%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT037-1 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:04:49 AM UTC 2026 % Result : Unsatisfiable 0.18s 0.52s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT037-1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.34 % Computer : n018.cluster.edu % 0.08/0.34 % Model : x86_64 x86_64 % 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.34 % Memory : 8046.5625MB % 0.08/0.34 % OS : Linux 6.8.0-71-generic % 0.08/0.34 % CPULimit : 300 % 0.08/0.34 % WCLimit : 300 % 0.08/0.34 % DateTime : Mon Sep 7 12:46:07 UTC 2026 % 0.08/0.34 % CPUTime : % 0.12/0.42 %----Proving TF0_NAR, FOF, or CNF % 0.12/0.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.18/0.52 % SZS status Unsatisfiable % 0.18/0.52 % SZS output start Proof % 0.18/0.53 ( % 0.18/0.53 (declare-sort $$unsorted 0) % 0.18/0.53 (declare-const tptp.equilibrium (-> $$unsorted $$unsorted)) % 0.18/0.53 (declare-const tptp.first_movers $$unsorted) % 0.18/0.53 (declare-const tptp.resources (-> $$unsorted $$unsorted $$unsorted)) % 0.18/0.53 (declare-const tptp.decreases (-> $$unsorted Bool)) % 0.18/0.53 (declare-const tptp.subpopulation (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.18/0.53 (declare-const tptp.efficient_producers $$unsorted) % 0.18/0.53 (declare-const tptp.growth_rate (-> $$unsorted $$unsorted $$unsorted)) % 0.18/0.53 (declare-const tptp.resilience (-> $$unsorted $$unsorted)) % 0.18/0.53 (declare-const tptp.sk1 (-> $$unsorted $$unsorted $$unsorted)) % 0.18/0.53 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.18/0.53 (declare-const tptp.zero $$unsorted) % 0.18/0.53 (declare-const tptp.an_organisation $$unsorted) % 0.18/0.53 (declare-const tptp.sk4 $$unsorted) % 0.18/0.53 (declare-const tptp.cardinality_at_time (-> $$unsorted $$unsorted $$unsorted)) % 0.18/0.53 (declare-const tptp.in_environment (-> $$unsorted $$unsorted Bool)) % 0.18/0.53 (declare-const tptp.appear (-> $$unsorted $$unsorted $$unsorted)) % 0.18/0.53 (declare-const tptp.number_of_organizations (-> $$unsorted $$unsorted $$unsorted)) % 0.18/0.53 (declare-const tptp.sk3 $$unsorted) % 0.18/0.53 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.18/0.53 (declare-const tptp.sk2 (-> $$unsorted $$unsorted $$unsorted)) % 0.18/0.53 (declare-const tptp.constant (-> $$unsorted Bool)) % 0.18/0.53 (declare-const tptp.environment (-> $$unsorted Bool)) % 0.18/0.53 (define @t1 () (@var "A" $$unsorted)) % 0.18/0.53 (define @t2 () (tptp.appear tptp.efficient_producers @t1)) % 0.18/0.53 (define @t3 () (@var "B" $$unsorted)) % 0.18/0.53 (define @t4 () (tptp.sk1 @t3 @t1)) % 0.18/0.53 (define @t5 () (tptp.cardinality_at_time tptp.efficient_producers @t3)) % 0.18/0.53 (define @t6 () (= @t5 tptp.zero)) % 0.18/0.53 (define @t7 () (not @t6)) % 0.18/0.53 (define @t8 () (not (tptp.greater_or_equal @t3 @t2))) % 0.18/0.53 (define @t9 () (not (tptp.environment @t1))) % 0.18/0.53 (define @t10 () (@list @t1 @t3)) % 0.18/0.53 (define @t11 () (tptp.in_environment @t1 @t4)) % 0.18/0.53 (define @t12 () (or @t9 @t8 @t7 @t11)) % 