%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM762^1 : 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 : n013.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 08:40:36 AM UTC 2026 % Result : Theorem 151.43s 151.87s % Output : Proof 151.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : NUM762^1 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n013.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 12:15:30 EDT 2026 % 0.16/0.33 % CPUTime : % 0.29/0.48 %----Proving TH0 % 151.43/151.87 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 151.43/151.87 --- 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... % 151.43/151.87 --- 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... % 151.43/151.87 --- Run --ho-elim --full-saturate-quant at 18s... % 151.43/151.87 % SZS status Theorem % 151.43/151.87 % SZS output start Proof % 151.43/151.87 ( % 151.43/151.87 (declare-sort tptp.frac 0) % 151.43/151.87 (declare-const tptp.pf (-> tptp.frac tptp.frac tptp.frac)) % 151.43/151.87 (declare-const tptp.z tptp.frac) % 151.43/151.87 (declare-const tptp.eq (-> tptp.frac tptp.frac Bool)) % 151.43/151.87 (declare-const tptp.u tptp.frac) % 151.43/151.87 (declare-const tptp.moref (-> tptp.frac tptp.frac Bool)) % 151.43/151.87 (declare-const tptp.x tptp.frac) % 151.43/151.87 (declare-const tptp.y tptp.frac) % 151.43/151.87 (define @t1 () (_ (_ tptp.moref tptp.x) tptp.y)) % 151.43/151.87 (define @t2 () (=> (not (_ (_ tptp.moref tptp.z) tptp.u)) (_ (_ tptp.eq tptp.z) tptp.u))) % 151.43/151.87 (define @t3 () (@var "Xa" Bool)) % 151.43/151.87 (define @t4 () (@var "Xu" tptp.frac)) % 151.43/151.87 (define @t5 () (@var "Xz" tptp.frac)) % 151.43/151.87 (define @t6 () (_ (_ tptp.moref @t5) @t4)) % 151.43/151.87 (define @t7 () (@var "Xy" tptp.frac)) % 151.43/151.87 (define @t8 () (_ (_ tptp.eq @t7) @t4)) % 151.43/151.87 (define @t9 () (=> @t8 @t6)) % 151.43/151.87 (define @t10 () (@var "Xx" tptp.frac)) % 151.43/151.87 (define @t11 () (_ tptp.eq @t10)) % 151.43/151.87 (define @t12 () (_ @t11 @t5)) % 151.43/151.87 (define @t13 () (=> @t12 @t9)) % 151.43/151.87 (define @t14 () (_ (_ tptp.moref @t10) @t7)) % 151.43/151.87 (define @t15 () (@list @t10 @t7 @t5 @t4)) % 151.43/151.87 (define @t16 () (forall @t15 (=> @t14 @t13))) % 151.43/151.87 (define @t17 () (_ tptp.pf @t7)) % 151.43/151.87 (define @t18 () (_ @t17 @t5)) % 151.43/151.87 (define @t19 () (_ (_ tptp.pf @t10) @t5)) % 151.43/151.87 (define @t20 () (_ tptp.moref @t19)) % 151.43/151.87 (define @t21 () (_ @t20 @t18)) % 151.43/151.87 (define @t22 () (@list @t10 @t7 @t5)) % 151.43/151.87 (define @t23 () (forall @t22 (=> @t14 @t21))) % 151.43/151.87 (define @t24 () (_ @t11 @t10)) % 151.43/151.87 (define @t25 () (@list @t10)) % 151.43/151.87 (define @t26 () (forall @t25 @t24)) % 151.43/151.87 (define @t27 () (_ @t17 @t4)) % 151.43/151.87 (define @t28 () (_ (_ tptp.eq @t19) @t27)) % 151.43/151.87 (define @t29 () (_ (_ tptp.eq @t5) @t4)) % 151.43/151.87 (define @t30 () (=> @t29 @t28)) % 151.43/151.87 (define @t31 () (_ @t11 @t7)) % 151.43/151.87 (define @t32 () (forall @t15 (=> @t31 @t30))) % 151.43/151.87 (define @t33 () (_ @t20 @t27)) % 