%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ108^5 : TPTP v9.2.1. Bugfixed v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:44:13 AM UTC 2026 % Result : Theorem 1.01s 1.20s % Output : Proof 1.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ108^5 : TPTP v9.2.1. Bugfixed v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n023.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 13:19:13 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.48 %----Proving TH0 % 1.01/1.20 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.01/1.20 % SZS status Theorem % 1.01/1.20 % SZS output start Proof % 1.01/1.20 ( % 1.01/1.20 (declare-sort $$unsorted 0) % 1.01/1.20 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 1.01/1.20 (define tptp.cCKB_E2 () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xp" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Xu" $$unsorted))) (let ((_let_4 (@var "Xx" $$unsorted))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (and (_ _let_2 _let_4) (forall (@list _let_3) (=> (_ _let_2 _let_3) (_ _let_2 (_ tptp.s (_ tptp.s _let_3)))))) (_ _let_2 _let_1))))))))) % 1.01/1.20 (define @t1 () (@var "Xy" $$unsorted)) % 1.01/1.20 (define @t2 () (_ tptp.s @t1)) % 1.01/1.20 (define @t3 () (@var "Xx" $$unsorted)) % 1.01/1.20 (define @t4 () (_ tptp.s @t3)) % 1.01/1.20 (define @t5 () (=> (_ (_ tptp.cCKB_E2 @t3) @t1) (_ (_ tptp.cCKB_E2 @t4) @t2))) % 1.01/1.20 (define @t6 () (@list @t3 @t1)) % 1.01/1.20 (define @t7 () (forall @t6 @t5)) % 1.01/1.20 (define @t8 () (not @t7)) % 1.01/1.20 (define @t9 () (@var "Xp" (-> $$unsorted Bool))) % 1.01/1.20 (define @t10 () (_ @t9 @t1)) % 1.01/1.20 (define @t11 () (@var "Xu" $$unsorted)) % 1.01/1.20 (define @t12 () (_ tptp.s @t11)) % 1.01/1.20 (define @t13 () (_ tptp.s @t12)) % 1.01/1.20 (define @t14 () (_ @t9 @t13)) % 1.01/1.20 (define @t15 () (_ @t9 @t11)) % 1.01/1.20 (define @t16 () (@list @t11)) % 1.01/1.20 (define @t17 () (forall @t16 (=> @t15 @t14))) % 1.01/1.20 (define @t18 () (_ @t9 @t3)) % 1.01/1.20 (define @t19 () (and @t18 @t17)) % 1.01/1.20 (define @t20 () (=> @t19 @t10)) % 1.01/1.20 (define @t21 () (@list @t9)) % 1.01/1.20 (define @t22 () (forall @t21 @t20)) % 1.01/1.20 (define @t23 () (lambda @t6 @t22)) % 1.01/1.20 (define @t24 () (tptp.s @t1)) % 1.01/1.20 (define @t25 () (@var "BOUND_VARIABLE_7510" (-> $$unsorted Bool))) % 1.01/1.20 (define @t26 () (_ @t25 @t24)) % 1.01/1.20 (define @t27 () (tptp.s @t11)) % 1.01/1.20 (define @t28 () (tptp.s @t27)) % 1.01/1.20 (define @t29 () (not (forall @t16 (or (not (_ @t25 @t11)) (_ @t25 @t28))))) % 1.01/1.20 (define @t30 () (tptp.s @t3)) % 1.01/1.20 (define @t31 () (not (_ @t25 @t30))) % 1.01/1.20 (define @t32 () (_ @t9 @t1)) % 1.01/1.20 (define @t33 () (_ @t9 @t28)) % 1.01/1.20 (define @t34 () (_ @t9 @t11)) % 1.01/1.20 (define @t35 () (forall @t16 (or (not @t34) @t33))) % 1.01/1.20 (define @t36 () (not @t35)) % 1.01/1.20 (define @t37 () (_ @t9 @t3)) % 1.01/1.20 (define @t38 () (forall @t21 (or (not @t37) @t36 @t32))) % 1.01/1.20 (define @t39 () (not @t38)) % 1.01/1.20 (define @t40 () (or @t39 @t31 @t29 @t26)) % 1.01/1.20 (define @t41 () (or @t31 @t29 @t26)) % 1.01/1.20 (define @t42 () (or @t39 @t41)) % 1.01/1.20 (define @t43 () (@list @t3 @t1 @t25)) % 1.01/1.20 (define @t44 () (forall @t43 @t42)) % 1.01/1.20 (define @t45 () (@list @t25)) % 1.01/1.20 (define @t46 () (forall @t45 @t42)) % 1.01/1.20 (define @t47 () (forall @t45 @t41)) % 1.01/1.20 (define @t48 () (or @t39 @t47)) % 1.01/1.20 (define @t49 () (not (_ @t9 @t30))) % 1.01/1.20 (define @t50 () (forall @t21 (or @t49 @t36 (_ @t9 @t24)))) % 1.01/1.20 (define @t51 () (_ @t9 @t2)) % 1.01/1.20 (define @t52 () (or @t49 @t36 @t51)) % 1.01/1.20 (define @t53 () (forall @t21 @t52)) % 1.01/1.20 (define @t54 () (@list @t1)) % 1.01/1.20 (define @t55 () (_ @t9 @t4)) % 1.01/1.20 (define @t56 () (not @t55)) % 1.01/1.20 (define @t57 () (or @t56 @t36 @t32)) % 1.01/1.20 (define @t58 () (forall @t21 @t57)) % 1.01/1.20 (define @t59 () (lambda @t54 @t58)) % 1.01/1.20 (define @t60 () (lambda @t6 @t38)) % 1.01/1.20 (define @t61 () (_ @t60 @t4)) % 1.01/1.20 (define @t62 () (lambda @t54 @t38)) % 1.01/1.20 (define @t63 () (_ @t60 @t3)) % 1.01/1.20 (define @t64 () (=> (_ @t63 @t1) (_ @t61 @t2))) % 1.01/1.20 (define @t65 () (forall @t6 @t64)) % 1.01/1.20 (define @t66 () (not @t18)) % 1.01/1.20 (define @t67 () (or @t66 @t36 @t10)) % 1.01/1.20 (define @t68 () (and @t18 @t35)) % 1.01/1.20 (define @t69 () (not @t15)) % 1.01/1.20 (define @t70 () (or @t69 @t14)) % 1.01/1.20 (define @t71 () (forall @t43 @t40)) % 1.01/1.20 (define @t72 () (@quantifiers_skolemize @t71 2)) % 1.01/1.20 (define @t73 () (forall @t16 (or (not (_ @t72 @t11)) (_ @t72 @t28)))) % 1.01/1.20 (define @t74 () (@quantifiers_skolemize @t71 1)) % 1.01/1.20 (define @t75 () (_ @t72 (tptp.s @t74))) % 1.01/1.20 (define @t76 () (not @t73)) % 1.01/1.20 (define @t77 () (@quantifiers_skolemize @t71 0)) % 1.01/1.20 (define @t78 () (_ @t72 (tptp.s @t77))) % 1.01/1.20 (define @t79 () (not @t78)) % 1.01/1.20 (define @t80 () (forall @t21 (or (not (_ @t9 @t77)) @t36 (_ @t9 @t74)))) % 1.01/1.20 (define @t81 () (not @t80)) % 1.01/1.20 (define @t82 () (or @t81 @t79 @t76 @t75)) % 1.01/1.20 (define @t83 () (@list true)) % 1.01/1.20 (define @t84 () (@list @t82)) % 1.01/1.20 (define @t85 () (@var "BOUND_VARIABLE_21938" $$unsorted)) % 1.01/1.20 (define @t86 () (lambda (@list @t85) (_ @t72 (tptp.s @t85)))) % 1.01/1.20 (define @t87 () (_ @t86 @t74)) % 1.01/1.20 (define @t88 () (_ @t72 (tptp.s @t28))) % 1.01/1.20 (define @t89 () (_ @t86 @t28)) % 1.01/1.20 (define @t90 () (_ @t72 @t27)) % 1.01/1.20 (define @t91 () (_ @t86 @t11)) % 1.01/1.20 (define @t92 () (not @t91)) % 1.01/1.20 (define @t93 () (or @t92 @t89)) % 1.01/1.20 (define @t94 () (forall @t16 @t93)) % 1.01/1.20 (define @t95 () (not @t94)) % 1.01/1.20 (define @t96 () (_ @t86 @t77)) % 1.01/1.20 (define @t97 () (not @t96)) % 1.01/1.20 (define @t98 () (or @t97 @t95 @t87)) % 1.01/1.20 (define @t99 () (forall @t16 (or (not @t90) @t88))) % 1.01/1.20 (define @t100 () (not @t99)) % 1.01/1.20 (define @t101 () (or @t79 @t100 @t75)) % 1.01/1.20 (define @t102 () (tptp.s (@quantifiers_skolemize @t99 0))) % 1.01/1.20 (define @t103 () (or (not (_ @t72 @t102)) (_ @t72 (tptp.s (tptp.s @t102))))) % 1.01/1.20 (assume @p1 @t8) % 1.01/1.20 (assume @p2 true) % 1.01/1.20 (step @p3 (= tptp.cCKB_E2 @t23) :rule refl :args (@t23)) % 1.01/1.20 (step @p4 :rule aci_norm :args ((= @t42 @t40))) % 1.01/1.20 (step @p5 :rule cong :premises (@p4) :args (@t44)) % 1.01/1.20 (step @p6 :rule quant-merge-prenex :args ((= (forall @t6 @t46) @t44))) % 1.01/1.20 (step @p7 :rule alpha_equiv :args (@t47 (@list @t25) (@list @t9))) % 1.01/1.20 (step @p8 :rule refl :args (@t39)) % 1.01/1.20 (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t48)) % 1.01/1.20 (step @p10 :rule quant-miniscope-or :args ((= @t46 @t48))) % 1.01/1.20 (step @p11 :rule trans :premises (@p10 @p9)) % 1.01/1.20 (step @p12 :rule symm :premises (@p11)) % 1.01/1.20 (step @p13 :rule cong :premises (@p12) :args ((forall @t6 (or @t39 @t50)))) % 1.01/1.20 (step @p14 :rule trans :premises (@p13 @p6)) % 1.01/1.20 (step @p15 :rule trans :premises (@p14 @p5)) % 1.01/1.20 (step @p16 :rule bool-impl-elim :args (@t38 @t50)) % 1.01/1.20 (step @p17 :rule cong :premises (@p16) :args ((forall @t6 (=> @t38 @t50)))) % 1.01/1.20 (step @p18 :rule trans :premises (@p17 @p15)) % 1.01/1.20 (step @p19 :rule refl :args (@t24)) % 1.01/1.20 (step @p20 :rule refl :args (@t2)) % 1.01/1.20 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t2 @t24))) % 1.01/1.20 (step @p22 :rule symm :premises (@p21)) % 1.01/1.20 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 1.01/1.20 (step @p24 :rule cong :premises (@p23) :args (@t51)) % 1.01/1.20 (step @p25 :rule refl :args (@t36)) % 1.01/1.20 (step @p26 :rule refl :args (@t49)) % 1.01/1.20 (step @p27 :rule nary_cong :premises (@p26 @p25 @p24) :args (@t52)) % 1.01/1.20 (step @p28 :rule cong :premises (@p27) :args (@t53)) % 1.01/1.20 (step @p29 :rule beta-reduce :args ((= (_ (lambda @t54 (forall @t21 (or @t49 @t36 @t32))) @t2) @t53))) % 1.01/1.20 (step @p30 :rule trans :premises (@p29 @p28)) % 1.01/1.20 (step @p31 :rule refl :args (@t2)) % 1.01/1.20 (step @p32 :rule refl :args (@t32)) % 1.01/1.20 (step @p33 :rule refl :args (@t30)) % 1.01/1.20 (step @p34 :rule refl :args (@t4)) % 1.01/1.20 (step @p35 :rule cong :premises (@p34 @p33) :args ((= @t4 @t30))) % 1.01/1.20 (step @p36 :rule symm :premises (@p35)) % 1.01/1.20 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 1.01/1.20 (step @p38 :rule cong :premises (@p37) :args (@t55)) % 1.01/1.20 (step @p39 :rule cong :premises (@p38) :args (@t56)) % 1.01/1.20 (step @p40 :rule nary_cong :premises (@p39 @p25 @p32) :args (@t57)) % 1.01/1.20 (step @p41 :rule cong :premises (@p40) :args (@t58)) % 1.01/1.20 (step @p42 :rule cong :premises (@p41) :args (@t59)) % 1.01/1.20 (step @p43 :rule beta-reduce :args ((= @t61 @t59))) % 1.01/1.20 (step @p44 :rule trans :premises (@p43 @p42)) % 1.01/1.20 (step @p45 :rule ho_cong :premises (@p44 @p31)) % 1.01/1.20 (step @p46 :rule trans :premises (@p45 @p30)) % 1.01/1.20 (step @p47 :rule beta-reduce :args ((= (_ @t62 @t1) @t38))) % 1.01/1.20 (step @p48 :rule refl :args (@t1)) % 1.01/1.20 (step @p49 :rule