%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU603^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:52:22 AM UTC 2026 % Result : Theorem 0.40s 0.57s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU603^2 : TPTP v9.2.1. Released v3.7.0. % 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 : n017.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 17:41:31 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.40/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.57 % SZS status Theorem % 0.40/0.57 % SZS output start Proof % 0.40/0.57 ( % 0.40/0.57 (declare-sort $$unsorted 0) % 0.40/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.40/0.57 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.40/0.57 (declare-const tptp.dsetconstrER Bool) % 0.40/0.57 (define tptp.setminus () (let ((_let_1 (@var "B" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_1) (_ (_ tptp.dsetconstr _let_3) (lambda (@list _let_2) (not (_ (_ tptp.in _let_2) _let_1))))))))) % 0.40/0.57 (define @t1 () (@var "Xx" $$unsorted)) % 0.40/0.57 (define @t2 () (@var "Xphi" (-> $$unsorted Bool))) % 0.40/0.57 (define @t3 () (_ @t2 @t1)) % 0.40/0.57 (define @t4 () (@var "Xy" $$unsorted)) % 0.40/0.57 (define @t5 () (_ @t2 @t4)) % 0.40/0.57 (define @t6 () (@list @t4)) % 0.40/0.57 (define @t7 () (lambda @t6 @t5)) % 0.40/0.57 (define @t8 () (@var "A" $$unsorted)) % 0.40/0.57 (define @t9 () (_ tptp.dsetconstr @t8)) % 0.40/0.57 (define @t10 () (_ @t9 @t7)) % 0.40/0.57 (define @t11 () (_ tptp.in @t1)) % 0.40/0.57 (define @t12 () (_ @t11 @t10)) % 0.40/0.57 (define @t13 () (@list @t8 @t2 @t1)) % 0.40/0.57 (define @t14 () (forall @t13 (=> @t12 @t3))) % 0.40/0.57 (define @t15 () (= tptp.dsetconstrER @t14)) % 0.40/0.57 (define @t16 () (@var "B" $$unsorted)) % 0.40/0.57 (define @t17 () (_ @t11 @t16)) % 0.40/0.57 (define @t18 () (not @t17)) % 0.40/0.57 (define @t19 () (=> (_ @t11 (_ (_ tptp.setminus @t8) @t16)) @t18)) % 0.40/0.57 (define @t20 () (@list @t8 @t16 @t1)) % 0.40/0.57 (define @t21 () (forall @t20 @t19)) % 0.40/0.57 (define @t22 () (=> tptp.dsetconstrER @t21)) % 0.40/0.57 (define @t23 () (not @t22)) % 0.40/0.57 (define @t24 () (lambda (@list @t1) @t18)) % 0.40/0.57 (define @t25 () (_ @t9 @t24)) % 0.40/0.57 (define @t26 () (lambda (@list @t8 @t16) @t25)) % 0.40/0.57 (define @t27 () (tptp.in @t1 @t16)) % 0.40/0.57 (define @t28 () (@var "BOUND_VARIABLE_7485" $$unsorted)) % 0.40/0.57 (define @t29 () (tptp.in @t28 @t16)) % 0.40/0.57 (define @t30 () (not @t29)) % 0.40/0.57 (define @t31 () (@list @t28)) % 0.40/0.57 (define @t32 () (lambda @t31 @t30)) % 0.40/0.57 (define @t33 () (tptp.dsetconstr @t8 @t32)) % 0.40/0.57 (define @t34 () (tptp.in @t1 @t33)) % 0.40/0.57 (define @t35 () (forall @t20 (or (not @t34) (not @t27)))) % 0.40/0.57 (define @t36 () (_ @t2 @t1)) % 0.40/0.57 (define @t37 () (_ @t2 @t4)) % 0.40/0.57 (define @t38 () (lambda @t6 @t37)) % 0.40/0.57 (define @t39 () (tptp.dsetconstr @t8 @t38)) % 0.40/0.57 (define @t40 () (tptp.in @t1 @t39)) % 0.40/0.57 (define @t41 () (not @t40)) % 0.40/0.57 (define @t42 () (or @t41 @t36)) % 0.40/0.57 (define @t43 () (not @t12)) % 0.40/0.57 (define @t44 () (or @t43 @t3)) % 0.40/0.57 (define @t45 () (=> tptp.dsetconstrER @t35)) % 0.40/0.57 (define @t46 () (_ (_ tptp.in @t28) @t16)) % 0.40/0.57 (define @t47 () (not @t46)) % 0.40/0.57 (define @t48 () (lambda @t31 @t47)) % 0.40/0.57 (define @t49 () (_ @t9 @t48)) % 0.40/0.57 (define @t50 () (_ @t11 @t49)) % 0.40/0.57 (define @t51 () (not @t50)) % 0.40/0.57 (define @t52 () (or @t51 @t18)) % 0.40/0.57 (define @t53 () (=> (_ @t11 @t25) @t18)) % 0.40/0.57 (define @t54 () (lambda (@list @t16) @t25)) % 0.40/0.57 (define @t55 () (_ @t26 @t8)) % 0.40/0.57 (define @t56 () (=> (_ @t11 (_ @t55 @t16)) @t18)) % 0.40/0.57 (define @t57 () (forall @t20 @t56)) % 0.40/0.57 (define @t58 () (=> tptp.dsetconstrER @t57)) % 0.40/0.57 (define @t59 () (@quantifiers_skolemize @t35 1)) % 0.40/0.57 (define @t60 () (@quantifiers_skolemize @t35 2)) % 0.40/0.57 (define @t61 () (tptp.in @t60 @t59)) % 0.40/0.57 (define @t62 () (not @t61)) % 0.40/0.57 (define @t63 () (not (tptp.in @t28 @t59))) % 0.40/0.57 (define @t64 () (lambda @t31 @t63)) % 0.40/0.57 (define @t65 () (@purify @t64)) % 0.40/0.57 (define @t66 () (@quantifiers_skolemize @t35 0)) % 0.40/0.57 (define @t67 () (tptp.in @t60 (tptp.dsetconstr @t66 @t65))) % 0.40/0.57 (define @t68 () (not @t67)) % 0.40/0.57 (define @t69 () (or @t68 @t62)) % 0.40/0.57 (define @t70 () (not @t69)) % 0.40/0.57 (define @t71 () (not @t35)) % 0.40/0.57 (define @t72 () (tptp.dsetconstr @t66 @t64)) % 0.40/0.57 (define @t73 () (tptp.in @t60 @t72)) % 0.40/0.57 (define @t74 () (not @t73)) % 0.40/0.57 (define @t75 () (or @t74 @t62)) % 0.40/0.57 (define @t76 () (not @t75)) % 0.40/0.57 (define @t77 () (@list true)) % 0.40/0.57 (define @t78 () (@list @t69)) % 0.40/0.57 (define @t79 () (_ @t65 @t28)) % 0.40/0.57 (define @t80 () (_ @t64 @t28)) % 0.40/0.57 (define @t81 () (= @t79 @t80)) % 0.40/0.57 (define @t82 () (forall @t31 @t81)) % 0.40/0.57 (define @t83 () (_ @t65 @t60)) % 0.40/0.57 (define @t84 () (or @t68 @t83)) % 0.40/0.57 (define @t85 () (= @t62 @t83)) % 0.40/0.57 (assume @p1 @t15) % 0.40/0.57 (assume @p2 @t23) % 0.40/0.57 (assume @p3 true) % 0.40/0.57 (step @p4 (= tptp.setminus @t26) :rule refl :args (@t26)) % 0.40/0.57 (step @p5 :rule refl :args (@t35)) % 0.40/0.57 (step @p6 :rule refl :args (@t36)) % 0.40/0.57 (step @p7 :rule lambda-elim :args ((= @t38 @t2))) % 0.40/0.57 (step @p8 :rule refl :args (@t8)) % 0.40/0.57 (step @p9 :rule cong :premises (@p8 @p7) :args (@t39)) % 0.40/0.57 (step @p10 :rule refl :args (@t1)) % 0.40/0.57 (step @p11 :rule cong :premises (@p10 @p9) :args (@t40)) % 0.40/0.57 (step @p12 :rule cong :premises (@p11) :args (@t41)) % 0.40/0.57 (step @p13 :rule nary_cong :premises (@p12 @p6) :args (@t42)) % 0.40/0.57 (step @p14 :rule cong :premises (@p13) :args ((forall @t13 @t42))) % 0.40/0.57 (step @p15 :rule refl :args (@t36)) % 0.40/0.57 (step @p16 :rule refl :args (@t3)) % 0.40/0.57 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t3 @t36))) % 0.40/0.57 (step @p18 :rule symm :premises (@p17)) % 0.40/0.57 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.40/0.57 (step @p20 :rule refl :args ((tptp.in @t1 @t10))) % 0.40/0.57 (step @p21 :rule refl :args ((tptp.dsetconstr @t8 @t7))) % 0.40/0.57 (step @p22 :rule refl :args (@t37)) % 0.40/0.57 (step @p23 :rule cong :premises (@p22) :args (@t38)) % 0.40/0.57 (step @p24 :rule refl :args (@t8)) % 0.40/0.57 (step @p25 :rule cong :premises (@p24 @p23) :args (@t39)) % 0.40/0.57 (step @p26 :rule trans :premises (@p25 @p21)) % 0.40/0.57 (step @p27 :rule refl :args (@t1)) % 0.40/0.57 (step @p28 :rule cong :premises (@p27 @p26) :args (@t40)) % 0.40/0.57 (step @p29 :rule trans :premises (@p28 @p20)) % 0.40/0.57 (step @p30 :rule refl :args (@t11)) % 0.40/0.57 (step @p31 :rule ho_cong :premises (@p30 @p26)) % 0.40/0.57 (step @p32 :rule cong :premises (@p31 @p29) :args ((= (_ @t11 @t39) @t40))) % 0.40/0.57 (step @p33 :rule symm :premises (@p32)) % 0.40/0.57 (step @p34 :rule refl :args (@t12)) % 0.40/0.57 (step @p35 :rule eq_resolve :premises (@p34 @p33)) % 0.40/0.57 (step @p36 :rule refl :args (@t9)) % 0.40/0.57 (step @p37 :rule ho_cong :premises (@p36 @p23)) % 0.40/0.57 (step @p38 :rule cong :premises (@p37 @p26) :args ((= (_ @t9 @t38) @t39))) % 0.40/0.57 (step @p39 :rule symm :premises (@p38)) % 0.40/0.57 (step @p40 :rule refl :args (@t10)) % 0.40/0.57 (step @p41 :rule eq_resolve :premises (@p40 @p39)) % 0.40/0.57 (step @p42 :rule refl :args (@t5)) % 0.40/0.57 (step @p43 :rule cong :premises (@p42 @p22) :args ((= @t5 @t37))) % 0.40/0.57 (step @p44 :rule symm :premises (@p43)) % 0.40/0.57 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.40/0.57 (step @p46 :rule cong :premises (@p45) :args (@t7)) % 0.40/0.57 (step @p47 :rule ho_cong :premises (@p36 @p46)) % 0.40/0.57 (step @p48 :rule trans :premises (@p47 @p41)) % 0.40/0.57 (step @p49 :rule ho_cong :premises (@p30 @p48)) % 0.40/0.57 (step @p50 :rule trans :premises (@p49 @p35)) % 0.40/0.57 (step @p51 :rule cong :premises (@p50) :args (@t43)) % 0.40/0.57 (step @p52 :rule nary_cong :premises (@p51 @p19) :args (@t44)) % 0.40/0.57 (step @p53 :rule cong :premises (@p52) :args ((forall @t13 @t44))) % 0.40/0.57 (step @p54 :rule trans :premises (@p53 @p14)) % 0.40/0.57 (step @p55 :rule bool-impl-elim :args (@t12 @t3)) % 0.40/0.57 (step @p56 :rule cong :premises (@p55) :args (@t14)) % 0.40/0.57 (step @p57 :rule trans :premises (@p56 @p54)) % 0.40/0.57 (step @p58 :rule refl :args (tptp.dsetconstrER)) % 0.40/0.57 (step @p59 :rule cong :premises (@p58 @p57) :args (@t15)) % 0.40/0.57 (step @p60 :rule eq_resolve :premises (@p1 @p59)) % 0.40/0.57 (step @p61 :rule cong :premises (@p60 @p5) :args (@t45)) % 0.40/0.57 (step @p62 :rule cong :premises (@p61) :args ((not @t45))) % 0.40/0.57 (step @p63 :rule refl :args (@t27)) % 0.40/0.57 (step @p64 :rule refl :args (@t17)) % 0.40/0.57 (step @p65 :rule cong :premises (@p64 @p63) :args ((= @t17 @t27))) % 0.40/0.57 (step @p66 :rule symm :premises (@p65)) % 0.40/0.57 (step @p67 :rule eq_resolve :premises (@p64 @p66)) % 0.40/0.57 (step @p68 :rule