%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO317^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.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 09:12:25 AM UTC 2026 % Result : Theorem 169.01s 169.37s % Output : Proof 169.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO317^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n011.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 00:02:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.49 %----Proving TH0 % 169.01/169.37 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 169.01/169.37 --- 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... % 169.01/169.37 --- 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... % 169.01/169.37 --- Run --ho-elim --full-saturate-quant at 18s... % 169.01/169.37 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 169.01/169.37 % SZS status Theorem % 169.01/169.37 % SZS output start Proof % 169.01/169.37 ( % 169.01/169.37 (declare-sort $$unsorted 0) % 169.01/169.37 (declare-const tptp.a $$unsorted) % 169.01/169.37 (declare-const tptp.cEQ (-> $$unsorted $$unsorted Bool)) % 169.01/169.37 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 169.01/169.37 (declare-const tptp.cP (-> $$unsorted Bool)) % 169.01/169.37 (define @t1 () (@var "Xz" $$unsorted)) % 169.01/169.37 (define @t2 () (@var "A" (-> $$unsorted Bool))) % 169.01/169.37 (define @t3 () (_ @t2 @t1)) % 169.01/169.37 (define @t4 () (@list @t1)) % 169.01/169.37 (define @t5 () (exists @t4 @t3)) % 169.01/169.37 (define @t6 () (@var "Xx" $$unsorted)) % 169.01/169.37 (define @t7 () (_ tptp.cP @t6)) % 169.01/169.37 (define @t8 () (_ tptp.f @t6)) % 169.01/169.37 (define @t9 () (_ @t2 @t8)) % 169.01/169.37 (define @t10 () (@list @t6)) % 169.01/169.37 (define @t11 () (forall @t10 (=> @t9 @t7))) % 169.01/169.37 (define @t12 () (and @t11 @t5)) % 169.01/169.37 (define @t13 () (@list @t2)) % 169.01/169.37 (define @t14 () (exists @t13 @t12)) % 169.01/169.37 (define @t15 () (@var "Xy" $$unsorted)) % 169.01/169.37 (define @t16 () (_ (_ tptp.cEQ @t15) @t1)) % 169.01/169.37 (define @t17 () (_ tptp.f @t1)) % 169.01/169.37 (define @t18 () (_ tptp.f @t15)) % 169.01/169.37 (define @t19 () (_ (_ tptp.cEQ @t18) @t17)) % 169.01/169.37 (define @t20 () (@list @t15 @t1)) % 169.01/169.37 (define @t21 () (forall @t20 (=> @t19 @t16))) % 169.01/169.37 (define @t22 () (_ tptp.cP tptp.a)) % 169.01/169.37 (define @t23 () (_ tptp.cP @t15)) % 169.01/169.37 (define @t24 () (_ tptp.cEQ @t6)) % 169.01/169.37 (define @t25 () (_ @t24 @t15)) % 169.01/169.37 (define @t26 () (and @t25 @t7)) % 169.01/169.37 (define @t27 () (@list @t6 @t15)) % 169.01/169.37 (define @t28 () (forall @t27 (=> @t26 @t23))) % 169.01/169.37 (define @t29 () (_ @t24 @t6)) % 169.01/169.37 (define @t30 () (forall @t10 @t29)) % 169.01/169.37 (define @t31 () (and @t30 @t28 @t22 @t21)) % 169.01/169.37 (define @t32 () (=> @t31 @t14)) % 169.01/169.37 (define @t33 () (not @t32)) % 169.01/169.37 (define @t34 () (@var "BOUND_VARIABLE_7504" $$unsorted)) % 169.01/169.37 (define @t35 () (@var "BOUND_VARIABLE_7522" (@ho-elim-sort (-> $$unsorted Bool)))) % 169.01/169.37 (define @t36 () (@const 0 