%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT039+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 : n019.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 06:04:49 AM UTC 2026 % Result : Theorem 18.49s 19.02s % Output : Proof 18.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT039+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 % 0.10/0.36 % Computer : n019.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Mon Sep 7 12:54:37 UTC 2026 % 0.14/0.36 % CPUTime : % 0.14/0.43 %----Proving TF0_NAR, FOF, or CNF % 18.49/19.02 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 18.49/19.02 --- Run --no-e-matching --full-saturate-quant at 6... % 18.49/19.02 % SZS status Theorem % 18.49/19.02 % SZS output start Proof % 18.49/19.02 ( % 18.49/19.02 (declare-sort $$unsorted 0) % 18.49/19.02 (declare-const tptp.slow_change (-> $$unsorted Bool)) % 18.49/19.02 (declare-const tptp.critical_point (-> $$unsorted $$unsorted)) % 18.49/19.02 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 18.49/19.02 (declare-const tptp.observational_period (-> $$unsorted Bool)) % 18.49/19.02 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 18.49/19.02 (declare-const tptp.propagation_strategy (-> $$unsorted Bool)) % 18.49/19.02 (declare-const tptp.environment (-> $$unsorted Bool)) % 18.49/19.02 (declare-const tptp.in_environment (-> $$unsorted $$unsorted Bool)) % 18.49/19.02 (declare-const tptp.end_time (-> $$unsorted $$unsorted)) % 18.49/19.02 (declare-const tptp.selection_favors (-> $$unsorted $$unsorted $$unsorted Bool)) % 18.49/19.02 (declare-const tptp.efficient_producers $$unsorted) % 18.49/19.02 (declare-const tptp.start_time (-> $$unsorted $$unsorted)) % 18.49/19.02 (declare-const tptp.first_movers $$unsorted) % 18.49/19.02 (define @t1 () (@var "P" $$unsorted)) % 18.49/19.02 (define @t2 () (tptp.selection_favors tptp.efficient_producers tptp.first_movers @t1)) % 18.49/19.02 (define @t3 () (@var "E" $$unsorted)) % 18.49/19.02 (define @t4 () (tptp.end_time @t3)) % 18.49/19.02 (define @t5 () (tptp.selection_favors tptp.efficient_producers tptp.first_movers @t4)) % 18.49/19.02 (define @t6 () (tptp.in_environment @t1 @t3)) % 18.49/19.02 (define @t7 () (tptp.environment @t3)) % 18.49/19.02 (define @t8 () (and @t7 @t6)) % 18.49/19.02 (define @t9 () (@list @t3)) % 18.49/19.02 (define @t10 () (forall @t9 (=> @t8 @t5))) % 18.49/19.02 (define @t11 () (tptp.propagation_strategy tptp.efficient_producers)) % 18.49/19.02 (define @t12 () (tptp.propagation_strategy tptp.first_movers)) % 18.49/19.02 (define @t13 () (tptp.observational_period @t1)) % 18.49/19.02 (define @t14 () (and @t13 @t12 @t11 @t10)) % 18.49/19.02 (define @t15 () (=> @t14 @t2)) % 18.49/19.02 (define @t16 () (@list @t1)) % 18.49/19.02 (define @t17 () (forall @t16 @t15)) % 18.49/19.02 (define @t18 () (tptp.critical_point @t3)) % 18.49/19.02 (define @t19 () (@var "T" $$unsorted)) % 18.49/19.02 (define @t20 () (tptp.greater @t19 @t18)) % 18.49/19.02 (define @t21 () (tptp.in_environment @t3 @t19)) % 18.49/19.02 (define @t22 () (and @t21 @t20)) % 18.49/19.02 (define @t23 () (@list @t19)) % 18.49/19.02 (define @t24 () (exists @t23 @t22)) % 18.49/19.02 (define @t25 () (=> @t8 @t24)) % 18.49/19.02 (define @t26 () (forall @t9 @t25)) % 18.49/19.02 (define @t27 () (tptp.slow_change @t1)) % 18.49/19.02 (define @t28 () (and @t13 @t27)) % 18.49/19.02 (define @t29 () (=> @t28 @t26)) % 18.49/19.02 (define @t30 () (forall @t16 @t29)) % 18.49/19.02 (define @t31 () (tptp.greater_or_equal @t4 @t19)) % 18.49/19.02 (define @t32 () (tptp.start_time @t3)) % 18.49/19.02 (define @t33 () (tptp.greater_or_equal @t19 @t32)) % 18.49/19.02 (define @t34 () (and @t7 @t33 @t31)) % 18.49/19.02 (define @t35 () (@list @t3 @t19)) % 18.49/19.02 (define @t36 () (forall @t35 (=> @t34 @t21))) % 18.49/19.02 (define @t37 () (and @t7 @t21)) % 18.49/19.02 (define @t38 () (forall @t35 (=> @t37 @t31))) % 18.49/19.02 (define @t39 () (tptp.greater_or_equal @t18 @t32)) % 18.49/19.02 (define @t40 () (forall @t9 (=> @t7 @t39))) % 18.49/19.02 (define @t41 () (@var "Z" $$unsorted)) % 18.49/19.02 (define @t42 () (@var "X" $$unsorted)) % 18.49/19.02 (define @t43 () (tptp.greater @t42 @t41)) % 18.49/19.02 (define @t44 () (@var "Y" $$unsorted)) % 18.49/19.02 (define @t45 () (tptp.greater @t44 @t41)) % 18.49/19.02 (define @t46 () (tptp.greater @t42 @t44)) % 18.49/19.02 (define @t47 () (and @t46 @t45)) % 18.49/19.02 (define @t48 () (@list @t42 @t44 @t41)) % 18.49/19.02 (define @t49 () (forall @t48 (=> @t47 @t43))) % 18.49/19.02 (define @t50 () (forall (@list @t42 @t44) (= (tptp.greater_or_equal @t42 @t44) (or @t46 (= @t42 @t44))))) % 18.49/19.02 (define @t51 () (tptp.selection_favors tptp.efficient_producers tptp.first_movers @t19)) % 18.49/19.02 (define @t52 () (and @t7 @t21 @t20)) % 18.49/19.02 (define @t53 () (forall @t35 (=> @t52 @t51))) % 18.49/19.02 (define @t54 () (forall @t16 (=> @t28 @t2))) % 18.49/19.02 (define @t55 () (not @t54)) % 18.49/19.02 (define @t56 () (not @t45)) % 18.49/19.02 (define @t57 () (not @t46)) % 18.49/19.02 (define @t58 () (or @t57 @t56 @t43)) % 18.49/19.02 (define @t59 () (not @t27)) % 18.49/19.02 (define @t60 () (not @t13)) % 18.49/19.02 (define @t61 () (or @t60 @t59 @t2)) % 18.49/19.02 (define @t62 () (@quantifiers_skolemize (forall @t16 @t61) 0)) % 18.49/19.02 (define @t63 () (not @t7)) % 18.49/19.02 (define @t64 () (forall @t9 (or @t63 (not (tptp.in_environment @t62 @t3)) @t5))) % 18.49/19.02 (define @t65 () (@quantifiers_skolemize @t64 0)) % 18.49/19.02 (define @t66 () (tptp.start_time @t65)) % 18.49/19.02 (define @t67 () (tptp.critical_point @t65)) % 18.49/19.02 (define @t68 () (not @t6)) % 18.49/19.02 (define @t69 () (or @t63 @t68 @t5)) % 18.49/19.02 (define @t70 () (forall @t9 @t69)) % 18.49/19.02 (define @t71 () (not @t70)) % 18.49/19.02 (define @t72 () (or @t60 @t71 @t2)) % 18.49/19.02 (define @t73 () (forall @t16 @t72)) % 18.49/19.02 (define @t74 () (not @t11)) % 18.49/19.02 (define @t75 () (not @t12)) % 18.49/19.02 (define @t76 () (or @t75 @t74 @t72)) % 18.49/19.02 (define @t77 () (or @t60 @t75 @t74 @t71 @t2)) % 18.49/19.02 (define @t78 () (or @t60 @t75 @t74 @t71)) % 18.49/19.02 (define @t79 () (and @t13 @t12 @t11 @t70)) % 18.49/19.02 (define @t80 () (or @t63 @t68)) % 18.49/19.02 (define @t81 () (not @t8)) % 18.49/19.02 (define @t82 () (@list false false)) % 18.49/19.02 (define @t83 () (or @t60 @t59)) % 18.49/19.02 (define @t84 () (not @t28)) % 18.49/19.02 (define @t85 () (tptp.selection_favors tptp.efficient_producers tptp.first_movers @t62)) % 18.49/19.02 (define @t86 () (tptp.slow_change @t62)) % 18.49/19.02 (define @t87 () (not @t86)) % 18.49/19.02 (define @t88 () (tptp.observational_period @t62)) % 18.49/19.02 (define @t89 () (not @t88)) % 18.49/19.02 (define @t90 () (or @t89 @t87 @t85)) % 18.49/19.02 (define @t91 () (@list true)) % 18.49/19.02 (define @t92 () (@list @t90)) % 18.49/19.02 (define @t93 () (not @t64)) % 18.49/19.02 (define @t94 () (or @t89 @t93 @t85)) % 18.49/19.02 (define @t95 () (tptp.environment @t65)) % 18.49/19.02 (define @t96 () (tptp.end_time @t65)) % 18.49/19.02 (define @t97 () (tptp.selection_favors tptp.efficient_producers tptp.first_movers @t96)) % 18.49/19.02 (define @t98 () (tptp.in_environment @t62 @t65)) % 18.49/19.02 (define @t99 () (not @t98)) % 18.49/19.02 (define @t100 () (not @t95)) % 18.49/19.02 (define @t101 () (or @t100 @t99 @t97)) % 18.49/19.02 (define @t102 () (@list @t101)) % 18.49/19.02 (define @t103 () (tptp.greater_or_equal @t67 @t66)) % 18.49/19.02 (define @t104 () (or @t100 @t103)) % 18.49/19.02 (define @t105 () (= @t67 @t66)) % 18.49/19.02 (define @t106 () (tptp.greater @t67 @t66)) % 18.49/19.02 (define @t107 () (or @t106 @t105)) % 18.49/19.02 (define @t108 () (= @t103 @t107)) % 18.49/19.02 (define @t109 () (forall @t23 (or (not (tptp.in_environment @t65 @t19)) (not (tptp.greater @t19 @t67))))) % 18.49/19.02 (define @t110 () (@quantifiers_skolemize @t109 0)) % 18.49/19.02 (define @t111 () (not @t21)) % 18.49/19.02 (define @t112 () (@list @t65 @t110)) % 18.49/19.02 (define @t113 () (@var "BOUND_VARIABLE_7537" $$unsorted)) % 18.49/19.02 (define @t114 () (not (forall @t23 (or (not (tptp.in_environment @t113 @t19)) (not (tptp.greater @t19 (tptp.critical_point @t113))))))) % 18.49/19.02 (define @t115 () (not (tptp.in_environment @t1 @t113))) % 18.49/19.02 (define @t116 () (not (tptp.environment @t113))) % 18.49/19.02 (define @t117 () (or @t116 @t115 @t114)) % 18.49/19.02 (define @t118 () (or @t60 @t59 @t117)) % 18.49/19.02 (define @t119 () (forall (@list @t1 @t113) @t118)) % 18.49/19.02 (define @t120 () (@list @t113)) % 18.49/19.02 (define @t121 () (forall @t120 @t118)) % 18.49/19.02 (define @t122 () (forall @t120 @t117)) % 18.49/19.02 (define @t123 () (or @t60 @t59 @t122)) % 18.49/19.02 (define @t124 () (not @t20)) % 18.49/19.02 (define @t125 () (or @t111 @t124)) % 18.49/19.02 (define @t126 () (not (forall @t23 @t125))) % 18.49/19.02 (define @t127 () (or @t63 @t68 @t126)) % 18.49/19.02 (define @t128 () (forall @t9 @t127)) % 18.49/19.02 (define @t129 () (or @t60 @t59 @t128)) % 18.49/19.02 (define @t130 () (not @t22)) % 18.49/19.02 (define @t131 () (forall @t23 @t130)) % 18.49/19.02 (define @t132 () (not @t131)) % 18.49/19.02 (define @t133 () (not @t109)) % 18.49/19.02 (define @t134 () (or @t89 @t87 @t100 @t99 @t133)) % 18.49/19.02 (define @t135 () (tptp.in_environment @t65 @t110)) % 18.49/19.02 (define @t136 () (tptp.greater @t110 @t67)) % 18.49/19.02 (define @t137 () (not @t136)) % 18.49/19.02 (define @t138 () (not @t135)) % 18.49/19.02 (define @t139 () (or @t138 @t137)) % 18.49/19.02 (define @t140 () (@list @t139)) % 18.49/19.02 (define @t141 () (tptp.greater_or_equal @t96 @t110)) % 18.49/19.02 (define @t142 () (or @t100 @t138 @t141)) % 18.49/19.02 (define @t143 () (@list false false false)) % 18.49/19.02 (define @t144 () (= @t96 @t110)) % 18.49/19.02 (define @t145 () (tptp.greater @t96 @t110)) % 18.49/19.02 (define @t146 () (or @t145 @t144)) % 18.49/19.02 (define @t147 () (= @t141 @t146)) % 18.49/19.02 (define @t148 () (or @t63 @t111 @t124)) % 18.49/19.02 (define @t149 () (tptp.selection_favors tptp.efficient_producers tptp.first_movers @t110)) % 18.49/19.02 (define @t150 () (or @t100 @t138 @t137 @t149)) % 18.49/19.02 (define @t151 () (not @t97)) % 18.49/19.02 (define @t152 () (not @t144)) % 18.49/19.02 (define @t153 () (not @t149)) % 18.49/19.02 (define @t154 () (and @t151 @t144 @t149)) % 18.49/19.02 (define @t155 () (@list true false)) % 18.49/19.02 (define @t156 () (tptp.greater @t96 @t67)) % 18.49/19.02 (define @t157 () (not @t145)) % 18.49/19.02 (define @t158 () (or @t157 @t137 @t156)) % 18.49/19.02 (define @t159 () (not @t31)) % 18.49/19.02 (define @t160 () (not @t33)) % 18.49/19.02 (define @t161 () (or @t63 @t160 @t159)) % 18.49/19.02 (define @t162 () (@list @t65 @t96)) % 18.49/19.02 (define @t163 () (not @t156)) % 18.49/19.02 (define @t164 () (tptp.in_environment @t65 @t96)) % 18.49/19.02 (define @t165 () (not @t164)) % 18.49/19.02 (define @t166 () (or @t100 @t165 @t163 @t97)) % 18.49/19.02 (define @t167 () (tptp.greater_or_equal @t96 @t96)) % 18.49/19.02 (define @t168 () (tptp.greater @t96 @t96)) % 18.49/19.02 (define @t169 () (or @t168 (= @t96 @t96))) % 18.49/19.02 (define @t170 () (= @t167 @t169)) % 18.49/19.02 (define @t171 () (not @t167)) % 18.49/19.02 (define @t172 () (tptp.greater_or_equal @t96 @t66)) % 18.49/19.02 (define @t173 () (not @t172)) % 18.49/19.02 (define @t174 () (or @t100 @t173 @t171 @t164)) % 18.49/19.02 (define @t175 () (tptp.greater @t96 @t66)) % 18.49/19.02 (define @t176 () (or @t175 (= @t96 @t66))) % 18.49/19.02 (define @t177 () (= @t172 @t176)) % 18.49/19.02 (define @t178 () (not @t176)) % 18.49/19.02 (define @t179 () (not @t175)) % 18.49/19.02 (define @t180 () (not @t105)) % 18.49/19.02 (define @t181 () (and @t156 @t105 @t179)) % 18.49/19.02 (define @t182 () (not @t106)) % 18.49/19.02 (define @t183 () (or @t163 @t182 @t175)) % 18.49/19.02 (define @t184 () (not @t183)) % 18.49/19.02 (define @t185 () (forall @t48 @t58)) % 18.49/19.02 (assume @p1 @t17) % 18.49/19.02 (assume @p2 @t30) % 18.49/19.02 (assume @p3 @t12) % 18.49/19.02 (assume @p4 @t11) % 18.49/19.02 (assume @p5 @t36) % 18.49/19.02 (assume @p6 @t38) % 18.49/19.02 (assume @p7 @t40) % 18.49/19.02 (assume @p8 @t49) % 18.49/19.02 (assume @p9 @t50) % 18.49/19.02 (assume @p10 (forall @t35 (=> (and @t7 (tptp.greater @t19 @t32) (not (tptp.greater @t19 @t4))) @t31))) % 18.49/19.02 (assume @p11 @t53) % 18.49/19.02 (assume @p12 @t55) % 18.49/19.02 (assume @p13 true) % 18.49/19.02 (step @p14 :rule aci_norm :args ((= (or (or @t57 @t56) @t43) @t58))) % 18.49/19.02 (step @p15 :rule refl :args (@t43)) % 18.49/19.02 (step @p16 :rule bool-and-de-morgan :args (@t46 @t45 true)) % 18.49/19.02 (step @p17 :rule nary_cong :premises (@p16 @p15) :args ((or (not @t47) @t43))) % 18.49/19.02 (step @p18 :rule trans :premises (@p17 @p14)) % 18.49/19.02 (step @p19 :rule bool-impl-elim :args (@t47 @t43)) % 18.49/19.02 (step @p20 :rule trans :premises (@p19 @p18)) % 18.49/19.02 (step @p21 :rule cong :premises (@p20) :args (@t49)) % 18.49/19.02 (step @p22 :rule eq_resolve :premises (@p8 @p21)) % 18.49/19.02 (step @p23 :rule instantiate :premises (@p9) :args ((@list @t67 @t66))) % 18.49/19.02 (step @p24 :rule bool-impl-elim :args (@t7 @t39)) % 18.49/19.02 (step @p25 :rule cong :premises (@p24) :args (@t40)) % 18.49/19.02 (step @p26 :rule eq_resolve :premises (@p7 @p25)) % 18.49/19.02 (step @p27 :rule instantiate :premises (@p26) :args ((@list @t65))) % 18.49/19.02 (step @p28 :rule quant-miniscope-or :args ((= (forall @t16 @t76) (or @t75 @t74 @t73)))) % 18.49/19.02 (step @p29 :rule aci_norm :args ((= @t77 @t76))) % 18.49/19.02 (step @p30 :rule cong :premises (@p29) :args ((forall @t16 @t77))) % 18.49/19.02 (step @p31 :rule trans :premises (@p30 @p28)) % 18.49/19.02 (step @p32 :rule aci_norm :args ((= (or @t78 @t2) @t77))) % 18.49/19.02 (step @p33 :rule refl :args (@t2)) % 18.49/19.02 (step @p34 :rule aci_norm :args ((= (or @t60 (or @t75 (or @t74 @t71))) @t78))) % 18.49/19.02 (step @p35 :rule bool-and-de-morgan :args (@t11 @t70 true)) % 18.49/19.02 (step @p36 :rule refl :args (@t75)) % 18.49/19.02 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or @t75 (not (and @t11 @t70))))) % 18.49/19.02 (step @p38 :rule bool-and-de-morgan :args (@t12 @t11 (and @t70))) % 18.49/19.02 (step @p39 :rule trans :premises (@p38 @p37)) % 18.49/19.02 (step @p40 :rule refl :args (@t60)) % 18.49/19.02 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t60 (not (and @t12 @t11 @t70))))) % 18.49/19.02 (step @p42 :rule bool-and-de-morgan :args (@t13 @t12 (and @t11 @t70))) % 18.49/19.02 (step @p43 :rule trans :premises (@p42 @p41)) % 18.49/19.02 (step @p44 :rule trans :premises (@p43 @p34)) % 18.49/19.02 (step @p45 :rule nary_cong :premises (@p44 @p33) :args ((or (not @t79) @t2))) % 18.49/19.02 (step @p46 :rule trans :premises (@p45 @p32)) % 18.49/19.02 (step @p47 :rule bool-impl-elim :args (@t79 @t2)) % 18.49/19.02 (step @p48 :rule trans :premises (@p47 @p46)) % 18.49/19.02 (step @p49 :rule cong :premises (@p48) :args ((forall @t16 (=> @t79 @t2)))) % 18.49/19.02 (step @p50 :rule trans :premises (@p49 @p31)) % 18.49/19.02 (step @p51 :rule refl :args (@t2)) % 18.49/19.02 (step @p52 :rule aci_norm :args ((= (or @t80 @t5) @t69))) % 18.49/19.02 (step @p53 :rule refl :args (@t5)) % 18.49/19.02 (step @p54 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 18.49/19.02 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t81 @t5))) % 18.49/19.02 (step @p56 :rule trans :premises (@p55 @p52)) % 18.49/19.02 (step @p57 :rule bool-impl-elim :args (@t8 @t5)) % 18.49/19.02 (step @p58 :rule trans :premises (@p57 @p56)) % 18.49/19.02 (step @p59 :rule cong :premises (@p58) :args (@t10)) % 18.49/19.02 (step @p60 :rule refl :args (@t11)) % 18.49/19.02 (step @p61 :rule refl :args (@t12)) % 18.49/19.02 (step @p62 :rule refl :args (@t13)) % 18.49/19.02 (step @p63 :rule nary_cong :premises (@p62 @p61 @p60 @p59) :args (@t14)) % 18.49/19.02 (step @p64 :rule cong :premises (@p63 @p51) :args (@t15)) % 18.49/19.02 (step @p65 :rule cong :premises (@p64) :args (@t17)) % 18.49/19.02 (step @p66 :rule trans :premises (@p65 @p50)) % 18.49/19.02 (step @p67 :rule eq_resolve :premises (@p1 @p66)) % 18.49/19.02 (step @p68 :rule chain_m_resolution :premises (@p67 @p3 @p4) :args (@t73 @t82 (@list @t12 @t11))) % 18.49/19.02 (step @p69 :rule instantiate :premises (@p68) :args ((@list @t62))) % 18.49/19.02 (step @p70 :rule aci_norm :args ((= (or @t83 @t2) @t61))) % 18.49/19.02 (step @p71 :rule bool-and-de-morgan :args (@t13 @t27 true)) % 18.49/19.02 (step @p72 :rule nary_cong :premises (@p71 @p33) :args ((or @t84 @t2))) % 18.49/19.02 (step @p73 :rule trans :premises (@p72 @p70)) % 18.49/19.02 (step @p74 :rule bool-impl-elim :args (@t28 @t2)) % 18.49/19.02 (step @p75 :rule trans :premises (@p74 @p73)) % 18.49/19.02 (step @p76 :rule cong 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:rule bool-impl-elim :args (@t8 @t126)) % 18.49/19.02 (step @p143 :rule trans :premises (@p142 @p141)) % 18.49/19.02 (step @p144 :rule cong :premises (@p143) :args ((forall @t9 (=> @t8 @t126)))) % 18.49/19.02 (step @p145 :rule bool-and-de-morgan :args (@t21 @t20 true)) % 18.49/19.02 (step @p146 :rule cong :premises (@p145) :args (@t131)) % 18.49/19.02 (step @p147 :rule cong :premises (@p146) :args (@t132)) % 18.49/19.02 (step @p148 :rule exists-elim :args ((= @t24 @t132))) % 18.49/19.02 (step @p149 :rule trans :premises (@p148 @p147)) % 18.49/19.02 (step @p150 :rule refl :args (@t8)) % 18.49/19.02 (step @p151 :rule cong :premises (@p150 @p149) :args (@t25)) % 18.49/19.02 (step @p152 :rule cong :premises (@p151) :args (@t26)) % 18.49/19.02 (step @p153 :rule trans :premises (@p152 @p144)) % 18.49/19.02 (step @p154 :rule refl :args (@t28)) % 18.49/19.02 (step @p155 :rule cong :premises (@p154 @p153) :args (@t29)) % 18.49/19.02 (step @p156 :rule cong :premises (@p155) :args (@t30)) % 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@p170 :rule reordering :premises (@p169) :args ((or @t86 @t90))) % 18.49/19.02 (step @p171 :rule chain_m_resolution :premises (@p170 @p79) :args (@t86 @t91 @t92)) % 18.49/19.02 (step @p172 :rule cnf_or_pos :args (@t134)) % 18.49/19.02 (step @p173 :rule reordering :premises (@p172) :args ((or @t89 @t87 @t100 @t99 @t133 (not @t134)))) % 18.49/19.02 (step @p174 :rule chain_m_resolution :premises (@p173 @p88 @p171 @p99 @p165 @p159) :args (@t133 (@list false false false false false) (@list @t88 @t86 @t95 @t98 @t134))) % 18.49/19.02 (step @p175 :rule skolemize :premises (@p174)) % 18.49/19.02 (step @p176 :rule bool-double-not-elim :args (@t135)) % 18.49/19.02 (step @p177 :rule refl :args (@t139)) % 18.49/19.02 (step @p178 :rule nary_cong :premises (@p177 @p176) :args ((or @t139 (not @t138)))) % 18.49/19.02 (step @p179 :rule cnf_or_neg :args (@t139 0)) % 18.49/19.02 (step @p180 :rule eq_resolve :premises (@p179 @p178)) % 18.49/19.02 (step @p181 :rule reordering :premises (@p180) :args ((or 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:rule nary_cong :premises (@p192 @p145) :args ((or @t63 @t130))) % 18.49/19.02 (step @p194 :rule bool-and-de-morgan :args (@t7 @t21 (and @t20))) % 18.49/19.02 (step @p195 :rule trans :premises (@p194 @p193)) % 18.49/19.02 (step @p196 :rule trans :premises (@p195 @p191)) % 18.49/19.02 (step @p197 :rule nary_cong :premises (@p196 @p190) :args ((or (not @t52) @t51))) % 18.49/19.02 (step @p198 :rule trans :premises (@p197 @p189)) % 18.49/19.02 (step @p199 :rule bool-impl-elim :args (@t52 @t51)) % 18.49/19.02 (step @p200 :rule trans :premises (@p199 @p198)) % 18.49/19.02 (step @p201 :rule cong :premises (@p200) :args (@t53)) % 18.49/19.02 (step @p202 :rule eq_resolve :premises (@p11 @p201)) % 18.49/19.02 (step @p203 :rule instantiate :premises (@p202) :args (@t112)) % 18.49/19.02 (step @p204 :rule bool-double-not-elim :args (@t136)) % 18.49/19.02 (step @p205 :rule nary_cong :premises (@p177 @p204) :args ((or @t139 (not @t137)))) % 18.49/19.02 (step @p206 :rule cnf_or_neg :args (@t139 1)) % 18.49/19.02 (step @p207 :rule eq_resolve :premises (@p206 @p205)) % 18.49/19.02 (step @p208 :rule reordering :premises (@p207) :args ((or @t136 @t139))) % 18.49/19.02 (step @p209 :rule chain_m_resolution :premises (@p208 @p175) :args (@t136 @t91 @t140)) % 18.49/19.02 (step @p210 :rule cnf_or_pos :args (@t150)) % 18.49/19.02 (step @p211 :rule reordering :premises (@p210) :args ((or @t100 @t138 @t137 @t149 (not @t150)))) % 18.49/19.02 (step @p212 :rule chain_m_resolution :premises (@p211 @p99 @p182 @p209 @p203) :args (@t149 (@list false false false false) (@list @t95 @t135 @t136 @t150))) % 18.49/19.02 (step @p213 :rule cnf_or_neg :args (@t101 2)) % 18.49/19.02 (step @p214 :rule chain_m_resolution :premises (@p213 @p92) :args (@t151 @t91 @t102)) % 18.49/19.02 (step @p215 :rule refl :args (@t152)) % 18.49/19.02 (step @p216 :rule refl :args (@t153)) % 18.49/19.02 (step @p217 :rule bool-double-not-elim :args (@t97)) % 18.49/19.02 (step @p218 :rule nary_cong :premises (@p217 @p216 @p215) :args ((or (not @t151) @t153 @t152))) % 18.49/19.02 (assume-push @p347 @t151) % 18.49/19.02 (assume-push @p348 @t144) % 18.49/19.02 (assume-push @p349 @t149) % 18.49/19.02 (step @p222 :rule evaluate :args ((= true false))) % 18.49/19.02 (step @p223 :rule false_intro :premises (@p214)) % 18.49/19.02 (step @p224 :rule symm :premises (@p348)) % 18.49/19.02 (step @p225 :rule refl :args (tptp.first_movers)) % 18.49/19.02 (step @p226 :rule refl :args (tptp.efficient_producers)) % 18.49/19.02 (step @p227 :rule cong :premises (@p226 @p225 @p224) :args (@t149)) % 18.49/19.02 (step @p228 :rule true_intro :premises (@p212)) % 18.49/19.02 (step @p229 :rule symm :premises (@p228)) % 18.49/19.02 (step @p230 :rule trans :premises (@p229 @p227 @p223)) % 18.49/19.02 (step @p231 false :rule eq_resolve :premises (@p230 @p222)) % 18.49/19.02 (step-pop @p350 :rule scope :premises (@p231)) % 18.49/19.02 (step-pop @p351 :rule scope :premises (@p350)) % 18.49/19.02 (step-pop @p352 :rule scope :premises (@p351)) % 18.49/19.02 (step @p232 :rule process_scope :premises (@p352) :args (false)) % 18.49/19.02 (assume-push @p353 @t151) % 18.49/19.02 (assume-push @p354 @t149) % 18.49/19.02 (assume-push @p355 @t144) % 18.49/19.02 (step @p239 :rule and_intro :premises (@p214 @p355 @p212)) % 18.49/19.02 (step-pop @p356 :rule scope :premises (@p239)) % 18.49/19.02 (step-pop @p357 :rule scope :premises (@p356)) % 18.49/19.02 (step-pop @p358 :rule scope :premises (@p357)) % 18.49/19.02 (step @p240 :rule process_scope :premises (@p358) :args (@t154)) % 18.49/19.02 (step @p244 :rule implies_elim :premises (@p240)) % 18.49/19.02 (step @p245 :rule resolution :premises (@p244 @p232) :args (true @t154)) % 18.49/19.02 (step @p246 :rule not_and :premises (@p245)) % 18.49/19.02 (step @p247 :rule eq_resolve :premises (@p246 @p218)) % 18.49/19.02 (step @p248 :rule chain_m_resolution :premises (@p247 @p214 @p212) :args (@t152 @t155 (@list @t97 @t149))) % 18.49/19.02 (step @p249 :rule cnf_or_pos :args (@t146)) % 18.49/19.02 (step @p250 :rule reordering :premises (@p249) :args ((or @t145 @t144 (not @t146)))) % 18.49/19.02 (step @p251 :rule chain_m_resolution :premises (@p250 @p248 @p188) :args (@t145 @t155 (@list @t144 @t146))) % 18.49/19.02 (step @p252 :rule cnf_or_pos :args (@t158)) % 18.49/19.02 (step @p253 :rule reordering :premises (@p252) :args ((or @t137 @t156 @t157 (not @t158)))) % 18.49/19.02 (step @p254 :rule chain_m_resolution :premises (@p253 @p209 @p251 @p106) :args (@t156 @t143 (@list @t136 @t145 @t158))) % 18.49/19.02 (step @p255 :rule instantiate :premises (@p9) :args ((@list @t96 @t66))) % 18.49/19.02 (step @p256 :rule aci_norm :args ((= (or @t161 @t21) (or @t63 @t160 @t159 @t21)))) % 18.49/19.02 (step @p257 :rule refl :args (@t21)) % 18.49/19.02 (step @p258 :rule aci_norm :args ((= (or @t63 (or @t160 @t159)) @t161))) % 18.49/19.02 (step @p259 :rule bool-and-de-morgan :args (@t33 @t31 true)) % 18.49/19.02 (step @p260 :rule nary_cong :premises (@p192 @p259) :args ((or @t63 (not (and @t33 @t31))))) % 18.49/19.02 (step @p261 :rule bool-and-de-morgan :args (@t7 @t33 (and @t31))) % 18.49/19.02 (step @p262 :rule trans :premises (@p261 @p260)) % 18.49/19.02 (step @p263 :rule trans :premises (@p262 @p258)) % 18.49/19.02 (step @p264 :rule nary_cong :premises (@p263 @p257) :args ((or (not @t34) @t21))) % 18.49/19.02 (step @p265 :rule trans :premises (@p264 @p256)) % 18.49/19.02 (step @p266 :rule bool-impl-elim :args (@t34 @t21)) % 18.49/19.02 (step @p267 :rule trans :premises (@p266 @p265)) % 18.49/19.02 (step @p268 :rule cong :premises (@p267) :args (@t36)) % 18.49/19.02 (step @p269 :rule eq_resolve :premises (@p5 @p268)) % 18.49/19.02 (step @p270 :rule instantiate :premises (@p269) :args (@t162)) % 18.49/19.02 (step @p271 :rule instantiate :premises (@p202) :args (@t162)) % 18.49/19.02 (step @p272 :rule cnf_or_pos :args (@t166)) % 18.49/19.02 (step @p273 :rule reordering :premises (@p272) :args ((or @t100 @t97 @t165 @t163 (not @t166)))) % 18.49/19.02 (step @p274 :rule chain_m_resolution :premises (@p273 @p99 @p214 @p254 @p271) :args (@t165 (@list false true false false) (@list @t95 @t97 @t156 @t166))) % 18.49/19.02 (step @p275 :rule bool-eq-true :args (@t167)) % 18.49/19.02 (step @p276 :rule absorb :args ((= (or @t168 true) true))) % 18.49/19.02 (step @p277 :rule eq-refl :args (@t96)) % 18.49/19.02 (step @p278 :rule refl :args (@t168)) % 18.49/19.02 (step @p279 :rule nary_cong :premises (@p278 @p277) :args (@t169)) % 18.49/19.02 (step @p280 :rule trans :premises (@p279 @p276)) % 18.49/19.02 (step @p281 :rule refl :args (@t167)) % 18.49/19.02 (step @p282 :rule cong :premises (@p281 @p280) :args (@t170)) % 18.49/19.02 (step @p283 :rule trans :premises (@p282 @p275)) % 18.49/19.02 (step @p284 :rule refl :args (@t50)) % 18.49/19.02 (step @p285 :rule cong :premises (@p284 @p283) :args ((=> @t50 @t170))) % 18.49/19.02 (assume-push @p359 @t50) % 18.49/19.02 (step @p287 :rule instantiate :premises (@p9) :args ((@list @t96 @t96))) % 18.49/19.02 (step-pop @p360 :rule scope :premises (@p287)) % 18.49/19.02 (step @p288 :rule process_scope :premises (@p360) :args (@t170)) % 18.49/19.02 (step @p290 :rule eq_resolve :premises (@p288 @p285)) % 18.49/19.02 (step @p291 :rule implies_elim :premises (@p290)) % 18.49/19.02 (step @p292 :rule chain_m_resolution :premises (@p291 @p9) :args (@t167 (@list false) (@list @t50))) % 18.49/19.02 (step @p293 :rule cnf_or_pos :args (@t174)) % 18.49/19.02 (step @p294 :rule reordering :premises (@p293) :args ((or @t100 @t173 @t171 @t164 (not @t174)))) % 18.49/19.02 (step @p295 :rule chain_m_resolution :premises (@p294 @p99 @p292 @p274 @p270) :args (@t173 (@list false false true false) (@list @t95 @t167 @t164 @t174))) % 18.49/19.02 (step @p296 :rule cnf_equiv_pos2 :args (@t177)) % 18.49/19.02 (step @p297 :rule reordering :premises (@p296) :args ((or @t172 @t178 (not @t177)))) % 18.49/19.02 (step @p298 :rule chain_m_resolution :premises (@p297 @p295 @p255) :args (@t178 @t155 (@list @t172 @t177))) % 18.49/19.02 (step @p299 :rule cnf_or_neg :args (@t176 0)) % 18.49/19.02 (step @p300 :rule reordering :premises (@p299) :args ((or @t179 @t176))) % 18.49/19.02 (step @p301 :rule chain_m_resolution :premises (@p300 @p298) :args (@t179 @t91 (@list @t176))) % 18.49/19.02 (step @p302 :rule refl :args (@t180)) % 18.49/19.02 (step @p303 :rule refl :args (@t163)) % 18.49/19.02 (step @p304 :rule bool-double-not-elim :args (@t175)) % 18.49/19.02 (step @p305 :rule nary_cong :premises (@p304 @p303 @p302) :args ((or (not @t179) @t163 @t180))) % 18.49/19.02 (assume-push @p361 @t156) % 18.49/19.02 (assume-push @p362 @t105) % 18.49/19.02 (assume-push @p363 @t179) % 18.49/19.02 (step @p309 :rule evaluate :args ((= false true))) % 18.49/19.02 (step @p310 :rule true_intro :premises (@p361)) % 18.49/19.02 (step @p311 :rule symm :premises (@p362)) % 18.49/19.02 (step @p312 :rule refl :args (@t96)) % 18.49/19.02 (step @p313 :rule cong :premises (@p312 @p311) :args (@t175)) % 18.49/19.02 (step @p314 :rule false_intro :premises (@p363)) % 18.49/19.02 (step @p315 :rule symm :premises (@p314)) % 18.49/19.02 (step @p316 :rule trans :premises (@p315 @p313 @p310)) % 18.49/19.02 (step @p317 false :rule eq_resolve :premises (@p316 @p309)) % 18.49/19.02 (step-pop @p364 :rule scope :premises (@p317)) % 18.49/19.02 (step-pop @p365 :rule scope :premises (@p364)) % 18.49/19.02 (step-pop @p366 :rule scope :premises (@p365)) % 18.49/19.02 (step @p318 :rule process_scope :premises (@p366) :args (false)) % 18.49/19.02 (assume-push @p367 @t179) % 18.49/19.02 (assume-push @p368 @t156) % 18.49/19.02 (assume-push @p369 @t105) % 18.49/19.02 (step @p325 :rule and_intro :premises (@p368 @p369 @p367)) % 18.49/19.02 (step-pop @p370 :rule scope :premises (@p325)) % 18.49/19.02 (step-pop @p371 :rule scope :premises (@p370)) % 18.49/19.02 (step-pop @p372 :rule scope :premises (@p371)) % 18.49/19.02 (step @p326 :rule process_scope :premises (@p372) :args (@t181)) % 18.49/19.02 (step @p330 :rule implies_elim :premises (@p326)) % 18.49/19.02 (step @p331 :rule resolution :premises (@p330 @p318) :args (true @t181)) % 18.49/19.02 (step @p332 :rule not_and :premises (@p331)) % 18.49/19.02 (step @p333 :rule eq_resolve :premises (@p332 @p305)) % 18.49/19.02 (step @p334 :rule chain_m_resolution :premises (@p333 @p301 @p254) :args (@t180 @t155 (@list @t175 @t156))) % 18.49/19.02 (step @p335 :rule cnf_or_pos :args (@t107)) % 18.49/19.02 (step @p336 :rule reordering :premises (@p335) :args ((or @t106 @t105 (not @t107)))) % 18.49/19.02 (step @p337 :rule chain_m_resolution :premises (@p336 @p334 @p105) :args (@t106 @t155 (@list @t105 @t107))) % 18.49/19.02 (step @p338 :rule cnf_or_pos :args (@t183)) % 18.49/19.02 (step @p339 :rule reordering :premises (@p338) :args ((or @t175 @t163 @t182 @t184))) % 18.49/19.02 (step @p340 :rule chain_m_resolution :premises (@p339 @p301 @p254 @p337) :args (@t184 (@list true false false) (@list @t175 @t156 @t106))) % 18.49/19.03 (assume-push @p373 @t185) % 18.49/19.03 (step @p342 :rule instantiate :premises (@p22) :args ((@list @t96 @t67 @t66))) % 18.49/19.03 (step-pop @p374 :rule scope :premises (@p342)) % 18.49/19.03 (step @p343 :rule process_scope :premises (@p374) :args (@t183)) % 18.49/19.03 (step @p345 :rule implies_elim :premises (@p343)) % 18.49/19.03 (step @p346 false :rule chain_m_resolution :premises (@p345 @p340 @p22) :args (false @t155 (@list @t183 @t185))) % 18.49/19.03 ) % 18.49/19.03 % SZS output end Proof % 18.49/19.03 % cvc5 exiting %------------------------------------------------------------------------------