%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO224^5 : 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 09:12:16 AM UTC 2026 % Result : Theorem 0.51s 0.70s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO224^5 : 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 00:00:35 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.51/0.70 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.51/0.70 % SZS status Theorem % 0.51/0.70 % SZS output start Proof % 0.51/0.70 ( % 0.51/0.70 (declare-sort $$unsorted 0) % 0.51/0.70 (declare-const tptp.cP $$unsorted) % 0.51/0.70 (declare-const tptp.cS $$unsorted) % 0.51/0.70 (declare-const tptp.cUNIQUE (-> $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.cW (-> $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.cWRH (-> $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.cLIKE (-> $$unsorted $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.cJ $$unsorted) % 0.51/0.70 (define @t1 () (@var "X" $$unsorted)) % 0.51/0.70 (define @t2 () (_ (_ tptp.cLIKE tptp.cJ) @t1)) % 0.51/0.70 (define @t3 () (_ tptp.cWRH @t1)) % 0.51/0.70 (define @t4 () (_ tptp.cW @t1)) % 0.51/0.70 (define @t5 () (_ tptp.cUNIQUE @t1)) % 0.51/0.70 (define @t6 () (and @t5 @t4 @t3 @t2)) % 0.51/0.70 (define @t7 () (@list @t1)) % 0.51/0.70 (define @t8 () (exists @t7 @t6)) % 0.51/0.70 (define @t9 () (@var "Xan" (-> $$unsorted Bool))) % 0.51/0.70 (define @t10 () (_ @t9 tptp.cJ)) % 0.51/0.70 (define @t11 () (= @t10 @t8)) % 0.51/0.70 (define @t12 () (_ (_ tptp.cLIKE tptp.cP) tptp.cS)) % 0.51/0.70 (define @t13 () (_ @t9 tptp.cP)) % 0.51/0.70 (define @t14 () (= @t13 @t12)) % 0.51/0.70 (define @t15 () (and @t14 @t11)) % 0.51/0.70 (define @t16 () (@list @t9)) % 0.51/0.70 (define @t17 () (exists @t16 @t15)) % 0.51/0.70 (define @t18 () (_ tptp.cWRH tptp.cS)) % 0.51/0.70 (define @t19 () (_ tptp.cW tptp.cS)) % 0.51/0.70 (define @t20 () (_ tptp.cUNIQUE tptp.cS)) % 0.51/0.70 (define @t21 () (@var "Z" $$unsorted)) % 0.51/0.70 (define @t22 () (= @t1 @t21)) % 0.51/0.70 (define @t23 () (_ tptp.cW @t21)) % 0.51/0.70 (define @t24 () (_ tptp.cWRH @t21)) % 0.51/0.70 (define @t25 () (and @t24 @t23)) % 0.51/0.70 (define @t26 () (@list @t21)) % 0.51/0.70 (define @t27 () (forall @t26 (=> @t25 @t22))) % 0.51/0.70 (define @t28 () (=> @t5 @t27)) % 0.51/0.70 (define @t29 () (forall @t7 @t28)) % 0.51/0.70 (define @t30 () (and @t29 @t20 @t19 @t18)) % 0.51/0.70 (define @t31 () (=> @t30 @t17)) % 0.51/0.70 (define @t32 () (not @t31)) % 0.51/0.70 (define @t33 () (_ @t9 tptp.cJ)) % 0.51/0.70 (define @t34 () (tptp.cLIKE tptp.cJ @t1)) % 0.51/0.70 (define @t35 () (tptp.cWRH @t1)) % 0.51/0.70 (define @t36 () (tptp.cW @t1)) % 0.51/0.70 (define @t37 () (tptp.cUNIQUE @t1)) % 0.51/0.70 (define @t38 () (not @t37)) % 0.51/0.70 (define @t39 () (forall @t7 (or @t38 (not @t36) (not @t35) (not @t34)))) % 0.51/0.70 (define @t40 () (not @t39)) % 0.51/0.70 (define @t41 () (_ @t9 tptp.cP)) % 0.51/0.70 (define @t42 () (tptp.cLIKE tptp.cP tptp.cS)) % 0.51/0.70 (define @t43 () (forall @t16 (or (= @t42 (not @t41)) (= @t40 (not @t33))))) % 0.51/0.70 (define @t44 () (not @t43)) % 0.51/0.70 (define @t45 () (tptp.cWRH tptp.cS)) % 