%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO324^5 : 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 : n012.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 09:12:26 AM UTC 2026 % Result : Theorem 0.36s 0.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYO324^5 : 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 % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Wed Jun 3 00:03:18 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TH0 % 0.36/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.57 % SZS status Theorem % 0.36/0.57 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort $$unsorted 0) % 0.36/0.57 (define @t1 () (@var "Xt" (-> $$unsorted Bool))) % 0.36/0.57 (define @t2 () (@var "Xh" (-> (-> $$unsorted Bool) $$unsorted))) % 0.36/0.57 (define @t3 () (_ @t2 @t1)) % 0.36/0.57 (define @t4 () (@var "Xq" (-> $$unsorted Bool))) % 0.36/0.57 (define @t5 () (_ @t4 @t3)) % 0.36/0.57 (define @t6 () (not @t5)) % 0.36/0.57 (define @t7 () (@var "Xt0" (-> $$unsorted Bool))) % 0.36/0.57 (define @t8 () (_ @t2 @t7)) % 0.36/0.57 (define @t9 () (@var "Xq0" (-> $$unsorted Bool))) % 0.36/0.57 (define @t10 () (_ @t9 @t8)) % 0.36/0.57 (define @t11 () (@var "Xz" $$unsorted)) % 0.36/0.57 (define @t12 () (_ @t9 @t11)) % 0.36/0.57 (define @t13 () (not @t12)) % 0.36/0.57 (define @t14 () (or @t13 @t10)) % 0.36/0.57 (define @t15 () (@list @t9)) % 0.36/0.57 (define @t16 () (forall @t15 @t14)) % 0.36/0.57 (define @t17 () (_ @t7 @t8)) % 0.36/0.57 (define @t18 () (not @t17)) % 0.36/0.57 (define @t19 () (and @t18 @t16)) % 0.36/0.57 (define @t20 () (@list @t7)) % 0.36/0.57 (define @t21 () (exists @t20 @t19)) % 0.36/0.57 (define @t22 () (@list @t11)) % 0.36/0.57 (define @t23 () (lambda @t22 @t21)) % 0.36/0.57 (define @t24 () (and (_ @t4 (_ @t2 @t23)) @t6)) % 0.36/0.57 (define @t25 () (@list @t4)) % 0.36/0.57 (define @t26 () (exists @t25 @t24)) % 0.36/0.57 (define @t27 () (_ @t1 @t3)) % 0.36/0.57 (define @t28 () (or @t27 @t26)) % 0.36/0.57 (define @t29 () (@list @t1)) % 0.36/0.57 (define @t30 () (forall @t29 @t28)) % 0.36/0.57 (define @t31 () (@var "Xx" $$unsorted)) % 0.36/0.57 (define @t32 () (_ @t4 @t31)) % 0.36/0.57 (define @t33 () (@var "Xp" (-> $$unsorted Bool))) % 0.36/0.57 (define @t34 () (_ @t33 @t31)) % 0.36/0.57 (define @t35 () (= @t34 @t32)) % 0.36/0.57 (define @t36 () (not @t35)) % 0.36/0.57 (define @t37 () (@list @t31)) % 0.36/0.57 (define @t38 () (exists @t37 @t36)) % 0.36/0.57 (define @t39 () (_ @t2 @t4)) % 0.36/0.57 (define @t40 () (@var "Xq_31" (-> $$unsorted Bool))) % 0.36/0.57 (define @t41 () (_ @t40 @t39)) % 0.36/0.57 (define @t42 () (_ @t2 @t33)) % 0.36/0.57 (define @t43 () (_ @t40 @t42)) % 0.36/0.57 (define @t44 () (not @t43)) % 0.36/0.57 (define @t45 () (or @t44 @t41)) % 0.36/0.57 (define @t46 () (@list @t40)) % 0.36/0.57 (define @t47 () (forall @t46 @t45)) % 0.36/0.57 (define @t48 () (and @t47 @t38)) % 0.36/0.57 (define @t49 () (@list @t33 @t4)) % 0.36/0.57 (define @t50 () (exists @t49 @t48)) % 0.36/0.57 (define @t51 () (or @t50 @t30)) % 0.36/0.57 (define @t52 () (@list @t2)) % 0.36/0.57 (define @t53 () (forall @t52 @t51)) % 0.36/0.57 (define @t54 () (not @t53)) % 0.36/0.57 (define @t55 () (@var "BOUND_VARIABLE_7548" (-> $$unsorted Bool))) % 0.36/0.57 (define @t56 () (_ @t2 @t55)) % 0.36/0.57 (define @t57 () (_ @t2 @t7)) % 0.36/0.57 (define @t58 () (_ @t9 @t57)) % 0.36/0.57 (define @t59 () (_ @t9 @t11)) % 0.36/0.57 (define @t60 () (not @t59)) % 0.36/0.57 (define @t61 () (or @t60 @t58)) % 0.36/0.57 (define @t62 () (forall @t15 @t61)) % 0.36/0.57 (define @t63 () (not @t62)) % 0.36/0.57 (define @t64 () (_ @t7 @t57)) % 0.36/0.57 (define @t65 () (or @t64 @t63)) % 0.36/0.57 (define @t66 () (forall @t20 @t65)) % 0.36/0.57 (define @t67 () (not @t66)) % 0.36/0.57 (define @t68 () (lambda @t22 @t67)) % 0.36/0.57 (define @t69 () (_ @t2 @t68)) % 0.36/0.57 (define @t70 () (_ @t4 @t69)) % 0.36/0.57 (define @t71 () (not @t70)) % 0.36/0.57 (define @t72 () (not (forall @t25 (or @t71 (_ @t4 @t56))))) % 0.36/0.57 (define @t73 () (_ @t55 @t56)) % 0.36/0.57 (define @t74 () (@var "BOUND_VARIABLE_7490" $$unsorted)) % 0.36/0.57 (define @t75 () (= (_ @t33 @t74) (_ @t4 @t74))) % 0.36/0.57 (define @t76 () (_ @t2 @t4)) % 0.36/0.57 (define @t77 () (_ @t40 @t76)) % 0.36/0.57 (define @t78 () (_ @t2 @t33)) % 0.36/0.57 (define @t79 () (_ @t40 @t78)) % 0.36/0.57 (define @t80 () (forall @t46 (or (not @t79) @t77))) % 0.36/0.57 (define @t81 () (not @t80)) % 0.36/0.57 (define @t82 () (or @t81 @t75)) % 0.36/0.57 (define @t83 () (@list @t33 @t4 @t74)) % 0.36/0.57 (define @t84 () (forall @t83 @t82)) % 0.36/0.57 (define @t85 () (not @t84)) % 0.36/0.57 (define @t86 () (or @t85 @t73 @t72)) % 0.36/0.57 (define @t87 () (or @t73 @t72)) % 0.36/0.57 (define @t88 () (or @t85 @t87)) % 0.36/0.57 (define @t89 () (@list @t2 @t55)) % 0.36/0.57 (define @t90 () (forall @t89 @t88)) % 0.36/0.57 (define @t91 () (@list @t55)) % 0.36/0.57 (define @t92 () (forall @t91 @t88)) % 0.36/0.57 (define @t93 () (forall @t91 @t87)) % 0.36/0.57 (define @t94 () (or @t85 @t93)) % 0.36/0.57 (define @t95 () (_ @t2 @t1)) % 0.36/0.57 (define @t96 () (_ @t4 @t95)) % 0.36/0.57 (define @t97 () (not (forall @t25 (or @t71 @t96)))) % 0.36/0.57 (define @t98 () (_ @t1 @t95)) % 0.36/0.57 (define @t99 () (or @t27 @t97)) % 0.36/0.57 (define @t100 () (lambda @t22 (not (forall @t20 (or @t17 (not @t16)))))) % 0.36/0.57 (define @t101 () (_ @t2 @t100)) % 0.36/0.57 (define @t102 () (_ @t2 @t68)) % 0.36/0.57 (define @t103 () (_ @t4 @t102)) % 0.36/0.57 (define @t104 () (not @t103)) % 0.36/0.57 (define @t105 () (or @t104 @t5)) % 0.36/0.57 (define @t106 () (and @t103 @t6)) % 0.36/0.57 (define @t107 () (forall @t25 (not @t106))) % 0.36/0.57 (define @t108 () (not @t107)) % 0.36/0.57 (define @t109 () (or @t17 @t63)) % 0.36/0.57 (define @t110 () (and @t18 @t62)) % 0.36/0.57 (define @t111 () (forall @t20 (not @t110))) % 0.36/0.57 (define @t112 () (not @t111)) % 0.36/0.57 (define @t113 () (@list @t74)) % 0.36/0.57 (define @t114 () (forall @t113 @t82)) % 0.36/0.57 (define @t115 () (forall @t113 @t75)) % 0.36/0.57 (define @t116 () (or @t81 @t115)) % 0.36/0.57 (define @t117 () (_ @t4 @t31)) % 0.36/0.57 (define @t118 () (_ @t33 @t31)) % 