%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT027+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 : n011.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 0.19s 0.55s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT027+1 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.05 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.09/0.36 % Computer : n011.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Mon Sep 7 12:13:45 UTC 2026 % 0.09/0.36 % CPUTime : % 0.09/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.19/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.19/0.55 % SZS status Theorem % 0.19/0.55 % SZS output start Proof % 0.19/0.55 ( % 0.19/0.55 (declare-sort $$unsorted 0) % 0.19/0.55 (declare-const tptp.environment (-> $$unsorted Bool)) % 0.19/0.55 (declare-const tptp.efficient_producers $$unsorted) % 0.19/0.55 (declare-const tptp.stable (-> $$unsorted Bool)) % 0.19/0.55 (declare-const tptp.subpopulations (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.55 (declare-const tptp.in_environment (-> $$unsorted $$unsorted Bool)) % 0.19/0.55 (declare-const tptp.cardinality_at_time (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.55 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.19/0.55 (declare-const tptp.appear (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.55 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.19/0.55 (declare-const tptp.zero $$unsorted) % 0.19/0.55 (declare-const tptp.growth_rate (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.55 (declare-const tptp.contracts_from (-> $$unsorted $$unsorted Bool)) % 0.19/0.55 (declare-const tptp.first_movers $$unsorted) % 0.19/0.55 (define @t1 () (@var "To" $$unsorted)) % 0.19/0.55 (define @t2 () (tptp.contracts_from @t1 tptp.first_movers)) % 0.19/0.55 (define @t3 () (@var "T" $$unsorted)) % 0.19/0.55 (define @t4 () (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers @t3))) % 0.19/0.55 (define @t5 () (tptp.greater_or_equal @t3 @t1)) % 0.19/0.55 (define @t6 () (tptp.greater (tptp.cardinality_at_time tptp.first_movers @t3) tptp.zero)) % 0.19/0.55 (define @t7 () (and @t6 @t5)) % 0.19/0.55 (define @t8 () (@list @t3)) % 0.19/0.55 (define @t9 () (forall @t8 (=> @t7 @t4))) % 0.19/0.55 (define @t10 () (@var "E" $$unsorted)) % 0.19/0.55 (define @t11 () (tptp.in_environment @t10 @t1)) % 0.19/0.55 (define @t12 () (tptp.stable @t10)) % 0.19/0.55 (define @t13 () (tptp.environment @t10)) % 0.19/0.55 (define @t14 () (and @t13 @t12 @t11 @t9)) % 0.19/0.55 (define @t15 () (=> @t14 @t2)) % 0.19/0.55 (define @t16 () (@list @t10 @t1)) % 0.19/0.55 (define @t17 () (forall @t16 @t15)) % 0.19/0.55 (define @t18 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t10 @t3)) % 0.19/0.55 (define @t19 () (tptp.greater (tptp.cardinality_at_time tptp.efficient_producers @t3) tptp.zero)) % 0.19/0.55 (define @t20 () (tptp.in_environment @t10 @t3)) % 0.19/0.55 (define @t21 () (and @t13 @t20 @t6 @t19)) % 0.19/0.55 (define @t22 () (@list @t10 @t3)) % 0.19/0.55 (define @t23 () (forall @t22 (=> @t21 @t18))) % 0.19/0.55 (define @t24 () (@var "T2" $$unsorted)) % 0.19/0.55 (define @t25 () (tptp.in_environment @t10 @t24)) % 0.19/0.55 (define @t26 () (@var "T1" $$unsorted)) % 0.19/0.55 (define @t27 () (tptp.greater @t24 @t26)) % 0.19/0.55 (define @t28 () (tptp.in_environment @t10 @t26)) % 0.19/0.55 (define @t29 () (and @t13 @t12 @t28 @t27)) % 0.19/0.55 (define @t30 () (forall (@list @t10 @t26 @t24) (=> @t29 @t25))) % 0.19/0.55 (define @t31 () (tptp.appear tptp.efficient_producers @t10)) % 0.19/0.55 (define @t32 () (tptp.in_environment @t10 @t31)) % 0.19/0.55 (define @t33 () (and @t13 @t12)) % 0.19/0.55 (define @t34 () (@list @t10)) % 0.19/0.55 (define @t35 () (forall @t34 (=> @t33 @t32))) % 0.19/0.55 (define @t36 () (@var "Z" $$unsorted)) % 0.19/0.55 (define @t37 () (@var "X" $$unsorted)) % 0.19/0.55 (define @t38 () (tptp.greater @t37 @t36)) % 0.19/0.55 (define @t39 () (@var "Y" $$unsorted)) % 0.19/0.55 (define @t40 () (tptp.greater @t39 @t36)) % 0.19/0.55 (define @t41 () (tptp.greater @t37 @t39)) % 0.19/0.55 (define @t42 () (and @t41 @t40)) % 0.19/0.55 (define @t43 () (forall (@list @t37 @t39 @t36) (=> @t42 @t38))) % 0.19/0.55 (define @t44 () (forall (@list @t37 @t39) (= (tptp.greater_or_equal @t37 @t39) (or @t41 (= @t37 @t39))))) % 0.19/0.55 (define @t45 () (tptp.greater_or_equal @t3 @t31)) % 0.19/0.55 (define @t46 () (and @t13 @t20 @t45)) % 0.19/0.55 (define @t47 () (forall @t22 (=> @t46 @t19))) % 0.19/0.55 (define @t48 () (and @t18 @t5)) % 0.19/0.55 (define @t49 () (forall @t8 (=> @t48 @t4))) % 0.19/0.55 (define @t50 () (tptp.greater @t1 @t31)) % 0.19/0.55 (define @t51 () (and @t50 @t49)) % 0.19/0.55 (define @t52 () (@list @t1)) % 0.19/0.55 (define @t53 () (exists @t52 @t51)) % 0.19/0.55 (define @t54 () (=> @t33 @t53)) % 0.19/0.55 (define @t55 () (forall @t34 @t54)) % 0.19/0.55 (define @t56 () (and @t50 @t2)) % 0.19/0.55 (define @t57 () (exists @t52 @t56)) % 0.19/0.55 (define @t58 () (=> @t33 @t57)) % 0.19/0.55 (define @t59 () (forall @t34 @t58)) % 0.19/0.55 (define @t60 () (not @t59)) % 0.19/0.55 (define @t61 () (not @t5)) % 0.19/0.55 (define @t62 () (not @t2)) % 0.19/0.55 (define @t63 () (not @t50)) % 0.19/0.55 (define @t64 () (not (forall @t52 (or @t63 @t62)))) % 0.19/0.55 (define @t65 () (not @t12)) % 0.19/0.55 (define @t66 () (not @t13)) % 0.19/0.55 (define @t67 () (or @t66 @t65 @t64)) % 0.19/0.55 (define @t68 () (@quantifiers_skolemize (forall @t34 @t67) 0)) % 0.19/0.55 (define @t69 () (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t68 @t3))) % 0.19/0.55 (define @t70 () (tptp.appear tptp.efficient_producers @t68)) % 0.19/0.55 (define @t71 () (not (tptp.greater @t1 @t70))) % 0.19/0.55 (define @t72 () (forall @t52 (or @t71 (not (forall @t8 (or @t69 @t61 @t4)))))) % 0.19/0.55 (define @t73 () (@quantifiers_skolemize @t72 0)) % 0.19/0.55 (define @t74 () (tptp.greater @t73 @t70)) % 0.19/0.55 (define @t75 () (or @t74 (= @t73 @t70))) % 0.19/0.55 (define @t76 () (tptp.greater_or_equal @t73 @t70)) % 0.19/0.55 (define @t77 () (= @t76 @t75)) % 0.19/0.55 (define @t78 () (or @t74 (= @t70 @t73))) % 0.19/0.55 (define @t79 () (= @t76 @t78)) % 0.19/0.55 (define @t80 () (@list false)) % 0.19/0.55 (define @t81 () (@list @t44)) % 0.19/0.55 (define @t82 () (not @t18)) % 0.19/0.55 (define @t83 () (or @t82 @t61 @t4)) % 0.19/0.55 (define @t84 () (forall @t8 @t83)) % 0.19/0.55 (define @t85 () (not (forall @t52 (or @t63 (not @t84))))) % 0.19/0.55 (define @t86 () (or @t66 @t65)) % 0.19/0.55 (define @t87 () (not @t33)) % 0.19/0.55 (define @t88 () (and @t50 @t84)) % 0.19/0.55 (define @t89 () (forall @t52 (not @t88))) % 0.19/0.55 (define @t90 () (not @t89)) % 0.19/0.55 (define @t91 () (@list @t68)) % 0.19/0.55 (define @t92 () (forall @t52 (not @t56))) % 0.19/0.55 (define @t93 () (not @t92)) % 0.19/0.55 (define @t94 () (tptp.stable @t68)) % 0.19/0.55 (define @t95 () (forall @t52 (or @t71 @t62))) % 0.19/0.55 (define @t96 () (not @t95)) % 0.19/0.55 (define @t97 () (not @t94)) % 0.19/0.55 (define @t98 () (tptp.environment @t68)) % 0.19/0.55 (define @t99 () (not @t98)) % 0.19/0.55 (define @t100 () (or @t99 @t97 @t96)) % 0.19/0.55 (define @t101 () (@list true)) % 0.19/0.55 (define @t102 () (@list @t100)) % 0.19/0.55 (define @t103 () (not @t72)) % 0.19/0.55 (define @t104 () (or @t99 @t97 @t103)) % 0.19/0.55 (define @t105 () (@list false false false)) % 0.19/0.55 (define @t106 () (not (tptp.greater_or_equal @t3 @t73))) % 0.19/0.55 (define @t107 () (forall @t8 (or @t69 @t106 @t4))) % 0.19/0.55 (define @t108 () (not @t107)) % 0.19/0.55 (define @t109 () (not @t74)) % 0.19/0.55 (define @t110 () (or @t109 @t108)) % 0.19/0.55 (define @t111 () (@list @t110)) % 0.19/0.55 (define @t112 () (@list false false)) % 0.19/0.55 (define @t113 () (not @t45)) % 0.19/0.55 (define @t114 () (not @t20)) % 0.19/0.55 (define @t115 () (or @t66 @t114 @t113)) % 0.19/0.55 (define @t116 () (not @t6)) % 0.19/0.55 (define @t117 () (forall @t8 (or @t116 @t106 @t4))) % 0.19/0.55 (define @t118 () (@quantifiers_skolemize @t117 0)) % 0.19/0.55 (define @t119 () (@list @t68 @t118)) % 0.19/0.55 (define @t120 () (not @t19)) % 0.19/0.55 (define @t121 () (or @t66 @t114 @t116 @t120)) % 0.19/0.55 (define @t122 () (not @t27)) % 0.19/0.55 (define @t123 () (not @t28)) % 0.19/0.55 (define @t124 () (or @t66 @t65 @t123 @t122)) % 0.19/0.55 (define @t125 () (tptp.in_environment @t68 @t70)) % 0.19/0.55 (define @t126 () (or @t99 @t97 @t125)) % 0.19/0.55 (define @t127 () (tptp.in_environment @t68 @t73)) % 0.19/0.55 (define @t128 () (not @t125)) % 0.19/0.55 (define @t129 () (or @t99 @t97 @t128 @t109 @t127)) % 0.19/0.55 (define @t130 () (tptp.in_environment @t68 @t118)) % 0.19/0.55 (define @t131 () (tptp.greater @t118 @t73)) % 0.19/0.55 (define @t132 () (not @t131)) % 0.19/0.55 (define @t133 () (not @t127)) % 0.19/0.55 (define @t134 () (or @t99 @t97 @t133 @t132 @t130)) % 0.19/0.55 (define @t135 () (or @t131 (= @t118 @t73))) % 0.19/0.55 (define @t136 () (tptp.greater_or_equal @t118 @t73)) % 0.19/0.55 (define @t137 () (= @t136 @t135)) % 0.19/0.55 (define @t138 () (= @t73 @t118)) % 0.19/0.55 (define @t139 () (or @t131 @t138)) % 0.19/0.55 (define @t140 () (= @t136 @t139)) % 0.19/0.55 (define @t141 () (or @t116 @t61 @t4)) % 0.19/0.55 (define @t142 () (forall @t8 @t141)) % 0.19/0.55 (define @t143 () (not @t142)) % 0.19/0.55 (define @t144 () (not @t11)) % 0.19/0.55 (define @t145 () (or @t66 @t65 @t144 @t143)) % 0.19/0.55 (define @t146 () (and @t13 @t12 @t11 @t142)) % 0.19/0.55 (define @t147 () (tptp.contracts_from @t73 tptp.first_movers)) % 0.19/0.55 (define @t148 () (not @t147)) % 0.19/0.55 (define @t149 () (or @t109 @t148)) % 0.19/0.55 (define @t150 () (not @t117)) % 0.19/0.55 (define @t151 () (or @t99 @t97 @t133 @t150 @t147)) % 0.19/0.55 (define @t152 () (@list false false true false false)) % 0.19/0.55 (define @t153 () (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers @t118))) % 0.19/0.55 (define @t154 () (not @t136)) % 0.19/0.55 (define @t155 () (tptp.greater (tptp.cardinality_at_time tptp.first_movers @t118) tptp.zero)) % 0.19/0.55 (define @t156 () (not @t155)) % 0.19/0.55 (define @t157 () (or @t156 @t154 @t153)) % 0.19/0.55 (define @t158 () (@list @t157)) % 0.19/0.55 (define @t159 () (not @t138)) % 0.19/0.55 (define @t160 () (not @t130)) % 0.19/0.55 (define @t161 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t68 @t118)) % 0.19/0.55 (define @t162 () (not @t161)) % 0.19/0.55 (define @t163 () (or @t162 @t154 @t153)) % 0.19/0.55 (define @t164 () (@list false true false)) % 0.19/0.55 (define @t165 () (tptp.greater (tptp.cardinality_at_time tptp.efficient_producers @t118) tptp.zero)) % 0.19/0.55 (define @t166 () (not @t165)) % 0.19/0.55 (define @t167 () (or @t99 @t160 @t156 @t166 @t161)) % 0.19/0.55 (define @t168 () (tptp.greater_or_equal @t118 @t70)) % 0.19/0.55 (define @t169 () (not @t168)) % 0.19/0.55 (define @t170 () (or @t99 @t160 @t169 @t165)) % 0.19/0.55 (define @t171 () (not @t40)) % 0.19/0.55 (define @t172 () (not @t41)) % 0.19/0.55 (define @t173 () (tptp.greater @t118 @t70)) % 0.19/0.55 (define @t174 () (or @t173 (= @t118 @t70))) % 0.19/0.55 (define @t175 () (= @t168 @t174)) % 0.19/0.55 (define @t176 () (or @t173 (= @t70 @t118))) % 0.19/0.55 (define @t177 () (= @t168 @t176)) % 0.19/0.55 (define @t178 () (not @t176)) % 0.19/0.55 (define @t179 () (@list true false)) % 0.19/0.55 (define @t180 () (not @t173)) % 0.19/0.55 (define @t181 () (or @t132 @t109 @t173)) % 0.19/0.55 (define @t182 () (not @t76)) % 0.19/0.55 (define @t183 () (and @t169 @t138 @t76)) % 0.19/0.55 (assume @p1 @t17) % 0.19/0.55 (assume @p2 @t23) % 0.19/0.55 (assume @p3 @t30) % 0.19/0.55 (assume @p4 @t35) % 0.19/0.55 (assume @p5 @t43) % 0.19/0.55 (assume @p6 @t44) % 0.19/0.55 (assume @p7 @t47) % 0.19/0.55 (assume @p8 @t55) % 0.19/0.55 (assume @p9 @t60) % 0.19/0.55 (assume @p10 true) % 0.19/0.55 (step @p11 :rule eq-symm :args (@t73 @t70)) % 0.19/0.55 (step @p12 :rule refl :args (@t74)) % 0.19/0.55 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t75)) % 0.19/0.55 (step @p14 :rule refl :args (@t76)) % 0.19/0.55 (step @p15 :rule cong :premises (@p14 @p13) :args (@t77)) % 0.19/0.55 (step @p16 :rule refl :args (@t44)) % 0.19/0.55 (step @p17 :rule cong :premises (@p16 @p15) :args ((=> @t44 @t77))) % 0.19/0.55 (assume-push @p359 @t44) % 0.19/0.55 (step @p19 :rule instantiate :premises (@p6) :args ((@list @t73 @t70))) % 0.19/0.55 (step-pop @p360 :rule scope :premises (@p19)) % 0.19/0.55 (step @p20 :rule process_scope :premises (@p360) :args (@t77)) % 0.19/0.55 (step @p22 :rule eq_resolve :premises (@p20 @p17)) % 0.19/0.55 (step @p23 :rule implies_elim :premises (@p22)) % 0.19/0.55 (step @p24 :rule chain_m_resolution :premises (@p23 @p6) :args (@t79 @t80 @t81)) % 0.19/0.55 (step @p25 :rule aci_norm :args ((= (or @t86 @t85) (or @t66 @t65 @t85)))) % 0.19/0.55 (step @p26 :rule refl :args (@t85)) % 0.19/0.55 (step @p27 :rule bool-and-de-morgan :args (@t13 @t12 true)) % 0.19/0.55 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or @t87 @t85))) % 0.19/0.55 (step @p29 :rule trans :premises (@p28 @p25)) % 0.19/0.55 (step @p30 :rule bool-impl-elim :args (@t33 @t85)) % 0.19/0.55 (step @p31 :rule trans :premises (@p30 @p29)) % 0.19/0.55 (step @p32 :rule cong :premises (@p31) :args ((forall @t34 (=> @t33 @t85)))) % 0.19/0.55 (step @p33 :rule bool-and-de-morgan :args (@t50 @t84 true)) % 0.19/0.55 (step @p34 :rule cong :premises (@p33) :args (@t89)) % 0.19/0.55 (step @p35 :rule cong :premises (@p34) :args (@t90)) % 0.19/0.55 (step @p36 :rule exists-elim :args ((= (exists @t52 @t88) @t90))) % 0.19/0.55 (step @p37 :rule trans :premises (@p36 @p35)) % 0.19/0.55 (step @p38 :rule aci_norm :args ((= (or (or @t82 @t61) @t4) @t83))) % 0.19/0.55 (step @p39 :rule refl :args (@t4)) % 0.19/0.55 (step @p40 :rule bool-and-de-morgan :args (@t18 @t5 true)) % 0.19/0.55 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or (not @t48) @t4))) % 0.19/0.55 (step @p42 :rule trans :premises (@p41 @p38)) % 0.19/0.55 (step @p43 :rule bool-impl-elim :args (@t48 @t4)) % 0.19/0.55 (step @p44 :rule trans :premises (@p43 @p42)) % 0.19/0.55 (step @p45 :rule cong :premises (@p44) :args (@t49)) % 0.19/0.55 (step @p46 :rule refl :args (@t50)) % 0.19/0.55 (step @p47 :rule nary_cong :premises (@p46 @p45) :args (@t51)) % 0.19/0.55 (step @p48 :rule cong :premises (@p47) :args (@t53)) % 0.19/0.55 (step @p49 :rule trans :premises (@p48 @p37)) % 0.19/0.55 (step @p50 :rule refl :args (@t33)) % 0.19/0.55 (step @p51 :rule cong :premises (@p50 @p49) :args (@t54)) % 0.19/0.55 (step @p52 :rule cong :premises (@p51) :args (@t55)) % 0.19/0.55 (step @p53 :rule trans :premises (@p52 @p32)) % 0.19/0.55 (step @p54 :rule eq_resolve :premises (@p8 @p53)) % 0.19/0.55 (step @p55 :rule instantiate :premises (@p54) :args (@t91)) % 0.19/0.55 (step @p56 :rule aci_norm :args ((= (or @t86 @t64) @t67))) % 0.19/0.55 (step @p57 :rule refl :args (@t64)) % 0.19/0.55 (step @p58 :rule nary_cong :premises (@p27 @p57) :args ((or @t87 @t64))) % 0.19/0.55 (step @p59 :rule trans :premises (@p58 @p56)) % 0.19/0.55 (step @p60 :rule bool-impl-elim :args (@t33 @t64)) % 0.19/0.55 (step @p61 :rule trans :premises (@p60 @p59)) % 0.19/0.55 (step @p62 :rule cong :premises (@p61) :args ((forall @t34 (=> @t33 @t64)))) % 0.19/0.55 (step @p63 :rule bool-and-de-morgan :args (@t50 @t2 true)) % 0.19/0.55 (step @p64 :rule cong :premises (@p63) :args (@t92)) % 0.19/0.55 (step @p65 :rule cong :premises (@p64) :args (@t93)) % 0.19/0.55 (step @p66 :rule exists-elim :args ((= @t57 @t93))) % 0.19/0.55 (step @p67 :rule trans :premises (@p66 @p65)) % 0.19/0.55 (step @p68 :rule cong :premises (@p50 @p67) :args (@t58)) % 0.19/0.55 (step @p69 :rule cong :premises (@p68) :args (@t59)) % 0.19/0.55 (step @p70 :rule trans :premises (@p69 @p62)) % 0.19/0.55 (step @p71 :rule cong :premises (@p70) :args (@t60)) % 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0.19/0.55 (step @p284 :rule nary_cong :premises (@p237 @p283) :args ((or @t157 (not @t156)))) % 0.19/0.55 (step @p285 :rule cnf_or_neg :args (@t157 0)) % 0.19/0.55 (step @p286 :rule eq_resolve :premises (@p285 @p284)) % 0.19/0.55 (step @p287 :rule reordering :premises (@p286) :args ((or @t155 @t157))) % 0.19/0.55 (step @p288 :rule chain_m_resolution :premises (@p287 @p235) :args (@t155 @t101 @t158)) % 0.19/0.55 (step @p289 :rule cnf_or_pos :args (@t167)) % 0.19/0.55 (step @p290 :rule reordering :premises (@p289) :args ((or @t99 @t156 @t161 @t160 @t166 (not @t167)))) % 0.19/0.55 (step @p291 :rule chain_m_resolution :premises (@p290 @p86 @p288 @p282 @p270 @p138) :args (@t166 @t152 (@list @t98 @t155 @t161 @t130 @t167))) % 0.19/0.55 (step @p292 :rule cnf_or_pos :args (@t170)) % 0.19/0.55 (step @p293 :rule reordering :premises (@p292) :args ((or @t99 @t160 @t165 @t169 (not @t170)))) % 0.19/0.55 (step @p294 :rule chain_m_resolution :premises (@p293 @p86 @p270 @p291 @p119) :args (@t169 (@list false false true false) (@list @t98 @t130 @t165 @t170))) % 0.19/0.55 (step @p295 :rule aci_norm :args ((= (or (or @t172 @t171) @t38) (or @t172 @t171 @t38)))) % 0.19/0.55 (step @p296 :rule refl :args (@t38)) % 0.19/0.55 (step @p297 :rule bool-and-de-morgan :args (@t41 @t40 true)) % 0.19/0.55 (step @p298 :rule nary_cong :premises (@p297 @p296) :args ((or (not @t42) @t38))) % 0.19/0.55 (step @p299 :rule trans :premises (@p298 @p295)) % 0.19/0.55 (step @p300 :rule bool-impl-elim :args (@t42 @t38)) % 0.19/0.55 (step @p301 :rule trans :premises (@p300 @p299)) % 0.19/0.55 (step @p302 :rule cong :premises (@p301) :args (@t43)) % 0.19/0.55 (step @p303 :rule eq_resolve :premises (@p5 @p302)) % 0.19/0.55 (step @p304 :rule instantiate :premises (@p303) :args ((@list @t118 @t73 @t70))) % 0.19/0.55 (step @p305 :rule eq-symm :args (@t118 @t70)) % 0.19/0.55 (step @p306 :rule refl :args (@t173)) % 0.19/0.55 (step @p307 :rule nary_cong :premises (@p306 @p305) :args (@t174)) % 0.19/0.55 (step @p308 :rule refl :args (@t168)) % 0.19/0.55 (step @p309 :rule cong :premises (@p308 @p307) :args (@t175)) % 0.19/0.55 (step @p310 :rule cong :premises (@p16 @p309) :args ((=> @t44 @t175))) % 0.19/0.55 (assume-push @p369 @t44) % 0.19/0.55 (step @p312 :rule instantiate :premises (@p6) :args ((@list @t118 @t70))) % 0.19/0.55 (step-pop @p370 :rule scope :premises (@p312)) % 0.19/0.55 (step @p313 :rule process_scope :premises (@p370) :args (@t175)) % 0.19/0.55 (step @p315 :rule eq_resolve :premises (@p313 @p310)) % 0.19/0.55 (step @p316 :rule implies_elim :premises (@p315)) % 0.19/0.55 (step @p317 :rule chain_m_resolution :premises (@p316 @p6) :args (@t177 @t80 @t81)) % 0.19/0.55 (step @p318 :rule cnf_equiv_pos2 :args (@t177)) % 0.19/0.55 (step @p319 :rule reordering :premises (@p318) :args ((or @t168 @t178 (not @t177)))) % 0.19/0.55 (step @p320 :rule chain_m_resolution :premises (@p319 @p294 @p317) :args (@t178 @t179 (@list @t168 @t177))) % 0.19/0.55 (step @p321 :rule cnf_or_neg :args (@t176 0)) % 0.19/0.55 (step @p322 :rule reordering :premises (@p321) :args ((or @t180 @t176))) % 0.19/0.55 (step @p323 :rule chain_m_resolution :premises (@p322 @p320) :args (@t180 @t101 (@list @t176))) % 0.19/0.55 (step @p324 :rule cnf_or_pos :args (@t181)) % 0.19/0.55 (step @p325 :rule reordering :premises (@p324) :args ((or @t109 @t132 @t173 (not @t181)))) % 0.19/0.55 (step @p326 :rule chain_m_resolution :premises (@p325 @p97 @p323 @p304) :args (@t132 @t164 (@list @t74 @t173 @t181))) % 0.19/0.55 (step @p327 :rule chain_m_resolution :premises (@p247 @p326 @p245) :args (@t138 @t179 (@list @t131 @t139))) % 0.19/0.55 (step @p328 :rule bool-double-not-elim :args (@t168)) % 0.30/0.56 (step @p329 :rule refl :args (@t182)) % 0.30/0.56 (step @p330 :rule nary_cong :premises (@p329 @p249 @p328) :args ((or @t182 @t159 (not @t169)))) % 0.30/0.56 (assume-push @p371 @t169) % 0.30/0.56 (assume-push @p372 @t138) % 0.30/0.56 (assume-push @p373 @t76) % 0.30/0.56 (step @p334 :rule evaluate :args ((= true false))) % 0.30/0.56 (step @p335 :rule false_intro :premises (@p371)) % 0.30/0.56 (step @p336 :rule refl :args (@t70)) % 0.30/0.56 (step @p337 :rule cong :premises (@p372 @p336) :args (@t76)) % 0.30/0.56 (step @p338 :rule true_intro :premises (@p103)) % 0.30/0.56 (step @p339 :rule symm :premises (@p338)) % 0.30/0.56 (step @p340 :rule trans :premises (@p339 @p337 @p335)) % 0.30/0.56 (step @p341 false :rule eq_resolve :premises (@p340 @p334)) % 0.30/0.56 (step-pop @p374 :rule scope :premises (@p341)) % 0.30/0.56 (step-pop @p375 :rule scope :premises (@p374)) % 0.30/0.56 (step-pop @p376 :rule scope :premises (@p375)) % 0.30/0.56 (step @p342 :rule process_scope :premises (@p376) :args (false)) % 0.30/0.56 (assume-push @p377 @t76) % 0.30/0.56 (assume-push @p378 @t138) % 0.30/0.56 (assume-push @p379 @t169) % 0.30/0.56 (step @p349 :rule and_intro :premises (@p379 @p378 @p103)) % 0.30/0.56 (step-pop @p380 :rule scope :premises (@p349)) % 0.30/0.56 (step-pop @p381 :rule scope :premises (@p380)) % 0.30/0.56 (step-pop @p382 :rule scope :premises (@p381)) % 0.30/0.56 (step @p350 :rule process_scope :premises (@p382) :args (@t183)) % 0.30/0.56 (step @p354 :rule implies_elim :premises (@p350)) % 0.30/0.56 (step @p355 :rule resolution :premises (@p354 @p342) :args (true @t183)) % 0.30/0.56 (step @p356 :rule not_and :premises (@p355)) % 0.30/0.56 (step @p357 :rule eq_resolve :premises (@p356 @p330)) % 0.30/0.56 (step @p358 false :rule chain_m_resolution :premises (@p357 @p327 @p294 @p103) :args (false @t164 (@list @t138 @t168 @t76))) % 0.30/0.56 ) % 0.30/0.56 % SZS output end Proof % 0.30/0.56 % cvc5 exiting %------------------------------------------------------------------------------