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 169.01/169.37 (define @t37 () (@const 1 (@ho-elim-sort (-> $$unsorted Bool)))) % 169.01/169.37 (define @t38 () (_ @t36 @t37 @t6)) % 169.01/169.37 (define @t39 () (@const 2 (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 169.01/169.37 (define @t40 () (@const 3 (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted))) % 169.01/169.37 (define @t41 () (_ @t40 @t39 @t6)) % 169.01/169.37 (define @t42 () (@const 4 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 169.01/169.37 (define @t43 () (@const 5 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 169.01/169.37 (define @t44 () (_ @t36 @t37 tptp.a)) % 169.01/169.37 (define @t45 () (_ @t43 @t42 @t6)) % 169.01/169.37 (define @t46 () (forall @t27 (or (not (_ @t36 @t45 @t15)) (not @t38) (_ @t36 @t37 @t15)))) % 169.01/169.37 (define @t47 () (not (_ @t2 @t34))) % 169.01/169.37 (define @t48 () (tptp.cP @t6)) % 169.01/169.37 (define @t49 () (tptp.f @t6)) % 169.01/169.37 (define @t50 () (_ @t2 @t49)) % 169.01/169.37 (define @t51 () (forall @t10 (or (not @t50) @t48))) % 169.01/169.37 (define @t52 () (not @t51)) % 169.01/169.37 (define @t53 () (or @t52 @t47)) % 169.01/169.37 (define @t54 () (forall (@list @t2 @t34) @t53)) % 169.01/169.37 (define @t55 () (tptp.cEQ @t15 @t1)) % 169.01/169.37 (define @t56 () (tptp.f @t1)) % 169.01/169.37 (define @t57 () (tptp.f @t15)) % 169.01/169.37 (define @t58 () (tptp.cEQ @t57 @t56)) % 169.01/169.37 (define @t59 () (tptp.cP @t15)) % 169.01/169.37 (define @t60 () (tptp.cEQ @t6 @t15)) % 169.01/169.37 (define @t61 () (tptp.cEQ @t6 @t6)) % 169.01/169.37 (define @t62 () (@list @t34)) % 169.01/169.37 (define @t63 () (forall @t62 @t53)) % 169.01/169.37 (define @t64 () (forall @t62 @t47)) % 169.01/169.37 (define @t65 () (or @t52 @t64)) % 169.01/169.37 (define @t66 () (_ @t2 @t1)) % 169.01/169.37 (define @t67 () (forall @t4 (not @t66))) % 169.01/169.37 (define @t68 () (not @t67)) % 169.01/169.37 (define @t69 () (and @t51 @t68)) % 169.01/169.37 (define @t70 () (forall @t13 (not @t69))) % 169.01/169.37 (define @t71 () (not @t70)) % 169.01/169.37 (define @t72 () (not @t3)) % 169.01/169.37 (define @t73 () (forall @t4 @t72)) % 169.01/169.37 (define @t74 () (not @t73)) % 169.01/169.37 (define @t75 () (not @t9)) % 169.01/169.37 (define @t76 () (or @t75 @t7)) % 169.01/169.37 (define @t77 () (not @t19)) % 169.01/169.37 (define @t78 () (or @t77 @t16)) % 169.01/169.37 (define @t79 () (not @t7)) % 169.01/169.37 (define @t80 () (not @t25)) % 169.01/169.37 (define @t81 () (or @t80 @t79 @t23)) % 169.01/169.37 (define @t82 () (_ @t40 @t39 tptp.a)) % 169.01/169.37 (define @t83 () (_ @t43 @t42 @t82)) % 169.01/169.37 (define @t84 () (forall @t10 (or (not (_ @t36 @t83 @t41)) @t38))) % 169.01/169.37 (define @t85 () (@quantifiers_skolemize @t84 0)) % 169.01/169.37 (define @t86 () (@list tptp.a @t85)) % 169.01/169.37 (define @t87 () (_ @t36 @t83 @t82)) % 169.01/169.37 (define @t88 () (not @t87)) % 169.01/169.37 (define @t89 () (not @t84)) % 169.01/169.37 (define @t90 () (or @t89 @t88)) % 169.01/169.37 (define @t91 () (@list false false)) % 169.01/169.37 (define @t92 () (_ @t36 @t83 (_ @t40 @t39 @t85))) % 