beta-reduce :args ((= @t63 @t62))) % 1.01/1.20 (step @p50 :rule ho_cong :premises (@p49 @p48)) % 1.01/1.20 (step @p51 :rule trans :premises (@p50 @p47)) % 1.01/1.20 (step @p52 :rule cong :premises (@p51 @p46) :args (@t64)) % 1.01/1.20 (step @p53 :rule cong :premises (@p52) :args (@t65)) % 1.01/1.20 (step @p54 :rule trans :premises (@p53 @p18)) % 1.01/1.20 (step @p55 :rule cong :premises (@p54) :args ((not @t65))) % 1.01/1.20 (step @p56 :rule refl :args (@t4)) % 1.01/1.20 (step @p57 :rule refl :args (@t32)) % 1.01/1.20 (step @p58 :rule refl :args (@t10)) % 1.01/1.20 (step @p59 :rule cong :premises (@p58 @p57) :args ((= @t10 @t32))) % 1.01/1.20 (step @p60 :rule symm :premises (@p59)) % 1.01/1.20 (step @p61 :rule eq_resolve :premises (@p58 @p60)) % 1.01/1.20 (step @p62 :rule refl :args (@t37)) % 1.01/1.20 (step @p63 :rule refl :args (@t18)) % 1.01/1.20 (step @p64 :rule cong :premises (@p63 @p62) :args ((= @t18 @t37))) % 1.01/1.20 (step @p65 :rule symm :premises (@p64)) % 1.01/1.20 (step @p66 :rule eq_resolve :premises (@p63 @p65)) % 1.01/1.20 (step @p67 :rule cong :premises (@p66) :args (@t66)) % 1.01/1.20 (step @p68 :rule nary_cong :premises (@p67 @p25 @p61) :args (@t67)) % 1.01/1.20 (step @p69 :rule cong :premises (@p68) :args ((forall @t21 @t67))) % 1.01/1.20 (step @p70 :rule aci_norm :args ((= (or (or @t66 @t36) @t10) @t67))) % 1.01/1.20 (step @p71 :rule bool-and-de-morgan :args (@t18 @t35 true)) % 1.01/1.20 (step @p72 :rule nary_cong :premises (@p71 @p58) :args ((or (not @t68) @t10))) % 1.01/1.20 (step @p73 :rule trans :premises (@p72 @p70)) % 1.01/1.20 (step @p74 :rule bool-impl-elim :args (@t68 @t10)) % 1.01/1.20 (step @p75 :rule trans :premises (@p74 @p73)) % 1.01/1.20 (step @p76 :rule cong :premises (@p75) :args ((forall @t21 (=> @t68 @t10)))) % 1.01/1.20 (step @p77 :rule trans :premises (@p76 @p69)) % 1.01/1.20 (step @p78 :rule refl :args (@t10)) % 1.01/1.20 (step @p79 :rule refl :args ((_ @t9 @t13))) % 1.01/1.20 (step @p80 :rule refl :args ((tptp.s @t12))) % 1.01/1.20 (step @p81 :rule refl :args (@t27)) % 1.01/1.20 (step @p82 :rule cong :premises (@p81) :args (@t28)) % 1.01/1.20 (step @p83 :rule trans :premises (@p82 @p80)) % 1.01/1.20 (step @p84 :rule cong :premises (@p83) :args (@t33)) % 1.01/1.20 (step @p85 :rule trans :premises (@p84 @p79)) % 1.01/1.20 (step @p86 :rule refl :args (@t9)) % 1.01/1.20 (step @p87 :rule ho_cong :premises (@p86 @p83)) % 1.01/1.20 (step @p88 :rule cong :premises (@p87 @p85) :args ((= (_ @t9 @t28) @t33))) % 1.01/1.20 (step @p89 :rule symm :premises (@p88)) % 1.01/1.20 (step @p90 :rule refl :args (@t14)) % 1.01/1.20 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 1.01/1.20 (step @p92 :rule refl :args (tptp.s)) % 1.01/1.20 (step @p93 :rule ho_cong :premises (@p92 @p81)) % 1.01/1.20 (step @p94 :rule cong :premises (@p93 @p83) :args ((= (_ tptp.s @t27) @t28))) % 1.01/1.20 (step @p95 :rule symm :premises (@p94)) % 1.01/1.20 (step @p96 :rule refl :args (@t13)) % 1.01/1.20 (step @p97 :rule eq_resolve :premises (@p96 @p95)) % 1.01/1.20 (step @p98 :rule refl :args (@t12)) % 1.01/1.20 (step @p99 :rule cong :premises (@p98 @p81) :args ((= @t12 @t27))) % 1.01/1.20 (step @p100 :rule symm :premises (@p99)) % 1.01/1.20 (step @p101 :rule eq_resolve :premises (@p98 @p100)) % 1.01/1.20 (step @p102 :rule ho_cong :premises (@p92 @p101)) % 1.01/1.20 (step @p103 :rule trans :premises (@p102 @p97)) % 1.01/1.20 (step @p104 :rule ho_cong :premises (@p86 @p103)) % 1.01/1.20 (step @p105 :rule trans :premises (@p104 @p91)) % 1.01/1.20 (step @p106 :rule refl :args (@t34)) % 1.01/1.20 (step @p107 :rule refl :args (@t15)) % 1.01/1.20 (step @p108 :rule cong :premises (@p107 @p106) :args ((= @t15 @t34))) % 1.01/1.20 (step @p109 :rule symm :premises (@p108)) % 1.01/1.20 (step @p110 :rule eq_resolve :premises (@p107 @p109)) % 1.01/1.20 (step @p111 :rule cong :premises (@p110) :args (@t69)) % 1.01/1.20 (step @p112 :rule nary_cong :premises (@p111 @p105) :args (@t70)) % 1.01/1.20 (step @p113 :rule cong :premises (@p112) :args ((forall @t16 @t70))) % 1.01/1.20 (step @p114 :rule bool-impl-elim :args (@t15 @t14)) % 1.01/1.20 (step @p115 :rule cong :premises (@p114) :args (@t17)) % 1.01/1.20 (step @p116 :rule trans :premises (@p115 @p113)) % 1.01/1.20 (step @p117 :rule refl :args (@t18)) % 1.01/1.20 (step @p118 :rule nary_cong :premises (@p117 @p116) :args (@t19)) % 1.01/1.20 (step @p119 :rule cong :premises (@p118 @p78) :args (@t20)) % 1.01/1.20 (step @p120 :rule cong :premises (@p119) :args (@t22)) % 1.01/1.20 (step @p121 :rule trans :premises (@p120 @p77)) % 1.01/1.20 (step @p122 :rule cong :premises (@p121) :args (@t23)) % 1.01/1.20 (step @p123 :rule trans :premises (@p3 @p122)) % 1.01/1.20 (step @p124 :rule ho_cong :premises (@p123 @p56)) % 1.01/1.20 (step @p125 :rule ho_cong :premises (@p124 @p31)) % 1.01/1.20 (step @p126 :rule refl :args (@t3)) % 1.01/1.20 (step @p127 :rule ho_cong :premises (@p123 @p126)) % 1.01/1.20 (step @p128 :rule ho_cong :premises (@p127 @p48)) % 1.01/1.20 (step @p129 :rule cong :premises (@p128 @p125) :args (@t5)) % 1.01/1.20 (step @p130 :rule cong :premises (@p129) :args (@t7)) % 1.01/1.20 (step @p131 :rule cong :premises (@p130) :args (@t8)) % 1.01/1.20 (step @p132 :rule trans :premises (@p131 @p55)) % 1.01/1.20 (step @p133 :rule eq_resolve :premises (@p1 @p132)) % 1.01/1.20 (step @p134 :rule skolemize :premises (@p133)) % 1.01/1.20 (step @p135 :rule bool-double-not-elim :args (@t73)) % 1.01/1.20 (step @p136 :rule refl :args (@t82)) % 1.01/1.20 (step @p137 :rule nary_cong :premises (@p136 @p135) :args ((or @t82 (not @t76)))) % 1.01/1.20 (step @p138 :rule cnf_or_neg :args (@t82 2)) % 1.01/1.20 (step @p139 :rule eq_resolve :premises (@p138 @p137)) % 1.01/1.20 (step @p140 :rule reordering :premises (@p139) :args ((or @t73 @t82))) % 1.01/1.20 (step @p141 :rule chain_m_resolution :premises (@p140 @p134) :args (@t73 @t83 @t84)) % 1.01/1.20 (step @p142 :rule bool-double-not-elim :args (@t80)) % 1.01/1.20 (step @p143 :rule nary_cong :premises (@p136 @p142) :args ((or @t82 (not @t81)))) % 1.01/1.20 (step @p144 :rule cnf_or_neg :args (@t82 0)) % 1.01/1.20 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 1.01/1.20 (step @p146 :rule reordering :premises (@p145) :args ((or @t80 @t82))) % 1.01/1.20 (step @p147 :rule chain_m_resolution :premises (@p146 @p134) :args (@t80 @t83 @t84)) % 1.01/1.20 (step @p148 :rule beta-reduce :args ((= @t87 @t75))) % 1.01/1.20 (step @p149 :rule beta-reduce :args ((= @t89 @t88))) % 1.01/1.20 (step @p150 :rule beta-reduce :args ((= @t91 @t90))) % 1.01/1.20 (step @p151 :rule cong :premises (@p150) :args (@t92)) % 1.01/1.21 (step @p152 :rule nary_cong :premises (@p151 @p149) :args (@t93)) % 1.01/1.21 (step @p153 :rule cong :premises (@p152) :args (@t94)) % 1.01/1.21 (step @p154 :rule cong :premises (@p153) :args (@t95)) % 1.01/1.21 (step @p155 :rule beta-reduce :args ((= @t96 @t78))) % 1.01/1.21 (step @p156 :rule cong :premises (@p155) :args (@t97)) % 1.01/1.21 (step @p157 :rule nary_cong :premises (@p156 @p154 @p148) :args (@t98)) % 1.01/1.21 (step @p158 :rule refl :args (@t80)) % 1.01/1.21 (step @p159 :rule cong :premises (@p158 @p157) :args ((=> @t80 @t98))) % 1.01/1.21 (assume-push @p185 @t80) % 1.01/1.21 (step @p161 :rule instantiate :premises (@p147) :args ((@list @t86))) % 1.01/1.21 (step-pop @p186 :rule scope :premises (@p161)) % 1.01/1.21 (step @p162 :rule process_scope :premises (@p186) :args (@t98)) % 1.01/1.21 (step @p164 :rule eq_resolve :premises (@p162 @p159)) % 1.01/1.21 (step @p165 :rule implies_elim :premises (@p164)) % 1.01/1.21 (step @p166 :rule chain_m_resolution :premises (@p165 @p147) :args (@t101 (@list false) (@list @t80))) % 1.01/1.21 (step @p167 :rule cnf_or_neg :args (@t82 3)) % 1.01/1.21 (step @p168 :rule chain_m_resolution :premises (@p167 @p134) :args ((not @t75) @t83 @t84)) % 1.01/1.21 (step @p169 :rule bool-double-not-elim :args (@t78)) % 1.01/1.21 (step @p170 :rule nary_cong :premises (@p136 @p169) :args ((or @t82 (not @t79)))) % 1.01/1.21 (step @p171 :rule cnf_or_neg :args (@t82 1)) % 1.01/1.21 (step @p172 :rule eq_resolve :premises (@p171 @p170)) % 1.01/1.21 (step @p173 :rule reordering :premises (@p172) :args ((or @t78 @t82))) % 1.01/1.21 (step @p174 :rule chain_m_resolution :premises (@p173 @p134) :args (@t78 @t83 @t84)) % 1.01/1.21 (step @p175 :rule cnf_or_pos :args (@t101)) % 1.01/1.21 (step @p176 :rule reordering :premises (@p175) :args ((or @t79 @t75 @t100 (not @t101)))) % 1.01/1.21 (step @p177 :rule chain_m_resolution :premises (@p176 @p174 @p168 @p166) :args (@t100 (@list false true false) (@list @t78 @t75 @t101))) % 1.01/1.21 (step @p178 :rule skolemize :premises (@p177)) % 1.01/1.21 (assume-push @p187 @t73) % 1.01/1.21 (step @p180 :rule instantiate :premises (@p141) :args ((@list @t102))) % 1.01/1.21 (step-pop @p188 :rule scope :premises (@p180)) % 1.01/1.21 (step @p181 :rule process_scope :premises (@p188) :args (@t103)) % 1.01/1.21 (step @p183 :rule implies_elim :premises (@p181)) % 1.01/1.21 (step @p184 false :rule chain_m_resolution :premises (@p183 @p178 @p141) :args (false (@list true false) (@list @t103 @t73))) % 1.01/1.21 ) % 1.01/1.21 % SZS output end Proof % 1.01/1.21 % cvc5 exiting %------------------------------------------------------------------------------