%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN415+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 09:08:50 AM UTC 2026 % Result : Theorem 0.35s 0.56s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN415+1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n025.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 23:27:16 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.56 % SZS status Theorem % 0.35/0.56 % SZS output start Proof % 0.35/0.56 ( % 0.35/0.56 (declare-sort $$unsorted 0) % 0.35/0.56 (declare-const tptp.f (-> $$unsorted Bool)) % 0.35/0.56 (define @t1 () (@var "V" $$unsorted)) % 0.35/0.56 (define @t2 () (@var "U" $$unsorted)) % 0.35/0.56 (define @t3 () (= @t2 @t1)) % 0.35/0.56 (define @t4 () (tptp.f @t1)) % 0.35/0.56 (define @t5 () (@list @t1)) % 0.35/0.56 (define @t6 () (forall @t5 (=> @t4 @t3))) % 0.35/0.56 (define @t7 () (tptp.f @t2)) % 0.35/0.56 (define @t8 () (and @t7 @t6)) % 0.35/0.56 (define @t9 () (@list @t2)) % 0.35/0.56 (define @t10 () (exists @t9 @t8)) % 0.35/0.56 (define @t11 () (@var "Z" $$unsorted)) % 0.35/0.56 (define @t12 () (@var "Y" $$unsorted)) % 0.35/0.56 (define @t13 () (= @t12 @t11)) % 0.35/0.56 (define @t14 () (tptp.f @t11)) % 0.35/0.56 (define @t15 () (tptp.f @t12)) % 0.35/0.56 (define @t16 () (and @t15 @t14)) % 0.35/0.56 (define @t17 () (@list @t12 @t11)) % 0.35/0.56 (define @t18 () (forall @t17 (=> @t16 @t13))) % 0.35/0.56 (define @t19 () (@var "X" $$unsorted)) % 0.35/0.56 (define @t20 () (tptp.f @t19)) % 0.35/0.56 (define @t21 () (@list @t19)) % 0.35/0.56 (define @t22 () (exists @t21 @t20)) % 0.35/0.56 (define @t23 () (and @t22 @t18)) % 0.35/0.56 (define @t24 () (= @t23 @t10)) % 0.35/0.56 (define @t25 () (not @t24)) % 0.35/0.56 (define @t26 () (forall @t21 (not @t20))) % 0.35/0.56 (define @t27 () (@quantifiers_skolemize @t26 0)) % 0.35/0.56 (define @t28 () (tptp.f @t27)) % 0.35/0.56 (define @t29 () (not @t26)) % 0.35/0.56 (define @t30 () (not @t29)) % 0.35/0.56 (define @t31 () (not @t28)) % 0.35/0.56 (define @t32 () (not @t31)) % 0.35/0.56 (define @t33 () (not @t4)) % 0.35/0.56 (define @t34 () (forall @t5 (or @t33 @t3))) % 0.35/0.56 (define @t35 () (forall @t9 (or (not @t7) (not @t34)))) % 0.35/0.56 (define @t36 () (not @t14)) % 0.35/0.56 (define @t37 () (not @t15)) % 0.35/0.56 (define @t38 () (or @t37 @t36 @t13)) % 0.35/0.56 (define @t39 () (forall @t17 @t38)) % 0.35/0.56 (define @t40 () (and @t29 @t39)) % 0.35/0.56 (define @t41 () (not @t40)) % 0.35/0.56 (define @t42 () (not @t35)) % 0.35/0.56 (define @t43 () (not @t42)) % 0.35/0.56 (define @t44 () (and @t7 @t34)) % 0.35/0.56 (define @t45 () (forall @t9 (not @t44))) % 0.35/0.56 (define @t46 () (not @t45)) % 0.35/0.56 (define @t47 () (not @t39)) % 0.35/0.56 (define @t48 () (@quantifiers_skolemize @t35 0)) % 0.35/0.56 (define @t49 () (forall @t5 (or @t33 (= @t1 @t48)))) % 0.35/0.56 (define @t50 () (not @t49)) % 0.35/0.56 (define @t51 () (tptp.f @t48)) % 0.35/0.56 (define @t52 () (not @t51)) % 0.35/0.56 (define @t53 () (or @t52 @t50)) % 0.35/0.56 (define @t54 () (not @t53)) % 0.35/0.56 (define @t55 () (or @t33 (= @t48 @t1))) % 0.35/0.56 (define @t56 () (forall @t5 @t55)) % 0.35/0.56 (define @t57 () (not @t56)) % 0.35/0.56 (define @t58 () (or @t52 @t57)) % 0.35/0.56 (define @t59 () (not @t58)) % 0.35/0.56 (define @t60 () (@quantifiers_skolemize @t39 1)) % 0.35/0.56 (define @t61 () (@quantifiers_skolemize @t39 0)) % 0.35/0.56 (define @t62 () (= @t61 @t60)) % 0.35/0.56 (define @t63 () (tptp.f @t60)) % 0.35/0.56 (define @t64 () (not @t63)) % 0.35/0.56 (define @t65 () (tptp.f @t61)) % 0.35/0.56 (define @t66 () (not @t65)) % 0.35/0.56 (define @t67 () (or @t66 @t64 @t62)) % 0.35/0.56 (define @t68 () (not @t67)) % 0.35/0.56 (define @t69 () (or @t66 (= @t61 @t48))) % 0.35/0.56 (define @t70 () (or @t64 (= @t60 @t48))) % 0.35/0.56 (define @t71 () (= @t48 @t61)) % 0.35/0.56 (define @t72 () (or @t66 @t71)) % 0.35/0.56 (define @t73 () (= @t48 @t60)) % 0.35/0.56 (define @t74 () (or @t64 @t73)) % 0.35/0.56 (define @t75 () (not @t73)) % 0.35/0.56 (define @t76 () (not @t71)) % 0.35/0.56 (define @t77 () (not @t62)) % 0.35/0.56 (define @t78 () (and @t77 @t71)) % 0.35/0.56 (define @t79 () (or @t33 (= @t27 @t1))) % 0.35/0.56 (define @t80 () (forall @t5 @t79)) % 0.35/0.56 (define @t81 () (not @t80)) % 0.35/0.56 (define @t82 () (or @t31 @t81)) % 0.35/0.56 (define @t83 () (forall @t5 (or @t33 (= @t1 @t27)))) % 0.35/0.56 (define @t84 () (not @t83)) % 0.35/0.56 (define @t85 () (or @t31 @t84)) % 0.35/0.56 (define @t86 () (@quantifiers_skolemize @t83 0)) % 0.35/0.56 (define @t87 () (= @t27 @t86)) % 0.35/0.56 (define @t88 () (tptp.f @t86)) % 0.35/0.56 (define @t89 () (not @t88)) % 0.35/0.56 (define @t90 () (or @t89 @t87)) % 0.35/0.56 (define @t91 () (not @t90)) % 0.35/0.56 (define @t92 () (or @t89 (= @t86 @t27))) % 0.35/0.56 (define @t93 () (not @t92)) % 0.35/0.56 (define @t94 () (or @t31 @t89 @t87)) % 0.35/0.56 (define @t95 () (@list true)) % 0.35/0.56 (assume @p1 @t25) % 0.35/0.56 (assume @p2 true) % 0.35/0.56 (step @p3 :rule refl :args (@t28)) % 0.35/0.56 (step @p4 :rule bool-double-not-elim :args (@t26)) % 0.35/0.56 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t30 @t28))) % 0.35/0.56 (step @p6 :rule bool-double-not-elim :args (@t28)) % 0.35/0.56 (step @p7 :rule refl :args (@t29)) % 0.35/0.56 (step @p8 :rule cong :premises (@p7 @p6) :args ((=> @t29 @t32))) % 0.35/0.56 (assume-push @p216 @t29) % 0.35/0.56 (step @p10 :rule skolemize :premises (@p216)) % 0.35/0.56 (step-pop @p217 :rule scope :premises (@p10)) % 0.35/0.56 (step @p11 :rule process_scope :premises (@p217) :args (@t32)) % 