0.51/0.70 (define @t46 () (tptp.cW tptp.cS)) % 0.51/0.70 (define @t47 () (tptp.cUNIQUE tptp.cS)) % 0.51/0.70 (define @t48 () (@var "BOUND_VARIABLE_7471" $$unsorted)) % 0.51/0.70 (define @t49 () (= @t1 @t48)) % 0.51/0.70 (define @t50 () (not (tptp.cW @t48))) % 0.51/0.70 (define @t51 () (not (tptp.cWRH @t48))) % 0.51/0.70 (define @t52 () (or @t38 @t51 @t50 @t49)) % 0.51/0.70 (define @t53 () (@list @t1 @t48)) % 0.51/0.70 (define @t54 () (forall @t53 @t52)) % 0.51/0.70 (define @t55 () (and @t54 @t20 @t19 @t18)) % 0.51/0.70 (define @t56 () (=> @t55 @t44)) % 0.51/0.70 (define @t57 () (not @t10)) % 0.51/0.70 (define @t58 () (= @t40 @t57)) % 0.51/0.70 (define @t59 () (not @t13)) % 0.51/0.70 (define @t60 () (= @t12 @t59)) % 0.51/0.70 (define @t61 () (or @t60 @t58)) % 0.51/0.70 (define @t62 () (or (= @t59 @t12) (= @t57 @t40))) % 0.51/0.70 (define @t63 () (= @t10 @t40)) % 0.51/0.70 (define @t64 () (and @t14 @t63)) % 0.51/0.70 (define @t65 () (forall @t16 (not @t64))) % 0.51/0.70 (define @t66 () (not @t65)) % 0.51/0.70 (define @t67 () (not @t2)) % 0.51/0.70 (define @t68 () (not @t3)) % 0.51/0.70 (define @t69 () (not @t4)) % 0.51/0.70 (define @t70 () (not @t5)) % 0.51/0.70 (define @t71 () (or @t70 @t69 @t68 @t67)) % 0.51/0.70 (define @t72 () (forall @t7 (not @t6))) % 0.51/0.70 (define @t73 () (not @t72)) % 0.51/0.70 (define @t74 () (or @t51 @t50 @t49)) % 0.51/0.70 (define @t75 () (or @t38 @t74)) % 0.51/0.70 (define @t76 () (forall @t53 @t75)) % 0.51/0.70 (define @t77 () (@list @t48)) % 0.51/0.70 (define @t78 () (forall @t77 @t75)) % 0.51/0.70 (define @t79 () (forall @t77 @t74)) % 0.51/0.70 (define @t80 () (or @t38 @t79)) % 0.51/0.70 (define @t81 () (tptp.cW @t21)) % 0.51/0.70 (define @t82 () (tptp.cWRH @t21)) % 0.51/0.70 (define @t83 () (forall @t26 (or (not @t82) (not @t81) @t22))) % 0.51/0.70 (define @t84 () (or @t70 @t83)) % 0.51/0.70 (define @t85 () (not @t23)) % 0.51/0.70 (define @t86 () (not @t24)) % 0.51/0.70 (define @t87 () (or @t86 @t85 @t22)) % 0.51/0.70 (define @t88 () (tptp.cLIKE tptp.cJ tptp.cS)) % 0.51/0.70 (define @t89 () (not @t88)) % 0.51/0.70 (define @t90 () (= @t40 @t89)) % 0.51/0.70 (define @t91 () (@var "BOUND_VARIABLE_21762" $$unsorted)) % 0.51/0.70 (define @t92 () (lambda (@list @t91) (tptp.cLIKE @t91 tptp.cS))) % 0.51/0.70 (define @t93 () (_ @t92 tptp.cJ)) % 0.51/0.70 (define @t94 () (not @t93)) % 0.51/0.70 (define @t95 () (= @t40 @t94)) % 0.51/0.70 (define @t96 () (_ @t92 tptp.cP)) % 0.51/0.70 (define @t97 () (not @t96)) % 0.51/0.70 (define @t98 () (= @t42 @t97)) % 0.51/0.70 (define @t99 () (or @t98 @t95)) % 0.51/0.70 (define @t100 () (@list false)) % 0.51/0.70 (define @t101 () (not @t90)) % 0.51/0.70 (define @t102 () (not @t40)) % 0.51/0.70 (define @t103 () (@quantifiers_skolemize @t39 0)) % 0.51/0.70 (define @t104 () (tptp.cLIKE tptp.cJ @t103)) % 0.51/0.70 (define @t105 () (not @t104)) % 0.51/0.70 (define @t106 () (tptp.cUNIQUE @t103)) % 0.51/0.70 (define @t107 () (not @t106)) % 0.51/0.70 (define @t108 () (or @t107 (not (tptp.cW @t103)) (not (tptp.cWRH @t103)) @t105)) % 0.51/0.70 (define @t109 () (not @t108)) % 0.51/0.70 (define @t110 () (not @t46)) % 0.51/0.70 (define @t111 () (not @t45)) % 0.51/0.70 (define @t112 () (or @t107 @t111 @t110 (= @t103 tptp.cS))) % 0.51/0.70 (define @t113 () (= tptp.cS @t103)) % 0.51/0.70 (define @t114 () (or @t107 @t111 @t110 @t113)) % 0.51/0.70 (define @t115 () (not @t113)) % 0.51/0.70 (define @t116 () (not @t89)) % 0.51/0.70 (define @t117 () (and @t89 @t113 @t104)) % 0.51/0.70 (define @t118 () (not @t47)) % 0.51/0.70 (define @t119 () (or @t118 @t110 @t111 @t89)) % 0.51/0.70 (define @t120 () (not @t119)) % 0.51/0.70 (assume @p1 @t32) % 0.51/0.70 (assume @p2 true) % 0.51/0.70 (step @p3 :rule refl :args (@t44)) % 0.51/0.70 (step @p4 :rule refl :args (@t45)) % 0.51/0.70 (step @p5 :rule refl :args (@t18)) % 0.51/0.70 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t18 @t45))) % 0.51/0.70 (step @p7 :rule symm :premises (@p6)) % 0.51/0.70 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.51/0.70 (step @p9 :rule refl :args (@t46)) % 0.51/0.70 (step @p10 :rule refl :args (@t19)) % 0.51/0.70 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t19 @t46))) % 0.51/0.70 (step @p12 :rule symm :premises (@p11)) % 0.51/0.70 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.51/0.70 (step @p14 :rule refl :args (@t47)) % 0.51/0.70 (step @p15 :rule refl :args (@t20)) % 0.51/0.70 (step @p16 :rule cong :premises (@p15 @p14) :args ((= @t20 @t47))) % 0.51/0.70 (step @p17 :rule symm :premises (@p16)) % 0.51/0.70 (step @p18 :rule eq_resolve :premises (@p15 @p17)) % 0.51/0.70 (step @p19 :rule refl :args (@t54)) % 0.51/0.70 (step @p20 :rule nary_cong :premises (@p19 @p18 @p13 @p8) :args (@t55)) % 0.51/0.70 (step @p21 :rule cong :premises (@p20 @p3) :args (@t56)) % 0.51/0.70 (step @p22 :rule cong :premises (@p21) :args ((not @t56))) % 0.51/0.70 (step @p23 :rule refl :args (@t33)) % 0.51/0.70 (step @p24 :rule refl :args (@t10)) % 0.51/0.70 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t10 @t33))) % 0.51/0.70 (step @p26 :rule symm :premises (@p25)) % 0.51/0.70 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.51/0.70 (step @p28 :rule cong :premises (@p27) :args (@t57)) % 0.51/0.70 (step @p29 :rule refl :args (@t40)) % 0.51/0.70 (step @p30 :rule cong :premises (@p29 @p28) :args (@t58)) % 0.51/0.70 (step @p31 :rule refl :args (@t41)) % 0.51/0.70 (step @p32 :rule refl :args (@t13)) % 0.51/0.70 (step @p33 :rule cong :premises (@p32 @p31) :args ((= @t13 @t41))) % 0.51/0.70 (step @p34 :rule symm :premises (@p33)) % 0.51/0.70 (step @p35 :rule eq_resolve :premises (@p32 @p34)) % 0.51/0.70 (step @p36 :rule cong :premises (@p35) :args (@t59)) % 0.51/0.70 (step @p37 :rule refl :args (@t42)) % 0.51/0.70 (step @p38 :rule refl :args (@t12)) % 0.51/0.70 (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t12 @t42))) % 0.51/0.70 (step @p40 :rule symm :premises (@p39)) % 0.51/0.70 (step @p41 :rule eq_resolve :premises (@p38 @p40)) % 0.51/0.70 (step @p42 :rule cong :premises (@p41 @p36) :args (@t60)) % 0.51/0.70 (step @p43 :rule nary_cong :premises (@p42 @p30) :args (@t61)) % 0.51/0.70 (step @p44 :rule cong :premises (@p43) :args ((forall @t16 @t61))) % 0.51/0.70 (step @p45 :rule eq-symm :args (@t57 @t40)) % 0.51/0.70 (step @p46 :rule eq-symm :args (@t59 @t12)) % 