%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN364^5 : 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 : n018.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 09:08:42 AM UTC 2026 % Result : Theorem 0.45s 0.63s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN364^5 : 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 : n018.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 : Tue Jun 2 23:24:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.45/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/0.63 % SZS status Theorem % 0.45/0.63 % SZS output start Proof % 0.45/0.63 ( % 0.45/0.63 (declare-sort $$unsorted 0) % 0.45/0.63 (declare-const tptp.f (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.cQ (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.cM (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.g (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.cP (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (define @t1 () (@var "Xu" $$unsorted)) % 0.45/0.63 (define @t2 () (_ tptp.cP @t1)) % 0.45/0.63 (define @t3 () (_ @t2 @t1)) % 0.45/0.63 (define @t4 () (@var "Xv" $$unsorted)) % 0.45/0.63 (define @t5 () (_ tptp.g @t1)) % 0.45/0.63 (define @t6 () (_ (_ tptp.cP @t5) @t4)) % 0.45/0.63 (define @t7 () (and @t6 @t3)) % 0.45/0.63 (define @t8 () (@list @t4)) % 0.45/0.63 (define @t9 () (exists @t8 @t7)) % 0.45/0.63 (define @t10 () (@list @t1)) % 0.45/0.63 (define @t11 () (forall @t10 @t9)) % 0.45/0.63 (define @t12 () (@var "Xw" $$unsorted)) % 0.45/0.63 (define @t13 () (_ tptp.g @t12)) % 0.45/0.63 (define @t14 () (_ tptp.cM @t13)) % 0.45/0.63 (define @t15 () (not @t14)) % 0.45/0.63 (define @t16 () (_ tptp.cQ @t12)) % 0.45/0.63 (define @t17 () (@list @t12)) % 0.45/0.63 (define @t18 () (forall @t17 (=> @t16 @t15))) % 0.45/0.63 (define @t19 () (_ tptp.f @t1)) % 0.45/0.63 (define @t20 () (_ tptp.cQ (_ @t19 @t4))) % 0.45/0.63 (define @t21 () (_ tptp.cM @t1)) % 0.45/0.63 (define @t22 () (and @t21 @t20)) % 0.45/0.63 (define @t23 () (_ @t2 @t4)) % 0.45/0.63 (define @t24 () (or @t23 @t22)) % 0.45/0.63 (define @t25 () (exists @t8 @t24)) % 0.45/0.63 (define @t26 () (forall @t10 @t25)) % 0.45/0.63 (define @t27 () (@var "Xz" $$unsorted)) % 0.45/0.63 (define @t28 () (_ (_ tptp.cP @t27) @t27)) % 0.45/0.63 (define @t29 () (@list @t27)) % 0.45/0.63 (define @t30 () (forall @t29 @t28)) % 0.45/0.63 (define @t31 () (@var "Xy" $$unsorted)) % 0.45/0.63 (define @t32 () (@var "Xx" $$unsorted)) % 0.45/0.63 (define @t33 () (_ (_ tptp.cP @t32) @t31)) % 0.45/0.63 (define @t34 () (@list @t31)) % 0.45/0.63 (define @t35 () (exists @t34 @t33)) % 0.45/0.63 (define @t36 () (=> @t35 @t30)) % 0.45/0.63 (define @t37 () (@list @t32)) % 0.45/0.63 (define @t38 () (forall @t37 @t36)) % 0.45/0.63 (define @t39 () (and @t38 @t26 @t18)) % 0.45/0.63 (define @t40 () (=> @t39 @t11)) % 0.45/0.63 (define @t41 () (not @t40)) % 0.45/0.63 (define @t42 () (tptp.cP @t27 @t27)) % 0.45/0.63 (define @t43 () (forall @t29 @t42)) % 0.45/0.63 (define @t44 () (@var "BOUND_VARIABLE_7561" $$unsorted)) % 0.45/0.63 (define @t45 () (@list @t44)) % 0.45/0.63 (define @t46 () (not @t43)) % 0.45/0.63 (define @t47 () (tptp.cP @t44 @t44)) % 0.45/0.63 (define @t48 () (@list @t44)) % 0.45/0.63 (define @t49 () (forall @t48 @t47)) % 0.45/0.63 (define @t50 () (@var "BOUND_VARIABLE_7567" $$unsorted)) % 0.45/0.63 (define @t51 () (forall (@list @t50) (not (forall @t8 (not (tptp.cP (tptp.g @t50) @t4)))))) % 0.45/0.63 (define @t52 () (tptp.g (@quantifiers_skolemize @t51 0))) % 0.45/0.63 (define @t53 () (@purify @t52)) % 0.45/0.63 (define @t54 () (@list @t53)) % 0.45/0.63 (define @t55 () (tptp.cP @t53 @t53)) % 0.45/0.63 (define @t56 () (_ (_ tptp.cP @t44) @t44)) % 0.45/0.63 (define @t57 () (forall @t48 @t56)) % 0.45/0.63 (define @t58 () (tptp.g @t1)) % 0.45/0.63 (define @t59 () (tptp.cP @t58 @t4)) % 0.45/0.63 (define @t60 () (forall @t8 (not @t59))) % 0.45/0.63 (define @t61 () (not @t60)) % 0.45/0.63 (define @t62 () (forall @t10 @t61)) % 0.45/0.63 (define @t63 () (@list @t1)) % 0.45/0.63 (define @t64 () (forall @t10 @t3)) % 0.45/0.63 (define @t65 () (and @t64 @t62)) % 0.45/0.63 (define @t66 () (not @t3)) % 0.45/0.63 (define @t67 () (not @t6)) % 0.45/0.63 (define @t68 () (forall @t8 @t67)) % 0.45/0.63 (define @t69 () (or @t66 @t68)) % 0.45/0.63 (define @t70 () (or @t66 @t67)) % 0.45/0.63 (define @t71 () (or @t67 @t66)) % 0.45/0.63 (define @t72 () (forall @t8 (not @t7))) % 0.45/0.63 (define @t73 () (not @t72)) % 0.45/0.63 (define @t74 () (tptp.g @t12)) % 0.45/0.63 (define @t75 () (tptp.cM @t74)) % 0.45/0.63 (define @t76 () (tptp.cQ @t12)) % 0.45/0.63 (define @t77 () (not @t16)) % 0.45/0.63 (define @t78 () (or @t77 @t15)) % 0.45/0.63 (define @t79 () (@var "BOUND_VARIABLE_7495" $$unsorted)) % 0.45/0.63 (define @t80 () (tptp.f @t1 @t79)) % 0.45/0.63 (define @t81 () (tptp.cQ @t80)) % 0.45/0.63 (define @t82 () (@list @t79)) % 0.45/0.63 (define @t83 () (forall @t82 (not @t81))) % 0.45/0.63 (define @t84 () (not @t83)) % 0.45/0.63 (define @t85 () (tptp.cM @t1)) % 0.45/0.63 (define @t86 () (and @t21 @t84)) % 0.45/0.63 (define @t87 () (@var "BOUND_VARIABLE_7489" $$unsorted)) % 0.45/0.63 (define @t88 () (tptp.cP @t1 @t87)) % 0.45/0.63 (define @t89 () (@list @t87)) % 0.45/0.63 (define @t90 () (forall @t89 (not @t88))) % 0.45/0.63 (define @t91 () (not @t90)) % 0.45/0.63 (define @t92 () (or @t91 @t86)) % 0.45/0.63 (define @t93 () (not @t21)) % 0.45/0.63 (define @t94 () (or @t93 @t83)) % 0.45/0.63 (define @t95 () (_ @t19 @t79)) % 0.45/0.63 (define @t96 () (_ tptp.cQ @t95)) % 0.45/0.63 (define @t97 () (not @t96)) % 0.45/0.63 (define @t98 () (forall @t82 @t97)) % 0.45/0.63 (define @t99 () (or @t93 @t98)) % 0.45/0.63 (define @t100 () (forall @t82 (or @t93 @t97))) % 0.45/0.63 (define @t101 () (_ @t2 @t87)) % 0.45/0.63 (define @t102 () (not @t101)) % 0.45/0.63 (define @t103 () (forall @t89 @t102)) % 0.45/0.63 (define @t104 () (or @t93 (not @t20))) % 0.45/0.63 (define @t105 () (forall @t8 @t104)) % 0.45/0.63 (define @t106 () (@list @t4)) % 0.45/0.63 (define @t107 () (not @t23)) % 0.45/0.63 (define @t108 () (forall @t8 @t107)) % 0.45/0.63 (define @t109 () (and @t108 @t105)) % 0.45/0.63 (define @t110 () (forall @t8 (not @t24))) % 0.45/0.63 (define @t111 () (not @t110)) % 0.45/0.63 (define @t112 () (tptp.cP @t32 @t31)) % 0.45/0.63 (define @t113 () (not @t112)) % 0.45/0.63 (define @t114 () (forall (@list @t32 @t31) @t113)) % 0.45/0.63 (define @t115 () (forall @t34 @t113)) % 0.45/0.63 (define @t116 () (forall @t37 @t115)) % 0.45/0.63 (define @t117 () (or @t43 @t116)) % 0.45/0.63 (define @t118 () (or @t43 @t115)) % 0.45/0.63 (define @t119 () (or @t115 @t43)) % 0.45/0.63 (define @t120 () (not @t115)) % 0.45/0.63 (define @t121 () (not @t33)) % 0.45/0.63 (define @t122 () (forall @t34 @t121)) % 0.45/0.63 (define @t123 () (not @t122)) % 0.45/0.63 (define @t124 () (forall @t8 (not (tptp.cP @t52 @t4)))) % 0.45/0.63 (define @t125 () (not @t51)) % 0.45/0.63 (define @t126 () (not (not @t124))) % 0.45/0.63 (define @t127 () (tptp.cP @t52 @t53)) % 0.45/0.63 (define @t128 () (not @t127)) % 0.45/0.63 (define @t129 () (not @t55)) % 0.45/0.63 (define @t130 () (= @t52 @t53)) % 0.45/0.63 (define @t131 () (not @t130)) % 0.45/0.63 (define @t132 () (and @t128 @t130 @t55)) % 0.45/0.63 (define @t133 () (@list true)) % 0.45/0.63 (define @t134 () (forall @t82 (not (tptp.cQ (tptp.f @t53 @t79))))) % 0.45/0.63 (define @t135 () (tptp.f @t53 (@quantifiers_skolemize @t134 0))) % 0.45/0.63 (define @t136 () (tptp.g @t135)) % 0.45/0.63 (define @t137 () (forall @t89 (not (tptp.cP @t53 @t87)))) % 0.45/0.63 (define @t138 () (@quantifiers_skolemize @t137 0)) % 0.45/0.63 (define @t139 () (tptp.cP @t53 @t138)) % 0.45/0.63 (define @t140 () (not @t139)) % 0.45/0.63 (define @t141 () (@list false)) % 0.45/0.63 (define @t142 () (not @t137)) % 0.45/0.63 (define @t143 () (not @t140)) % 0.45/0.63 (define @t144 () (not @t134)) % 0.45/0.63 (define @t145 () (and (tptp.cM @t53) @t144)) % 0.45/0.63 (define @t146 () (or @t142 @t145)) % 0.45/0.63 (define @t147 () (@list false false)) % 0.45/0.63 (define @t148 () (tptp.cQ @t135)) % 0.45/0.63 (define @t149 () (not @t148)) % 0.45/0.63 (define @t150 () (not @t149)) % 0.45/0.63 (define @t151 () (tptp.cM @t136)) % 0.45/0.63 (define @t152 () (not @t151)) % 0.45/0.63 (define @t153 () (or @t149 @t152)) % 0.45/0.63 (define @t154 () (and @t151 (not (forall @t82 (not (tptp.cQ (tptp.f @t136 @t79))))))) % 0.45/0.63 (define @t155 () (not @t154)) % 0.45/0.63 (define @t156 () (forall @t89 (not (tptp.cP @t136 @t87)))) % 0.45/0.63 (define @t157 () (not @t156)) % 0.45/0.63 (define @t158 () (or @t157 @t154)) % 0.45/0.63 (define @t159 () (@quantifiers_skolemize @t156 0)) % 0.45/0.63 (define @t160 () (tptp.cP @t136 @t159)) % 0.45/0.63 (define @t161 () (not @t160)) % 0.45/0.63 (define @t162 () (not @t161)) % 0.45/0.63 (assume @p1 @t41) % 0.45/0.63 (assume @p2 true) % 0.45/0.63 (step @p3 :rule alpha_equiv :args (@t43 (@list @t27) @t45)) % 0.45/0.63 (step @p4 :rule equiv_elim1 :premises (@p3)) % 0.45/0.63 (step @p5 :rule reordering :premises (@p4) :args ((or @t49 @t46))) % 0.45/0.63 (assume-push @p332 @t43) % 0.45/0.63 (step @p7 :rule instantiate :premises (@p332) :args (@t54)) % 0.45/0.63 (step-pop @p333 :rule scope :premises (@p7)) % 0.45/0.63 (step @p8 :rule process_scope :premises (@p333) :args (@t55)) % 0.45/0.63 (step @p10 :rule implies_elim :premises (@p8)) % 0.45/0.63 (step @p11 :rule refl :args (@t51)) % 0.45/0.63 (step @p12 :rule refl :args (@t47)) % 0.45/0.63 (step @p13 :rule refl :args (@t56)) % 0.45/0.63 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t56 @t47))) % 0.45/0.63 (step @p15 :rule symm :premises (@p14)) % 0.45/0.63 (step @p16 :rule eq_resolve :premises (@p13 @p15)) % 0.45/0.63 (step @p17 :rule cong :premises (@p16) :args (@t57)) % 0.45/0.63 (step @p18 :rule nary_cong :premises (@p17 @p11) :args ((and @t57 @t51))) % 0.45/0.63 (step @p19 :rule alpha_equiv :args (@t62 @t63 (@list @t50))) % 0.45/0.63 (step @p20 :rule alpha_equiv :args (@t64 @t63 @t45)) % 0.45/0.63 (step @p21 :rule nary_cong :premises (@p20 @p19) :args (@t65)) % 0.45/0.63 (step @p22 :rule quant-miniscope-and :args ((= (forall @t10 (and @t3 @t61)) @t65))) % 0.45/0.63 (step @p23 :rule trans :premises (@p22 @p21)) % 0.45/0.63 (step @p24 :rule trans :premises (@p23 @p18)) % 0.45/0.63 (step @p25 :rule refl :args (@t61)) % 0.45/0.63 (step @p26 :rule bool-double-not-elim :args (@t3)) % 0.45/0.63 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((and (not @t66) @t61))) % 0.45/0.63 (step @p28 :rule bool-or-de-morgan :args (@t66 @t60 false)) % 0.45/0.63 (step @p29 :rule trans :premises (@p28 @p27)) % 0.45/0.63 (step @p30 :rule cong :premises (@p29) :args ((forall @t10 (not (or @t66 @t60))))) % 0.45/0.63 (step @p31 :rule trans :premises (@p30 @p24)) % 0.45/0.63 (step @p32 :rule refl :args ((tptp.cP @t5 @t4))) % 0.45/0.63 (step @p33 :rule refl :args (@t4)) % 0.45/0.63 (step @p34 :rule refl :args (@t58)) % 0.45/0.63 (step @p35 :rule cong :premises (@p34 @p33) :args (@t59)) % 0.45/0.63 (step @p36 :rule trans :premises (@p35 @p32)) % 0.45/0.63 (step @p37 :rule refl :args (tptp.cP)) % 0.45/0.63 (step @p38 :rule ho_cong :premises (@p37 @p34)) % 0.45/0.63 (step @p39 :rule ho_cong :premises (@p38 @p33)) % 0.45/0.63 (step @p40 :rule cong :premises (@p39 @p36) :args ((= (_ (_ tptp.cP @t58) @t4) @t59))) % 0.45/0.63 (step @p41 :rule symm :premises (@p40)) % 0.45/0.63 (step @p42 :rule refl :args (@t6)) % 0.45/0.63 (step @p43 :rule eq_resolve :premises (@p42 @p41)) % 0.45/0.63 (step @p44 :rule refl :args (@t5)) % 0.45/0.63 (step @p45 :rule cong :premises (@p44 @p34) :args ((= @t5 @t58))) % 0.45/0.63 (step @p46 :rule symm :premises (@p45)) % 0.45/0.63 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 0.45/0.63 (step @p48 :rule ho_cong :premises (@p37 @p47)) % 0.45/0.63 (step @p49 :rule ho_cong :premises (@p48 @p33)) % 0.45/0.63 (step @p50 :rule trans :premises (@p49 @p43)) % 0.45/0.63 (step @p51 :rule cong :premises (@p50) :args (@t67)) % 0.45/0.63 (step @p52 :rule cong :premises (@p51) :args (@t68)) % 0.45/0.63 (step @p53 :rule refl :args (@t66)) % 0.45/0.63 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t69)) % 0.45/0.63 (step @p55 :rule quant-miniscope-or :args ((= (forall @t8 @t70) @t69))) % 0.45/0.63 (step @p56 :rule aci_norm :args ((= @t71 @t70))) % 0.45/0.63 (step @p57 :rule cong :premises (@p56) :args ((forall @t8 @t71))) % 0.45/0.63 (step @p58 :rule trans :premises (@p57 @p55)) % 0.45/0.63 (step @p59 :rule trans :premises (@p58 @p54)) % 0.45/0.63 (step @p60 :rule bool-and-de-morgan :args (@t6 @t3 true)) % 0.45/0.63 (step @p61 :rule cong :premises (@p60) :args (@t72)) % 0.45/0.63 (step @p62 :rule trans :premises (@p61 @p59)) % 0.45/0.63 (step @p63 :rule cong :premises (@p62) :args (@t73)) % 0.45/0.63 (step @p64 :rule exists-elim :args ((= @t9 @t73))) % 0.45/0.63 (step @p65 :rule trans :premises (@p64 @p63)) % 0.45/0.63 (step @p66 :rule cong :premises (@p65) :args (@t11)) % 0.45/0.63 (step @p67 :rule trans :premises (@p66 @p31)) % 0.45/0.63 (step @p68 :rule refl :args ((tptp.cM @t13))) % 0.45/0.63 (step @p69 :rule refl :args (@t74)) % 0.45/0.63 (step @p70 :rule cong :premises (@p69) :args (@t75)) % 0.45/0.63 (step @p71 :rule trans :premises (@p70 @p68)) % 0.45/0.63 (step @p72 :rule refl :args (tptp.cM)) % 0.45/0.63 (step @p73 :rule ho_cong :premises (@p72 @p69)) % 0.45/0.63 (step @p74 :rule cong :premises (@p73 @p71) :args ((= (_ tptp.cM @t74) @t75))) % 0.45/0.63 (step @p75 :rule symm :premises (@p74)) % 0.45/0.63 (step @p76 :rule refl :args (@t14)) % 0.45/0.63 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.45/0.63 (step @p78 :rule refl :args (@t13)) % 0.45/0.63 (step @p79 :rule cong :premises (@p78 @p69) :args ((= @t13 @t74))) % 0.45/0.63 (step @p80 :rule symm :premises (@p79)) % 0.45/0.63 (step @p81 :rule eq_resolve :premises (@p78 @p80)) % 0.45/0.63 (step @p82 :rule ho_cong :premises (@p72 @p81)) % 0.45/0.63 (step @p83 :rule trans :premises (@p82 @p77)) % 0.45/0.63 (step @p84 :rule cong :premises (@p83) :args (@t15)) % 0.45/0.63 (step @p85 :rule refl :args (@t76)) % 0.45/0.63 (step @p86 :rule refl :args (@t16)) % 0.45/0.63 (step @p87 :rule cong :premises (@p86 @p85) :args ((= @t16 @t76))) % 0.45/0.63 (step @p88 :rule symm :premises (@p87)) % 