%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM760^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n010.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 150.81s 151.16s % Output : Proof 150.81s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM760^1 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.14/0.34 % Computer : n010.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Tue Jun 2 12:14:25 EDT 2026 % 0.14/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 150.81/151.16 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.81/151.16 --- 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... % 150.81/151.16 --- 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... % 150.81/151.16 --- Run --ho-elim --full-saturate-quant at 18s... % 150.81/151.16 % SZS status Theorem % 150.81/151.16 % SZS output start Proof % 150.81/151.16 ( % 150.81/151.16 (declare-sort tptp.frac 0) % 150.81/151.16 (declare-const tptp.pf (-> tptp.frac tptp.frac tptp.frac)) % 150.81/151.16 (declare-const tptp.lessf (-> tptp.frac tptp.frac Bool)) % 150.81/151.16 (declare-const tptp.z tptp.frac) % 150.81/151.16 (declare-const tptp.u tptp.frac) % 150.81/151.16 (declare-const tptp.eq (-> tptp.frac tptp.frac Bool)) % 150.81/151.16 (declare-const tptp.moref (-> tptp.frac tptp.frac Bool)) % 150.81/151.16 (declare-const tptp.x tptp.frac) % 150.81/151.16 (declare-const tptp.y tptp.frac) % 150.81/151.16 (define @t1 () (_ (_ tptp.moref tptp.x) tptp.y)) % 150.81/151.16 (define @t2 () (_ (_ tptp.moref tptp.z) tptp.u)) % 150.81/151.16 (define @t3 () (@var "Xx" tptp.frac)) % 150.81/151.16 (define @t4 () (@var "Xy" tptp.frac)) % 150.81/151.16 (define @t5 () (_ (_ tptp.moref @t4) @t3)) % 150.81/151.16 (define @t6 () (_ tptp.lessf @t3)) % 150.81/151.16 (define @t7 () (_ @t6 @t4)) % 150.81/151.16 (define @t8 () (@list @t3 @t4)) % 150.81/151.16 (define @t9 () (forall @t8 (=> @t7 @t5))) % 150.81/151.16 (define @t10 () (@var "Xz" tptp.frac)) % 150.81/151.16 (define @t11 () (_ @t6 @t10)) % 150.81/151.16 (define @t12 () (_ tptp.lessf @t4)) % 150.81/151.16 (define @t13 () (_ @t12 @t10)) % 150.81/151.16 (define @t14 () (=> @t13 @t11)) % 150.81/151.16 (define @t15 () (@list @t3 @t4 @t10)) % 150.81/151.16 (define @t16 () (forall @t15 (=> @t7 @t14))) % 150.81/151.16 (define @t17 () (_ @t12 @t3)) % 150.81/151.16 (define @t18 () (_ (_ tptp.moref @t3) @t4)) % 150.81/151.16 (define @t19 () (forall @t8 (=> @t18 @t17))) % 150.81/151.16 (define @t20 () (@var "Xu" tptp.frac)) % 150.81/151.16 (define @t21 () (_ (_ tptp.moref @t10) @t20)) % 150.81/151.16 (define @t22 () (_ (_ tptp.eq @t4) @t20)) % 150.81/151.16 (define @t23 () (=> @t22 @t21)) % 150.81/151.16 (define @t24 () (_ (_ tptp.eq @t3) @t10)) % 150.81/151.16 (define @t25 () (=> @t24 @t23)) % 150.81/151.16 (define @t26 () (@list @t3 @t4 @t10 @t20)) % 150.81/151.16 (define @t27 () (forall @t26 (=> @t18 @t25))) % 150.81/151.16 (define @t28 () (_ tptp.pf @t4)) % 150.81/151.16 (define @t29 () (_ @t28 @t10)) % 150.81/151.16 (define @t30 () (_ tptp.pf @t3)) % 150.81/151.16 (define @t31 () (_ @t30 @t10)) % 150.81/151.16 (define @t32 () (_ (_ tptp.moref @t31) @t29)) % 150.81/151.16 (define @t33 () (forall @t15 (=> @t18 @t32))) % 150.81/151.16 (define @t34 () (_ @t28 @t3)) % 150.81/151.16 (define @t35 () (_ @t30 @t4)) % 150.81/151.16 (define @t36 () (_ (_ tptp.eq @t35) @t34)) % 150.81/151.16 (define @t37 () (forall @t8 @t36)) % 150.81/151.16 (define @t38 () (not (_ (_ tptp.moref (_ (_ tptp.pf tptp.x) tptp.z)) (_ (_ tptp.pf tptp.y) tptp.u)))) % 150.81/151.16 (define @t39 () (@const 0 (@ho-elim-sort (-> tptp.frac tptp.frac Bool)))) % 150.81/151.16 (define @t40 () (@const 1 (-> (@ho-elim-sort (-> tptp.frac tptp.frac Bool)) tptp.frac (@ho-elim-sort (-> tptp.frac Bool))))) % 150.81/151.16 (define @t41 () (@const 2 (-> (@ho-elim-sort (-> tptp.frac Bool)) tptp.frac Bool))) % 150.81/151.16 (define @t42 () (@const 3 (@ho-elim-sort (-> tptp.frac tptp.frac Bool)))) % 150.81/151.16 (define @t43 () (not (_ @t41 (_ @t40 @t39 @t3) @t4))) % 150.81/151.16 (define @t44 () (forall @t26 (or @t43 (not (_ @t41 (_ @t40 @t42 @t3) @t10)) (not (_ @t41 (_ @t40 @t42 @t4) @t20)) (_ @t41 (_ @t40 @t39 @t10) @t20)))) % 150.81/151.16 (define @t45 () (tptp.moref @t10 @t20)) % 150.81/151.16 (define @t46 () (tptp.eq @t4 @t20)) % 150.81/151.16 (define @t47 () (tptp.eq @t3 @t10)) % 150.81/151.16 (define @t48 () (tptp.moref @t3 @t4)) % 150.81/151.16 (define @t49 () (not @t48)) % 150.81/151.16 (define @t50 () (not @t22)) % 150.81/151.16 (define @t51 () (not @t24)) % 150.81/151.16 (define @t52 () (not @t18)) % 150.81/151.16 (define @t53 () (or @t52 @t51 @t50 @t21)) % 150.81/151.16 (define @t54 () (or @t51 @t50 @t21)) % 150.81/151.16 (define @t55 () (@const 4 (@ho-elim-sort (-> tptp.frac tptp.frac tptp.frac)))) % 150.81/151.16 (define @t56 () (@const 5 (-> (@ho-elim-sort (-> tptp.frac tptp.frac tptp.frac)) tptp.frac (@ho-elim-sort (-> tptp.frac tptp.frac))))) % 150.81/151.16 (define @t57 () (_ @t56 @t55 @t4)) % 150.81/151.16 (define @t58 () (@const 6 (-> (@ho-elim-sort (-> tptp.frac tptp.frac)) tptp.frac tptp.frac))) % 150.81/151.16 (define @t59 () (_ @t56 @t55 @t3)) % 150.81/151.16 (define @t60 () (tptp.pf @t4 @t10)) % 150.81/151.16 (define @t61 () (tptp.pf @t3 @t10)) % 150.81/151.16 (define @t62 () (tptp.moref @t61 @t60)) % 150.81/151.16 (define @t63 () (or @t52 @t32)) % 150.81/151.16 (define @t64 () (_ @t41 (_ @t40 @t39 tptp.z) tptp.u)) % 150.81/151.16 (define @t65 () (_ @t58 (_ @t56 @t55 tptp.u) tptp.y)) % 150.81/151.16 (define @t66 () (_ @t58 (_ @t56 @t55 tptp.z) tptp.y)) % 150.81/151.16 (define @t67 () (_ @t41 (_ @t40 @t39 @t66) @t65)) % 150.81/151.16 (define @t68 () (not @t64)) % 150.81/151.16 (define @t69 () (or @t68 @t67)) % 150.81/151.16 (define @t70 () (@list false false)) % 150.81/151.16 (define @t71 () (@const 7 (@ho-elim-sort (-> tptp.frac tptp.frac Bool)))) % 150.81/151.16 (define @t72 () (_ @t40 @t71 @t4)) % 150.81/151.16 (define @t73 () (tptp.lessf @t4 @t3)) % 150.81/151.16 (define @t74 () (or @t52 @t17)) % 150.81/151.16 (define @t75 () (_ @t56 @t55 tptp.y)) % 150.81/151.16 (define @t76 () (_ @t58 @t75 tptp.u)) % 150.81/151.16 (define @t77 () (_ @t58 @t75 tptp.z)) % 150.81/151.16 (define @t78 () (_ @t40 @t71 @t3)) % 150.81/151.16 (define @t79 () (not (_ @t41 @t78 @t4))) % 150.81/151.16 (define @t80 () (tptp.lessf @t3 @t10)) % 150.81/151.16 (define @t81 () (tptp.lessf @t4 @t10)) % 150.81/151.16 (define @t82 () (tptp.lessf @t3 @t4)) % 150.81/151.16 (define @t83 () (not @t82)) % 150.81/151.16 (define @t84 () (not @t13)) % 150.81/151.16 (define @t85 () (not @t7)) % 150.81/151.16 (define @t86 () (or @t85 @t84 @t11)) % 150.81/151.16 (define @t87 () (_ @t58 (_ @t56 @t55 tptp.x) tptp.z)) % 150.81/151.16 (define @t88 () (_ @t41 (_ @t40 @t39 tptp.x) tptp.y)) % 150.81/151.16 (define @t89 () (_ @t40 @t39 @t87)) % 150.81/151.16 (define @t90 () (_ @t41 @t89 @t77)) % 150.81/151.16 (define @t91 () (not @t88)) % 150.81/151.16 (define @t92 () (or @t91 @t90)) % 150.81/151.16 (define @t93 () (_ @t41 (_ @t40 @t71 @t77) @t87)) % 150.81/151.16 (define @t94 () (not @t90)) % 150.81/151.16 (define @t95 () (or @t94 @t93)) % 150.81/151.16 (define @t96 () (tptp.moref @t4 @t3)) % 150.81/151.16 (define @t97 () (or @t85 @t5)) % 150.81/151.16 (define @t98 () (_ @t41 @t89 @t76)) % 150.81/151.16 (define @t99 () (_ @t40 @t71 @t76)) % 150.81/151.16 (define @t100 () (_ @t41 @t99 @t87)) % 150.81/151.16 (define @t101 () (not @t100)) % 150.81/151.16 (define @t102 () (or @t101 @t98)) % 150.81/151.16 (define @t103 () (@list true false)) % 150.81/151.16 (define @t104 () (not @t93)) % 150.81/151.16 (define @t105 () (_ @t41 @t99 @t77)) % 150.81/151.16 (define @t106 () (not @t105)) % 150.81/151.16 (define @t107 () (or @t106 @t104 @t100)) % 150.81/151.16 (define @t108 () (_ @t41 (_ @t40 @t39 @t77) @t76)) % 150.81/151.16 (define @t109 () (not @t108)) % 150.81/151.16 (define @t110 () (or @t109 @t105)) % 150.81/151.16 (define @t111 () (tptp.pf @t4 @t3)) % 150.81/151.16 (define @t112 () (tptp.pf @t3 @t4)) % 150.81/151.16 (define @t113 () (tptp.eq @t112 @t111)) % 150.81/151.16 (define @t114 () (_ @t41 (_ @t40 @t42 @t65) @t76)) % 150.81/151.16 (define @t115 () (not @t114)) % 150.81/151.16 (define @t116 () (_ @t41 (_ @t40 @t42 @t66) @t77)) % 150.81/151.16 (define @t117 () (not @t116)) % 150.81/151.16 (define @t118 () (not @t67)) % 150.81/151.16 (define @t119 () (or @t118 @t117 @t115 @t108)) % 150.81/151.16 (define @t120 () (not @t119)) % 150.81/151.16 (assume @p1 @t1) % 150.81/151.16 (assume @p2 @t2) % 150.81/151.16 (assume @p3 @t9) % 150.81/151.16 (assume @p4 @t16) % 150.81/151.16 (assume @p5 @t19) % 150.81/151.16 (assume @p6 @t27) % 150.81/151.16 (assume @p7 @t33) % 150.81/151.16 (assume @p8 @t37) % 150.81/151.16 (assume @p9 @t38) % 150.81/151.16 (assume @p10 true) % 150.81/151.16 ; WARNING: add trust step for TRUST % 150.81/151.16 ; trust TRUST PREPROCESS_HO_ELIM % 150.81/151.16 (step @p11 :rule trust :premises () :args ((= (forall @t26 (or @t49 (not @t47) (not @t46) @t45)) @t44))) % 150.81/151.16 (step @p12 :rule refl :args (@t45)) % 150.81/151.16 (step @p13 :rule refl :args (@t21)) % 150.81/151.16 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t21 @t45))) % 150.81/151.16 (step @p15 :rule symm :premises (@p14)) % 150.81/151.16 (step @p16 :rule eq_resolve :premises (@p13 @p15)) % 150.81/151.16 (step @p17 :rule refl :args (@t46)) % 150.81/151.16 (step @p18 :rule refl :args (@t22)) % 150.81/151.16 (step @p19 :rule cong :premises (@p18 @p17) :args ((= @t22 @t46))) % 150.81/151.16 (step @p20 :rule symm :premises (@p19)) % 150.81/151.16 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 150.81/151.16 (step @p22 :rule cong :premises (@p21) :args (@t50)) % 150.81/151.16 (step @p23 :rule refl :args (@t47)) % 150.81/151.16 (step @p24 :rule refl :args (@t24)) % 150.81/151.16 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t24 @t47))) % 150.81/151.16 (step @p26 :rule symm :premises (@p25)) % 150.81/151.16 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 150.81/151.16 (step @p28 :rule cong :premises (@p27) :args (@t51)) % 150.81/151.16 (step @p29 :rule refl :args (@t48)) % 150.81/151.16 (step @p30 :rule refl :args (@t18)) % 150.81/151.16 (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t18 @t48))) % 150.81/151.16 (step @p32 :rule symm :premises (@p31)) % 150.81/151.16 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 150.81/151.16 (step @p34 :rule cong :premises (@p33) :args (@t52)) % 150.81/151.16 (step @p35 :rule nary_cong :premises (@p34 @p28 @p22 @p16) :args (@t53)) % 150.81/151.16 (step @p36 :rule cong :premises (@p35) :args ((forall @t26 @t53))) % 150.81/151.16 (step @p37 :rule aci_norm :args ((= (or @t52 @t54) @t53))) % 150.81/151.16 (step @p38 :rule aci_norm :args ((= (or @t51 (or @t50 @t21)) @t54))) % 150.81/151.16 (step @p39 :rule bool-impl-elim :args (@t22 @t21)) % 150.81/151.16 (step @p40 :rule refl :args (@t51)) % 150.81/151.16 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t51 @t23))) % 150.81/151.16 (step @p42 :rule trans :premises (@p41 @p38)) % 150.81/151.16 (step @p43 :rule bool-impl-elim :args (@t24 @t23)) % 150.81/151.16 (step @p44 :rule trans :premises (@p43 @p42)) % 150.81/151.16 (step @p45 :rule refl :args (@t52)) % 150.81/151.16 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t52 @t25))) % 150.81/151.16 (step @p47 :rule trans :premises (@p46 @p37)) % 150.81/151.16 (step @p48 :rule bool-impl-elim :args (@t18 @t25)) % 150.81/151.16 (step @p49 :rule trans :premises (@p48 @p47)) % 150.81/151.16 (step @p50 :rule cong :premises (@p49) :args (@t27)) % 150.81/151.16 (step @p51 :rule trans :premises (@p50 @p36)) % 150.81/151.16 (step @p52 :rule trans :premises (@p51 @p11)) % 150.81/151.16 (step @p53 :rule eq_resolve :premises (@p6 @p52)) % 150.81/151.16 ; trust TRUST PREPROCESS_HO_ELIM % 150.81/151.16 (step @p54 :rule trust :premises () :args ((= (forall @t15 (or @t49 @t62)) (forall @t15 (or @t43 (_ @t41 (_ @t40 @t39 (_ @t58 @t59 @t10)) (_ @t58 @t57 @t10))))))) % 150.81/151.16 (step @p55 :rule refl :args ((tptp.moref @t31 @t29))) % 150.81/151.16 (step @p56 :rule refl :args (@t60)) % 