0.51/0.70 (step @p47 :rule nary_cong :premises (@p46 @p45) :args (@t62)) % 0.51/0.70 (step @p48 :rule cong :premises (@p47) :args ((forall @t16 @t62))) % 0.51/0.70 (step @p49 :rule trans :premises (@p48 @p44)) % 0.51/0.70 (step @p50 :rule bool-not-eq-elim1 :args (@t10 @t40)) % 0.51/0.70 (step @p51 :rule bool-not-eq-elim1 :args (@t13 @t12)) % 0.51/0.70 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or (not @t14) (not @t63)))) % 0.51/0.70 (step @p53 :rule bool-and-de-morgan :args (@t14 @t63 true)) % 0.51/0.70 (step @p54 :rule trans :premises (@p53 @p52)) % 0.51/0.70 (step @p55 :rule cong :premises (@p54) :args (@t65)) % 0.51/0.70 (step @p56 :rule trans :premises (@p55 @p49)) % 0.51/0.70 (step @p57 :rule cong :premises (@p56) :args (@t66)) % 0.51/0.70 (step @p58 :rule exists-elim :args ((= (exists @t16 @t64) @t66))) % 0.51/0.70 (step @p59 :rule trans :premises (@p58 @p57)) % 0.51/0.70 (step @p60 :rule refl :args (@t34)) % 0.51/0.70 (step @p61 :rule refl :args (@t2)) % 0.51/0.70 (step @p62 :rule cong :premises (@p61 @p60) :args ((= @t2 @t34))) % 0.51/0.70 (step @p63 :rule symm :premises (@p62)) % 0.51/0.70 (step @p64 :rule eq_resolve :premises (@p61 @p63)) % 0.51/0.70 (step @p65 :rule cong :premises (@p64) :args (@t67)) % 0.51/0.70 (step @p66 :rule refl :args (@t35)) % 0.51/0.70 (step @p67 :rule refl :args (@t3)) % 0.51/0.70 (step @p68 :rule cong :premises (@p67 @p66) :args ((= @t3 @t35))) % 0.51/0.70 (step @p69 :rule symm :premises (@p68)) % 0.51/0.70 (step @p70 :rule eq_resolve :premises (@p67 @p69)) % 0.51/0.70 (step @p71 :rule cong :premises (@p70) :args (@t68)) % 0.51/0.70 (step @p72 :rule refl :args (@t36)) % 0.51/0.70 (step @p73 :rule refl :args (@t4)) % 0.51/0.70 (step @p74 :rule cong :premises (@p73 @p72) :args ((= @t4 @t36))) % 0.51/0.70 (step @p75 :rule symm :premises (@p74)) % 0.51/0.70 (step @p76 :rule eq_resolve :premises (@p73 @p75)) % 0.51/0.70 (step @p77 :rule cong :premises (@p76) :args (@t69)) % 0.51/0.70 (step @p78 :rule refl :args (@t37)) % 0.51/0.70 (step @p79 :rule refl :args (@t5)) % 0.51/0.70 (step @p80 :rule cong :premises (@p79 @p78) :args ((= @t5 @t37))) % 0.51/0.70 (step @p81 :rule symm :premises (@p80)) % 0.51/0.70 (step @p82 :rule eq_resolve :premises (@p79 @p81)) % 0.51/0.70 (step @p83 :rule cong :premises (@p82) :args (@t70)) % 0.51/0.70 (step @p84 :rule nary_cong :premises (@p83 @p77 @p71 @p65) :args (@t71)) % 0.51/0.70 (step @p85 :rule cong :premises (@p84) :args ((forall @t7 @t71))) % 0.51/0.70 (step @p86 :rule aci_norm :args ((= (or @t70 (or @t69 (or @t68 @t67))) @t71))) % 0.51/0.70 (step @p87 :rule bool-and-de-morgan :args (@t3 @t2 true)) % 0.51/0.70 (step @p88 :rule refl :args (@t69)) % 0.51/0.70 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or @t69 (not (and @t3 @t2))))) % 0.51/0.70 (step @p90 :rule bool-and-de-morgan :args (@t4 @t3 (and @t2))) % 0.51/0.70 (step @p91 :rule trans :premises (@p90 @p89)) % 0.51/0.70 (step @p92 :rule refl :args (@t70)) % 0.51/0.70 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or @t70 (not (and @t4 @t3 @t2))))) % 0.51/0.70 (step @p94 :rule bool-and-de-morgan :args (@t5 @t4 (and @t3 @t2))) % 0.51/0.70 (step @p95 :rule