%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ140^2 : TPTP v9.2.1. Released v6.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:44:18 AM UTC 2026 % Result : Theorem 0.37s 0.60s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ140^2 : TPTP v9.2.1. Released v6.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n025.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 13:19:31 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.37/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.60 % SZS status Theorem % 0.37/0.60 % SZS output start Proof % 0.37/0.60 ( % 0.37/0.60 (declare-sort tptp.beverage 0) % 0.37/0.60 (declare-sort tptp.syrup 0) % 0.37/0.60 (declare-const tptp.hot (-> tptp.beverage Bool)) % 0.37/0.60 (declare-const tptp.coffee_mixture (-> tptp.syrup tptp.beverage)) % 0.37/0.60 (declare-const tptp.mix (-> tptp.beverage tptp.syrup tptp.beverage)) % 0.37/0.60 (declare-const tptp.coffee tptp.beverage) % 0.37/0.60 (define @t1 () (_ tptp.mix tptp.coffee)) % 0.37/0.60 (define @t2 () (@var "S" tptp.syrup)) % 0.37/0.60 (define @t3 () (_ tptp.coffee_mixture @t2)) % 0.37/0.60 (define @t4 () (_ tptp.hot @t3)) % 0.37/0.60 (define @t5 () (and (= @t3 tptp.coffee) @t4)) % 0.37/0.60 (define @t6 () (@list @t2)) % 0.37/0.60 (define @t7 () (forall @t6 @t5)) % 0.37/0.60 (define @t8 () (@var "B" tptp.beverage)) % 0.37/0.60 (define @t9 () (_ tptp.hot @t8)) % 0.37/0.60 (define @t10 () (@var "SyrupMixer" (-> tptp.syrup tptp.beverage))) % 0.37/0.60 (define @t11 () (_ @t10 @t2)) % 0.37/0.60 (define @t12 () (= @t8 @t11)) % 0.37/0.60 (define @t13 () (and @t12 (= @t8 tptp.coffee) @t9)) % 0.37/0.60 (define @t14 () (@list @t8)) % 0.37/0.60 (define @t15 () (exists @t14 @t13)) % 0.37/0.60 (define @t16 () (forall @t6 @t15)) % 0.37/0.60 (define @t17 () (@list @t10)) % 0.37/0.60 (define @t18 () (exists @t17 @t16)) % 0.37/0.60 (define @t19 () (not @t18)) % 0.37/0.60 (define @t20 () (@var "BOUND_VARIABLE_7499" tptp.syrup)) % 0.37/0.60 (define @t21 () (@list @t20)) % 0.37/0.60 (define @t22 () (forall @t21 (tptp.hot (_ @t10 @t20)))) % 0.37/0.60 (define @t23 () (@var "BOUND_VARIABLE_7493" tptp.syrup)) % 0.37/0.60 (define @t24 () (@list @t23)) % 0.37/0.60 (define @t25 () (forall @t24 (= tptp.coffee (_ @t10 @t23)))) % 0.37/0.60 (define @t26 () (forall @t17 (or (not @t25) (not @t22)))) % 0.37/0.60 (define @t27 () (and @t25 @t22)) % 0.37/0.60 (define @t28 () (forall @t17 (not @t27))) % 0.37/0.60 (define @t29 () (not @t28)) % 0.37/0.60 (define @t30 () (_ @t10 @t2)) % 0.37/0.60 (define @t31 () (tptp.hot @t30)) % 0.37/0.60 (define @t32 () (forall @t6 @t31)) % 0.37/0.60 (define @t33 () (@list @t2)) % 0.37/0.60 (define @t34 () (= tptp.coffee @t30)) % 0.37/0.60 (define @t35 () (forall @t6 @t34)) % 0.37/0.60 (define @t36 () (and @t35 @t32)) % 0.37/0.60 (define @t37 () (not @t31)) % 0.37/0.60 (define @t38 () (not @t34)) % 0.37/0.60 (define @t39 () (or @t38 @t37)) % 0.37/0.60 (define @t40 () (not (= @t30 @t30))) % 0.37/0.60 (define @t41 () (or @t40 @t38 @t37)) % 0.37/0.60 (define @t42 () (tptp.hot @t8)) % 0.37/0.60 (define @t43 () (not @t42)) % 0.37/0.60 (define @t44 () (= tptp.coffee @t8)) % 0.37/0.60 (define @t45 () (not @t44)) % 0.37/0.60 (define @t46 () (not (= @t8 @t30))) % 0.37/0.60 (define @t47 () (or @t46 @t46 @t45 @t43)) % 0.37/0.60 (define @t48 () (or @t46 @t45 @t43)) % 0.37/0.60 (define @t49 () (not @t9)) % 0.37/0.60 (define @t50 () (not @t12)) % 0.37/0.60 (define @t51 () (or @t50 @t45 @t49)) % 0.37/0.60 (define @t52 () (and @t12 @t44 @t9)) % 0.37/0.60 (define @t53 () (forall @t14 (not @t52))) % 0.37/0.60 (define @t54 () (not @t53)) % 0.37/0.60 (define @t55 () (@var "BOUND_VARIABLE_7446" tptp.syrup)) % 0.37/0.60 (define @t56 () (tptp.mix tptp.coffee @t55)) % 0.37/0.60 (define @t57 () (_ @t1 @t55)) % 0.37/0.60 (define @t58 () (tptp.hot @t57)) % 0.37/0.60 (define @t59 () (@list @t55)) % 0.37/0.60 (define @t60 () (_ @t1 @t55)) % 0.37/0.60 (define @t61 () (tptp.hot @t60)) % 0.37/0.60 (define @t62 () (forall @t59 @t61)) % 0.37/0.60 (define @t63 () (@var "BOUND_VARIABLE_7440" tptp.syrup)) % 0.37/0.60 (define @t64 () (tptp.mix tptp.coffee @t63)) % 0.37/0.60 (define @t65 () (_ @t1 @t63)) % 0.37/0.60 (define @t66 () (= tptp.coffee @t65)) % 0.37/0.60 (define @t67 () (@list @t63)) % 0.37/0.60 (define @t68 () (_ @t1 @t63)) % 0.37/0.60 (define @t69 () (= tptp.coffee @t68)) % 0.37/0.60 (define @t70 () (forall @t67 @t69)) % 0.37/0.60 (define @t71 () (tptp.coffee_mixture @t55)) % 0.37/0.60 (define @t72 () (tptp.hot @t71)) % 0.37/0.60 (define @t73 () (forall @t59 @t72)) % 0.37/0.60 (define @t74 () (tptp.coffee_mixture @t63)) % 0.37/0.60 (define @t75 () (= tptp.coffee @t74)) % 0.37/0.60 (define @t76 () (forall @t67 @t75)) % 0.37/0.60 (define @t77 () (_ tptp.coffee_mixture @t55)) % 0.37/0.60 (define @t78 () (_ tptp.hot @t77)) % 0.37/0.60 (define @t79 () (forall @t59 @t78)) % 0.37/0.60 (define @t80 () (_ tptp.coffee_mixture @t63)) % 0.37/0.60 (define @t81 () (= tptp.coffee @t80)) % 0.37/0.60 (define @t82 () (forall @t67 @t81)) % 0.37/0.60 (define @t83 () (forall @t6 @t4)) % 0.37/0.60 (define @t84 () (= tptp.coffee @t3)) % 0.37/0.60 (define @t85 () (forall @t6 @t84)) % 0.37/0.60 (define @t86 () (and @t85 @t83)) % 0.37/0.60 (define @t87 () (@list (@const 0 tptp.syrup))) % 0.37/0.60 (define @t88 () (tptp.hot tptp.coffee)) % 0.37/0.60 (define @t89 () (not @t88)) % 0.37/0.60 (define @t90 () (lambda (@list (@var "BOUND_VARIABLE_21719" tptp.syrup)) tptp.coffee)) % 0.37/0.60 (define @t91 () (_ @t90 @t20)) % 0.37/0.60 (define @t92 () (tptp.hot @t91)) % 0.37/0.60 (define @t93 () (forall @t21 @t92)) % 0.37/0.60 (define @t94 () (not @t93)) % 0.37/0.60 (define @t95 () (_ @t90 @t23)) % 0.37/0.60 (define @t96 () (= tptp.coffee @t95)) % 0.37/0.60 (define @t97 () (forall @t24 @t96)) % 0.37/0.60 (define @t98 () (not @t97)) % 0.37/0.60 (define @t99 () (or @t98 @t94)) % 0.37/0.60 (assume @p1 (= tptp.coffee_mixture @t1)) % 0.37/0.60 (assume @p2 @t7) % 0.37/0.60 (assume @p3 @t19) % 0.37/0.60 (assume @p4 true) % 0.37/0.60 (step @p5 :rule bool-double-not-elim :args (@t26)) % 0.37/0.60 (step @p6 :rule bool-and-de-morgan :args (@t25 @t22 true)) % 0.37/0.60 (step @p7 :rule cong :premises (@p6) :args (@t28)) % 0.37/0.60 (step @p8 :rule cong :premises (@p7) :args (@t29)) % 0.37/0.60 (step @p9 :rule exists-elim :args ((= (exists @t17 @t27) @t29))) % 0.37/0.60 (step @p10 :rule trans :premises (@p9 @p8)) % 0.37/0.60 (step @p11 :rule alpha_equiv :args (@t32 @t33 (@list @t20))) % 0.37/0.60 (step @p12 :rule alpha_equiv :args (@t35 @t33 (@list @t23))) % 0.37/0.60 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t36)) % 0.37/0.60 (step @p14 :rule quant-miniscope-and :args ((= (forall @t6 (and @t34 @t31)) @t36))) % 0.37/0.60 (step @p15 :rule trans :premises (@p14 @p13)) % 0.37/0.60 (step @p16 :rule bool-double-not-elim :args (@t31)) % 0.37/0.60 (step @p17 :rule bool-double-not-elim :args (@t34)) % 0.37/0.60 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((and (not @t38) (not @t37)))) % 0.37/0.60 (step @p19 :rule bool-or-de-morgan :args (@t38 @t37 false)) % 0.37/0.60 (step @p20 :rule trans :premises (@p19 @p18)) % 0.37/0.60 (step @p21 :rule cong :premises (@p20) :args ((forall @t6 (not @t39)))) % 0.37/0.60 (step @p22 :rule trans :premises (@p21 @p15)) % 0.37/0.60 (step @p23 :rule aci_norm :args ((= (or false @t38 @t37) @t39))) % 0.37/0.60 (step @p24 :rule refl :args (@t37)) % 0.37/0.60 (step @p25 :rule refl :args (@t38)) % 0.37/0.60 (step @p26 :rule evaluate :args ((not true))) % 0.37/0.60 (step @p27 :rule eq-refl :args (@t30)) % 0.37/0.60 (step @p28 :rule cong :premises (@p27) :args (@t40)) % 0.37/0.60 (step @p29 :rule trans :premises (@p28 @p26)) % 0.37/0.60 (step @p30 :rule nary_cong :premises (@p29 @p25 @p24) :args (@t41)) % 0.37/0.60 (step @p31 :rule trans :premises (@p30 @p23)) % 0.37/0.60 (step @p32 :rule quant-var-elim-eq :args ((= (forall @t14 @t47) @t41))) % 0.37/0.60 (step @p33 :rule aci_norm :args ((= @t48 @t47))) % 0.37/0.60 (step @p34 :rule cong :premises (@p33) :args ((forall @t14 @t48))) % 0.37/0.60 (step @p35 :rule trans :premises (@p34 @p32)) % 0.37/0.60 (step @p36 :rule trans :premises (@p35 @p31)) % 0.37/0.60 (step @p37 :rule refl :args (@t42)) % 0.37/0.60 (step @p38 :rule refl :args (@t9)) % 0.37/0.60 (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t9 @t42))) % 0.37/0.60 (step @p40 :rule symm :premises (@p39)) % 0.37/0.60 (step @p41 :rule eq_resolve :premises (@p38 @p40)) % 0.37/0.60 (step @p42 :rule cong :premises (@p41) :args (@t49)) % 0.37/0.60 (step @p43 :rule refl :args (@t45)) % 0.37/0.60 (step @p44 :rule refl :args (@t30)) % 0.37/0.60 (step @p45 :rule refl :args (@t11)) % 0.37/0.60 (step @p46 :rule cong :premises (@p45 @p44) :args ((= @t11 @t30))) % 0.37/0.60 (step @p47 :rule symm :premises (@p46)) % 0.37/0.60 (step @p48 :rule eq_resolve :premises (@p45 @p47)) % 0.37/0.60 (step @p49 :rule refl :args (@t8)) % 0.37/0.60 (step @p50 :rule cong :premises (@p49 @p48) :args (@t12)) % 0.37/0.60 (step @p51 :rule cong :premises (@p50) :args (@t50)) % 0.37/0.60 (step @p52 :rule nary_cong :premises (@p51 @p43 @p42) :args (@t51)) % 0.37/0.60 (step @p53 :rule cong :premises (@p52) :args ((forall @t14 @t51))) % 0.37/0.60 (step @p54 :rule trans :premises (@p53 @p36)) % 0.37/0.60 (step @p55 :rule aci_norm :args ((= (or @t50 (or @t45 @t49)) @t51))) % 0.37/0.60 (step @p56 :rule bool-and-de-morgan :args (@t44 @t9 true)) % 0.37/0.60 (step @p57 :rule refl :args (@t50)) % 0.37/0.60 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or @t50 (not (and @t44 @t9))))) % 0.37/0.60 (step @p59 :rule bool-and-de-morgan :args (@t12 @t44 (and @t9))) % 0.37/0.60 (step @p60 :rule trans :premises (@p59 @p58)) % 0.37/0.60 (step @p61 :rule trans :premises (@p60 @p55)) % 0.37/0.60 (step @p62 :rule cong :premises (@p61) :args (@t53)) % 0.37/0.60 (step @p63 :rule trans :premises (@p62 @p54)) % 0.37/0.60 (step @p64 :rule cong :premises (@p63) :args (@t54)) % 0.37/0.60 (step @p65 :rule exists-elim :args ((= (exists @t14 @t52) @t54))) % 0.37/0.60 (step @p66 :rule trans :premises (@p65 @p64)) % 0.37/0.60 (step @p67 :rule refl :args (@t9)) % 0.37/0.60 (step @p68 :rule eq-symm :args (@t8 tptp.coffee)) % 0.37/0.60 (step @p69 :rule refl :args (@t12)) % 0.37/0.60 (step @p70 :rule nary_cong :premises (@p69 @p68 @p67) :args (@t13)) % 0.37/0.60 (step @p71 :rule cong :premises (@p70) :args (@t15)) % 0.37/0.60 (step @p72 :rule trans :premises (@p71 @p66)) % 0.37/0.60 (step @p73 :rule cong :premises (@p72) :args (@t16)) % 0.37/0.60 (step @p74 :rule trans :premises (@p73 @p22)) % 0.37/0.60 (step @p75 :rule cong :premises (@p74) :args (@t18)) % 0.37/0.60 (step @p76 :rule trans :premises (@p75 @p10)) % 0.37/0.60 (step @p77 :rule cong :premises (@p76) :args (@t19)) % 0.37/0.60 (step @p78 :rule trans :premises (@p77 @p5)) % 0.37/0.60 (step @p79 :rule eq_resolve :premises (@p3 @p78)) % 0.37/0.61 (step @p80 :rule refl :args (@t56)) % 0.37/0.61 (step @p81 :rule refl :args (@t57)) % 0.37/0.61 (step @p82 :rule cong :premises (@p81 @p80) :args ((= @t57 @t56))) % 0.37/0.61 (step @p83 :rule symm :premises (@p82)) % 0.37/0.61 (step @p84 :rule eq_resolve :premises (@p81 @p83)) % 0.37/0.61 (step @p85 :rule cong :premises (@p84) :args (@t58)) % 0.37/0.61 (step @p86 :rule cong :premises (@p85) :args ((forall @t59 @t58))) % 0.37/0.61 (step @p87 :rule refl :args (@t60)) % 0.37/0.61 (step @p88 :rule cong :premises (@p87) :args (@t61)) % 0.37/0.61 (step @p89 :rule cong :premises (@p88) :args (@t62)) % 0.37/0.61 (step @p90 :rule trans :premises (@p89 @p86)) % 0.37/0.61 (step @p91 :rule refl :args (@t64)) % 0.37/0.61 (step @p92 :rule refl :args (@t65)) % 0.37/0.61 (step @p93 :rule cong :premises (@p92 @p91) :args ((= @t65 @t64))) % 0.37/0.61 (step @p94 :rule symm :premises (@p93)) % 0.37/0.61 (step @p95 :rule eq_resolve :premises (@p92 @p94)) % 0.37/0.61 (step @p96 :rule refl :args (tptp.coffee)) % 0.37/0.61 (step @p97 :rule cong :premises (@p96 @p95) :args (@t66)) % 0.37/0.61 (step @p98 :rule cong :premises (@p97) :args ((forall @t67 @t66))) % 0.37/0.61 (step @p99 :rule refl :args (@t68)) % 0.37/0.61 (step @p100 :rule refl :args (tptp.coffee)) % 0.37/0.61 (step @p101 :rule cong :premises (@p100 @p99) :args (@t69)) % 0.37/0.61 (step @p102 :rule cong :premises (@p101) :args (@t70)) % 0.37/0.61 (step @p103 :rule trans :premises (@p102 @p98)) % 0.37/0.61 (step @p104 :rule nary_cong :premises (@p103 @p90) :args ((and @t70 @t62))) % 0.37/0.61 (step @p105 :rule refl :args (@t55)) % 0.37/0.61 (step @p106 :rule ho_cong :premises (@p1 @p105)) % 0.37/0.61 (step @p107 :rule cong :premises (@p106) :args (@t72)) % 0.37/0.61 (step @p108 :rule cong :premises (@p107) :args (@t73)) % 0.37/0.61 (step @p109 :rule refl :args (@t63)) % 0.37/0.61 (step @p110 :rule ho_cong :premises (@p1 @p109)) % 0.37/0.61 (step @p111 :rule cong :premises (@p100 @p110) :args (@t75)) % 0.37/0.61 (step @p112 :rule cong :premises (@p111) :args (@t76)) % 0.37/0.61 (step @p113 :rule nary_cong :premises (@p112 @p108) :args ((and @t76 @t73))) % 0.37/0.61 (step @p114 :rule trans :premises (@p113 @p104)) % 0.37/0.61 (step @p115 :rule refl :args ((tptp.hot @t77))) % 0.37/0.61 (step @p116 :rule refl :args (@t71)) % 0.37/0.61 (step @p117 :rule cong :premises (@p116) :args (@t72)) % 0.37/0.61 (step @p118 :rule trans :premises (@p117 @p115)) % 0.37/0.61 (step @p119 :rule refl :args (tptp.hot)) % 0.37/0.61 (step @p120 :rule ho_cong :premises (@p119 @p116)) % 0.37/0.61 (step @p121 :rule cong :premises (@p120 @p118) :args ((= (_ tptp.hot @t71) @t72))) % 0.37/0.61 (step @p122 :rule symm :premises (@p121)) % 0.37/0.61 (step @p123 :rule refl :args (@t78)) % 0.37/0.61 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 0.37/0.61 (step @p125 :rule refl :args (@t77)) % 0.37/0.61 (step @p126 :rule cong :premises (@p125 @p116) :args ((= @t77 @t71))) % 0.37/0.61 (step @p127 :rule symm :premises (@p126)) % 0.37/0.61 (step @p128 :rule eq_resolve :premises (@p125 @p127)) % 0.37/0.61 (step @p129 :rule ho_cong :premises (@p119 @p128)) % 0.37/0.61 (step @p130 :rule trans :premises (@p129 @p124)) % 0.37/0.61 (step @p131 :rule cong :premises (@p130) :args (@t79)) % 0.37/0.61 (step @p132 :rule refl :args (@t74)) % 0.37/0.61 (step @p133 :rule refl :args (@t80)) % 0.37/0.61 (step @p134 :rule cong :premises (@p133 @p132) :args ((= @t80 @t74))) % 0.37/0.61 (step @p135 :rule symm :premises (@p134)) % 0.37/0.61 (step @p136 :rule eq_resolve :premises (@p133 @p135)) % 0.37/0.61 (step @p137 :rule cong :premises (@p96 @p136) :args (@t81)) % 0.37/0.61 (step @p138 :rule cong :premises (@p137) :args (@t82)) % 0.37/0.61 (step @p139 :rule nary_cong :premises (@p138 @p131) :args ((and @t82 @t79))) % 0.37/0.61 (step @p140 :rule alpha_equiv :args (@t83 @t33 (@list @t55))) % 0.37/0.61 (step @p141 :rule alpha_equiv :args (@t85 @t33 (@list @t63))) % 0.37/0.61 (step @p142 :rule nary_cong :premises (@p141 @p140) :args (@t86)) % 0.37/0.61 (step @p143 :rule quant-miniscope-and :args ((= (forall @t6 (and @t84 @t4)) @t86))) % 0.37/0.61 (step @p144 :rule trans :premises (@p143 @p142)) % 0.37/0.61 (step @p145 :rule trans :premises (@p144 @p139)) % 