%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT054+1 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:04:53 AM UTC 2026 % Result : Theorem 0.30s 0.75s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : MGT054+1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.44 % Computer : n020.cluster.edu % 0.18/0.44 % Model : x86_64 x86_64 % 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.44 % Memory : 8046.5625MB % 0.18/0.44 % OS : Linux 6.8.0-71-generic % 0.18/0.44 % CPULimit : 300 % 0.18/0.44 % WCLimit : 300 % 0.18/0.44 % DateTime : Mon Sep 7 13:25:58 UTC 2026 % 0.18/0.45 % CPUTime : % 0.21/0.56 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.75 % SZS status Theorem % 0.30/0.75 % SZS output start Proof % 0.30/0.75 ( % 0.30/0.75 (declare-sort $$unsorted 0) % 0.30/0.75 (declare-const tptp.sigma $$unsorted) % 0.30/0.75 (declare-const tptp.age (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.75 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.30/0.75 (declare-const tptp.capability (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.75 (declare-const tptp.smaller (-> $$unsorted $$unsorted Bool)) % 0.30/0.75 (declare-const tptp.has_immunity (-> $$unsorted $$unsorted Bool)) % 0.30/0.75 (declare-const tptp.smaller_or_equal (-> $$unsorted $$unsorted Bool)) % 0.30/0.75 (declare-const tptp.has_endowment (-> $$unsorted Bool)) % 0.30/0.75 (declare-const tptp.hazard_of_mortality (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.75 (declare-const tptp.organization (-> $$unsorted Bool)) % 0.30/0.75 (declare-const tptp.is_aligned (-> $$unsorted $$unsorted Bool)) % 0.30/0.75 (declare-const tptp.dissimilar (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.75 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.30/0.75 (declare-const tptp.zero $$unsorted) % 0.30/0.75 (define @t1 () (@var "Y" $$unsorted)) % 0.30/0.75 (define @t2 () (@var "X" $$unsorted)) % 0.30/0.75 (define @t3 () (= @t2 @t1)) % 0.30/0.75 (define @t4 () (tptp.smaller @t2 @t1)) % 0.30/0.75 (define @t5 () (@list @t2 @t1)) % 0.30/0.75 (define @t6 () (forall @t5 (= (tptp.smaller_or_equal @t2 @t1) (or @t4 @t3)))) % 0.30/0.75 (define @t7 () (tptp.greater @t2 @t1)) % 0.30/0.75 (define @t8 () (tptp.greater @t1 @t2)) % 0.30/0.75 (define @t9 () (forall @t5 (not (and @t7 @t8)))) % 0.30/0.75 (define @t10 () (@var "Z" $$unsorted)) % 0.30/0.75 (define @t11 () (@var "T" $$unsorted)) % 0.30/0.75 (define @t12 () (tptp.has_immunity @t2 @t11)) % 0.30/0.75 (define @t13 () (not @t12)) % 0.30/0.75 (define @t14 () (tptp.has_endowment @t2)) % 0.30/0.75 (define @t15 () (not @t14)) % 0.30/0.75 (define @t16 () (tptp.organization @t2)) % 0.30/0.75 (define @t17 () (and @t16 @t15)) % 0.30/0.75 (define @t18 () (@list @t2 @t11)) % 0.30/0.75 (define @t19 () (forall @t18 (=> @t17 @t13))) % 0.30/0.75 (define @t20 () (@var "T0" $$unsorted)) % 0.30/0.75 (define @t21 () (tptp.hazard_of_mortality @t2 @t20)) % 0.30/0.75 (define @t22 () (tptp.hazard_of_mortality @t2 @t11)) % 0.30/0.75 (define @t23 () (tptp.greater @t22 @t21)) % 0.30/0.75 (define @t24 () (tptp.has_immunity @t2 @t20)) % 0.30/0.75 (define @t25 () (and @t16 @t24 @t13)) % 0.30/0.75 (define @t26 () (@list @t2 @t20 @t11)) % 0.30/0.75 (define @t27 () (forall @t26 (=> @t25 @t23))) % 0.30/0.75 (define @t28 () (tptp.is_aligned @t2 @t11)) % 0.30/0.75 (define @t29 () (tptp.is_aligned @t2 @t20)) % 0.30/0.75 (define @t30 () (and @t16 (not (= @t29 @t28)))) % 0.30/0.75 (define @t31 () (tptp.dissimilar @t2 @t20 @t11)) % 0.30/0.75 (define @t32 () (= @t31 @t30)) % 0.30/0.75 (define @t33 () (forall @t26 @t32)) % 0.30/0.75 (define @t34 () (tptp.age @t2 @t11)) % 0.30/0.75 (define @t35 () (and @t16 (= @t34 tptp.zero))) % 0.30/0.75 (define @t36 () (=> @t35 @t28)) % 0.30/0.75 (define @t37 () (forall @t18 @t36)) % 0.30/0.75 (define @t38 () (tptp.capability @t2 @t11)) % 0.30/0.75 (define @t39 () (tptp.capability @t2 @t20)) % 0.30/0.75 (define @t40 () (tptp.greater @t39 @t38)) % 0.30/0.75 (define @t41 () (not @t28)) % 0.30/0.75 (define @t42 () (and @t16 @t29 @t41)) % 0.30/0.75 (define @t43 () (forall @t26 (=> @t42 @t40))) % 0.30/0.75 (define @t44 () (tptp.greater @t34 tptp.sigma)) % 0.30/0.75 (define @t45 () (tptp.age @t2 @t20)) % 0.30/0.75 (define @t46 () (= @t45 tptp.zero)) % 0.30/0.75 (define @t47 () (and @t16 @t46)) % 0.30/0.75 (define @t48 () (=> @t47 (= @t44 @t31))) % 0.30/0.75 (define @t49 () (forall @t26 @t48)) % 0.30/0.75 (define @t50 () (tptp.greater @t21 @t22)) % 0.30/0.75 (define @t51 () (tptp.greater @t38 @t39)) % 0.30/0.75 (define @t52 () (not @t24)) % 0.30/0.75 (define @t53 () (and @t16 @t52 @t13 @t51)) % 0.30/0.75 (define @t54 () (forall @t26 (=> @t53 @t50))) % 0.30/0.75 (define @t55 () (@var "T1" $$unsorted)) % 0.30/0.75 (define @t56 () (@var "T2" $$unsorted)) % 0.30/0.75 (define @t57 () (tptp.greater (tptp.hazard_of_mortality @t2 @t56) (tptp.hazard_of_mortality @t2 @t55))) % 0.30/0.75 (define @t58 () (tptp.greater tptp.sigma tptp.zero)) % 0.30/0.75 (define @t59 () (tptp.greater (tptp.age @t2 @t56) tptp.sigma)) % 0.30/0.75 (define @t60 () (tptp.smaller_or_equal (tptp.age @t2 @t55) tptp.sigma)) % 0.30/0.75 (define @t61 () (and @t16 @t15 @t46 @t60 @t59 @t58)) % 0.30/0.75 (define @t62 () (=> @t61 @t57)) % 0.30/0.75 (define @t63 () (@list @t2 @t20 @t55 @t56)) % 0.30/0.75 (define @t64 () (forall @t63 @t62)) % 0.30/0.75 (define @t65 () (not @t64)) % 0.30/0.75 (define @t66 () (= @t31 @t44)) % 0.30/0.75 (define @t67 () (= tptp.zero @t45)) % 0.30/0.75 (define @t68 () (not @t67)) % 0.30/0.75 (define @t69 () (not @t16)) % 0.30/0.75 (define @t70 () (or @t69 @t68 @t66)) % 0.30/0.75 (define @t71 () (and @t16 @t67)) % 0.30/0.75 (define @t72 () (not @t59)) % 0.30/0.75 (define @t73 () (not @t60)) % 0.30/0.75 (define @t74 () (or @t69 @t14 @t68 @t73 @t72 @t57)) % 0.30/0.75 (define @t75 () (forall @t63 @t74)) % 0.30/0.75 (define @t76 () (@quantifiers_skolemize @t75 2)) % 0.30/0.75 (define @t77 () (@quantifiers_skolemize @t75 1)) % 0.30/0.75 (define @t78 () (@quantifiers_skolemize @t75 0)) % 0.30/0.75 (define @t79 () (@list @t78 @t77 @t76)) % 0.30/0.75 (define @t80 () (not @t58)) % 0.30/0.75 (define @t81 () (or @t80 @t74)) % 0.30/0.75 (define @t82 () (or @t69 @t14 @t68 @t73 @t72 @t80 @t57)) % 0.30/0.75 (define @t83 () (not @t15)) % 0.30/0.75 (define @t84 () (or @t69 @t83 @t68 @t73 @t72 @t80)) % 0.30/0.75 (define @t85 () (and @t16 @t15 @t67 @t60 @t59 @t58)) % 0.30/0.75 (define @t86 () (= tptp.zero (tptp.age @t78 @t77))) % 0.30/0.75 (define @t87 () (@quantifiers_skolemize @t75 3)) % 0.30/0.75 (define @t88 () (tptp.greater (tptp.hazard_of_mortality @t78 @t87) (tptp.hazard_of_mortality @t78 @t76))) % 0.30/0.75 (define @t89 () (tptp.greater (tptp.age @t78 @t87) tptp.sigma)) % 0.30/0.75 (define @t90 () (not @t89)) % 0.30/0.75 (define @t91 () (tptp.age @t78 @t76)) % 0.30/0.75 (define @t92 () (tptp.smaller_or_equal @t91 tptp.sigma)) % 0.30/0.75 (define @t93 () (not @t92)) % 0.30/0.75 (define @t94 () (not @t86)) % 0.30/0.75 (define @t95 () (tptp.has_endowment @t78)) % 0.30/0.75 (define @t96 () (tptp.organization @t78)) % 0.30/0.75 (define @t97 () (not @t96)) % 0.30/0.75 (define @t98 () (or @t97 @t95 @t94 @t93 @t90 @t88)) % 0.30/0.75 (define @t99 () (@list true)) % 0.30/0.75 (define @t100 () (@list @t98)) % 0.30/0.75 (define @t101 () (tptp.greater @t91 tptp.sigma)) % 0.30/0.75 (define @t102 () (tptp.dissimilar @t78 @t77 @t76)) % 0.30/0.75 (define @t103 () (= @t102 @t101)) % 0.30/0.75 (define @t104 () (or @t97 @t94 @t103)) % 0.30/0.75 (define @t105 () (@list false false false)) % 0.30/0.75 (define @t106 () (not @t29)) % 0.30/0.75 (define @t107 () (and @t16 (= @t106 @t28))) % 0.30/0.75 (define @t108 () (= @t31 @t107)) % 0.30/0.75 (define @t109 () (= tptp.zero @t34)) % 0.30/0.75 (define @t110 () (not @t109)) % 0.30/0.75 (define @t111 () (and @t16 @t109)) % 0.30/0.75 (define @t112 () (tptp.is_aligned @t78 @t77)) % 0.30/0.75 (define @t113 () (or @t97 @t94 @t112)) % 0.30/0.75 (define @t114 () (not @t41)) % 0.30/0.75 (define @t115 () (or @t69 @t106 @t114)) % 0.30/0.75 (define @t116 () (@list @t78 @t76 @t87)) % 0.30/0.75 (define @t117 () (not @t51)) % 0.30/0.75 (define @t118 () (not @t13)) % 0.30/0.75 (define @t119 () (not @t52)) % 0.30/0.75 (define @t120 () (or @t69 @t119 @t118 @t117)) % 0.30/0.75 (define @t121 () (tptp.has_immunity @t78 @t87)) % 0.30/0.75 (define @t122 () (not @t121)) % 0.30/0.75 (define @t123 () (or @t97 @t95 @t122)) % 0.30/0.75 (define @t124 () (or @t69 @t52 @t118)) % 0.30/0.75 (define @t125 () (tptp.has_immunity @t78 @t76)) % 0.30/0.75 (define @t126 () (not @t125)) % 0.30/0.75 (define @t127 () (or @t97 @t126 @t121 @t88)) % 0.30/0.75 (define @t128 () (@list false true true false)) % 0.30/0.75 (define @t129 () (tptp.greater (tptp.capability @t78 @t76) (tptp.capability @t78 @t87))) % 0.30/0.75 (define @t130 () (not @t129)) % 0.30/0.75 (define @t131 () (or @t97 @t121 @t125 @t130 @t88)) % 0.30/0.75 (define @t132 () (@list @t78 @t77 @t87)) % 0.30/0.75 (define @t133 () (tptp.dissimilar @t78 @t77 @t87)) % 0.30/0.75 (define @t134 () (or @t97 @t94 (= @t133 @t89))) % 0.30/0.75 (define @t135 () (forall @t26 @t70)) % 0.30/0.75 (define @t136 () (= @t89 @t133)) % 0.30/0.75 (define @t137 () (or @t97 @t94 @t136)) % 0.30/0.75 (define @t138 () (@list false)) % 0.30/0.75 (define @t139 () (@list false false)) % 0.30/0.75 (define @t140 () (not @t112)) % 0.30/0.75 (define @t141 () (tptp.is_aligned @t78 @t87)) % 0.30/0.75 (define @t142 () (= @t141 @t140)) % 0.30/0.75 (define @t143 () (and @t96 @t142)) % 0.30/0.75 (define @t144 () (= @t133 @t143)) % 0.30/0.75 (define @t145 () (not @t141)) % 0.30/0.75 (define @t146 () (tptp.is_aligned @t78 @t76)) % 0.30/0.75 (define @t147 () (not @t146)) % 0.30/0.75 (define @t148 () (or @t97 @t147 @t141 @t129)) % 0.30/0.75 (define @t149 () (= @t146 @t140)) % 0.30/0.75 (define @t150 () (@list true false)) % 0.30/0.75 (define @t151 () (and @t96 @t149)) % 0.30/0.75 (define @t152 () (= @t102 @t151)) % 0.30/0.75 (define @t153 () (@list @t91 tptp.sigma)) % 0.30/0.75 (define @t154 () (tptp.smaller @t91 tptp.sigma)) % 0.30/0.75 (define @t155 () (or @t154 (= @t91 tptp.sigma))) % 0.30/0.75 (define @t156 () (= @t92 @t155)) % 0.30/0.75 (define @t157 () (= tptp.sigma @t91)) % 0.30/0.75 (define @t158 () (or @t154 @t157)) % 0.30/0.75 (define @t159 () (= @t92 @t158)) % 0.30/0.75 (define @t160 () (tptp.greater tptp.sigma @t91)) % 0.30/0.75 (define @t161 () (= @t154 @t160)) % 0.30/0.75 (define @t162 () (not @t161)) % 0.30/0.75 (define @t163 () (not @t160)) % 0.30/0.75 (define @t164 () (not @t101)) % 0.30/0.75 (define @t165 () (not @t157)) % 0.30/0.75 (define @t166 () (and @t157 @t163)) % 0.30/0.75 (define @t167 () (or @t163 @t164)) % 0.30/0.75 (define @t168 () (not @t167)) % 0.30/0.75 (define @t169 () (forall @t5 (or (not @t7) (not @t8)))) % 0.30/0.75 (assume @p1 @t6) % 0.30/0.75 (assume @p2 (forall @t5 (= (tptp.greater_or_equal @t2 @t1) (or @t7 @t3)))) % 0.30/0.75 (assume @p3 (forall @t5 (= @t4 @t8))) % 0.30/0.75 (assume @p4 @t9) % 0.30/0.75 (assume @p5 (forall (@list @t2 @t1 @t10) (=> (and @t7 (tptp.greater @t1 @t10)) (tptp.greater @t2 @t10)))) % 0.30/0.75 (assume @p6 (forall @t5 (or @t4 @t3 @t7))) % 0.30/0.75 (assume @p7 @t19) % 0.30/0.75 (assume @p8 @t27) % 0.30/0.75 (assume @p9 @t33) % 0.30/0.75 (assume @p10 @t37) % 0.30/0.75 (assume @p11 @t43) % 0.30/0.75 (assume @p12 @t49) % 0.30/0.75 (assume @p13 @t54) % 0.30/0.75 (assume @p14 @t65) % 0.30/0.75 (assume @p15 true) % 0.30/0.75 (step @p16 :rule bool-and-de-morgan :args (@t7 @t8 true)) % 0.30/0.75 (step @p17 :rule cong :premises (@p16) :args (@t9)) % 0.30/0.75 (step @p18 :rule eq_resolve :premises (@p4 @p17)) % 0.30/0.75 (step @p19 :rule aci_norm :args ((= (or (or @t69 @t68) @t66) @t70))) % 0.30/0.75 (step @p20 :rule refl :args (@t66)) % 