%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET699+4 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:48:28 AM UTC 2026 % Result : Theorem 0.43s 0.67s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET699+4 : TPTP v9.2.1. Released v2.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n026.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 16:07:40 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.43/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.43/0.67 % SZS status Theorem % 0.43/0.67 % SZS output start Proof % 0.43/0.67 ( % 0.43/0.67 (declare-sort $$unsorted 0) % 0.43/0.67 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.67 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.67 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.67 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.43/0.67 (declare-const tptp.empty_set $$unsorted) % 0.43/0.67 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.67 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.43/0.67 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.43/0.67 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.43/0.67 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.43/0.67 (define @t1 () (@var "B" $$unsorted)) % 0.43/0.67 (define @t2 () (@var "X" $$unsorted)) % 0.43/0.67 (define @t3 () (tptp.member @t2 @t1)) % 0.43/0.67 (define @t4 () (@var "A" $$unsorted)) % 0.43/0.67 (define @t5 () (tptp.member @t2 @t4)) % 0.43/0.67 (define @t6 () (@list @t2)) % 0.43/0.67 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.43/0.67 (define @t8 () (tptp.subset @t4 @t1)) % 0.43/0.67 (define @t9 () (= @t8 @t7)) % 0.43/0.67 (define @t10 () (@list @t4 @t1)) % 0.43/0.67 (define @t11 () (forall @t10 @t9)) % 0.43/0.67 (define @t12 () (@list @t2 @t4)) % 0.43/0.67 (define @t13 () (@list @t2 @t4 @t1)) % 0.43/0.67 (define @t14 () (@var "E" $$unsorted)) % 0.43/0.67 (define @t15 () (tptp.difference @t14 @t4)) % 0.43/0.67 (define @t16 () (= @t2 @t4)) % 0.43/0.67 (define @t17 () (@var "Y" $$unsorted)) % 0.43/0.67 (define @t18 () (tptp.member @t2 @t17)) % 0.43/0.67 (define @t19 () (tptp.member @t17 @t4)) % 0.43/0.67 (define @t20 () (@list @t17)) % 0.43/0.67 (define @t21 () (= @t8 (tptp.subset (tptp.intersection @t4 (tptp.difference @t14 @t1)) @t15))) % 0.43/0.67 (define @t22 () (tptp.subset @t1 @t14)) % 0.43/0.67 (define @t23 () (tptp.subset @t4 @t14)) % 0.43/0.67 (define @t24 () (and @t23 @t22)) % 0.43/0.67 (define @t25 () (@list @t4 @t1 @t14)) % 0.43/0.67 (define @t26 () (forall @t25 (=> @t24 @t21))) % 0.43/0.67 (define @t27 () (not @t26)) % 0.43/0.67 (define @t28 () (not @t22)) % 0.43/0.67 (define @t29 () (not @t23)) % 0.43/0.67 (define @t30 () (or @t29 @t28 @t21)) % 0.43/0.67 (define @t31 () (forall @t25 @t30)) % 0.43/0.67 (define @t32 () (@quantifiers_skolemize @t31 1)) % 0.43/0.67 (define @t33 () (@quantifiers_skolemize @t31 0)) % 0.43/0.67 (define @t34 () (tptp.member @t2 @t32)) % 0.43/0.67 (define @t35 () (not (tptp.member @t2 @t33))) % 