0.35/0.56 (step @p13 :rule eq_resolve :premises (@p11 @p8)) % 0.35/0.56 (step @p14 :rule implies_elim :premises (@p13)) % 0.35/0.56 (step @p15 :rule eq_resolve :premises (@p14 @p5)) % 0.35/0.56 (step @p16 :rule bool-double-not-elim :args (@t35)) % 0.35/0.56 (step @p17 :rule refl :args (@t41)) % 0.35/0.56 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or @t41 @t43))) % 0.35/0.56 (step @p19 :rule bool-and-de-morgan :args (@t7 @t34 true)) % 0.35/0.56 (step @p20 :rule cong :premises (@p19) :args (@t45)) % 0.35/0.56 (step @p21 :rule cong :premises (@p20) :args (@t46)) % 0.35/0.56 (step @p22 :rule exists-elim :args ((= (exists @t9 @t44) @t46))) % 0.35/0.56 (step @p23 :rule trans :premises (@p22 @p21)) % 0.35/0.56 (step @p24 :rule bool-impl-elim :args (@t4 @t3)) % 0.35/0.56 (step @p25 :rule cong :premises (@p24) :args (@t6)) % 0.35/0.56 (step @p26 :rule refl :args (@t7)) % 0.35/0.56 (step @p27 :rule nary_cong :premises (@p26 @p25) :args (@t8)) % 0.35/0.56 (step @p28 :rule cong :premises (@p27) :args (@t10)) % 0.35/0.56 (step @p29 :rule trans :premises (@p28 @p23)) % 0.35/0.56 (step @p30 :rule aci_norm :args ((= (or (or @t37 @t36) @t13) @t38))) % 0.35/0.56 (step @p31 :rule refl :args (@t13)) % 0.35/0.56 (step @p32 :rule bool-and-de-morgan :args (@t15 @t14 true)) % 0.35/0.56 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or (not @t16) @t13))) % 0.35/0.56 (step @p34 :rule trans :premises (@p33 @p30)) % 0.35/0.56 (step @p35 :rule bool-impl-elim :args (@t16 @t13)) % 0.35/0.56 (step @p36 :rule trans :premises (@p35 @p34)) % 0.35/0.56 (step @p37 :rule cong :premises (@p36) :args (@t18)) % 0.35/0.56 (step @p38 :rule exists-elim :args ((= @t22 @t29))) % 0.35/0.56 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t23)) % 0.35/0.56 (step @p40 :rule cong :premises (@p39 @p29) :args (@t24)) % 0.35/0.56 (step @p41 :rule cong :premises (@p40) :args (@t25)) % 0.35/0.56 (step @p42 :rule eq_resolve :premises (@p1 @p41)) % 0.35/0.56 (step @p43 :rule not_equiv_elim2 :premises (@p42)) % 0.35/0.56 (step @p44 :rule eq_resolve :premises (@p43 @p18)) % 0.35/0.56 (step @p45 :rule reordering :premises (@p44) :args ((or @t35 @t41))) % 0.35/0.56 (step @p46 :rule refl :args (@t47)) % 0.35/0.56 (step @p47 :rule refl :args (@t40)) % 0.35/0.56 (step @p48 :rule nary_cong :premises (@p47 @p4 @p46) :args ((or @t40 @t30 @t47))) % 0.35/0.56 (step @p49 :rule cnf_and_neg :args (@t40)) % 0.35/0.56 (step @p50 :rule eq_resolve :premises (@p49 @p48)) % 0.35/0.56 (step @p51 :rule reordering :premises (@p50) :args ((or @t26 @t40 @t47))) % 0.35/0.56 (step @p52 :rule refl :args (@t54)) % 0.35/0.56 (step @p53 :rule nary_cong :premises (@p16 @p52) :args ((or @t43 @t54))) % 0.35/0.56 (step @p54 :rule eq-symm :args (@t48 @t1)) % 0.35/0.56 (step @p55 :rule refl :args (@t33)) % 