%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV100^5 : 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 : 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 08:55:27 AM UTC 2026 % Result : Theorem 0.93s 1.13s % Output : Proof 0.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEV100^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n024.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 13:12:45 EDT 2026 % 0.06/0.25 % CPUTime : % 0.16/0.33 %----Proving TH0 % 0.93/1.13 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.93/1.13 % SZS status Theorem % 0.93/1.13 % SZS output start Proof % 0.93/1.13 ( % 0.93/1.13 (declare-sort $$unsorted 0) % 0.93/1.13 (declare-const tptp.p Bool) % 0.93/1.13 (define @t1 () (@var "Xw_2" $$unsorted)) % 0.93/1.13 (define @t2 () (not tptp.p)) % 0.93/1.13 (define @t3 () (and tptp.p @t2)) % 0.93/1.13 (define @t4 () (@list (@var "Xx" $$unsorted))) % 0.93/1.13 (define @t5 () (lambda @t4 @t3)) % 0.93/1.13 (define @t6 () (or tptp.p @t2)) % 0.93/1.13 (define @t7 () (lambda @t4 @t6)) % 0.93/1.13 (define @t8 () (@var "Xr_28" (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool))) % 0.93/1.13 (define @t9 () (_ (_ (_ @t8 @t7) @t5) @t1)) % 0.93/1.13 (define @t10 () (@var "Xr_27" (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool))) % 0.93/1.13 (define @t11 () (_ (_ (_ @t10 @t7) @t5) @t1)) % 0.93/1.13 (define @t12 () (or @t11 @t9)) % 0.93/1.13 (define @t13 () (@list @t1)) % 0.93/1.13 (define @t14 () (forall @t13 @t12)) % 0.93/1.13 (define @t15 () (not @t14)) % 0.93/1.13 (define @t16 () (@var "Xx" (-> $$unsorted Bool))) % 0.93/1.13 (define @t17 () (_ @t8 @t16)) % 0.93/1.13 (define @t18 () (_ (_ @t17 @t16) @t1)) % 0.93/1.13 (define @t19 () (_ @t10 @t16)) % 0.93/1.13 (define @t20 () (_ (_ @t19 @t16) @t1)) % 0.93/1.13 (define @t21 () (or @t20 @t18)) % 0.93/1.13 (define @t22 () (@list @t16 @t1)) % 0.93/1.13 (define @t23 () (forall @t22 @t21)) % 0.93/1.13 (define @t24 () (@var "Xz" (-> $$unsorted Bool))) % 0.93/1.13 (define @t25 () (_ (_ @t17 @t24) @t1)) % 0.93/1.13 (define @t26 () (_ (_ @t19 @t24) @t1)) % 0.93/1.13 (define @t27 () (or @t26 @t25)) % 0.93/1.13 (define @t28 () (forall @t13 @t27)) % 0.93/1.13 (define @t29 () (@var "Xy" (-> $$unsorted Bool))) % 0.93/1.13 (define @t30 () (_ (_ (_ @t8 @t29) @t24) @t1)) % 0.93/1.13 (define @t31 () (_ (_ (_ @t10 @t29) @t24) @t1)) % 0.93/1.13 (define @t32 () (or @t31 @t30)) % 0.93/1.13 (define @t33 () (forall @t13 @t32)) % 0.93/1.13 (define @t34 () (_ (_ @t17 @t29) @t1)) % 0.93/1.13 (define @t35 () (_ (_ @t19 @t29) @t1)) % 0.93/1.13 (define @t36 () (or @t35 @t34)) % 0.93/1.13 (define @t37 () (forall @t13 @t36)) % 0.93/1.13 (define @t38 () (and @t37 @t33)) % 0.93/1.13 (define @t39 () (=> @t38 @t28)) % 0.93/1.13 (define @t40 () (@list @t16 @t29 @t24)) % 0.93/1.13 (define @t41 () (forall @t40 @t39)) % 0.93/1.13 (define @t42 () (and @t41 @t23 @t15)) % 0.93/1.13 (define @t43 () (@list @t8 @t10)) % 0.93/1.13 (define @t44 () (exists @t43 @t42)) % 0.93/1.13 (define @t45 () (not @t44)) % 0.93/1.13 (define @t46 () (@var "BOUND_VARIABLE_7519" $$unsorted)) % 0.93/1.13 (define @t47 () (_ @t8 @t7 @t5 @t46)) % 0.93/1.13 (define @t48 () (_ @t10 @t7 @t5 @t46)) % 0.93/1.13 (define @t49 () (_ @t8 @t16 @t16 @t1)) % 0.93/1.13 (define @t50 () (_ @t10 @t16 @t16 @t1)) % 0.93/1.13 (define @t51 () (forall @t22 (or @t50 @t49))) % 0.93/1.13 (define @t52 () (not @t51)) % 0.93/1.13 (define @t53 () (@var "BOUND_VARIABLE_7491" $$unsorted)) % 0.93/1.13 (define @t54 () (_ @t8 @t16 @t24 @t53)) % 0.93/1.13 (define @t55 () (_ @t10 @t16 @t24 @t53)) % 0.93/1.13 (define @t56 () (_ @t8 @t29 @t24 @t1)) % 0.93/1.13 (define @t57 () (_ @t10 @t29 @t24 @t1)) % 0.93/1.13 (define @t58 () (forall @t13 (or @t57 @t56))) % 0.93/1.13 (define @t59 () (not @t58)) % 0.93/1.13 (define @t60 () (_ @t8 @t16 @t29 @t1)) % 0.93/1.13 (define @t61 () (_ @t10 @t16 @t29 @t1)) % 0.93/1.13 (define @t62 () (forall @t13 (or @t61 @t60))) % 0.93/1.13 (define @t63 () (not @t62)) % 0.93/1.13 (define @t64 () (or @t63 @t59 @t55 @t54)) % 0.93/1.13 (define @t65 () (@list @t16 @t29 @t24 @t53)) % 0.93/1.13 (define @t66 () (forall @t65 @t64)) % 0.93/1.13 (define @t67 () (not @t66)) % 0.93/1.13 (define @t68 () (or @t67 @t52 @t48 @t47)) % 0.93/1.13 (define @t69 () (@list @t8 @t10 @t46)) % 0.93/1.13 (define @t70 () (forall @t69 @t68)) % 0.93/1.13 (define @t71 () (or @t48 @t47)) % 0.93/1.13 (define @t72 () (or @t67 @t52 @t71)) % 0.93/1.13 (define @t73 () (forall @t69 @t72)) % 0.93/1.13 (define @t74 () (@list @t46)) % 0.93/1.13 (define @t75 () (forall @t74 @t72)) % 0.93/1.13 (define @t76 () (forall @t74 @t71)) % 0.93/1.13 (define @t77 () (@list @t1)) % 0.93/1.13 (define @t78 () (or @t67 @t52 @t76)) % 0.93/1.13 (define @t79 () (_ @t8 @t7 @t5 @t1)) % 0.93/1.13 (define @t80 () (_ @t10 @t7 @t5 @t1)) % 0.93/1.13 (define @t81 () (forall @t13 (or @t80 @t79))) % 0.93/1.13 (define @t82 () (not @t81)) % 0.93/1.13 (define @t83 () (not @t82)) % 0.93/1.13 (define @t84 () (or @t67 @t52 @t83)) % 0.93/1.13 (define @t85 () (and @t66 @t51 @t82)) % 0.93/1.13 (define @t86 () (forall @t43 (not @t85))) % 0.93/1.13 (define @t87 () (not @t86)) % 0.93/1.13 (define @t88 () (or @t55 @t54)) % 0.93/1.13 (define @t89 () (or @t63 @t59 @t88)) % 0.93/1.13 (define @t90 () (forall @t65 @t89)) % 0.93/1.13 (define @t91 () (@list @t53)) % 0.93/1.13 (define @t92 () (forall @t91 @t89)) % 0.93/1.13 (define @t93 () (forall @t91 @t88)) % 0.93/1.13 (define @t94 () (or @t63 @t59 @t93)) % 0.93/1.13 (define @t95 () (_ @t8 @t16 @t24 @t1)) % 0.93/1.13 (define @t96 () (_ @t10 @t16 @t24 @t1)) % 0.93/1.13 (define @t97 () (forall @t13 (or @t96 @t95))) % 0.93/1.13 (define @t98 () (or @t63 @t59 @t97)) % 0.93/1.13 (define @t99 () (and @t62 @t58)) % 0.93/1.13 (define @t100 () (@purify @t7)) % 0.93/1.13 (define @t101 () (@purify @t5)) % 0.93/1.13 (define @t102 () (= @t101 @t100)) % 0.93/1.13 (define @t103 () (= true false)) % 0.93/1.13 (define @t104 () (= @t6 @t3)) % 0.93/1.13 (define @t105 () (forall @t4 (= @t3 @t6))) % 0.93/1.13 (define @t106 () (=> @t102 @t105)) % 0.93/1.13 (define @t107 () (= @t7 @t5)) % 0.93/1.13 (define @t108 () (@purify (as @$$unsorted_0 $$unsorted))) % 0.93/1.13 (define @t109 () (@var "BOUND_VARIABLE_38603" (-> $$unsorted Bool))) % 0.93/1.13 (define @t110 () (@var "BOUND_VARIABLE_38602" (-> $$unsorted Bool))) % 0.93/1.13 (define @t111 () (lambda (@list @t110 @t109 (@var "BOUND_VARIABLE_38604" $$unsorted)) (= @t110 @t109))) % 0.93/1.13 (define @t112 () (_ @t111 @t7 @t5 @t108)) % 0.93/1.13 (define @t113 () (lambda (@list (@var "BOUND_VARIABLE_38826" (-> $$unsorted Bool)) (@var "BOUND_VARIABLE_38827" (-> $$unsorted Bool)) (@var "BOUND_VARIABLE_38828" $$unsorted)) false)) % 0.93/1.13 (define @t114 () (_ @t113 @t7 @t5 @t108)) % 0.93/1.13 (define @t115 () (_ @t111 @t16 @t16 @t1)) % 0.93/1.13 (define @t116 () (_ @t113 @t16 @t16 @t1)) % 0.93/1.13 (define @t117 () (or @t116 @t115)) % 0.93/1.13 (define @t118 () (forall @t22 @t117)) % 0.93/1.13 (define @t119 () (not @t118)) % 0.93/1.13 (define @t120 () (@list @t29 @t24)) % 0.93/1.13 (define @t121 () (= @t29 @t24)) % 0.93/1.13 (define @t122 () (not @t121)) % 0.93/1.13 (define @t123 () (or @t122 @t121)) % 0.93/1.13 (define @t124 () (not (= @t29 @t29))) % 0.93/1.13 (define @t125 () (or @t124 @t122 @t121)) % 0.93/1.13 (define @t126 () (= @t16 @t24)) % 0.93/1.13 (define @t127 () (= @t16 @t29)) % 0.93/1.13 (define @t128 () (not @t127)) % 0.93/1.13 (define @t129 () (or @t128 @t128 @t122 @t126)) % 0.93/1.13 (define @t130 () (@list @t16)) % 0.93/1.13 (define @t131 () (or @t128 @t122 @t126)) % 0.93/1.13 (define @t132 () (forall @t130 @t131)) % 0.93/1.13 (define @t133 () (forall @t120 @t132)) % 0.93/1.13 (define @t134 () (forall (@list @t29 @t24 @t16) @t131)) % 0.93/1.13 (define @t135 () (forall @t40 @t131)) % 0.93/1.13 (define @t136 () (_ @t111 @t16 @t24 @t53)) % 0.93/1.13 (define @t137 () (_ @t113 @t16 @t24 @t53)) % 0.93/1.13 (define @t138 () (_ @t111 @t29 @t24 @t1)) % 0.93/1.13 (define @t139 () (_ @t113 @t29 @t24 @t1)) % 0.93/1.13 (define @t140 () (or @t139 @t138)) % 0.93/1.13 (define @t141 () (forall @t13 @t140)) % 0.93/1.13 (define @t142 () (not @t141)) % 0.93/1.13 (define @t143 () (_ @t111 @t16 @t29 @t1)) % 0.93/1.13 (define @t144 () (_ @t113 @t16 @t29 @t1)) % 0.93/1.13 (define @t145 () (or @t144 @t143)) % 0.93/1.13 (define @t146 () (forall @t13 @t145)) % 0.93/1.13 (define @t147 () (not @t146)) % 0.93/1.13 (define @t148 () (or @t147 @t142 @t137 @t136)) % 0.93/1.13 (define @t149 () (forall @t65 @t148)) % 0.93/1.13 (define @t150 () (not @t149)) % 0.93/1.13 (define @t151 () (or @t150 @t119 @t114 @t112)) % 0.93/1.13 (assume @p1 @t45) % 0.93/1.13 (assume @p2 true) % 0.93/1.13 (step @p3 :rule bool-double-not-elim :args (@t70)) % 0.93/1.13 (step @p4 :rule aci_norm :args ((= @t72 @t68))) % 0.93/1.13 (step @p5 :rule cong :premises (@p4) :args (@t73)) % 0.93/1.13 (step @p6 :rule quant-merge-prenex :args ((= (forall @t43 @t75) @t73))) % 0.93/1.13 (step @p7 :rule alpha_equiv :args (@t76 (@list @t46) @t77)) % 0.93/1.13 (step @p8 :rule refl :args (@t52)) % 0.93/1.13 (step @p9 :rule refl :args (@t67)) % 0.93/1.13 (step @p10 :rule nary_cong :premises (@p9 @p8 @p7) :args (@t78)) % 0.93/1.13 (step @p11 :rule quant-miniscope-or :args ((= @t75 @t78))) % 0.93/1.13 (step @p12 :rule trans :premises (@p11 @p10)) % 0.93/1.13 (step @p13 :rule symm :premises (@p12)) % 0.93/1.13 (step @p14 :rule cong :premises (@p13) :args ((forall @t43 (or @t67 @t52 @t81)))) % 0.93/1.13 (step @p15 :rule trans :premises (@p14 @p6)) % 0.93/1.13 (step @p16 :rule trans :premises (@p15 @p5)) % 0.93/1.13 (step @p17 :rule bool-double-not-elim :args (@t81)) % 0.93/1.13 (step @p18 :rule nary_cong :premises (@p9 @p8 @p17) :args (@t84)) % 0.93/1.13 (step @p19 :rule aci_norm :args ((= (or @t67 (or @t52 @t83)) @t84))) % 0.93/1.13 (step @p20 :rule trans :premises (@p19 @p18)) % 0.93/1.13 (step @p21 :rule bool-and-de-morgan :args (@t51 @t82 true)) % 0.93/1.13 (step @p22 :rule nary_cong :premises (@p9 @p21) :args ((or @t67 (not (and @t51 @t82))))) % 0.93/1.13 (step @p23 :rule bool-and-de-morgan :args (@t66 @t51 (and @t82))) % 0.93/1.13 (step @p24 :rule trans :premises (@p23 @p22)) % 0.93/1.13 (step @p25 :rule trans :premises (@p24 @p20)) % 0.93/1.13 (step @p26 :rule cong :premises (@p25) :args (@t86)) % 0.93/1.13 (step @p27 :rule trans :premises (@p26 @p16)) % 0.93/1.13 (step @p28 :rule cong :premises (@p27) :args (@t87)) % 0.93/1.13 (step @p29 :rule exists-elim :args ((= (exists @t43 @t85) @t87))) % 0.93/1.13 (step @p30 :rule trans :premises (@p29 @p28)) % 0.93/1.13 (step @p31 :rule refl :args (@t79)) % 0.93/1.13 (step @p32 :rule refl :args (@t9)) % 0.93/1.13 (step @p33 :rule cong :premises (@p32 @p31) :args ((= @t9 @t79))) % 0.93/1.13 (step @p34 :rule symm :premises (@p33)) % 0.93/1.13 (step @p35 :rule eq_resolve :premises (@p32 @p34)) % 0.93/1.13 (step @p36 :rule refl :args (@t80)) % 0.93/1.13 (step @p37 :rule refl :args (@t11)) % 0.93/1.13 (step @p38 :rule cong :premises (@p37 @p36) :args ((= @t11 @t80))) % 0.93/1.13 (step @p39 :rule symm :premises (@p38)) % 0.93/1.13 (step @p40 :rule eq_resolve :premises (@p37 @p39)) % 0.93/1.13 (step @p41 :rule nary_cong :premises (@p40 @p35) :args (@t12)) % 0.93/1.13 (step @p42 :rule cong :premises (@p41) :args (@t14)) % 0.93/1.13 (step @p43 :rule cong :premises (@p42) :args (@t15)) % 0.93/1.13 (step @p44 :rule refl :args (@t49)) % 0.93/1.13 (step @p45 :rule refl :args (@t18)) % 0.93/1.13 (step @p46 :rule cong :premises (@p45 @p44) :args ((= @t18 @t49))) % 0.93/1.13 (step @p47 :rule symm :premises (@p46)) % 0.93/1.13 (step @p48 :rule eq_resolve :premises (@p45 @p47)) % 0.93/1.13 (step @p49 :rule refl :args (@t50)) % 0.93/1.13 (step @p50 :rule refl :args (@t20)) % 0.93/1.13 (step @p51 :rule cong :premises (@p50 @p49) :args ((= @t20 @t50))) % 0.93/1.13 (step @p52 :rule symm :premises (@p51)) % 0.93/1.13 (step @p53 :rule eq_resolve :premises (@p50 @p52)) % 0.93/1.13 (step @p54 :rule nary_cong :premises (@p53 @p48) :args (@t21)) % 0.93/1.13 (step @p55 :rule cong :premises (@p54) :args (@t23)) % 0.93/1.13 (step @p56 :rule aci_norm :args ((= @t89 @t64))) % 0.93/1.13 (step @p57 :rule cong :premises (@p56) :args (@t90)) % 0.93/1.13 (step @p58 :rule quant-merge-prenex :args ((= (forall @t40 @t92) @t90))) % 