%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM637^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:40:07 AM UTC 2026 % Result : Theorem 0.62s 0.83s % Output : Proof 0.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM637^2 : TPTP v9.2.1. Released v3.7.0. % 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 : n002.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 11:39:33 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.62/0.83 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.62/0.83 % SZS status Theorem % 0.62/0.83 % SZS output start Proof % 0.62/0.83 ( % 0.62/0.83 (declare-sort $$unsorted 0) % 0.62/0.83 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.62/0.83 (declare-const tptp.one $$unsorted) % 0.62/0.83 (define @t1 () (@var "X" $$unsorted)) % 0.62/0.83 (define @t2 () (_ tptp.succ @t1)) % 0.62/0.83 (define @t3 () (@list @t1)) % 0.62/0.83 (define @t4 () (@var "Y" $$unsorted)) % 0.62/0.83 (define @t5 () (@var "M" (-> $$unsorted Bool))) % 0.62/0.83 (define @t6 () (_ @t5 @t4)) % 0.62/0.83 (define @t7 () (@list @t4)) % 0.62/0.83 (define @t8 () (forall @t7 @t6)) % 0.62/0.83 (define @t9 () (_ @t5 @t2)) % 0.62/0.83 (define @t10 () (_ @t5 @t1)) % 0.62/0.83 (define @t11 () (forall @t3 (=> @t10 @t9))) % 0.62/0.83 (define @t12 () (_ @t5 tptp.one)) % 0.62/0.83 (define @t13 () (and @t12 @t11)) % 0.62/0.83 (define @t14 () (=> @t13 @t8)) % 0.62/0.83 (define @t15 () (@list @t5)) % 0.62/0.83 (define @t16 () (forall @t15 @t14)) % 0.62/0.83 (define @t17 () (@var "U" $$unsorted)) % 0.62/0.83 (define @t18 () (_ tptp.succ @t17)) % 0.62/0.83 (define @t19 () (= @t1 @t18)) % 0.62/0.83 (define @t20 () (@list @t17)) % 0.62/0.83 (define @t21 () (exists @t20 @t19)) % 0.62/0.83 (define @t22 () (not (= @t1 tptp.one))) % 0.62/0.83 (define @t23 () (=> @t22 @t21)) % 0.62/0.83 (define @t24 () (forall @t3 @t23)) % 0.62/0.83 (define @t25 () (not @t24)) % 0.62/0.83 (define @t26 () (tptp.succ @t17)) % 0.62/0.83 (define @t27 () (not (forall @t20 (not (= @t1 @t26))))) % 0.62/0.83 (define @t28 () (= tptp.one @t1)) % 0.62/0.83 (define @t29 () (not @t28)) % 0.62/0.83 (define @t30 () (not @t19)) % 0.62/0.83 (define @t31 () (forall @t20 @t30)) % 0.62/0.83 (define @t32 () (not @t31)) % 0.62/0.83 (define @t33 () (forall @t3 (or @t28 @t27))) % 0.62/0.83 (define @t34 () (@quantifiers_skolemize @t33 0)) % 0.62/0.83 (define @t35 () (forall @t20 (not (= @t26 @t34)))) % 0.62/0.83 (define @t36 () (not @t35)) % 0.62/0.83 (define @t37 () (= tptp.one @t34)) % 0.62/0.83 (define @t38 () (or @t37 @t36)) % 0.62/0.83 (define @t39 () (not @t38)) % 0.62/0.83 (define @t40 () (not @t33)) % 0.62/0.83 (define @t41 () (not (= @t34 @t26))) % 0.62/0.83 (define @t42 () (forall @t20 @t41)) % 0.62/0.83 (define @t43 () (not @t42)) % 0.62/0.83 (define @t44 () (or @t37 @t43)) % 0.62/0.83 (define @t45 () (not @t44)) % 0.62/0.83 (define @t46 () (@list true)) % 0.62/0.83 (define @t47 () (@list @t38)) % 0.62/0.83 (define @t48 () (@var "BOUND_VARIABLE_7487" $$unsorted)) % 0.62/0.83 (define @t49 () (_ @t5 @t48)) % 0.62/0.83 (define @t50 () (tptp.succ @t1)) % 0.62/0.83 (define @t51 () (_ @t5 @t50)) % 0.62/0.83 (define @t52 () (_ @t5 @t1)) % 0.62/0.83 (define @t53 () (forall @t3 (or (not @t52) @t51))) % 0.62/0.83 (define @t54 () (not @t53)) % 0.62/0.83 (define @t55 () (_ @t5 tptp.one)) % 0.62/0.83 (define @t56 () (not @t55)) % 0.62/0.83 (define @t57 () (or @t56 @t54 @t49)) % 0.62/0.83 (define @t58 () (forall (@list @t5 @t48) @t57)) % 0.62/0.83 (define @t59 () (@list @t48)) % 0.62/0.83 (define @t60 () (forall @t59 @t57)) % 0.62/0.83 (define @t61 () (forall @t59 @t49)) % 0.62/0.83 (define @t62 () (or @t56 @t54 @t61)) % 0.62/0.83 (define @t63 () (_ @t5 @t4)) % 0.62/0.83 (define @t64 () (forall @t7 @t63)) % 0.62/0.83 (define @t65 () (not @t12)) % 0.62/0.83 (define @t66 () (or @t65 @t54 @t64)) % 0.62/0.83 (define @t67 () (and @t12 @t53)) % 0.62/0.83 (define @t68 () (not @t10)) % 0.62/0.83 (define @t69 () (or @t68 @t9)) % 0.62/0.83 (define @t70 () (= @t1 @t34)) % 0.62/0.83 (define @t71 () (forall @t3 (or @t70 (not (= @t50 @t34))))) % 0.62/0.83 (define @t72 () (not @t71)) % 0.62/0.83 (define @t73 () (or @t37 @t72)) % 0.62/0.83 (define @t74 () (not (= @t34 @t34))) % 0.62/0.83 (define @t75 () (@var "BOUND_VARIABLE_28730" $$unsorted)) % 0.62/0.83 (define @t76 () (lambda (@list @t75) (not (= @t34 @t75)))) % 0.62/0.83 (define @t77 () (_ @t76 @t34)) % 0.62/0.83 (define @t78 () (not (= @t34 @t50))) % 0.62/0.83 (define @t79 () (_ @t76 @t50)) % 0.62/0.83 (define @t80 () (not (= @t34 @t1))) % 0.62/0.83 (define @t81 () (_ @t76 @t1)) % 0.62/0.83 (define @t82 () (not @t81)) % 0.62/0.83 (define @t83 () (or @t82 @t79)) % 0.62/0.83 (define @t84 () (forall @t3 @t83)) % 0.62/0.83 (define @t85 () (not @t84)) % 0.62/0.83 (define @t86 () (not (= @t34 tptp.one))) % 0.62/0.83 (define @t87 () (_ @t76 tptp.one)) % 0.62/0.83 (define @t88 () (not @t87)) % 0.62/0.83 (define @t89 () (or @t88 @t85 @t77)) % 0.62/0.83 (define @t90 () (@quantifiers_skolemize @t71 0)) % 0.62/0.83 (define @t91 () (tptp.succ @t90)) % 0.62/0.83 (define @t92 () (= @t34 @t91)) % 0.62/0.83 (define @t93 () (not @t92)) % 0.62/0.83 (define @t94 () (or (= @t34 @t90) @t93)) % 0.62/0.83 (define @t95 () (not @t94)) % 0.62/0.83 (define @t96 () (not (= @t91 @t34))) % 0.62/0.83 (define @t97 () (or (= @t90 @t34) @t96)) % 0.62/0.83 (define @t98 () (not @t97)) % 0.62/0.83 (assume @p1 (forall @t3 (not (= @t2 tptp.one)))) % 0.62/0.83 (assume @p2 (forall (@list @t1 @t4) (=> (= @t2 (_ tptp.succ @t4)) (= @t1 @t4)))) % 0.62/0.83 (assume @p3 @t16) % 0.62/0.83 (assume @p4 @t25) % 0.62/0.83 (assume @p5 true) % 0.62/0.83 (step @p6 :rule refl :args (@t27)) % 0.62/0.83 (step @p7 :rule bool-double-not-elim :args (@t28)) % 0.62/0.83 (step @p8 :rule nary_cong :premises (@p7 @p6) :args ((or (not @t29) @t27))) % 0.62/0.83 (step @p9 :rule bool-impl-elim :args (@t29 @t27)) % 0.62/0.83 (step @p10 :rule trans :premises (@p9 @p8)) % 0.62/0.83 (step @p11 :rule cong :premises (@p10) :args ((forall @t3 (=> @t29 @t27)))) % 0.62/0.83 (step @p12 :rule refl :args (@t26)) % 0.62/0.83 (step @p13 :rule refl :args (@t18)) % 0.62/0.83 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t18 @t26))) % 0.62/0.83 (step @p15 :rule symm :premises (@p14)) % 0.62/0.83 (step @p16 :rule