0.35/0.56 (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t55)) % 0.35/0.56 (step @p57 :rule cong :premises (@p56) :args (@t56)) % 0.35/0.56 (step @p58 :rule cong :premises (@p57) :args (@t57)) % 0.35/0.56 (step @p59 :rule refl :args (@t52)) % 0.35/0.56 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t58)) % 0.35/0.56 (step @p61 :rule cong :premises (@p60) :args (@t59)) % 0.35/0.56 (step @p62 :rule refl :args (@t42)) % 0.35/0.56 (step @p63 :rule cong :premises (@p62 @p61) :args ((=> @t42 @t59))) % 0.35/0.56 (assume-push @p218 @t42) % 0.35/0.56 (step @p65 :rule skolemize :premises (@p218)) % 0.35/0.56 (step-pop @p219 :rule scope :premises (@p65)) % 0.35/0.56 (step @p66 :rule process_scope :premises (@p219) :args (@t59)) % 0.35/0.56 (step @p68 :rule eq_resolve :premises (@p66 @p63)) % 0.35/0.56 (step @p69 :rule implies_elim :premises (@p68)) % 0.35/0.56 (step @p70 :rule eq_resolve :premises (@p69 @p53)) % 0.35/0.56 (step @p71 :rule refl :args (@t68)) % 0.35/0.56 (step @p72 :rule bool-double-not-elim :args (@t39)) % 0.35/0.56 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or (not @t47) @t68))) % 0.35/0.56 (assume-push @p220 @t47) % 0.35/0.56 (step @p75 :rule skolemize :premises (@p220)) % 0.35/0.56 (step-pop @p221 :rule scope :premises (@p75)) % 0.35/0.56 (step @p76 :rule process_scope :premises (@p221) :args (@t68)) % 0.35/0.56 (step @p78 :rule implies_elim :premises (@p76)) % 0.35/0.56 (step @p79 :rule eq_resolve :premises (@p78 @p73)) % 0.35/0.56 (step @p80 :rule bool-double-not-elim :args (@t49)) % 0.35/0.56 (step @p81 :rule refl :args (@t53)) % 0.35/0.56 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t53 (not @t50)))) % 0.35/0.56 (step @p83 :rule cnf_or_neg :args (@t53 1)) % 0.35/0.56 (step @p84 :rule eq_resolve :premises (@p83 @p82)) % 0.35/0.56 (step @p85 :rule reordering :premises (@p84) :args ((or @t49 @t53))) % 0.35/0.56 (step @p86 :rule bool-double-not-elim :args (@t65)) % 0.35/0.56 (step @p87 :rule refl :args (@t67)) % 0.35/0.56 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or @t67 (not @t66)))) % 0.35/0.56 (step @p89 :rule cnf_or_neg :args (@t67 0)) % 0.35/0.56 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 0.35/0.56 (step @p91 :rule reordering :premises (@p90) :args ((or @t65 @t67))) % 0.35/0.56 (step @p92 :rule bool-double-not-elim :args (@t63)) % 0.35/0.56 (step @p93 :rule nary_cong :premises (@p87 @p92) :args ((or @t67 (not @t64)))) % 0.35/0.56 (step @p94 :rule cnf_or_neg :args (@t67 1)) % 0.35/0.56 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 0.35/0.56 (step @p96 :rule reordering :premises (@p95) :args ((or @t63 @t67))) % 0.35/0.56 (step @p97 :rule cnf_or_neg :args (@t67 2)) % 0.35/0.56 (step @p98 :rule eq-symm :args (@t61 @t48)) % 0.35/0.56 (step @p99 :rule refl :args (@t66)) % 