trans :premises (@p94 @p93)) % 0.51/0.70 (step @p96 :rule trans :premises (@p95 @p86)) % 0.51/0.70 (step @p97 :rule cong :premises (@p96) :args (@t72)) % 0.51/0.70 (step @p98 :rule trans :premises (@p97 @p85)) % 0.51/0.70 (step @p99 :rule cong :premises (@p98) :args (@t73)) % 0.51/0.70 (step @p100 :rule exists-elim :args ((= @t8 @t73))) % 0.51/0.70 (step @p101 :rule trans :premises (@p100 @p99)) % 0.51/0.70 (step @p102 :rule refl :args (@t10)) % 0.51/0.70 (step @p103 :rule cong :premises (@p102 @p101) :args (@t11)) % 0.51/0.70 (step @p104 :rule refl :args (@t14)) % 0.51/0.70 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t15)) % 0.51/0.70 (step @p106 :rule cong :premises (@p105) :args (@t17)) % 0.51/0.70 (step @p107 :rule trans :premises (@p106 @p59)) % 0.51/0.71 (step @p108 :rule refl :args (@t18)) % 0.51/0.71 (step @p109 :rule refl :args (@t19)) % 0.51/0.71 (step @p110 :rule refl :args (@t20)) % 0.51/0.71 (step @p111 :rule aci_norm :args ((= @t75 @t52))) % 0.51/0.71 (step @p112 :rule cong :premises (@p111) :args (@t76)) % 0.51/0.71 (step @p113 :rule quant-merge-prenex :args ((= (forall @t7 @t78) @t76))) % 0.51/0.71 (step @p114 :rule alpha_equiv :args (@t79 (@list @t48) (@list @t21))) % 0.51/0.71 (step @p115 :rule refl :args (@t38)) % 0.51/0.71 (step @p116 :rule nary_cong :premises (@p115 @p114) :args (@t80)) % 0.51/0.71 (step @p117 :rule quant-miniscope-or :args ((= @t78 @t80))) % 0.51/0.71 (step @p118 :rule trans :premises (@p117 @p116)) % 0.51/0.71 (step @p119 :rule symm :premises (@p118)) % 0.51/0.71 (step @p120 :rule cong :premises (@p119) :args ((forall @t7 (or @t38 @t83)))) % 0.51/0.71 (step @p121 :rule trans :premises (@p120 @p113)) % 0.51/0.71 (step @p122 :rule trans :premises (@p121 @p112)) % 0.51/0.71 (step @p123 :rule refl :args (@t83)) % 0.51/0.71 (step @p124 :rule nary_cong :premises (@p83 @p123) :args (@t84)) % 0.51/0.71 (step @p125 :rule cong :premises (@p124) :args ((forall @t7 @t84))) % 0.51/0.71 (step @p126 :rule trans :premises (@p125 @p122)) % 0.51/0.71 (step @p127 :rule bool-impl-elim :args (@t5 @t83)) % 0.51/0.71 (step @p128 :rule cong :premises (@p127) :args ((forall @t7 (=> @t5 @t83)))) % 0.51/0.71 (step @p129 :rule trans :premises (@p128 @p126)) % 0.51/0.71 (step @p130 :rule refl :args (@t22)) % 0.51/0.71 (step @p131 :rule refl :args (@t81)) % 0.51/0.71 (step @p132 :rule refl :args (@t23)) % 0.51/0.71 (step @p133 :rule cong :premises (@p132 @p131) :args ((= @t23 @t81))) % 0.51/0.71 (step @p134 :rule symm :premises (@p133)) % 0.51/0.71 (step @p135 :rule eq_resolve :premises (@p132 @p134)) % 0.51/0.71 (step @p136 :rule cong :premises (@p135) :args (@t85)) % 0.51/0.71 (step @p137 :rule refl :args (@t82)) % 0.51/0.71 (step @p138 :rule refl :args (@t24)) % 0.51/0.71 (step @p139 :rule cong :premises (@p138 @p137) :args ((= @t24 @t82))) % 0.51/0.71 (step @p140 :rule symm :premises (@p139)) % 0.51/0.71 (step @p141 :rule eq_resolve :premises (@p138 @p140)) % 0.51/0.71 (step @p142 :rule cong :premises (@p141) :args (@t86)) % 0.51/0.71 (step @p143 :rule nary_cong :premises (@p142 @p136 @p130) :args (@t87)) % 0.51/0.71 (step @p144 :rule cong :premises (@p143) :args ((forall @t26 @t87))) % 0.51/0.71 (step @p145 :rule aci_norm :args ((= (or (or @t86 @t85) @t22) @t87))) % 0.51/0.71 (step @p146 :rule bool-and-de-morgan :args (@t24 @t23 true)) % 0.51/0.71 (step @p147 :rule nary_cong :premises (@p146 @p130) :args ((or (not @t25) @t22))) % 0.51/0.71 (step @p148 :rule trans :premises (@p147 @p145)) % 0.51/0.71 (step @p149 :rule bool-impl-elim :args (@t25 @t22)) % 0.51/0.71 (step @p150 :rule trans :premises (@p149 @p148)) % 0.51/0.71 (step @p151 :rule cong :premises (@p150) :args (@t27)) % 0.51/0.71 (step @p152 :rule trans :premises (@p151 @p144)) % 0.51/0.71 (step @p153 :rule refl :args (@t5)) % 0.51/0.71 (step @p154 :rule cong :premises (@p153 @p152) :args (@t28)) % 0.51/0.71 (step @p155 :rule cong :premises (@p154) :args (@t29)) % 0.51/0.71 (step @p156 :rule trans :premises (@p155 @p129)) % 0.51/0.71 (step @p157 :rule nary_cong :premises (@p156 @p110 @p109 @p108) :args (@t30)) % 0.51/0.71 (step @p158 :rule cong :premises (@p157 @p107) :args (@t31)) % 0.51/0.71 (step @p159 :rule cong :premises (@p158) :args (@t32)) % 0.51/0.71 (step @p160 :rule trans :premises (@p159 @p22)) % 0.51/0.71 (step @p161 :rule eq_resolve :premises (@p1 @p160)) % 0.51/0.71 (step @p162 :rule not_implies_elim2 :premises (@p161)) % 0.51/0.71 (step @p163 :rule not_not_elim :premises (@p162)) % 0.51/0.71 (step @p164 :rule aci_norm :args ((= (or false @t90) @t90))) % 0.51/0.71 (step @p165 :rule beta-reduce :args ((= @t93 @t88))) % 0.51/0.71 (step @p166 :rule cong :premises (@p165) :args (@t94)) % 0.51/0.71 (step @p167 :rule refl :args (@t40)) % 0.51/0.71 (step @p168 :rule cong :premises (@p167 @p166) :args (@t95)) % 0.51/0.71 (step @p169 :rule bool-eq-nrefl :args (@t42)) % 0.51/0.71 (step @p170 :rule beta-reduce :args ((= @t96 @t42))) % 0.51/0.71 (step @p171 :rule cong :premises (@p170) :args (@t97)) % 0.51/0.71 (step @p172 :rule refl :args (@t42)) % 0.51/0.71 (step @p173 :rule cong :premises (@p172 @p171) :args (@t98)) % 0.51/0.71 (step @p174 :rule trans :premises (@p173 @p169)) % 0.51/0.71 (step @p175 :rule nary_cong :premises (@p174 @p168) :args (@t99)) % 0.51/0.71 (step @p176 :rule trans :premises (@p175 @p164)) % 0.51/0.71 (step @p177 :rule refl :args (@t43)) % 0.51/0.71 (step @p178 :rule cong :premises (@p177 @p176) :args ((=> @t43 @t99))) % 0.51/0.71 (assume-push @p279 @t43) % 0.51/0.71 (step @p180 :rule instantiate :premises (@p163) :args ((@list @t92))) % 0.51/0.71 (step-pop @p280 :rule scope :premises (@p180)) % 0.51/0.71 (step @p181 :rule process_scope :premises (@p280) :args (@t99)) % 0.51/0.71 (step @p183 :rule eq_resolve :premises (@p181 @p178)) % 0.51/0.71 (step @p184 :rule implies_elim :premises (@p183)) % 0.51/0.71 (step @p185 :rule chain_m_resolution :premises (@p184 @p163) :args (@t90 @t100 (@list @t43))) % 0.51/0.71 (step @p186 :rule refl :args (@t89)) % 0.51/0.71 (step @p187 :rule bool-double-not-elim :args (@t39)) % 0.51/0.71 (step @p188 :rule refl :args (@t101)) % 0.51/0.71 (step @p189 :rule nary_cong :premises (@p188 @p187 @p186) :args ((or @t101 @t102 @t89))) % 0.51/0.71 (step @p190 :rule cnf_equiv_pos1 :args (@t90)) % 0.51/0.71 (step @p191 :rule eq_resolve :premises (@p190 @p189)) % 0.51/0.71 (step @p192 :rule reordering :premises (@p191) :args ((or @t39 @t89 @t101))) % 0.51/0.71 (step @p193 :rule refl :args (@t109)) % 0.51/0.71 (step @p194 :rule nary_cong :premises (@p187 @p193) :args ((or @t102 @t109))) % 0.51/0.71 (assume-push @p281 @t40) % 0.51/0.71 (step @p196 :rule skolemize :premises (@p281)) % 0.51/0.71 (step-pop @p282 :rule scope :premises (@p196)) % 0.51/0.71 (step @p197 :rule process_scope :premises (@p282) :args (@t109)) % 0.51/0.71 (step @p199 :rule implies_elim :premises (@p197)) % 0.51/0.71 (step @p200 :rule eq_resolve :premises (@p199 @p194)) % 0.51/0.71 (step @p201 :rule bool-double-not-elim :args (@t106)) % 0.51/0.71 (step @p202 :rule refl :args (@t108)) % 0.51/0.71 (step @p203 :rule nary_cong :premises (@p202 @p201) :args ((or @t108 (not @t107)))) % 0.51/0.71 (step @p204 :rule cnf_or_neg :args (@t108 0)) % 0.51/0.71 (step @p205 :rule eq_resolve :premises (@p204 @p203)) % 0.51/0.71 (step @p206 :rule reordering :premises (@p205) :args ((or @t106 @t108))) % 0.51/0.71 (step @p207 :rule bool-double-not-elim :args (@t104)) % 0.51/0.71 (step @p208 :rule nary_cong :premises (@p202 @p207) :args ((or @t108 (not @t105)))) % 0.51/0.71 (step @p209 :rule cnf_or_neg :args (@t108 3)) % 0.51/0.71 (step @p210 :rule eq_resolve :premises (@p209 @p208)) % 0.51/0.71 (step @p211 :rule reordering :premises (@p210) :args ((or @t104 @t108))) % 0.51/0.71 (step @p212 :rule not_implies_elim1 :premises (@p161)) % 0.51/0.71 (step @p213 :rule and_elim :premises (@p212) :args (2)) % 0.51/0.71 (step @p214 :rule and_elim :premises (@p212) :args (3)) % 0.51/0.71 (step @p215 :rule and_elim :premises (@p212) :args (0)) % 0.51/0.71 (step @p216 :rule eq-symm :args (@t103 tptp.cS)) % 0.51/0.71 (step @p217 :rule refl :args (@t110)) % 0.51/0.71 (step @p218 :rule refl :args (@t111)) % 0.51/0.71 (step @p219 :rule refl :args (@t107)) % 0.51/0.71 (step @p220 :rule nary_cong :premises (@p219 @p218 @p217 @p216) :args (@t112)) % 0.51/0.71 (step @p221 :rule cong :premises (@p19 @p220) :args ((=> @t54 @t112))) % 0.51/0.71 (assume-push @p283 @t54) % 0.51/0.71 (step @p223 :rule instantiate :premises (@p215) :args ((@list @t103 tptp.cS))) % 0.51/0.71 (step-pop @p284 :rule scope :premises (@p223)) % 0.51/0.71 (step @p224 :rule process_scope :premises (@p284) :args (@t112)) % 0.51/0.71 (step @p226 :rule eq_resolve :premises (@p224 @p221)) % 0.51/0.71 (step @p227 :rule implies_elim :premises (@p226)) % 0.51/0.71 (step @p228 :rule chain_m_resolution :premises (@p227 @p215) :args (@t114 @t100 (@list @t54))) % 0.51/0.71 (step @p229 :rule cnf_or_pos :args (@t114)) % 0.51/0.71 (step @p230 :rule reordering :premises (@p229) :args ((or @t110 @t111 @t107 @t113 (not @t114)))) % 0.51/0.71 (step @p231 :rule refl :args (@t115)) % 0.51/0.71 (step @p232 :rule refl :args (@t105)) % 0.51/0.71 (step @p233 :rule bool-double-not-elim :args (@t88)) % 0.51/0.71 (step @p234 :rule nary_cong :premises (@p233 @p232 @p231) :args ((or @t116 @t105 @t115))) % 0.51/0.71 (assume-push @p285 @t89) % 0.51/0.71 (assume-push @p286 @t113) % 0.51/0.71 (assume-push @p287 @t104) % 0.51/0.71 (step @p238 :rule evaluate :args ((= true false))) % 