%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO103^5 : 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 : n022.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 09:12:02 AM UTC 2026 % Result : Theorem 150.92s 151.30s % Output : Proof 150.92s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SYO103^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n022.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 23:59:08 EDT 2026 % 0.19/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 150.92/151.30 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.92/151.30 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 150.92/151.30 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 150.92/151.30 --- Run --ho-elim --full-saturate-quant at 18s... % 150.92/151.30 % SZS status Theorem % 150.92/151.30 % SZS output start Proof % 150.92/151.30 ( % 150.92/151.30 (declare-sort $$unsorted 0) % 150.92/151.30 (declare-const tptp.nt (-> $$unsorted $$unsorted)) % 150.92/151.30 (declare-const tptp.cT (-> $$unsorted Bool)) % 150.92/151.30 (declare-const tptp.imp (-> $$unsorted $$unsorted $$unsorted)) % 150.92/151.30 (define @t1 () (@var "Xa" $$unsorted)) % 150.92/151.30 (define @t2 () (_ (_ tptp.imp @t1) @t1)) % 150.92/151.30 (define @t3 () (_ tptp.cT @t2)) % 150.92/151.30 (define @t4 () (not @t3)) % 150.92/151.30 (define @t5 () (@list @t1)) % 150.92/151.30 (define @t6 () (exists @t5 @t4)) % 150.92/151.30 (define @t7 () (@var "Xp" $$unsorted)) % 150.92/151.30 (define @t8 () (@var "Xq" $$unsorted)) % 150.92/151.30 (define @t9 () (_ tptp.imp @t8)) % 150.92/151.30 (define @t10 () (_ @t9 @t7)) % 150.92/151.30 (define @t11 () (_ tptp.nt @t8)) % 150.92/151.30 (define @t12 () (_ tptp.nt @t7)) % 150.92/151.30 (define @t13 () (_ (_ tptp.imp @t12) @t11)) % 150.92/151.30 (define @t14 () (_ (_ tptp.imp @t13) @t10)) % 150.92/151.30 (define @t15 () (_ tptp.cT @t14)) % 150.92/151.30 (define @t16 () (@list @t7 @t8)) % 150.92/151.30 (define @t17 () (forall @t16 @t15)) % 150.92/151.30 (define @t18 () (@var "Xr" $$unsorted)) % 150.92/151.30 (define @t19 () (_ tptp.imp @t7)) % 150.92/151.30 (define @t20 () (_ @t19 @t18)) % 150.92/151.30 (define @t21 () (_ @t19 @t8)) % 150.92/151.30 (define @t22 () (_ (_ tptp.imp @t21) @t20)) % 150.92/151.30 (define @t23 () (_ @t9 @t18)) % 150.92/151.30 (define @t24 () (_ @t19 @t23)) % 150.92/151.30 (define @t25 () (_ (_ tptp.imp @t24) @t22)) % 150.92/151.30 (define @t26 () (_ tptp.cT @t25)) % 150.92/151.30 (define @t27 () (@list @t7 @t8 @t18)) % 150.92/151.30 (define @t28 () (forall @t27 @t26)) % 150.92/151.30 (define @t29 () (_ @t19 @t10)) % 150.92/151.30 (define @t30 () (_ tptp.cT @t29)) % 150.92/151.30 (define @t31 () (forall @t16 @t30)) % 150.92/151.30 (define @t32 () (_ tptp.cT @t8)) % 150.92/151.30 (define @t33 () (_ tptp.cT @t7)) % 150.92/151.30 (define @t34 () (not @t33)) % 150.92/151.30 (define @t35 () (_ tptp.cT @t21)) % 150.92/151.30 (define @t36 () (not @t35)) % 150.92/151.30 (define @t37 () (or @t36 @t34 @t32)) % 150.92/151.30 (define @t38 () (forall @t16 @t37)) % 150.92/151.30 (define @t39 () (and @t38 @t31 @t28 @t17 @t6)) % 150.92/151.30 (define @t40 () (@const 0 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted)))) % 150.92/151.30 (define @t41 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted)) $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted))))) % 150.92/151.30 (define @t42 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted))) % 150.92/151.30 (define @t43 () (@const 3 (@ho-elim-sort (-> $$unsorted Bool)))) % 150.92/151.30 (define @t44 () (@const 4 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 150.92/151.30 (define @t45 () (forall @t5 (_ @t44 @t43 (_ @t42 (_ @t41 @t40 @t1) @t1)))) % 150.92/151.30 (define @t46 () (_ @t41 @t40 @t8)) % 150.92/151.30 (define @t47 () (_ @t42 @t46 @t7)) % 150.92/151.30 (define @t48 () (@const 5 (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 150.92/151.30 (define @t49 () (_ @t41 @t40 @t7)) % 150.92/151.30 (define @t50 () (_ @t42 @t49 @t8)) % 150.92/151.30 (define @t51 () (forall @t16 (or (not (_ @t44 @t43 @t50)) (not (_ @t44 @t43 @t7)) (_ @t44 @t43 @t8)))) % 150.92/151.30 (define @t52 () (tptp.imp @t1 @t1)) % 150.92/151.30 (define @t53 () (tptp.cT @t52)) % 150.92/151.30 (define @t54 () (tptp.imp @t8 @t7)) % 150.92/151.30 (define @t55 () (tptp.nt @t8)) % 150.92/151.30 (define @t56 () (tptp.nt @t7)) % 150.92/151.30 (define @t57 () (tptp.imp @t56 @t55)) % 150.92/151.30 (define @t58 () (tptp.imp @t57 @t54)) % 150.92/151.30 (define @t59 () (tptp.cT @t58)) % 150.92/151.30 (define @t60 () (tptp.imp @t7 @t18)) % 150.92/151.30 (define @t61 () (tptp.imp @t7 @t8)) % 150.92/151.30 (define @t62 () (tptp.imp @t61 @t60)) % 150.92/151.30 (define @t63 () (tptp.imp @t8 @t18)) % 150.92/151.30 (define @t64 () (tptp.imp @t7 @t63)) % 150.92/151.30 (define @t65 () (tptp.imp @t64 @t62)) % 150.92/151.30 (define @t66 () (tptp.cT @t65)) % 150.92/151.30 (define @t67 () (tptp.imp @t7 @t54)) % 150.92/151.30 (define @t68 () (tptp.cT @t67)) % 150.92/151.30 (define @t69 () (tptp.cT @t8)) % 150.92/151.30 (define @t70 () (tptp.cT @t7)) % 150.92/151.30 (define @t71 () (tptp.cT @t61)) % 150.92/151.30 (define @t72 () (forall @t5 (not @t4))) % 150.92/151.30 (define @t73 () (not @t72)) % 150.92/151.30 (define @t74 () (@quantifiers_skolemize @t45 0)) % 150.92/151.30 (define @t75 () (_ @t41 @t40 @t74)) % 150.92/151.30 (define @t76 () (_ @t42 @t75 @t74)) % 150.92/151.30 (define @t77 () (_ @t42 @t75 @t76)) % 150.92/151.30 (define @t78 () (_ @t44 @t43 @t76)) % 150.92/151.30 (define @t79 () (_ @t44 @t43 @t77)) % 150.92/151.30 (define @t80 () (not @t79)) % 150.92/151.30 (define @t81 () (_ @t42 (_ @t41 @t40 @t77) @t76)) % 150.92/151.30 (define @t82 () (_ @t44 @t43 @t81)) % 150.92/151.30 (define @t83 () (not @t82)) % 150.92/151.30 (define @t84 () (or @t83 @t80 @t78)) % 150.92/151.30 (define @t85 () (_ @t42 @t75 (_ @t42 (_ @t41 @t40 @t76) @t74))) % 150.92/151.30 (define @t86 () (_ @t44 @t43 @t85)) % 150.92/151.30 (define @t87 () (not @t86)) % 150.92/151.30 (define @t88 () (_ @t44 @t43 (_ @t42 (_ @t41 @t40 @t85) @t81))) % 150.92/151.30 (define @t89 () (not @t88)) % 150.92/151.30 (define @t90 () (or @t89 @t87 @t82)) % 150.92/151.30 (define @t91 () (not @t90)) % 150.92/151.30 (assume @p1 (not (not @t39))) % 150.92/151.30 (assume @p2 true) % 150.92/151.30 ; WARNING: add trust step for TRUST % 150.92/151.30 ; trust TRUST PREPROCESS_HO_ELIM % 150.92/151.30 (step @p3 :rule trust :premises () :args ((= (and (forall @t16 (or (not @t71) (not @t70) @t69)) (forall @t16 @t68) (forall @t27 @t66) (forall @t16 @t59) (not (forall @t5 @t53))) (and @t51 (forall @t16 (_ @t44 @t43 (_ @t42 @t49 @t47))) (forall @t27 (_ @t44 @t43 (_ @t42 (_ @t41 @t40 (_ @t42 @t49 (_ @t42 @t46 @t18))) (_ @t42 (_ @t41 @t40 @t50) (_ @t42 @t49 @t18))))) (forall @t16 (_ @t44 @t43 (_ @t42 (_ @t41 @t40 (_ @t42 (_ @t41 @t40 (_ @t42 @t48 @t7)) (_ @t42 @t48 @t8))) @t47))) (not @t45))))) % 150.92/151.30 (step @p4 :rule refl :args ((tptp.cT @t2))) % 150.92/151.30 (step @p5 :rule refl :args (@t52)) % 150.92/151.30 (step @p6 :rule cong :premises (@p5) :args (@t53)) % 150.92/151.30 (step @p7 :rule trans :premises (@p6 @p4)) % 150.92/151.30 (step @p8 :rule refl :args (tptp.cT)) % 150.92/151.30 (step @p9 :rule ho_cong :premises (@p8 @p5)) % 150.92/151.30 (step @p10 :rule cong :premises (@p9 @p7) :args ((= (_ tptp.cT @t52) @t53))) % 150.92/151.30 (step @p11 :rule symm :premises (@p10)) % 150.92/151.30 (step @p12 :rule refl :args (@t3)) % 150.92/151.30 (step @p13 :rule eq_resolve :premises (@p12 @p11)) % 150.92/151.30 (step @p14 :rule refl :args (@t2)) % 150.92/151.30 (step @p15 :rule cong :premises (@p14 @p5) :args ((= @t2 @t52))) % 150.92/151.30 (step @p16 :rule symm :premises (@p15)) % 150.92/151.30 (step @p17 :rule eq_resolve :premises (@p14 @p16)) % 150.92/151.30 (step @p18 :rule ho_cong :premises (@p8 @p17)) % 150.92/151.30 (step @p19 :rule trans :premises (@p18 @p13)) % 150.92/151.30 (step @p20 :rule cong :premises (@p19) :args ((forall @t5 @t3))) % 150.92/151.30 (step @p21 :rule bool-double-not-elim :args (@t3)) % 150.92/151.30 (step @p22 :rule cong :premises (@p21) :args (@t72)) % 150.92/151.30 (step @p23 :rule trans :premises (@p22 @p20)) % 150.92/151.30 (step @p24 :rule cong :premises (@p23) :args (@t73)) % 150.92/151.30 (step @p25 :rule exists-elim :args ((= @t6 @t73))) % 150.92/151.30 (step @p26 :rule trans :premises (@p25 @p24)) % 150.92/151.30 (step @p27 :rule refl :args ((tptp.cT @t14))) % 150.92/151.30 (step @p28 :rule refl :args ((tptp.imp @t13 @t10))) % 150.92/151.30 (step @p29 :rule refl :args (@t54)) % 150.92/151.30 (step @p30 :rule refl :args ((tptp.imp @t12 @t11))) % 150.92/151.30 (step @p31 :rule refl :args (@t55)) % 150.92/151.30 (step @p32 :rule refl :args (@t56)) % 150.92/151.30 (step @p33 :rule cong :premises (@p32 @p31) :args (@t57)) % 150.92/151.30 (step @p34 :rule trans :premises (@p33 @p30)) % 150.92/151.30 (step @p35 :rule cong :premises (@p34 @p29) :args (@t58)) % 150.92/151.30 (step @p36 :rule trans :premises (@p35 @p28)) % 150.92/151.30 (step @p37 :rule cong :premises (@p36) :args (@t59)) % 150.92/151.30 (step @p38 :rule trans :premises (@p37 @p27)) % 150.92/151.30 (step @p39 :rule ho_cong :premises (@p8 @p36)) % 150.92/151.30 (step @p40 :rule cong :premises (@p39 @p38) :args ((= (_ tptp.cT @t58) @t59))) % 150.92/151.30 (step @p41 :rule symm :premises (@p40)) % 150.92/151.30 (step @p42 :rule refl :args (@t15)) % 150.92/151.30 (step @p43 :rule eq_resolve :premises (@p42 @p41)) % 150.92/151.30 (step @p44 :rule refl :args (tptp.imp)) % 150.92/151.30 (step @p45 :rule ho_cong :premises (@p44 @p34)) % 150.92/151.30 (step @p46 :rule ho_cong :premises (@p45 @p29)) % 150.92/151.30 (step @p47 :rule cong :premises (@p46 @p36) :args ((= (_ (_ tptp.imp @t57) @t54) @t58))) % 150.92/151.30 (step @p48 :rule symm :premises (@p47)) % 150.92/151.30 (step @p49 :rule refl :args (@t14)) % 150.92/151.30 (step @p50 :rule eq_resolve :premises (@p49 @p48)) % 150.92/151.30 (step @p51 :rule refl :args (@t10)) % 150.92/151.30 (step @p52 :rule cong :premises (@p51 @p29) :args ((= @t10 @t54))) % 150.92/151.30 (step @p53 :rule symm :premises (@p52)) % 150.92/151.30 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 150.92/151.30 (step @p55 :rule ho_cong :premises (@p44 @p32)) % 150.92/151.30 (step @p56 :rule ho_cong :premises (@p55 @p31)) % 150.92/151.30 (step @p57 :rule cong :premises (@p56 @p34) :args ((= (_ (_ tptp.imp @t56) @t55) @t57))) % 150.92/151.30 (step @p58 :rule symm :premises (@p57)) % 150.92/151.30 (step @p59 :rule refl :args (@t13)) % 150.92/151.30 (step @p60 :rule eq_resolve :premises (@p59 @p58)) % 150.92/151.30 (step @p61 :rule refl :args (@t11)) % 150.92/151.30 (step @p62 :rule cong :premises (@p61 @p31) :args ((= @t11 @t55))) % 150.92/151.30 (step @p63 :rule symm :premises (@p62)) % 150.92/151.30 (step @p64 :rule eq_resolve :premises (@p61 @p63)) % 150.92/151.30 (step @p65 :rule refl :args (@t12)) % 150.92/151.30 (step @p66 :rule cong :premises (@p65 @p32) :args ((= @t12 @t56))) % 150.92/151.30 (step @p67 :rule symm :premises (@p66)) % 150.92/151.30 (step @p68 :rule eq_resolve :premises (@p65 @p67)) % 150.92/151.30 (step @p69 :rule ho_cong :premises (@p44 @p68)) % 150.92/151.30 (step @p70 :rule ho_cong :premises (@p69 @p64)) % 150.92/151.30 (step @p71 :rule trans :premises (@p70 @p60)) % 150.92/151.30 (step @p72 :rule ho_cong :premises (@p44 @p71)) % 150.92/151.30 (step @p73 :rule ho_cong :premises (@p72 @p54)) % 150.92/151.30 (step @p74 :rule trans :premises (@p73 @p50)) % 150.92/151.30 (step @p75 :rule ho_cong :premises (@p8 @p74)) % 150.92/151.30 (step @p76 :rule trans :premises (@p75 @p43)) % 150.92/151.30 (step @p77 :rule cong :premises (@p76) :args (@t17)) % 150.92/151.30 (step @p78 :rule refl :args ((tptp.cT @t25))) % 150.92/151.30 (step @p79 :rule refl :args ((tptp.imp @t24 @t22))) % 150.92/151.30 (step @p80 :rule refl :args ((tptp.imp @t21 @t20))) % 150.92/151.30 (step @p81 :rule refl :args (@t60)) % 150.92/151.30 (step @p82 :rule refl :args (@t61)) % 150.92/151.30 (step @p83 :rule cong :premises (@p82 @p81) :args (@t62)) % 150.92/151.30 (step @p84 :rule trans :premises (@p83 @p80)) % 150.92/151.30 (step @p85 :rule refl :args ((tptp.imp @t7 @t23))) % 150.92/151.30 (step @p86 :rule refl :args (@t63)) % 150.92/151.30 (step @p87 :rule refl :args (@t7)) % 150.92/151.30 (step @p88 :rule cong :premises (@p87 @p86) :args (@t64)) % 150.92/151.30 (step @p89 :rule trans :premises (@p88 @p85)) % 150.92/151.30 (step @p90 :rule cong :premises (@p89 @p84) :args (@t65)) % 150.92/151.30 (step @p91 :rule trans :premises (@p90 @p79)) % 150.92/151.30 (step @p92 :rule cong :premises (@p91) :args (@t66)) % 150.92/151.30 (step @p93 :rule trans :premises (@p92 @p78)) % 150.92/151.30 (step @p94 :rule ho_cong :premises (@p8 @p91)) % 150.92/151.30 (step @p95 :rule cong :premises (@p94 @p93) :args ((= (_ tptp.cT @t65) @t66))) % 150.92/151.30 (step @p96 :rule symm :premises (@p95)) % 150.92/151.30 (step @p97 :rule refl :args (@t26)) % 150.92/151.30 (step @p98 :rule eq_resolve :premises (@p97 @p96)) % 150.92/151.30 (step @p99 :rule ho_cong :premises (@p44 @p89)) % 150.92/151.30 (step @p100 :rule ho_cong :premises (@p99 @p84)) % 150.92/151.30 (step @p101 :rule cong :premises (@p100 @p91) :args ((= (_ (_ tptp.imp @t64) @t62) @t65))) % 150.92/151.30 (step @p102 :rule symm :premises (@p101)) % 150.92/151.30 (step @p103 :rule refl :args (@t25)) % 150.92/151.30 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 150.92/151.30 (step @p105 :rule ho_cong :premises (@p44 @p82)) % 150.92/151.30 (step @p106 :rule ho_cong :premises (@p105 @p81)) % 150.92/151.30 (step @p107 :rule cong :premises (@p106 @p84) :args ((= (_ (_ tptp.imp @t61) @t60) @t62))) % 150.92/151.30 (step @p108 :rule symm :premises (@p107)) % 150.92/151.30 (step @p109 :rule refl :args (@t22)) % 150.92/151.30 (step @p110 :rule eq_resolve :premises (@p109 @p108)) % 150.92/151.30 (step @p111 :rule refl :args (@t20)) % 150.92/151.30 (step @p112 :rule cong :premises (@p111 @p81) :args ((= @t20 @t60))) % 150.92/151.30 (step @p113 :rule symm :premises (@p112)) % 150.92/151.30 (step @p114 :rule eq_resolve :premises (@p111 @p113)) % 150.92/151.30 (step @p115 :rule refl :args (@t21)) % 150.92/151.30 (step @p116 :rule cong :premises (@p115 @p82) :args ((= @t21 @t61))) % 150.92/151.30 (step @p117 :rule symm :premises (@p116)) % 150.92/151.30 (step @p118 :rule eq_resolve :premises (@p115 @p117)) % 150.92/151.30 (step @p119 :rule ho_cong :premises (@p44 @p118)) % 150.92/151.30 (step @p120 :rule ho_cong :premises (@p119 @p114)) % 150.92/151.30 (step @p121 :rule trans :premises (@p120 @p110)) % 150.92/151.30 (step @p122 :rule refl :args (@t19)) % 150.92/151.30 (step @p123 :rule ho_cong :premises (@p122 @p86)) % 150.92/151.30 (step @p124 :rule cong :premises (@p123 @p89) :args ((= (_ @t19 @t63) @t64))) % 150.92/151.30 (step @p125 :rule symm :premises (@p124)) % 150.92/151.30 (step @p126 :rule refl :args (@t24)) % 150.92/151.30 (step @p127 :rule eq_resolve :premises (@p126 @p125)) % 150.92/151.30 (step @p128 :rule refl :args (@t23)) % 150.92/151.30 (step @p129 :rule cong :premises (@p128 @p86) :args ((= @t23 @t63))) % 150.92/151.30 (step @p130 :rule symm :premises (@p129)) % 150.92/151.30 (step @p131 :rule eq_resolve :premises (@p128 @p130)) % 150.92/151.30 (step @p132 :rule ho_cong :premises (@p122 @p131)) % 150.92/151.30 (step @p133 :rule trans :premises (@p132 @p127)) % 150.92/151.30 (step @p134 :rule ho_cong :premises (@p44 @p133)) % 150.92/151.30 (step @p135 :rule ho_cong :premises (@p134 @p121)) % 150.92/151.30 (step @p136 :rule trans :premises (@p135 @p104)) % 150.92/151.30 (step @p137 :rule ho_cong :premises (@p8 @p136)) % 150.92/151.30 (step @p138 :rule trans :premises (@p137 @p98)) % 150.92/151.30 (step @p139 :rule cong :premises (@p138) :args (@t28)) % 150.92/151.30 (step @p140 :rule refl :args ((tptp.cT @t29))) % 150.92/151.30 (step @p141 :rule refl :args ((tptp.imp @t7 @t10))) % 150.92/151.30 (step @p142 :rule cong :premises (@p87 @p29) :args (@t67)) % 150.92/151.30 (step @p143 :rule trans :premises (@p142 @p141)) % 150.92/151.30 (step @p144 :rule cong :premises (@p143) :args (@t68)) % 150.92/151.30 (step @p145 :rule trans :premises (@p144 @p140)) % 150.92/151.30 (step @p146 :rule ho_cong :premises (@p8 @p143)) % 150.92/151.30 (step @p147 :rule cong :premises (@p146 @p145) :args ((= (_ tptp.cT @t67) @t68))) % 150.92/151.30 (step @p148 :rule symm :premises (@p147)) % 150.92/151.30 (step @p149 :rule refl :args (@t30)) % 150.92/151.30 (step @p150 :rule eq_resolve :premises (@p149 @p148)) % 150.92/151.30 (step @p151 :rule ho_cong :premises (@p122 @p29)) % 150.92/151.30 (step @p152 :rule cong :premises (@p151 @p143) :args ((= (_ @t19 @t54) @t67))) % 150.92/151.30 (step @p153 :rule symm :premises (@p152)) % 150.92/151.30 (step @p154 :rule refl :args (@t29)) % 150.92/151.30 (step @p155 :rule eq_resolve :premises (@p154 @p153)) % 150.92/151.30 (step @p156 :rule ho_cong :premises (@p122 @p54)) % 150.92/151.30 (step @p157 :rule trans :premises (@p156 @p155)) % 150.92/151.30 (step @p158 :rule ho_cong :premises (@p8 @p157)) % 150.92/151.30 (step @p159 :rule trans :premises (@p158 @p150)) % 150.92/151.30 (step @p160 :rule cong :premises (@p159) :args (@t31)) % 150.92/151.30 (step @p161 :rule refl :args (@t69)) % 150.92/151.30 (step @p162 :rule refl :args (@t32)) % 150.92/151.30 (step @p163 :rule cong :premises (@p162 @p161) :args ((= @t32 @t69))) % 150.92/151.30 (step @p164 :rule symm :premises (@p163)) % 150.92/151.30 (step @p165 :rule eq_resolve :premises (@p162 @p164)) % 150.92/151.30 (step @p166 :rule refl :args (@t70)) % 150.92/151.30 (step @p167 :rule refl :args (@t33)) % 150.92/151.30 (step @p168 :rule cong :premises (@p167 @p166) :args ((= @t33 @t70))) % 150.92/151.30 (step @p169 :rule symm :premises (@p168)) % 150.92/151.30 (step @p170 :rule eq_resolve :premises (@p167 @p169)) % 150.92/151.30 (step @p171 :rule cong :premises (@p170) :args (@t34)) % 150.92/151.30 (step @p172 :rule refl :args ((tptp.cT @t21))) % 150.92/151.30 (step @p173 :rule cong :premises (@p82) :args (@t71)) % 150.92/151.30 (step @p174 :rule trans :premises (@p173 @p172)) % 150.92/151.30 (step @p175 :rule ho_cong :premises (@p8 @p82)) % 150.92/151.30 (step @p176 :rule cong :premises (@p175 @p174) :args ((= (_ tptp.cT @t61) @t71))) % 150.92/151.30 (step @p177 :rule symm :premises (@p176)) % 150.92/151.30 (step @p178 :rule refl :args (@t35)) % 150.92/151.30 (step @p179 :rule eq_resolve :premises (@p178 @p177)) % 150.92/151.30 (step @p180 :rule ho_cong :premises (@p8 @p118)) % 150.92/151.30 (step @p181 :rule trans :premises (@p180 @p179)) % 150.92/151.30 (step @p182 :rule cong :premises (@p181) :args (@t36)) % 150.92/151.30 (step @p183 :rule nary_cong :premises (@p182 @p171 @p165) :args (@t37)) % 150.92/151.30 (step @p184 :rule cong :premises (@p183) :args (@t38)) % 150.92/151.30 (step @p185 :rule nary_cong :premises (@p184 @p160 @p139 @p77 @p26) :args (@t39)) % 150.92/151.30 (step @p186 :rule bool-double-not-elim :args (@t39)) % 150.92/151.30 (step @p187 :rule trans :premises (@p186 @p185)) % 150.92/151.30 (step @p188 :rule trans :premises (@p187 @p3)) % 150.92/151.30 (step @p189 :rule eq_resolve :premises (@p1 @p188)) % 150.92/151.30 (step @p190 :rule and_elim :premises (@p189) :args (0)) % 150.92/151.30 (step @p191 :rule and_elim :premises (@p189) :args (2)) % 150.92/151.30 (step @p192 :rule instantiate :premises (@p191) :args ((@list @t74 @t76 @t74))) % 150.92/151.30 (step @p193 :rule instantiate :premises (@p190) :args ((@list @t77 @t76))) % 150.92/151.30 (step @p194 :rule and_elim :premises (@p189) :args (1)) % 150.92/151.30 (step @p195 :rule instantiate :premises (@p194) :args ((@list @t74 @t74))) % 150.92/151.30 (step @p196 :rule and_elim :premises (@p189) :args (4)) % 150.92/151.30 (step @p197 :rule skolemize :premises (@p196)) % 150.92/151.30 (step @p198 :rule cnf_or_pos :args (@t84)) % 150.92/151.30 (step @p199 :rule reordering :premises (@p198) :args ((or @t78 @t80 @t83 (not @t84)))) % 150.92/151.30 (step @p200 :rule chain_m_resolution :premises (@p199 @p197 @p195 @p193) :args (@t83 (@list true false false) (@list @t78 @t79 @t84))) % 150.92/151.30 (step @p201 :rule instantiate :premises (@p194) :args ((@list @t74 @t76))) % 150.92/151.30 (step @p202 :rule cnf_or_pos :args (@t90)) % 150.92/151.30 (step @p203 :rule reordering :premises (@p202) :args ((or @t87 @t82 @t89 @t91))) % 150.92/151.30 (step @p204 :rule chain_m_resolution :premises (@p203 @p201 @p200 @p192) :args (@t91 (@list false true false) (@list @t86 @t82 @t88))) % 150.92/151.30 (assume-push @p211 @t51) % 150.92/151.30 (step @p206 :rule instantiate :premises (@p190) :args ((@list @t85 @t81))) % 150.92/151.30 (step-pop @p212 :rule scope :premises (@p206)) % 150.92/151.30 (step @p207 :rule process_scope :premises (@p212) :args (@t90)) % 150.92/151.30 (step @p209 :rule implies_elim :premises (@p207)) % 150.92/151.30 (step @p210 false :rule chain_m_resolution :premises (@p209 @p204 @p190) :args (false (@list true false) (@list @t90 @t51))) % 150.92/151.30 ) % 150.92/151.30 % SZS output end Proof % 150.92/151.30 % cvc5 exiting %------------------------------------------------------------------------------