0.37/0.61 (step @p146 :rule refl :args (@t4)) % 0.37/0.61 (step @p147 :rule eq-symm :args (@t3 tptp.coffee)) % 0.37/0.61 (step @p148 :rule nary_cong :premises (@p147 @p146) :args (@t5)) % 0.37/0.61 (step @p149 :rule cong :premises (@p148) :args (@t7)) % 0.37/0.61 (step @p150 :rule trans :premises (@p149 @p145)) % 0.37/0.61 (step @p151 :rule trans :premises (@p150 @p114)) % 0.37/0.61 (step @p152 :rule eq_resolve :premises (@p2 @p151)) % 0.37/0.61 (step @p153 :rule and_elim :premises (@p152) :args (1)) % 0.37/0.61 (step @p154 :rule instantiate :premises (@p153) :args (@t87)) % 0.37/0.61 (step @p155 :rule true_intro :premises (@p154)) % 0.37/0.61 (step @p156 :rule and_elim :premises (@p152) :args (0)) % 0.37/0.61 (step @p157 :rule instantiate :premises (@p156) :args (@t87)) % 0.37/0.61 (step @p158 :rule cong :premises (@p157) :args (@t88)) % 0.37/0.61 (step @p159 :rule trans :premises (@p158 @p155)) % 0.37/0.61 (step @p160 :rule true_elim :premises (@p159)) % 0.37/0.61 (step @p161 :rule aci_norm :args ((= (or false @t89) @t89))) % 0.37/0.61 (step @p162 :rule quant-unused-vars :args ((= (forall @t21 @t88) @t88))) % 0.37/0.61 (step @p163 :rule beta-reduce :args ((= @t91 tptp.coffee))) % 0.37/0.61 (step @p164 :rule cong :premises (@p163) :args (@t92)) % 0.37/0.61 (step @p165 :rule cong :premises (@p164) :args (@t93)) % 0.37/0.61 (step @p166 :rule trans :premises (@p165 @p162)) % 0.37/0.61 (step @p167 :rule cong :premises (@p166) :args (@t94)) % 0.37/0.61 (step @p168 :rule quant-unused-vars :args ((= (forall @t24 true) true))) % 0.37/0.61 (step @p169 :rule eq-refl :args (tptp.coffee)) % 0.37/0.61 (step @p170 :rule beta-reduce :args ((= @t95 tptp.coffee))) % 0.37/0.61 (step @p171 :rule cong :premises (@p100 @p170) :args (@t96)) % 0.37/0.61 (step @p172 :rule trans :premises (@p171 @p169)) % 0.37/0.61 (step @p173 :rule cong :premises (@p172) :args (@t97)) % 0.37/0.61 (step @p174 :rule trans :premises (@p173 @p168)) % 0.37/0.61 (step @p175 :rule cong :premises (@p174) :args (@t98)) % 0.37/0.61 (step @p176 :rule trans :premises (@p175 @p26)) % 0.37/0.61 (step @p177 :rule nary_cong :premises (@p176 @p167) :args (@t99)) % 0.37/0.61 (step @p178 :rule trans :premises (@p177 @p161)) % 0.37/0.61 (step @p179 :rule refl :args (@t26)) % 0.37/0.61 (step @p180 :rule cong :premises (@p179 @p178) :args ((=> @t26 @t99))) % 0.37/0.61 (assume-push @p188 @t26) % 0.37/0.61 (step @p182 :rule instantiate :premises (@p79) :args ((@list @t90))) % 0.37/0.61 (step-pop @p189 :rule scope :premises (@p182)) % 0.37/0.61 (step @p183 :rule process_scope :premises (@p189) :args (@t99)) % 0.37/0.61 (step @p185 :rule eq_resolve :premises (@p183 @p180)) % 0.37/0.61 (step @p186 :rule implies_elim :premises (@p185)) % 0.37/0.61 (step @p187 false :rule chain_m_resolution :premises (@p186 @p160 @p79) :args (false (@list false false) (@list @t88 @t26))) % 0.37/0.61 ) % 0.37/0.61 % SZS output end Proof % 0.37/0.61 % cvc5 exiting %------------------------------------------------------------------------------