%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU700^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:52:47 AM UTC 2026 % Result : Theorem 0.40s 0.58s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU700^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n001.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 17:49:05 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.50 %----Proving TH0 % 0.40/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.58 % SZS status Theorem % 0.40/0.58 % SZS output start Proof % 0.40/0.58 ( % 0.40/0.58 (declare-sort $$unsorted 0) % 0.40/0.58 (declare-const tptp.dsetconstrI Bool) % 0.40/0.58 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.40/0.58 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.40/0.58 (define @t1 () (@var "Xy" $$unsorted)) % 0.40/0.58 (define @t2 () (@var "Xphi" (-> $$unsorted Bool))) % 0.40/0.58 (define @t3 () (_ @t2 @t1)) % 0.40/0.58 (define @t4 () (@list @t1)) % 0.40/0.58 (define @t5 () (lambda @t4 @t3)) % 0.40/0.58 (define @t6 () (@var "A" $$unsorted)) % 0.40/0.58 (define @t7 () (_ tptp.dsetconstr @t6)) % 0.40/0.58 (define @t8 () (_ @t7 @t5)) % 0.40/0.58 (define @t9 () (@var "Xx" $$unsorted)) % 0.40/0.58 (define @t10 () (_ tptp.in @t9)) % 0.40/0.58 (define @t11 () (_ @t10 @t8)) % 0.40/0.58 (define @t12 () (_ @t2 @t9)) % 0.40/0.58 (define @t13 () (=> @t12 @t11)) % 0.40/0.58 (define @t14 () (_ @t10 @t6)) % 0.40/0.58 (define @t15 () (@list @t6 @t2 @t9)) % 0.40/0.58 (define @t16 () (forall @t15 (=> @t14 @t13))) % 0.40/0.58 (define @t17 () (= tptp.dsetconstrI @t16)) % 0.40/0.58 (define @t18 () (@var "Xz" $$unsorted)) % 0.40/0.58 (define @t19 () (@var "Xphi" Bool)) % 0.40/0.58 (define @t20 () (not @t19)) % 0.40/0.58 (define @t21 () (and @t20 (= @t18 @t1))) % 0.40/0.58 (define @t22 () (and @t19 (= @t18 @t9))) % 0.40/0.58 (define @t23 () (or @t22 @t21)) % 0.40/0.58 (define @t24 () (@list @t18)) % 0.40/0.58 (define @t25 () (lambda @t24 @t23)) % 0.40/0.58 (define @t26 () (_ tptp.in @t1)) % 0.40/0.58 (define @t27 () (=> @t20 (_ @t26 (_ @t7 @t25)))) % 0.40/0.58 (define @t28 () (_ @t26 @t6)) % 0.40/0.58 (define @t29 () (=> @t28 @t27)) % 0.40/0.58 (define @t30 () (forall @t4 @t29)) % 0.40/0.58 (define @t31 () (=> @t14 @t30)) % 0.40/0.58 (define @t32 () (@list @t6 @t19 @t9)) % 0.40/0.58 (define @t33 () (forall @t32 @t31)) % 0.40/0.58 (define @t34 () (=> tptp.dsetconstrI @t33)) % 0.40/0.58 (define @t35 () (not @t34)) % 0.40/0.58 (define @t36 () (@var "BOUND_VARIABLE_7508" $$unsorted)) % 0.40/0.58 (define @t37 () (= @t18 @t36)) % 0.40/0.58 (define @t38 () (not (tptp.in @t36 @t6))) % 0.40/0.58 (define @t39 () (tptp.in @t9 @t6)) % 0.40/0.58 (define @t40 () (not @t39)) % 0.40/0.58 (define @t41 () (@list @t6 @t9 @t36)) % 0.40/0.58 (define @t42 () (forall @t41 (or @t40 @t38 (tptp.in @t36 (tptp.dsetconstr @t6 (lambda @t24 @t37)))))) % 0.40/0.58 (define @t43 () (_ @t2 @t1)) % 0.40/0.58 (define @t44 () (lambda @t4 @t43)) % 0.40/0.58 (define @t45 () (tptp.dsetconstr @t6 @t44)) % 0.40/0.58 (define @t46 () (tptp.in @t9 @t45)) % 0.40/0.58 (define @t47 () (_ @t2 @t9)) % 0.40/0.58 (define @t48 () (not @t47)) % 