eq_resolve :premises (@p13 @p15)) % 0.62/0.83 (step @p17 :rule refl :args (@t1)) % 0.62/0.83 (step @p18 :rule cong :premises (@p17 @p16) :args (@t19)) % 0.62/0.83 (step @p19 :rule cong :premises (@p18) :args (@t30)) % 0.62/0.83 (step @p20 :rule cong :premises (@p19) :args (@t31)) % 0.62/0.83 (step @p21 :rule cong :premises (@p20) :args (@t32)) % 0.62/0.83 (step @p22 :rule exists-elim :args ((= @t21 @t32))) % 0.62/0.83 (step @p23 :rule trans :premises (@p22 @p21)) % 0.62/0.83 (step @p24 :rule eq-symm :args (@t1 tptp.one)) % 0.62/0.83 (step @p25 :rule cong :premises (@p24) :args (@t22)) % 0.62/0.83 (step @p26 :rule cong :premises (@p25 @p23) :args (@t23)) % 0.62/0.83 (step @p27 :rule cong :premises (@p26) :args (@t24)) % 0.62/0.83 (step @p28 :rule trans :premises (@p27 @p11)) % 0.62/0.83 (step @p29 :rule cong :premises (@p28) :args (@t25)) % 0.62/0.83 (step @p30 :rule eq_resolve :premises (@p4 @p29)) % 0.62/0.83 (step @p31 :rule refl :args (@t39)) % 0.62/0.83 (step @p32 :rule bool-double-not-elim :args (@t33)) % 0.62/0.83 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or (not @t40) @t39))) % 0.62/0.83 (step @p34 :rule eq-symm :args (@t34 @t26)) % 0.62/0.83 (step @p35 :rule cong :premises (@p34) :args (@t41)) % 0.62/0.83 (step @p36 :rule cong :premises (@p35) :args (@t42)) % 0.62/0.83 (step @p37 :rule cong :premises (@p36) :args (@t43)) % 0.62/0.83 (step @p38 :rule refl :args (@t37)) % 0.62/0.83 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t44)) % 0.62/0.83 (step @p40 :rule cong :premises (@p39) :args (@t45)) % 0.62/0.83 (step @p41 :rule refl :args (@t40)) % 0.62/0.83 (step @p42 :rule cong :premises (@p41 @p40) :args ((=> @t40 @t45))) % 0.62/0.83 (assume-push @p203 @t40) % 0.62/0.83 (step @p44 :rule skolemize :premises (@p30)) % 0.62/0.83 (step-pop @p204 :rule scope :premises (@p44)) % 0.62/0.83 (step @p45 :rule process_scope :premises (@p204) :args (@t45)) % 0.62/0.83 (step @p47 :rule eq_resolve :premises (@p45 @p42)) % 0.62/0.83 (step @p48 :rule implies_elim :premises (@p47)) % 0.62/0.83 (step @p49 :rule eq_resolve :premises (@p48 @p33)) % 0.62/0.83 (step @p50 :rule chain_m_resolution :premises (@p49 @p30) :args (@t39 @t46 (@list @t33))) % 0.62/0.83 (step @p51 :rule bool-double-not-elim :args (@t35)) % 0.62/0.83 (step @p52 :rule refl :args (@t38)) % 0.62/0.83 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t38 (not @t36)))) % 0.62/0.83 (step @p54 :rule cnf_or_neg :args (@t38 1)) % 0.62/0.83 (step @p55 :rule eq_resolve :premises (@p54 @p53)) % 0.62/0.83 (step @p56 :rule reordering :premises (@p55) :args ((or @t35 @t38))) % 0.62/0.83 (step @p57 :rule chain_m_resolution :premises (@p56 @p50) :args (@t35 @t46 @t47)) % 0.62/0.83 (step @p58 :rule quant-merge-prenex :args ((= (forall @t15 @t60) @t58))) % 0.62/0.83 (step @p59 :rule alpha_equiv :args (@t61 (@list @t48) (@list @t4))) % 0.62/0.83 (step @p60 :rule refl :args (@t54)) % 0.62/0.83 (step @p61 :rule refl :args (@t56)) % 0.62/0.83 (step @p62 :rule nary_cong :premises (@p61 @p60 @p59) :args (@t62)) % 0.62/0.83 (step @p63 :rule quant-miniscope-or :args ((= @t60 @t62))) % 0.62/0.83 (step @p64 :rule