150.81/151.16 (step @p57 :rule refl :args (@t61)) % 150.81/151.16 (step @p58 :rule cong :premises (@p57 @p56) :args (@t62)) % 150.81/151.16 (step @p59 :rule trans :premises (@p58 @p55)) % 150.81/151.16 (step @p60 :rule refl :args (tptp.moref)) % 150.81/151.16 (step @p61 :rule ho_cong :premises (@p60 @p57)) % 150.81/151.16 (step @p62 :rule ho_cong :premises (@p61 @p56)) % 150.81/151.16 (step @p63 :rule cong :premises (@p62 @p59) :args ((= (_ (_ tptp.moref @t61) @t60) @t62))) % 150.81/151.16 (step @p64 :rule symm :premises (@p63)) % 150.81/151.16 (step @p65 :rule refl :args (@t32)) % 150.81/151.16 (step @p66 :rule eq_resolve :premises (@p65 @p64)) % 150.81/151.16 (step @p67 :rule refl :args (@t29)) % 150.81/151.16 (step @p68 :rule cong :premises (@p67 @p56) :args ((= @t29 @t60))) % 150.81/151.16 (step @p69 :rule symm :premises (@p68)) % 150.81/151.16 (step @p70 :rule eq_resolve :premises (@p67 @p69)) % 150.81/151.16 (step @p71 :rule refl :args (@t31)) % 150.81/151.16 (step @p72 :rule cong :premises (@p71 @p57) :args ((= @t31 @t61))) % 150.81/151.16 (step @p73 :rule symm :premises (@p72)) % 150.81/151.16 (step @p74 :rule eq_resolve :premises (@p71 @p73)) % 150.81/151.16 (step @p75 :rule ho_cong :premises (@p60 @p74)) % 150.81/151.16 (step @p76 :rule ho_cong :premises (@p75 @p70)) % 150.81/151.16 (step @p77 :rule trans :premises (@p76 @p66)) % 150.81/151.16 (step @p78 :rule nary_cong :premises (@p34 @p77) :args (@t63)) % 150.81/151.16 (step @p79 :rule cong :premises (@p78) :args ((forall @t15 @t63))) % 150.81/151.16 (step @p80 :rule bool-impl-elim :args (@t18 @t32)) % 150.81/151.16 (step @p81 :rule cong :premises (@p80) :args (@t33)) % 150.81/151.16 (step @p82 :rule trans :premises (@p81 @p79)) % 150.81/151.16 (step @p83 :rule trans :premises (@p82 @p54)) % 150.81/151.16 (step @p84 :rule eq_resolve :premises (@p7 @p83)) % 150.81/151.16 (step @p85 :rule instantiate :premises (@p84) :args ((@list tptp.z tptp.u tptp.y))) % 150.81/151.16 ; trust TRUST PREPROCESS_HO_ELIM % 150.81/151.16 (step @p86 :rule trust :premises () :args ((= @t2 @t64))) % 150.81/151.16 (step @p87 :rule eq_resolve :premises (@p2 @p86)) % 150.81/151.16 (step @p88 :rule cnf_or_pos :args (@t69)) % 150.81/151.16 (step @p89 :rule reordering :premises (@p88) :args ((or @t68 @t67 (not @t69)))) % 150.81/151.16 (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p85) :args (@t67 @t70 (@list @t64 @t69))) % 150.81/151.16 ; trust TRUST PREPROCESS_HO_ELIM % 150.81/151.16 (step @p91 :rule trust :premises () :args ((= (forall @t8 (or @t49 @t73)) (forall @t8 (or @t43 (_ @t41 @t72 @t3)))))) % 150.81/151.16 (step @p92 :rule refl :args (@t73)) % 150.81/151.16 (step @p93 :rule refl :args (@t17)) % 150.81/151.16 (step @p94 :rule cong :premises (@p93 @p92) :args ((= @t17 @t73))) % 150.81/151.16 (step @p95 :rule symm :premises (@p94)) % 150.81/151.16 (step @p96 :rule eq_resolve :premises (@p93 @p95)) % 150.81/151.16 (step @p97 :rule nary_cong :premises (@p34 @p96) :args (@t74)) % 150.81/151.16 (step @p98 :rule cong :premises (@p97) :args ((forall @t8 @t74))) % 150.81/151.16 (step @p99 :rule bool-impl-elim :args (@t18 @t17)) % 150.81/151.16 (step @p100 :rule cong :premises (@p99) :args (@t19)) % 150.81/151.16 (step @p101 :rule trans :premises (@p100 @p98)) % 150.81/151.16 (step @p102 :rule trans :premises (@p101 @p91)) % 150.81/151.16 (step @p103 :rule eq_resolve :premises (@p5 @p102)) % 150.81/151.16 (step @p104 :rule instantiate :premises (@p103) :args ((@list @t77 @t76))) % 150.81/151.16 ; trust TRUST PREPROCESS_HO_ELIM % 150.81/151.16 (step @p105 :rule trust :premises () :args ((= (forall @t15 (or @t83 (not @t81) @t80)) (forall @t15 (or @t79 (not (_ @t41 @t72 @t10)) (_ @t41 @t78 @t10)))))) % 150.81/151.16 (step @p106 :rule refl :args (@t80)) % 150.81/151.16 (step @p107 :rule refl :args (@t11)) % 150.81/151.16 (step @p108 :rule cong :premises (@p107 @p106) :args ((= @t11 @t80))) % 150.81/151.16 (step @p109 :rule symm :premises (@p108)) % 150.81/151.16 (step @p110 :rule eq_resolve :premises (@p107 @p109)) % 150.81/151.16 (step @p111 :rule refl :args (@t81)) % 150.81/151.16 (step @p112 :rule refl :args (@t13)) % 150.81/151.16 (step @p113 :rule cong :premises (@p112 @p111) :args ((= @t13 @t81))) % 150.81/151.16 (step @p114 :rule symm :premises (@p113)) % 150.81/151.16 (step @p115 :rule eq_resolve :premises (@p112 @p114)) % 150.81/151.16 (step @p116 :rule cong :premises (@p115) :args (@t84)) % 150.81/151.16 (step @p117 :rule refl :args (@t82)) % 150.81/151.16 (step @p118 :rule refl :args (@t7)) % 150.81/151.16 (step @p119 :rule cong :premises (@p118 @p117) :args ((= @t7 @t82))) % 150.81/151.16 (step @p120 :rule symm :premises (@p119)) % 150.81/151.16 (step @p121 :rule eq_resolve :premises (@p118 @p120)) % 150.81/151.16 (step @p122 :rule cong :premises (@p121) :args (@t85)) % 150.81/151.16 (step @p123 :rule nary_cong :premises (@p122 @p116 @p110) :args (@t86)) % 150.81/151.16 (step @p124 :rule cong :premises (@p123) :args ((forall @t15 @t86))) % 150.81/151.16 (step @p125 :rule aci_norm :args ((= (or @t85 (or @t84 @t11)) @t86))) % 150.81/151.16 (step @p126 :rule bool-impl-elim :args (@t13 @t11)) % 150.81/151.16 (step @p127 :rule refl :args (@t85)) % 150.81/151.16 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((or @t85 @t14))) % 150.81/151.16 (step @p129 :rule trans :premises (@p128 @p125)) % 150.81/151.16 (step @p130 :rule bool-impl-elim :args (@t7 @t14)) % 150.81/151.16 (step @p131 :rule trans :premises (@p130 @p129)) % 150.81/151.16 (step @p132 :rule cong :premises (@p131) :args (@t16)) % 150.81/151.16 (step @p133 :rule trans :premises (@p132 @p124)) % 150.81/151.16 (step @p134 :rule trans :premises (@p133 @p105)) % 150.81/151.16 (step @p135 :rule eq_resolve :premises (@p4 @p134)) % 150.81/151.16 (step @p136 :rule instantiate :premises (@p135) :args ((@list @t76 @t77 @t87))) % 150.81/151.16 (step @p137 :rule instantiate :premises (@p103) :args ((@list @t87 @t77))) % 150.81/151.16 (step @p138 :rule instantiate :premises (@p84) :args ((@list tptp.x tptp.y tptp.z))) % 150.81/151.16 ; trust TRUST PREPROCESS_HO_ELIM % 150.81/151.16 (step @p139 :rule trust :premises () :args ((= @t1 @t88))) % 150.81/151.16 (step @p140 :rule eq_resolve :premises (@p1 @p139)) % 150.81/151.16 (step @p141 :rule cnf_or_pos :args (@t92)) % 150.81/151.16 (step @p142 :rule reordering :premises (@p141) :args ((or @t91 @t90 (not @t92)))) % 150.81/151.16 (step @p143 :rule chain_m_resolution :premises (@p142 @p140 @p138) :args (@t90 @t70 (@list @t88 @t92))) % 150.81/151.16 (step @p144 :rule cnf_or_pos :args (@t95)) % 150.81/151.16 (step @p145 :rule reordering :premises (@p144) :args ((or @t94 @t93 (not @t95)))) % 150.81/151.16 (step @p146 :rule chain_m_resolution :premises (@p145 @p143 @p137) :args (@t93 @t70 (@list @t90 @t95))) % 150.81/151.16 ; trust TRUST PREPROCESS_HO_ELIM % 150.81/151.16 (step @p147 :rule trust :premises () :args ((= (forall @t8 (or @t83 @t96)) (forall @t8 (or @t79 (_ @t41 (_ @t40 @t39 @t4) @t3)))))) % 150.81/151.16 (step @p148 :rule refl :args (@t96)) % 150.81/151.16 (step @p149 :rule refl :args (@t5)) % 150.81/151.16 (step @p150 :rule cong :premises (@p149 @p148) :args ((= @t5 @t96))) % 150.81/151.16 (step @p151 :rule symm :premises (@p150)) % 150.81/151.16 (step @p152 :rule eq_resolve :premises (@p149 @p151)) % 150.81/151.16 (step @p153 :rule nary_cong :premises (@p122 @p152) :args (@t97)) % 150.81/151.16 (step @p154 :rule cong :premises (@p153) :args ((forall @t8 @t97))) % 150.81/151.16 (step @p155 :rule bool-impl-elim :args (@t7 @t5)) % 150.81/151.16 (step @p156 :rule cong :premises (@p155) :args (@t9)) % 150.81/151.16 (step @p157 :rule trans :premises (@p156 @p154)) % 150.81/151.16 (step @p158 :rule trans :premises (@p157 @p147)) % 150.81/151.16 (step @p159 :rule eq_resolve :premises (@p3 @p158)) % 150.81/151.16 (step @p160 :rule instantiate :premises (@p159) :args ((@list @t76 @t87))) % 150.81/151.16 ; trust TRUST PREPROCESS_HO_ELIM % 150.81/151.16 (step @p161 :rule trust :premises () :args ((= @t38 (not @t98)))) % 150.81/151.16 (step @p162 :rule eq_resolve :premises (@p9 @p161)) % 150.81/151.16 (step @p163 :rule cnf_or_pos :args (@t102)) % 150.81/151.16 (step @p164 :rule reordering :premises (@p163) :args ((or @t98 @t101 (not @t102)))) % 150.81/151.16 (step @p165 :rule chain_m_resolution :premises (@p164 @p162 @p160) :args (@t101 @t103 (@list @t98 @t102))) % 150.81/151.16 (step @p166 :rule cnf_or_pos :args (@t107)) % 150.81/151.16 (step @p167 :rule reordering :premises (@p166) :args ((or @t100 @t104 @t106 (not @t107)))) % 150.81/151.16 (step @p168 :rule chain_m_resolution :premises (@p167 @p165 @p146 @p136) :args (@t106 (@list true false false) (@list @t100 @t93 @t107))) % 150.81/151.16 (step @p169 :rule cnf_or_pos :args (@t110)) % 150.81/151.16 (step @p170 :rule reordering :premises (@p169) :args ((or @t105 @t109 (not @t110)))) % 150.81/151.16 (step @p171 :rule chain_m_resolution :premises (@p170 @p168 @p104) :args (@t109 @t103 (@list @t105 @t110))) % 150.81/151.16 ; trust TRUST PREPROCESS_HO_ELIM % 150.81/151.16 (step @p172 :rule trust :premises () :args ((= (forall @t8 @t113) (forall @t8 (_ @t41 (_ @t40 @t42 (_ @t58 @t59 @t4)) (_ @t58 @t57 @t3)))))) % 150.81/151.16 (step @p173 :rule refl :args ((tptp.eq @t35 @t34))) % 150.81/151.16 (step @p174 :rule refl :args (@t111)) % 150.81/151.16 (step @p175 :rule refl :args (@t112)) % 150.81/151.16 (step @p176 :rule cong :premises (@p175 @p174) :args (@t113)) % 150.81/151.16 (step @p177 :rule trans :premises (@p176 @p173)) % 150.81/151.16 (step @p178 :rule refl :args (tptp.eq)) % 150.81/151.16 (step @p179 :rule ho_cong :premises (@p178 @p175)) % 150.81/151.16 (step @p180 :rule ho_cong :premises (@p179 @p174)) % 150.81/151.16 (step @p181 :rule cong :premises (@p180 @p177) :args ((= (_ (_ tptp.eq @t112) @t111) @t113))) % 150.81/151.16 (step @p182 :rule symm :premises (@p181)) % 150.81/151.16 (step @p183 :rule refl :args (@t36)) % 150.81/151.16 (step @p184 :rule eq_resolve :premises (@p183 @p182)) % 150.81/151.16 (step @p185 :rule refl :args (@t34)) % 150.81/151.16 (step @p186 :rule cong :premises (@p185 @p174) :args ((= @t34 @t111))) % 150.81/151.16 (step @p187 :rule symm :premises (@p186)) % 150.81/151.16 (step @p188 :rule eq_resolve :premises (@p185 @p187)) % 150.81/151.16 (step @p189 :rule refl :args (@t35)) % 150.81/151.16 (step @p190 :rule cong :premises (@p189 @p175) :args ((= @t35 @t112))) % 150.81/151.16 (step @p191 :rule symm :premises (@p190)) % 150.81/151.16 (step @p192 :rule eq_resolve :premises (@p189 @p191)) % 150.81/151.16 (step @p193 :rule ho_cong :premises (@p178 @p192)) % 150.81/151.16 (step @p194 :rule ho_cong :premises (@p193 @p188)) % 150.81/151.16 (step @p195 :rule trans :premises (@p194 @p184)) % 150.81/151.16 (step @p196 :rule cong :premises (@p195) :args (@t37)) % 150.81/151.16 (step @p197 :rule trans :premises (@p196 @p172)) % 150.81/151.16 (step @p198 :rule eq_resolve :premises (@p8 @p197)) % 150.81/151.16 (step @p199 :rule instantiate :premises (@p198) :args ((@list tptp.z tptp.y))) % 150.81/151.16 (step @p200 :rule instantiate :premises (@p198) :args ((@list tptp.u tptp.y))) % 150.81/151.16 (step @p201 :rule cnf_or_pos :args (@t119)) % 150.81/151.16 (step @p202 :rule reordering :premises (@p201) :args ((or @t115 @t117 @t108 @t118 @t120))) % 150.81/151.16 (step @p203 :rule chain_m_resolution :premises (@p202 @p200 @p199 @p171 @p90) :args (@t120 (@list false false true false) (@list @t114 @t116 @t108 @t67))) % 150.81/151.16 (assume-push @p210 @t44) % 150.81/151.16 (step @p205 :rule instantiate :premises (@p53) :args ((@list @t66 @t65 @t77 @t76))) % 150.81/151.16 (step-pop @p211 :rule scope :premises (@p205)) % 150.81/151.16 (step @p206 :rule process_scope :premises (@p211) :args (@t119)) % 150.81/151.16 (step @p208 :rule implies_elim :premises (@p206)) % 150.81/151.16 (step @p209 false :rule chain_m_resolution :premises (@p208 @p203 @p53) :args (false @t103 (@list @t119 @t44))) % 150.81/151.16 ) % 150.81/151.16 % SZS output end Proof % 150.81/151.16 % cvc5 exiting %------------------------------------------------------------------------------