0.30/0.75 (step @p21 :rule bool-and-de-morgan :args (@t16 @t67 true)) % 0.30/0.75 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or (not @t71) @t66))) % 0.30/0.75 (step @p23 :rule trans :premises (@p22 @p19)) % 0.30/0.75 (step @p24 :rule bool-impl-elim :args (@t71 @t66)) % 0.30/0.75 (step @p25 :rule trans :premises (@p24 @p23)) % 0.30/0.75 (step @p26 :rule cong :premises (@p25) :args ((forall @t26 (=> @t71 @t66)))) % 0.30/0.75 (step @p27 :rule eq-symm :args (@t44 @t31)) % 0.30/0.75 (step @p28 :rule eq-symm :args (@t45 tptp.zero)) % 0.30/0.75 (step @p29 :rule refl :args (@t16)) % 0.30/0.75 (step @p30 :rule nary_cong :premises (@p29 @p28) :args (@t47)) % 0.30/0.75 (step @p31 :rule cong :premises (@p30 @p27) :args (@t48)) % 0.30/0.75 (step @p32 :rule cong :premises (@p31) :args (@t49)) % 0.30/0.75 (step @p33 :rule trans :premises (@p32 @p26)) % 0.30/0.75 (step @p34 :rule eq_resolve :premises (@p12 @p33)) % 0.30/0.75 (step @p35 :rule instantiate :premises (@p34) :args (@t79)) % 0.30/0.75 (step @p36 :rule quant-miniscope-or :args ((= (forall @t63 @t81) (or @t80 @t75)))) % 0.30/0.75 (step @p37 :rule aci_norm :args ((= @t82 @t81))) % 0.30/0.75 (step @p38 :rule cong :premises (@p37) :args ((forall @t63 @t82))) % 0.30/0.75 (step @p39 :rule trans :premises (@p38 @p36)) % 0.30/0.75 (step @p40 :rule aci_norm :args ((= (or (or @t69 @t14 @t68 @t73 @t72 @t80) @t57) @t82))) % 0.30/0.75 (step @p41 :rule refl :args (@t57)) % 0.30/0.75 (step @p42 :rule refl :args (@t80)) % 0.30/0.75 (step @p43 :rule refl :args (@t72)) % 0.30/0.75 (step @p44 :rule refl :args (@t73)) % 0.30/0.75 (step @p45 :rule refl :args (@t68)) % 0.30/0.75 (step @p46 :rule bool-double-not-elim :args (@t14)) % 0.30/0.75 (step @p47 :rule refl :args (@t69)) % 0.30/0.75 (step @p48 :rule nary_cong :premises (@p47 @p46 @p45 @p44 @p43 @p42) :args (@t84)) % 0.30/0.75 (step @p49 :rule aci_norm :args ((= (or @t69 (or @t83 (or @t68 (or @t73 (or @t72 @t80))))) @t84))) % 0.30/0.75 (step @p50 :rule trans :premises (@p49 @p48)) % 0.30/0.75 (step @p51 :rule bool-and-de-morgan :args (@t59 @t58 true)) % 0.30/0.75 (step @p52 :rule nary_cong :premises (@p44 @p51) :args ((or @t73 (not (and @t59 @t58))))) % 0.30/0.75 (step @p53 :rule bool-and-de-morgan :args (@t60 @t59 (and @t58))) % 0.30/0.75 (step @p54 :rule trans :premises (@p53 @p52)) % 0.30/0.75 (step @p55 :rule nary_cong :premises (@p45 @p54) :args ((or @t68 (not (and @t60 @t59 @t58))))) % 0.30/0.75 (step @p56 :rule bool-and-de-morgan :args (@t67 @t60 (and @t59 @t58))) % 0.30/0.75 (step @p57 :rule trans :premises (@p56 @p55)) % 0.30/0.75 (step @p58 :rule refl :args (@t83)) % 0.30/0.75 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t83 (not (and @t67 @t60 @t59 @t58))))) % 0.30/0.75 (step @p60 :rule bool-and-de-morgan :args (@t15 @t67 (and @t60 @t59 @t58))) % 0.30/0.75 (step @p61 :rule trans :premises (@p60 @p59)) % 0.30/0.75 (step @p62 :rule nary_cong :premises (@p47 @p61) :args ((or @t69 (not (and @t15 @t67 @t60 @t59 @t58))))) % 0.30/0.75 (step @p63 :rule bool-and-de-morgan :args (@t16 @t15 (and @t67 @t60 @t59 @t58))) % 0.30/0.75 (step @p64 :rule trans :premises (@p63 @p62)) % 0.30/0.75 (step @p65 :rule trans :premises (@p64 @p50)) % 0.30/0.75 (step @p66 :rule nary_cong :premises (@p65 @p41) :args ((or (not @t85) @t57))) % 0.30/0.75 (step @p67 :rule trans :premises (@p66 @p40)) % 0.30/0.75 (step @p68 :rule bool-impl-elim :args (@t85 @t57)) % 0.30/0.75 (step @p69 :rule trans :premises (@p68 @p67)) % 0.30/0.75 (step @p70 :rule cong :premises (@p69) :args ((forall @t63 (=> @t85 @t57)))) % 0.30/0.75 (step @p71 :rule trans :premises (@p70 @p39)) % 0.30/0.75 (step @p72 :rule refl :args (@t57)) % 0.30/0.75 (step @p73 :rule refl :args (@t58)) % 0.30/0.75 (step @p74 :rule refl :args (@t59)) % 0.30/0.75 (step @p75 :rule refl :args (@t60)) % 0.30/0.75 (step @p76 :rule refl :args (@t15)) % 0.30/0.75 (step @p77 :rule nary_cong :premises (@p29 @p76 @p28 @p75 @p74 @p73) :args (@t61)) % 0.30/0.75 (step @p78 :rule cong :premises (@p77 @p72) :args (@t62)) % 0.30/0.75 (step @p79 :rule cong :premises (@p78) :args (@t64)) % 0.30/0.75 (step @p80 :rule trans :premises (@p79 @p71)) % 0.30/0.75 (step @p81 :rule cong :premises (@p80) :args (@t65)) % 0.30/0.75 (step @p82 :rule eq_resolve :premises 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:args (@t152)) % 0.30/0.75 (step @p265 :rule reordering :premises (@p264) :args ((or @t102 (not @t151) (not @t152)))) % 0.30/0.75 (step @p266 :rule chain_m_resolution :premises (@p265 @p263 @p114) :args (@t102 @t139 (@list @t151 @t152))) % 0.30/0.75 (step @p267 :rule cnf_equiv_pos1 :args (@t103)) % 0.30/0.75 (step @p268 :rule reordering :premises (@p267) :args ((or @t101 (not @t102) (not @t103)))) % 0.30/0.75 (step @p269 :rule chain_m_resolution :premises (@p268 @p266 @p100) :args (@t101 @t139 (@list @t102 @t103))) % 0.30/0.75 (step @p270 :rule instantiate :premises (@p3) :args (@t153)) % 0.30/0.75 (step @p271 :rule eq-symm :args (@t91 tptp.sigma)) % 0.30/0.75 (step @p272 :rule refl :args (@t154)) % 0.30/0.75 (step @p273 :rule nary_cong :premises (@p272 @p271) :args (@t155)) % 0.30/0.75 (step @p274 :rule refl :args (@t92)) % 0.30/0.75 (step @p275 :rule cong :premises (@p274 @p273) :args (@t156)) % 0.30/0.75 (step @p276 :rule refl :args (@t6)) % 0.30/0.75 (step @p277 :rule cong 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(step @p291 :rule cnf_equiv_pos1 :args (@t159)) % 0.30/0.75 (step @p292 :rule reordering :premises (@p291) :args ((or @t93 @t158 (not @t159)))) % 0.30/0.75 (step @p293 :rule chain_m_resolution :premises (@p292 @p290 @p284) :args (@t158 @t139 (@list @t92 @t159))) % 0.30/0.75 (step @p294 :rule cnf_or_pos :args (@t158)) % 0.30/0.75 (step @p295 :rule reordering :premises (@p294) :args ((or @t154 @t157 (not @t158)))) % 0.30/0.75 (step @p296 :rule cnf_equiv_pos2 :args (@t161)) % 0.30/0.75 (step @p297 :rule