0.36/0.57 (define @t119 () (forall @t37 (= @t118 @t117))) % 0.36/0.57 (define @t120 () (not @t119)) % 0.36/0.57 (define @t121 () (and @t80 @t120)) % 0.36/0.57 (define @t122 () (forall @t49 (not @t121))) % 0.36/0.57 (define @t123 () (not @t122)) % 0.36/0.57 (define @t124 () (forall @t37 (not @t36))) % 0.36/0.57 (define @t125 () (not @t124)) % 0.36/0.57 (define @t126 () (forall @t89 @t86)) % 0.36/0.57 (define @t127 () (@quantifiers_skolemize @t126 1)) % 0.36/0.57 (define @t128 () (@quantifiers_skolemize @t126 0)) % 0.36/0.57 (define @t129 () (_ @t128 @t127)) % 0.36/0.57 (define @t130 () (_ @t128 @t7)) % 0.36/0.57 (define @t131 () (_ @t9 @t130)) % 0.36/0.57 (define @t132 () (_ @t7 @t130)) % 0.36/0.57 (define @t133 () (not (forall @t20 (or @t132 (not (forall @t15 (or @t60 @t131))))))) % 0.36/0.57 (define @t134 () (lambda @t22 @t133)) % 0.36/0.57 (define @t135 () (_ @t128 @t134)) % 0.36/0.57 (define @t136 () (forall @t25 (or (not (_ @t4 @t135)) (_ @t4 @t129)))) % 0.36/0.57 (define @t137 () (not @t136)) % 0.36/0.57 (define @t138 () (_ @t127 @t129)) % 0.36/0.57 (define @t139 () (forall @t83 (or (not (forall @t46 (or (not (_ @t40 (_ @t128 @t33))) (_ @t40 (_ @t128 @t4))))) @t75))) % 0.36/0.57 (define @t140 () (not @t139)) % 0.36/0.57 (define @t141 () (or @t140 @t138 @t137)) % 0.36/0.57 (define @t142 () (@list true)) % 0.36/0.57 (define @t143 () (@list @t141)) % 0.36/0.57 (define @t144 () (@purify @t134)) % 0.36/0.57 (define @t145 () (_ @t144 @t129)) % 0.36/0.57 (define @t146 () (_ @t128 @t144)) % 0.36/0.57 (define @t147 () (forall @t46 (or (not (_ @t40 @t146)) (_ @t40 @t129)))) % 0.36/0.57 (define @t148 () (not @t147)) % 0.36/0.57 (define @t149 () (or @t148 (= @t145 @t138))) % 0.36/0.57 (define @t150 () (= @t138 @t145)) % 0.36/0.57 (define @t151 () (or @t148 @t150)) % 0.36/0.57 (define @t152 () (_ @t144 @t11)) % 0.36/0.57 (define @t153 () (_ @t134 @t11)) % 0.36/0.57 (define @t154 () (= @t152 @t153)) % 0.36/0.57 (define @t155 () (forall @t22 @t154)) % 0.36/0.57 (define @t156 () (_ @t9 @t129)) % 0.36/0.57 (define @t157 () (not @t156)) % 0.36/0.57 (define @t158 () (forall @t15 (or @t157 @t156))) % 0.36/0.57 (define @t159 () (not @t158)) % 0.36/0.57 (define @t160 () (or @t138 @t159)) % 0.36/0.57 (define @t161 () (forall @t20 (or @t132 (not (forall @t15 (or @t157 @t131)))))) % 0.36/0.57 (define @t162 () (not @t161)) % 0.36/0.57 (define @t163 () (= @t162 @t145)) % 0.36/0.57 (define @t164 () (not @t163)) % 0.36/0.57 (define @t165 () (@list true false)) % 0.36/0.57 (define @t166 () (not @t150)) % 0.36/0.57 (define @t167 () (@quantifiers_skolemize @t147 0)) % 0.36/0.57 (define @t168 () (_ @t167 @t129)) % 0.36/0.57 (define @t169 () (or (not (_ @t167 @t146)) @t168)) % 0.36/0.57 (define @t170 () (not @t169)) % 0.36/0.57 (define @t171 () (_ @t167 @t135)) % 0.36/0.57 (define @t172 () (not @t171)) % 0.36/0.57 (define @t173 () (or @t172 @t168)) % 0.36/0.57 (assume @p1 @t54) % 0.36/0.57 (assume @p2 true) % 0.36/0.57 (step @p3 :rule aci_norm :args ((= @t88 @t86))) % 0.36/0.57 (step @p4 :rule cong :premises (@p3) :args (@t90)) % 0.36/0.57 (step @p5 :rule