trans :premises (@p63 @p62)) % 0.62/0.83 (step @p65 :rule symm :premises (@p64)) % 0.62/0.83 (step @p66 :rule cong :premises (@p65) :args ((forall @t15 (or @t56 @t54 @t64)))) % 0.62/0.83 (step @p67 :rule trans :premises (@p66 @p58)) % 0.62/0.83 (step @p68 :rule refl :args (@t64)) % 0.62/0.83 (step @p69 :rule refl :args (@t55)) % 0.62/0.83 (step @p70 :rule refl :args (@t12)) % 0.62/0.83 (step @p71 :rule cong :premises (@p70 @p69) :args ((= @t12 @t55))) % 0.62/0.83 (step @p72 :rule symm :premises (@p71)) % 0.62/0.83 (step @p73 :rule eq_resolve :premises (@p70 @p72)) % 0.62/0.83 (step @p74 :rule cong :premises (@p73) :args (@t65)) % 0.62/0.83 (step @p75 :rule nary_cong :premises (@p74 @p60 @p68) :args (@t66)) % 0.62/0.83 (step @p76 :rule cong :premises (@p75) :args ((forall @t15 @t66))) % 0.62/0.83 (step @p77 :rule trans :premises (@p76 @p67)) % 0.62/0.83 (step @p78 :rule aci_norm :args ((= (or (or @t65 @t54) @t64) @t66))) % 0.62/0.83 (step @p79 :rule bool-and-de-morgan :args (@t12 @t53 true)) % 0.62/0.83 (step @p80 :rule nary_cong :premises (@p79 @p68) :args ((or (not @t67) @t64))) % 0.62/0.83 (step @p81 :rule trans :premises (@p80 @p78)) % 0.62/0.83 (step @p82 :rule bool-impl-elim :args (@t67 @t64)) % 0.62/0.83 (step @p83 :rule trans :premises (@p82 @p81)) % 0.62/0.83 (step @p84 :rule cong :premises (@p83) :args ((forall @t15 (=> @t67 @t64)))) % 0.62/0.83 (step @p85 :rule trans :premises (@p84 @p77)) % 0.62/0.83 (step @p86 :rule refl :args (@t63)) % 0.62/0.83 (step @p87 :rule refl :args (@t6)) % 0.62/0.83 (step @p88 :rule cong :premises (@p87 @p86) :args ((= @t6 @t63))) % 0.62/0.83 (step @p89 :rule symm :premises (@p88)) % 0.62/0.83 (step @p90 :rule eq_resolve :premises (@p87 @p89)) % 0.62/0.83 (step @p91 :rule cong :premises (@p90) :args (@t8)) % 0.62/0.83 (step @p92 :rule refl :args ((_ @t5 @t2))) % 0.62/0.83 (step @p93 :rule refl :args (@t50)) % 0.62/0.83 (step @p94 :rule cong :premises (@p93) :args (@t51)) % 0.62/0.83 (step @p95 :rule trans :premises (@p94 @p92)) % 0.62/0.83 (step @p96 :rule refl :args (@t5)) % 0.62/0.83 (step @p97 :rule ho_cong :premises (@p96 @p93)) % 0.62/0.83 (step @p98 :rule cong :premises (@p97 @p95) :args ((= (_ @t5 @t50) @t51))) % 0.62/0.83 (step @p99 :rule symm :premises (@p98)) % 0.62/0.83 (step @p100 :rule refl :args (@t9)) % 0.62/0.83 (step @p101 :rule eq_resolve :premises (@p100 @p99)) % 0.62/0.83 (step @p102 :rule refl :args (@t2)) % 0.62/0.83 (step @p103 :rule cong :premises (@p102 @p93) :args ((= @t2 @t50))) % 0.62/0.83 (step @p104 :rule symm :premises (@p103)) % 0.62/0.83 (step @p105 :rule eq_resolve :premises (@p102 @p104)) % 0.62/0.83 (step @p106 :rule ho_cong :premises (@p96 @p105)) % 0.62/0.83 (step @p107 :rule trans :premises (@p106 @p101)) % 0.62/0.83 (step @p108 :rule refl :args (@t52)) % 0.62/0.83 (step @p109 :rule refl :args (@t10)) % 0.62/0.83 (step @p110 :rule cong :premises (@p109 @p108) :args ((= @t10 @t52))) % 0.62/0.83 (step @p111 :rule symm :premises (@p110)) % 0.62/0.83 (step @p112 :rule eq_resolve :premises (@p109 @p111)) % 0.62/0.83 (step @p113 :rule cong :premises (@p112) :args (@t68)) % 0.62/0.83 (step @p114 :rule nary_cong :premises (@p113 @p107) :args (@t69)) % 0.62/0.83 (step @p115 :rule cong :premises (@p114) :args ((forall @t3 @t69))) % 0.62/0.83 (step @p116 :rule bool-impl-elim :args (@t10 @t9)) % 0.62/0.83 (step @p117 :rule cong :premises (@p116) :args (@t11)) % 0.62/0.83 (step @p118 :rule trans :premises (@p117 @p115)) % 0.62/0.83 (step @p119 :rule refl :args (@t12)) % 0.62/0.83 (step @p120 :rule nary_cong :premises (@p119 @p118) :args (@t13)) % 0.62/0.83 (step @p121 :rule cong :premises (@p120 @p91) :args (@t14)) % 0.62/0.83 (step @p122 :rule cong :premises (@p121) :args (@t16)) % 0.62/0.83 (step @p123 :rule trans :premises (@p122 @p85)) % 0.62/0.83 (step @p124 :rule eq_resolve :premises (@p3 @p123)) % 0.62/0.83 (step @p125 :rule aci_norm :args ((= (or @t37 @t72 false) @t73))) % 0.62/0.83 (step @p126 :rule evaluate :args ((not true))) % 0.62/0.83 (step @p127 :rule eq-refl :args (@t34)) % 0.62/0.83 (step @p128 :rule cong :premises (@p127) :args (@t74)) % 0.62/0.83 (step @p129 :rule trans :premises (@p128 @p126)) % 0.62/0.83 (step @p130 :rule beta-reduce :args ((= @t77 @t74))) % 0.62/0.83 (step @p131 :rule trans :premises (@p130 @p129)) % 0.62/0.83 (step @p132 :rule eq-symm :args (@t34 @t50)) % 0.62/0.83 (step @p133 :rule cong :premises (@p132) :args (@t78)) % 0.62/0.83 (step @p134 :rule beta-reduce :args ((= @t79 @t78))) % 0.62/0.83 (step @p135 :rule trans :premises (@p134 @p133)) % 0.62/0.83 (step @p136 :rule bool-double-not-elim :args (@t70)) % 0.62/0.83 (step @p137 :rule eq-symm :args (@t34 @t1)) % 0.62/0.83 (step @p138 :rule cong :premises (@p137) :args (@t80)) % 0.62/0.83 (step @p139 :rule beta-reduce :args ((= @t81 @t80))) % 0.62/0.83 (step @p140 :rule trans :premises (@p139 @p138)) % 0.62/0.83 (step @p141 :rule cong :premises (@p140) :args (@t82)) % 0.62/0.83 (step @p142 :rule trans :premises (@p141 @p136)) % 0.62/0.83 (step @p143 :rule nary_cong :premises (@p142 @p135) :args (@t83)) % 0.62/0.83 (step @p144 :rule cong :premises (@p143) :args (@t84)) % 0.62/0.83 (step @p145 :rule cong :premises (@p144) :args (@t85)) % 0.62/0.83 (step @p146 :rule bool-double-not-elim :args (@t37)) % 0.62/0.83 (step @p147 :rule eq-symm :args (@t34 tptp.one)) % 0.62/0.83 (step @p148 :rule cong :premises (@p147) :args (@t86)) % 0.62/0.83 (step @p149 :rule beta-reduce :args ((= @t87 @t86))) % 0.62/0.83 (step @p150 :rule trans :premises (@p149 @p148)) % 0.62/0.83 (step @p151 :rule cong :premises (@p150) :args (@t88)) % 0.62/0.83 (step @p152 :rule trans :premises (@p151 @p146)) % 0.62/0.83 (step @p153 :rule nary_cong :premises (@p152 @p145 @p131) :args (@t89)) % 0.62/0.83 (step @p154 :rule trans :premises (@p153 @p125)) % 0.62/0.83 (step @p155 :rule refl :args (@t58)) % 0.62/0.83 (step @p156 :rule cong :premises (@p155 @p154) :args ((=> @t58 @t89))) % 0.62/0.83 (assume-push @p205 @t58) % 0.62/0.83 (step @p158 :rule instantiate :premises (@p124) :args ((@list @t76 @t34))) % 0.62/0.83 (step-pop @p206 :rule scope :premises (@p158)) % 0.62/0.83 (step @p159 :rule process_scope :premises (@p206) :args (@t89)) % 0.62/0.83 (step @p161 :rule eq_resolve :premises (@p159 @p156)) % 0.62/0.83 (step @p162 :rule implies_elim :premises (@p161)) % 0.62/0.83 (step @p163 :rule chain_m_resolution :premises (@p162 @p124) :args (@t73 (@list false) (@list @t58))) % 0.62/0.83 (step @p164 :rule cnf_or_neg :args (@t38 0)) % 0.62/0.83 (step @p165 :rule chain_m_resolution :premises (@p164 @p50) :args ((not @t37) @t46 @t47)) % 0.62/0.84 (step @p166 :rule cnf_or_pos :args (@t73)) % 0.62/0.84 (step @p167 :rule reordering :premises (@p166) :args ((or @t37 @t72 (not @t73)))) % 0.62/0.84 (step @p168 :rule chain_m_resolution :premises (@p167 @p165 @p163) :args (@t72 (@list true false) (@list @t37 @t73))) % 0.62/0.84 (step @p169 :rule refl :args (@t95)) % 0.62/0.84 (step @p170 :rule bool-double-not-elim :args (@t71)) % 0.62/0.84 (step @p171 :rule nary_cong :premises (@p170 @p169) :args ((or (not @t72) @t95))) % 0.62/0.84 (step @p172 :rule eq-symm :args (@t91 @t34)) % 0.62/0.84 (step @p173 :rule cong :premises (@p172) :args (@t96)) % 0.62/0.84 (step @p174 :rule eq-symm :args (@t90 @t34)) % 0.62/0.84 (step @p175 :rule nary_cong :premises (@p174 @p173) :args (@t97)) % 0.62/0.84 (step @p176 :rule cong :premises (@p175) :args (@t98)) % 0.62/0.84 (step @p177 :rule refl :args (@t72)) % 0.62/0.84 (step @p178 :rule cong :premises (@p177 @p176) :args ((=> @t72 @t98))) % 0.62/0.84 (assume-push @p207 @t72) % 0.62/0.84 (step @p180 :rule skolemize :premises (@p168)) % 0.62/0.84 (step-pop @p208 :rule scope :premises (@p180)) % 0.62/0.84 (step @p181 :rule process_scope :premises (@p208) :args (@t98)) % 0.62/0.84 (step @p183 :rule eq_resolve :premises (@p181 @p178)) % 0.62/0.84 (step @p184 :rule implies_elim :premises (@p183)) % 0.62/0.84 (step @p185 :rule eq_resolve :premises (@p184 @p171)) % 0.62/0.84 (step @p186 :rule chain_m_resolution :premises (@p185 @p168) :args (@t95 @t46 (@list @t71))) % 0.62/0.84 (step @p187 :rule bool-double-not-elim :args (@t92)) % 0.62/0.84 (step @p188 :rule refl :args (@t94)) % 0.62/0.84 (step @p189 :rule nary_cong :premises (@p188 @p187) :args ((or @t94 (not @t93)))) % 0.62/0.84 (step @p190 :rule cnf_or_neg :args (@t94 1)) % 0.62/0.84 (step @p191 :rule eq_resolve :premises (@p190 @p189)) % 0.62/0.84 (step @p192 :rule reordering :premises (@p191) :args ((or @t92 @t94))) % 0.62/0.84 (step @p193 :rule chain_m_resolution :premises (@p192 @p186) :args (@t92 @t46 (@list @t94))) % 0.62/0.84 (step @p194 :rule refl :args (@t35)) % 0.62/0.84 (step @p195 :rule cong :premises (@p194 @p173) :args ((=> @t35 @t96))) % 0.62/0.84 (assume-push @p209 @t35) % 0.62/0.84 (step @p197 :rule instantiate :premises (@p57) :args ((@list @t90))) % 0.62/0.84 (step-pop @p210 :rule scope :premises (@p197)) % 0.62/0.84 (step @p198 :rule process_scope :premises (@p210) :args (@t96)) % 0.62/0.84 (step @p200 :rule eq_resolve :premises (@p198 @p195)) % 0.62/0.84 (step @p201 :rule implies_elim :premises (@p200)) % 0.62/0.84 (step @p202 false :rule chain_m_resolution :premises (@p201 @p193 @p57) :args (false (@list false false) (@list @t92 @t35))) % 0.62/0.84 ) % 0.62/0.84 % SZS output end Proof % 0.62/0.84 % cvc5 exiting %------------------------------------------------------------------------------