%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU549^2 : 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 : 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 08:52:09 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU549^2 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.34 % Computer : n019.cluster.edu % 0.19/0.34 % Model : x86_64 x86_64 % 0.19/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.34 % Memory : 8042.1875MB % 0.19/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.34 % CPULimit : 300 % 0.19/0.34 % WCLimit : 300 % 0.19/0.34 % DateTime : Tue Jun 2 17:41:34 EDT 2026 % 0.19/0.35 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.38/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 0.38/0.57 (define @t1 () (@var "Xy" $$unsorted)) % 0.38/0.57 (define @t2 () (@var "Xx" $$unsorted)) % 0.38/0.57 (define @t3 () (= @t2 @t1)) % 0.38/0.57 (define @t4 () (@var "Xphi" (-> $$unsorted Bool))) % 0.38/0.57 (define @t5 () (_ @t4 @t1)) % 0.38/0.57 (define @t6 () (=> @t5 @t3)) % 0.38/0.57 (define @t7 () (_ @t4 @t2)) % 0.38/0.57 (define @t8 () (@list @t2 @t1)) % 0.38/0.57 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.38/0.57 (define @t10 () (@list @t2)) % 0.38/0.57 (define @t11 () (lambda @t10 @t7)) % 0.38/0.57 (define @t12 () (=> (_ tptp.exu @t11) @t9)) % 0.38/0.57 (define @t13 () (@list @t4)) % 0.38/0.57 (define @t14 () (forall @t13 @t12)) % 0.38/0.57 (define @t15 () (not @t14)) % 0.38/0.57 (define @t16 () (@list @t1)) % 0.38/0.57 (define @t17 () (forall @t16 @t6)) % 0.38/0.57 (define @t18 () (and @t7 @t17)) % 0.38/0.57 (define @t19 () (exists @t10 @t18)) % 0.38/0.57 (define @t20 () (lambda @t13 @t19)) % 0.38/0.57 (define @t21 () (@var "BOUND_VARIABLE_7496" $$unsorted)) % 0.38/0.57 (define @t22 () (@var "BOUND_VARIABLE_7494" $$unsorted)) % 0.38/0.57 (define @t23 () (= @t22 @t21)) % 0.38/0.57 (define @t24 () (not (_ @t4 @t21))) % 0.38/0.57 (define @t25 () (not (_ @t4 @t22))) % 0.38/0.57 (define @t26 () (@var "BOUND_VARIABLE_7485" $$unsorted)) % 0.38/0.57 (define @t27 () (_ @t4 @t1)) % 0.38/0.57 (define @t28 () (not @t27)) % 0.38/0.57 (define @t29 () (or @t28 (= @t26 @t1))) % 0.38/0.57 (define @t30 () (forall @t16 @t29)) % 0.38/0.57 (define @t31 () (not @t30)) % 0.38/0.57 (define @t32 () (not (_ @t4 @t26))) % 0.38/0.57 (define @t33 () (or @t32 @t31 @t25 @t24 @t23)) % 0.38/0.57 (define @t34 () (or @t25 @t24 @t23)) % 0.38/0.57 (define @t35 () (or @t32 @t31)) % 0.38/0.57 (define @t36 () (or @t35 @t34)) % 0.38/0.57 (define @t37 () (@list @t4 @t26 @t22 @t21)) % 0.38/0.57 (define @t38 () (forall @t37 @t36)) % 0.38/0.57 (define @t39 () (forall (@list @t26 @t22 @t21) @t36)) % 0.38/0.57 (define @t40 () (forall (@list @t22 @t21) @t34)) % 0.38/0.57 (define @t41 () (forall (@list @t26) @t35)) % 0.38/0.57 (define @t42 () (or @t41 @t40)) % 0.38/0.57 (define @t43 () (_ @t4 @t2)) % 0.38/0.57 (define @t44 () (not @t43)) % 0.38/0.57 (define @t45 () (forall @t8 (or @t44 @t28 @t3))) % 0.38/0.57 (define @t46 () (forall @t16 (or @t28 @t3))) % 0.38/0.57 (define @t47 () (not @t46)) % 0.38/0.57 (define @t48 () (forall @t10 (or @t44 @t47))) % 0.38/0.57 (define @t49 () (not @t48)) % 0.38/0.57 (define @t50 () (not @t5)) % 0.38/0.57 (define @t51 () (not @t7)) % 0.38/0.57 (define @t52 () (or @t51 @t50 @t3)) % 0.38/0.57 (define @t53 () (or @t50 @t3)) % 0.38/0.57 (define @t54 () (or @t51 @t47)) % 0.38/0.57 (define @t55 () (_ @t11 @t1)) % 0.38/0.57 (define @t56 () (not @t55)) % 0.38/0.57 (define @t57 () (or @t56 @t3)) % 0.38/0.57 (define @t58 () (forall @t16 @t57)) % 0.38/0.57 (define @t59 () (not @t58)) % 0.38/0.57 (define @t60 () (_ @t11 @t2)) % 0.38/0.57 (define @t61 () (not @t60)) % 0.38/0.57 (define @t62 () (or @t61 @t59)) % 0.38/0.57 (define @t63 () (forall @t10 @t62)) % 0.38/0.57 (define @t64 () (not @t63)) % 0.38/0.57 (define @t65 () (_ (lambda @t13 @t49) @t11)) % 0.38/0.57 (define @t66 () (=> @t65 @t9)) % 0.38/0.57 (define @t67 () (forall @t13 @t66)) % 0.38/0.57 (define @t68 () (and @t7 @t46)) % 0.38/0.57 (define @t69 () (forall @t10 (not @t68))) % 0.38/0.57 (define @t70 () (not @t69)) % 0.38/0.57 (define @t71 () (forall @t37 (or @t32 (not (forall @t16 (or @t28 (= @t1 @t26)))) @t25 @t24 @t23))) % 0.38/0.57 (define @t72 () (@quantifiers_skolemize @t71 3)) % 0.38/0.57 (define @t73 () (@quantifiers_skolemize @t71 2)) % 0.38/0.57 (define @t74 () (= @t73 @t72)) % 0.38/0.57 (define @t75 () (@quantifiers_skolemize @t71 0)) % 0.38/0.57 (define @t76 () (_ @t75 @t72)) % 0.38/0.57 (define @t77 () (not @t76)) % 0.38/0.57 (define @t78 () (_ @t75 @t73)) % 0.38/0.57 (define @t79 () (not @t78)) % 0.38/0.57 (define @t80 () (@quantifiers_skolemize @t71 1)) % 0.38/0.57 (define @t81 () (forall @t16 (or (not (_ @t75 @t1)) (= @t1 @t80)))) % 0.38/0.57 (define @t82 () (not @t81)) % 0.38/0.57 (define @t83 () (or (not (_ @t75 @t80)) @t82 @t79 @t77 @t74)) % 0.38/0.57 (define @t84 () (not @t74)) % 0.38/0.57 (define @t85 () (@list true)) % 0.38/0.57 (define @t86 () (@list @t83)) % 0.38/0.57 (define @t87 () (or @t79 (= @t73 @t80))) % 0.38/0.57 (define @t88 () (= @t80 @t73)) % 0.38/0.57 (define @t89 () (or @t79 @t88)) % 0.38/0.57 (define @t90 () (@list false)) % 0.38/0.57 (define @t91 () (@list @t81)) % 0.38/0.57 (define @t92 () (@list false false)) % 0.38/0.57 (define @t93 () (or @t77 (= @t72 @t80))) % 0.38/0.57 (define @t94 () (= @t80 @t72)) % 0.38/0.57 (define @t95 () (or @t77 @t94)) % 0.38/0.57 (define @t96 () (not @t94)) % 0.38/0.57 (define @t97 () (not @t88)) % 0.38/0.57 (define @t98 () (and @t84 @t88)) % 0.38/0.57 (assume @p1 @t15) % 0.38/0.57 (assume @p2 true) % 0.38/0.57 (step @p3 (= tptp.exu @t20) :rule refl :args (@t20)) % 0.38/0.57 (step @p4 :rule refl :args (@t23)) % 0.38/0.57 (step @p5 :rule refl :args (@t24)) % 0.38/0.57 (step @p6 :rule refl :args (@t25)) % 0.38/0.57 (step @p7 :rule eq-symm :args (@t26 @t1)) % 0.38/0.57 (step @p8 :rule refl :args (@t28)) % 0.38/0.57 (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t29)) % 0.38/0.57 (step @p10 :rule cong :premises (@p9) :args (@t30)) % 0.38/0.57 (step @p11 :rule cong :premises (@p10) :args (@t31)) % 0.38/0.57 (step @p12 :rule refl :args (@t32)) % 0.38/0.57 (step @p13 :rule nary_cong :premises (@p12 @p11 @p6 @p5 @p4) :args (@t33)) % 0.38/0.57 (step @p14 :rule aci_norm :args ((= @t36 @t33))) % 0.38/0.57 (step @p15 :rule trans :premises (@p14 @p13)) % 0.38/0.57 (step @p16 :rule cong :premises (@p15) :args (@t38)) % 0.38/0.57 (step @p17 :rule quant-merge-prenex :args ((= (forall @t13 @t39) @t38))) % 0.38/0.57 (step @p18 :rule alpha_equiv :args (@t40 (@list @t22 @t21) (@list @t2 @t1))) % 0.38/0.57 (step @p19 :rule alpha_equiv :args (@t41 (@list @t26) (@list @t2))) % 0.38/0.57 (step @p20 :rule nary_cong :premises (@p19 @p18) :args (@t42)) % 0.38/0.57 (step @p21 :rule quant-miniscope-or :args ((= @t39 @t42))) % 0.38/0.57 (step @p22 :rule trans :premises (@p21 @p20)) % 0.38/0.57 (step @p23 :rule symm :premises (@p22)) % 0.38/0.57 (step @p24 :rule cong :premises (@p23) :args ((forall @t13 (or @t48 @t45)))) % 0.38/0.57 (step @p25 :rule trans :premises (@p24 @p17)) % 0.38/0.57 (step @p26 :rule trans :premises (@p25 @p16)) % 0.38/0.57 (step @p27 :rule refl :args (@t45)) % 0.38/0.57 (step @p28 :rule bool-double-not-elim :args (@t48)) % 0.38/0.57 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or (not @t49) @t45))) % 0.38/0.57 (step @p30 :rule bool-impl-elim :args (@t49 @t45)) % 0.38/0.57 (step @p31 :rule trans :premises (@p30 @p29)) % 0.38/0.57 (step @p32 :rule cong :premises (@p31) :args ((forall @t13 (=> @t49 @t45)))) % 0.38/0.57 (step @p33 :rule trans :premises (@p32 @p26)) % 0.38/0.57 (step @p34 :rule refl :args (@t3)) % 0.38/0.57 (step @p35 :rule refl :args (@t27)) % 0.38/0.57 (step @p36 :rule refl :args (@t5)) % 0.38/0.57 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t5 @t27))) % 0.38/0.57 (step @p38 :rule symm :premises (@p37)) % 0.38/0.57 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.38/0.57 (step @p40 :rule cong :premises (@p39) :args (@t50)) % 0.38/0.57 (step @p41 :rule refl :args (@t43)) % 0.38/0.57 (step @p42 :rule refl :args (@t7)) % 0.38/0.57 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t7 @t43))) % 0.38/0.57 (step @p44 :rule symm :premises (@p43)) % 0.38/0.57 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.38/0.57 (step @p46 :rule cong :premises (@p45) :args (@t51)) % 0.38/0.57 (step @p47 :rule nary_cong :premises (@p46 @p40 @p34) :args (@t52)) % 0.38/0.57 (step @p48 :rule cong :premises (@p47) :args ((forall @t8 @t52))) % 0.38/0.57 (step @p49 :rule aci_norm :args ((= (or @t51 @t53) @t52))) % 0.38/0.57 (step @p50 :rule bool-impl-elim :args (@t5 @t3)) % 0.38/0.57 (step @p51 :rule refl :args (@t51)) % 0.38/0.57 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t51 @t6))) % 0.38/0.57 (step @p53 :rule trans :premises (@p52 @p49)) % 0.38/0.57 (step @p54 :rule bool-impl-elim :args (@t7 @t6)) % 0.38/0.57 (step @p55 :rule trans :premises (@p54 @p53)) % 0.38/0.57 (step @p56 :rule cong :premises (@p55) :args (@t9)) % 0.38/0.57 (step @p57 :rule trans :premises (@p56 @p48)) % 0.38/0.57 (step @p58 :rule refl :args (@t47)) % 0.38/0.57 (step @p59 :rule nary_cong :premises (@p46 @p58) :args (@t54)) % 0.38/0.57 (step @p60 :rule cong :premises (@p59) :args ((forall @t10 @t54))) % 0.38/0.57 (step @p61 :rule nary_cong :premises (@p40 @p34) :args (@t53)) % 0.38/0.57 (step @p62 :rule cong :premises (@p61) :args ((forall @t16 @t53))) % 0.38/0.57 (step @p63 :rule refl :args (@t3)) % 0.38/0.57 (step @p64 :rule beta-reduce :args ((= @t55 @t5))) % 0.38/0.57 (step @p65 :rule cong :premises (@p64) :args (@t56)) % 0.38/0.57 (step @p66 :rule nary_cong :premises (@p65 @p63) :args (@t57)) % 0.38/0.57 (step @p67 :rule cong :premises (@p66) :args (@t58)) % 0.38/0.57 (step @p68 :rule trans :premises (@p67 @p62)) % 0.38/0.57 (step @p69 :rule cong :premises (@p68) :args (@t59)) % 0.38/0.57 (step @p70 :rule beta-reduce :args ((= @t60 @t7))) % 0.38/0.57 (step @p71 :rule cong :premises (@p70) :args (@t61)) % 0.38/0.57 (step @p72 :rule nary_cong :premises (@p71 @p69) :args (@t62)) % 0.38/0.57 (step @p73 :rule cong :premises (@p72) :args (@t63)) % 0.38/0.57 (step @p74 :rule trans :premises (@p73 @p60)) % 0.38/0.57 (step @p75 :rule cong :premises (@p74) :args (@t64)) % 0.38/0.57 (step @p76 :rule beta-reduce :args ((= @t65 @t64))) % 0.38/0.57 (step @p77 :rule trans :premises (@p76 @p75)) % 0.38/0.57 (step @p78 :rule cong :premises (@p77 @p57) :args (@t66)) % 0.38/0.57 (step @p79 :rule cong :premises (@p78) :args (@t67)) % 0.38/0.57 (step @p80 :rule trans :premises (@p79 @p33)) % 0.38/0.57 (step @p81 :rule cong :premises (@p80) :args ((not @t67))) % 0.38/0.57 (step @p82 :rule refl :args (@t9)) % 0.38/0.57 (step @p83 :rule refl :args (@t11)) % 0.38/0.57 (step @p84 :rule bool-and-de-morgan :args (@t7 @t46 true)) % 0.38/0.57 (step @p85 :rule cong :premises (@p84) :args (@t69)) % 0.38/0.57 (step @p86 :rule trans :premises (@p85 @p60)) % 0.38/0.57 (step @p87 :rule cong :premises (@p86) :args (@t70)) % 0.38/0.57 (step @p88 :rule exists-elim :args ((= (exists @t10 @t68) @t70))) % 0.38/0.57 (step @p89 :rule trans :premises (@p88 @p87)) % 0.38/0.57 (step @p90 :rule cong :premises (@p50) :args (@t17)) % 0.38/0.57 (step @p91 :rule trans :premises (@p90 @p62)) % 0.38/0.57 (step @p92 :rule refl :args (@t7)) % 0.38/0.57 (step @p93 :rule nary_cong :premises (@p92 @p91) :args (@t18)) % 0.38/0.57 (step @p94 :rule cong :premises (@p93) :args (@t19)) % 0.38/0.57 (step @p95 :rule trans :premises (@p94 @p89)) % 0.38/0.57 (step @p96 :rule cong :premises (@p95) :args (@t20)) % 0.38/0.57 (step @p97 :rule trans :premises (@p3 @p96)) % 0.38/0.57 (step @p98 :rule ho_cong :premises (@p97 @p83)) % 0.38/0.57 (step @p99 :rule cong :premises (@p98 @p82) :args (@t12)) % 0.38/0.57 (step @p100 :rule cong :premises (@p99) :args (@t14)) % 0.38/0.57 (step @p101 :rule cong :premises (@p100) :args (@t15)) % 0.38/0.57 (step @p102 :rule trans :premises (@p101 @p81)) % 0.38/0.57 (step @p103 :rule eq_resolve :premises (@p1 @p102)) % 0.38/0.57 (step @p104 :rule skolemize :premises (@p103)) % 0.38/0.57 (step @p105 :rule cnf_or_neg :args (@t83 4)) % 0.38/0.57 (step @p106 :rule chain_m_resolution :premises (@p105 @p104) :args (@t84 @t85 @t86)) % 0.38/0.57 (step @p107 :rule bool-double-not-elim :args (@t81)) % 0.38/0.57 (step @p108 :rule refl :args (@t83)) % 0.38/0.57 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or @t83 (not @t82)))) % 0.38/0.57 (step @p110 :rule cnf_or_neg :args (@t83 1)) % 0.38/0.57 (step @p111 :rule eq_resolve :premises (@p110 @p109)) % 0.38/0.57 (step @p112 :rule reordering :premises (@p111) :args ((or @t81 @t83))) % 0.38/0.57 (step @p113 :rule chain_m_resolution :premises (@p112 @p104) :args (@t81 @t85 @t86)) % 0.38/0.57 (step @p114 :rule eq-symm :args (@t73 @t80)) % 0.38/0.57 (step @p115 :rule refl :args (@t79)) % 0.38/0.57 (step @p116 :rule nary_cong :premises (@p115 @p114) :args (@t87)) % 0.38/0.57 (step @p117 :rule refl :args (@t81)) % 0.38/0.57 (step @p118 :rule cong :premises (@p117 @p116) :args ((=> @t81 @t87))) % 0.38/0.57 (assume-push @p174 @t81) % 0.38/0.57 (step @p120 :rule instantiate :premises (@p113) :args ((@list @t73))) % 0.38/0.57 (step-pop @p175 :rule scope :premises (@p120)) % 0.38/0.57 (step @p121 :rule process_scope :premises (@p175) :args (@t87)) % 0.38/0.57 (step @p123 :rule eq_resolve :premises (@p121 @p118)) % 0.38/0.57 (step @p124 :rule implies_elim :premises (@p123)) % 0.38/0.57 (step @p125 :rule chain_m_resolution :premises (@p124 @p113) :args (@t89 @t90 @t91)) % 0.38/0.57 (step @p126 :rule bool-double-not-elim :args (@t78)) % 0.38/0.57 (step @p127 :rule nary_cong :premises (@p108 @p126) :args ((or @t83 (not @t79)))) % 0.38/0.57 (step @p128 :rule cnf_or_neg :args (@t83 2)) % 0.38/0.57 (step @p129 :rule eq_resolve :premises (@p128 @p127)) % 0.38/0.57 (step @p130 :rule reordering :premises (@p129) :args ((or @t78 @t83))) % 0.38/0.57 (step @p131 :rule chain_m_resolution :premises (@p130 @p104) :args (@t78 @t85 @t86)) % 0.38/0.57 (step @p132 :rule cnf_or_pos :args (@t89)) % 0.38/0.57 (step @p133 :rule reordering :premises (@p132) :args ((or @t79 @t88 (not @t89)))) % 0.38/0.57 (step @p134 :rule chain_m_resolution :premises (@p133 @p131 @p125) :args (@t88 @t92 (@list @t78 @t89))) % 0.38/0.57 (step @p135 :rule eq-symm :args (@t72 @t80)) % 0.38/0.57 (step @p136 :rule refl :args (@t77)) % 0.38/0.57 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t93)) % 0.38/0.57 (step @p138 :rule cong :premises (@p117 @p137) :args ((=> @t81 @t93))) % 0.38/0.57 (assume-push @p176 @t81) % 0.38/0.57 (step @p140 :rule instantiate :premises (@p113) :args ((@list @t72))) % 0.38/0.57 (step-pop @p177 :rule scope :premises (@p140)) % 0.38/0.57 (step @p141 :rule process_scope :premises (@p177) :args (@t93)) % 0.38/0.57 (step @p143 :rule eq_resolve :premises (@p141 @p138)) % 0.38/0.57 (step @p144 :rule implies_elim :premises (@p143)) % 0.38/0.57 (step @p145 :rule chain_m_resolution :premises (@p144 @p113) :args (@t95 @t90 @t91)) % 0.38/0.57 (step @p146 :rule bool-double-not-elim :args (@t76)) % 0.38/0.57 (step @p147 :rule nary_cong :premises (@p108 @p146) :args ((or @t83 (not @t77)))) % 0.38/0.57 (step @p148 :rule cnf_or_neg :args (@t83 3)) % 0.38/0.57 (step @p149 :rule eq_resolve :premises (@p148 @p147)) % 0.38/0.57 (step @p150 :rule reordering :premises (@p149) :args ((or @t76 @t83))) % 0.38/0.57 (step @p151 :rule chain_m_resolution :premises (@p150 @p104) :args (@t76 @t85 @t86)) % 0.38/0.57 (step @p152 :rule cnf_or_pos :args (@t95)) % 0.38/0.57 (step @p153 :rule reordering :premises (@p152) :args ((or @t77 @t94 (not @t95)))) % 0.38/0.57 (step @p154 :rule chain_m_resolution :premises (@p153 @p151 @p145) :args (@t94 @t92 (@list @t76 @t95))) % 0.38/0.57 (step @p155 :rule refl :args (@t96)) % 0.38/0.57 (step @p156 :rule refl :args (@t97)) % 0.38/0.57 (step @p157 :rule bool-double-not-elim :args (@t74)) % 0.38/0.57 (step @p158 :rule nary_cong :premises (@p157 @p156 @p155) :args ((or (not @t84) @t97 @t96))) % 0.38/0.57 (assume-push @p178 @t84) % 0.38/0.57 (assume-push @p179 @t88) % 0.38/0.57 (step @p161 :rule false_intro :premises (@p106)) % 0.38/0.57 (step @p162 :rule refl :args (@t72)) % 0.38/0.57 (step @p163 :rule cong :premises (@p134 @p162) :args (@t94)) % 0.38/0.57 (step @p164 :rule trans :premises (@p163 @p161)) % 0.38/0.57 (step @p165 :rule false_elim :premises (@p164)) % 0.38/0.57 (step-pop @p180 :rule scope :premises (@p165)) % 0.38/0.57 (step-pop @p181 :rule scope :premises (@p180)) % 0.38/0.57 (step @p166 :rule process_scope :premises (@p181) :args (@t96)) % 0.38/0.57 (step @p169 :rule implies_elim :premises (@p166)) % 0.38/0.57 (step @p170 :rule cnf_and_neg :args (@t98)) % 0.38/0.57 (step @p171 :rule resolution :premises (@p170 @p169) :args (true @t98)) % 0.38/0.57 (step @p172 :rule eq_resolve :premises (@p171 @p158)) % 0.38/0.57 (step @p173 false :rule chain_m_resolution :premises (@p172 @p154 @p134 @p106) :args (false (@list false false true) (@list @t94 @t88 @t74))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------