quant-merge-prenex :args ((= (forall @t52 @t92) @t90))) % 0.36/0.57 (step @p6 :rule alpha_equiv :args (@t93 (@list @t55) (@list @t1))) % 0.36/0.57 (step @p7 :rule refl :args (@t85)) % 0.36/0.57 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t94)) % 0.36/0.57 (step @p9 :rule quant-miniscope-or :args ((= @t92 @t94))) % 0.36/0.57 (step @p10 :rule trans :premises (@p9 @p8)) % 0.36/0.57 (step @p11 :rule symm :premises (@p10)) % 0.36/0.57 (step @p12 :rule cong :premises (@p11) :args ((forall @t52 (or @t85 (forall @t29 (or @t98 @t97)))))) % 0.36/0.57 (step @p13 :rule trans :premises (@p12 @p5)) % 0.36/0.57 (step @p14 :rule trans :premises (@p13 @p4)) % 0.36/0.57 (step @p15 :rule refl :args (@t97)) % 0.36/0.57 (step @p16 :rule refl :args ((_ @t1 @t3))) % 0.36/0.57 (step @p17 :rule refl :args (@t95)) % 0.36/0.57 (step @p18 :rule cong :premises (@p17) :args (@t98)) % 0.36/0.57 (step @p19 :rule trans :premises (@p18 @p16)) % 0.36/0.57 (step @p20 :rule refl :args (@t1)) % 0.36/0.57 (step @p21 :rule ho_cong :premises (@p20 @p17)) % 0.36/0.57 (step @p22 :rule cong :premises (@p21 @p19) :args ((= (_ @t1 @t95) @t98))) % 0.36/0.57 (step @p23 :rule symm :premises (@p22)) % 0.36/0.57 (step @p24 :rule refl :args (@t27)) % 0.36/0.57 (step @p25 :rule eq_resolve :premises (@p24 @p23)) % 0.36/0.57 (step @p26 :rule refl :args (@t3)) % 0.36/0.57 (step @p27 :rule cong :premises (@p26 @p17) :args ((= @t3 @t95))) % 0.36/0.57 (step @p28 :rule symm :premises (@p27)) % 0.36/0.57 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.36/0.57 (step @p30 :rule ho_cong :premises (@p20 @p29)) % 0.36/0.57 (step @p31 :rule trans :premises (@p30 @p25)) % 0.36/0.57 (step @p32 :rule nary_cong :premises (@p31 @p15) :args (@t99)) % 0.36/0.57 (step @p33 :rule cong :premises (@p32) :args ((forall @t29 @t99))) % 0.36/0.57 (step @p34 :rule refl :args ((_ @t4 @t3))) % 0.36/0.57 (step @p35 :rule cong :premises (@p17) :args (@t96)) % 0.36/0.57 (step @p36 :rule trans :premises (@p35 @p34)) % 0.36/0.57 (step @p37 :rule refl :args (@t4)) % 0.36/0.57 (step @p38 :rule ho_cong :premises (@p37 @p17)) % 0.36/0.57 (step @p39 :rule cong :premises (@p38 @p36) :args ((= (_ @t4 @t95) @t96))) % 0.36/0.57 (step @p40 :rule symm :premises (@p39)) % 0.36/0.57 (step @p41 :rule refl :args (@t5)) % 0.36/0.57 (step @p42 :rule eq_resolve :premises (@p41 @p40)) % 0.36/0.57 (step @p43 :rule ho_cong :premises (@p37 @p29)) % 0.36/0.57 (step @p44 :rule trans :premises (@p43 @p42)) % 0.36/0.57 (step @p45 :rule refl :args ((_ @t4 @t101))) % 0.36/0.57 (step @p46 :rule refl :args ((_ @t2 @t100))) % 0.36/0.57 (step @p47 :rule refl :args ((_ @t9 @t8))) % 0.36/0.57 (step @p48 :rule refl :args (@t57)) % 0.36/0.57 (step @p49 :rule cong :premises (@p48) :args (@t58)) % 0.36/0.57 (step @p50 :rule trans :premises (@p49 @p47)) % 0.36/0.57 (step @p51 :rule refl :args (@t59)) % 0.36/0.57 (step @p52 :rule cong :premises (@p51) :args (@t60)) % 0.36/0.57 (step @p53 :rule nary_cong :premises (@p52 @p50) :args (@t61)) % 0.36/0.57 (step @p54 :rule cong :premises (@p53) :args (@t62)) % 0.36/0.57 (step @p55 :rule cong :premises (@p54) :args (@t63)) % 0.36/0.57 (step @p56 :rule refl :args ((_ @t7 @t8))) % 0.36/0.57 (step @p57 :rule cong :premises (@p48) :args (@t64)) % 0.36/0.57 (step @p58 :rule trans :premises (@p57 @p56)) % 0.36/0.57 (step @p59 :rule nary_cong :premises (@p58 @p55) :args (@t65)) % 0.36/0.57 (step @p60 :rule cong :premises (@p59) :args (@t66)) % 0.36/0.57 (step @p61 :rule cong :premises (@p60) :args (@t67)) % 0.36/0.57 (step @p62 :rule cong :premises (@p61) :args (@t68)) % 0.36/0.57 (step @p63 :rule cong :premises (@p62) :args (@t69)) % 0.36/0.57 (step @p64 :rule trans :premises (@p63 @p46)) % 0.36/0.57 (step @p65 :rule cong :premises (@p64) :args (@t70)) % 0.36/0.57 (step @p66 :rule trans :premises (@p65 @p45)) % 0.36/0.57 (step @p67 :rule ho_cong :premises (@p37 @p64)) % 0.36/0.57 (step @p68 :rule cong :premises (@p67 @p66) :args ((= (_ @t4 @t69) @t70))) % 0.36/0.57 (step @p69 :rule symm :premises (@p68)) % 0.36/0.57 (step @p70 :rule refl :args ((_ @t4 @t101))) % 0.36/0.57 (step @p71 :rule eq_resolve :premises (@p70 @p69)) % 0.36/0.57 (step @p72 :rule refl :args (@t2)) % 0.36/0.57 (step @p73 :rule ho_cong :premises (@p72 @p62)) % 0.36/0.57 (step @p74 :rule cong :premises (@p73 @p64) :args ((= @t102 @t69))) % 0.36/0.57 (step @p75 :rule symm :premises (@p74)) % 0.36/0.57 (step @p76 :rule refl :args (@t101)) % 0.36/0.57 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.36/0.57 (step @p78 :rule ho_cong :premises (@p37 @p77)) % 0.36/0.57 (step @p79 :rule trans :premises (@p78 @p71)) % 0.36/0.57 (step @p80 :rule cong :premises (@p79) :args (@t104)) % 0.36/0.57 (step @p81 :rule nary_cong :premises (@p80 @p44) :args (@t105)) % 0.36/0.57 (step @p82 :rule cong :premises (@p81) :args ((forall @t25 @t105))) % 0.36/0.57 (step @p83 :rule bool-double-not-elim :args (@t5)) % 0.36/0.57 (step @p84 :rule refl :args (@t104)) % 0.36/0.57 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or @t104 (not @t6)))) % 0.36/0.57 (step @p86 :rule bool-and-de-morgan :args (@t103 @t6 true)) % 0.36/0.57 (step @p87 :rule trans :premises (@p86 @p85)) % 0.36/0.57 (step @p88 :rule cong :premises (@p87) :args (@t107)) % 0.36/0.57 (step @p89 :rule trans :premises (@p88 @p82)) % 0.36/0.57 (step @p90 :rule cong :premises (@p89) :args (@t108)) % 0.36/0.57 (step @p91 :rule exists-elim :args ((= (exists @t25 @t106) @t108))) % 0.36/0.57 (step @p92 :rule trans :premises (@p91 @p90)) % 0.36/0.57 (step @p93 :rule refl :args (@t6)) % 0.36/0.57 (step @p94 :rule refl :args (@t63)) % 0.36/0.57 (step @p95 :rule refl :args (@t7)) % 0.36/0.57 (step @p96 :rule ho_cong :premises (@p95 @p48)) % 0.36/0.57 (step @p97 :rule cong :premises (@p96 @p58) :args ((= (_ @t7 @t57) @t64))) % 0.36/0.57 (step @p98 :rule symm :premises (@p97)) % 0.36/0.57 (step @p99 :rule refl :args (@t17)) % 0.36/0.57 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 0.36/0.57 (step @p101 :rule refl :args (@t8)) % 0.36/0.57 (step @p102 :rule cong :premises (@p101 @p48) :args ((= @t8 @t57))) % 0.36/0.57 (step @p103 :rule symm :premises (@p102)) % 0.36/0.57 (step @p104 :rule eq_resolve :premises (@p101 @p103)) % 