0.93/1.13 (step @p59 :rule alpha_equiv :args (@t93 (@list @t53) @t77)) % 0.93/1.13 (step @p60 :rule refl :args (@t59)) % 0.93/1.13 (step @p61 :rule refl :args (@t63)) % 0.93/1.13 (step @p62 :rule nary_cong :premises (@p61 @p60 @p59) :args (@t94)) % 0.93/1.13 (step @p63 :rule quant-miniscope-or :args ((= @t92 @t94))) % 0.93/1.13 (step @p64 :rule trans :premises (@p63 @p62)) % 0.93/1.13 (step @p65 :rule symm :premises (@p64)) % 0.93/1.13 (step @p66 :rule cong :premises (@p65) :args ((forall @t40 @t98))) % 0.93/1.13 (step @p67 :rule trans :premises (@p66 @p58)) % 0.93/1.13 (step @p68 :rule trans :premises (@p67 @p57)) % 0.93/1.13 (step @p69 :rule aci_norm :args ((= (or (or @t63 @t59) @t97) @t98))) % 0.93/1.13 (step @p70 :rule refl :args (@t97)) % 0.93/1.13 (step @p71 :rule bool-and-de-morgan :args (@t62 @t58 true)) % 0.93/1.13 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or (not @t99) @t97))) % 0.93/1.13 (step @p73 :rule trans :premises (@p72 @p69)) % 0.93/1.13 (step @p74 :rule bool-impl-elim :args (@t99 @t97)) % 0.93/1.13 (step @p75 :rule trans :premises (@p74 @p73)) % 0.93/1.13 (step @p76 :rule cong :premises (@p75) :args ((forall @t40 (=> @t99 @t97)))) % 0.93/1.13 (step @p77 :rule trans :premises (@p76 @p68)) % 0.93/1.13 (step @p78 :rule refl :args (@t95)) % 0.93/1.13 (step @p79 :rule refl :args (@t25)) % 0.93/1.13 (step @p80 :rule cong :premises (@p79 @p78) :args ((= @t25 @t95))) % 0.93/1.13 (step @p81 :rule symm :premises (@p80)) % 0.93/1.13 (step @p82 :rule eq_resolve :premises (@p79 @p81)) % 0.93/1.13 (step @p83 :rule refl :args (@t96)) % 0.93/1.13 (step @p84 :rule refl :args (@t26)) % 0.93/1.13 (step @p85 :rule cong :premises (@p84 @p83) :args ((= @t26 @t96))) % 0.93/1.13 (step @p86 :rule symm :premises (@p85)) % 0.93/1.13 (step @p87 :rule eq_resolve :premises (@p84 @p86)) % 0.93/1.13 (step @p88 :rule nary_cong :premises (@p87 @p82) :args (@t27)) % 0.93/1.13 (step @p89 :rule cong :premises (@p88) :args (@t28)) % 0.93/1.13 (step @p90 :rule refl :args (@t56)) % 0.93/1.13 (step @p91 :rule refl :args (@t30)) % 0.93/1.13 (step @p92 :rule cong :premises (@p91 @p90) :args ((= @t30 @t56))) % 0.93/1.13 (step @p93 :rule symm :premises (@p92)) % 0.93/1.13 (step @p94 :rule eq_resolve :premises (@p91 @p93)) % 0.93/1.13 (step @p95 :rule refl :args (@t57)) % 0.93/1.13 (step @p96 :rule refl :args (@t31)) % 0.93/1.13 (step @p97 :rule cong :premises (@p96 @p95) :args ((= @t31 @t57))) % 0.93/1.13 (step @p98 :rule symm :premises (@p97)) % 0.93/1.13 (step @p99 :rule eq_resolve :premises (@p96 @p98)) % 0.93/1.13 (step @p100 :rule nary_cong :premises (@p99 @p94) :args (@t32)) % 0.93/1.13 (step @p101 :rule cong :premises (@p100) :args (@t33)) % 0.93/1.13 (step @p102 :rule refl :args (@t60)) % 0.93/1.13 (step @p103 :rule refl :args (@t34)) % 0.93/1.13 (step @p104 :rule cong :premises (@p103 @p102) :args ((= @t34 @t60))) % 0.93/1.13 (step @p105 :rule symm :premises (@p104)) % 0.93/1.13 (step @p106 :rule eq_resolve :premises (@p103 @p105)) % 0.93/1.13 (step @p107 :rule refl :args (@t61)) % 0.93/1.13 (step @p108 :rule refl :args (@t35)) % 0.93/1.13 (step @p109 :rule cong :premises (@p108 @p107) :args ((= @t35 @t61))) % 0.93/1.13 (step @p110 :rule symm :premises (@p109)) % 0.93/1.13 (step @p111 :rule eq_resolve :premises (@p108 @p110)) % 0.93/1.13 (step @p112 :rule nary_cong :premises (@p111 @p106) :args (@t36)) % 0.93/1.13 (step @p113 :rule cong :premises (@p112) :args (@t37)) % 0.93/1.13 (step @p114 :rule nary_cong :premises (@p113 @p101) :args (@t38)) % 0.93/1.13 (step @p115 :rule cong :premises (@p114 @p89) :args (@t39)) % 0.93/1.13 (step @p116 :rule cong :premises (@p115) :args (@t41)) % 0.93/1.13 (step @p117 :rule trans :premises (@p116 @p77)) % 0.93/1.13 (step @p118 :rule nary_cong :premises (@p117 @p55 @p43) :args (@t42)) % 0.93/1.13 (step @p119 :rule cong :premises (@p118) :args (@t44)) % 0.93/1.13 (step @p120 :rule trans :premises (@p119 @p30)) % 0.93/1.13 (step @p121 :rule cong :premises (@p120) :args (@t45)) % 0.93/1.13 (step @p122 :rule trans :premises (@p121 @p3)) % 0.93/1.13 (step @p123 :rule eq_resolve :premises (@p1 @p122)) % 0.93/1.13 (step @p124 :rule bool-impl-false1 :args (@t102)) % 0.93/1.13 (step @p125 :rule quant-unused-vars :args ((= (forall @t4 false) false))) % 0.93/1.13 (step @p126 :rule evaluate :args (@t103)) % 0.93/1.13 (step @p127 :rule cong :premises (@p126) :args ((forall @t4 @t103))) % 0.93/1.13 (step @p128 :rule trans :premises (@p127 @p125)) % 0.93/1.13 (step @p129 :rule bool-and-conf :args (true tptp.p true true)) % 0.93/1.13 (step @p130 :rule bool-or-taut :args (false tptp.p false false)) % 0.93/1.13 (step @p131 :rule cong :premises (@p130 @p129) :args (@t104)) % 0.93/1.13 (step @p132 :rule cong :premises (@p131) :args ((forall @t4 @t104))) % 0.93/1.13 (step @p133 :rule trans :premises (@p132 @p128)) % 0.93/1.13 (step @p134 :rule eq-symm :args (@t3 @t6)) % 0.93/1.13 (step @p135 :rule cong :premises (@p134) :args (@t105)) % 0.93/1.13 (step @p136 :rule trans :premises (@p135 @p133)) % 0.93/1.13 (step @p137 :rule refl :args (@t102)) % 0.93/1.13 (step @p138 :rule cong :premises (@p137 @p136) :args (@t106)) % 0.93/1.13 (step @p139 :rule trans :premises (@p138 @p124)) % 0.93/1.13 ; WARNING: add trust step for TRUST % 0.93/1.13 ; trust TRUST THEORY_LEMMA % 0.93/1.13 (step @p140 :rule trust :premises () :args (@t106)) % 0.93/1.13 (step @p141 :rule eq_resolve :premises (@p140 @p139)) % 0.93/1.13 (step @p142 :rule eq-symm :args (@t100 @t101)) % 0.93/1.13 (step @p143 :rule eq-refl :args (@t5)) % 0.93/1.13 (step @p144 :rule skolem_intro :args (@t101)) % 0.93/1.13 (step @p145 :rule refl :args (@t5)) % 0.93/1.13 (step @p146 :rule cong :premises (@p145 @p144) :args ((= @t5 @t101))) % 0.93/1.13 (step @p147 :rule trans :premises (@p146 @p143)) % 0.93/1.13 (step @p148 :rule true_elim :premises (@p147)) % 0.93/1.13 (step @p149 :rule eq-refl :args (@t7)) % 0.93/1.13 (step @p150 :rule skolem_intro :args (@t100)) % 0.93/1.13 (step @p151 :rule refl :args (@t7)) % 0.93/1.13 (step @p152 :rule cong :premises (@p151 @p150) :args ((= @t7 @t100))) % 0.93/1.13 (step @p153 :rule trans :premises (@p152 @p149)) % 0.93/1.13 (step @p154 :rule true_elim :premises (@p153)) % 0.93/1.13 (step @p155 :rule cong :premises (@p154 @p148) :args (@t107)) % 0.93/1.13 (step @p156 :rule trans :premises (@p155 @p142)) % 0.93/1.13 (step @p157 :rule refl :args (@t70)) % 0.93/1.13 (step @p158 :rule cong :premises (@p157 @p156) :args ((=> @t70 @t107))) % 0.93/1.13 (step @p159 :rule aci_norm :args ((= (or false false false @t107) @t107))) % 0.93/1.13 (step @p160 :rule beta-reduce :args ((= @t112 @t107))) % 0.93/1.13 (step @p161 :rule beta-reduce :args ((= @t114 false))) % 0.93/1.13 (step @p162 :rule evaluate :args ((not true))) % 0.93/1.13 (step @p163 :rule quant-unused-vars :args ((= (forall @t22 true) true))) % 0.93/1.13 (step @p164 :rule evaluate :args ((or false true))) % 0.93/1.13 (step @p165 :rule eq-refl :args (@t16)) % 0.93/1.13 (step @p166 :rule beta-reduce :args ((= @t115 (= @t16 @t16)))) % 0.93/1.13 (step @p167 :rule trans :premises (@p166 @p165)) % 0.93/1.13 (step @p168 :rule beta-reduce :args ((= @t116 false))) % 0.93/1.13 (step @p169 :rule nary_cong :premises (@p168 @p167) :args (@t117)) % 0.93/1.13 (step @p170 :rule trans :premises (@p169 @p164)) % 0.93/1.13 (step @p171 :rule cong :premises (@p170) :args (@t118)) % 0.93/1.13 (step @p172 :rule trans :premises (@p171 @p163)) % 0.93/1.13 (step @p173 :rule cong :premises (@p172) :args (@t119)) % 0.93/1.13 (step @p174 :rule trans :premises (@p173 @p162)) % 0.93/1.13 (step @p175 :rule quant-unused-vars :args ((= (forall @t120 true) true))) % 0.93/1.13 (step @p176 :rule bool-or-taut2 :args (false @t121 false false)) % 0.93/1.13 (step @p177 :rule cong :premises (@p176) :args ((forall @t120 @t123))) % 0.93/1.13 (step @p178 :rule trans :premises (@p177 @p175)) % 0.93/1.13 (step @p179 :rule aci_norm :args ((= (or false @t122 @t121) @t123))) % 0.93/1.13 (step @p180 :rule refl :args (@t121)) % 0.93/1.13 (step @p181 :rule refl :args (@t122)) % 0.93/1.13 (step @p182 :rule eq-refl :args (@t29)) % 0.93/1.13 (step @p183 :rule cong :premises (@p182) :args (@t124)) % 0.93/1.13 (step @p184 :rule trans :premises (@p183 @p162)) % 0.93/1.13 (step @p185 :rule nary_cong :premises (@p184 @p181 @p180) :args (@t125)) % 0.93/1.13 (step @p186 :rule trans :premises (@p185 @p179)) % 0.93/1.13 (step @p187 :rule cong :premises (@p186) :args ((forall @t120 @t125))) % 0.93/1.13 (step @p188 :rule trans :premises (@p187 @p178)) % 0.93/1.13 (step @p189 :rule quant-var-elim-eq :args ((= (forall @t130 @t129) @t125))) % 0.93/1.13 (step @p190 :rule aci_norm :args ((= @t131 @t129))) % 0.93/1.13 (step @p191 :rule cong :premises (@p190) :args (@t132)) % 0.93/1.13 (step @p192 :rule trans :premises (@p191 @p189)) % 0.93/1.13 (step @p193 :rule cong :premises (@p192) :args (@t133)) % 0.93/1.13 (step @p194 :rule quant-merge-prenex :args ((= @t133 @t134))) % 0.93/1.13 (step @p195 :rule symm :premises (@p194)) % 0.93/1.13 (step @p196 :rule quant_var_reordering :args ((= @t135 @t134))) % 0.93/1.13 (step @p197 :rule trans :premises (@p196 @p195 @p193)) % 0.93/1.13 (step @p198 :rule trans :premises (@p197 @p188)) % 0.93/1.13 (step @p199 :rule quant-unused-vars :args ((= (forall @t65 @t131) @t135))) % 0.93/1.13 (step @p200 :rule trans :premises (@p199 @p198)) % 0.93/1.13 (step @p201 :rule aci_norm :args ((= (or @t128 @t122 false @t126) @t131))) % 0.93/1.13 (step @p202 :rule beta-reduce :args ((= @t136 @t126))) % 0.93/1.13 (step @p203 :rule beta-reduce :args ((= @t137 false))) % 0.93/1.13 (step @p204 :rule quant-unused-vars :args ((= (forall @t13 @t121) @t121))) % 0.93/1.13 (step @p205 :rule aci_norm :args ((= (or false @t121) @t121))) % 0.93/1.13 (step @p206 :rule beta-reduce :args ((= @t138 @t121))) % 0.93/1.13 (step @p207 :rule beta-reduce :args ((= @t139 false))) % 0.93/1.13 (step @p208 :rule nary_cong :premises (@p207 @p206) :args (@t140)) % 0.93/1.13 (step @p209 :rule trans :premises (@p208 @p205)) % 0.93/1.13 (step @p210 :rule cong :premises (@p209) :args (@t141)) % 0.93/1.13 (step @p211 :rule trans :premises (@p210 @p204)) % 0.93/1.13 (step @p212 :rule cong :premises (@p211) :args (@t142)) % 0.93/1.13 (step @p213 :rule quant-unused-vars :args ((= (forall @t13 @t127) @t127))) % 0.93/1.13 (step @p214 :rule aci_norm :args ((= (or false @t127) @t127))) % 0.93/1.13 (step @p215 :rule beta-reduce :args ((= @t143 @t127))) % 0.93/1.13 (step @p216 :rule beta-reduce :args ((= @t144 false))) % 0.93/1.13 (step @p217 :rule nary_cong :premises (@p216 @p215) :args (@t145)) % 0.93/1.13 (step @p218 :rule trans :premises (@p217 @p214)) % 0.93/1.13 (step @p219 :rule cong :premises (@p218) :args (@t146)) % 0.93/1.13 (step @p220 :rule trans :premises (@p219 @p213)) % 0.93/1.13 (step @p221 :rule cong :premises (@p220) :args (@t147)) % 0.93/1.13 (step @p222 :rule nary_cong :premises (@p221 @p212 @p203 @p202) :args (@t148)) % 0.93/1.13 (step @p223 :rule trans :premises (@p222 @p201)) % 0.93/1.13 (step @p224 :rule cong :premises (@p223) :args (@t149)) % 0.93/1.13 (step @p225 :rule trans :premises (@p224 @p200)) % 0.93/1.13 (step @p226 :rule cong :premises (@p225) :args (@t150)) % 0.93/1.13 (step @p227 :rule trans :premises (@p226 @p162)) % 0.93/1.13 (step @p228 :rule nary_cong :premises (@p227 @p174 @p161 @p160) :args (@t151)) % 0.93/1.13 (step @p229 :rule trans :premises (@p228 @p159)) % 0.93/1.13 (step @p230 :rule cong :premises (@p157 @p229) :args ((=> @t70 @t151))) % 0.93/1.13 (assume-push @p239 @t70) % 0.93/1.13 (step @p232 :rule instantiate :premises (@p123) :args ((@list @t111 @t113 @t108))) % 0.93/1.13 (step-pop @p240 :rule scope :premises (@p232)) % 0.93/1.13 (step @p233 :rule process_scope :premises (@p240) :args (@t151)) % 0.93/1.13 (step @p235 :rule eq_resolve :premises (@p233 @p230)) % 0.93/1.13 (step @p236 :rule eq_resolve :premises (@p235 @p158)) % 0.93/1.13 (step @p237 :rule implies_elim :premises (@p236)) % 0.93/1.13 (step @p238 false :rule chain_m_resolution :premises (@p237 @p141 @p123) :args (false (@list true false) (@list @t102 @t70))) % 0.93/1.13 ) % 0.93/1.13 % SZS output end Proof % 0.93/1.13 % cvc5 exiting %------------------------------------------------------------------------------