%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN056^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n025.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 09:07:55 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYN056^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n025.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 23:19:31 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.51 %----Proving TH0 % 0.38/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.cQ (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.cS (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.cP (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.cR (-> $$unsorted Bool)) % 0.38/0.58 (define @t1 () (@var "Xx" $$unsorted)) % 0.38/0.58 (define @t2 () (_ tptp.cR @t1)) % 0.38/0.58 (define @t3 () (_ tptp.cP @t1)) % 0.38/0.58 (define @t4 () (@list @t1)) % 0.38/0.58 (define @t5 () (forall @t4 (=> @t3 @t2))) % 0.38/0.58 (define @t6 () (_ tptp.cS @t1)) % 0.38/0.58 (define @t7 () (_ tptp.cQ @t1)) % 0.38/0.58 (define @t8 () (forall @t4 (=> @t7 @t6))) % 0.38/0.58 (define @t9 () (=> @t8 @t5)) % 0.38/0.58 (define @t10 () (=> @t5 @t8)) % 0.38/0.58 (define @t11 () (and @t10 @t9)) % 0.38/0.58 (define @t12 () (@var "Xy" $$unsorted)) % 0.38/0.58 (define @t13 () (_ tptp.cS @t12)) % 0.38/0.58 (define @t14 () (and (=> @t2 @t13) (=> @t13 @t2))) % 0.38/0.58 (define @t15 () (_ tptp.cQ @t12)) % 0.38/0.58 (define @t16 () (and @t3 @t15)) % 0.38/0.58 (define @t17 () (@list @t1 @t12)) % 0.38/0.58 (define @t18 () (forall @t17 (=> @t16 @t14))) % 0.38/0.58 (define @t19 () (exists @t4 @t3)) % 0.38/0.58 (define @t20 () (exists @t4 @t7)) % 0.38/0.58 (define @t21 () (=> @t20 @t19)) % 0.38/0.58 (define @t22 () (=> @t19 @t20)) % 0.38/0.58 (define @t23 () (and @t22 @t21 @t18)) % 0.38/0.58 (define @t24 () (=> @t23 @t11)) % 0.38/0.58 (define @t25 () (not @t24)) % 0.38/0.58 (define @t26 () (tptp.cR @t1)) % 0.38/0.58 (define @t27 () (tptp.cP @t1)) % 0.38/0.58 (define @t28 () (not @t27)) % 0.38/0.58 (define @t29 () (forall @t4 (or @t28 @t26))) % 0.38/0.58 (define @t30 () (tptp.cS @t1)) % 0.38/0.58 (define @t31 () (tptp.cQ @t1)) % 0.38/0.58 (define @t32 () (not @t31)) % 0.38/0.58 (define @t33 () (forall @t4 (or @t32 @t30))) % 0.38/0.58 (define @t34 () (=> @t33 @t29)) % 0.38/0.58 (define @t35 () (forall @t4 @t28)) % 0.38/0.58 (define @t36 () (@quantifiers_skolemize @t35 0)) % 0.38/0.58 (define @t37 () (tptp.cR @t36)) % 0.38/0.58 (define @t38 () (tptp.cP @t36)) % 0.38/0.58 (define @t39 () (not @t38)) % 0.38/0.58 (define @t40 () (or @t39 @t37)) % 0.38/0.58 (define @t41 () (not @t3)) % 0.38/0.58 (define @t42 () (or @t41 @t2)) % 0.38/0.58 (define @t43 () (not @t7)) % 0.38/0.58 (define @t44 () (or @t43 @t6)) % 0.38/0.58 (define @t45 () (tptp.cS @t12)) % 0.38/0.58 (define @t46 () (not @t13)) % 0.38/0.58 (define @t47 () (or @t46 @t2)) % 0.38/0.58 (define @t48 () (not @t2)) % 0.38/0.58 (define @t49 () (or @t48 @t13)) % 0.38/0.58 (define @t50 () (and @t49 @t47)) % 0.38/0.58 (define @t51 () (tptp.cQ @t12)) % 0.38/0.58 (define @t52 () (not @t15)) % 0.38/0.58 (define @t53 () (or @t41 @t52 @t50)) % 0.38/0.58 (define @t54 () (forall @t4 @t41)) % 0.38/0.58 (define @t55 () (not @t54)) % 0.38/0.58 (define @t56 () (forall @t4 @t43)) % 0.38/0.58 (define @t57 () (not @t56)) % 0.38/0.58 (define @t58 () (not @t35)) % 0.38/0.58 (define @t59 () (forall @t4 @t32)) % 0.38/0.58 (define @t60 () (not @t59)) % 0.38/0.58 (define @t61 () (not @t60)) % 0.38/0.58 (define @t62 () (@quantifiers_skolemize @t33 0)) % 0.38/0.58 (define @t63 () (tptp.cQ @t62)) % 0.38/0.58 (define @t64 () (not @t63)) % 0.38/0.58 (define @t65 () (tptp.cS @t62)) % 0.38/0.58 (define @t66 () (or @t64 @t65)) % 0.38/0.58 (define @t67 () (not @t66)) % 0.38/0.58 (define @t68 () (not @t33)) % 0.38/0.58 (define @t69 () (=> @t29 @t33)) % 0.38/0.58 (define @t70 () (@quantifiers_skolemize @t29 0)) % 0.38/0.58 (define @t71 () (tptp.cR @t70)) % 0.38/0.58 (define @t72 () (tptp.cP @t70)) % 0.38/0.58 (define @t73 () (not @t72)) % 0.38/0.58 (define @t74 () (or @t73 @t71)) % 0.38/0.58 (define @t75 () (not @t74)) % 0.38/0.58 (define @t76 () (not @t29)) % 0.38/0.58 (define @t77 () (not @t58)) % 0.38/0.58 (define @t78 () (not @t39)) % 0.38/0.58 (define @t79 () (@list true)) % 0.38/0.58 (define @t80 () (@list @t35)) % 0.38/0.58 (define @t81 () (not @t37)) % 0.38/0.58 (define @t82 () (or @t81 @t65)) % 0.38/0.58 (define @t83 () (and @t82 (or (not @t65) @t37))) % 0.38/0.58 (define @t84 () (or @t39 @t64 @t83)) % 0.38/0.58 (define @t85 () (@list @t29)) % 0.38/0.58 (define @t86 () (not @t71)) % 0.38/0.58 (define @t87 () (@list @t74)) % 0.38/0.58 (define @t88 () (@list false)) % 0.38/0.58 (define @t89 () (@quantifiers_skolemize @t59 0)) % 0.38/0.58 (define @t90 () (tptp.cS @t89)) % 0.38/0.58 (define @t91 () (tptp.cQ @t89)) % 0.38/0.58 (define @t92 () (not @t91)) % 0.38/0.58 (define @t93 () (or @t92 @t90)) % 0.38/0.58 (define @t94 () (not @t92)) % 0.38/0.58 (define @t95 () (not @t90)) % 0.38/0.58 (define @t96 () (or @t95 @t71)) % 0.38/0.58 (define @t97 () (and (or @t86 @t90) @t96)) % 0.38/0.58 (define @t98 () (or @t73 @t92 @t97)) % 0.38/0.58 (assume @p1 @t25) % 0.38/0.58 (assume @p2 true) % 0.38/0.58 (step @p3 :rule cnf_implies_neg2 :args (@t34)) % 0.38/0.58 (assume-push @p212 @t29) % 0.38/0.58 (step @p5 :rule instantiate :premises (@p212) :args ((@list @t36))) % 0.38/0.58 (step-pop @p213 :rule scope :premises (@p5)) % 0.38/0.58 (step @p6 :rule process_scope :premises (@p213) :args (@t40)) % 0.38/0.58 (step @p8 :rule implies_elim :premises (@p6)) % 0.38/0.58 (step @p9 :rule refl :args (@t26)) % 0.38/0.58 (step @p10 :rule refl :args (@t2)) % 0.38/0.58 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t2 @t26))) % 0.38/0.58 (step @p12 :rule symm :premises (@p11)) % 0.38/0.58 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.38/0.58 (step @p14 :rule refl :args (@t27)) % 0.38/0.58 (step @p15 :rule refl :args (@t3)) % 0.38/0.58 (step @p16 :rule cong :premises (@p15 @p14) :args ((= @t3 @t27))) % 0.38/0.58 (step @p17 :rule symm :premises (@p16)) % 0.38/0.58 (step @p18 :rule eq_resolve :premises (@p15 @p17)) % 0.38/0.58 (step @p19 :rule cong :premises (@p18) :args (@t41)) % 0.38/0.58 (step @p20 :rule nary_cong :premises (@p19 @p13) :args (@t42)) % 0.38/0.58 (step @p21 :rule cong :premises (@p20) :args ((forall @t4 @t42))) % 0.38/0.58 (step @p22 :rule bool-impl-elim :args (@t3 @t2)) % 0.38/0.58 (step @p23 :rule cong :premises (@p22) :args (@t5)) % 0.38/0.58 (step @p24 :rule trans :premises (@p23 @p21)) % 0.38/0.58 (step @p25 :rule refl :args (@t30)) % 0.38/0.58 (step @p26 :rule refl :args (@t6)) % 0.38/0.58 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t6 @t30))) % 0.38/0.58 (step @p28 :rule symm :premises (@p27)) % 0.38/0.58 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.38/0.58 (step @p30 :rule refl :args (@t31)) % 0.38/0.58 (step @p31 :rule refl :args (@t7)) % 0.38/0.58 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t7 @t31))) % 0.38/0.58 (step @p33 :rule symm :premises (@p32)) % 0.38/0.58 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.38/0.58 (step @p35 :rule cong :premises (@p34) :args (@t43)) % 0.38/0.58 (step @p36 :rule nary_cong :premises (@p35 @p29) :args (@t44)) % 0.38/0.58 (step @p37 :rule cong :premises (@p36) :args ((forall @t4 @t44))) % 0.38/0.58 (step @p38 :rule bool-impl-elim :args (@t7 @t6)) % 0.38/0.58 (step @p39 :rule cong :premises (@p38) :args (@t8)) % 0.38/0.58 (step @p40 :rule trans :premises (@p39 @p37)) % 0.38/0.58 (step @p41 :rule cong :premises (@p40 @p24) :args (@t9)) % 0.38/0.58 (step @p42 :rule cong :premises (@p24 @p40) :args (@t10)) % 0.38/0.58 (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t11)) % 0.38/0.58 (step @p44 :rule refl :args (@t45)) % 0.38/0.58 (step @p45 :rule refl :args (@t13)) % 0.38/0.58 (step @p46 :rule cong :premises (@p45 @p44) :args ((= @t13 @t45))) % 0.38/0.58 (step @p47 :rule symm :premises (@p46)) % 0.38/0.58 (step @p48 :rule eq_resolve :premises (@p45 @p47)) % 0.38/0.58 (step @p49 :rule cong :premises (@p48) :args (@t46)) % 0.38/0.58 (step @p50 :rule nary_cong :premises (@p49 @p13) :args (@t47)) % 0.38/0.58 (step @p51 :rule cong :premises (@p13) :args (@t48)) % 0.38/0.58 (step @p52 :rule nary_cong :premises (@p51 @p48) :args (@t49)) % 0.38/0.58 (step @p53 :rule nary_cong :premises (@p52 @p50) :args (@t50)) % 0.38/0.58 (step @p54 :rule refl :args (@t51)) % 0.38/0.58 (step @p55 :rule refl :args (@t15)) % 0.38/0.58 (step @p56 :rule cong :premises (@p55 @p54) :args ((= @t15 @t51))) % 0.38/0.58 (step @p57 :rule symm :premises (@p56)) % 0.38/0.58 (step @p58 :rule eq_resolve :premises (@p55 @p57)) % 0.38/0.58 (step @p59 :rule cong :premises (@p58) :args (@t52)) % 0.38/0.58 (step @p60 :rule nary_cong :premises (@p19 @p59 @p53) :args (@t53)) % 0.38/0.58 (step @p61 :rule cong :premises (@p60) :args ((forall @t17 @t53))) % 0.38/0.58 (step @p62 :rule aci_norm :args ((= (or (or @t41 @t52) @t50) @t53))) % 0.38/0.58 (step @p63 :rule bool-impl-elim :args (@t13 @t2)) % 0.38/0.58 (step @p64 :rule bool-impl-elim :args (@t2 @t13)) % 0.38/0.58 (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t14)) % 0.38/0.58 (step @p66 :rule bool-and-de-morgan :args (@t3 @t15 true)) % 0.38/0.58 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or (not @t16) @t14))) % 0.38/0.58 (step @p68 :rule trans :premises (@p67 @p62)) % 0.38/0.58 (step @p69 :rule bool-impl-elim :args (@t16 @t14)) % 0.38/0.58 (step @p70 :rule trans :premises (@p69 @p68)) % 0.38/0.58 (step @p71 :rule cong :premises (@p70) :args (@t18)) % 0.38/0.58 (step @p72 :rule trans :premises (@p71 @p61)) % 0.38/0.58 (step @p73 :rule cong :premises (@p19) :args (@t54)) % 0.38/0.58 (step @p74 :rule cong :premises (@p73) :args (@t55)) % 0.38/0.58 (step @p75 :rule exists-elim :args ((= @t19 @t55))) % 0.38/0.58 (step @p76 :rule trans :premises (@p75 @p74)) % 0.38/0.58 (step @p77 :rule cong :premises (@p35) :args (@t56)) % 0.38/0.58 (step @p78 :rule cong :premises (@p77) :args (@t57)) % 0.38/0.58 (step @p79 :rule exists-elim :args ((= @t20 @t57))) % 0.38/0.58 (step @p80 :rule trans :premises (@p79 @p78)) % 0.38/0.58 (step @p81 :rule cong :premises (@p80 @p76) :args (@t21)) % 0.38/0.58 (step @p82 :rule cong :premises (@p76 @p80) :args (@t22)) % 0.38/0.58 (step @p83 :rule nary_cong :premises (@p82 @p81 @p72) :args (@t23)) % 0.38/0.58 (step @p84 :rule cong :premises (@p83 @p43) :args (@t24)) % 0.38/0.58 (step @p85 :rule cong :premises (@p84) :args (@t25)) % 0.38/0.58 (step @p86 :rule eq_resolve :premises (@p1 @p85)) % 0.38/0.58 (step @p87 :rule not_implies_elim2 :premises (@p86)) % 0.38/0.58 (step @p88 :rule not_and :premises (@p87)) % 0.38/0.58 (step @p89 :rule refl :args (@t58)) % 0.38/0.58 (step @p90 :rule bool-double-not-elim :args (@t59)) % 0.38/0.58 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or @t61 @t58))) % 0.38/0.58 (step @p92 :rule not_implies_elim1 :premises (@p86)) % 0.38/0.58 (step @p93 :rule and_elim :premises (@p92) :args (1)) % 0.38/0.58 (step @p94 :rule implies_elim :premises (@p93)) % 0.38/0.58 (step @p95 :rule eq_resolve :premises (@p94 @p91)) % 0.38/0.58 (step @p96 :rule reordering :premises (@p95) :args ((or @t58 @t59))) % 0.38/0.58 (assume-push @p214 @t59) % 0.38/0.58 (step @p98 :rule instantiate :premises (@p214) :args ((@list @t62))) % 0.38/0.58 (step-pop @p215 :rule scope :premises (@p98)) % 0.38/0.58 (step @p99 :rule process_scope :premises (@p215) :args (@t64)) % 0.38/0.58 (step @p101 :rule implies_elim :premises (@p99)) % 0.38/0.58 (step @p102 :rule bool-double-not-elim :args (@t63)) % 0.38/0.58 (step @p103 :rule refl :args (@t66)) % 0.38/0.58 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or @t66 (not @t64)))) % 0.38/0.58 (step @p105 :rule cnf_or_neg :args (@t66 0)) % 0.38/0.58 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.38/0.58 (step @p107 :rule reordering :premises (@p106) :args ((or @t63 @t66))) % 0.38/0.58 (step @p108 :rule refl :args (@t67)) % 0.38/0.58 (step @p109 :rule bool-double-not-elim :args (@t33)) % 0.38/0.58 (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or (not @t68) @t67))) % 0.38/0.58 (assume-push @p216 @t68) % 0.38/0.58 (step @p112 :rule skolemize :premises (@p216)) % 0.38/0.58 (step-pop @p217 :rule scope :premises (@p112)) % 0.38/0.58 (step @p113 :rule process_scope :premises (@p217) :args (@t67)) % 0.38/0.58 (step @p115 :rule implies_elim :premises (@p113)) % 0.38/0.58 (step @p116 :rule eq_resolve :premises (@p115 @p110)) % 0.38/0.58 (step @p117 :rule cnf_implies_neg2 :args (@t69)) % 0.38/0.58 (step @p118 :rule refl :args (@t75)) % 0.38/0.58 (step @p119 :rule bool-double-not-elim :args (@t29)) % 0.38/0.58 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or (not @t76) @t75))) % 0.38/0.58 (assume-push @p218 @t76) % 0.38/0.58 (step @p122 :rule skolemize :premises (@p218)) % 0.38/0.58 (step-pop @p219 :rule scope :premises (@p122)) % 0.38/0.58 (step @p123 :rule process_scope :premises (@p219) :args (@t75)) % 0.38/0.58 (step @p125 :rule implies_elim :premises (@p123)) % 0.38/0.58 (step @p126 :rule eq_resolve :premises (@p125 @p120)) % 0.38/0.58 (step @p127 :rule bool-double-not-elim :args (@t72)) % 0.38/0.58 (step @p128 :rule refl :args (@t74)) % 0.38/0.58 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((or @t74 (not @t73)))) % 0.38/0.58 (step @p130 :rule cnf_or_neg :args (@t74 0)) % 0.38/0.58 (step @p131 :rule eq_resolve :premises (@p130 @p129)) % 0.38/0.58 (step @p132 :rule reordering :premises (@p131) :args ((or @t72 @t74))) % 0.38/0.58 (assume-push @p220 @t35) % 0.38/0.58 (step @p134 :rule instantiate :premises (@p220) :args ((@list @t70))) % 0.38/0.58 (step-pop @p221 :rule scope :premises (@p134)) % 0.38/0.58 (step @p135 :rule process_scope :premises (@p221) :args (@t73)) % 0.38/0.58 (step @p137 :rule implies_elim :premises (@p135)) % 0.38/0.58 (step @p138 :rule chain_m_resolution :premises (@p137 @p132 @p126 @p3 @p88 @p117 @p116 @p107 @p101 @p96) :args (@t58 (@list false true true true false false false true false) (@list @t72 @t74 @t29 @t34 @t69 @t33 @t66 @t63 @t59))) % 0.38/0.58 (step @p139 :rule refl :args (@t38)) % 0.38/0.58 (step @p140 :rule bool-double-not-elim :args (@t35)) % 0.38/0.58 (step @p141 :rule nary_cong :premises (@p140 @p139) :args ((or @t77 @t38))) % 0.38/0.58 (step @p142 :rule bool-double-not-elim :args (@t38)) % 0.38/0.58 (step @p143 :rule cong :premises (@p89 @p142) :args ((=> @t58 @t78))) % 0.38/0.58 (assume-push @p222 @t58) % 0.38/0.58 (step @p145 :rule skolemize :premises (@p222)) % 0.38/0.58 (step-pop @p223 :rule scope :premises (@p145)) % 0.38/0.58 (step @p146 :rule process_scope :premises (@p223) :args (@t78)) % 0.38/0.58 (step @p148 :rule eq_resolve :premises (@p146 @p143)) % 0.38/0.58 (step @p149 :rule implies_elim :premises (@p148)) % 0.38/0.58 (step @p150 :rule eq_resolve :premises (@p149 @p141)) % 0.38/0.58 (step @p151 :rule chain_m_resolution :premises (@p150 @p138) :args (@t38 @t79 @t80)) % 0.38/0.58 (step @p152 :rule cnf_or_pos :args (@t40)) % 0.38/0.58 (step @p153 :rule reordering :premises (@p152) :args ((or @t39 @t37 (not @t40)))) % 0.38/0.58 (step @p154 :rule cnf_or_neg :args (@t66 1)) % 0.38/0.58 (step @p155 :rule and_elim :premises (@p92) :args (2)) % 0.38/0.58 (step @p156 :rule instantiate :premises (@p155) :args ((@list @t36 @t62))) % 0.38/0.58 (step @p157 :rule cnf_or_pos :args (@t84)) % 0.38/0.58 (step @p158 :rule reordering :premises (@p157) :args ((or @t64 @t39 @t83 (not @t84)))) % 0.38/0.58 (step @p159 :rule cnf_or_pos :args (@t82)) % 0.38/0.58 (step @p160 :rule reordering :premises (@p159) :args ((or @t65 @t81 (not @t82)))) % 0.38/0.58 (step @p161 :rule cnf_and_pos :args (@t83 0)) % 0.38/0.58 (step @p162 :rule reordering :premises (@p161) :args ((or @t82 (not @t83)))) % 0.38/0.58 (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p158 @p156 @p151 @p154 @p107 @p116 @p117 @p153 @p151 @p88 @p8 @p3) :args (@t76 (@list true false false false true false true true false false true false false) (@list @t82 @t83 @t84 @t38 @t65 @t63 @t66 @t33 @t37 @t38 @t69 @t40 @t34))) % 0.38/0.58 (step @p164 :rule chain_m_resolution :premises (@p126 @p163) :args (@t75 @t79 @t85)) % 0.38/0.58 (step @p165 :rule cnf_or_neg :args (@t74 1)) % 0.38/0.58 (step @p166 :rule chain_m_resolution :premises (@p165 @p164) :args (@t86 @t79 @t87)) % 0.38/0.58 (step @p167 :rule cnf_implies_neg1 :args (@t69)) % 0.38/0.58 (step @p168 :rule reordering :premises (@p167) :args ((or @t29 @t69))) % 0.38/0.58 (step @p169 :rule chain_m_resolution :premises (@p168 @p163) :args (@t69 @t79 @t85)) % 0.38/0.58 (step @p170 :rule chain_m_resolution :premises (@p88 @p169) :args ((not @t34) @t88 (@list @t69))) % 0.38/0.58 (step @p171 :rule cnf_implies_neg1 :args (@t34)) % 0.38/0.58 (step @p172 :rule reordering :premises (@p171) :args ((or @t33 @t34))) % 0.38/0.58 (step @p173 :rule chain_m_resolution :premises (@p172 @p170) :args (@t33 @t79 (@list @t34))) % 0.38/0.58 (assume-push @p224 @t33) % 0.38/0.58 (step @p175 :rule instantiate :premises (@p224) :args ((@list @t89))) % 0.38/0.58 (step-pop @p225 :rule scope :premises (@p175)) % 0.38/0.58 (step @p176 :rule process_scope :premises (@p225) :args (@t93)) % 0.38/0.58 (step @p178 :rule implies_elim :premises (@p176)) % 0.38/0.58 (step @p179 :rule chain_m_resolution :premises (@p178 @p173) :args (@t93 @t88 (@list @t33))) % 0.38/0.58 (step @p180 :rule refl :args (@t60)) % 0.38/0.58 (step @p181 :rule nary_cong :premises (@p140 @p180) :args ((or @t77 @t60))) % 0.38/0.58 (step @p182 :rule and_elim :premises (@p92) :args (0)) % 0.38/0.58 (step @p183 :rule implies_elim :premises (@p182)) % 0.38/0.58 (step @p184 :rule eq_resolve :premises (@p183 @p181)) % 0.38/0.58 (step @p185 :rule chain_m_resolution :premises (@p184 @p138) :args (@t60 @t79 @t80)) % 0.38/0.58 (step @p186 :rule refl :args (@t91)) % 0.38/0.58 (step @p187 :rule nary_cong :premises (@p90 @p186) :args ((or @t61 @t91))) % 0.38/0.58 (step @p188 :rule bool-double-not-elim :args (@t91)) % 0.38/0.58 (step @p189 :rule cong :premises (@p180 @p188) :args ((=> @t60 @t94))) % 0.38/0.58 (assume-push @p226 @t60) % 0.38/0.58 (step @p191 :rule skolemize :premises (@p226)) % 0.38/0.59 (step-pop @p227 :rule scope :premises (@p191)) % 0.38/0.59 (step @p192 :rule process_scope :premises (@p227) :args (@t94)) % 0.38/0.59 (step @p194 :rule eq_resolve :premises (@p192 @p189)) % 0.38/0.59 (step @p195 :rule implies_elim :premises (@p194)) % 0.38/0.59 (step @p196 :rule eq_resolve :premises (@p195 @p187)) % 0.38/0.59 (step @p197 :rule chain_m_resolution :premises (@p196 @p185) :args (@t91 @t79 (@list @t59))) % 0.38/0.59 (step @p198 :rule cnf_or_pos :args (@t93)) % 0.38/0.59 (step @p199 :rule reordering :premises (@p198) :args ((or @t92 @t90 (not @t93)))) % 0.38/0.59 (step @p200 :rule chain_m_resolution :premises (@p199 @p197 @p179) :args (@t90 (@list false false) (@list @t91 @t93))) % 0.38/0.59 (step @p201 :rule instantiate :premises (@p155) :args ((@list @t70 @t89))) % 0.38/0.59 (step @p202 :rule chain_m_resolution :premises (@p132 @p164) :args (@t72 @t79 @t87)) % 0.38/0.59 (step @p203 :rule cnf_or_pos :args (@t98)) % 0.38/0.59 (step @p204 :rule reordering :premises (@p203) :args ((or @t73 @t92 @t97 (not @t98)))) % 0.38/0.59 (step @p205 :rule chain_m_resolution :premises (@p204 @p202 @p197 @p201) :args (@t97 (@list false false false) (@list @t72 @t91 @t98))) % 0.38/0.59 (step @p206 :rule cnf_and_pos :args (@t97 1)) % 0.38/0.59 (step @p207 :rule reordering :premises (@p206) :args ((or @t96 (not @t97)))) % 0.38/0.59 (step @p208 :rule chain_m_resolution :premises (@p207 @p205) :args (@t96 @t88 (@list @t97))) % 0.38/0.59 (step @p209 :rule cnf_or_pos :args (@t96)) % 0.38/0.59 (step @p210 :rule reordering :premises (@p209) :args ((or @t71 @t95 (not @t96)))) % 0.38/0.59 (step @p211 false :rule chain_m_resolution :premises (@p210 @p208 @p200 @p166) :args (false (@list false false true) (@list @t96 @t90 @t71))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------