%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET582+3 : 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 : n019.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 08:48:06 AM UTC 2026 % Result : Theorem 0.44s 0.65s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET582+3 : TPTP v9.2.1. Released v2.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n019.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 16:03:19 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.65 % SZS status Theorem % 0.44/0.65 % SZS output start Proof % 0.44/0.65 ( % 0.44/0.65 (declare-sort $$unsorted 0) % 0.44/0.65 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (define @t1 () (@var "C" $$unsorted)) % 0.44/0.65 (define @t2 () (@var "B" $$unsorted)) % 0.44/0.65 (define @t3 () (= @t2 @t1)) % 0.44/0.65 (define @t4 () (@var "D" $$unsorted)) % 0.44/0.65 (define @t5 () (tptp.member @t4 @t1)) % 0.44/0.65 (define @t6 () (tptp.member @t4 @t2)) % 0.44/0.65 (define @t7 () (@list @t4)) % 0.44/0.65 (define @t8 () (forall @t7 (= @t6 @t5))) % 0.44/0.65 (define @t9 () (@list @t2 @t1)) % 0.44/0.65 (define @t10 () (forall @t9 (=> @t8 @t3))) % 0.44/0.65 (define @t11 () (tptp.union @t2 @t1)) % 0.44/0.65 (define @t12 () (@list @t2 @t1 @t4)) % 0.44/0.65 (define @t13 () (tptp.difference @t2 @t1)) % 0.44/0.65 (define @t14 () (tptp.symmetric_difference @t2 @t1)) % 0.44/0.65 (define @t15 () (tptp.subset @t2 @t1)) % 0.44/0.65 (define @t16 () (= @t2 (tptp.symmetric_difference @t1 @t4))) % 0.44/0.65 (define @t17 () (@var "E" $$unsorted)) % 0.44/0.65 (define @t18 () (@list @t17)) % 0.44/0.65 (define @t19 () (forall @t18 (= (not (tptp.member @t17 @t2)) (= (tptp.member @t17 @t1) (tptp.member @t17 @t4))))) % 0.44/0.65 (define @t20 () (forall @t12 (=> @t19 @t16))) % 0.44/0.65 (define @t21 () (not @t20)) % 0.44/0.65 (define @t22 () (forall @t12 (or (not @t19) @t16))) % 0.44/0.65 (define @t23 () (@quantifiers_skolemize @t22 2)) % 0.44/0.65 (define @t24 () (@quantifiers_skolemize @t22 1)) % 0.44/0.65 (define @t25 () (tptp.symmetric_difference @t24 @t23)) % 0.44/0.65 (define @t26 () (tptp.member @t4 @t25)) % 0.44/0.65 (define @t27 () (@quantifiers_skolemize @t22 0)) % 0.44/0.65 (define @t28 () (tptp.member @t4 @t27)) % 0.44/0.65 (define @t29 () (forall @t7 (= @t28 @t26))) % 0.44/0.65 (define @t30 () (@quantifiers_skolemize @t29 0)) % 0.44/0.65 (define @t31 () (tptp.member @t30 @t23)) % 0.44/0.65 (define @t32 () (not @t31)) % 0.44/0.65 (define @t33 () (tptp.member @t30 @t24)) % 0.44/0.65 (define @t34 () (and @t33 @t32)) % 0.44/0.65 (define @t35 () (not @t34)) % 0.44/0.65 (define @t36 () (tptp.difference @t24 @t23)) % 0.44/0.65 (define @t37 () (tptp.member @t30 @t36)) % 0.44/0.65 (define @t38 () (= @t37 @t34)) % 0.44/0.65 (define @t39 () (not @t38)) % 0.44/0.65 (define @t40 () (= @t33 @t31)) % 0.44/0.65 (define @t41 () (not @t40)) % 0.44/0.65 (define @t42 () (not @t33)) % 0.44/0.65 (define @t43 () (and @t31 @t42)) % 0.44/0.65 (define @t44 () (forall @t18 (= (not (tptp.member @t17 @t27)) (= (tptp.member @t17 @t24) (tptp.member @t17 @t23))))) % 0.44/0.65 (define @t45 () (= @t27 @t25)) % 0.44/0.65 (define @t46 () (not @t44)) % 0.44/0.65 (define @t47 () (or @t46 @t45)) % 0.44/0.65 (define @t48 () (@list true)) % 0.44/0.65 (define @t49 () (@list @t47)) % 0.44/0.65 (define @t50 () (tptp.member @t30 @t27)) % 0.44/0.65 (define @t51 () (not @t50)) % 0.44/0.65 (define @t52 () (= @t51 @t40)) % 0.44/0.65 (define @t53 () (not @t52)) % 0.44/0.65 (define @t54 () (tptp.difference @t23 @t24)) % 0.44/0.65 (define @t55 () (tptp.member @t30 @t54)) % 0.44/0.65 (define @t56 () (= @t55 @t43)) % 0.44/0.65 (define @t57 () (not @t56)) % 0.44/0.65 (define @t58 () (not @t43)) % 0.44/0.65 (define @t59 () (forall @t7 (= @t26 @t28))) % 0.44/0.65 (define @t60 () (not @t59)) % 0.44/0.65 (define @t61 () (or @t60 (= @t25 @t27))) % 0.44/0.65 (define @t62 () (forall @t9 (or (not @t8) @t3))) % 0.44/0.65 (define @t63 () (not @t29)) % 0.44/0.65 (define @t64 () (or @t63 @t45)) % 0.44/0.65 (define @t65 () (@list false)) % 0.44/0.65 (define @t66 () (@list true false)) % 0.44/0.65 (define @t67 () (tptp.member @t30 @t25)) % 0.44/0.65 (define @t68 () (= @t50 @t67)) % 0.44/0.65 (define @t69 () (or @t55 @t37)) % 0.44/0.65 (define @t70 () (tptp.union @t54 @t36)) % 0.44/0.65 (define @t71 () (tptp.member @t30 @t70)) % 0.44/0.65 (define @t72 () (not @t71)) % 0.44/0.65 (define @t73 () (tptp.symmetric_difference @t23 @t24)) % 0.44/0.65 (define @t74 () (= @t73 @t70)) % 0.44/0.65 (define @t75 () (not @t74)) % 0.44/0.65 (define @t76 () (= @t25 @t73)) % 0.44/0.65 (define @t77 () (not @t76)) % 0.44/0.65 (define @t78 () (not @t67)) % 0.44/0.65 (define @t79 () (and @t76 @t74 @t78)) % 0.44/0.65 (define @t80 () (= @t71 @t69)) % 0.44/0.65 (define @t81 () (not @t80)) % 0.44/0.65 (define @t82 () (not @t69)) % 0.44/0.65 (define @t83 () (not @t55)) % 0.44/0.65 (define @t84 () (and @t76 @t74 @t67)) % 0.44/0.65 (assume @p1 @t10) % 0.44/0.65 (assume @p2 (forall @t12 (= (tptp.member @t4 @t11) (or @t6 @t5)))) % 0.44/0.65 (assume @p3 (forall @t12 (= (tptp.member @t4 @t13) (and @t6 (not @t5))))) % 0.44/0.65 (assume @p4 (forall @t9 (= @t14 (tptp.union @t13 (tptp.difference @t1 @t2))))) % 0.44/0.65 (assume @p5 (forall @t9 (= @t3 (and @t15 (tptp.subset @t1 @t2))))) % 0.44/0.65 (assume @p6 (forall @t9 (= @t11 (tptp.union @t1 @t2)))) % 0.44/0.65 (assume @p7 (forall @t9 (= @t14 (tptp.symmetric_difference @t1 @t2)))) % 0.44/0.65 (assume @p8 (forall @t9 (= @t3 @t8))) % 0.44/0.65 (assume @p9 (forall @t9 (= @t15 (forall @t7 (=> @t6 @t5))))) % 0.44/0.65 (assume @p10 (forall (@list @t2) (tptp.subset @t2 @t2))) % 0.44/0.65 (assume @p11 @t21) % 0.44/0.65 (assume @p12 true) % 0.44/0.65 (step @p13 :rule instantiate :premises (@p3) :args ((@list @t24 @t23 @t30))) % 0.44/0.65 (step @p14 :rule cnf_and_pos :args (@t34 0)) % 0.44/0.65 (step @p15 :rule reordering :premises (@p14) :args ((or @t33 @t35))) % 0.44/0.65 (step @p16 :rule cnf_equiv_pos1 :args (@t38)) % 0.44/0.65 (step @p17 :rule reordering :premises (@p16) :args ((or (not @t37) @t34 @t39))) % 0.44/0.65 (step @p18 :rule cnf_equiv_pos2 :args (@t40)) % 0.44/0.65 (step @p19 :rule reordering :premises (@p18) :args ((or @t33 @t32 @t41))) % 0.44/0.65 (step @p20 :rule bool-double-not-elim :args (@t33)) % 0.44/0.65 (step @p21 :rule refl :args (@t32)) % 0.44/0.65 (step @p22 :rule refl :args (@t43)) % 0.44/0.65 (step @p23 :rule nary_cong :premises (@p22 @p21 @p20) :args ((or @t43 @t32 (not @t42)))) % 0.44/0.65 (step @p24 :rule cnf_and_neg :args (@t43)) % 0.44/0.65 (step @p25 :rule eq_resolve :premises (@p24 @p23)) % 0.44/0.65 (step @p26 :rule reordering :premises (@p25) :args ((or @t33 @t32 @t43))) % 0.44/0.65 (step @p27 :rule bool-impl-elim :args (@t19 @t16)) % 0.44/0.65 (step @p28 :rule cong :premises (@p27) :args (@t20)) % 0.44/0.65 (step @p29 :rule cong :premises (@p28) :args (@t21)) % 0.44/0.65 (step @p30 :rule eq_resolve :premises (@p11 @p29)) % 0.44/0.65 (step @p31 :rule skolemize :premises (@p30)) % 0.44/0.65 (step @p32 :rule bool-double-not-elim :args (@t44)) % 0.44/0.65 (step @p33 :rule refl :args (@t47)) % 0.44/0.65 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or @t47 (not @t46)))) % 0.44/0.65 (step @p35 :rule cnf_or_neg :args (@t47 0)) % 0.44/0.65 (step @p36 :rule eq_resolve :premises (@p35 @p34)) % 0.44/0.65 (step @p37 :rule reordering :premises (@p36) :args ((or @t44 @t47))) % 0.44/0.65 (step @p38 :rule chain_m_resolution :premises (@p37 @p31) :args (@t44 @t48 @t49)) % 0.44/0.65 (step @p39 :rule instantiate :premises (@p38) :args ((@list @t30))) % 0.44/0.65 (step @p40 :rule refl :args (@t40)) % 0.44/0.65 (step @p41 :rule bool-double-not-elim :args (@t50)) % 0.44/0.65 (step @p42 :rule refl :args (@t53)) % 0.44/0.65 (step @p43 :rule nary_cong :premises (@p42 @p41 @p40) :args ((or @t53 (not @t51) @t40))) % 0.44/0.65 (step @p44 :rule cnf_equiv_pos1 :args (@t52)) % 0.44/0.65 (step @p45 :rule eq_resolve :premises (@p44 @p43)) % 0.44/0.65 (step @p46 :rule reordering :premises (@p45) :args ((or @t50 @t40 @t53))) % 0.44/0.65 (step @p47 :rule instantiate :premises (@p3) :args ((@list @t23 @t24 @t30))) % 0.44/0.65 (step @p48 :rule cnf_equiv_pos2 :args (@t56)) % 0.44/0.65 (step @p49 :rule reordering :premises (@p48) :args ((or @t55 @t58 @t57))) % 0.44/0.65 (step @p50 :rule bool-impl-elim :args (@t8 @t3)) % 0.44/0.65 (step @p51 :rule cong :premises (@p50) :args (@t10)) % 0.44/0.65 (step @p52 :rule eq_resolve :premises (@p1 @p51)) % 0.44/0.65 (step @p53 :rule eq-symm :args (@t25 @t27)) % 0.44/0.65 (step @p54 :rule eq-symm :args (@t26 @t28)) % 0.44/0.65 (step @p55 :rule cong :premises (@p54) :args (@t59)) % 0.44/0.65 (step @p56 :rule cong :premises (@p55) :args (@t60)) % 0.44/0.65 (step @p57 :rule nary_cong :premises (@p56 @p53) :args (@t61)) % 0.44/0.65 (step @p58 :rule refl :args (@t62)) % 0.44/0.65 (step @p59 :rule cong :premises (@p58 @p57) :args ((=> @t62 @t61))) % 0.44/0.65 (assume-push @p179 @t62) % 0.44/0.65 (step @p61 :rule instantiate :premises (@p52) :args ((@list @t25 @t27))) % 0.44/0.65 (step-pop @p180 :rule scope :premises (@p61)) % 0.44/0.65 (step @p62 :rule process_scope :premises (@p180) :args (@t61)) % 0.44/0.65 (step @p64 :rule eq_resolve :premises (@p62 @p59)) % 0.44/0.65 (step @p65 :rule implies_elim :premises (@p64)) % 0.44/0.65 (step @p66 :rule chain_m_resolution :premises (@p65 @p52) :args (@t64 @t65 (@list @t62))) % 0.44/0.65 (step @p67 :rule cnf_or_neg :args (@t47 1)) % 0.44/0.65 (step @p68 :rule chain_m_resolution :premises (@p67 @p31) :args ((not @t45) @t48 @t49)) % 0.44/0.65 (step @p69 :rule cnf_or_pos :args (@t64)) % 0.44/0.65 (step @p70 :rule reordering :premises (@p69) :args ((or @t45 @t63 (not @t64)))) % 0.44/0.65 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p66) :args (@t63 @t66 (@list @t45 @t64))) % 0.44/0.65 (step @p72 :rule skolemize :premises (@p71)) % 0.44/0.65 (step @p73 :rule cnf_equiv_neg2 :args (@t68)) % 0.44/0.65 (step @p74 :rule cnf_or_neg :args (@t69 0)) % 0.44/0.65 (step @p75 :rule instantiate :premises (@p7) :args ((@list @t24 @t23))) % 0.44/0.65 (step @p76 :rule instantiate :premises (@p4) :args ((@list @t23 @t24))) % 0.44/0.65 (step @p77 :rule refl :args (@t72)) % 0.44/0.65 (step @p78 :rule bool-double-not-elim :args (@t67)) % 0.44/0.65 (step @p79 :rule refl :args (@t75)) % 0.44/0.65 (step @p80 :rule refl :args (@t77)) % 0.44/0.65 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78 @p77) :args ((or @t77 @t75 (not @t78) @t72))) % 0.44/0.65 (assume-push @p181 @t76) % 0.44/0.65 (assume-push @p182 @t74) % 0.44/0.65 (assume-push @p183 @t78) % 0.44/0.65 (assume-push @p184 @t78) % 0.44/0.65 (assume-push @p185 @t76) % 0.44/0.65 (assume-push @p186 @t74) % 0.44/0.65 (step @p88 :rule false_intro :premises (@p183)) % 0.44/0.65 (step @p89 :rule symm :premises (@p75)) % 0.44/0.65 (step @p90 :rule symm :premises (@p76)) % 0.44/0.65 (step @p91 :rule trans :premises (@p90 @p89)) % 0.44/0.65 (step @p92 :rule refl :args (@t30)) % 0.44/0.65 (step @p93 :rule cong :premises (@p92 @p91) :args (@t71)) % 0.44/0.65 (step @p94 :rule trans :premises (@p93 @p88)) % 0.44/0.65 (step @p95 :rule false_elim :premises (@p94)) % 0.44/0.65 (step-pop @p187 :rule scope :premises (@p95)) % 0.44/0.65 (step-pop @p188 :rule scope :premises (@p187)) % 0.44/0.65 (step-pop @p189 :rule scope :premises (@p188)) % 0.44/0.65 (step @p96 :rule process_scope :premises (@p189) :args (@t72)) % 0.44/0.65 (step @p100 :rule and_intro :premises (@p183 @p75 @p76)) % 0.44/0.65 (step @p101 :rule modus_ponens :premises (@p100 @p96)) % 0.44/0.65 (step-pop @p190 :rule scope :premises (@p101)) % 0.44/0.65 (step-pop @p191 :rule scope :premises (@p190)) % 0.44/0.65 (step-pop @p192 :rule scope :premises (@p191)) % 0.44/0.65 (step @p102 :rule process_scope :premises (@p192) :args (@t72)) % 0.44/0.65 (step @p106 :rule implies_elim :premises (@p102)) % 0.44/0.65 (step @p107 :rule cnf_and_neg :args (@t79)) % 0.44/0.65 (step @p108 :rule resolution :premises (@p107 @p106) :args (true @t79)) % 0.44/0.65 (step @p109 :rule eq_resolve :premises (@p108 @p81)) % 0.44/0.65 (step @p110 :rule instantiate :premises (@p2) :args ((@list @t54 @t36 @t30))) % 0.44/0.65 (step @p111 :rule cnf_equiv_pos2 :args (@t80)) % 0.44/0.65 (step @p112 :rule reordering :premises (@p111) :args ((or @t71 @t82 @t81))) % 0.44/0.65 (step @p113 :rule chain_m_resolution :premises (@p112 @p110 @p109 @p76 @p75 @p74 @p73 @p72 @p49 @p47 @p46 @p39 @p26 @p19) :args ((or @t33 @t32) (@list false true false false false true true false false false false false true) (@list @t80 @t71 @t74 @t76 @t69 @t67 @t68 @t55 @t56 @t50 @t52 @t43 @t40))) % 0.44/0.65 (step @p114 :rule cnf_equiv_neg1 :args (@t40)) % 0.44/0.65 (step @p115 :rule reordering :premises (@p114) :args ((or @t33 @t31 @t40))) % 0.44/0.65 (step @p116 :rule cnf_and_pos :args (@t43 0)) % 0.44/0.65 (step @p117 :rule reordering :premises (@p116) :args ((or @t31 @t58))) % 0.44/0.65 (step @p118 :rule cnf_equiv_pos2 :args (@t52)) % 0.44/0.65 (step @p119 :rule reordering :premises (@p118) :args ((or @t51 @t41 @t53))) % 0.44/0.65 (step @p120 :rule cnf_equiv_pos1 :args (@t56)) % 0.44/0.65 (step @p121 :rule reordering :premises (@p120) :args ((or @t83 @t43 @t57))) % 0.44/0.65 (step @p122 :rule cnf_equiv_neg1 :args (@t68)) % 0.44/0.65 (step @p123 :rule reordering :premises (@p122) :args ((or @t50 @t67 @t68))) % 0.44/0.65 (step @p124 :rule cnf_or_pos :args (@t69)) % 0.44/0.65 (step @p125 :rule reordering :premises (@p124) :args ((or @t55 @t37 @t82))) % 0.44/0.65 (step @p126 :rule cnf_equiv_pos1 :args (@t80)) % 0.44/0.65 (step @p127 :rule reordering :premises (@p126) :args ((or @t69 @t72 @t81))) % 0.44/0.65 (assume-push @p193 @t76) % 0.44/0.65 (assume-push @p194 @t74) % 0.44/0.65 (assume-push @p195 @t67) % 0.44/0.65 (assume-push @p196 @t67) % 0.44/0.65 (assume-push @p197 @t76) % 0.44/0.65 (assume-push @p198 @t74) % 0.44/0.65 (step @p134 :rule true_intro :premises (@p195)) % 0.44/0.65 (step @p89 :rule symm :premises (@p75)) % 0.44/0.65 (step @p90 :rule symm :premises (@p76)) % 0.44/0.65 (step @p91 :rule trans :premises (@p90 @p89)) % 0.44/0.65 (step @p92 :rule refl :args (@t30)) % 0.44/0.65 (step @p93 :rule cong :premises (@p92 @p91) :args (@t71)) % 0.44/0.65 (step @p135 :rule trans :premises (@p93 @p134)) % 0.44/0.65 (step @p136 :rule true_elim :premises (@p135)) % 0.44/0.65 (step-pop @p199 :rule scope :premises (@p136)) % 0.44/0.65 (step-pop @p200 :rule scope :premises (@p199)) % 0.44/0.65 (step-pop @p201 :rule scope :premises (@p200)) % 0.44/0.65 (step @p137 :rule process_scope :premises (@p201) :args (@t71)) % 0.44/0.65 (step @p141 :rule and_intro :premises (@p195 @p75 @p76)) % 0.44/0.65 (step @p142 :rule modus_ponens :premises (@p141 @p137)) % 0.44/0.65 (step-pop @p202 :rule scope :premises (@p142)) % 0.44/0.65 (step-pop @p203 :rule scope :premises (@p202)) % 0.44/0.65 (step-pop @p204 :rule scope :premises (@p203)) % 0.44/0.65 (step @p143 :rule process_scope :premises (@p204) :args (@t71)) % 0.44/0.65 (step @p147 :rule implies_elim :premises (@p143)) % 0.44/0.65 (step @p148 :rule cnf_and_neg :args (@t84)) % 0.44/0.65 (step @p149 :rule resolution :premises (@p148 @p147) :args (true @t84)) % 0.44/0.65 (step @p150 :rule chain_m_resolution :premises (@p149 @p76 @p75 @p127 @p110 @p125 @p123 @p72 @p121 @p47 @p119 @p39 @p117 @p115 @p113 @p17 @p13 @p15) :args (@t33 (@list false false true false true false true true false true false true false true true false true) (@list @t74 @t76 @t71 @t80 @t69 @t67 @t68 @t55 @t56 @t50 @t52 @t43 @t40 @t31 @t37 @t38 @t34))) % 0.44/0.65 (step @p151 :rule cnf_equiv_pos1 :args (@t40)) % 0.44/0.65 (step @p152 :rule reordering :premises (@p151) :args ((or @t31 @t42 @t41))) % 0.44/0.65 (step @p153 :rule cnf_and_pos :args (@t34 1)) % 0.44/0.65 (step @p154 :rule reordering :premises (@p153) :args ((or @t32 @t35))) % 0.44/0.65 (step @p155 :rule cnf_and_pos :args (@t43 1)) % 0.44/0.65 (step @p156 :rule reordering :premises (@p155) :args ((or @t42 @t58))) % 0.44/0.65 (step @p157 :rule chain_m_resolution :premises (@p156 @p150) :args (@t58 @t65 (@list @t33))) % 0.44/0.65 (step @p158 :rule chain_m_resolution :premises (@p121 @p157 @p47) :args (@t83 @t66 (@list @t43 @t56))) % 0.44/0.65 (step @p159 :rule chain_m_resolution :premises (@p125 @p158 @p127 @p110 @p17 @p13 @p149 @p76 @p75 @p154 @p123 @p72 @p152 @p150 @p119 @p39) :args (@t41 (@list true false false true false false false false true false true false false true false) (@list @t55 @t69 @t80 @t37 @t38 @t71 @t74 @t76 @t34 @t67 @t68 @t31 @t33 @t50 @t52))) % 0.44/0.65 (step @p160 :rule cnf_equiv_neg2 :args (@t40)) % 0.44/0.65 (step @p161 :rule chain_m_resolution :premises (@p160 @p159 @p150) :args (@t32 @t66 (@list @t40 @t33))) % 0.44/0.65 (step @p162 :rule bool-double-not-elim :args (@t31)) % 0.44/0.65 (step @p163 :rule refl :args (@t42)) % 0.44/0.65 (step @p164 :rule refl :args (@t34)) % 0.44/0.65 (step @p165 :rule nary_cong :premises (@p164 @p163 @p162) :args ((or @t34 @t42 (not @t32)))) % 0.44/0.65 (step @p166 :rule cnf_and_neg :args (@t34)) % 0.44/0.65 (step @p167 :rule eq_resolve :premises (@p166 @p165)) % 0.44/0.65 (step @p168 :rule reordering :premises (@p167) :args ((or @t31 @t42 @t34))) % 0.44/0.65 (step @p169 :rule chain_m_resolution :premises (@p168 @p161 @p150) :args (@t34 @t66 (@list @t31 @t33))) % 0.44/0.65 (step @p170 :rule cnf_equiv_pos2 :args (@t38)) % 0.44/0.65 (step @p171 :rule reordering :premises (@p170) :args ((or @t37 @t35 @t39))) % 0.44/0.65 (step @p172 :rule chain_m_resolution :premises (@p171 @p169 @p13) :args (@t37 (@list false false) (@list @t34 @t38))) % 0.44/0.65 (step @p173 :rule chain_m_resolution :premises (@p46 @p159 @p39) :args (@t50 @t66 (@list @t40 @t52))) % 0.44/0.65 (step @p174 :rule chain_m_resolution :premises (@p73 @p72 @p173) :args (@t78 @t66 (@list @t68 @t50))) % 0.44/0.65 (step @p175 :rule chain_m_resolution :premises (@p109 @p75 @p76 @p174) :args (@t72 (@list false false true) (@list @t76 @t74 @t67))) % 0.44/0.65 (step @p176 :rule chain_m_resolution :premises (@p112 @p175 @p110) :args (@t82 @t66 (@list @t71 @t80))) % 0.44/0.65 (step @p177 :rule cnf_or_neg :args (@t69 1)) % 0.44/0.65 (step @p178 false :rule chain_m_resolution :premises (@p177 @p176 @p172) :args (false @t66 (@list @t69 @t37))) % 0.44/0.65 ) % 0.44/0.65 % SZS output end Proof % 0.44/0.65 % cvc5 exiting %------------------------------------------------------------------------------