%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV257^5 : 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 : n009.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 08:55:41 AM UTC 2026 % Result : Theorem 0.45s 0.63s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV257^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n009.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 18:22:44 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.45/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/0.63 % SZS status Theorem % 0.45/0.63 % SZS output start Proof % 0.45/0.63 ( % 0.45/0.63 (declare-sort tptp.a 0) % 0.45/0.63 (declare-const tptp.cOPEN (-> (-> tptp.a Bool) Bool)) % 0.45/0.63 (define @t1 () (@var "Xy" tptp.a)) % 0.45/0.63 (define @t2 () (@list @t1)) % 0.45/0.63 (define @t3 () (lambda @t2 false)) % 0.45/0.63 (define @t4 () (@var "Xx" tptp.a)) % 0.45/0.63 (define @t5 () (@var "Z" (-> tptp.a Bool))) % 0.45/0.63 (define @t6 () (_ @t5 @t4)) % 0.45/0.63 (define @t7 () (@var "Y" (-> tptp.a Bool))) % 0.45/0.63 (define @t8 () (_ @t7 @t4)) % 0.45/0.63 (define @t9 () (and @t8 @t6)) % 0.45/0.63 (define @t10 () (@list @t4)) % 0.45/0.63 (define @t11 () (lambda @t10 @t9)) % 0.45/0.63 (define @t12 () (_ tptp.cOPEN @t11)) % 0.45/0.63 (define @t13 () (_ tptp.cOPEN @t5)) % 0.45/0.63 (define @t14 () (_ tptp.cOPEN @t7)) % 0.45/0.63 (define @t15 () (and @t14 @t13)) % 0.45/0.63 (define @t16 () (@list @t7 @t5)) % 0.45/0.63 (define @t17 () (forall @t16 (=> @t15 @t12))) % 0.45/0.63 (define @t18 () (@var "S" (-> tptp.a Bool))) % 0.45/0.63 (define @t19 () (_ @t18 @t4)) % 0.45/0.63 (define @t20 () (@var "K" (-> (-> tptp.a Bool) Bool))) % 0.45/0.63 (define @t21 () (_ @t20 @t18)) % 0.45/0.63 (define @t22 () (and @t21 @t19)) % 0.45/0.63 (define @t23 () (@list @t18)) % 0.45/0.63 (define @t24 () (exists @t23 @t22)) % 0.45/0.63 (define @t25 () (lambda @t10 @t24)) % 0.45/0.63 (define @t26 () (@var "Xx" (-> tptp.a Bool))) % 0.45/0.63 (define @t27 () (_ tptp.cOPEN @t26)) % 0.45/0.63 (define @t28 () (_ @t20 @t26)) % 0.45/0.63 (define @t29 () (@list @t26)) % 0.45/0.63 (define @t30 () (forall @t29 (=> @t28 @t27))) % 0.45/0.63 (define @t31 () (=> @t30 (_ tptp.cOPEN @t25))) % 0.45/0.63 (define @t32 () (@list @t20)) % 0.45/0.63 (define @t33 () (forall @t32 @t31)) % 0.45/0.63 (define @t34 () (lambda @t2 true)) % 0.45/0.63 (define @t35 () (and (_ tptp.cOPEN @t34) @t33 @t17)) % 0.45/0.63 (define @t36 () (=> @t35 (_ tptp.cOPEN @t3))) % 0.45/0.63 (define @t37 () (not @t36)) % 0.45/0.63 (define @t38 () (@var "BOUND_VARIABLE_7518" tptp.a)) % 0.45/0.63 (define @t39 () (lambda (@list @t38) false)) % 0.45/0.63 (define @t40 () (@purify @t39)) % 0.45/0.63 (define @t41 () (tptp.cOPEN @t40)) % 0.45/0.63 (define @t42 () (_ tptp.cOPEN @t40)) % 0.45/0.63 (define @t43 () (_ @t5 @t4)) % 0.45/0.63 (define @t44 () (_ @t7 @t4)) % 0.45/0.63 (define @t45 () (and @t44 @t43)) % 0.45/0.63 (define @t46 () (lambda @t10 @t45)) % 0.45/0.63 (define @t47 () (tptp.cOPEN @t46)) % 0.45/0.63 (define @t48 () (tptp.cOPEN @t5)) % 0.45/0.63 (define @t49 () (tptp.cOPEN @t7)) % 0.45/0.63 (define @t50 () (forall @t16 (or (not @t49) (not @t48) @t47))) % 0.45/0.63 (define @t51 () (_ @t18 @t4)) % 0.45/0.63 (define @t52 () (not @t51)) % 0.45/0.63 (define @t53 () (_ @t20 @t18)) % 0.45/0.63 (define @t54 () (not @t53)) % 0.45/0.63 (define @t55 () (or @t54 @t52)) % 0.45/0.63 (define @t56 () (forall @t23 @t55)) % 0.45/0.63 (define @t57 () (not @t56)) % 0.45/0.63 (define @t58 () (lambda @t10 @t57)) % 0.45/0.63 (define @t59 () (tptp.cOPEN @t58)) % 0.45/0.63 (define @t60 () (tptp.cOPEN @t26)) % 0.45/0.63 (define @t61 () (_ @t20 @t26)) % 0.45/0.63 (define @t62 () (forall @t29 (or (not @t61) @t60))) % 0.45/0.63 (define @t63 () (not @t62)) % 0.45/0.63 (define @t64 () (forall @t32 (or @t63 @t59))) % 0.45/0.63 (define @t65 () (@var "BOUND_VARIABLE_7531" tptp.a)) % 0.45/0.63 (define @t66 () (lambda (@list @t65) true)) % 0.45/0.63 (define @t67 () (@purify @t66)) % 0.45/0.63 (define @t68 () (tptp.cOPEN @t67)) % 0.45/0.63 (define @t69 () (_ tptp.cOPEN @t67)) % 0.45/0.63 (define @t70 () (and (_ tptp.cOPEN @t66) @t64 @t50)) % 0.45/0.63 (define @t71 () (=> @t70 (_ tptp.cOPEN @t39))) % 0.45/0.63 (define @t72 () (@list @t1)) % 0.45/0.63 (define @t73 () (@list @t38)) % 0.45/0.63 (define @t74 () (not @t13)) % 0.45/0.63 (define @t75 () (not @t14)) % 0.45/0.63 (define @t76 () (or @t75 @t74 @t12)) % 0.45/0.63 (define @t77 () (not @t19)) % 0.45/0.63 (define @t78 () (not @t21)) % 0.45/0.63 (define @t79 () (or @t78 @t77)) % 0.45/0.63 (define @t80 () (forall @t23 @t79)) % 0.45/0.63 (define @t81 () (lambda @t10 (not @t80))) % 0.45/0.63 (define @t82 () (_ tptp.cOPEN @t58)) % 0.45/0.63 (define @t83 () (or @t63 @t82)) % 0.45/0.63 (define @t84 () (forall @t23 (not @t22))) % 0.45/0.63 (define @t85 () (not @t84)) % 0.45/0.63 (define @t86 () (not @t28)) % 0.45/0.63 (define @t87 () (or @t86 @t27)) % 0.45/0.63 (define @t88 () (tptp.cOPEN @t39)) % 0.45/0.63 (define @t89 () (lambda (@list (@var "BOUND_VARIABLE_14862" (-> tptp.a Bool))) false)) % 0.45/0.63 (define @t90 () (_ @t89 @t18)) % 0.45/0.63 (define @t91 () (not @t90)) % 0.45/0.63 (define @t92 () (or @t91 @t52)) % 0.45/0.63 (define @t93 () (forall @t23 @t92)) % 0.45/0.63 (define @t94 () (not @t93)) % 0.45/0.63 (define @t95 () (lambda @t10 @t94)) % 0.45/0.63 (define @t96 () (tptp.cOPEN @t95)) % 0.45/0.63 (define @t97 () (_ @t89 @t26)) % 0.45/0.63 (define @t98 () (not @t97)) % 0.45/0.63 (define @t99 () (or @t98 @t60)) % 0.45/0.63 (define @t100 () (forall @t29 @t99)) % 0.45/0.63 (define @t101 () (not @t100)) % 0.45/0.63 (define @t102 () (or @t101 @t96)) % 0.45/0.63 (assume @p1 @t37) % 0.45/0.63 (assume @p2 true) % 0.45/0.63 (step @p3 :rule refl :args (@t41)) % 0.45/0.63 (step @p4 :rule refl :args (@t42)) % 0.45/0.63 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t42 @t41))) % 0.45/0.63 (step @p6 :rule symm :premises (@p5)) % 0.45/0.63 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.45/0.63 (step @p8 :rule eq-refl :args (@t39)) % 0.45/0.63 (step @p9 :rule refl :args (@t39)) % 0.45/0.63 (step @p10 :rule symm :premises (@p9)) % 0.45/0.63 (step @p11 :rule refl :args (@t39)) % 0.45/0.63 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t39 @t39))) % 0.45/0.63 (step @p13 :rule trans :premises (@p12 @p8)) % 0.45/0.63 (step @p14 :rule skolem_intro :args (@t40)) % 0.45/0.63 (step @p15 :rule cong :premises (@p11 @p14) :args ((= @t39 @t40))) % 0.45/0.63 (step @p16 :rule trans :premises (@p15 @p13)) % 0.45/0.63 (step @p17 :rule true_elim :premises (@p16)) % 0.45/0.63 (step @p18 :rule refl :args (tptp.cOPEN)) % 0.45/0.63 (step @p19 :rule ho_cong :premises (@p18 @p17)) % 0.45/0.63 (step @p20 :rule trans :premises (@p19 @p7)) % 0.45/0.63 (step @p21 :rule refl :args (@t50)) % 0.45/0.63 (step @p22 :rule refl :args (@t64)) % 0.45/0.63 (step @p23 :rule refl :args (@t68)) % 0.45/0.63 (step @p24 :rule refl :args (@t69)) % 0.45/0.63 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t69 @t68))) % 0.45/0.63 (step @p26 :rule symm :premises (@p25)) % 0.45/0.63 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.45/0.63 (step @p28 :rule eq-refl :args (@t66)) % 0.45/0.63 (step @p29 :rule refl :args (@t66)) % 0.45/0.63 (step @p30 :rule symm :premises (@p29)) % 0.45/0.63 (step @p31 :rule refl :args (@t66)) % 0.45/0.63 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t66 @t66))) % 0.45/0.63 (step @p33 :rule trans :premises (@p32 @p28)) % 0.45/0.63 (step @p34 :rule skolem_intro :args (@t67)) % 0.45/0.63 (step @p35 :rule cong :premises (@p31 @p34) :args ((= @t66 @t67))) % 0.45/0.63 (step @p36 :rule trans :premises (@p35 @p33)) % 0.45/0.63 (step @p37 :rule true_elim :premises (@p36)) % 0.45/0.63 (step @p38 :rule ho_cong :premises (@p18 @p37)) % 0.45/0.63 (step @p39 :rule trans :premises (@p38 @p27)) % 0.45/0.63 (step @p40 :rule nary_cong :premises (@p39 @p22 @p21) :args (@t70)) % 0.45/0.63 (step @p41 :rule cong :premises (@p40 @p20) :args (@t71)) % 0.45/0.63 (step @p42 :rule cong :premises (@p41) :args ((not @t71))) % 0.45/0.63 (step @p43 :rule symm :premises (@p9)) % 0.45/0.63 (step @p44 :rule alpha_equiv :args (@t3 @t72 @t73)) % 0.45/0.63 (step @p45 :rule trans :premises (@p44 @p43)) % 0.45/0.63 (step @p46 :rule ho_cong :premises (@p18 @p45)) % 0.45/0.63 (step @p47 :rule refl :args ((tptp.cOPEN @t11))) % 0.45/0.63 (step @p48 :rule refl :args (@t43)) % 0.45/0.63 (step @p49 :rule refl :args (@t44)) % 0.45/0.63 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t45)) % 0.45/0.63 (step @p51 :rule cong :premises (@p50) :args (@t46)) % 0.45/0.63 (step @p52 :rule cong :premises (@p51) :args (@t47)) % 0.45/0.63 (step @p53 :rule trans :premises (@p52 @p47)) % 0.45/0.63 (step @p54 :rule refl :args (tptp.cOPEN)) % 0.45/0.63 (step @p55 :rule ho_cong :premises (@p54 @p51)) % 0.45/0.63 (step @p56 :rule cong :premises (@p55 @p53) :args ((= (_ tptp.cOPEN @t46) @t47))) % 0.45/0.63 (step @p57 :rule symm :premises (@p56)) % 0.45/0.63 (step @p58 :rule refl :args (@t12)) % 0.45/0.63 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 0.45/0.63 (step @p60 :rule refl :args (@t6)) % 0.45/0.63 (step @p61 :rule cong :premises (@p60 @p48) :args ((= @t6 @t43))) % 0.45/0.63 (step @p62 :rule symm :premises (@p61)) % 0.45/0.63 (step @p63 :rule eq_resolve :premises (@p60 @p62)) % 0.45/0.63 (step @p64 :rule refl :args (@t8)) % 0.45/0.63 (step @p65 :rule cong :premises (@p64 @p49) :args ((= @t8 @t44))) % 0.45/0.63 (step @p66 :rule symm :premises (@p65)) % 0.45/0.63 (step @p67 :rule eq_resolve :premises (@p64 @p66)) % 0.45/0.63 (step @p68 :rule nary_cong :premises (@p67 @p63) :args (@t9)) % 0.45/0.63 (step @p69 :rule cong :premises (@p68) :args (@t11)) % 0.45/0.63 (step @p70 :rule ho_cong :premises (@p54 @p69)) % 0.45/0.63 (step @p71 :rule trans :premises (@p70 @p59)) % 0.45/0.63 (step @p72 :rule refl :args (@t48)) % 0.45/0.63 (step @p73 :rule refl :args (@t13)) % 0.45/0.63 (step @p74 :rule cong :premises (@p73 @p72) :args ((= @t13 @t48))) % 0.45/0.63 (step @p75 :rule symm :premises (@p74)) % 0.45/0.63 (step @p76 :rule eq_resolve :premises (@p73 @p75)) % 0.45/0.63 (step @p77 :rule cong :premises (@p76) :args (@t74)) % 0.45/0.63 (step @p78 :rule refl :args (@t49)) % 0.45/0.63 (step @p79 :rule refl :args (@t14)) % 0.45/0.63 (step @p80 :rule cong :premises (@p79 @p78) :args ((= @t14 @t49))) % 0.45/0.63 (step @p81 :rule symm :premises (@p80)) % 0.45/0.63 (step @p82 :rule eq_resolve :premises (@p79 @p81)) % 0.45/0.63 (step @p83 :rule cong :premises (@p82) :args (@t75)) % 0.45/0.63 (step @p84 :rule nary_cong :premises (@p83 @p77 @p71) :args (@t76)) % 0.45/0.63 (step @p85 :rule cong :premises (@p84) :args ((forall @t16 @t76))) % 0.45/0.63 (step @p86 :rule aci_norm :args ((= (or (or @t75 @t74) @t12) @t76))) % 0.45/0.63 (step @p87 :rule bool-and-de-morgan :args (@t14 @t13 true)) % 0.45/0.63 (step @p88 :rule nary_cong :premises (@p87 @p58) :args ((or (not @t15) @t12))) % 0.45/0.63 (step @p89 :rule trans :premises (@p88 @p86)) % 0.45/0.63 (step @p90 :rule bool-impl-elim :args (@t15 @t12)) % 0.45/0.63 (step @p91 :rule trans :premises (@p90 @p89)) % 0.45/0.63 (step @p92 :rule cong :premises (@p91) :args (@t17)) % 0.45/0.63 (step @p93 :rule trans :premises (@p92 @p85)) % 0.45/0.63 (step @p94 :rule refl :args ((tptp.cOPEN @t81))) % 0.45/0.63 (step @p95 :rule refl :args (@t51)) % 0.45/0.63 (step @p96 :rule cong :premises (@p95) :args (@t52)) % 0.45/0.63 (step @p97 :rule refl :args (@t53)) % 0.45/0.63 (step @p98 :rule cong :premises (@p97) :args (@t54)) % 0.45/0.63 (step @p99 :rule nary_cong :premises (@p98 @p96) :args (@t55)) % 0.45/0.63 (step @p100 :rule cong :premises (@p99) :args (@t56)) % 0.45/0.63 (step @p101 :rule cong :premises (@p100) :args (@t57)) % 0.45/0.63 (step @p102 :rule cong :premises (@p101) :args (@t58)) % 0.45/0.63 (step @p103 :rule cong :premises (@p102) :args (@t59)) % 0.45/0.63 (step @p104 :rule trans :premises (@p103 @p94)) % 0.45/0.63 (step @p105 :rule ho_cong :premises (@p54 @p102)) % 0.45/0.63 (step @p106 :rule cong :premises (@p105 @p104) :args ((= @t82 @t59))) % 0.45/0.63 (step @p107 :rule symm :premises (@p106)) % 0.45/0.63 (step @p108 :rule refl :args ((_ tptp.cOPEN @t81))) % 0.45/0.63 (step @p109 :rule eq_resolve :premises (@p108 @p107)) % 0.45/0.63 (step @p110 :rule refl :args (@t63)) % 0.45/0.63 (step @p111 :rule nary_cong :premises (@p110 @p109) :args (@t83)) % 0.45/0.63 (step @p112 :rule cong :premises (@p111) :args ((forall @t32 @t83))) % 0.45/0.63 (step @p113 :rule bool-impl-elim :args (@t62 @t82)) % 0.45/0.63 (step @p114 :rule cong :premises (@p113) :args ((forall @t32 (=> @t62 @t82)))) % 0.45/0.63 (step @p115 :rule trans :premises (@p114 @p112)) % 0.45/0.63 (step @p116 :rule refl :args (@t19)) % 0.45/0.63 (step @p117 :rule cong :premises (@p116 @p95) :args ((= @t19 @t51))) % 0.45/0.63 (step @p118 :rule symm :premises (@p117)) % 0.45/0.63 (step @p119 :rule eq_resolve :premises (@p116 @p118)) % 0.45/0.63 (step @p120 :rule cong :premises (@p119) :args (@t77)) % 0.45/0.63 (step @p121 :rule refl :args (@t21)) % 0.45/0.63 (step @p122 :rule cong :premises (@p121 @p97) :args ((= @t21 @t53))) % 0.45/0.63 (step @p123 :rule symm :premises (@p122)) % 0.45/0.63 (step @p124 :rule eq_resolve :premises (@p121 @p123)) % 0.45/0.63 (step @p125 :rule cong :premises (@p124) :args (@t78)) % 0.45/0.63 (step @p126 :rule nary_cong :premises (@p125 @p120) :args (@t79)) % 0.45/0.63 (step @p127 :rule cong :premises (@p126) :args (@t80)) % 0.45/0.63 (step @p128 :rule bool-and-de-morgan :args (@t21 @t19 true)) % 0.45/0.63 (step @p129 :rule cong :premises (@p128) :args (@t84)) % 0.45/0.63 (step @p130 :rule trans :premises (@p129 @p127)) % 0.45/0.63 (step @p131 :rule cong :premises (@p130) :args (@t85)) % 0.45/0.63 (step @p132 :rule exists-elim :args ((= @t24 @t85))) % 0.45/0.63 (step @p133 :rule