cong :premises (@p67) :args (@t18)) % 0.40/0.57 (step @p69 :rule refl :args ((tptp.in @t1 @t49))) % 0.40/0.57 (step @p70 :rule refl :args ((tptp.dsetconstr @t8 @t48))) % 0.40/0.57 (step @p71 :rule refl :args (@t29)) % 0.40/0.57 (step @p72 :rule cong :premises (@p71) :args (@t30)) % 0.40/0.57 (step @p73 :rule cong :premises (@p72) :args (@t32)) % 0.40/0.57 (step @p74 :rule cong :premises (@p24 @p73) :args (@t33)) % 0.40/0.57 (step @p75 :rule trans :premises (@p74 @p70)) % 0.40/0.57 (step @p76 :rule cong :premises (@p27 @p75) :args (@t34)) % 0.40/0.57 (step @p77 :rule trans :premises (@p76 @p69)) % 0.40/0.57 (step @p78 :rule ho_cong :premises (@p30 @p75)) % 0.40/0.57 (step @p79 :rule cong :premises (@p78 @p77) :args ((= (_ @t11 @t33) @t34))) % 0.40/0.57 (step @p80 :rule symm :premises (@p79)) % 0.40/0.57 (step @p81 :rule refl :args (@t50)) % 0.40/0.57 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 0.40/0.57 (step @p83 :rule ho_cong :premises (@p36 @p73)) % 0.40/0.57 (step @p84 :rule cong :premises (@p83 @p75) :args ((= (_ @t9 @t32) @t33))) % 0.40/0.57 (step @p85 :rule symm :premises (@p84)) % 0.40/0.57 (step @p86 :rule refl :args (@t49)) % 0.40/0.57 (step @p87 :rule eq_resolve :premises (@p86 @p85)) % 0.40/0.57 (step @p88 :rule refl :args (@t46)) % 0.40/0.57 (step @p89 :rule cong :premises (@p88 @p71) :args ((= @t46 @t29))) % 0.40/0.57 (step @p90 :rule symm :premises (@p89)) % 0.40/0.57 (step @p91 :rule eq_resolve :premises (@p88 @p90)) % 0.40/0.57 (step @p92 :rule cong :premises (@p91) :args (@t47)) % 0.40/0.57 (step @p93 :rule cong :premises (@p92) :args (@t48)) % 0.40/0.57 (step @p94 :rule ho_cong :premises (@p36 @p93)) % 0.40/0.57 (step @p95 :rule trans :premises (@p94 @p87)) % 0.40/0.57 (step @p96 :rule ho_cong :premises (@p30 @p95)) % 0.40/0.57 (step @p97 :rule trans :premises (@p96 @p82)) % 0.40/0.57 (step @p98 :rule cong :premises (@p97) :args (@t51)) % 0.40/0.57 (step @p99 :rule nary_cong :premises (@p98 @p68) :args (@t52)) % 0.40/0.57 (step @p100 :rule cong :premises (@p99) :args ((forall @t20 @t52))) % 0.40/0.57 (step @p101 :rule bool-impl-elim :args (@t50 @t18)) % 0.40/0.57 (step @p102 :rule cong :premises (@p101) :args ((forall @t20 (=> @t50 @t18)))) % 0.40/0.57 (step @p103 :rule trans :premises (@p102 @p100)) % 0.40/0.57 (step @p104 :rule refl :args (@t18)) % 0.40/0.57 (step @p105 :rule alpha_equiv :args (@t24 (@list @t1) (@list @t28))) % 0.40/0.57 (step @p106 :rule ho_cong :premises (@p36 @p105)) % 0.40/0.57 (step @p107 :rule ho_cong :premises (@p30 @p106)) % 0.40/0.57 (step @p108 :rule cong :premises (@p107 @p104) :args (@t53)) % 0.40/0.57 (step @p109 :rule cong :premises (@p108) :args ((forall @t20 @t53))) % 0.40/0.57 (step @p110 :rule trans :premises (@p109 @p103)) % 0.40/0.57 (step @p111 :rule refl :args (@t18)) % 0.40/0.57 (step @p112 :rule beta-reduce :args ((= (_ @t54 @t16) @t25))) % 0.40/0.57 (step @p113 :rule refl :args (@t16)) % 0.40/0.57 (step @p114 :rule beta-reduce :args ((= @t55 @t54))) % 0.40/0.57 (step @p115 :rule ho_cong :premises (@p114 @p113)) % 