169.01/169.37 (define @t93 () (_ @t36 @t37 @t85)) % 169.01/169.37 (define @t94 () (not @t92)) % 169.01/169.37 (define @t95 () (or @t94 @t93)) % 169.01/169.37 (define @t96 () (@list true)) % 169.01/169.37 (define @t97 () (@list @t95)) % 169.01/169.37 (define @t98 () (_ @t36 (_ @t43 @t42 tptp.a) @t85)) % 169.01/169.37 (define @t99 () (or @t94 @t98)) % 169.01/169.37 (define @t100 () (not @t44)) % 169.01/169.37 (define @t101 () (not @t98)) % 169.01/169.37 (define @t102 () (or @t101 @t100 @t93)) % 169.01/169.37 (define @t103 () (not @t102)) % 169.01/169.37 (assume @p1 @t33) % 169.01/169.37 (assume @p2 true) % 169.01/169.37 ; WARNING: add trust step for TRUST % 169.01/169.37 ; trust TRUST PREPROCESS_HO_ELIM % 169.01/169.37 (step @p3 :rule trust :premises () :args ((= (not (=> (and (forall @t10 @t61) (forall @t27 (or (not @t60) (not @t48) @t59)) @t22 (forall @t20 (or (not @t58) @t55))) (not @t54))) (not (=> (and (forall @t10 (_ @t36 @t45 @t6)) @t46 @t44 (forall @t20 (or (not (_ @t36 (_ @t43 @t42 (_ @t40 @t39 @t15)) (_ @t40 @t39 @t1))) (_ @t36 (_ @t43 @t42 @t15) @t1)))) (not (forall (@list @t35 @t34) (or (not (forall @t10 (or (not (_ @t36 @t35 @t41)) @t38))) (not (_ @t36 @t35 @t34)))))))))) % 169.01/169.37 (step @p4 :rule quant-merge-prenex :args ((= (forall @t13 @t63) @t54))) % 169.01/169.37 (step @p5 :rule alpha_equiv :args (@t64 (@list @t34) (@list @t1))) % 169.01/169.37 (step @p6 :rule refl :args (@t52)) % 169.01/169.37 (step @p7 :rule nary_cong :premises (@p6 @p5) :args (@t65)) % 169.01/169.37 (step @p8 :rule quant-miniscope-or :args ((= @t63 @t65))) % 169.01/169.37 (step @p9 :rule trans :premises (@p8 @p7)) % 169.01/169.37 (step @p10 :rule symm :premises (@p9)) % 169.01/169.37 (step @p11 :rule cong :premises (@p10) :args ((forall @t13 (or @t52 @t67)))) % 169.01/169.37 (step @p12 :rule trans :premises (@p11 @p4)) % 169.01/169.37 (step @p13 :rule bool-double-not-elim :args (@t67)) % 169.01/169.37 (step @p14 :rule nary_cong :premises (@p6 @p13) :args ((or @t52 (not @t68)))) % 169.01/169.37 (step @p15 :rule bool-and-de-morgan :args (@t51 @t68 true)) % 169.01/169.37 (step @p16 :rule trans :premises (@p15 @p14)) % 169.01/169.37 (step @p17 :rule cong :premises (@p16) :args (@t70)) % 169.01/169.37 (step @p18 :rule trans :premises (@p17 @p12)) % 169.01/169.37 (step @p19 :rule cong :premises (@p18) :args (@t71)) % 169.01/169.37 (step @p20 :rule exists-elim :args ((= (exists @t13 @t69) @t71))) % 169.01/169.37 (step @p21 :rule trans :premises (@p20 @p19)) % 169.01/169.37 (step @p22 :rule refl :args (@t66)) % 169.01/169.37 (step @p23 :rule refl :args (@t3)) % 169.01/169.37 (step @p24 :rule cong :premises (@p23 @p22) :args ((= @t3 @t66))) % 169.01/169.37 (step @p25 :rule symm :premises (@p24)) % 169.01/169.37 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 169.01/169.37 (step @p27 :rule cong :premises (@p26) :args (@t72)) % 169.01/169.37 (step @p28 :rule cong :premises (@p27) :args (@t73)) % 169.01/169.37 (step @p29 :rule cong :premises (@p28) :args (@t74)) % 169.01/169.37 (step @p30 :rule exists-elim :args ((= @t5 @t74))) % 169.01/169.37 (step @p31 :rule trans :premises (@p30 @p29)) % 169.01/169.37 (step @p32 :rule refl :args (@t48)) % 169.01/169.37 (step @p33 :rule refl :args (@t7)) % 169.01/169.37 (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t7 @t48))) % 169.01/169.37 (step @p35 :rule symm :premises (@p34)) % 169.01/169.37 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 169.01/169.37 (step @p37 :rule refl :args ((_ @t2 @t8))) % 169.01/169.37 (step @p38 :rule refl :args (@t49)) % 169.01/169.37 (step @p39 :rule cong :premises (@p38) :args (@t50)) % 169.01/169.37 (step @p40 :rule trans :premises (@p39 @p37)) % 169.01/169.37 (step @p41 :rule refl :args (@t2)) % 169.01/169.37 (step @p42 :rule ho_cong :premises (@p41 @p38)) % 169.01/169.37 (step @p43 :rule cong :premises (@p42 @p40) :args ((= (_ @t2 @t49) @t50))) % 169.01/169.37 (step @p44 :rule symm :premises (@p43)) % 169.01/169.37 (step @p45 :rule refl :args (@t9)) % 169.01/169.37 (step @p46 :rule eq_resolve :premises (@p45 @p44)) % 169.01/169.37 (step @p47 :rule refl :args (@t8)) % 169.01/169.37 (step @p48 :rule cong :premises (@p47 @p38) :args ((= @t8 @t49))) % 169.01/169.37 (step @p49 :rule symm :premises (@p48)) % 169.01/169.37 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 169.01/169.37 (step @p51 :rule ho_cong :premises (@p41 @p50)) % 169.01/169.37 (step @p52 :rule trans :premises (@p51 @p46)) % 169.01/169.37 (step @p53 :rule cong :premises (@p52) :args (@t75)) % 169.01/169.37 (step @p54 :rule nary_cong :premises (@p53 @p36) :args (@t76)) % 169.01/169.37 (step @p55 :rule cong :premises (@p54) :args ((forall @t10 @t76))) % 169.01/169.37 (step @p56 :rule bool-impl-elim :args (@t9 @t7)) % 169.01/169.37 (step @p57 :rule cong :premises (@p56) :args (@t11)) % 169.01/169.37 (step @p58 :rule trans :premises (@p57 @p55)) % 169.01/169.37 (step @p59 :rule nary_cong :premises (@p58 @p31) :args (@t12)) % 169.01/169.37 (step @p60 :rule cong :premises (@p59) :args (@t14)) % 169.01/169.37 (step @p61 :rule trans :premises (@p60 @p21)) % 169.01/169.37 (step @p62 :rule refl :args (@t55)) % 169.01/169.37 (step @p63 :rule refl :args (@t16)) % 169.01/169.37 (step @p64 :rule cong :premises (@p63 @p62) :args ((= @t16 @t55))) % 169.01/169.37 (step @p65 :rule symm :premises (@p64)) % 169.01/169.37 (step @p66 :rule eq_resolve :premises (@p63 @p65)) % 169.01/169.37 (step @p67 :rule refl :args ((tptp.cEQ @t18 @t17))) % 169.01/169.37 (step @p68 :rule refl :args (@t56)) % 169.01/169.37 (step @p69 :rule refl :args (@t57)) % 169.01/169.37 (step @p70 :rule cong :premises (@p69 @p68) :args (@t58)) % 169.01/169.37 (step @p71 :rule trans :premises (@p70 @p67)) % 169.01/169.37 (step @p72 :rule refl :args (tptp.cEQ)) % 169.01/169.37 (step @p73 :rule ho_cong :premises (@p72 @p69)) % 169.01/169.37 (step @p74 :rule ho_cong :premises (@p73 @p68)) % 169.01/169.37 (step @p75 :rule cong :premises (@p74 @p71) :args ((= (_ (_ tptp.cEQ @t57) @t56) @t58))) % 169.01/169.37 (step @p76 :rule symm :premises (@p75)) % 169.01/169.37 (step @p77 :rule refl :args (@t19)) % 169.01/169.37 (step @p78 :rule eq_resolve :premises (@p77 @p76)) % 169.01/169.37 (step @p79 :rule refl :args (@t17)) % 169.01/169.37 (step @p80 :rule cong :premises (@p79 @p68) :args ((= @t17 @t56))) % 169.01/169.37 (step @p81 :rule