0.36/0.57 (step @p105 :rule ho_cong :premises (@p95 @p104)) % 0.36/0.57 (step @p106 :rule trans :premises (@p105 @p100)) % 0.36/0.57 (step @p107 :rule nary_cong :premises (@p106 @p94) :args (@t109)) % 0.36/0.57 (step @p108 :rule cong :premises (@p107) :args ((forall @t20 @t109))) % 0.36/0.57 (step @p109 :rule bool-double-not-elim :args (@t17)) % 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(step @p275 :rule aci_norm :args ((= (or @t138 false) @t138))) % 0.36/0.57 (step @p276 :rule evaluate :args ((not true))) % 0.36/0.57 (step @p277 :rule quant-unused-vars :args ((= (forall @t15 true) true))) % 0.36/0.57 (step @p278 :rule bool-or-taut2 :args (false @t156 false false)) % 0.36/0.57 (step @p279 :rule cong :premises (@p278) :args (@t158)) % 0.36/0.57 (step @p280 :rule trans :premises (@p279 @p277)) % 0.36/0.57 (step @p281 :rule cong :premises (@p280) :args (@t159)) % 0.36/0.57 (step @p282 :rule trans :premises (@p281 @p276)) % 0.36/0.57 (step @p283 :rule refl :args (@t138)) % 0.36/0.57 (step @p284 :rule nary_cong :premises (@p283 @p282) :args (@t160)) % 0.36/0.57 (step @p285 :rule trans :premises (@p284 @p275)) % 0.36/0.57 (step @p286 :rule refl :args (@t161)) % 0.36/0.57 (step @p287 :rule cong :premises (@p286 @p285) :args ((=> @t161 @t160))) % 0.36/0.57 (assume-push @p341 @t161) % 0.36/0.57 (step @p289 :rule instantiate :premises (@p341) :args ((@list @t127))) % 0.36/0.57 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@p315 :rule process_scope :premises (@p344) :args (@t170)) % 0.36/0.57 (step @p317 :rule implies_elim :premises (@p315)) % 0.36/0.57 (step @p318 :rule eq_resolve :premises (@p317 @p312)) % 0.36/0.57 (step @p319 :rule chain_m_resolution :premises (@p318 @p309) :args (@t170 @t142 (@list @t147))) % 0.36/0.57 (step @p320 :rule refl :args (@t168)) % 0.36/0.57 (step @p321 :rule eq-refl :args (@t134)) % 0.36/0.57 (step @p322 :rule refl :args (@t134)) % 0.36/0.57 (step @p323 :rule cong :premises (@p322 @p265) :args ((= @t134 @t144))) % 0.36/0.57 (step @p324 :rule trans :premises (@p323 @p321)) % 0.36/0.57 (step @p325 :rule true_elim :premises (@p324)) % 0.36/0.57 (step @p326 :rule cong :premises (@p325) :args (@t135)) % 0.36/0.57 (step @p327 :rule cong :premises (@p326) :args (@t171)) % 0.36/0.57 (step @p328 :rule cong :premises (@p327) :args (@t172)) % 0.36/0.57 (step @p329 :rule nary_cong :premises (@p328 @p320) :args (@t173)) % 0.36/0.57 (step @p330 :rule refl :args (@t136)) % 0.36/0.57 (step @p331 :rule cong :premises (@p330 @p329) :args ((=> @t136 @t173))) % 0.36/0.57 (assume-push @p345 @t136) % 0.36/0.57 (step @p333 :rule instantiate :premises (@p234) :args ((@list @t167))) % 0.36/0.57 (step-pop @p346 :rule scope :premises (@p333)) % 0.36/0.57 (step @p334 :rule process_scope :premises (@p346) :args (@t173)) % 0.36/0.57 (step @p336 :rule eq_resolve :premises (@p334 @p331)) % 0.36/0.57 (step @p337 :rule implies_elim :premises (@p336)) % 0.36/0.57 (step @p338 false :rule chain_m_resolution :premises (@p337 @p319 @p234) :args (false @t165 (@list @t169 @t136))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------