0.45/0.63 (step @p89 :rule eq_resolve :premises (@p86 @p88)) % 0.45/0.63 (step @p90 :rule cong :premises (@p89) :args (@t77)) % 0.45/0.63 (step @p91 :rule nary_cong :premises (@p90 @p84) :args (@t78)) % 0.45/0.63 (step @p92 :rule cong :premises (@p91) :args ((forall @t17 @t78))) % 0.45/0.63 (step @p93 :rule bool-impl-elim :args (@t16 @t15)) % 0.45/0.63 (step @p94 :rule cong :premises (@p93) :args (@t18)) % 0.45/0.63 (step @p95 :rule trans :premises (@p94 @p92)) % 0.45/0.63 (step @p96 :rule refl :args (@t84)) % 0.45/0.63 (step @p97 :rule refl :args (@t85)) % 0.45/0.63 (step @p98 :rule refl :args (@t21)) % 0.45/0.63 (step @p99 :rule cong :premises (@p98 @p97) :args ((= @t21 @t85))) % 0.45/0.63 (step @p100 :rule symm :premises (@p99)) % 0.45/0.63 (step @p101 :rule eq_resolve :premises (@p98 @p100)) % 0.45/0.63 (step @p102 :rule nary_cong :premises (@p101 @p96) :args (@t86)) % 0.45/0.63 (step @p103 :rule refl :args (@t91)) % 0.45/0.63 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t92)) % 0.45/0.63 (step @p105 :rule cong :premises (@p104) :args ((forall @t10 @t92))) % 0.45/0.63 (step @p106 :rule bool-double-not-elim :args (@t21)) % 0.45/0.63 (step @p107 :rule nary_cong :premises (@p106 @p96) :args ((and (not @t93) @t84))) % 0.45/0.63 (step @p108 :rule bool-or-de-morgan :args (@t93 @t83 false)) % 0.45/0.63 (step @p109 :rule trans :premises (@p108 @p107)) % 0.45/0.63 (step @p110 :rule nary_cong :premises (@p103 @p109) :args ((or @t91 (not @t94)))) % 0.45/0.63 (step @p111 :rule bool-and-de-morgan :args (@t90 @t94 true)) % 0.45/0.63 (step @p112 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(step @p317 :rule cong :premises (@p316 @p315) :args ((=> @t157 @t162))) % 0.45/0.63 (assume-push @p356 @t157) % 0.45/0.63 (step @p319 :rule skolemize :premises (@p356)) % 0.45/0.63 (step-pop @p357 :rule scope :premises (@p319)) % 0.45/0.63 (step @p320 :rule process_scope :premises (@p357) :args (@t162)) % 0.45/0.63 (step @p322 :rule eq_resolve :premises (@p320 @p317)) % 0.45/0.63 (step @p323 :rule implies_elim :premises (@p322)) % 0.45/0.63 (step @p324 :rule eq_resolve :premises (@p323 @p314)) % 0.45/0.63 (step @p325 :rule chain_m_resolution :premises (@p324 @p311) :args (@t160 @t133 (@list @t156))) % 0.45/0.63 (assume-push @p358 @t114) % 0.45/0.63 (step @p327 :rule instantiate :premises (@p358) :args ((@list @t136 @t159))) % 0.45/0.63 (step-pop @p359 :rule scope :premises (@p327)) % 0.45/0.63 (step @p328 :rule process_scope :premises (@p359) :args (@t161)) % 0.45/0.63 (step @p330 :rule implies_elim :premises (@p328)) % 0.45/0.63 (step @p331 false :rule chain_m_resolution :premises (@p330 @p325 @p257) :args (false @t147 (@list @t160 @t114))) % 0.45/0.63 ) % 0.45/0.63 % SZS output end Proof % 0.45/0.63 % cvc5 exiting %------------------------------------------------------------------------------