0.35/0.56 (step @p100 :rule nary_cong :premises (@p99 @p98) :args (@t69)) % 0.35/0.56 (step @p101 :rule refl :args (@t49)) % 0.35/0.56 (step @p102 :rule cong :premises (@p101 @p100) :args ((=> @t49 @t69))) % 0.35/0.56 (assume-push @p222 @t49) % 0.35/0.56 (step @p104 :rule instantiate :premises (@p222) :args ((@list @t61))) % 0.35/0.56 (step-pop @p223 :rule scope :premises (@p104)) % 0.35/0.56 (step @p105 :rule process_scope :premises (@p223) :args (@t69)) % 0.35/0.56 (step @p107 :rule eq_resolve :premises (@p105 @p102)) % 0.35/0.56 (step @p108 :rule implies_elim :premises (@p107)) % 0.35/0.56 (step @p109 :rule eq-symm :args (@t60 @t48)) % 0.35/0.56 (step @p110 :rule refl :args (@t64)) % 0.35/0.56 (step @p111 :rule nary_cong :premises (@p110 @p109) :args (@t70)) % 0.35/0.56 (step @p112 :rule cong :premises (@p101 @p111) :args ((=> @t49 @t70))) % 0.35/0.56 (assume-push @p224 @t49) % 0.35/0.56 (step @p114 :rule instantiate :premises (@p224) :args ((@list @t60))) % 0.35/0.56 (step-pop @p225 :rule scope :premises (@p114)) % 0.35/0.56 (step @p115 :rule process_scope :premises (@p225) :args (@t70)) % 0.35/0.56 (step @p117 :rule eq_resolve :premises (@p115 @p112)) % 0.35/0.56 (step @p118 :rule implies_elim :premises (@p117)) % 0.35/0.56 (step @p119 :rule cnf_or_pos :args (@t72)) % 0.35/0.56 (step @p120 :rule reordering :premises (@p119) :args ((or @t66 @t71 (not @t72)))) % 0.35/0.56 (step @p121 :rule cnf_or_pos :args (@t74)) % 0.35/0.56 (step @p122 :rule reordering :premises (@p121) :args ((or @t64 @t73 (not @t74)))) % 0.35/0.56 (step @p123 :rule refl :args (@t75)) % 0.35/0.56 (step @p124 :rule refl :args (@t76)) % 0.35/0.56 (step @p125 :rule bool-double-not-elim :args (@t62)) % 0.35/0.56 (step @p126 :rule nary_cong :premises (@p125 @p124 @p123) :args ((or (not @t77) @t76 @t75))) % 0.35/0.56 (assume-push @p226 @t77) % 0.35/0.56 (assume-push @p227 @t71) % 0.35/0.56 (assume-push @p228 @t77) % 0.35/0.56 (assume-push @p229 @t71) % 0.35/0.56 (step @p131 :rule false_intro :premises (@p226)) % 0.35/0.56 (step @p132 :rule refl :args (@t60)) % 0.35/0.56 (step @p133 :rule cong :premises (@p227 @p132) :args (@t73)) % 0.35/0.56 (step @p134 :rule trans :premises (@p133 @p131)) % 0.35/0.56 (step @p135 :rule false_elim :premises (@p134)) % 0.35/0.56 (step-pop @p230 :rule scope :premises (@p135)) % 0.35/0.56 (step-pop @p231 :rule scope :premises (@p230)) % 0.35/0.56 (step @p136 :rule process_scope :premises (@p231) :args (@t75)) % 0.35/0.56 (step @p139 :rule and_intro :premises (@p226 @p227)) % 0.35/0.56 (step @p140 :rule modus_ponens :premises (@p139 @p136)) % 0.35/0.56 (step-pop @p232 :rule scope :premises (@p140)) % 0.35/0.56 (step-pop @p233 :rule scope :premises (@p232)) % 0.35/0.56 (step @p141 :rule process_scope :premises (@p233) :args (@t75)) % 0.35/0.56 (step @p144 :rule implies_elim :premises (@p141)) % 0.35/0.56 (step @p145 :rule cnf_and_neg :args (@t78)) % 0.35/0.56 (step @p146 :rule resolution :premises (@p145 @p144) :args (true @t78)) % 0.35/0.56 (step @p147 :rule eq_resolve :premises (@p146 @p126)) % 0.35/0.56 (step @p148 :rule chain_m_resolution :premises (@p147 @p122 @p120 @p118 @p108 @p97 @p96 @p91 @p85 @p79 @p70 @p51 @p45) :args ((or @t26 @t35) (@list false false false false true false false false true true true true) (@list @t73 @t71 @t74 @t72 @t62 @t63 @t65 @t49 @t67 @t53 @t39 @t40))) % 0.35/0.56 (step @p149 :rule not_equiv_elim1 :premises (@p42)) % 0.35/0.56 (step @p150 :rule cnf_and_pos :args (@t40 1)) % 0.35/0.56 (step @p151 :rule reordering :premises (@p150) :args ((or @t39 @t41))) % 0.35/0.56 (step @p152 :rule eq-symm :args (@t27 @t1)) % 0.35/0.56 (step @p153 :rule nary_cong :premises (@p55 @p152) :args (@t79)) % 0.35/0.56 (step @p154 :rule cong :premises (@p153) :args (@t80)) % 0.35/0.56 (step @p155 :rule cong :premises (@p154) :args (@t81)) % 0.35/0.56 (step @p156 :rule refl :args (@t31)) % 0.35/0.56 (step @p157 :rule nary_cong :premises (@p156 @p155) :args (@t82)) % 0.35/0.56 (step @p158 :rule refl :args (@t35)) % 0.35/0.56 (step @p159 :rule cong :premises (@p158 @p157) :args ((=> @t35 @t82))) % 0.35/0.56 (assume-push @p234 @t35) % 0.35/0.56 (step @p161 :rule instantiate :premises (@p234) :args ((@list @t27))) % 0.35/0.56 (step-pop @p235 :rule scope :premises (@p161)) % 0.35/0.56 (step @p162 :rule process_scope :premises (@p235) :args (@t82)) % 0.35/0.56 (step @p164 :rule eq_resolve :premises (@p162 @p159)) % 0.35/0.56 (step @p165 :rule implies_elim :premises (@p164)) % 0.35/0.56 (step @p166 :rule cnf_or_pos :args (@t85)) % 0.35/0.56 (step @p167 :rule reordering :premises (@p166) :args ((or @t31 @t84 (not @t85)))) % 0.35/0.57 (step @p168 :rule refl :args (@t91)) % 0.35/0.57 (step @p169 :rule bool-double-not-elim :args (@t83)) % 0.35/0.57 (step @p170 :rule nary_cong :premises (@p169 @p168) :args ((or (not @t84) @t91))) % 0.35/0.57 (step @p171 :rule eq-symm :args (@t86 @t27)) % 0.35/0.57 (step @p172 :rule refl :args (@t89)) % 0.35/0.57 (step @p173 :rule nary_cong :premises (@p172 @p171) :args (@t92)) % 0.35/0.57 (step @p174 :rule cong :premises (@p173) :args (@t93)) % 0.35/0.57 (step @p175 :rule refl :args (@t84)) % 0.35/0.57 (step @p176 :rule cong :premises (@p175 @p174) :args ((=> @t84 @t93))) % 0.35/0.57 (assume-push @p236 @t84) % 0.35/0.57 (step @p178 :rule skolemize :premises (@p236)) % 0.35/0.57 (step-pop @p237 :rule scope :premises (@p178)) % 0.35/0.57 (step @p179 :rule process_scope :premises (@p237) :args (@t93)) % 0.35/0.57 (step @p181 :rule eq_resolve :premises (@p179 @p176)) % 0.35/0.57 (step @p182 :rule implies_elim :premises (@p181)) % 0.35/0.57 (step @p183 :rule