0.43/0.67 (define @t36 () (forall @t6 (or @t35 @t34))) % 0.43/0.67 (define @t37 () (tptp.subset @t33 @t32)) % 0.43/0.67 (define @t38 () (= @t37 @t36)) % 0.43/0.67 (define @t39 () (not @t38)) % 0.43/0.67 (define @t40 () (not @t36)) % 0.43/0.67 (define @t41 () (@quantifiers_skolemize @t31 2)) % 0.43/0.67 (define @t42 () (tptp.difference @t41 @t33)) % 0.43/0.67 (define @t43 () (tptp.difference @t41 @t32)) % 0.43/0.67 (define @t44 () (tptp.intersection @t33 @t43)) % 0.43/0.67 (define @t45 () (tptp.subset @t44 @t42)) % 0.43/0.67 (define @t46 () (= @t37 @t45)) % 0.43/0.67 (define @t47 () (tptp.subset @t33 @t41)) % 0.43/0.67 (define @t48 () (not @t47)) % 0.43/0.67 (define @t49 () (or @t48 (not (tptp.subset @t32 @t41)) @t46)) % 0.43/0.67 (define @t50 () (@list true)) % 0.43/0.67 (define @t51 () (@list @t49)) % 0.43/0.67 (define @t52 () (not (tptp.member @t2 @t44))) % 0.43/0.67 (define @t53 () (forall @t6 (or @t52 (tptp.member @t2 @t42)))) % 0.43/0.67 (define @t54 () (= @t45 @t53)) % 0.43/0.67 (define @t55 () (not @t54)) % 0.43/0.67 (define @t56 () (not @t53)) % 0.43/0.67 (define @t57 () (@quantifiers_skolemize @t53 0)) % 0.43/0.67 (define @t58 () (tptp.member @t57 @t44)) % 0.43/0.67 (define @t59 () (not @t58)) % 0.43/0.67 (define @t60 () (or @t59 (tptp.member @t57 @t42))) % 0.43/0.67 (define @t61 () (not @t60)) % 0.43/0.67 (define @t62 () (tptp.member @t57 @t43)) % 0.43/0.67 (define @t63 () (and (tptp.member @t57 @t33) @t62)) % 0.43/0.67 (define @t64 () (= @t58 @t63)) % 0.43/0.67 (define @t65 () (tptp.member @t57 @t32)) % 0.43/0.67 (define @t66 () (not @t65)) % 0.43/0.67 (define @t67 () (and (tptp.member @t57 @t41) @t66)) % 0.43/0.67 (define @t68 () (= @t62 @t67)) % 0.43/0.67 (define @t69 () (or @t59 @t65)) % 0.43/0.67 (define @t70 () (forall @t6 (or @t52 @t34))) % 0.43/0.67 (define @t71 () (@quantifiers_skolemize @t70 0)) % 0.43/0.67 (define @t72 () (tptp.member @t71 @t32)) % 0.43/0.67 (define @t73 () (tptp.member @t71 @t44)) % 0.43/0.67 (define @t74 () (not @t73)) % 0.43/0.67 (define @t75 () (or @t74 @t72)) % 0.43/0.67 (define @t76 () (not @t75)) % 0.43/0.67 (define @t77 () (not @t70)) % 0.43/0.67 (define @t78 () (tptp.member @t71 @t33)) % 0.43/0.67 (define @t79 () (and @t78 (tptp.member @t71 @t43))) % 0.43/0.67 (define @t80 () (= @t73 @t79)) % 0.43/0.67 (define @t81 () (not @t78)) % 0.43/0.67 (define @t82 () (or @t81 @t72)) % 0.43/0.67 (define @t83 () (@list @t71)) % 0.43/0.67 (define @t84 () (@quantifiers_skolemize @t36 0)) % 0.43/0.67 (define @t85 () (tptp.member @t84 @t32)) % 0.43/0.67 (define @t86 () (tptp.member @t84 @t33)) % 0.43/0.67 (define @t87 () (not @t86)) % 0.43/0.67 (define @t88 () (or @t87 @t85)) % 0.43/0.67 (define @t89 () (not @t88)) % 0.43/0.67 (define @t90 () (forall @t6 (or @t35 (tptp.member @t2 @t41)))) % 0.43/0.67 (define @t91 () (= @t47 @t90)) % 0.43/0.67 (define @t92 () (@list false false)) % 0.43/0.67 (define @t93 () (@list @t84)) % 0.43/0.67 (define @t94 () (tptp.member @t84 @t41)) % 0.43/0.67 (define @t95 () (or @t87 @t94)) % 0.43/0.67 (define @t96 () (tptp.member @t84 @t44)) % 0.43/0.67 (define @t97 () (not @t96)) % 0.43/0.67 (define @t98 () (or @t97 @t85)) % 0.43/0.67 (define @t99 () (not @t98)) % 0.43/0.67 (define @t100 () (not @t94)) % 0.43/0.67 (define @t101 () (not @t85)) % 0.43/0.67 (define @t102 () (and @t94 @t101)) % 0.43/0.67 (define @t103 () (tptp.member @t84 @t43)) % 0.43/0.67 (define @t104 () (and @t86 @t103)) % 0.43/0.67 (define @t105 () (= @t96 @t104)) % 0.43/0.67 (define @t106 () (= @t103 @t102)) % 0.43/0.67 (define @t107 () (not @t37)) % 0.43/0.67 (define @t108 () (@list true true)) % 0.43/0.67 (define @t109 () (tptp.member @t71 @t42)) % 0.43/0.67 (define @t110 () (or @t74 @t109)) % 0.43/0.67 (define @t111 () (@list false)) % 0.43/0.67 (define @t112 () (not @t110)) % 0.43/0.67 (define @t113 () (and (tptp.member @t71 @t41) @t81)) % 0.43/0.67 (define @t114 () (= @t109 @t113)) % 0.43/0.67 (assume @p1 @t11) % 0.43/0.67 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.43/0.67 (assume @p3 (forall @t12 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.43/0.67 (assume @p4 (forall @t13 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.43/0.67 (assume @p5 (forall @t13 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.43/0.67 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.43/0.67 (assume @p7 (forall (@list @t1 @t4 @t14) (= (tptp.member @t1 @t15) (and (tptp.member @t1 @t14) (not (tptp.member @t1 @t4)))))) % 0.43/0.67 (assume @p8 (forall @t12 (= (tptp.member @t2 (tptp.singleton @t4)) @t16))) % 0.43/0.67 (assume @p9 (forall @t13 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t16 (= @t2 @t1))))) % 0.43/0.67 (assume @p10 (forall @t12 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t20 (and @t19 @t18))))) % 0.43/0.67 (assume @p11 (forall @t12 (= (tptp.member @t2 (tptp.product @t4)) (forall @t20 (=> @t19 @t18))))) % 0.43/0.67 (assume @p12 @t27) % 0.43/0.67 (assume @p13 true) % 0.43/0.67 (step @p14 :rule bool-impl-elim :args (@t5 @t3)) % 0.43/0.67 (step @p15 :rule cong :premises (@p14) :args (@t7)) % 0.43/0.67 (step @p16 :rule refl :args (@t8)) % 0.43/0.67 (step @p17 :rule cong :premises (@p16 @p15) :args (@t9)) % 0.43/0.67 (step @p18 :rule cong :premises (@p17) :args (@t11)) % 0.43/0.67 (step @p19 :rule eq_resolve :premises (@p1 @p18)) % 0.43/0.67 (step @p20 :rule instantiate :premises (@p19) :args ((@list @t33 @t32))) % 0.43/0.67 (step @p21 :rule cnf_equiv_pos2 :args (@t38)) % 0.43/0.67 (step @p22 :rule reordering :premises (@p21) :args ((or @t37 @t40 @t39))) % 0.43/0.67 (step @p23 :rule aci_norm :args ((= (or (or @t29 @t28) @t21) @t30))) % 0.43/0.67 (step @p24 :rule refl :args (@t21)) % 0.43/0.67 (step @p25 :rule bool-and-de-morgan :args (@t23 @t22 true)) % 0.43/0.67 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or (not @t24) @t21))) % 0.43/0.67 (step @p27 :rule trans :premises (@p26 @p23)) % 0.43/0.67 (step @p28 :rule bool-impl-elim :args (@t24 @t21)) % 0.43/0.67 (step @p29 :rule trans :premises (@p28 @p27)) % 0.43/0.67 (step @p30 :rule cong :premises (@p29) :args (@t26)) % 0.43/0.67 (step @p31 :rule cong :premises (@p30) :args (@t27)) % 0.43/0.67 (step @p32 :rule eq_resolve :premises (@p12 @p31)) % 0.43/0.67 (step @p33 :rule skolemize :premises (@p32)) % 0.43/0.67 (step @p34 :rule cnf_or_neg :args (@t49 2)) % 0.43/0.67 (step @p35 :rule chain_m_resolution :premises (@p34 @p33) :args ((not @t46) @t50 @t51)) % 0.43/0.67 (step @p36 :rule cnf_equiv_neg2 :args (@t46)) % 0.43/0.67 (step @p37 :rule instantiate :premises (@p19) :args ((@list @t44 @t42))) % 0.43/0.67 (step @p38 :rule cnf_equiv_pos2 :args (@t54)) % 0.43/0.67 (step @p39 :rule reordering :premises (@p38) :args ((or @t45 @t56 @t55))) % 0.43/0.67 (step @p40 :rule refl :args (@t61)) % 0.43/0.67 (step @p41 :rule bool-double-not-elim :args (@t53)) % 0.43/0.67 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or (not @t56) @t61))) % 0.43/0.67 (assume-push @p183 @t56) % 0.43/0.67 (step @p44 :rule skolemize :premises (@p183)) % 0.43/0.67 (step-pop @p184 :rule scope :premises (@p44)) % 0.43/0.67 (step @p45 :rule process_scope :premises (@p184) :args (@t61)) % 0.43/0.67 (step @p47 :rule implies_elim :premises (@p45)) % 0.43/0.67 (step @p48 :rule eq_resolve :premises (@p47 @p42)) % 0.43/0.67 (step @p49 :rule bool-double-not-elim :args (@t58)) % 0.43/0.67 (step @p50 :rule refl :args (@t60)) % 0.43/0.67 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t60 (not @t59)))) % 0.43/0.67 (step @p52 :rule cnf_or_neg :args (@t60 0)) % 0.43/0.67 (step @p53 :rule eq_resolve :premises (@p52 @p51)) % 0.43/0.67 (step @p54 :rule reordering :premises (@p53) :args ((or @t58 @t60))) % 0.43/0.67 (step @p55 :rule instantiate :premises (@p4) :args ((@list @t57 @t33 @t43))) % 0.43/0.67 (step @p56 :rule cnf_equiv_pos1 :args (@t64)) % 0.43/0.67 (step @p57 :rule reordering :premises (@p56) :args ((or @t59 @t63 (not @t64)))) % 0.43/0.67 (step @p58 :rule cnf_and_pos :args (@t63 1)) % 0.43/0.67 (step @p59 :rule reordering :premises (@p58) :args ((or @t62 (not @t63)))) % 0.43/0.67 (step @p60 :rule instantiate :premises (@p7) :args ((@list @t57 @t32 @t41))) % 0.43/0.67 (step @p61 :rule cnf_equiv_pos1 :args (@t68)) % 0.43/0.67 (step @p62 :rule reordering :premises (@p61) :args ((or (not @t62) @t67 (not @t68)))) % 0.43/0.67 (step @p63 :rule cnf_and_pos :args (@t67 1)) % 0.43/0.67 (step @p64 :rule reordering :premises (@p63) :args ((or @t66 (not @t67)))) % 0.43/0.67 (step @p65 :rule cnf_or_pos :args (@t69)) % 0.43/0.67 (step @p66 :rule reordering :premises (@p65) :args ((or @t59 @t65 (not @t69)))) % 0.43/0.67 (assume-push @p185 @t70) % 0.43/0.67 (step @p68 :rule instantiate :premises (@p185) :args ((@list @t57))) % 0.43/0.67 (step-pop @p186 :rule scope :premises (@p68)) % 0.43/0.67 (step @p69 :rule process_scope :premises (@p186) :args (@t69)) % 0.43/0.67 (step @p71 :rule implies_elim :premises (@p69)) % 0.43/0.67 (step @p72 :rule refl :args (@t76)) % 0.43/0.67 (step @p73 :rule bool-double-not-elim :args (@t70)) % 0.43/0.67 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or (not @t77) @t76))) % 0.43/0.67 (assume-push @p187 @t77) % 0.43/0.67 (step @p76 :rule skolemize :premises (@p187)) % 0.43/0.67 (step-pop @p188 :rule scope :premises (@p76)) % 0.43/0.67 (step @p77 :rule process_scope :premises (@p188) :args (@t76)) % 0.43/0.67 (step @p79 :rule implies_elim :premises (@p77)) % 0.43/0.67 (step @p80 :rule eq_resolve :premises (@p79 @p74)) % 0.43/0.67 (step @p81 :rule bool-double-not-elim :args (@t73)) % 0.43/0.67 (step @p82 :rule refl :args (@t75)) % 0.43/0.67 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t75 (not @t74)))) % 0.43/0.67 (step @p84 :rule cnf_or_neg :args (@t75 0)) % 0.43/0.67 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.43/0.67 (step @p86 :rule reordering :premises (@p85) :args ((or @t73 @t75))) % 0.43/0.67 (step @p87 :rule cnf_or_neg :args (@t75 1)) % 0.43/0.67 (step @p88 :rule instantiate :premises (@p4) :args ((@list @t71 @t33 @t43))) % 0.43/0.67 (step @p89 :rule cnf_equiv_pos1 :args (@t80)) % 0.43/0.67 (step @p90 :rule reordering :premises (@p89) :args ((or @t74 @t79 (not @t80)))) % 0.43/0.67 (step @p91 :rule cnf_and_pos :args (@t79 0)) % 0.43/0.67 (step @p92 :rule reordering :premises (@p91) :args ((or @t78 (not @t79)))) % 0.43/0.67 (step @p93 :rule cnf_or_pos :args (@t82)) % 0.43/0.67 (step @p94 :rule reordering :premises (@p93) :args ((or @t72 @t81 (not @t82)))) % 0.43/0.67 (assume-push @p189 @t36) % 0.43/0.67 (step @p96 :rule instantiate :premises (@p189) :args (@t83)) % 0.43/0.67 (step-pop @p190 :rule scope :premises (@p96)) % 0.43/0.67 (step @p97 :rule process_scope :premises (@p190) :args (@t82)) % 0.43/0.67 (step @p99 :rule implies_elim :premises (@p97)) % 0.43/0.67 (step @p100 :rule chain_m_resolution :premises (@p99 @p94 @p92 @p90 @p88 @p87 @p86 @p80 @p71 @p66 @p64 @p62 @p60 @p59 @p57 @p55 @p54 @p48 @p39 @p37 @p36 @p35 @p22 @p20) :args (@t40 (@list true false false false true false true true true true false false false false false false true true false true true false false) (@list @t82 @t78 @t79 @t80 @t72 @t73 @t75 @t70 @t69 @t65 @t67 @t68 @t62 @t63 @t64 @t58 @t60 @t53 @t54 @t45 @t46 @t37 @t38))) % 0.43/0.67 (step @p101 :rule refl :args (@t89)) % 0.43/0.67 (step @p102 :rule bool-double-not-elim :args (@t36)) % 0.43/0.67 (step @p103 :rule nary_cong :premises (@p102 @p101) :args ((or (not @t40) @t89))) % 0.43/0.67 (assume-push @p191 @t40) % 0.43/0.67 (step @p105 :rule skolemize :premises (@p191)) % 0.43/0.67 (step-pop @p192 :rule scope :premises (@p105)) % 0.43/0.67 (step @p106 :rule process_scope :premises (@p192) :args (@t89)) % 0.43/0.67 (step @p108 :rule implies_elim :premises (@p106)) % 0.43/0.67 (step @p109 :rule eq_resolve :premises (@p108 @p103)) % 0.43/0.67 (step @p110 :rule chain_m_resolution :premises (@p109 @p100) :args (@t89 @t50 (@list @t36))) % 0.43/0.67 (step @p111 :rule bool-double-not-elim :args (@t86)) % 0.43/0.67 (step @p112 :rule refl :args (@t88)) % 0.43/0.67 