0.51/0.71 (step @p239 :rule false_intro :premises (@p285)) % 0.51/0.71 (step @p240 :rule symm :premises (@p286)) % 0.51/0.71 (step @p241 :rule refl :args (tptp.cJ)) % 0.51/0.71 (step @p242 :rule cong :premises (@p241 @p240) :args (@t104)) % 0.51/0.71 (step @p243 :rule true_intro :premises (@p287)) % 0.51/0.71 (step @p244 :rule symm :premises (@p243)) % 0.51/0.71 (step @p245 :rule trans :premises (@p244 @p242 @p239)) % 0.51/0.71 (step @p246 false :rule eq_resolve :premises (@p245 @p238)) % 0.51/0.71 (step-pop @p288 :rule scope :premises (@p246)) % 0.51/0.71 (step-pop @p289 :rule scope :premises (@p288)) % 0.51/0.71 (step-pop @p290 :rule scope :premises (@p289)) % 0.51/0.71 (step @p247 :rule process_scope :premises (@p290) :args (false)) % 0.51/0.71 (assume-push @p291 @t89) % 0.51/0.71 (assume-push @p292 @t104) % 0.51/0.71 (assume-push @p293 @t113) % 0.51/0.71 (step @p254 :rule and_intro :premises (@p291 @p293 @p292)) % 0.51/0.71 (step-pop @p294 :rule scope :premises (@p254)) % 0.51/0.71 (step-pop @p295 :rule scope :premises (@p294)) % 0.51/0.71 (step-pop @p296 :rule scope :premises (@p295)) % 0.51/0.71 (step @p255 :rule process_scope :premises (@p296) :args (@t117)) % 0.51/0.71 (step @p259 :rule implies_elim :premises (@p255)) % 0.51/0.71 (step @p260 :rule resolution :premises (@p259 @p247) :args (true @t117)) % 0.51/0.71 (step @p261 :rule not_and :premises (@p260)) % 0.51/0.71 (step @p262 :rule eq_resolve :premises (@p261 @p234)) % 0.51/0.71 (step @p263 :rule chain_m_resolution :premises (@p262 @p230 @p228 @p214 @p213 @p211 @p206 @p200 @p192 @p185) :args (@t39 (@list false false false false false false true true false) (@list @t113 @t114 @t45 @t46 @t104 @t106 @t108 @t88 @t90))) % 0.51/0.71 (step @p264 :rule nary_cong :premises (@p188 @p167 @p233) :args ((or @t101 @t40 @t116))) % 0.51/0.71 (step @p265 :rule cnf_equiv_pos2 :args (@t90)) % 0.51/0.71 (step @p266 :rule eq_resolve :premises (@p265 @p264)) % 0.51/0.71 (step @p267 :rule reordering :premises (@p266) :args ((or @t40 @t88 @t101))) % 0.51/0.71 (step @p268 :rule chain_m_resolution :premises (@p267 @p263 @p185) :args (@t88 (@list false false) (@list @t39 @t90))) % 0.51/0.71 (step @p269 :rule and_elim :premises (@p212) :args (1)) % 0.51/0.71 (step @p270 :rule cnf_or_pos :args (@t119)) % 0.51/0.71 (step @p271 :rule reordering :premises (@p270) :args ((or @t118 @t110 @t111 @t89 @t120))) % 0.51/0.71 (step @p272 :rule chain_m_resolution :premises (@p271 @p269 @p213 @p214 @p268) :args (@t120 (@list false false false false) (@list @t47 @t46 @t45 @t88))) % 0.51/0.71 (assume-push @p297 @t39) % 0.51/0.71 (step @p274 :rule instantiate :premises (@p297) :args ((@list tptp.cS))) % 0.51/0.71 (step-pop @p298 :rule scope :premises (@p274)) % 0.51/0.71 (step @p275 :rule process_scope :premises (@p298) :args (@t119)) % 0.51/0.71 (step @p277 :rule implies_elim :premises (@p275)) % 0.51/0.71 (step @p278 false :rule chain_m_resolution :premises (@p277 @p272 @p263) :args (false (@list true false) (@list @t119 @t39))) % 0.51/0.71 ) % 0.51/0.71 % SZS output end Proof % 0.51/0.71 % cvc5 exiting %------------------------------------------------------------------------------