%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM753^1 : 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 : n024.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 08:40:34 AM UTC 2026 % Result : Theorem 150.51s 150.87s % Output : Proof 150.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NUM753^1 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 07:11:45 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.32 %----Proving TH0 % 150.51/150.87 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.51/150.87 --- 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... % 150.51/150.87 --- 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... % 150.51/150.87 --- Run --ho-elim --full-saturate-quant at 18s... % 150.51/150.87 % SZS status Theorem % 150.51/150.87 % SZS output start Proof % 150.51/150.87 ( % 150.51/150.87 (declare-sort tptp.frac 0) % 150.51/150.87 (declare-const tptp.pf (-> tptp.frac tptp.frac tptp.frac)) % 150.51/150.87 (declare-const tptp.z tptp.frac) % 150.51/150.87 (declare-const tptp.moref (-> tptp.frac tptp.frac Bool)) % 150.51/150.87 (declare-const tptp.u tptp.frac) % 150.51/150.87 (declare-const tptp.eq (-> tptp.frac tptp.frac Bool)) % 150.51/150.87 (declare-const tptp.x tptp.frac) % 150.51/150.87 (declare-const tptp.y tptp.frac) % 150.51/150.87 (define @t1 () (_ (_ tptp.eq tptp.x) tptp.y)) % 150.51/150.87 (define @t2 () (_ (_ tptp.moref tptp.z) tptp.u)) % 150.51/150.87 (define @t3 () (@var "Xu" tptp.frac)) % 150.51/150.87 (define @t4 () (@var "Xz" tptp.frac)) % 150.51/150.87 (define @t5 () (_ (_ tptp.moref @t4) @t3)) % 150.51/150.87 (define @t6 () (@var "Xy" tptp.frac)) % 150.51/150.87 (define @t7 () (_ (_ tptp.eq @t6) @t3)) % 150.51/150.87 (define @t8 () (=> @t7 @t5)) % 150.51/150.87 (define @t9 () (@var "Xx" tptp.frac)) % 150.51/150.87 (define @t10 () (_ tptp.eq @t9)) % 150.51/150.87 (define @t11 () (_ @t10 @t4)) % 150.51/150.87 (define @t12 () (=> @t11 @t8)) % 150.51/150.87 (define @t13 () (_ (_ tptp.moref @t9) @t6)) % 150.51/150.87 (define @t14 () (@list @t9 @t6 @t4 @t3)) % 150.51/150.87 (define @t15 () (forall @t14 (=> @t13 @t12))) % 150.51/150.87 (define @t16 () (_ tptp.pf @t4)) % 150.51/150.87 (define @t17 () (_ @t16 @t6)) % 150.51/150.87 (define @t18 () (_ @t16 @t9)) % 150.51/150.87 (define @t19 () (_ (_ tptp.moref @t18) @t17)) % 150.51/150.87 (define @t20 () (@list @t9 @t6 @t4)) % 150.51/150.87 (define @t21 () (forall @t20 (=> @t13 @t19))) % 150.51/150.87 (define @t22 () (_ @t10 @t9)) % 150.51/150.87 (define @t23 () (@list @t9)) % 150.51/150.87 (define @t24 () (forall @t23 @t22)) % 150.51/150.87 (define @t25 () (_ (_ tptp.pf @t6) @t3)) % 150.51/150.87 (define @t26 () (_ (_ tptp.pf @t9) @t4)) % 150.51/150.87 (define @t27 () (_ (_ tptp.eq @t26) @t25)) % 150.51/150.87 (define @t28 () (_ (_ tptp.eq @t4) @t3)) % 150.51/150.87 (define @t29 () (=> @t28 @t27)) % 150.51/150.87 (define @t30 () (_ @t10 @t6)) % 150.51/150.87 (define @t31 () (forall @t14 (=> @t30 @t29))) % 150.51/150.87 (define @t32 () (not (_ (_ tptp.moref (_ (_ tptp.pf tptp.x) tptp.z)) (_ (_ tptp.pf tptp.y) tptp.u)))) % 150.51/150.87 (define @t33 () (@const 0 (@ho-elim-sort (-> tptp.frac tptp.frac Bool)))) % 150.51/150.87 (define @t34 () (@const 1 (-> (@ho-elim-sort (-> tptp.frac tptp.frac