151.43/151.87 (define @t34 () (=> @t6 @t33)) % 151.43/151.87 (define @t35 () (forall @t15 (=> @t14 @t34))) % 151.43/151.87 (define @t36 () (not (_ (_ tptp.moref (_ (_ tptp.pf tptp.x) tptp.z)) (_ (_ tptp.pf tptp.y) tptp.u)))) % 151.43/151.87 (define @t37 () (@const 0 (@ho-elim-sort (-> tptp.frac tptp.frac Bool)))) % 151.43/151.87 (define @t38 () (@const 1 (-> (@ho-elim-sort (-> tptp.frac tptp.frac Bool)) tptp.frac (@ho-elim-sort (-> tptp.frac Bool))))) % 151.43/151.87 (define @t39 () (_ @t38 @t37 @t10)) % 151.43/151.87 (define @t40 () (@const 2 (-> (@ho-elim-sort (-> tptp.frac Bool)) tptp.frac Bool))) % 151.43/151.87 (define @t41 () (forall @t25 (_ @t40 @t39 @t10))) % 151.43/151.87 (define @t42 () (tptp.eq @t10 @t10)) % 151.43/151.87 (define @t43 () (@const 3 (@ho-elim-sort (-> tptp.frac tptp.frac tptp.frac)))) % 151.43/151.87 (define @t44 () (@const 4 (-> (@ho-elim-sort (-> tptp.frac tptp.frac tptp.frac)) tptp.frac (@ho-elim-sort (-> tptp.frac tptp.frac))))) % 151.43/151.87 (define @t45 () (_ @t44 @t43 @t7)) % 151.43/151.87 (define @t46 () (@const 5 (-> (@ho-elim-sort (-> tptp.frac tptp.frac)) tptp.frac tptp.frac))) % 151.43/151.87 (define @t47 () (_ @t46 @t45 @t4)) % 151.43/151.87 (define @t48 () (_ @t46 (_ @t44 @t43 @t10) @t5)) % 151.43/151.87 (define @t49 () (tptp.pf @t7 @t4)) % 151.43/151.87 (define @t50 () (tptp.pf @t10 @t5)) % 151.43/151.87 (define @t51 () (tptp.eq @t50 @t49)) % 151.43/151.87 (define @t52 () (tptp.eq @t5 @t4)) % 151.43/151.87 (define @t53 () (tptp.eq @t10 @t7)) % 151.43/151.87 (define @t54 () (not @t29)) % 151.43/151.87 (define @t55 () (not @t31)) % 151.43/151.87 (define @t56 () (or @t55 @t54 @t28)) % 151.43/151.87 (define @t57 () (@const 6 (@ho-elim-sort (-> tptp.frac tptp.frac Bool)))) % 151.43/151.87 (define @t58 () (_ @t40 (_ @t38 @t57 @t5) @t4)) % 151.43/151.87 (define @t59 () (not (_ @t40 (_ @t38 @t57 @t10) @t7))) % 151.43/151.87 (define @t60 () (tptp.moref @t5 @t4)) % 151.43/151.87 (define @t61 () (tptp.eq @t7 @t4)) % 151.43/151.87 (define @t62 () (tptp.eq @t10 @t5)) % 151.43/151.87 (define @t63 () (tptp.moref @t10 @t7)) % 151.43/151.87 (define @t64 () (not @t63)) % 151.43/151.87 (define @t65 () (not @t8)) % 151.43/151.87 (define @t66 () (not @t12)) % 151.43/151.87 (define @t67 () (not @t14)) % 151.43/151.87 (define @t68 () (or @t67 @t66 @t65 @t6)) % 151.43/151.87 (define @t69 () (or @t66 @t65 @t6)) % 151.43/151.87 (define @t70 () (_ @t44 @t43 tptp.y)) % 151.43/151.87 (define @t71 () (_ @t46 @t70 tptp.u)) % 151.43/151.87 (define @t72 () (_ @t46 (_ @t44 @t43 tptp.x) tptp.z)) % 151.43/151.87 (define @t73 () (_ @t46 @t70 tptp.z)) % 151.43/151.87 (define @t74 () (_ @t38 @t57 @t48)) % 151.43/151.87 (define @t75 () (tptp.pf @t7 @t5)) % 151.43/151.87 (define @t76 () (tptp.moref @t50 @t75)) % 151.43/151.87 (define @t77 () (_ tptp.moref @t50)) % 151.43/151.87 (define @t78 () (or @t67 @t21)) % 151.43/151.87 (define @t79 () (_ @t40 (_ @t38 @t57 tptp.x) tptp.y)) % 151.43/151.87 (define @t80 () (_ @t38 @t57 @t72)) % 151.43/151.87 (define @t81 () (_ @t40 @t80 @t73)) % 151.43/151.87 (define @t82 () (not @t79)) % 151.43/151.87 (define @t83 () (or @t82 @t81)) % 151.43/151.87 (define @t84 () (_ @t40 @t80 @t71)) % 151.43/151.87 (define @t85 () (_ @t40 (_ @t38 @t37 @t73) @t71)) % 151.43/151.87 (define @t86 () (not @t85)) % 151.43/151.87 (define @t87 () (_ @t40 (_ @t38 @t37 @t72) @t72)) % 151.43/151.87 (define @t88 () (not @t87)) % 151.43/151.87 (define @t89 () (not @t81)) % 151.43/151.87 (define @t90 () (or @t89 @t88 @t86 @t84)) % 151.43/151.87 (define @t91 () (tptp.moref @t50 @t49)) % 151.43/151.87 (define @t92 () (not @t6)) % 151.43/151.87 (define @t93 () (or @t67 @t92 @t33)) % 151.43/151.87 (define @t94 () (_ @t40 (_ @t38 @t57 tptp.z) tptp.u)) % 151.43/151.87 (define @t95 () (not @t94)) % 151.43/151.87 (define @t96 () (or @t82 @t95 @t84)) % 151.43/151.87 (define @t97 () (_ @t40 (_ @t38 @t37 tptp.z) tptp.u)) % 151.43/151.87 (define @t98 () (not @t97)) % 151.43/151.87 (define @t99 () (_ @t40 (_ @t38 @t37 tptp.y) tptp.y)) % 151.43/151.87 (define @t100 () (not @t99)) % 151.43/151.87 (define @t101 () (or @t100 @t98 @t85)) % 151.43/151.87 (assume @p1 @t1) % 151.43/151.87 (assume @p2 @t2) % 151.43/151.87 (assume @p3 (forall (@list @t3) (=> (not (not @t3)) @t3))) % 151.43/151.87 (assume @p4 @t16) % 151.43/151.87 (assume @p5 @t23) % 151.43/151.87 (assume @p6 @t26) % 151.43/151.87 (assume @p7 @t32) % 151.43/151.87 (assume @p8 @t35) % 151.43/151.87 (assume @p9 @t36) % 151.43/151.87 (assume @p10 true) % 151.43/151.87 ; WARNING: add trust step for TRUST % 151.43/151.87 ; trust TRUST PREPROCESS_HO_ELIM % 151.43/151.87 (step @p11 :rule trust :premises () :args ((= (forall @t25 @t42) @t41))) % 151.43/151.87 (step @p12 :rule refl :args (@t42)) % 151.43/151.87 (step @p13 :rule refl :args (@t24)) % 151.43/151.87 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t24 @t42))) % 151.43/151.87 (step @p15 :rule symm :premises (@p14)) % 151.43/151.87 (step @p16 :rule eq_resolve :premises (@p13 @p15)) % 151.43/151.87 (step @p17 :rule cong :premises (@p16) :args (@t26)) % 151.43/151.87 (step @p18 :rule trans :premises (@p17 @p11)) % 151.43/151.87 (step @p19 :rule eq_resolve :premises (@p6 @p18)) % 151.43/151.87 ; trust TRUST PREPROCESS_HO_ELIM % 151.43/151.87 (step @p20 :rule trust :premises () :args ((= (forall @t15 (or (not @t53) (not @t52) @t51)) (forall @t15 (or (not (_ @t40 @t39 @t7)) (not (_ @t40 (_ @t38 @t37 @t5) @t4)) (_ @t40 (_ @t38 @t37 @t48) @t47)))))) % 151.43/151.87 (step @p21 :rule refl :args ((tptp.eq @t19 @t27))) % 151.43/151.87 (step @p22 :rule refl :args (@t49)) % 151.43/151.87 (step @p23 :rule refl :args (@t50)) % 151.43/151.87 (step @p24 :rule cong :premises (@p23 @p22) :args (@t51)) % 151.43/151.87 (step @p25 :rule trans :premises (@p24 @p21)) % 151.43/151.87 (step @p26 :rule refl :args (tptp.eq)) % 151.43/151.87 (step @p27 :rule ho_cong :premises (@p26 @p23)) % 151.43/151.87 (step @p28 :rule ho_cong :premises (@p27 @p22)) % 151.43/151.87 (step @p29 :rule cong :premises (@p28 @p25) :args ((= (_ (_ tptp.eq @t50) @t49) @t51))) % 151.43/151.87 (step @p30 :rule symm :premises (@p29)) % 151.43/151.87 (step @p31 :rule refl :args (@t28)) % 151.43/151.87 (step @p32 :rule eq_resolve :premises (@p31 @p30)) % 151.43/151.87 (step @p33 :rule refl :args (@t27)) % 151.43/151.87 (step @p34 :rule