%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT026+1 : TPTP v9.3.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 06:04:45 AM UTC 2026 % Result : Theorem 0.20s 0.53s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT026+1 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.10/0.35 % Computer : n003.cluster.edu % 0.10/0.35 % Model : x86_64 x86_64 % 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.35 % Memory : 8046.5625MB % 0.10/0.35 % OS : Linux 6.8.0-71-generic % 0.10/0.35 % CPULimit : 300 % 0.10/0.35 % WCLimit : 300 % 0.10/0.35 % DateTime : Mon Sep 7 12:13:39 UTC 2026 % 0.10/0.36 % CPUTime : % 0.10/0.42 %----Proving TF0_NAR, FOF, or CNF % 0.20/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.20/0.53 % SZS status Theorem % 0.20/0.53 % SZS output start Proof % 0.20/0.53 ( % 0.20/0.53 (declare-sort $$unsorted 0) % 0.20/0.53 (declare-const tptp.critical_point (-> $$unsorted $$unsorted)) % 0.20/0.53 (declare-const tptp.selection_favors (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.20/0.53 (declare-const tptp.growth_rate (-> $$unsorted $$unsorted $$unsorted)) % 0.20/0.53 (declare-const tptp.appear (-> $$unsorted $$unsorted $$unsorted)) % 0.20/0.53 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.20/0.53 (declare-const tptp.cardinality_at_time (-> $$unsorted $$unsorted $$unsorted)) % 0.20/0.53 (declare-const tptp.first_movers $$unsorted) % 0.20/0.53 (declare-const tptp.subpopulations (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.20/0.53 (declare-const tptp.environment (-> $$unsorted Bool)) % 0.20/0.53 (declare-const tptp.zero $$unsorted) % 0.20/0.53 (declare-const tptp.efficient_producers $$unsorted) % 0.20/0.53 (declare-const tptp.subpopulation (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.20/0.53 (declare-const tptp.in_environment (-> $$unsorted $$unsorted Bool)) % 0.20/0.53 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.20/0.53 (define @t1 () (@var "T" $$unsorted)) % 0.20/0.53 (define @t2 () (@var "S1" $$unsorted)) % 0.20/0.53 (define @t3 () (@var "S2" $$unsorted)) % 0.20/0.53 (define @t4 () (tptp.selection_favors @t3 @t2 @t1)) % 0.20/0.53 (define @t5 () (tptp.greater (tptp.growth_rate @t3 @t1) (tptp.growth_rate @t2 @t1))) % 0.20/0.53 (define @t6 () (@var "E" $$unsorted)) % 0.20/0.53 (define @t7 () (tptp.subpopulations @t2 @t3 @t6 @t1)) % 0.20/0.53 (define @t8 () (tptp.environment @t6)) % 0.20/0.53 (define @t9 () (and @t8 @t7 @t5)) % 0.20/0.53 (define @t10 () (@list @t6 @t2 @t3 @t1)) % 0.20/0.53 (define @t11 () (forall @t10 (=> @t9 @t4))) % 0.20/0.53 (define @t12 () (tptp.selection_favors @t2 @t3 @t1)) % 0.20/0.53 (define @t13 () (tptp.cardinality_at_time @t3 @t1)) % 0.20/0.53 (define @t14 () (tptp.greater (tptp.cardinality_at_time @t2 @t1) tptp.zero)) % 0.20/0.53 (define @t15 () (tptp.subpopulation @t3 @t6 @t1)) % 0.20/0.53 (define @t16 () (tptp.subpopulation @t2 @t6 @t1)) % 0.20/0.53 (define @t17 () (and @t8 @t16 @t15 @t14 (= @t13 tptp.zero))) % 0.20/0.53 (define @t18 () (=> @t17 @t12)) % 0.20/0.53 (define @t19 () (forall @t10 @t18)) % 0.20/0.53 (define @t20 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t6 @t1)) % 0.20/0.53 (define @t21 () (tptp.greater (tptp.cardinality_at_time tptp.efficient_producers @t1) tptp.zero)) % 0.20/0.53 (define @t22 () (tptp.cardinality_at_time tptp.first_movers @t1)) % 0.20/0.53 (define @t23 () (tptp.greater @t22 tptp.zero)) % 0.20/0.53 (define @t24 () (tptp.in_environment @t6 @t1)) % 0.20/0.53 (define @t25 () (and @t8 @t24 @t23 @t21)) % 0.20/0.53 (define @t26 () (@list @t6 @t1)) % 0.20/0.53 (define @t27 () (forall @t26 (=> @t25 @t20))) % 0.20/0.53 (define @t28 () (tptp.greater_or_equal @t22 tptp.zero)) % 0.20/0.53 (define @t29 () (and @t8 @t24)) % 0.20/0.53 (define @t30 () (forall @t26 (=> @t29 @t28))) % 0.20/0.53 (define @t31 () (and (tptp.subpopulation tptp.first_movers @t6 @t1) (tptp.subpopulation tptp.efficient_producers @t6 @t1))) % 0.20/0.53 (define @t32 () (forall @t26 (=> @t29 @t31))) % 0.20/0.53 (define @t33 () (tptp.appear tptp.efficient_producers @t6)) % 0.20/0.53 (define @t34 () (tptp.critical_point @t6)) % 0.20/0.53 (define @t35 () (tptp.greater_or_equal @t34 @t33)) % 0.20/0.53 (define @t36 () (forall (@list @t6) (=> @t8 @t35))) % 0.20/0.53 (define @t37 () (@var "Z" $$unsorted)) % 0.20/0.53 (define @t38 () (@var "X" $$unsorted)) % 0.20/0.53 (define @t39 () (tptp.greater @t38 @t37)) % 0.20/0.53 (define @t40 () (@var "Y" $$unsorted)) % 0.20/0.53 (define @t41 () (tptp.greater @t40 @t37)) % 0.20/0.53 (define @t42 () (tptp.greater @t38 @t40)) % 0.20/0.53 (define @t43 () (and @t42 @t41)) % 0.20/0.53 (define @t44 () (forall (@list @t38 @t40 @t37) (=> @t43 @t39))) % 0.20/0.53 (define @t45 () (forall (@list @t38 @t40) (= (tptp.greater_or_equal @t38 @t40) (or @t42 (= @t38 @t40))))) % 0.20/0.53 (define @t46 () (tptp.greater (tptp.growth_rate tptp.efficient_producers @t1) (tptp.growth_rate tptp.first_movers @t1))) % 0.20/0.53 (define @t47 () (@var "Tc" $$unsorted)) % 0.20/0.53 (define @t48 () (tptp.greater @t1 @t47)) % 0.20/0.53 (define @t49 () (and @t20 @t48)) % 0.20/0.53 (define @t50 () (@list @t1)) % 0.20/0.53 (define @t51 () (forall @t50 (=> @t49 @t46))) % 0.20/0.53 (define @t52 () (not (tptp.greater (tptp.growth_rate tptp.efficient_producers @t47) (tptp.growth_rate tptp.first_movers @t47)))) % 0.20/0.53 (define @t53 () (and @t52 @t51)) % 0.20/0.53 (define @t54 () (= @t47 @t34)) % 0.20/0.53 (define @t55 () (and @t8 @t54)) % 0.20/0.53 (define @t56 () (=> @t55 @t53)) % 0.20/0.53 (define @t57 () (@list @t6 @t47)) % 0.20/0.53 (define @t58 () (forall @t57 @t56)) % 0.20/0.53 (define @t59 () (tptp.greater_or_equal @t1 @t33)) % 0.20/0.53 (define @t60 () (and @t8 @t24 @t59)) % 0.20/0.53 (define @t61 () (forall @t26 (=> @t60 @t21))) % 0.20/0.53 (define @t62 () (tptp.selection_favors tptp.efficient_producers tptp.first_movers @t1)) % 0.20/0.53 (define @t63 () (tptp.greater @t1 @t34)) % 0.20/0.53 (define @t64 () (and @t8 @t24 @t63)) % 0.20/0.53 (define @t65 () (forall @t26 (=> @t64 @t62))) % 0.20/0.53 (define @t66 () (not @t65)) % 0.20/0.53 (define @t67 () (not @t5)) % 0.20/0.53 (define @t68 () (not @t7)) % 0.20/0.53 (define @t69 () (not @t8)) % 0.20/0.53 (define @t70 () (or @t69 @t68 @t67 @t4)) % 0.20/0.53 (define @t71 () (or @t69 @t68 @t67)) % 0.20/0.53 (define @t72 () (@var "BOUND_VARIABLE_7584" $$unsorted)) % 0.20/0.53 (define @t73 () (tptp.greater (tptp.growth_rate tptp.efficient_producers @t72) (tptp.growth_rate tptp.first_movers @t72))) % 0.20/0.53 (define @t74 () (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t6 @t72))) % 0.20/0.53 (define @t75 () (and (not (tptp.greater (tptp.growth_rate tptp.efficient_producers @t34) (tptp.growth_rate tptp.first_movers @t34))) (or @t74 (not (tptp.greater @t72 @t34)) @t73))) % 0.20/0.53 (define @t76 () (not (= @t34 @t34))) % 0.20/0.53 (define @t77 () (or @t69 @t76 @t75)) % 0.20/0.53 (define @t78 () (@list @t6 @t72)) % 0.20/0.53 (define @t79 () (or @t74 (not (tptp.greater @t72 @t47)) @t73)) % 0.20/0.53 (define @t80 () (and @t52 @t79)) % 0.20/0.53 (define @t81 () (= @t34 @t47)) % 0.20/0.53 (define @t82 () (not @t81)) % 0.20/0.53 (define @t83 () (@list @t47)) % 0.20/0.53 (define @t84 () (or @t82 @t69 @t82 @t80)) % 0.20/0.53 (define @t85 () (or @t69 @t82 @t80)) % 0.20/0.53 (define @t86 () (forall @t83 @t85)) % 0.20/0.53 (define @t87 () (forall @t78 @t86)) % 0.20/0.53 (define @t88 () (forall (@list @t6 @t72 @t47) @t85)) % 0.20/0.53 (define @t89 () (forall (@list @t6 @t47 @t72) @t85)) % 0.20/0.53 (define @t90 () (@list @t72)) % 0.20/0.53 (define @t91 () (forall @t90 @t85)) % 0.20/0.53 (define @t92 () (forall @t90 @t79)) % 0.20/0.53 (define @t93 () (forall @t90 @t52)) % 0.20/0.53 (define @t94 () (and @t93 @t92)) % 0.20/0.53 (define @t95 () (forall @t90 @t80)) % 0.20/0.53 (define @t96 () (or @t69 @t82 @t95)) % 0.20/0.53 (define @t97 () (not @t48)) % 0.20/0.53 (define @t98 () (not @t20)) % 0.20/0.53 (define @t99 () (or @t98 @t97 @t46)) % 0.20/0.53 (define @t100 () (and @t52 (forall @t50 @t99))) % 0.20/0.53 (define @t101 () (or @t69 @t82 @t100)) % 0.20/0.53 (define @t102 () (and @t8 @t81)) % 0.20/0.53 (define @t103 () (not @t63)) % 0.20/0.53 (define @t104 () (not @t24)) % 0.20/0.53 (define @t105 () (or @t69 @t104 @t103 @t62)) % 0.20/0.53 (define @t106 () (forall @t26 @t105)) % 0.20/0.53 (define @t107 () (@quantifiers_skolemize @t106 1)) % 0.20/0.53 (define @t108 () (@quantifiers_skolemize @t106 0)) % 0.20/0.53 (define @t109 () (@list @t108 @t107)) % 0.20/0.53 (define @t110 () (or @t69 @t104 @t103)) % 0.20/0.53 (define @t111 () (tptp.environment @t108)) % 0.20/0.53 (define @t112 () (tptp.selection_favors tptp.efficient_producers tptp.first_movers @t107)) % 0.20/0.53 (define @t113 () (tptp.critical_point @t108)) % 0.20/0.53 (define @t114 () (tptp.greater @t107 @t113)) % 0.20/0.53 (define @t115 () (not @t114)) % 0.20/0.53 (define @t116 () (tptp.in_environment @t108 @t107)) % 0.20/0.53 (define @t117 () (not @t116)) % 0.20/0.53 (define @t118 () (not @t111)) % 0.20/0.53 (define @t119 () (or @t118 @t117 @t115 @t112)) % 0.20/0.53 (define @t120 () (@list true)) % 0.20/0.53 (define @t121 () (@list @t119)) % 0.20/0.53 (define @t122 () (tptp.greater (tptp.growth_rate tptp.efficient_producers @t107) (tptp.growth_rate tptp.first_movers @t107))) % 0.20/0.53 (define @t123 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t108 @t107)) % 0.20/0.53 (define @t124 () (not @t123)) % 0.20/0.53 (define @t125 () (or @t124 @t115 @t122)) % 0.20/0.53 (define @t126 () (and (not (tptp.greater (tptp.growth_rate tptp.efficient_producers @t113) (tptp.growth_rate tptp.first_movers @t113))) @t125)) % 0.20/0.53 (define @t127 () (or @t118 @t126)) % 0.20/0.53 (define @t128 () (@list false false)) % 0.20/0.53 (define @t129 () (@list false)) % 0.20/0.53 (define @t130 () (not @t21)) % 0.20/0.53 (define @t131 () (not @t23)) % 0.20/0.53 (define @t132 () (or @t69 @t104 @t131 @t130)) % 0.20/0.53 (define @t133 () (not @t59)) % 0.20/0.53 (define @t134 () (or @t69 @t104 @t133)) % 0.20/0.53 (define @t135 () (tptp.appear tptp.efficient_producers @t108)) % 0.20/0.53 (define @t136 () (not @t41)) % 0.20/0.53 (define @t137 () (not @t42)) % 0.20/0.53 (define @t138 () (tptp.greater @t107 @t135)) % 0.20/0.53 (define @t139 () (tptp.greater @t113 @t135)) % 0.20/0.53 (define @t140 () (not @t139)) % 0.20/0.53 (define @t141 () (or @t115 @t140 @t138)) % 0.20/0.53 (define @t142 () (tptp.greater_or_equal @t113 @t135)) % 0.20/0.53 (define @t143 () (or @t118 @t142)) % 0.20/0.53 (define @t144 () (= @t113 @t135)) % 0.20/0.53 (define @t145 () (or @t139 @t144)) % 0.20/0.53 (define @t146 () (= @t142 @t145)) % 0.20/0.53 (define @t147 () (not @t144)) % 0.20/0.53 (define @t148 () (not @t138)) % 0.20/0.53 (define @t149 () (or @t138 (= @t107 @t135))) % 0.20/0.53 (define @t150 () (tptp.greater_or_equal @t107 @t135)) % 0.20/0.53 (define @t151 () (= @t150 @t149)) % 0.20/0.53 (define @t152 () (tptp.greater (tptp.cardinality_at_time tptp.efficient_producers @t107) tptp.zero)) % 0.20/0.53 (define @t153 () (not @t150)) % 0.20/0.53 (define @t154 () (or @t118 @t117 @t153 @t152)) % 0.20/0.53 (define @t155 () (tptp.cardinality_at_time tptp.first_movers @t107)) % 0.20/0.53 (define @t156 () (tptp.greater @t155 tptp.zero)) % 0.20/0.53 (define @t157 () (or @t156 (= @t155 tptp.zero))) % 0.20/0.53 (define @t158 () (tptp.greater_or_equal @t155 tptp.zero)) % 0.20/0.53 (define @t159 () (= @t158 @t157)) % 0.20/0.53 (define @t160 () (= tptp.zero @t155)) % 0.20/0.53 (define @t161 () (or @t156 @t160)) % 0.20/0.53 (define @t162 () (= @t158 @t161)) % 0.20/0.53 (define @t163 () (or @t69 @t104)) % 0.20/0.53 (define @t164 () (not @t29)) % 0.20/0.53 (define @t165 () (or @t118 @t117 @t158)) % 0.20/0.53 (define @t166 () (@list false false false)) % 0.20/0.53 (define @t167 () (= tptp.zero @t13)) % 0.20/0.53 (define @t168 () (not @t167)) % 0.20/0.53 (define @t169 () (not @t14)) % 0.20/0.53 (define @t170 () (not @t15)) % 0.20/0.53 (define @t171 () (not @t16)) % 0.20/0.53 (define @t172 () (or @t69 @t171 @t170 @t169 @t168)) % 0.20/0.53 (define @t173 () (and @t8 @t16 @t15 @t14 @t167)) % 0.20/0.53 (define @t174 () (tptp.subpopulation tptp.efficient_producers @t108 @t107)) % 0.20/0.53 (define @t175 () (tptp.subpopulation