symm :premises (@p80)) % 169.01/169.37 (step @p82 :rule eq_resolve :premises (@p79 @p81)) % 169.01/169.37 (step @p83 :rule refl :args (@t18)) % 169.01/169.37 (step @p84 :rule cong :premises (@p83 @p69) :args ((= @t18 @t57))) % 169.01/169.37 (step @p85 :rule symm :premises (@p84)) % 169.01/169.37 (step @p86 :rule eq_resolve :premises (@p83 @p85)) % 169.01/169.37 (step @p87 :rule ho_cong :premises (@p72 @p86)) % 169.01/169.37 (step @p88 :rule ho_cong :premises (@p87 @p82)) % 169.01/169.37 (step @p89 :rule trans :premises (@p88 @p78)) % 169.01/169.37 (step @p90 :rule cong :premises (@p89) :args (@t77)) % 169.01/169.37 (step @p91 :rule nary_cong :premises (@p90 @p66) :args (@t78)) % 169.01/169.37 (step @p92 :rule cong :premises (@p91) :args ((forall @t20 @t78))) % 169.01/169.37 (step @p93 :rule bool-impl-elim :args (@t19 @t16)) % 169.01/169.37 (step @p94 :rule cong :premises (@p93) :args (@t21)) % 169.01/169.37 (step @p95 :rule trans :premises (@p94 @p92)) % 169.01/169.37 (step @p96 :rule refl :args (@t22)) % 169.01/169.37 (step @p97 :rule refl :args (@t59)) % 169.01/169.37 (step @p98 :rule refl :args (@t23)) % 169.01/169.37 (step @p99 :rule cong :premises (@p98 @p97) :args ((= @t23 @t59))) % 169.01/169.37 (step @p100 :rule symm :premises (@p99)) % 169.01/169.37 (step @p101 :rule eq_resolve :premises (@p98 @p100)) % 169.01/169.37 (step @p102 :rule cong :premises (@p36) :args (@t79)) % 169.01/169.37 (step @p103 :rule refl :args (@t60)) % 169.01/169.37 (step @p104 :rule refl :args (@t25)) % 169.01/169.37 (step @p105 :rule cong :premises (@p104 @p103) :args ((= @t25 @t60))) % 169.01/169.37 (step @p106 :rule symm :premises (@p105)) % 169.01/169.37 (step @p107 :rule eq_resolve :premises (@p104 @p106)) % 169.01/169.37 (step @p108 :rule cong :premises (@p107) :args (@t80)) % 169.01/169.37 (step @p109 :rule nary_cong :premises (@p108 @p102 @p101) :args (@t81)) % 169.01/169.37 (step @p110 :rule cong :premises (@p109) :args ((forall @t27 @t81))) % 169.01/169.37 (step @p111 :rule aci_norm :args ((= (or (or @t80 @t79) @t23) @t81))) % 169.01/169.37 (step @p112 :rule bool-and-de-morgan :args (@t25 @t7 true)) % 169.01/169.37 (step @p113 :rule nary_cong :premises (@p112 @p98) :args ((or (not @t26) @t23))) % 169.01/169.37 (step @p114 :rule trans :premises (@p113 @p111)) % 169.01/169.37 (step @p115 :rule bool-impl-elim :args (@t26 @t23)) % 169.01/169.37 (step @p116 :rule trans :premises (@p115 @p114)) % 169.01/169.37 (step @p117 :rule cong :premises (@p116) :args (@t28)) % 169.01/169.37 (step @p118 :rule trans :premises (@p117 @p110)) % 169.01/169.37 (step @p119 :rule refl :args (@t61)) % 169.01/169.37 (step @p120 :rule refl :args (@t29)) % 169.01/169.37 (step @p121 :rule cong :premises (@p120 @p119) :args ((= @t29 @t61))) % 169.01/169.37 (step @p122 :rule symm :premises (@p121)) % 169.01/169.37 (step @p123 :rule eq_resolve :premises (@p120 @p122)) % 169.01/169.37 (step @p124 :rule cong :premises (@p123) :args (@t30)) % 169.01/169.37 (step @p125 :rule nary_cong :premises (@p124 @p118 @p96 @p95) :args (@t31)) % 169.01/169.37 (step @p126 :rule cong :premises (@p125 @p61) :args (@t32)) % 169.01/169.37 (step @p127 :rule cong :premises (@p126) :args (@t33)) % 169.01/169.37 (step @p128 :rule trans :premises (@p127 @p3)) % 169.01/169.37 (step @p129 :rule eq_resolve :premises (@p1 @p128)) % 169.01/169.37 (step @p130 :rule not_implies_elim1 :premises (@p129)) % 169.01/169.37 (step @p131 :rule and_elim :premises (@p130) :args (1)) % 169.01/169.37 (step @p132 :rule and_elim :premises (@p130) :args (3)) % 169.01/169.37 (step @p133 :rule instantiate :premises (@p132) :args (@t86)) % 169.01/169.37 (step @p134 :rule not_implies_elim2 :premises (@p129)) % 169.01/169.37 (step @p135 :rule not_not_elim :premises (@p134)) % 169.01/169.37 (step @p136 :rule instantiate :premises (@p135) :args ((@list @t83 @t82))) % 169.01/169.38 (step @p137 :rule and_elim :premises (@p130) :args (0)) % 169.01/169.38 (step @p138 :rule instantiate :premises (@p137) :args ((@list @t82))) % 169.01/169.38 (step @p139 :rule cnf_or_pos :args (@t90)) % 169.01/169.38 (step @p140 :rule reordering :premises (@p139) :args ((or @t88 @t89 (not @t90)))) % 169.01/169.38 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p136) :args (@t89 @t91 (@list @t87 @t90))) % 169.01/169.38 (step @p142 :rule skolemize :premises (@p141)) % 169.01/169.38 (step @p143 :rule bool-double-not-elim :args (@t92)) % 169.01/169.38 (step @p144 :rule refl :args (@t95)) % 169.01/169.38 (step @p145 :rule nary_cong :premises (@p144 @p143) :args ((or @t95 (not @t94)))) % 169.01/169.38 (step @p146 :rule cnf_or_neg :args (@t95 0)) % 169.01/169.38 (step @p147 :rule eq_resolve :premises (@p146 @p145)) % 169.01/169.38 (step @p148 :rule reordering :premises (@p147) :args ((or @t92 @t95))) % 169.01/169.38 (step @p149 :rule chain_m_resolution :premises (@p148 @p142) :args (@t92 @t96 @t97)) % 169.01/169.38 (step @p150 :rule cnf_or_pos :args (@t99)) % 169.01/169.38 (step @p151 :rule reordering :premises (@p150) :args ((or @t94 @t98 (not @t99)))) % 169.01/169.38 (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p133) :args (@t98 @t91 (@list @t92 @t99))) % 169.01/169.38 (step @p153 :rule cnf_or_neg :args (@t95 1)) % 169.01/169.38 (step @p154 :rule chain_m_resolution :premises (@p153 @p142) :args ((not @t93) @t96 @t97)) % 169.01/169.38 (step @p155 :rule and_elim :premises (@p130) :args (2)) % 169.01/169.38 (step @p156 :rule cnf_or_pos :args (@t102)) % 169.01/169.38 (step @p157 :rule reordering :premises (@p156) :args ((or @t100 @t93 @t101 @t103))) % 169.01/169.38 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p154 @p152) :args (@t103 (@list false true false) (@list @t44 @t93 @t98))) % 169.01/169.38 (assume-push @p165 @t46) % 169.01/169.38 (step @p160 :rule instantiate :premises (@p131) :args (@t86)) % 169.01/169.38 (step-pop @p166 :rule scope :premises (@p160)) % 169.01/169.38 (step @p161 :rule process_scope :premises (@p166) :args (@t102)) % 169.01/169.38 (step @p163 :rule implies_elim :premises (@p161)) % 169.01/169.38 (step @p164 false :rule chain_m_resolution :premises (@p163 @p158 @p131) :args (false (@list true false) (@list @t102 @t46))) % 169.01/169.38 ) % 169.01/169.38 % SZS output end Proof % 169.01/169.38 % cvc5 exiting %------------------------------------------------------------------------------