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or @t88 (not @t87)))) % 0.43/0.67 (step @p114 :rule cnf_or_neg :args (@t88 0)) % 0.43/0.67 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 0.43/0.67 (step @p116 :rule reordering :premises (@p115) :args ((or @t86 @t88))) % 0.43/0.67 (step @p117 :rule cnf_or_neg :args (@t88 1)) % 0.43/0.67 (step @p118 :rule instantiate :premises (@p19) :args ((@list @t33 @t41))) % 0.43/0.67 (step @p119 :rule bool-double-not-elim :args (@t47)) % 0.43/0.67 (step @p120 :rule refl :args (@t49)) % 0.43/0.67 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or @t49 (not @t48)))) % 0.43/0.67 (step @p122 :rule cnf_or_neg :args (@t49 0)) % 0.43/0.67 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 0.43/0.67 (step @p124 :rule reordering :premises (@p123) :args ((or @t47 @t49))) % 0.43/0.67 (step @p125 :rule chain_m_resolution :premises (@p124 @p33) :args (@t47 @t50 @t51)) % 0.43/0.67 (step @p126 :rule cnf_equiv_pos1 :args (@t91)) % 0.43/0.67 (step @p127 :rule reordering :premises (@p126) :args ((or @t48 @t90 (not @t91)))) % 0.43/0.67 (step @p128 :rule chain_m_resolution :premises (@p127 @p125 @p118) :args (@t90 @t92 (@list @t47 @t91))) % 0.43/0.67 (step @p129 :rule instantiate :premises (@p128) :args (@t93)) % 0.43/0.67 (step @p130 :rule cnf_or_pos :args (@t95)) % 0.43/0.67 (step @p131 :rule reordering :premises (@p130) :args ((or @t87 @t94 (not @t95)))) % 0.43/0.67 (step @p132 :rule cnf_or_pos :args (@t98)) % 0.43/0.67 (step @p133 :rule reordering :premises (@p132) :args ((or @t85 @t97 @t99))) % 0.43/0.67 (step @p134 :rule bool-double-not-elim :args (@t85)) % 0.43/0.67 (step @p135 :rule refl :args (@t100)) % 0.43/0.67 (step @p136 :rule refl :args (@t102)) % 0.43/0.67 (step @p137 :rule nary_cong :premises (@p136 @p135 @p134) :args ((or @t102 @t100 (not @t101)))) % 0.43/0.67 (step @p138 :rule cnf_and_neg :args (@t102)) % 0.43/0.67 (step @p139 :rule eq_resolve :premises (@p138 @p137)) % 0.43/0.67 (step @p140 :rule reordering :premises (@p139) :args ((or @t85 @t100 @t102))) % 0.43/0.67 (step @p141 :rule instantiate :premises (@p4) :args ((@list @t84 @t33 @t43))) % 0.43/0.67 (step @p142 :rule cnf_equiv_pos2 :args (@t105)) % 0.43/0.67 (step @p143 :rule reordering :premises (@p142) :args ((or @t96 (not @t104) (not @t105)))) % 0.43/0.67 (step @p144 :rule instantiate :premises (@p7) :args ((@list @t84 @t32 @t41))) % 0.43/0.67 (step @p145 :rule cnf_equiv_pos2 :args (@t106)) % 0.43/0.67 (step @p146 :rule reordering :premises (@p145) :args ((or @t103 (not @t102) (not @t106)))) % 0.43/0.67 (step @p147 :rule cnf_and_neg :args (@t104)) % 0.43/0.67 (step @p148 :rule reordering :premises (@p147) :args ((or @t87 @t104 (not @t103)))) % 0.43/0.67 (step @p149 :rule chain_m_resolution :premises (@p148 @p146 @p144 @p143 @p141 @p140 @p133 @p131 @p129 @p117 @p116) :args ((or @t88 @t99) (@list false false true false false true false false true false) (@list @t103 @t106 @t104 @t105 @t102 @t96 @t94 @t95 @t85 @t86))) % 