Bool)) tptp.frac (@ho-elim-sort (-> tptp.frac Bool))))) % 150.51/150.87 (define @t35 () (@const 2 (-> (@ho-elim-sort (-> tptp.frac Bool)) tptp.frac Bool))) % 150.51/150.87 (define @t36 () (@const 3 (@ho-elim-sort (-> tptp.frac tptp.frac Bool)))) % 150.51/150.87 (define @t37 () (_ @t34 @t36 @t9)) % 150.51/150.87 (define @t38 () (not (_ @t35 (_ @t34 @t33 @t9) @t6))) % 150.51/150.87 (define @t39 () (forall @t14 (or @t38 (not (_ @t35 @t37 @t4)) (not (_ @t35 (_ @t34 @t36 @t6) @t3)) (_ @t35 (_ @t34 @t33 @t4) @t3)))) % 150.51/150.87 (define @t40 () (tptp.moref @t4 @t3)) % 150.51/150.87 (define @t41 () (tptp.eq @t6 @t3)) % 150.51/150.87 (define @t42 () (tptp.eq @t9 @t4)) % 150.51/150.87 (define @t43 () (tptp.moref @t9 @t6)) % 150.51/150.87 (define @t44 () (not @t43)) % 150.51/150.87 (define @t45 () (not @t7)) % 150.51/150.87 (define @t46 () (not @t11)) % 150.51/150.87 (define @t47 () (not @t13)) % 150.51/150.87 (define @t48 () (or @t47 @t46 @t45 @t5)) % 150.51/150.87 (define @t49 () (or @t46 @t45 @t5)) % 150.51/150.87 (define @t50 () (@const 4 (@ho-elim-sort (-> tptp.frac tptp.frac tptp.frac)))) % 150.51/150.87 (define @t51 () (@const 5 (-> (@ho-elim-sort (-> tptp.frac tptp.frac tptp.frac)) tptp.frac (@ho-elim-sort (-> tptp.frac tptp.frac))))) % 150.51/150.87 (define @t52 () (@const 6 (-> (@ho-elim-sort (-> tptp.frac tptp.frac)) tptp.frac tptp.frac))) % 150.51/150.87 (define @t53 () (tptp.pf @t6 @t3)) % 150.51/150.87 (define @t54 () (tptp.pf @t9 @t4)) % 150.51/150.87 (define @t55 () (tptp.eq @t54 @t53)) % 150.51/150.87 (define @t56 () (tptp.eq @t4 @t3)) % 150.51/150.87 (define @t57 () (tptp.eq @t9 @t6)) % 150.51/150.87 (define @t58 () (not @t28)) % 150.51/150.87 (define @t59 () (not @t30)) % 150.51/150.87 (define @t60 () (or @t59 @t58 @t27)) % 150.51/150.87 (define @t61 () (tptp.eq @t9 @t9)) % 150.51/150.87 (define @t62 () (_ @t34 @t36 tptp.x)) % 150.51/150.87 (define @t63 () (_ @t35 @t62 tptp.y)) % 150.51/150.87 (define @t64 () (_ @t52 (_ @t51 @t50 tptp.y) tptp.u)) % 150.51/150.87 (define @t65 () (_ @t51 @t50 tptp.x)) % 150.51/150.87 (define @t66 () (_ @t52 @t65 tptp.u)) % 150.51/150.87 (define @t67 () (_ @t35 (_ @t34 @t36 @t66) @t64)) % 150.51/150.87 (define @t68 () (_ @t35 (_ @t34 @t36 tptp.u) tptp.u)) % 150.51/150.87 (define @t69 () (not @t68)) % 150.51/150.87 (define @t70 () (not @t63)) % 150.51/150.87 (define @t71 () (or @t70 @t69 @t67)) % 150.51/150.87 (define @t72 () (@list false false false)) % 150.51/150.87 (define @t73 () (_ @t51 @t50 @t4)) % 150.51/150.87 (define @t74 () (tptp.pf @t4 @t6)) % 150.51/150.87 (define @t75 () (tptp.pf @t4 @t9)) % 150.51/150.87 (define @t76 () (tptp.moref @t75 @t74)) % 150.51/150.87 (define @t77 () (or @t47 @t19)) % 150.51/150.87 (define @t78 () (_ @t35 (_ @t34 @t33 tptp.z) tptp.u)) % 150.51/150.87 (define @t79 () (_ @t52 @t65 tptp.z)) % 150.51/150.87 (define @t80 () (_ @t34 @t33 @t79)) % 150.51/150.87 (define @t81 () (_ @t35 @t80 @t66)) % 150.51/150.87 (define @t82 () (not @t78)) % 150.51/150.87 (define @t83 () (or @t82 @t81)) % 150.51/150.87 (define @t84 () (_ @t35 (_ @t34 @t36 @t79) @t79)) % 150.51/150.87 (define @t85 () (_ @t35 (_ @t34 @t36 tptp.z) tptp.z)) % 150.51/150.87 (define @t86 () (not @t85)) % 150.51/150.87 (define @t87 () (_ @t35 @t62 tptp.x)) % 150.51/150.87 (define @t88 () (not @t87)) % 150.51/150.87 (define @t89 () (or @t88 @t86 @t84)) % 150.51/150.87 (define @t90 () (_ @t35 @t80 @t64)) % 150.51/150.87 (define @t91 () (not @t67)) % 150.51/150.87 (define @t92 () (not @t84)) % 150.51/150.87 (define @t93 () (not @t81)) % 150.51/150.87 (define @t94 () (or @t93 @t92 @t91 @t90)) % 150.51/150.87 (define @t95 () (not @t94)) % 150.51/150.87 (assume @p1 @t1) % 150.51/150.87 (assume @p2 @t2) % 150.51/150.87 (assume @p3 @t15) % 150.51/150.87 (assume @p4 @t21) % 150.51/150.87 (assume @p5 @t24) % 150.51/150.87 (assume @p6 @t31) % 150.51/150.87 (assume @p7 @t32) % 150.51/150.87 (assume @p8 true) % 150.51/150.87 ; WARNING: add trust step for TRUST % 150.51/150.87 ; trust TRUST PREPROCESS_HO_ELIM % 150.51/150.87 (step @p9 :rule trust :premises () :args ((= (forall @t14 (or @t44 (not @t42) (not @t41) @t40)) @t39))) % 150.51/150.87 (step @p10 :rule refl :args (@t40)) % 150.51/150.87 (step @p11 :rule refl :args (@t5)) % 150.51/150.87 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t5 @t40))) % 150.51/150.87 (step @p13 :rule symm :premises (@p12)) % 150.51/150.87 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 150.51/150.87 (step @p15 :rule refl :args (@t41)) % 150.51/150.87 (step @p16 :rule refl :args (@t7)) % 150.51/150.87 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t7 @t41))) % 150.51/150.87 (step @p18 :rule symm :premises (@p17)) % 150.51/150.87 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 150.51/150.87 (step @p20 :rule cong :premises (@p19) :args (@t45)) % 150.51/150.87 (step @p21 :rule refl :args (@t42)) % 150.51/150.87 (step @p22 :rule refl :args (@t11)) % 150.51/150.87 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t11 @t42))) % 150.51/150.87 (step @p24 :rule symm :premises (@p23)) % 150.51/150.87 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 150.51/150.87 (step @p26 :rule cong :premises (@p25) :args (@t46)) % 150.51/150.87 (step @p27 :rule refl :args (@t43)) % 150.51/150.87 (step @p28 :rule refl :args (@t13)) % 150.51/150.87 (step @p29 :rule cong :premises (@p28 @p27) :args ((= @t13 @t43))) % 150.51/150.87 (step @p30 :rule symm :premises (@p29)) % 150.51/150.87 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 150.51/150.87 (step @p32 :rule cong :premises (@p31) :args (@t47)) % 150.51/150.87 (step @p33 :rule nary_cong :premises (@p32 @p26 @p20 @p14) :args (@t48)) % 150.51/150.87 (step @p34 :rule cong :premises (@p33) :args ((forall @t14 @t48))) % 150.51/150.87 (step @p35 :rule aci_norm :args ((= (or @t47 @t49) @t48))) % 150.51/150.87 (step @p36 :rule aci_norm :args ((= (or @t46 (or @t45 @t5)) @t49))) % 150.51/150.87 (step @p37 :rule bool-impl-elim :args (@t7 @t5)) % 150.51/150.87 (step @p38 :rule refl :args (@t46)) % 150.51/150.87 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t46 @t8))) % 150.51/150.87 (step @p40 :rule trans :premises (@p39 @p36)) % 150.51/150.87 (step @p41 :rule bool-impl-elim :args (@t11 @t8)) % 150.51/150.87 (step @p42 :rule trans :premises (@p41 @p40)) % 150.51/150.87 (step @p43 :rule refl :args (@t47)) % 150.51/150.87 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or @t47 @t12))) % 150.51/150.87 (step @p45 :rule trans :premises (@p44 @p35)) % 150.51/150.87 (step @p46 :rule bool-impl-elim :args (@t13 @t12)) % 150.51/150.87 (step @p47 :rule trans :premises (@p46 @p45)) % 150.51/150.87 (step @p48 :rule cong :premises (@p47) :args (@t15)) % 150.51/150.87 (step @p49 :rule trans :premises (@p48 @p34)) % 150.51/150.87 (step @p50 :rule trans :premises (@p49 @p9)) % 150.51/150.87 (step @p51 :rule eq_resolve :premises (@p3 @p50)) % 150.51/150.87 ; trust TRUST PREPROCESS_HO_ELIM % 150.51/150.87 (step @p52 :rule trust :premises () :args ((= (forall @t14 (or (not @t57) (not @t56) @t55)) (forall @t14 (or (not (_ @t35 @t37 @t6)) (not (_ @t35 (_ @t34 @t36 @t4) @t3)) (_ @t35 (_ @t34 @t36 (_ @t52 (_ @t51 @t50 @t9) @t4)) (_ @t52 (_ @t51 @t50 @t6) @t3))))))) % 150.51/150.87 (step @p53 :rule refl :args ((tptp.eq @t26 @t25))) % 150.51/150.87 (step @p54 :rule refl :args (@t53)) % 150.51/150.87 (step @p55 :rule refl :args (@t54)) % 150.51/150.87 (step @p56 :rule cong :premises (@p55 @p54) :args (@t55)) % 150.51/150.87 (step @p57 :rule trans :premises (@p56 @p53)) % 150.51/150.87 (step @p58 :rule refl :args (tptp.eq)) % 150.51/150.87 (step @p59 :rule ho_cong :premises (@p58 @p55)) % 150.51/150.87 (step @p60 :rule ho_cong :premises (@p59 @p54)) % 150.51/150.87 (step @p61 :rule cong :premises (@p60 @p57) :args ((= (_ (_ tptp.eq @t54) @t53) @t55))) % 150.51/150.87 (step @p62 :rule symm :premises (@p61)) % 150.51/150.87 (step @p63 :rule refl :args (@t27)) % 150.51/150.87 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 150.51/150.87 (step @p65 :rule refl :args (@t25)) % 150.51/150.87 (step @p66 :rule cong :premises (@p65 @p54) :args ((= @t25 @t53))) % 150.51/150.87 (step @p67 :rule symm :premises (@p66)) % 150.51/150.87 (step @p68 :rule eq_resolve :premises (@p65 @p67)) % 150.51/150.87 (step @p69 :rule refl :args (@t26)) % 150.51/150.87 (step @p70 :rule cong :premises (@p69 @p55) :args ((= @t26 @t54))) % 150.51/150.87 (step @p71 :rule symm :premises (@p70)) % 150.51/150.87 (step @p72 :rule eq_resolve :premises (@p69 @p71)) % 150.51/150.87 (step @p73 :rule ho_cong :premises (@p58 @p72)) % 150.51/150.87 (step @p74 :rule ho_cong :premises (@p73 @p68)) % 150.51/150.87 (step @p75 :rule trans :premises (@p74 @p64)) % 150.51/150.87 (step @p76 :rule refl :args (@t56)) % 150.51/150.87 (step @p77 :rule refl :args (@t28)) % 150.51/150.87 (step @p78 :rule cong :premises (@p77 @p76) :args ((= @t28 @t56))) % 150.51/150.87 (step @p79 :rule symm :premises (@p78)) % 150.51/150.87 (step @p80 :rule eq_resolve :premises (@p77 @p79)) % 150.51/150.87 (step @p81 :rule cong :premises (@p80) :args (@t58)) % 150.51/150.87 (step @p82 :rule refl :args (@t57)) % 150.51/150.87 (step @p83 :rule refl :args (@t30)) % 150.51/150.87 (step @p84 :rule cong :premises (@p83 @p82) :args ((= @t30 @t57))) % 150.51/150.87 (step @p85 :rule symm :premises (@p84)) % 150.51/150.87 (step @p86 :rule eq_resolve :premises (@p83 @p85)) % 150.51/150.87 (step @p87 :rule cong :premises (@p86) :args (@t59)) % 150.51/150.87 (step @p88 :rule nary_cong :premises (@p87 @p81 @p75) :args (@t60)) % 150.51/150.87 (step @p89 :rule cong :premises (@p88) :args ((forall @t14 @t60))) % 150.51/150.87 (step @p90 :rule aci_norm :args ((= (or @t59 (or @t58 @t27)) @t60))) % 150.51/150.87 (step @p91 :rule bool-impl-elim :args (@t28 @t27)) % 150.51/150.87 (step @p92 :rule refl :args (@t59)) % 150.51/150.87 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or @t59 @t29))) % 150.51/150.87 (step @p94 :rule trans :premises (@p93 @p90)) % 150.51/150.87 (step @p95 :rule bool-impl-elim :args (@t30 @t29)) % 150.51/150.87 (step @p96 :rule trans :premises (@p95 @p94)) % 150.51/150.87 (step @p97 :rule cong :premises (@p96) :args (@t31)) % 150.51/150.87 (step @p98 :rule trans :premises (@p97 @p89)) % 150.51/150.87 (step @p99 :rule trans :premises (@p98 @p52)) % 150.51/150.87 (step @p100 :rule eq_resolve :premises (@p6 @p99)) % 150.51/150.87 (step @p101 :rule instantiate :premises (@p100) :args ((@list tptp.x tptp.y tptp.u tptp.u))) % 150.51/150.87 ; trust TRUST PREPROCESS_HO_ELIM % 150.51/150.87 (step @p102 :rule trust :premises () :args ((= (forall @t23 @t61) (forall @t23 (_ @t35 @t37 @t9))))) % 150.51/150.87 (step @p103 :rule refl :args (@t61)) % 150.51/150.87 (step @p104 :rule refl :args (@t22)) % 150.51/150.87 (step @p105 :rule cong :premises (@p104 @p103) :args ((= @t22 @t61))) % 150.51/150.87 (step @p106 :rule symm :premises (@p105)) % 150.51/150.87 (step @p107 :rule eq_resolve :premises (@p104 @p106)) % 150.51/150.87 (step @p108 :rule cong :premises (@p107) :args (@t24)) % 150.51/150.87 (step @p109 :rule trans :premises (@p108 @p102)) % 150.51/150.87 (step @p110 :rule eq_resolve :premises (@p5 @p109)) % 150.51/150.87 (step @p111 :rule instantiate :premises (@p110) :args ((@list tptp.u))) % 150.51/150.87 ; trust TRUST PREPROCESS_HO_ELIM % 150.51/150.87 (step @p112 :rule trust :premises () :args ((= @t1 @t63))) % 150.51/150.87 (step @p113 :rule eq_resolve :premises (@p1 @p112)) % 150.51/150.87 (step @p114 :rule cnf_or_pos :args (@t71)) % 150.51/150.87 (step @p115 :rule reordering :premises (@p114) :args ((or @t70 @t69 @t67 (not @t71)))) % 150.51/150.87 (step @p116 :rule chain_m_resolution :premises (@p115 @p113 @p111 @p101) :args (@t67 @t72 (@list @t63 @t68 @t71))) % 150.51/150.87 ; trust TRUST PREPROCESS_HO_ELIM % 150.51/150.87 (step @p117 :rule trust :premises () :args ((= (forall @t20 (or @t44 @t76)) (forall @t20 (or @t38 (_ @t35 (_ @t34 @t33 (_ @t52 @t73 @t9)) (_ @t52 @t73 @t6))))))) % 150.51/150.87 (step @p118 :rule refl :args ((tptp.moref @t18 @t17))) % 150.51/150.87 (step @p119 :rule refl :args (@t74)) % 150.51/150.87 (step @p120 :rule refl :args (@t75)) % 150.51/150.87 (step @p121 :rule cong :premises (@p120 @p119) :args (@t76)) % 150.51/150.87 (step @p122 :rule trans :premises (@p121 @p118)) % 150.51/150.87 (step @p123 :rule refl :args (tptp.moref)) % 150.51/150.87 (step @p124 :rule ho_cong :premises (@p123 @p120)) % 150.51/150.87 (step @p125 :rule ho_cong :premises (@p124 @p119)) % 150.51/150.87 (step @p126 :rule cong :premises (@p125 @p122) :args ((= (_ (_ tptp.moref @t75) @t74) @t76))) % 150.51/150.87 (step @p127 :rule symm :premises (@p126)) % 150.51/150.87 (step @p128 :rule refl :args (@t19)) % 150.51/150.87 (step @p129 :rule eq_resolve :premises (@p128 @p127)) % 150.51/150.87 (step @p130 :rule refl :args (@t17)) % 150.51/150.87 (step @p131 :rule cong :premises (@p130 @p119) :args ((= @t17 @t74))) % 150.51/150.87 (step @p132 :rule symm :premises (@p131)) % 150.51/150.87 (step @p133 :rule eq_resolve :premises (@p130 @p132)) % 150.51/150.87 (step @p134 :rule refl :args (@t18)) % 150.51/150.87 (step @p135 :rule cong :premises (@p134 @p120) :args ((= @t18 @t75))) % 150.51/150.87 (step @p136 :rule symm :premises (@p135)) % 150.51/150.87 (step @p137 :rule eq_resolve :premises (@p134 @p136)) % 150.51/150.87 (step @p138 :rule ho_cong :premises (@p123 @p137)) % 150.51/150.87 (step @p139 :rule ho_cong :premises (@p138 @p133)) % 150.51/150.87 (step @p140 :rule trans :premises (@p139 @p129)) % 150.51/150.87 (step @p141 :rule nary_cong :premises (@p32 @p140) :args (@t77)) % 150.51/150.87 (step @p142 :rule cong :premises (@p141) :args ((forall @t20 @t77))) % 150.51/150.87 (step @p143 :rule bool-impl-elim :args (@t13 @t19)) % 150.51/150.87 (step @p144 :rule cong :premises (@p143) :args (@t21)) % 150.51/150.87 (step @p145 :rule trans :premises (@p144 @p142)) % 150.51/150.87 (step @p146 :rule trans :premises (@p145 @p117)) % 150.51/150.87 (step @p147 :rule eq_resolve :premises (@p4 @p146)) % 150.51/150.87 (step @p148 :rule instantiate :premises (@p147) :args ((@list tptp.z tptp.u tptp.x))) % 150.51/150.87 ; trust TRUST PREPROCESS_HO_ELIM % 150.51/150.87 (step @p149 :rule trust :premises () :args ((= @t2 @t78))) % 150.51/150.87 (step @p150 :rule eq_resolve :premises (@p2 @p149)) % 150.51/150.87 (step @p151 :rule cnf_or_pos :args (@t83)) % 150.51/150.87 (step @p152 :rule reordering :premises (@p151) :args ((or @t82 @t81 (not @t83)))) % 150.51/150.87 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p148) :args (@t81 (@list false false) (@list @t78 @t83))) % 150.51/150.87 (step @p154 :rule instantiate :premises (@p100) :args ((@list tptp.x tptp.x tptp.z tptp.z))) % 150.51/150.87 (step @p155 :rule instantiate :premises (@p110) :args ((@list tptp.z))) % 150.51/150.87 (step @p156 :rule instantiate :premises (@p110) :args ((@list tptp.x))) % 150.51/150.87 (step @p157 :rule cnf_or_pos :args (@t89)) % 150.51/150.87 (step @p158 :rule reordering :premises (@p157) :args ((or @t88 @t86 @t84 (not @t89)))) % 150.51/150.87 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p155 @p154) :args (@t84 @t72 (@list @t87 @t85 @t89))) % 150.51/150.87 ; trust TRUST PREPROCESS_HO_ELIM % 150.51/150.87 (step @p160 :rule trust :premises () :args ((= @t32 (not @t90)))) % 150.51/150.87 (step @p161 :rule eq_resolve :premises (@p7 @p160)) % 150.51/150.87 (step @p162 :rule cnf_or_pos :args (@t94)) % 150.51/150.87 (step @p163 :rule reordering :premises (@p162) :args ((or @t90 @t92 @t93 @t91 @t95))) % 150.51/150.87 (step @p164 :rule chain_m_resolution :premises (@p163 @p161 @p159 @p153 @p116) :args (@t95 (@list true false false false) (@list @t90 @t84 @t81 @t67))) % 150.51/150.87 (assume-push @p171 @t39) % 150.51/150.87 (step @p166 :rule instantiate :premises (@p51) :args ((@list @t79 @t66 @t79 @t64))) % 150.51/150.87 (step-pop @p172 :rule scope :premises (@p166)) % 150.51/150.87 (step @p167 :rule process_scope :premises (@p172) :args (@t94)) % 150.51/150.87 (step @p169 :rule implies_elim :premises (@p167)) % 150.51/150.87 (step @p170 false :rule chain_m_resolution :premises (@p169 @p164 @p51) :args (false (@list true false) (@list @t94 @t39))) % 150.51/150.87 ) % 150.51/150.87 % SZS output end Proof % 150.51/150.87 % cvc5 exiting %------------------------------------------------------------------------------