trans :premises (@p132 @p131)) % 0.45/0.63 (step @p134 :rule cong :premises (@p133) :args (@t25)) % 0.45/0.63 (step @p135 :rule ho_cong :premises (@p18 @p134)) % 0.45/0.63 (step @p136 :rule refl :args (@t60)) % 0.45/0.63 (step @p137 :rule refl :args (@t27)) % 0.45/0.63 (step @p138 :rule cong :premises (@p137 @p136) :args ((= @t27 @t60))) % 0.45/0.63 (step @p139 :rule symm :premises (@p138)) % 0.45/0.63 (step @p140 :rule eq_resolve :premises (@p137 @p139)) % 0.45/0.63 (step @p141 :rule refl :args (@t61)) % 0.45/0.63 (step @p142 :rule refl :args (@t28)) % 0.45/0.63 (step @p143 :rule cong :premises (@p142 @p141) :args ((= @t28 @t61))) % 0.45/0.63 (step @p144 :rule symm :premises (@p143)) % 0.45/0.63 (step @p145 :rule eq_resolve :premises (@p142 @p144)) % 0.45/0.63 (step @p146 :rule cong :premises (@p145) :args (@t86)) % 0.45/0.63 (step @p147 :rule nary_cong :premises (@p146 @p140) :args (@t87)) % 0.45/0.63 (step @p148 :rule cong :premises (@p147) :args ((forall @t29 @t87))) % 0.45/0.63 (step @p149 :rule bool-impl-elim :args (@t28 @t27)) % 0.45/0.63 (step @p150 :rule cong :premises (@p149) :args (@t30)) % 0.45/0.63 (step @p151 :rule trans :premises (@p150 @p148)) % 0.45/0.63 (step @p152 :rule cong :premises (@p151 @p135) :args (@t31)) % 0.45/0.63 (step @p153 :rule cong :premises (@p152) :args (@t33)) % 0.45/0.63 (step @p154 :rule trans :premises (@p153 @p115)) % 0.45/0.63 (step @p155 :rule symm :premises (@p29)) % 0.45/0.63 (step @p156 :rule alpha_equiv :args (@t34 @t72 (@list @t65))) % 0.45/0.63 (step @p157 :rule trans :premises (@p156 @p155)) % 0.45/0.63 (step @p158 :rule ho_cong :premises (@p18 @p157)) % 0.45/0.63 (step @p159 :rule nary_cong :premises (@p158 @p154 @p93) :args (@t35)) % 0.45/0.63 (step @p160 :rule cong :premises (@p159 @p46) :args (@t36)) % 0.45/0.63 (step @p161 :rule cong :premises (@p160) :args (@t37)) % 0.45/0.63 (step @p162 :rule trans :premises (@p161 @p42)) % 0.45/0.63 (step @p163 :rule eq_resolve :premises (@p1 @p162)) % 0.45/0.63 (step @p164 :rule not_implies_elim1 :premises (@p163)) % 0.45/0.63 (step @p165 :rule and_elim :premises (@p164) :args (1)) % 0.45/0.63 (step @p166 :rule not_implies_elim2 :premises (@p163)) % 0.45/0.64 (step @p167 :rule cong :premises (@p17) :args (@t88)) % 0.45/0.64 (step @p168 :rule cong :premises (@p22 @p167) :args ((=> @t64 @t88))) % 0.45/0.64 (step @p169 :rule aci_norm :args ((= (or false @t88) @t88))) % 0.45/0.64 (step @p170 :rule alpha_equiv :args ((lambda @t10 false) (@list @t4) @t73)) % 0.45/0.64 (step @p171 :rule trans :premises (@p170 @p43)) % 0.45/0.64 (step @p172 :rule evaluate :args ((not true))) % 0.45/0.64 (step @p173 :rule quant-unused-vars :args ((= (forall @t23 true) true))) % 0.45/0.64 (step @p174 :rule absorb :args ((= (or true @t52) true))) % 0.45/0.64 (step @p175 :rule refl :args (@t52)) % 0.45/0.64 (step @p176 :rule evaluate :args ((not false))) % 0.45/0.64 (step @p177 :rule beta-reduce :args ((= @t90 false))) % 0.45/0.64 (step @p178 :rule cong :premises (@p177) :args (@t91)) % 0.45/0.64 (step @p179 :rule trans :premises (@p178 @p176)) % 0.45/0.64 (step @p180 :rule nary_cong :premises (@p179 @p175) :args (@t92)) % 0.45/0.64 (step @p181 :rule trans :premises (@p180 @p174)) % 0.45/0.64 (step @p182 :rule cong :premises (@p181) :args (@t93)) % 0.45/0.64 (step @p183 :rule trans :premises (@p182 @p173)) % 0.45/0.64 (step @p184 :rule cong :premises (@p183) :args (@t94)) % 0.45/0.64 (step @p185 :rule trans :premises (@p184 @p172)) % 0.45/0.64 (step @p186 :rule cong :premises (@p185) :args (@t95)) % 0.45/0.64 (step @p187 :rule trans :premises (@p186 @p171)) % 0.45/0.64 (step @p188 :rule cong :premises (@p187) :args (@t96)) % 0.45/0.64 (step @p189 :rule quant-unused-vars :args ((= (forall @t29 true) true))) % 0.45/0.64 (step @p190 :rule absorb :args ((= (or true @t60) true))) % 0.45/0.64 (step @p191 :rule refl :args (@t60)) % 0.45/0.64 (step @p192 :rule beta-reduce :args ((= @t97 false))) % 0.45/0.64 (step @p193 :rule cong :premises (@p192) :args (@t98)) % 0.45/0.64 (step @p194 :rule trans :premises (@p193 @p176)) % 0.45/0.64 (step @p195 :rule nary_cong :premises (@p194 @p191) :args (@t99)) % 0.45/0.64 (step @p196 :rule trans :premises (@p195 @p190)) % 0.45/0.64 (step @p197 :rule cong :premises (@p196) :args (@t100)) % 0.45/0.64 (step @p198 :rule trans :premises (@p197 @p189)) % 0.45/0.64 (step @p199 :rule cong :premises (@p198) :args (@t101)) % 0.45/0.64 (step @p200 :rule trans :premises (@p199 @p172)) % 0.45/0.64 (step @p201 :rule nary_cong :premises (@p200 @p188) :args (@t102)) % 0.45/0.64 (step @p202 :rule trans :premises (@p201 @p169)) % 0.45/0.64 (step @p203 :rule cong :premises (@p22 @p202) :args ((=> @t64 @t102))) % 0.45/0.64 (assume-push @p213 @t64) % 0.45/0.64 (step @p205 :rule instantiate :premises (@p165) :args ((@list @t89))) % 0.45/0.64 (step-pop @p214 :rule scope :premises (@p205)) % 0.45/0.64 (step @p206 :rule process_scope :premises (@p214) :args (@t102)) % 0.45/0.64 (step @p208 :rule eq_resolve :premises (@p206 @p203)) % 0.45/0.64 (step @p209 :rule eq_resolve :premises (@p208 @p168)) % 0.45/0.64 (step @p210 :rule implies_elim :premises (@p209)) % 0.45/0.64 (step @p211 :rule reordering :premises (@p210) :args ((or @t41 (not @t64)))) % 0.45/0.64 (step @p212 false :rule chain_m_resolution :premises (@p211 @p166 @p165) :args (false (@list true false) (@list @t41 @t64))) % 0.45/0.64 ) % 0.45/0.64 % SZS output end Proof % 0.45/0.64 % cvc5 exiting %------------------------------------------------------------------------------