%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET010+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 : n022.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 08:46:53 AM UTC 2026 % Result : Theorem 1.95s 2.15s % Output : Proof 1.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET010+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n022.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 14:40:08 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 1.95/2.15 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.95/2.15 % SZS status Theorem % 1.95/2.15 % SZS output start Proof % 1.95/2.15 ( % 1.95/2.15 (declare-sort $$unsorted 0) % 1.95/2.15 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.95/2.15 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 1.95/2.15 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 1.95/2.15 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 1.95/2.15 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 1.95/2.15 (define @t1 () (@var "C" $$unsorted)) % 1.95/2.15 (define @t2 () (@var "D" $$unsorted)) % 1.95/2.15 (define @t3 () (tptp.member @t2 @t1)) % 1.95/2.15 (define @t4 () (@var "B" $$unsorted)) % 1.95/2.15 (define @t5 () (tptp.member @t2 @t4)) % 1.95/2.15 (define @t6 () (tptp.union @t4 @t1)) % 1.95/2.15 (define @t7 () (@list @t4 @t1 @t2)) % 1.95/2.15 (define @t8 () (tptp.intersection @t4 @t1)) % 1.95/2.15 (define @t9 () (tptp.difference @t4 @t1)) % 1.95/2.15 (define @t10 () (tptp.subset (tptp.union @t4 @t2) @t1)) % 1.95/2.15 (define @t11 () (tptp.subset @t2 @t1)) % 1.95/2.15 (define @t12 () (tptp.subset @t4 @t1)) % 1.95/2.15 (define @t13 () (and @t12 @t11)) % 1.95/2.15 (define @t14 () (forall @t7 (=> @t13 @t10))) % 1.95/2.15 (define @t15 () (@list @t4 @t1)) % 1.95/2.15 (define @t16 () (tptp.subset (tptp.difference @t2 @t1) (tptp.difference @t2 @t4))) % 1.95/2.15 (define @t17 () (forall @t7 (=> @t12 @t16))) % 1.95/2.15 (define @t18 () (= @t4 @t1)) % 1.95/2.15 (define @t19 () (forall @t15 (= @t18 (and @t12 (tptp.subset @t1 @t4))))) % 1.95/2.15 (define @t20 () (@list @t2)) % 1.95/2.15 (define @t21 () (forall @t20 (=> @t5 @t3))) % 1.95/2.15 (define @t22 () (= @t12 @t21)) % 1.95/2.15 (define @t23 () (forall @t15 @t22)) % 1.95/2.15 (define @t24 () (forall @t7 (= (tptp.difference @t4 (tptp.intersection @t1 @t2)) (tptp.union @t9 (tptp.difference @t4 @t2))))) % 1.95/2.15 (define @t25 () (@quantifiers_skolemize @t24 2)) % 1.95/2.15 (define @t26 () (@quantifiers_skolemize @t24 0)) % 1.95/2.15 (define @t27 () (tptp.difference @t26 @t25)) % 1.95/2.15 (define @t28 () (@quantifiers_skolemize @t24 1)) % 1.95/2.15 (define @t29 () (tptp.difference @t26 @t28)) % 1.95/2.15 (define @t30 () (tptp.union @t29 @t27)) % 1.95/2.15 (define @t31 () (tptp.intersection @t28 @t25)) % 1.95/2.15 (define @t32 () (tptp.difference @t26 @t31)) % 1.95/2.15 (define @t33 () (not (tptp.member @t2 @t32))) % 1.95/2.15 (define @t34 () (forall @t20 (or @t33 (tptp.member @t2 @t30)))) % 1.95/2.15 (define @t35 () (@quantifiers_skolemize @t34 0)) % 1.95/2.15 (define @t36 () (tptp.subset @t32 @t30)) % 1.95/2.15 (define @t37 () (tptp.subset @t30 @t32)) % 1.95/2.15 (define @t38 () (and @t37 @t36)) % 1.95/2.15 (define @t39 () (= (= @t30 @t32) @t38)) % 1.95/2.15 (define @t40 () (= @t32 @t30)) % 1.95/2.15 (define @t41 () (= @t40 @t38)) % 1.95/2.15 (define @t42 () (@list false)) % 1.95/2.15 (define @t43 () (not @t38)) % 1.95/2.15 (define @t44 () (@list true false)) % 1.95/2.15 (define @t45 () (not @t11)) % 1.95/2.15 (define @t46 () (not @t12)) % 1.95/2.15 (define @t47 () (@list @t28 @t25)) % 1.95/2.15 (define @t48 () (tptp.subset @t29 @t32)) % 1.95/2.15 (define @t49 () (tptp.subset @t31 @t28)) % 1.95/2.15 (define @t50 () (not @t49)) % 1.95/2.15 (define @t51 () (or @t50 @t48)) % 1.95/2.15 (define @t52 () (@list false false)) % 1.95/2.15 (define @t53 () (tptp.subset @t31 @t25)) % 1.95/2.15 (define @t54 () (tptp.subset @t27 @t32)) % 1.95/2.15 (define @t55 () (not @t53)) % 1.95/2.15 (define @t56 () (or @t55 @t54)) % 1.95/2.15 (define @t57 () (not @t54)) % 1.95/2.15 (define @t58 () (not @t48)) % 1.95/2.15 (define @t59 () (or @t58 @t57 @t37)) % 1.95/2.15 (define @t60 () (not @t36)) % 1.95/2.15 (define @t61 () (@list false true)) % 1.95/2.15 (define @t62 () (= @t36 @t34)) % 1.95/2.15 (define @t63 () (not @t34)) % 1.95/2.15 (define @t64 () (tptp.member @t35 @t32)) % 1.95/2.15 (define @t65 () (tptp.member @t35 @t30)) % 1.95/2.15 (define @t66 () (not @t64)) % 1.95/2.15 (define @t67 () (or @t66 @t65)) % 1.95/2.15 (define @t68 () (@list true)) % 1.95/2.15 (define @t69 () (@list @t67)) % 1.95/2.15 (define @t70 () (tptp.member @t35 @t31)) % 1.95/2.15 (define @t71 () (not @t70)) % 1.95/2.15 (define @t72 () (tptp.member @t35 @t26)) % 1.95/2.15 (define @t73 () (and @t72 @t71)) % 1.95/2.15 (define @t74 () (= @t64 @t73)) % 1.95/2.15 (define @t75 () (tptp.member @t35 @t25)) % 1.95/2.15 (define @t76 () (tptp.member @t35 @t28)) % 1.95/2.15 (define @t77 () (and @t76 @t75)) % 1.95/2.15 (define @t78 () (= @t70 @t77)) % 1.95/2.15 (define @t79 () (not @t77)) % 1.95/2.15 (define @t80 () (tptp.member @t35 @t27)) % 1.95/2.15 (define @t81 () (tptp.member @t35 @t29)) % 1.95/2.15 (define @t82 () (or @t81 @t80)) % 1.95/2.15 (define @t83 () (= @t65 @t82)) % 1.95/2.15 (define @t84 () (not @t82)) % 1.95/2.15 (define @t85 () (@list @t82)) % 1.95/2.15 (define @t86 () (not @t75)) % 1.95/2.15 (define @t87 () (and @t72 @t86)) % 1.95/2.15 (define @t88 () (= @t80 @t87)) % 1.95/2.15 (define @t89 () (not @t87)) % 1.95/2.15 (define @t90 () (forall @t20 (or @t33 (tptp.member @t2 @t26)))) % 1.95/2.15 (define @t91 () (@quantifiers_skolemize @t90 0)) % 1.95/2.15 (define @t92 () (tptp.member @t91 @t32)) % 1.95/2.15 (define @t93 () (tptp.member @t91 @t26)) % 1.95/2.15 (define @t94 () (not @t92)) % 1.95/2.15 (define @t95 () (or @t94 @t93)) % 1.95/2.15 (define @t96 () (and @t93 (not (tptp.member @t91 @t31)))) % 1.95/2.15 (define @t97 () (= @t92 @t96)) % 1.95/2.15 (define @t98 () (not @t95)) % 1.95/2.15 (define @t99 () (not @t90)) % 1.95/2.15 (define @t100 () (or @t66 @t72)) % 1.95/2.15 (define @t101 () (not @t72)) % 1.95/2.15 (define @t102 () (not @t76)) % 1.95/2.15 (define @t103 () (and @t72 @t102)) % 1.95/2.15 (define @t104 () (= @t81 @t103)) % 1.95/2.15 (define @t105 () (not @t103)) % 1.95/2.15 (assume @p1 (forall @t7 (= (tptp.member @t2 @t6) (or @t5 @t3)))) % 1.95/2.15 (assume @p2 (forall @t7 (= (tptp.member @t2 @t8) (and @t5 @t3)))) % 1.95/2.15 (assume @p3 (forall @t7 (= (tptp.member @t2 @t9) (and @t5 (not @t3))))) % 1.95/2.15 (assume @p4 @t14) % 1.95/2.15 (assume @p5 (forall @t15 (tptp.subset @t8 @t4))) % 1.95/2.15 (assume @p6 @t17) % 1.95/2.15 (assume @p7 @t19) % 1.95/2.15 (assume @p8 (forall @t15 (= @t6 (tptp.union @t1 @t4)))) % 1.95/2.15 (assume @p9 (forall @t15 (= @t8 (tptp.intersection @t1 @t4)))) % 1.95/2.15 (assume @p10 @t23) % 1.95/2.15 (assume @p11 (forall (@list @t4) (tptp.subset @t4 @t4))) % 1.95/2.15 (assume @p12 (forall @t15 (= @t18 (forall @t20 (= @t5 @t3))))) % 1.95/2.15 (assume @p13 (not @t24)) % 1.95/2.15 (assume @p14 true) % 1.95/2.15 (step @p15 :rule instantiate :premises (@p2) :args ((@list @t28 @t25 @t35))) % 1.95/2.15 (step @p16 :rule instantiate :premises (@p3) :args ((@list @t26 @t31 @t35))) % 1.95/2.15 (step @p17 :rule bool-impl-elim :args (@t5 @t3)) % 1.95/2.15 (step @p18 :rule cong :premises (@p17) :args (@t21)) % 1.95/2.15 (step @p19 :rule refl :args (@t12)) % 1.95/2.15 (step @p20 :rule cong :premises (@p19 @p18) :args (@t22)) % 1.95/2.15 (step @p21 :rule cong :premises (@p20) :args (@t23)) % 1.95/2.15 (step @p22 :rule eq_resolve :premises (@p10 @p21)) % 1.95/2.15 (step @p23 :rule instantiate :premises (@p22) :args ((@list @t32 @t30))) % 1.95/2.15 (step @p24 :rule refl :args (@t38)) % 1.95/2.15 (step @p25 :rule eq-symm :args (@t30 @t32)) % 1.95/2.15 (step @p26 :rule cong :premises (@p25 @p24) :args (@t39)) % 1.95/2.15 (step @p27 :rule refl :args (@t19)) % 1.95/2.15 (step @p28 :rule cong :premises (@p27 @p26) :args ((=> @t19 @t39))) % 1.95/2.15 (assume-push @p163 @t19) % 1.95/2.15 (step @p30 :rule instantiate :premises (@p7) :args ((@list @t30 @t32))) % 1.95/2.15 (step-pop @p164 :rule scope :premises (@p30)) % 1.95/2.15 (step @p31 :rule process_scope :premises (@p164) :args (@t39)) % 1.95/2.15 (step @p33 :rule eq_resolve :premises (@p31 @p28)) % 1.95/2.15 (step @p34 :rule implies_elim :premises (@p33)) % 1.95/2.15 (step @p35 :rule chain_m_resolution :premises (@p34 @p7) :args (@t41 @t42 (@list @t19))) % 1.95/2.15 (step @p36 :rule skolemize :premises (@p13)) % 1.95/2.15 (step @p37 :rule cnf_equiv_pos2 :args (@t41)) % 1.95/2.15 (step @p38 :rule reordering :premises (@p37) :args ((or @t40 @t43 (not @t41)))) % 1.95/2.15 (step @p39 :rule chain_m_resolution :premises (@p38 @p36 @p35) :args (@t43 @t44 (@list @t40 @t41))) % 1.95/2.15 (step @p40 :rule aci_norm :args ((= (or (or @t46 @t45) @t10) (or @t46 @t45 @t10)))) % 1.95/2.15 (step @p41 :rule refl :args (@t10)) % 1.95/2.15 (step @p42 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 1.95/2.15 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or (not @t13) @t10))) % 1.95/2.15 (step @p44 :rule trans :premises (@p43 @p40)) % 1.95/2.15 (step @p45 :rule bool-impl-elim :args (@t13 @t10)) % 1.95/2.15 (step @p46 :rule trans :premises (@p45 @p44)) % 1.95/2.15 (step @p47 :rule cong :premises (@p46) :args (@t14)) % 1.95/2.15 (step @p48 :rule eq_resolve :premises (@p4 @p47)) % 1.95/2.15 (step @p49 :rule instantiate :premises (@p48) :args ((@list @t29 @t32 @t27))) % 1.95/2.15 (step @p50 :rule bool-impl-elim :args (@t12 @t16)) % 1.95/2.15 (step @p51 :rule cong :premises (@p50) :args (@t17)) % 1.95/2.15 (step @p52 :rule eq_resolve :premises (@p6 @p51)) % 1.95/2.15 (step @p53 :rule instantiate :premises (@p52) :args ((@list @t31 @t28 @t26))) % 1.95/2.15 (step @p54 :rule instantiate :premises (@p5) :args (@t47)) % 1.95/2.15 (step @p55 :rule cnf_or_pos :args (@t51)) % 1.95/2.15 (step @p56 :rule reordering :premises (@p55) :args ((or @t50 @t48 (not @t51)))) % 1.95/2.15 (step @p57 :rule chain_m_resolution :premises (@p56 @p54 @p53) :args (@t48 @t52 (@list @t49 @t51))) % 1.95/2.15 (step @p58 :rule instantiate :premises (@p52) :args ((@list @t31 @t25 @t26))) % 1.95/2.15 (step @p59 :rule instantiate :premises (@p5) :args ((@list @t25 @t28))) % 1.95/2.15 (step @p60 :rule true_intro :premises (@p59)) % 1.95/2.15 (step @p61 :rule refl :args (@t25)) % 1.95/2.15 (step @p62 :rule instantiate :premises (@p9) :args (@t47)) % 1.95/2.15 (step @p63 :rule cong :premises (@p62 @p61) :args (@t53)) % 1.95/2.15 (step @p64 :rule trans :premises (@p63 @p60)) % 1.95/2.15 (step @p65 :rule true_elim :premises (@p64)) % 1.95/2.15 (step @p66 :rule cnf_or_pos :args (@t56)) % 1.95/2.15 (step @p67 :rule reordering :premises (@p66) :args ((or @t55 @t54 (not @t56)))) % 1.95/2.15 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p58) :args (@t54 @t52 (@list @t53 @t56))) % 1.95/2.15 (step @p69 :rule cnf_or_pos :args (@t59)) % 1.95/2.15 (step @p70 :rule reordering :premises (@p69) :args ((or @t57 @t58 @t37 (not @t59)))) % 1.95/2.15 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p57 @p49) :args (@t37 (@list false false false) (@list @t54 @t48 @t59))) % 1.95/2.15 (step @p72 :rule cnf_and_neg :args (@t38)) % 1.95/2.15 (step @p73 :rule reordering :premises (@p72) :args ((or (not @t37) @t38 @t60))) % 1.95/2.15 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p39) :args (@t60 @t61 (@list @t37 @t38))) % 1.95/2.15 (step @p75 :rule cnf_equiv_pos2 :args (@t62)) % 1.95/2.15 (step @p76 :rule reordering :premises (@p75) :args ((or @t36 @t63 (not @t62)))) % 1.95/2.15 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p23) :args (@t63 @t44 (@list @t36 @t62))) % 1.95/2.15 (step @p78 :rule skolemize :premises (@p77)) % 1.95/2.15 (step @p79 :rule bool-double-not-elim :args (@t64)) % 1.95/2.15 (step @p80 :rule refl :args (@t67)) % 1.95/2.15 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or @t67 (not @t66)))) % 1.95/2.15 (step @p82 :rule cnf_or_neg :args (@t67 0)) % 1.95/2.15 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 1.95/2.15 (step @p84 :rule reordering :premises (@p83) :args ((or @t64 @t67))) % 1.95/2.15 (step @p85 :rule chain_m_resolution :premises (@p84 @p78) :args (@t64 @t68 @t69)) % 1.95/2.15 (step @p86 :rule cnf_equiv_pos1 :args (@t74)) % 1.95/2.15 (step @p87 :rule reordering :premises (@p86) :args ((or @t66 @t73 (not @t74)))) % 1.95/2.15 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p16) :args (@t73 @t52 (@list @t64 @t74))) % 1.95/2.15 (step @p89 :rule cnf_and_pos :args (@t73 1)) % 1.95/2.15 (step @p90 :rule reordering :premises (@p89) :args ((or @t71 (not @t73)))) % 1.95/2.15 (step @p91 :rule chain_m_resolution :premises (@p90 @p88) :args (@t71 @t42 (@list @t73))) % 1.95/2.15 (step @p92 :rule cnf_equiv_pos2 :args (@t78)) % 1.95/2.15 (step @p93 :rule reordering :premises (@p92) :args ((or @t70 @t79 (not @t78)))) % 1.95/2.15 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p15) :args (@t79 @t44 (@list @t70 @t78))) % 1.95/2.15 (step @p95 :rule instantiate :premises (@p3) :args ((@list @t26 @t25 @t35))) % 1.95/2.15 (step @p96 :rule instantiate :premises (@p1) :args ((@list @t29 @t27 @t35))) % 1.95/2.15 (step @p97 :rule cnf_or_neg :args (@t67 1)) % 1.95/2.15 (step @p98 :rule chain_m_resolution :premises (@p97 @p78) :args ((not @t65) @t68 @t69)) % 1.95/2.15 (step @p99 :rule cnf_equiv_pos2 :args (@t83)) % 1.95/2.15 (step @p100 :rule reordering :premises (@p99) :args ((or @t65 @t84 (not @t83)))) % 1.95/2.15 (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p96) :args (@t84 @t44 (@list @t65 @t83))) % 1.95/2.15 (step @p102 :rule cnf_or_neg :args (@t82 1)) % 1.95/2.15 (step @p103 :rule chain_m_resolution :premises (@p102 @p101) :args ((not @t80) @t68 @t85)) % 1.95/2.15 (step @p104 :rule cnf_equiv_pos2 :args (@t88)) % 1.95/2.15 (step @p105 :rule reordering :premises (@p104) :args ((or @t80 @t89 (not @t88)))) % 1.95/2.15 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p95) :args (@t89 @t44 (@list @t80 @t88))) % 1.95/2.15 (step @p107 :rule bool-double-not-elim :args (@t92)) % 1.95/2.15 (step @p108 :rule refl :args (@t95)) % 1.95/2.15 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or @t95 (not @t94)))) % 1.95/2.15 (step @p110 :rule cnf_or_neg :args (@t95 0)) % 1.95/2.15 (step @p111 :rule eq_resolve :premises (@p110 @p109)) % 1.95/2.15 (step @p112 :rule reordering :premises (@p111) :args ((or @t92 @t95))) % 1.95/2.15 (step @p113 :rule cnf_or_neg :args (@t95 1)) % 1.95/2.15 (step @p114 :rule instantiate :premises (@p3) :args ((@list @t26 @t31 @t91))) % 1.95/2.15 (step @p115 :rule cnf_equiv_pos1 :args (@t97)) % 1.95/2.15 (step @p116 :rule reordering :premises (@p115) :args ((or @t94 @t96 (not @t97)))) % 1.95/2.15 (step @p117 :rule cnf_and_pos :args (@t96 0)) % 1.95/2.15 (step @p118 :rule reordering :premises (@p117) :args ((or @t93 (not @t96)))) % 1.95/2.15 (step @p119 :rule chain_m_resolution :premises (@p118 @p116 @p114 @p113 @p112) :args (@t95 (@list false false true false) (@list @t96 @t97 @t93 @t92))) % 1.95/2.15 (step @p120 :rule refl :args (@t98)) % 1.95/2.15 (step @p121 :rule bool-double-not-elim :args (@t90)) % 1.95/2.15 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or (not @t99) @t98))) % 1.95/2.15 (assume-push @p165 @t99) % 1.95/2.15 (step @p124 :rule skolemize :premises (@p165)) % 1.95/2.15 (step-pop @p166 :rule scope :premises (@p124)) % 1.95/2.15 (step @p125 :rule process_scope :premises (@p166) :args (@t98)) % 1.95/2.15 (step @p127 :rule implies_elim :premises (@p125)) % 1.95/2.15 (step @p128 :rule eq_resolve :premises (@p127 @p122)) % 1.95/2.15 (step @p129 :rule chain_m_resolution :premises (@p128 @p119) :args (@t90 @t42 (@list @t95))) % 1.95/2.15 (assume-push @p167 @t90) % 1.95/2.15 (step @p131 :rule instantiate :premises (@p167) :args ((@list @t35))) % 1.95/2.15 (step-pop @p168 :rule scope :premises (@p131)) % 1.95/2.15 (step @p132 :rule process_scope :premises (@p168) :args (@t100)) % 1.95/2.15 (step @p134 :rule implies_elim :premises (@p132)) % 1.95/2.15 (step @p135 :rule chain_m_resolution :premises (@p134 @p129) :args (@t100 @t42 (@list @t90))) % 1.95/2.15 (step @p136 :rule cnf_or_pos :args (@t100)) % 1.95/2.15 (step @p137 :rule reordering :premises (@p136) :args ((or @t66 @t72 (not @t100)))) % 1.95/2.15 (step @p138 :rule chain_m_resolution :premises (@p137 @p85 @p135) :args (@t72 @t52 (@list @t64 @t100))) % 1.95/2.15 (step @p139 :rule bool-double-not-elim :args (@t75)) % 1.95/2.15 (step @p140 :rule refl :args (@t101)) % 1.95/2.15 (step @p141 :rule refl :args (@t87)) % 1.95/2.15 (step @p142 :rule nary_cong :premises (@p141 @p140 @p139) :args ((or @t87 @t101 (not @t86)))) % 1.95/2.15 (step @p143 :rule cnf_and_neg :args (@t87)) % 1.95/2.15 (step @p144 :rule eq_resolve :premises (@p143 @p142)) % 1.95/2.15 (step @p145 :rule reordering :premises (@p144) :args ((or @t101 @t75 @t87))) % 1.95/2.15 (step @p146 :rule chain_m_resolution :premises (@p145 @p138 @p106) :args (@t75 @t61 (@list @t72 @t87))) % 1.95/2.15 (step @p147 :rule instantiate :premises (@p3) :args ((@list @t26 @t28 @t35))) % 1.95/2.15 (step @p148 :rule cnf_or_neg :args (@t82 0)) % 1.95/2.15 (step @p149 :rule chain_m_resolution :premises (@p148 @p101) :args ((not @t81) @t68 @t85)) % 1.95/2.15 (step @p150 :rule cnf_equiv_pos2 :args (@t104)) % 1.95/2.15 (step @p151 :rule reordering :premises (@p150) :args ((or @t81 @t105 (not @t104)))) % 1.95/2.15 (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p147) :args (@t105 @t44 (@list @t81 @t104))) % 1.95/2.15 (step @p153 :rule bool-double-not-elim :args (@t76)) % 1.95/2.15 (step @p154 :rule refl :args (@t103)) % 1.95/2.15 (step @p155 :rule nary_cong :premises (@p154 @p140 @p153) :args ((or @t103 @t101 (not @t102)))) % 1.95/2.15 (step @p156 :rule cnf_and_neg :args (@t103)) % 1.95/2.15 (step @p157 :rule eq_resolve :premises (@p156 @p155)) % 1.95/2.15 (step @p158 :rule reordering :premises (@p157) :args ((or @t101 @t76 @t103))) % 1.95/2.15 (step @p159 :rule chain_m_resolution :premises (@p158 @p138 @p152) :args (@t76 @t61 (@list @t72 @t103))) % 1.95/2.15 (step @p160 :rule cnf_and_neg :args (@t77)) % 1.95/2.15 (step @p161 :rule reordering :premises (@p160) :args ((or @t77 @t86 @t102))) % 1.95/2.15 (step @p162 false :rule chain_m_resolution :premises (@p161 @p159 @p146 @p94) :args (false (@list false false true) (@list @t76 @t75 @t77))) % 1.95/2.15 ) % 1.95/2.15 % SZS output end Proof % 1.95/2.15 % cvc5 exiting %------------------------------------------------------------------------------