tptp.first_movers @t108 @t107)) % 0.20/0.53 (define @t176 () (and @t175 @t174)) % 0.20/0.53 (define @t177 () (or @t118 @t117 @t176)) % 0.20/0.53 (define @t178 () (not @t176)) % 0.20/0.53 (define @t179 () (@list @t176)) % 0.20/0.53 (define @t180 () (not @t160)) % 0.20/0.53 (define @t181 () (not @t152)) % 0.20/0.53 (define @t182 () (not @t175)) % 0.20/0.53 (define @t183 () (not @t174)) % 0.20/0.53 (define @t184 () (or @t118 @t183 @t182 @t181 @t180 @t112)) % 0.20/0.53 (define @t185 () (@list true false)) % 0.20/0.53 (define @t186 () (not @t156)) % 0.20/0.53 (define @t187 () (or @t118 @t117 @t186 @t181 @t123)) % 0.20/0.53 (define @t188 () (not @t122)) % 0.20/0.53 (define @t189 () (or @t118 @t124 @t188 @t112)) % 0.20/0.53 (define @t190 () (not @t189)) % 0.20/0.53 (define @t191 () (forall @t10 @t70)) % 0.20/0.53 (assume @p1 @t11) % 0.20/0.53 (assume @p2 @t19) % 0.20/0.53 (assume @p3 @t27) % 0.20/0.53 (assume @p4 @t30) % 0.20/0.53 (assume @p5 @t32) % 0.20/0.53 (assume @p6 @t36) % 0.20/0.53 (assume @p7 @t44) % 0.20/0.53 (assume @p8 @t45) % 0.20/0.53 (assume @p9 @t58) % 0.20/0.53 (assume @p10 @t61) % 0.20/0.53 (assume @p11 @t66) % 0.20/0.53 (assume @p12 true) % 0.20/0.53 (step @p13 :rule aci_norm :args ((= (or @t71 @t4) @t70))) % 0.20/0.53 (step @p14 :rule refl :args (@t4)) % 0.20/0.53 (step @p15 :rule aci_norm :args ((= (or @t69 (or @t68 @t67)) @t71))) % 0.20/0.53 (step @p16 :rule bool-and-de-morgan :args (@t7 @t5 true)) % 0.20/0.53 (step @p17 :rule refl :args (@t69)) % 0.20/0.53 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or @t69 (not (and @t7 @t5))))) % 0.20/0.53 (step @p19 :rule bool-and-de-morgan :args (@t8 @t7 (and @t5))) % 0.20/0.53 (step @p20 :rule trans :premises (@p19 @p18)) % 0.20/0.53 (step @p21 :rule trans :premises (@p20 @p15)) % 0.20/0.53 (step @p22 :rule nary_cong :premises (@p21 @p14) :args ((or (not @t9) @t4))) % 0.20/0.53 (step @p23 :rule trans :premises (@p22 @p13)) % 0.20/0.53 (step @p24 :rule bool-impl-elim :args (@t9 @t4)) % 0.20/0.53 (step @p25 :rule trans :premises (@p24 @p23)) % 0.20/0.53 (step @p26 :rule cong :premises (@p25) :args (@t11)) % 0.20/0.53 (step @p27 :rule eq_resolve :premises (@p1 @p26)) % 0.20/0.53 (step @p28 :rule aci_norm :args ((= (or @t69 false @t75) (or @t69 @t75)))) % 0.20/0.53 (step @p29 :rule refl :args (@t75)) % 0.20/0.53 (step @p30 :rule evaluate :args ((not true))) % 0.20/0.53 (step @p31 :rule eq-refl :args (@t34)) % 0.20/0.53 (step @p32 :rule cong :premises (@p31) :args (@t76)) % 0.20/0.53 (step @p33 :rule trans :premises (@p32 @p30)) % 0.20/0.53 (step @p34 :rule refl :args (@t69)) % 0.20/0.53 (step @p35 :rule nary_cong :premises (@p34 @p33 @p29) :args (@t77)) % 0.20/0.53 (step @p36 :rule trans :premises (@p35 @p28)) % 0.20/0.53 (step @p37 :rule cong :premises (@p36) :args ((forall @t78 @t77))) % 0.20/0.53 (step @p38 :rule quant-var-elim-eq :args ((= (forall @t83 (or (not @t54) @t69 @t82 @t80)) @t77))) % 0.20/0.53 (step @p39 :rule refl :args (@t80)) % 0.20/0.53 (step @p40 :rule refl :args (@t82)) % 0.20/0.53 (step @p41 :rule eq-symm :args (@t34 @t47)) % 0.20/0.53 (step @p42 :rule cong :premises (@p41) :args (@t82)) % 0.20/0.53 (step @p43 :rule nary_cong :premises (@p42 @p17 @p40 @p39) :args (@t84)) % 0.20/0.53 (step @p44 :rule aci_norm :args ((= @t85 @t84))) % 0.20/0.53 (step @p45 :rule trans :premises (@p44 @p43)) % 0.20/0.53 (step @p46 :rule cong :premises (@p45) :args (@t86)) % 0.20/0.53 (step @p47 :rule trans :premises (@p46 @p38)) % 0.20/0.53 (step @p48 :rule cong :premises (@p47) :args (@t87)) % 0.20/0.53 (step @p49 :rule quant-merge-prenex :args ((= @t87 @t88))) % 0.20/0.53 (step @p50 :rule symm :premises (@p49)) % 0.20/0.53 (step @p51 :rule quant_var_reordering :args ((= @t89 @t88))) % 0.20/0.53 (step @p52 :rule trans 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@p268 :rule trans :premises (@p267 @p266)) % 0.20/0.53 (step @p269 :rule nary_cong :premises (@p17 @p268) :args ((or @t69 (not (and @t16 @t15 @t14 @t167))))) % 0.20/0.53 (step @p270 :rule bool-and-de-morgan :args (@t8 @t16 (and @t15 @t14 @t167))) % 0.20/0.53 (step @p271 :rule trans :premises (@p270 @p269)) % 0.20/0.53 (step @p272 :rule trans :premises (@p271 @p259)) % 0.20/0.53 (step @p273 :rule nary_cong :premises (@p272 @p258) :args ((or (not @t173) @t12))) % 0.20/0.53 (step @p274 :rule trans :premises (@p273 @p257)) % 0.20/0.53 (step @p275 :rule bool-impl-elim :args (@t173 @t12)) % 0.20/0.53 (step @p276 :rule trans :premises (@p275 @p274)) % 0.20/0.53 (step @p277 :rule cong :premises (@p276) :args ((forall @t10 (=> @t173 @t12)))) % 0.20/0.53 (step @p278 :rule refl :args (@t12)) % 0.20/0.53 (step @p279 :rule eq-symm :args (@t13 tptp.zero)) % 0.20/0.53 (step @p280 :rule refl :args (@t14)) % 0.20/0.53 (step @p281 :rule refl :args (@t15)) % 0.20/0.53 (step @p282 :rule refl :args (@t16)) % 0.20/0.53 (step @p283 :rule nary_cong :premises (@p87 @p282 @p281 @p280 @p279) :args (@t17)) % 0.20/0.53 (step @p284 :rule cong :premises (@p283 @p278) :args (@t18)) % 0.20/0.53 (step @p285 :rule cong :premises (@p284) :args (@t19)) % 0.20/0.53 (step @p286 :rule trans :premises (@p285 @p277)) % 0.20/0.53 (step @p287 :rule eq_resolve :premises (@p2 @p286)) % 0.20/0.53 (step @p288 :rule instantiate :premises (@p287) :args ((@list @t108 tptp.efficient_producers tptp.first_movers @t107))) % 0.20/0.53 (step @p289 :rule aci_norm :args ((= (or @t163 @t31) (or @t69 @t104 @t31)))) % 0.20/0.53 (step @p290 :rule refl :args (@t31)) % 0.20/0.53 (step @p291 :rule nary_cong :premises (@p243 @p290) :args ((or @t164 @t31))) % 0.20/0.53 (step @p292 :rule trans :premises (@p291 @p289)) % 0.20/0.53 (step @p293 :rule bool-impl-elim :args (@t29 @t31)) % 0.20/0.53 (step @p294 :rule trans :premises (@p293 @p292)) % 0.20/0.53 (step @p295 :rule cong :premises (@p294) :args (@t32)) % 0.20/0.53 (step @p296 :rule eq_resolve :premises (@p5 @p295)) % 0.20/0.53 (step @p297 :rule instantiate :premises (@p296) :args (@t109)) % 0.20/0.53 (step @p298 :rule cnf_or_pos :args (@t177)) % 0.20/0.53 (step @p299 :rule reordering :premises (@p298) :args ((or @t118 @t117 @t176 (not @t177)))) % 0.20/0.53 (step @p300 :rule chain_m_resolution :premises (@p299 @p116 @p223 @p297) :args (@t176 @t166 (@list @t111 @t116 @t177))) % 0.20/0.53 (step @p301 :rule cnf_and_pos :args (@t176 1)) % 0.20/0.53 (step @p302 :rule reordering :premises (@p301) :args ((or @t174 @t178))) % 0.20/0.53 (step @p303 :rule chain_m_resolution :premises (@p302 @p300) :args (@t174 @t129 @t179)) % 0.20/0.53 (step @p304 :rule cnf_and_pos :args (@t176 0)) % 0.20/0.53 (step @p305 :rule reordering :premises (@p304) :args ((or @t175 @t178))) % 0.20/0.53 (step @p306 :rule chain_m_resolution :premises (@p305 @p300) :args (@t175 @t129 @t179)) % 0.20/0.53 (step @p307 :rule cnf_or_neg :args (@t119 3)) % 0.20/0.53 (step @p308 :rule chain_m_resolution :premises (@p307 @p109) :args ((not @t112) @t120 @t121)) % 0.20/0.53 (step @p309 :rule cnf_or_pos :args (@t184)) % 0.20/0.53 (step @p310 :rule reordering :premises (@p309) :args ((or @t118 @t112 @t181 @t182 @t183 @t180 (not @t184)))) % 0.20/0.53 (step @p311 :rule chain_m_resolution :premises (@p310 @p116 @p308 @p226 @p306 @p303 @p288) :args (@t180 (@list false true false false false false) (@list @t111 @t112 @t152 @t175 @t174 @t184))) % 0.20/0.53 (step @p312 :rule cnf_or_pos :args (@t161)) % 0.20/0.53 (step @p313 :rule reordering :premises (@p312) :args ((or @t156 @t160 (not @t161)))) % 0.20/0.53 (step @p314 :rule chain_m_resolution :premises (@p313 @p311 @p256) :args (@t156 @t185 (@list @t160 @t161))) % 0.20/0.53 (step @p315 :rule cnf_or_pos :args (@t187)) % 0.20/0.53 (step @p316 :rule reordering :premises (@p315) :args ((or @t118 @t117 @t186 @t181 @t123 (not @t187)))) % 0.20/0.53 (step @p317 :rule chain_m_resolution :premises (@p316 @p116 @p223 @p314 @p226 @p141) :args (@t123 (@list false false false false false) (@list @t111 @t116 @t156 @t152 @t187))) % 0.20/0.53 (step @p318 :rule cnf_or_pos :args (@t125)) % 0.20/0.53 (step @p319 :rule reordering :premises (@p318) :args ((or @t115 @t124 @t122 (not @t125)))) % 0.20/0.53 (step @p320 :rule chain_m_resolution :premises (@p319 @p163 @p317 @p122) :args (@t122 @t166 (@list @t114 @t123 @t125))) % 0.20/0.53 (step @p321 :rule cnf_or_pos :args (@t189)) % 0.20/0.53 (step @p322 :rule reordering :premises (@p321) :args ((or @t118 @t112 @t124 @t188 @t190))) % 0.20/0.53 (step @p323 :rule chain_m_resolution :premises (@p322 @p116 @p308 @p317 @p320) :args (@t190 (@list false true false false) (@list @t111 @t112 @t123 @t122))) % 0.20/0.53 (assume-push @p338 @t191) % 0.20/0.53 (step @p325 :rule instantiate :premises (@p27) :args ((@list @t108 tptp.first_movers tptp.efficient_producers @t107))) % 0.20/0.53 (step-pop @p339 :rule scope :premises (@p325)) % 0.20/0.53 (step @p326 :rule process_scope :premises (@p339) :args (@t189)) % 0.20/0.53 (step @p328 :rule implies_elim :premises (@p326)) % 0.20/0.53 (step @p329 false :rule chain_m_resolution :premises (@p328 @p323 @p27) :args (false @t185 (@list @t189 @t191))) % 0.20/0.53 ) % 0.20/0.53 % SZS output end Proof % 0.20/0.53 % cvc5 exiting %------------------------------------------------------------------------------