reordering :premises (@p296) :args ((or @t154 @t163 @t162))) % 0.30/0.75 (step @p298 :rule refl :args (@t164)) % 0.30/0.75 (step @p299 :rule bool-double-not-elim :args (@t160)) % 0.30/0.75 (step @p300 :rule refl :args (@t165)) % 0.30/0.75 (step @p301 :rule nary_cong :premises (@p300 @p299 @p298) :args ((or @t165 (not @t163) @t164))) % 0.30/0.75 (assume-push @p340 @t157) % 0.30/0.75 (assume-push @p341 @t163) % 0.30/0.75 (assume-push @p342 @t163) % 0.30/0.75 (assume-push @p343 @t157) % 0.30/0.75 (step @p306 :rule false_intro :premises (@p341)) % 0.30/0.75 (step @p307 :rule symm :premises (@p340)) % 0.30/0.75 (step @p308 :rule cong :premises (@p307 @p340) :args (@t101)) % 0.30/0.75 (step @p309 :rule trans :premises (@p308 @p306)) % 0.30/0.75 (step @p310 :rule false_elim :premises (@p309)) % 0.30/0.75 (step-pop @p344 :rule scope :premises (@p310)) % 0.30/0.75 (step-pop @p345 :rule scope :premises (@p344)) % 0.30/0.75 (step @p311 :rule process_scope :premises (@p345) :args (@t164)) % 0.30/0.75 (step @p314 :rule and_intro :premises (@p341 @p340)) % 0.30/0.75 (step @p315 :rule modus_ponens :premises (@p314 @p311)) % 0.30/0.75 (step-pop @p346 :rule scope :premises (@p315)) % 0.30/0.75 (step-pop @p347 :rule scope :premises (@p346)) % 0.30/0.75 (step @p316 :rule process_scope :premises (@p347) :args (@t164)) % 0.30/0.75 (step @p319 :rule implies_elim :premises (@p316)) % 0.30/0.75 (step @p320 :rule cnf_and_neg :args (@t166)) % 0.30/0.75 (step @p321 :rule resolution :premises (@p320 @p319) :args (true @t166)) % 0.30/0.75 (step @p322 :rule eq_resolve :premises (@p321 @p301)) % 0.30/0.75 (step @p323 :rule chain_m_resolution :premises (@p322 @p269 @p297 @p270 @p295 @p293) :args (@t154 (@list false true false false false) (@list @t101 @t160 @t161 @t157 @t158))) % 0.30/0.75 (step @p324 :rule cnf_equiv_pos1 :args (@t161)) % 0.30/0.75 (step @p325 :rule reordering :premises (@p324) :args ((or (not @t154) @t160 @t162))) % 0.30/0.75 (step @p326 :rule chain_m_resolution :premises (@p325 @p323 @p270) :args (@t160 @t139 (@list @t154 @t161))) % 0.30/0.75 (step @p327 :rule cnf_or_pos :args (@t167)) % 0.30/0.75 (step @p328 :rule reordering :premises (@p327) :args ((or @t163 @t164 @t168))) % 0.30/0.75 (step @p329 :rule chain_m_resolution :premises (@p328 @p326 @p269) :args (@t168 @t139 (@list @t160 @t101))) % 0.30/0.75 (assume-push @p348 @t169) % 0.30/0.75 (step @p331 :rule instantiate :premises (@p18) :args ((@list tptp.sigma @t91))) % 0.30/0.75 (step-pop @p349 :rule scope :premises (@p331)) % 0.30/0.75 (step @p332 :rule process_scope :premises (@p349) :args (@t167)) % 0.30/0.75 (step @p334 :rule implies_elim :premises (@p332)) % 0.30/0.75 (step @p335 false :rule chain_m_resolution :premises (@p334 @p329 @p18) :args (false @t150 (@list @t167 @t169))) % 0.30/0.75 ) % 0.30/0.75 % SZS output end Proof % 0.30/0.75 % cvc5 exiting %------------------------------------------------------------------------------