eq_resolve :premises (@p182 @p170)) % 0.35/0.57 (step @p184 :rule bool-double-not-elim :args (@t88)) % 0.35/0.57 (step @p185 :rule refl :args (@t90)) % 0.35/0.57 (step @p186 :rule nary_cong :premises (@p185 @p184) :args ((or @t90 (not @t89)))) % 0.35/0.57 (step @p187 :rule cnf_or_neg :args (@t90 0)) % 0.35/0.57 (step @p188 :rule eq_resolve :premises (@p187 @p186)) % 0.35/0.57 (step @p189 :rule reordering :premises (@p188) :args ((or @t88 @t90))) % 0.35/0.57 (step @p190 :rule cnf_or_neg :args (@t90 1)) % 0.35/0.57 (step @p191 :rule cnf_or_pos :args (@t94)) % 0.35/0.57 (step @p192 :rule reordering :premises (@p191) :args ((or @t31 @t89 @t87 (not @t94)))) % 0.35/0.57 (assume-push @p238 @t39) % 0.35/0.57 (step @p194 :rule instantiate :premises (@p238) :args ((@list @t27 @t86))) % 0.35/0.57 (step-pop @p239 :rule scope :premises (@p194)) % 0.35/0.57 (step @p195 :rule process_scope :premises (@p239) :args (@t94)) % 0.35/0.57 (step @p197 :rule implies_elim :premises (@p195)) % 0.35/0.57 (step @p198 :rule chain_m_resolution :premises (@p197 @p192 @p190 @p189 @p183 @p167 @p165 @p151 @p149 @p148 @p15) :args (@t26 (@list true true false true true false false false false false) (@list @t94 @t87 @t88 @t90 @t83 @t85 @t39 @t40 @t35 @t28))) % 0.35/0.57 (step @p199 :rule cnf_and_pos :args (@t40 0)) % 0.35/0.57 (step @p200 :rule reordering :premises (@p199) :args ((or @t29 @t41))) % 0.35/0.57 (step @p201 :rule chain_m_resolution :premises (@p200 @p198) :args (@t41 (@list false) (@list @t26))) % 0.35/0.57 (step @p202 :rule chain_m_resolution :premises (@p149 @p201) :args (@t42 @t95 (@list @t40))) % 0.35/0.57 (step @p203 :rule chain_m_resolution :premises (@p70 @p202) :args (@t54 @t95 (@list @t35))) % 0.35/0.57 (step @p204 :rule bool-double-not-elim :args (@t51)) % 0.35/0.57 (step @p205 :rule nary_cong :premises (@p81 @p204) :args ((or @t53 (not @t52)))) % 0.35/0.57 (step @p206 :rule cnf_or_neg :args (@t53 0)) % 0.35/0.57 (step @p207 :rule eq_resolve :premises (@p206 @p205)) % 0.35/0.57 (step @p208 :rule reordering :premises (@p207) :args ((or @t51 @t53))) % 0.35/0.57 (step @p209 :rule chain_m_resolution :premises (@p208 @p203) :args (@t51 @t95 (@list @t53))) % 0.35/0.57 (assume-push @p240 @t26) % 0.35/0.57 (step @p211 :rule instantiate :premises (@p240) :args ((@list @t48))) % 0.35/0.57 (step-pop @p241 :rule scope :premises (@p211)) % 0.35/0.57 (step @p212 :rule process_scope :premises (@p241) :args (@t52)) % 0.35/0.57 (step @p214 :rule implies_elim :premises (@p212)) % 0.35/0.57 (step @p215 false :rule chain_m_resolution :premises (@p214 @p209 @p198) :args (false (@list false false) (@list @t51 @t26))) % 0.35/0.57 ) % 0.35/0.57 % SZS output end Proof % 0.35/0.57 % cvc5 exiting %------------------------------------------------------------------------------