :rule process_scope :premises (@p162) :args (@t76)) % 0.37/0.57 (step @p75 :rule implies_elim :premises (@p73)) % 0.37/0.57 (step @p76 :rule eq_resolve :premises (@p75 @p70)) % 0.37/0.57 (step @p77 :rule chain_m_resolution :premises (@p76 @p67) :args (@t46 (@list false) (@list @t51))) % 0.37/0.57 (step @p78 :rule cnf_equiv_pos2 :args (@t79)) % 0.37/0.57 (step @p79 :rule reordering :premises (@p78) :args ((or @t78 @t77 (not @t79)))) % 0.37/0.57 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p22) :args (@t78 @t80 (@list @t46 @t79))) % 0.37/0.57 (step @p81 :rule instantiate :premises (@p2) :args (@t45)) % 0.37/0.57 (step @p82 :rule aci_norm :args ((= (or (or @t30 @t29) @t22) @t31))) % 0.37/0.57 (step @p83 :rule refl :args (@t22)) % 0.37/0.57 (step @p84 :rule bool-and-de-morgan :args (@t24 @t23 true)) % 0.37/0.57 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or (not @t25) @t22))) % 0.37/0.57 (step @p86 :rule trans :premises (@p85 @p82)) % 0.37/0.57 (step @p87 :rule bool-impl-elim :args (@t25 @t22)) % 0.37/0.57 (step @p88 :rule trans :premises (@p87 @p86)) % 0.37/0.57 (step @p89 :rule cong :premises (@p88) :args (@t27)) % 0.37/0.57 (step @p90 :rule cong :premises (@p89) :args (@t28)) % 0.37/0.57 (step @p91 :rule eq_resolve :premises (@p12 @p90)) % 0.37/0.57 (step @p92 :rule skolemize :premises (@p91)) % 0.37/0.57 (step @p93 :rule cnf_or_neg :args (@t82 2)) % 0.37/0.57 (step @p94 :rule chain_m_resolution :premises (@p93 @p92) :args ((not @t81) @t83 (@list @t82))) % 0.37/0.57 (step @p95 :rule cnf_equiv_pos2 :args (@t86)) % 0.37/0.57 (step @p96 :rule reordering :premises (@p95) :args ((or @t81 @t87 (not @t86)))) % 0.37/0.57 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p81) :args (@t87 @t88 (@list @t81 @t86))) % 0.37/0.57 (step @p98 :rule cnf_and_neg :args (@t85)) % 0.37/0.57 (step @p99 :rule chain_m_resolution :premises (@p98 @p97 @p80) :args ((not @t84) @t88 (@list @t85 @t78))) % 0.37/0.57 (step @p100 :rule cnf_equiv_pos2 :args (@t89)) % 0.37/0.57 (step @p101 :rule reordering :premises (@p100) :args ((or @t84 @t90 (not @t89)))) % 0.37/0.57 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p21) :args (@t90 @t88 (@list @t84 @t89))) % 0.37/0.57 (step @p103 :rule refl :args (@t95)) % 0.37/0.57 (step @p104 :rule bool-double-not-elim :args (@t43)) % 0.37/0.57 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or (not @t90) @t95))) % 0.37/0.57 (assume-push @p163 @t90) % 0.37/0.57 (step @p107 :rule skolemize :premises (@p163)) % 0.37/0.57 (step-pop @p164 :rule scope :premises (@p107)) % 0.37/0.57 (step @p108 :rule process_scope :premises (@p164) :args (@t95)) % 0.37/0.57 (step @p110 :rule implies_elim :premises (@p108)) % 0.37/0.57 (step @p111 :rule eq_resolve :premises (@p110 @p105)) % 0.37/0.57 (step @p112 :rule chain_m_resolution :premises (@p111 @p102) :args (@t95 @t83 (@list @t43))) % 0.37/0.57 (step @p113 :rule cnf_or_neg :args (@t94 1)) % 0.37/0.57 (step @p114 :rule chain_m_resolution :premises (@p113 @p112) :args ((not @t91) @t83 @t96)) % 0.37/0.57 (step @p115 :rule cnf_equiv_pos2 :args (@t100)) % 0.37/0.57 (step @p116 :rule reordering :premises (@p115) :args ((or @t91 @t101 (not @t100)))) % 0.37/0.57 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p14) :args (@t101 @t88 (@list @t91 @t100))) % 0.37/0.57 (step @p118 :rule instantiate :premises (@p7) :args ((@list @t44 @t36 @t34))) % 0.37/0.57 (step @p119 :rule bool-double-not-elim :args (@t92)) % 0.37/0.57 (step @p120 :rule refl :args (@t94)) % 0.37/0.57 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or @t94 (not @t93)))) % 0.37/0.57 (step @p122 :rule cnf_or_neg :args (@t94 0)) % 0.37/0.57 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 0.37/0.57 (step @p124 :rule reordering :premises (@p123) :args ((or @t92 @t94))) % 0.37/0.57 (step @p125 :rule instantiate :premises (@p7) :args ((@list @t44 @t40 @t34))) % 0.37/0.57 (step @p126 :rule cnf_equiv_pos1 :args (@t106)) % 0.37/0.57 (step @p127 :rule reordering :premises (@p126) :args ((or @t93 @t105 (not @t106)))) % 0.37/0.57 (step @p128 :rule cnf_and_pos :args (@t105 0)) % 0.37/0.57 (step @p129 :rule reordering :premises (@p128) :args ((or @t104 @t107))) % 0.37/0.57 (step @p130 :rule cnf_and_pos :args (@t105 1)) % 0.37/0.57 (step @p131 :rule reordering :premises (@p130) :args ((or @t103 @t107))) % 0.37/0.57 (step @p132 :rule cnf_or_neg :args (@t99 1)) % 0.37/0.57 (step @p133 :rule bool-double-not-elim :args (@t108)) % 0.37/0.57 (step @p134 :rule refl :args (@t109)) % 0.37/0.57 (step @p135 :rule refl :args (@t111)) % 0.37/0.57 (step @p136 :rule nary_cong :premises (@p135 @p134 @p133) :args ((or @t111 @t109 (not @t110)))) % 0.37/0.57 (step @p137 :rule cnf_and_neg :args (@t111)) % 0.37/0.57 (step @p138 :rule eq_resolve :premises (@p137 @p136)) % 0.37/0.57 (step @p139 :rule reordering :premises (@p138) :args ((or @t109 @t108 @t111))) % 0.37/0.57 (step @p140 :rule instantiate :premises (@p4) :args ((@list @t44 @t36 @t33))) % 0.37/0.57 (step @p141 :rule cnf_equiv_pos2 :args (@t114)) % 0.37/0.57 (step @p142 :rule reordering :premises (@p141) :args ((or @t102 (not @t113) (not @t114)))) % 0.37/0.57 (step @p143 :rule instantiate :premises (@p7) :args ((@list @t44 @t33 @t34))) % 0.37/0.57 (step @p144 :rule cnf_equiv_pos2 :args (@t117)) % 0.37/0.57 (step @p145 :rule reordering :premises (@p144) :args ((or @t97 (not @t116) (not @t117)))) % 0.37/0.57 (step @p146 :rule cnf_and_neg :args (@t113)) % 0.37/0.57 (step @p147 :rule reordering :premises (@p146) :args ((or @t113 @t115 @t110))) % 0.37/0.57 (step @p148 :rule bool-double-not-elim :args (@t112)) % 0.37/0.57 (step @p149 :rule refl :args (@t116)) % 0.37/0.57 (step @p150 :rule nary_cong :premises (@p149 @p134 @p148) :args ((or @t116 @t109 (not @t115)))) % 0.37/0.57 (step @p151 :rule cnf_and_neg :args (@t116)) % 0.37/0.57 (step @p152 :rule eq_resolve :premises (@p151 @p150)) % 0.37/0.57 (step @p153 :rule reordering :premises (@p152) :args ((or @t109 @t112 @t116))) % 0.37/0.57 (step @p154 :rule chain_m_resolution :premises (@p153 @p147 @p145 @p143 @p142 @p140 @p139 @p132 @p131 @p129 @p116 @p14 @p127 @p125 @p113 @p124) :args ((or @t94 @t111) (@list true true false true false false true true false true false false false true false) (@list @t112 @t116 @t117 @t113 @t114 @t108 @t97 @t102 @t104 @t99 @t100 @t105 @t106 @t91 @t92))) % 0.37/0.57 (step @p155 :rule chain_m_resolution :premises (@p154 @p112) :args (@t111 @t83 @t96)) % 0.37/0.57 (step @p156 :rule cnf_equiv_pos2 :args (@t118)) % 0.37/0.57 (step @p157 :rule reordering :premises (@p156) :args ((or @t98 (not @t111) (not @t118)))) % 0.37/0.57 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p118) :args (@t98 @t80 (@list @t111 @t118))) % 0.37/0.57 (step @p159 :rule cnf_or_neg :args (@t99 0)) % 0.37/0.57 (step @p160 false :rule chain_m_resolution :premises (@p159 @p158 @p117) :args (false (@list false true) (@list @t98 @t99))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------