0.40/0.58 (define @t49 () (or @t40 @t48 @t46)) % 0.40/0.58 (define @t50 () (not @t12)) % 0.40/0.58 (define @t51 () (not @t14)) % 0.40/0.58 (define @t52 () (or @t51 @t50 @t11)) % 0.40/0.58 (define @t53 () (=> tptp.dsetconstrI @t42)) % 0.40/0.58 (define @t54 () (not false)) % 0.40/0.58 (define @t55 () (and @t54 @t37)) % 0.40/0.58 (define @t56 () (= @t9 @t18)) % 0.40/0.58 (define @t57 () (and false @t56)) % 0.40/0.58 (define @t58 () (or @t57 @t55)) % 0.40/0.58 (define @t59 () (lambda @t24 @t58)) % 0.40/0.58 (define @t60 () (tptp.dsetconstr @t6 @t59)) % 0.40/0.58 (define @t61 () (tptp.in @t36 @t60)) % 0.40/0.58 (define @t62 () (or @t40 @t38 @t61)) % 0.40/0.58 (define @t63 () (or @t40 false @t38 @t61)) % 0.40/0.58 (define @t64 () (and @t19 @t56)) % 0.40/0.58 (define @t65 () (tptp.in @t36 (tptp.dsetconstr @t6 (lambda @t24 (or @t64 (and @t20 @t37)))))) % 0.40/0.58 (define @t66 () (@list @t19)) % 0.40/0.58 (define @t67 () (not @t20)) % 0.40/0.58 (define @t68 () (or @t19 @t40 @t19 @t38 @t65)) % 0.40/0.58 (define @t69 () (or @t40 @t19 @t38 @t65)) % 0.40/0.58 (define @t70 () (forall @t66 @t69)) % 0.40/0.58 (define @t71 () (forall @t41 @t70)) % 0.40/0.58 (define @t72 () (forall (@list @t6 @t9 @t36 @t19) @t69)) % 0.40/0.58 (define @t73 () (@list @t6 @t19 @t9 @t36)) % 0.40/0.58 (define @t74 () (and @t20 (= @t36 @t18))) % 0.40/0.58 (define @t75 () (or @t64 @t74)) % 0.40/0.58 (define @t76 () (lambda @t24 @t75)) % 0.40/0.58 (define @t77 () (tptp.dsetconstr @t6 @t76)) % 0.40/0.58 (define @t78 () (tptp.in @t36 @t77)) % 0.40/0.58 (define @t79 () (or @t40 @t19 @t38 @t78)) % 0.40/0.58 (define @t80 () (or @t38 @t78)) % 0.40/0.58 (define @t81 () (or @t40 @t19 @t80)) % 0.40/0.58 (define @t82 () (forall @t73 @t81)) % 0.40/0.58 (define @t83 () (@list @t36)) % 0.40/0.58 (define @t84 () (forall @t83 @t81)) % 0.40/0.58 (define @t85 () (forall @t83 @t80)) % 0.40/0.58 (define @t86 () (or @t40 @t19 @t85)) % 0.40/0.58 (define @t87 () (lambda @t24 (or @t64 (and @t20 (= @t1 @t18))))) % 0.40/0.58 (define @t88 () (tptp.dsetconstr @t6 @t87)) % 0.40/0.58 (define @t89 () (tptp.in @t1 @t88)) % 0.40/0.58 (define @t90 () (tptp.in @t1 @t6)) % 0.40/0.58 (define @t91 () (forall @t4 (or (not @t90) @t89))) % 0.40/0.58 (define @t92 () (or @t51 @t19 @t91)) % 0.40/0.58 (define @t93 () (or @t19 @t91)) % 0.40/0.58 (define @t94 () (_ @t7 @t87)) % 0.40/0.58 (define @t95 () (_ @t26 @t94)) % 0.40/0.58 (define @t96 () (not @t28)) % 0.40/0.58 (define @t97 () (or @t96 @t95)) % 0.40/0.58 (define @t98 () (forall @t4 @t97)) % 0.40/0.58 (define @t99 () (or @t19 @t98)) % 0.40/0.58 (define @t100 () (or @t19 @t97)) % 0.40/0.58 (define @t101 () (or @t96 @t19 @t95)) % 0.40/0.58 (define @t102 () (=> @t20 @t95)) % 0.40/0.58 (define @t103 () (@quantifiers_skolemize @t42 2)) % 0.40/0.58 (define @t104 () (lambda @t24 (= @t18 @t103))) % 0.40/0.58 (define @t105 () (@purify @t104)) % 0.40/0.58 (define @t106 () (@quantifiers_skolemize @t42 0)) % 0.40/0.58 (define @t107 () (tptp.in @t103 (tptp.dsetconstr @t106 @t105))) % 0.40/0.58 (define @t108 () (tptp.in @t103 @t106)) % 0.40/0.58 (define @t109 () (not @t108)) % 0.40/0.58 (define @t110 () (not (tptp.in (@quantifiers_skolemize @t42 1) @t106))) % 0.40/0.58 (define @t111 () (or @t110 @t109 @t107)) % 0.40/0.58 (define @t112 () (not @t111)) % 0.40/0.58 (define @t113 () (not @t42)) % 0.40/0.58 (define @t114 () (tptp.dsetconstr @t106 @t104)) % 0.40/0.58 (define @t115 () (tptp.in @t103 @t114)) % 0.40/0.58 (define @t116 () (or @t110 @t109 @t115)) % 0.40/0.58 (define @t117 () (not @t116)) % 0.40/0.58 (define @t118 () (@list true)) % 0.40/0.58 (define @t119 () (@list @t111)) % 0.40/0.58 (define @t120 () (or @t109 @t107)) % 0.40/0.58 (define @t121 () (not @t120)) % 0.40/0.58 (define @t122 () (_ @t105 @t103)) % 0.40/0.58 (define @t123 () (not @t122)) % 0.40/0.58 (define @t124 () (or @t109 @t123 @t107)) % 0.40/0.58 (define @t125 () (forall @t15 (or @t40 @t48 (tptp.in @t9 (tptp.dsetconstr @t6 @t2))))) % 0.40/0.58 (assume @p1 @t17) % 0.40/0.58 (assume @p2 @t35) % 0.40/0.58 (assume @p3 true) % 0.40/0.58 (step @p4 :rule refl :args (@t42)) % 0.40/0.58 (step @p5 :rule lambda-elim :args ((= @t44 @t2))) % 0.40/0.58 (step @p6 :rule refl :args (@t6)) % 0.40/0.58 (step @p7 :rule cong :premises (@p6 @p5) :args (@t45)) % 0.40/0.58 (step @p8 :rule refl :args (@t9)) % 0.40/0.58 (step @p9 :rule cong :premises (@p8 @p7) :args (@t46)) % 0.40/0.58 (step @p10 :rule refl :args (@t48)) % 0.40/0.58 (step @p11 :rule refl :args (@t40)) % 0.40/0.58 (step @p12 :rule nary_cong :premises (@p11 @p10 @p9) :args (@t49)) % 0.40/0.58 (step @p13 :rule cong :premises (@p12) :args ((forall @t15 @t49))) % 0.40/0.58 (step @p14 :rule refl :args ((tptp.in @t9 @t8))) % 0.40/0.58 (step @p15 :rule refl :args ((tptp.dsetconstr @t6 @t5))) % 0.40/0.58 (step @p16 :rule refl :args (@t43)) % 0.40/0.58 (step @p17 :rule cong :premises (@p16) :args (@t44)) % 0.40/0.58 (step @p18 :rule refl :args (@t6)) % 0.40/0.58 (step @p19 :rule cong :premises (@p18 @p17) :args (@t45)) % 0.40/0.58 (step @p20 :rule trans :premises (@p19 @p15)) % 0.40/0.58 (step @p21 :rule refl :args (@t9)) % 0.40/0.58 (step @p22 :rule cong :premises (@p21 @p20) :args (@t46)) % 0.40/0.58 (step @p23 :rule trans :premises (@p22 @p14)) % 0.40/0.58 (step @p24 :rule refl :args (@t10)) % 0.40/0.58 (step @p25 :rule ho_cong :premises (@p24 @p20)) % 0.40/0.58 (step @p26 :rule cong :premises (@p25 @p23) :args ((= (_ @t10 @t45) @t46))) % 0.40/0.58 (step @p27 :rule symm :premises (@p26)) % 0.40/0.58 (step @p28 :rule refl :args (@t11)) % 0.40/0.58 (step @p29 :rule eq_resolve :premises (@p28 @p27)) % 0.40/0.58 (step @p30 :rule refl :args (@t7)) % 0.40/0.58 (step @p31 :rule ho_cong :premises (@p30 @p17)) % 0.40/0.58 (step @p32 :rule cong :premises (@p31 @p20) :args ((= (_ @t7 @t44) @t45))) % 0.40/0.58 (step @p33 :rule symm :premises (@p32)) % 0.40/0.58 (step @p34 :rule refl :args (@t8)) % 0.40/0.58 (step @p35 :rule eq_resolve :premises (@p34 @p33)) % 0.40/0.58 (step @p36 :rule refl :args (@t3)) % 0.40/0.58 (step @p37 :rule cong :premises (@p36 @p16) :args ((= @t3 @t43))) % 0.40/0.58 (step @p38 :rule symm :premises (@p37)) % 0.40/0.58 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.40/0.58 (step @p40 :rule cong :premises (@p39) :args (@t5)) % 0.40/0.58 (step @p41 :rule ho_cong :premises (@p30 @p40)) % 0.40/0.58 (step @p42 :rule trans :premises (@p41 @p35)) % 0.40/0.58 (step @p43 :rule ho_cong :premises (@p24 @p42)) % 0.40/0.58 (step @p44 :rule trans :premises (@p43 @p29)) % 0.40/0.58 (step @p45 :rule refl :args (@t47)) % 0.40/0.58 (step @p46 :rule refl :args (@t12)) % 0.40/0.58 (step @p47 :rule cong :premises (@p46 @p45) :args ((= @t12 @t47))) % 0.40/0.58 (step @p48 :rule symm :premises (@p47)) % 0.40/0.58 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 0.40/0.58 (step @p50 :rule cong :premises (@p49) :args (@t50)) % 0.40/0.58 (step @p51 :rule refl :args (@t39)) % 0.40/0.58 (step @p52 :rule refl :args (@t14)) % 0.40/0.58 (step @p53 :rule cong :premises (@p52 @p51) :args ((= @t14 @t39))) % 0.40/0.58 (step @p54 :rule symm :premises (@p53)) % 0.40/0.58 (step @p55 :rule eq_resolve :premises (@p52 @p54)) % 0.40/0.58 (step @p56 :rule cong :premises (@p55) :args (@t51)) % 0.40/0.58 (step @p57 :rule nary_cong :premises (@p56 @p50 @p44) :args (@t52)) % 0.40/0.58 (step @p58 :rule cong :premises (@p57) :args ((forall @t15 @t52))) % 0.40/0.58 (step @p59 :rule trans :premises (@p58 @p13)) % 0.40/0.58 (step @p60 :rule aci_norm :args ((= (or @t51 (or @t50 @t11)) @t52))) % 0.40/0.58 (step @p61 :rule bool-impl-elim :args (@t12 @t11)) % 0.40/0.58 (step @p62 :rule refl :args (@t51)) % 0.40/0.58 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t51 @t13))) % 0.40/0.58 (step @p64 :rule trans :premises (@p63 @p60)) % 0.40/0.58 (step @p65 :rule bool-impl-elim :args (@t14 @t13)) % 0.40/0.58 (step @p66 :rule trans :premises (@p65 @p64)) % 0.40/0.58 (step @p67 :rule cong :premises (@p66) :args (@t16)) % 0.40/0.58 (step @p68 :rule trans :premises (@p67 @p59)) % 0.40/0.58 (step @p69 :rule refl :args (tptp.dsetconstrI)) % 0.40/0.58 (step @p70 :rule cong :premises (@p69 @p68) :args (@t17)) % 0.40/0.58 (step @p71 :rule eq_resolve :premises (@p1 @p70)) % 0.40/0.58 (step @p72 :rule cong :premises (@p71 @p4) :args (@t53)) % 0.40/0.58 (step @p73 :rule cong :premises (@p72) :args ((not @t53))) % 0.40/0.58 (step @p74 :rule aci_norm :args ((= (or false @t37) @t37))) % 0.40/0.58 (step @p75 :rule aci_norm :args ((= (and true @t37) @t37))) % 0.40/0.58 (step @p76 :rule refl :args (@t37)) % 0.40/0.58 (step @p77 :rule evaluate :args (@t54)) % 0.40/0.58 (step @p78 :rule nary_cong :premises (@p77 @p76) :args (@t55)) % 0.40/0.58 (step @p79 :rule trans :premises (@p78 @p75)) % 0.40/0.58 (step @p80 :rule absorb :args ((= @t57 false))) % 0.40/0.58 (step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t58)) % 0.40/0.58 (step @p82 :rule trans :premises (@p81 @p74)) % 0.40/0.58 (step @p83 :rule cong :premises (@p82) :args (@t59)) % 0.40/0.58 (step @p84 :rule cong :premises (@p6 @p83) :args (@t60)) % 0.40/0.58 (step @p85 :rule refl :args (@t36)) % 0.40/0.58 (step @p86 :rule cong :premises (@p85 @p84) :args (@t61)) % 0.40/0.58 (step @p87 :rule refl :args (@t38)) % 0.40/0.58 (step @p88 :rule nary_cong :premises (@p11 @p87 @p86) :args (@t62)) % 0.40/0.58 (step @p89 :rule aci_norm :args ((= @t63 @t62))) % 0.40/0.58 (step @p90 :rule trans :premises (@p89 @p88)) % 0.40/0.58 (step @p91 :rule cong :premises (@p90) :args ((forall @t41 @t63))) % 0.40/0.58 (step @p92 :rule quant-var-elim-eq :args ((= (forall @t66 (or (not (= @t19 false)) @t40 @t19 @t38 @t65)) @t63))) % 0.40/0.58 (step @p93 :rule refl :args (@t65)) % 0.40/0.58 (step @p94 :rule refl :args (@t38)) % 0.40/0.58 (step @p95 :rule refl :args (@t19)) % 0.40/0.58 (step @p96 :rule refl :args (@t40)) % 0.40/0.58 (step @p97 :rule bool-eq-false :args (@t19)) % 0.40/0.58 (step @p98 :rule symm :premises (@p97)) % 0.40/0.58 (step @p99 :rule cong :premises (@p98) :args (@t67)) % 0.40/0.58 (step @p100 :rule bool-double-not-elim :args (@t19)) % 0.40/0.58 (step @p101 :rule symm :premises (@p100)) % 0.40/0.58 (step @p102 :rule trans :premises (@p101 @p99)) % 0.40/0.58 (step @p103 :rule nary_cong :premises (@p102 @p96 @p95 @p94 @p93) :args (@t68)) % 0.40/0.58 (step @p104 :rule aci_norm :args ((= @t69 @t68))) % 0.40/0.58 (step @p105 :rule trans :premises (@p104 @p103)) % 0.40/0.58 (step @p106 :rule cong :premises (@p105) :args (@t70)) % 0.40/0.58 (step @p107 :rule trans :premises (@p106 @p92)) % 0.40/0.58 (step @p108 :rule cong :premises (@p107) :args (@t71)) % 0.40/0.58 (step @p109 :rule quant-merge-prenex :args ((= @t71 @t72))) % 0.40/0.58 (step @p110 :rule symm :premises (@p109)) % 0.40/0.58 (step @p111 :rule quant_var_reordering :args ((= (forall @t73 @t69) @t72))) % 0.40/0.58 (step @p112 :rule trans :premises (@p111 @p110 @p108)) % 0.40/0.58 (step @p113 :rule trans :premises (@p112 @p91)) % 0.40/0.58 (step @p114 :rule eq-symm :args (@t36 @t18)) % 0.40/0.58 (step @p115 :rule refl :args (@t20)) % 0.40/0.58 (step @p116 :rule nary_cong :premises (@p115 @p114) :args (@t74)) % 0.40/0.58 (step @p117 :rule refl :args (@t64)) % 0.40/0.58 (step @p118 :rule nary_cong :premises (@p117 @p116) :args (@t75)) % 0.40/0.58 (step @p119 :rule cong :premises (@p118) :args (@t76)) % 0.40/0.58 (step @p120 :rule cong :premises (@p6 @p119) :args (@t77)) % 0.40/0.58 (step @p121 :rule cong :premises (@p85 @p120) :args (@t78)) % 0.40/0.58 (step @p122 :rule refl :args (@t19)) % 0.40/0.58 (step @p123 :rule nary_cong :premises (@p11 @p122 @p87 @p121) :args (@t79)) % 0.40/0.58 (step @p124 :rule aci_norm :args ((= @t81 @t79))) % 0.40/0.58 (step @p125 :rule trans :premises (@p124 @p123)) % 0.40/0.58 (step @p126 :rule cong :premises (@p125) :args (@t82)) % 0.40/0.58 (step @p127 :rule trans :premises (@p126 @p113)) % 0.40/0.58 (step @p128 :rule quant-merge-prenex :args ((= (forall @t32 @t84) @t82))) % 0.40/0.58 (step @p129 :rule alpha_equiv :args (@t85 (@list @t36) (@list @t1))) % 0.40/0.58 (step @p130 :rule nary_cong :premises (@p96 @p95 @p129) :args (@t86)) % 0.40/0.58 (step @p131 :rule quant-miniscope-or :args ((= @t84 @t86))) % 0.40/0.58 (step @p132 :rule trans :premises (@p131 @p130)) % 0.40/0.58 (step @p133 :rule symm :premises (@p132)) % 0.40/0.58 (step @p134 :rule cong :premises (@p133) :args ((forall @t32 (or @t40 @t19 @t91)))) % 0.40/0.58 (step @p135 :rule trans :premises (@p134 @p128)) % 0.40/0.58 (step @p136 :rule trans :premises (@p135 @p127)) % 0.40/0.58 (step @p137 :rule refl :args (@t91)) % 0.40/0.58 (step @p138 :rule nary_cong :premises (@p56 @p95 @p137) :args (@t92)) % 0.40/0.58 (step @p139 :rule cong :premises (@p138) :args ((forall @t32 @t92))) % 0.40/0.58 (step @p140 :rule trans :premises (@p139 @p136)) % 0.40/0.58 (step @p141 :rule aci_norm :args ((= (or @t51 @t93) @t92))) % 0.40/0.58 (step @p142 :rule bool-impl-elim :args (@t14 @t93)) % 0.40/0.58 (step @p143 :rule trans :premises (@p142 @p141)) % 0.40/0.58 (step @p144 :rule cong :premises (@p143) :args ((forall @t32 (=> @t14 @t93)))) % 0.40/0.58 (step @p145 :rule trans :premises (@p144 @p140)) % 0.40/0.58 (step @p146 :rule refl :args ((tptp.in @t1 @t94))) % 0.40/0.58 (step @p147 :rule refl :args (@t88)) % 0.40/0.58 (step @p148 :rule refl :args (@t1)) % 0.40/0.58 (step @p149 :rule cong :premises (@p148 @p147) :args (@t89)) % 0.40/0.58 (step @p150 :rule trans :premises (@p149 @p146)) % 0.40/0.58 (step @p151 :rule refl :args (@t26)) % 0.40/0.58 (step @p152 :rule ho_cong :premises (@p151 @p147)) % 0.40/0.58 (step @p153 :rule cong :premises (@p152 @p150) :args ((= (_ @t26 @t88) @t89))) % 0.40/0.58 (step @p154 :rule symm :premises (@p153)) % 0.40/0.58 (step @p155 :rule refl :args (@t95)) % 0.40/0.58 (step @p156 :rule eq_resolve :premises (@p155 @p154)) % 0.40/0.58 (step @p157 :rule refl :args (@t94)) % 0.40/0.58 (step @p158 :rule cong :premises (@p157 @p147) :args ((= @t94 @t88))) % 0.40/0.58 (step @p159 :rule symm :premises (@p158)) % 0.40/0.58 (step @p160 :rule eq_resolve :premises (@p157 @p159)) % 0.40/0.58 (step @p161 :rule ho_cong :premises (@p151 @p160)) % 0.40/0.58 (step @p162 :rule trans :premises (@p161 @p156)) % 0.40/0.58 (step @p163 :rule refl :args (@t90)) % 0.40/0.58 (step @p164 :rule refl :args (@t28)) % 0.40/0.58 (step @p165 :rule cong :premises (@p164 @p163) :args ((= @t28 @t90))) % 0.40/0.58 (step @p166 :rule symm :premises (@p165)) % 0.40/0.58 (step @p167 :rule eq_resolve :premises (@p164 @p166)) % 0.40/0.58 (step @p168 :rule cong :premises (@p167) :args (@t96)) % 0.40/0.58 (step @p169 :rule nary_cong :premises (@p168 @p162) :args (@t97)) % 0.40/0.58 (step @p170 :rule cong :premises (@p169) :args (@t98)) % 0.40/0.58 (step @p171 :rule nary_cong :premises (@p122 @p170) :args (@t99)) % 0.40/0.58 (step @p172 :rule quant-miniscope-or :args ((= (forall @t4 @t100) @t99))) % 0.40/0.58 (step @p173 :rule aci_norm :args ((= @t101 @t100))) % 0.40/0.58 (step @p174 :rule cong :premises (@p173) :args ((forall @t4 @t101))) % 0.40/0.58 (step @p175 :rule trans :premises (@p174 @p172)) % 0.40/0.58 (step @p176 :rule trans :premises (@p175 @p171)) % 0.40/0.58 (step @p177 :rule aci_norm :args ((= (or @t96 (or @t19 @t95)) @t101))) % 0.40/0.58 (step @p178 :rule nary_cong :premises (@p100 @p155) :args ((or @t67 @t95))) % 0.40/0.58 (step @p179 :rule bool-impl-elim :args (@t20 @t95)) % 0.40/0.58 (step @p180 :rule trans :premises (@p179 @p178)) % 0.40/0.58 (step @p181 :rule refl :args (@t96)) % 0.40/0.58 (step @p182 :rule nary_cong :premises (@p181 @p180) :args ((or @t96 @t102))) % 0.40/0.58 (step @p183 :rule trans :premises (@p182 @p177)) % 0.40/0.58 (step @p184 :rule bool-impl-elim :args (@t28 @t102)) % 0.40/0.58 (step @p185 :rule trans :premises (@p184 @p183)) % 0.40/0.58 (step @p186 :rule cong :premises (@p185) :args ((forall @t4 (=> @t28 @t102)))) % 0.40/0.58 (step @p187 :rule trans :premises (@p186 @p176)) % 0.40/0.58 (step @p188 :rule eq-symm :args (@t18 @t1)) % 0.40/0.58 (step @p189 :rule nary_cong :premises (@p115 @p188) :args (@t21)) % 0.40/0.58 (step @p190 :rule eq-symm :args (@t18 @t9)) % 0.40/0.58 (step @p191 :rule nary_cong :premises (@p122 @p190) :args (@t22)) % 0.40/0.58 (step @p192 :rule nary_cong :premises (@p191 @p189) :args (@t23)) % 0.40/0.58 (step @p193 :rule cong :premises (@p192) :args (@t25)) % 0.40/0.58 (step @p194 :rule refl :args (@t7)) % 0.40/0.58 (step @p195 :rule ho_cong :premises (@p194 @p193)) % 0.40/0.58 (step @p196 :rule refl :args (@t26)) % 0.40/0.58 (step @p197 :rule ho_cong :premises (@p196 @p195)) % 0.40/0.58 (step @p198 :rule cong :premises (@p115 @p197) :args (@t27)) % 0.40/0.58 (step @p199 :rule refl :args (@t28)) % 0.40/0.58 (step @p200 :rule cong :premises (@p199 @p198) :args (@t29)) % 0.40/0.58 (step @p201 :rule cong :premises (@p200) :args (@t30)) % 0.40/0.58 (step @p202 :rule trans :premises (@p201 @p187)) % 0.40/0.58 (step @p203 :rule refl :args (@t14)) % 0.40/0.58 (step @p204 :rule cong :premises (@p203 @p202) :args (@t31)) % 0.40/0.58 (step @p205 :rule cong :premises (@p204) :args (@t33)) % 0.40/0.58 (step @p206 :rule trans :premises (@p205 @p145)) % 0.40/0.58 (step @p207 :rule cong :premises (@p69 @p206) :args (@t34)) % 0.40/0.58 (step @p208 :rule cong :premises (@p207) :args (@t35)) % 0.40/0.58 (step @p209 :rule trans :premises (@p208 @p73)) % 0.40/0.58 (step @p210 :rule eq_resolve :premises (@p2 @p209)) % 0.40/0.58 (step @p211 :rule not_implies_elim1 :premises (@p210)) % 0.40/0.58 (step @p212 :rule not_implies_elim2 :premises (@p210)) % 0.40/0.58 (step @p213 :rule refl :args (@t112)) % 0.40/0.58 (step @p214 :rule bool-double-not-elim :args (@t42)) % 0.40/0.58 (step @p215 :rule nary_cong :premises (@p214 @p213) :args ((or (not @t113) @t112))) % 0.40/0.58 (step @p216 :rule eq-refl :args (@t104)) % 0.40/0.58 (step @p217 :rule skolem_intro :args (@t105)) % 0.40/0.58 (step @p218 :rule refl :args (@t104)) % 0.40/0.58 (step @p219 :rule cong :premises (@p218 @p217) :args ((= @t104 @t105))) % 0.40/0.58 (step @p220 :rule trans :premises (@p219 @p216)) % 0.40/0.58 (step @p221 :rule true_elim :premises (@p220)) % 0.40/0.58 (step @p222 :rule refl :args (@t106)) % 0.40/0.58 (step @p223 :rule cong :premises (@p222 @p221) :args (@t114)) % 0.40/0.58 (step @p224 :rule refl :args (@t103)) % 0.40/0.58 (step @p225 :rule cong :premises (@p224 @p223) :args (@t115)) % 0.40/0.58 (step @p226 :rule refl :args (@t109)) % 0.40/0.58 (step @p227 :rule refl :args (@t110)) % 0.40/0.58 (step @p228 :rule nary_cong :premises (@p227 @p226 @p225) :args (@t116)) % 0.40/0.58 (step @p229 :rule cong :premises (@p228) :args (@t117)) % 0.40/0.58 (step @p230 :rule refl :args (@t113)) % 0.40/0.58 (step @p231 :rule cong :premises (@p230 @p229) :args ((=> @t113 @t117))) % 0.40/0.58 (assume-push @p275 @t113) % 0.40/0.58 (step @p233 :rule skolemize :premises (@p212)) % 0.40/0.58 (step-pop @p276 :rule scope :premises (@p233)) % 0.40/0.58 (step @p234 :rule process_scope :premises (@p276) :args (@t117)) % 0.40/0.58 (step @p236 :rule eq_resolve :premises (@p234 @p231)) % 0.40/0.58 (step @p237 :rule implies_elim :premises (@p236)) % 0.40/0.58 (step @p238 :rule eq_resolve :premises (@p237 @p215)) % 0.40/0.58 (step @p239 :rule chain_m_resolution :premises (@p238 @p212) :args (@t112 @t118 (@list @t42))) % 0.40/0.58 (step @p240 :rule cnf_or_neg :args (@t111 2)) % 0.40/0.58 (step @p241 :rule chain_m_resolution :premises (@p240 @p239) :args ((not @t107) @t118 @t119)) % 0.40/0.58 (step @p242 :rule bool-double-not-elim :args (@t108)) % 0.40/0.58 (step @p243 :rule refl :args (@t111)) % 0.40/0.58 (step @p244 :rule nary_cong :premises (@p243 @p242) :args ((or @t111 (not @t109)))) % 0.40/0.58 (step @p245 :rule cnf_or_neg :args (@t111 1)) % 0.40/0.58 (step @p246 :rule eq_resolve :premises (@p245 @p244)) % 0.40/0.58 (step @p247 :rule reordering :premises (@p246) :args ((or @t108 @t111))) % 0.40/0.58 (step @p248 :rule chain_m_resolution :premises (@p247 @p239) :args (@t108 @t118 @t119)) % 0.40/0.58 (step @p249 :rule cnf_or_pos :args (@t120)) % 0.40/0.58 (step @p250 :rule reordering :premises (@p249) :args ((or @t109 @t107 @t121))) % 0.40/0.58 (step @p251 :rule chain_m_resolution :premises (@p250 @p248 @p241) :args (@t121 (@list false true) (@list @t108 @t107))) % 0.40/0.58 (step @p252 :rule aci_norm :args ((= (or @t109 false @t107) @t120))) % 0.40/0.58 (step @p253 :rule refl :args (@t107)) % 0.40/0.58 (step @p254 :rule evaluate :args ((not true))) % 0.40/0.58 (step @p255 :rule eq-refl :args (@t103)) % 0.40/0.58 (step @p256 :rule beta-reduce :args ((= (_ @t104 @t103) (= @t103 @t103)))) % 0.40/0.58 (step @p257 :rule trans :premises (@p256 @p255)) % 0.40/0.58 (step @p258 :rule ho_cong :premises (@p217 @p224)) % 0.40/0.58 (step @p259 :rule bool-eq-true :args (@t122)) % 0.40/0.58 (step @p260 :rule trans :premises (@p259 @p258 @p257)) % 0.40/0.58 (step @p261 :rule true_elim :premises (@p260)) % 0.40/0.58 (step @p262 :rule cong :premises (@p261) :args (@t123)) % 0.40/0.58 (step @p263 :rule trans :premises (@p262 @p254)) % 0.40/0.58 (step @p264 :rule nary_cong :premises (@p226 @p263 @p253) :args (@t124)) % 0.40/0.58 (step @p265 :rule trans :premises (@p264 @p252)) % 0.40/0.58 (step @p266 :rule refl :args (@t125)) % 0.40/0.58 (step @p267 :rule cong :premises (@p266 @p265) :args ((=> @t125 @t124))) % 0.40/0.58 (assume-push @p277 @t125) % 0.40/0.58 (step @p269 :rule instantiate :premises (@p211) :args ((@list @t106 @t105 @t103))) % 0.40/0.58 (step-pop @p278 :rule scope :premises (@p269)) % 0.40/0.58 (step @p270 :rule process_scope :premises (@p278) :args (@t124)) % 0.40/0.58 (step @p272 :rule eq_resolve :premises (@p270 @p267)) % 0.40/0.58 (step @p273 :rule implies_elim :premises (@p272)) % 0.40/0.58 (step @p274 false :rule chain_m_resolution :premises (@p273 @p251 @p211) :args (false (@list true false) (@list @t120 @t125))) % 0.40/0.58 ) % 0.40/0.58 % SZS output end Proof % 0.40/0.58 % cvc5 exiting %------------------------------------------------------------------------------