0.40/0.57 (step @p116 :rule trans :premises (@p115 @p112)) % 0.40/0.57 (step @p117 :rule refl :args (@t11)) % 0.40/0.57 (step @p118 :rule ho_cong :premises (@p117 @p116)) % 0.40/0.57 (step @p119 :rule cong :premises (@p118 @p111) :args (@t56)) % 0.40/0.57 (step @p120 :rule cong :premises (@p119) :args (@t57)) % 0.40/0.57 (step @p121 :rule trans :premises (@p120 @p110)) % 0.40/0.57 (step @p122 :rule cong :premises (@p58 @p121) :args (@t58)) % 0.40/0.57 (step @p123 :rule cong :premises (@p122) :args ((not @t58))) % 0.40/0.57 (step @p124 :rule ho_cong :premises (@p4 @p8)) % 0.40/0.57 (step @p125 :rule ho_cong :premises (@p124 @p113)) % 0.40/0.57 (step @p126 :rule ho_cong :premises (@p117 @p125)) % 0.40/0.57 (step @p127 :rule cong :premises (@p126 @p111) :args (@t19)) % 0.40/0.57 (step @p128 :rule cong :premises (@p127) :args (@t21)) % 0.40/0.57 (step @p129 :rule cong :premises (@p58 @p128) :args (@t22)) % 0.40/0.57 (step @p130 :rule cong :premises (@p129) :args (@t23)) % 0.40/0.57 (step @p131 :rule trans :premises (@p130 @p123)) % 0.40/0.57 (step @p132 :rule trans :premises (@p131 @p62)) % 0.40/0.57 (step @p133 :rule eq_resolve :premises (@p2 @p132)) % 0.40/0.57 (step @p134 :rule not_implies_elim2 :premises (@p133)) % 0.40/0.57 (step @p135 :rule refl :args (@t70)) % 0.40/0.57 (step @p136 :rule bool-double-not-elim :args (@t35)) % 0.40/0.57 (step @p137 :rule nary_cong :premises (@p136 @p135) :args ((or (not @t71) @t70))) % 0.40/0.57 (step @p138 :rule refl :args (@t62)) % 0.40/0.57 (step @p139 :rule eq-refl :args (@t64)) % 0.40/0.57 (step @p140 :rule skolem_intro :args (@t65)) % 0.40/0.57 (step @p141 :rule refl :args (@t64)) % 0.40/0.57 (step @p142 :rule cong :premises (@p141 @p140) :args ((= @t64 @t65))) % 0.40/0.57 (step @p143 :rule trans :premises (@p142 @p139)) % 0.40/0.57 (step @p144 :rule true_elim :premises (@p143)) % 0.40/0.57 (step @p145 :rule refl :args (@t66)) % 0.40/0.57 (step @p146 :rule cong :premises (@p145 @p144) :args (@t72)) % 0.40/0.57 (step @p147 :rule refl :args (@t60)) % 0.40/0.57 (step @p148 :rule cong :premises (@p147 @p146) :args (@t73)) % 0.40/0.57 (step @p149 :rule cong :premises (@p148) :args (@t74)) % 0.40/0.57 (step @p150 :rule nary_cong :premises (@p149 @p138) :args (@t75)) % 0.40/0.57 (step @p151 :rule cong :premises (@p150) :args (@t76)) % 0.40/0.57 (step @p152 :rule refl :args (@t71)) % 0.40/0.57 (step @p153 :rule cong :premises (@p152 @p151) :args ((=> @t71 @t76))) % 0.40/0.57 (assume-push @p202 @t71) % 0.40/0.57 (step @p155 :rule skolemize :premises (@p134)) % 0.40/0.57 (step-pop @p203 :rule scope :premises (@p155)) % 0.40/0.57 (step @p156 :rule process_scope :premises (@p203) :args (@t76)) % 0.40/0.57 (step @p158 :rule eq_resolve :premises (@p156 @p153)) % 0.40/0.57 (step @p159 :rule implies_elim :premises (@p158)) % 0.40/0.57 (step @p160 :rule eq_resolve :premises (@p159 @p137)) % 0.40/0.57 (step @p161 :rule chain_m_resolution :premises (@p160 @p134) :args (@t70 @t77 (@list @t35))) % 0.40/0.57 (step @p162 :rule bool-double-not-elim :args (@t61)) % 