0.43/0.67 (step @p150 :rule chain_m_resolution :premises (@p149 @p110) :args (@t99 @t50 (@list @t88))) % 0.43/0.67 (assume-push @p193 @t70) % 0.43/0.67 (step @p152 :rule instantiate :premises (@p193) :args (@t93)) % 0.43/0.67 (step-pop @p194 :rule scope :premises (@p152)) % 0.43/0.67 (step @p153 :rule process_scope :premises (@p194) :args (@t98)) % 0.43/0.67 (step @p155 :rule implies_elim :premises (@p153)) % 0.43/0.67 (step @p156 :rule chain_m_resolution :premises (@p155 @p150) :args (@t77 @t50 (@list @t98))) % 0.43/0.67 (step @p157 :rule chain_m_resolution :premises (@p80 @p156) :args (@t76 @t50 (@list @t70))) % 0.43/0.67 (step @p158 :rule cnf_equiv_pos1 :args (@t38)) % 0.43/0.67 (step @p159 :rule reordering :premises (@p158) :args ((or @t107 @t36 @t39))) % 0.43/0.67 (step @p160 :rule chain_m_resolution :premises (@p159 @p100 @p20) :args (@t107 (@list true false) (@list @t36 @t38))) % 0.43/0.67 (step @p161 :rule cnf_equiv_neg1 :args (@t46)) % 0.43/0.67 (step @p162 :rule reordering :premises (@p161) :args ((or @t37 @t45 @t46))) % 0.43/0.67 (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p35) :args (@t45 @t108 (@list @t37 @t46))) % 0.43/0.67 (step @p164 :rule cnf_equiv_pos1 :args (@t54)) % 0.43/0.67 (step @p165 :rule reordering :premises (@p164) :args ((or (not @t45) @t53 @t55))) % 0.43/0.67 (step @p166 :rule chain_m_resolution :premises (@p165 @p163 @p37) :args (@t53 @t92 (@list @t45 @t54))) % 0.43/0.67 (assume-push @p195 @t53) % 0.43/0.67 (step @p168 :rule instantiate :premises (@p195) :args (@t83)) % 0.43/0.67 (step-pop @p196 :rule scope :premises (@p168)) % 0.43/0.67 (step @p169 :rule process_scope :premises (@p196) :args (@t110)) % 0.43/0.67 (step @p171 :rule implies_elim :premises (@p169)) % 0.43/0.67 (step @p172 :rule chain_m_resolution :premises (@p171 @p166) :args (@t110 @t111 (@list @t53))) % 0.43/0.67 (step @p173 :rule cnf_or_pos :args (@t110)) % 0.43/0.67 (step @p174 :rule reordering :premises (@p173) :args ((or @t74 @t109 @t112))) % 0.43/0.67 (step @p175 :rule instantiate :premises (@p7) :args ((@list @t71 @t33 @t41))) % 0.43/0.67 (step @p176 :rule cnf_equiv_pos1 :args (@t114)) % 0.43/0.68 (step @p177 :rule reordering :premises (@p176) :args ((or (not @t109) @t113 (not @t114)))) % 0.43/0.68 (step @p178 :rule cnf_and_pos :args (@t113 1)) % 0.43/0.68 (step @p179 :rule reordering :premises (@p178) :args ((or @t81 (not @t113)))) % 0.43/0.68 (step @p180 :rule chain_m_resolution :premises (@p179 @p177 @p175 @p92 @p174 @p90 @p88) :args ((or @t74 @t112) (@list false false false false false false) (@list @t113 @t114 @t78 @t109 @t79 @t80))) % 0.43/0.68 (step @p181 :rule chain_m_resolution :premises (@p180 @p172) :args (@t74 @t111 (@list @t110))) % 0.43/0.68 (step @p182 false :rule chain_m_resolution :premises (@p86 @p181 @p157) :args (false @t108 (@list @t73 @t75))) % 0.43/0.68 ) % 0.43/0.68 % SZS output end Proof % 0.43/0.68 % cvc5 exiting %------------------------------------------------------------------------------