cong :premises (@p33 @p22) :args ((= @t27 @t49))) % 151.43/151.87 (step @p35 :rule symm :premises (@p34)) % 151.43/151.87 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 151.43/151.87 (step @p37 :rule refl :args (@t19)) % 151.43/151.87 (step @p38 :rule cong :premises (@p37 @p23) :args ((= @t19 @t50))) % 151.43/151.87 (step @p39 :rule symm :premises (@p38)) % 151.43/151.87 (step @p40 :rule eq_resolve :premises (@p37 @p39)) % 151.43/151.87 (step @p41 :rule ho_cong :premises (@p26 @p40)) % 151.43/151.87 (step @p42 :rule ho_cong :premises (@p41 @p36)) % 151.43/151.87 (step @p43 :rule trans :premises (@p42 @p32)) % 151.43/151.87 (step @p44 :rule refl :args (@t52)) % 151.43/151.87 (step @p45 :rule refl :args (@t29)) % 151.43/151.87 (step @p46 :rule cong :premises (@p45 @p44) :args ((= @t29 @t52))) % 151.43/151.87 (step @p47 :rule symm :premises (@p46)) % 151.43/151.87 (step @p48 :rule eq_resolve :premises (@p45 @p47)) % 151.43/151.87 (step @p49 :rule cong :premises (@p48) :args (@t54)) % 151.43/151.87 (step @p50 :rule refl :args (@t53)) % 151.43/151.87 (step @p51 :rule refl :args (@t31)) % 151.43/151.87 (step @p52 :rule cong :premises (@p51 @p50) :args ((= @t31 @t53))) % 151.43/151.87 (step @p53 :rule symm :premises (@p52)) % 151.43/151.87 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 151.43/151.87 (step @p55 :rule cong :premises (@p54) :args (@t55)) % 151.43/151.87 (step @p56 :rule nary_cong :premises (@p55 @p49 @p43) :args (@t56)) % 151.43/151.87 (step @p57 :rule cong :premises (@p56) :args ((forall @t15 @t56))) % 151.43/151.87 (step @p58 :rule aci_norm :args ((= (or @t55 (or @t54 @t28)) @t56))) % 151.43/151.87 (step @p59 :rule bool-impl-elim :args (@t29 @t28)) % 151.43/151.87 (step @p60 :rule refl :args (@t55)) % 151.43/151.87 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t55 @t30))) % 151.43/151.87 (step @p62 :rule trans :premises (@p61 @p58)) % 151.43/151.87 (step @p63 :rule bool-impl-elim :args (@t31 @t30)) % 151.43/151.87 (step @p64 :rule trans :premises (@p63 @p62)) % 151.43/151.87 (step @p65 :rule cong :premises (@p64) :args (@t32)) % 151.43/151.87 (step @p66 :rule trans :premises (@p65 @p57)) % 151.43/151.87 (step @p67 :rule trans :premises (@p66 @p20)) % 151.43/151.87 (step @p68 :rule eq_resolve :premises (@p7 @p67)) % 151.43/151.87 (step @p69 :rule instantiate :premises (@p68) :args ((@list tptp.y tptp.y tptp.z tptp.u))) % 151.43/151.87 ; trust TRUST PREPROCESS_HO_ELIM % 151.43/151.87 (step @p70 :rule trust :premises () :args ((= (forall @t15 (or @t64 (not @t62) (not @t61) @t60)) (forall @t15 (or @t59 (not (_ @t40 @t39 @t5)) (not (_ @t40 (_ @t38 @t37 @t7) @t4)) @t58))))) % 151.43/151.87 (step @p71 :rule refl :args (@t60)) % 151.43/151.87 (step @p72 :rule refl :args (@t6)) % 151.43/151.87 (step @p73 :rule cong :premises (@p72 @p71) :args ((= @t6 @t60))) % 151.43/151.87 (step @p74 :rule symm :premises (@p73)) % 151.43/151.87 (step @p75 :rule eq_resolve :premises (@p72 @p74)) % 151.43/151.87 (step @p76 :rule refl :args (@t61)) % 151.43/151.87 (step @p77 :rule refl :args (@t8)) % 151.43/151.87 (step @p78 :rule cong :premises (@p77 @p76) :args ((= @t8 @t61))) % 151.43/151.87 (step @p79 :rule symm :premises (@p78)) % 151.43/151.87 (step @p80 :rule eq_resolve :premises (@p77 @p79)) % 151.43/151.87 (step @p81 :rule cong :premises (@p80) :args (@t65)) % 151.43/151.87 (step @p82 :rule refl :args (@t62)) % 151.43/151.87 (step @p83 :rule refl :args (@t12)) % 151.43/151.87 (step @p84 :rule cong :premises (@p83 @p82) :args ((= @t12 @t62))) % 151.43/151.87 (step @p85 :rule symm :premises (@p84)) % 151.43/151.87 (step @p86 :rule eq_resolve :premises (@p83 @p85)) % 151.43/151.87 (step @p87 :rule cong :premises (@p86) :args (@t66)) % 151.43/151.87 (step @p88 :rule refl :args (@t63)) % 151.43/151.87 (step @p89 :rule refl :args (@t14)) % 151.43/151.87 (step @p90 :rule cong :premises (@p89 @p88) :args ((= @t14 @t63))) % 151.43/151.87 (step @p91 :rule symm :premises (@p90)) % 151.43/151.87 (step @p92 :rule eq_resolve :premises (@p89 @p91)) % 151.43/151.87 (step @p93 :rule cong :premises (@p92) :args (@t67)) % 151.43/151.87 (step @p94 :rule nary_cong :premises (@p93 @p87 @p81 @p75) :args (@t68)) % 151.43/151.87 (step @p95 :rule cong :premises (@p94) :args ((forall @t15 @t68))) % 151.43/151.87 (step @p96 :rule aci_norm :args ((= (or @t67 @t69) @t68))) % 151.43/151.87 (step @p97 :rule aci_norm :args ((= (or @t66 (or @t65 @t6)) @t69))) % 151.43/151.87 (step @p98 :rule bool-impl-elim :args (@t8 @t6)) % 151.43/151.87 (step @p99 :rule refl :args (@t66)) % 151.43/151.87 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t66 @t9))) % 151.43/151.87 (step @p101 :rule trans :premises (@p100 @p97)) % 151.43/151.87 (step @p102 :rule bool-impl-elim :args (@t12 @t9)) % 151.43/151.87 (step @p103 :rule trans :premises (@p102 @p101)) % 151.43/151.87 (step @p104 :rule refl :args (@t67)) % 151.43/151.87 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t67 @t13))) % 151.43/151.87 (step @p106 :rule trans :premises (@p105 @p96)) % 151.43/151.87 (step @p107 :rule bool-impl-elim :args (@t14 @t13)) % 151.43/151.87 (step @p108 :rule trans :premises (@p107 @p106)) % 151.43/151.87 (step @p109 :rule cong :premises (@p108) :args (@t16)) % 151.43/151.87 (step @p110 :rule trans :premises (@p109 @p95)) % 151.43/151.87 (step @p111 :rule trans :premises (@p110 @p70)) % 151.43/151.87 (step @p112 :rule eq_resolve :premises (@p4 @p111)) % 151.43/151.87 (step @p113 :rule instantiate :premises (@p112) :args ((@list @t72 @t73 @t72 @t71))) % 151.43/151.87 (step @p114 :rule instantiate :premises (@p19) :args ((@list @t72))) % 151.43/151.87 ; trust TRUST PREPROCESS_HO_ELIM % 151.43/151.87 (step @p115 :rule trust :premises () :args ((= (forall @t22 (or @t64 @t76)) (forall @t22 (or @t59 (_ @t40 @t74 (_ @t46 @t45 @t5))))))) % 151.43/151.87 (step @p116 :rule refl :args ((tptp.moref @t19 @t18))) % 151.43/151.87 (step @p117 :rule refl :args (@t75)) % 151.43/151.87 (step @p118 :rule cong :premises (@p23 @p117) :args (@t76)) % 151.43/151.87 (step @p119 :rule trans :premises (@p118 @p116)) % 151.43/151.87 (step @p120 :rule refl :args (tptp.moref)) % 151.43/151.87 (step @p121 :rule ho_cong :premises (@p120 @p23)) % 151.43/151.87 (step @p122 :rule ho_cong :premises (@p121 @p117)) % 151.43/151.87 (step @p123 :rule cong :premises (@p122 @p119) :args ((= (_ @t77 @t75) @t76))) % 151.43/151.87 (step @p124 :rule symm :premises (@p123)) % 151.43/151.87 (step @p125 :rule refl :args (@t21)) % 151.43/151.87 (step @p126 :rule eq_resolve :premises (@p125 @p124)) % 151.43/151.87 (step @p127 :rule refl :args (@t18)) % 151.43/151.87 (step @p128 :rule cong :premises (@p127 @p117) :args ((= @t18 @t75))) % 151.43/151.87 (step @p129 :rule symm :premises (@p128)) % 151.43/151.87 (step @p130 :rule eq_resolve :premises (@p127 @p129)) % 151.43/151.87 (step @p131 :rule ho_cong :premises (@p120 @p40)) % 151.43/151.87 (step @p132 :rule ho_cong :premises (@p131 @p130)) % 151.43/151.87 (step @p133 :rule trans :premises (@p132 @p126)) % 151.43/151.87 (step @p134 :rule nary_cong :premises (@p93 @p133) :args (@t78)) % 151.43/151.87 (step @p135 :rule cong :premises (@p134) :args ((forall @t22 @t78))) % 151.43/151.87 (step @p136 :rule bool-impl-elim :args (@t14 @t21)) % 151.43/151.87 (step @p137 :rule cong :premises (@p136) :args (@t23)) % 151.43/151.87 (step @p138 :rule trans :premises (@p137 @p135)) % 151.43/151.87 (step @p139 :rule trans :premises (@p138 @p115)) % 151.43/151.87 (step @p140 :rule eq_resolve :premises (@p5 @p139)) % 151.43/151.87 (step @p141 :rule instantiate :premises (@p140) :args ((@list tptp.x tptp.y tptp.z))) % 151.43/151.87 ; trust TRUST PREPROCESS_HO_ELIM % 151.43/151.87 (step @p142 :rule trust :premises () :args ((= @t1 @t79))) % 151.43/151.87 (step @p143 :rule eq_resolve :premises (@p1 @p142)) % 151.43/151.87 (step @p144 :rule cnf_or_pos :args (@t83)) % 151.43/151.87 (step @p145 :rule reordering :premises (@p144) :args ((or @t82 @t81 (not @t83)))) % 151.43/151.87 (step @p146 :rule chain_m_resolution :premises (@p145 @p143 @p141) :args (@t81 (@list false false) (@list @t79 @t83))) % 151.43/151.87 ; trust TRUST PREPROCESS_HO_ELIM % 151.43/151.87 (step @p147 :rule trust :premises () :args ((= @t36 (not @t84)))) % 151.43/151.87 (step @p148 :rule eq_resolve :premises (@p9 @p147)) % 151.43/151.87 (step @p149 :rule cnf_or_pos :args (@t90)) % 151.43/151.87 (step @p150 :rule reordering :premises (@p149) :args ((or @t84 @t86 @t89 @t88 (not @t90)))) % 151.43/151.87 (step @p151 :rule chain_m_resolution :premises (@p150 @p148 @p146 @p114 @p113) :args (@t86 (@list true false false false) (@list @t84 @t81 @t87 @t90))) % 151.43/151.87 ; trust TRUST PREPROCESS_HO_ELIM % 151.43/151.87 (step @p152 :rule trust :premises () :args ((= (forall @t15 (or @t64 (not @t60) @t91)) (forall @t15 (or @t59 (not @t58) (_ @t40 @t74 @t47)))))) % 151.43/151.87 (step @p153 :rule refl :args ((tptp.moref @t19 @t27))) % 151.43/151.87 (step @p154 :rule cong :premises (@p23 @p22) :args (@t91)) % 151.43/151.87 (step @p155 :rule trans :premises (@p154 @p153)) % 151.43/151.87 (step @p156 :rule ho_cong :premises (@p121 @p22)) % 151.43/151.87 (step @p157 :rule cong :premises (@p156 @p155) :args ((= (_ @t77 @t49) @t91))) % 151.43/151.87 (step @p158 :rule symm :premises (@p157)) % 151.43/151.87 (step @p159 :rule refl :args (@t33)) % 151.43/151.87 (step @p160 :rule eq_resolve :premises (@p159 @p158)) % 151.43/151.87 (step @p161 :rule ho_cong :premises (@p131 @p36)) % 151.43/151.87 (step @p162 :rule trans :premises (@p161 @p160)) % 151.43/151.87 (step @p163 :rule cong :premises (@p75) :args (@t92)) % 151.43/151.87 (step @p164 :rule nary_cong :premises (@p93 @p163 @p162) :args (@t93)) % 151.43/151.87 (step @p165 :rule cong :premises (@p164) :args ((forall @t15 @t93))) % 151.43/151.87 (step @p166 :rule aci_norm :args ((= (or @t67 (or @t92 @t33)) @t93))) % 151.43/151.87 (step @p167 :rule bool-impl-elim :args (@t6 @t33)) % 151.43/151.87 (step @p168 :rule nary_cong :premises (@p104 @p167) :args ((or @t67 @t34))) % 151.43/151.87 (step @p169 :rule trans :premises (@p168 @p166)) % 151.43/151.87 (step @p170 :rule bool-impl-elim :args (@t14 @t34)) % 151.43/151.87 (step @p171 :rule trans :premises (@p170 @p169)) % 151.43/151.87 (step @p172 :rule cong :premises (@p171) :args (@t35)) % 151.43/151.87 (step @p173 :rule trans :premises (@p172 @p165)) % 151.43/151.87 (step @p174 :rule trans :premises (@p173 @p152)) % 151.43/151.87 (step @p175 :rule eq_resolve :premises (@p8 @p174)) % 151.43/151.87 (step @p176 :rule instantiate :premises (@p175) :args ((@list tptp.x tptp.y tptp.z tptp.u))) % 151.43/151.87 (step @p177 :rule cnf_or_pos :args (@t96)) % 151.43/151.87 (step @p178 :rule reordering :premises (@p177) :args ((or @t95 @t84 @t82 (not @t96)))) % 151.43/151.87 (step @p179 :rule chain_m_resolution :premises (@p178 @p148 @p143 @p176) :args (@t95 (@list true false false) (@list @t84 @t79 @t96))) % 151.43/151.87 (step @p180 :rule refl :args (@t97)) % 151.43/151.87 (step @p181 :rule bool-double-not-elim :args (@t94)) % 151.43/151.87 (step @p182 :rule nary_cong :premises (@p181 @p180) :args ((or (not @t95) @t97))) % 151.43/151.87 ; trust TRUST PREPROCESS_HO_ELIM % 151.43/151.87 (step @p183 :rule trust :premises () :args ((= @t2 (=> @t95 @t97)))) % 151.43/151.87 (step @p184 :rule eq_resolve :premises (@p2 @p183)) % 151.43/151.87 (step @p185 :rule implies_elim :premises (@p184)) % 151.43/151.87 (step @p186 :rule eq_resolve :premises (@p185 @p182)) % 151.43/151.87 (step @p187 :rule reordering :premises (@p186) :args ((or @t97 @t94))) % 151.43/151.87 (step @p188 :rule chain_m_resolution :premises (@p187 @p179) :args (@t97 (@list true) (@list @t94))) % 151.43/151.87 (step @p189 :rule cnf_or_pos :args (@t101)) % 151.43/151.87 (step @p190 :rule reordering :premises (@p189) :args ((or @t98 @t100 @t85 (not @t101)))) % 151.43/151.87 (step @p191 :rule chain_m_resolution :premises (@p190 @p188 @p151 @p69) :args (@t100 (@list false true false) (@list @t97 @t85 @t101))) % 151.43/151.87 (assume-push @p198 @t41) % 151.43/151.87 (step @p193 :rule instantiate :premises (@p19) :args ((@list tptp.y))) % 151.43/151.87 (step-pop @p199 :rule scope :premises (@p193)) % 151.43/151.87 (step @p194 :rule process_scope :premises (@p199) :args (@t99)) % 151.43/151.88 (step @p196 :rule implies_elim :premises (@p194)) % 151.43/151.88 (step @p197 false :rule chain_m_resolution :premises (@p196 @p191 @p19) :args (false (@list true false) (@list @t99 @t41))) % 151.43/151.88 ) % 151.43/151.88 % SZS output end Proof % 151.43/151.88 % cvc5 exiting %------------------------------------------------------------------------------