0.40/0.57 (step @p163 :rule refl :args (@t69)) % 0.40/0.57 (step @p164 :rule nary_cong :premises (@p163 @p162) :args ((or @t69 (not @t62)))) % 0.40/0.57 (step @p165 :rule cnf_or_neg :args (@t69 1)) % 0.40/0.57 (step @p166 :rule eq_resolve :premises (@p165 @p164)) % 0.40/0.57 (step @p167 :rule reordering :premises (@p166) :args ((or @t61 @t69))) % 0.40/0.57 (step @p168 :rule chain_m_resolution :premises (@p167 @p161) :args (@t61 @t77 @t78)) % 0.40/0.57 (step @p169 :rule eq-symm :args (@t79 @t63)) % 0.40/0.57 (step @p170 :rule beta-reduce :args ((= @t80 @t63))) % 0.40/0.57 (step @p171 :rule refl :args (@t79)) % 0.40/0.57 (step @p172 :rule cong :premises (@p171 @p170) :args (@t81)) % 0.40/0.57 (step @p173 :rule trans :premises (@p172 @p169)) % 0.40/0.57 (step @p174 :rule cong :premises (@p173) :args (@t82)) % 0.40/0.57 (step @p175 :rule quant-unused-vars :args ((= (forall @t31 true) true))) % 0.40/0.57 (step @p176 :rule eq-refl :args (@t80)) % 0.40/0.57 (step @p177 :rule cong :premises (@p176) :args ((forall @t31 (= @t80 @t80)))) % 0.40/0.57 (step @p178 :rule trans :premises (@p177 @p175)) % 0.40/0.57 (step @p179 :rule refl :args (@t80)) % 0.40/0.57 (step @p180 :rule refl :args (@t28)) % 0.40/0.57 (step @p181 :rule ho_cong :premises (@p140 @p180)) % 0.40/0.57 (step @p182 :rule cong :premises (@p181 @p179) :args (@t81)) % 0.40/0.57 (step @p183 :rule cong :premises (@p182) :args (@t82)) % 0.40/0.57 (step @p184 :rule trans :premises (@p183 @p178)) % 0.40/0.57 (step @p185 :rule true_elim :premises (@p184)) % 0.40/0.57 (step @p186 :rule eq_resolve :premises (@p185 @p174)) % 0.40/0.57 (step @p187 :rule instantiate :premises (@p186) :args ((@list @t60))) % 0.40/0.57 (step @p188 :rule not_implies_elim1 :premises (@p133)) % 0.40/0.57 (step @p189 :rule instantiate :premises (@p188) :args ((@list @t66 @t65 @t60))) % 0.40/0.57 (step @p190 :rule bool-double-not-elim :args (@t67)) % 0.40/0.57 (step @p191 :rule nary_cong :premises (@p163 @p190) :args ((or @t69 (not @t68)))) % 0.40/0.57 (step @p192 :rule cnf_or_neg :args (@t69 0)) % 0.40/0.57 (step @p193 :rule eq_resolve :premises (@p192 @p191)) % 0.40/0.57 (step @p194 :rule reordering :premises (@p193) :args ((or @t67 @t69))) % 0.40/0.57 (step @p195 :rule chain_m_resolution :premises (@p194 @p161) :args (@t67 @t77 @t78)) % 0.40/0.57 (step @p196 :rule cnf_or_pos :args (@t84)) % 0.40/0.57 (step @p197 :rule reordering :premises (@p196) :args ((or @t68 @t83 (not @t84)))) % 0.40/0.57 (step @p198 :rule chain_m_resolution :premises (@p197 @p195 @p189) :args (@t83 (@list false false) (@list @t67 @t84))) % 0.40/0.57 (step @p199 :rule cnf_equiv_pos2 :args (@t85)) % 0.40/0.57 (step @p200 :rule reordering :premises (@p199) :args ((or @t62 (not @t83) (not @t85)))) % 0.40/0.57 (step @p201 false :rule chain_m_resolution :premises (@p200 @p198 @p187 @p168) :args (false (@list false false false) (@list @t83 @t85 @t61))) % 0.40/0.57 ) % 0.40/0.57 % SZS output end Proof % 0.40/0.57 % cvc5 exiting %------------------------------------------------------------------------------