0.18/0.53 (define @t13 () (forall @t10 @t12)) % 0.18/0.53 (define @t14 () (tptp.greater tptp.zero (tptp.growth_rate tptp.efficient_producers @t4))) % 0.18/0.53 (define @t15 () (or @t9 @t8 @t7 @t14)) % 0.18/0.53 (define @t16 () (forall @t10 @t15)) % 0.18/0.53 (define @t17 () (tptp.number_of_organizations @t1 @t3)) % 0.18/0.53 (define @t18 () (= @t17 tptp.zero)) % 0.18/0.53 (define @t19 () (tptp.appear tptp.an_organisation @t1)) % 0.18/0.53 (define @t20 () (tptp.greater @t19 @t3)) % 0.18/0.53 (define @t21 () (not @t20)) % 0.18/0.53 (define @t22 () (not (tptp.in_environment @t1 @t3))) % 0.18/0.53 (define @t23 () (or @t9 @t22 @t21 @t18)) % 0.18/0.53 (define @t24 () (forall @t10 @t23)) % 0.18/0.53 (define @t25 () (tptp.sk2 @t3 @t1)) % 0.18/0.53 (define @t26 () (tptp.decreases @t17)) % 0.18/0.53 (define @t27 () (@var "C" $$unsorted)) % 0.18/0.53 (define @t28 () (tptp.cardinality_at_time @t27 @t3)) % 0.18/0.53 (define @t29 () (not (tptp.subpopulation @t27 @t1 @t3))) % 0.18/0.53 (define @t30 () (not @t18)) % 0.18/0.53 (define @t31 () (or @t9 @t22 @t30 @t29 (= @t28 tptp.zero))) % 0.18/0.53 (define @t32 () (@list @t1 @t3 @t27)) % 0.18/0.53 (define @t33 () (forall @t32 @t31)) % 0.18/0.53 (define @t34 () (not (tptp.greater tptp.zero (tptp.growth_rate @t1 @t3)))) % 0.18/0.53 (define @t35 () (tptp.cardinality_at_time @t1 @t3)) % 0.18/0.53 (define @t36 () (not (= @t35 tptp.zero))) % 0.18/0.53 (define @t37 () (or @t36 @t34)) % 0.18/0.53 (define @t38 () (forall @t10 @t37)) % 0.18/0.53 (define @t39 () (tptp.greater @t5 tptp.zero)) % 0.18/0.53 (define @t40 () (or @t9 @t22 @t6 @t39)) % 0.18/0.53 (define @t41 () (forall @t10 @t40)) % 0.18/0.53 (define @t42 () (tptp.greater_or_equal @t3 @t19)) % 0.18/0.53 (define @t43 () (tptp.resources @t1 @t3)) % 0.18/0.53 (define @t44 () (tptp.decreases @t43)) % 0.18/0.53 (define @t45 () (tptp.greater (tptp.equilibrium @t1) @t3)) % 0.18/0.53 (define @t46 () (tptp.greater @t17 tptp.zero)) % 0.18/0.53 (define @t47 () (not @t46)) % 0.18/0.53 (define @t48 () (tptp.constant @t43)) % 0.18/0.53 (define @t49 () (@var "D" $$unsorted)) % 0.18/0.53 (define @t50 () (tptp.resilience tptp.first_movers)) % 0.18/0.53 (define @t51 () (tptp.resilience tptp.efficient_producers)) % 0.18/0.53 (define @t52 () (tptp.greater @t51 @t50)) % 0.18/0.53 (define @t53 () (= @t3 tptp.first_movers)) % 0.18/0.53 (define @t54 () (not (tptp.greater (tptp.cardinality_at_time @t3 @t27) tptp.zero))) % 0.18/0.53 (define @t55 () (not (tptp.subpopulation @t3 @t1 @t27))) % 0.18/0.53 (define @t56 () (or @t9 @t55 @t54 (= @t3 tptp.efficient_producers) @t53)) % 0.18/0.53 (define @t57 () (forall @t32 @t56)) % 0.18/0.53 (define @t58 () (tptp.environment tptp.sk3)) % 0.18/0.53 (define @t59 () (tptp.in_environment tptp.sk3 tptp.sk4)) % 0.18/0.53 (define @t60 () (tptp.greater_or_equal tptp.sk4 (tptp.appear tptp.efficient_producers tptp.sk3))) % 0.18/0.53 (define @t61 () (tptp.cardinality_at_time tptp.efficient_producers tptp.sk4)) % 0.18/0.53 (define @t62 () (tptp.greater @t61 tptp.zero)) % 0.18/0.53 (define @t63 () (@list tptp.sk3 tptp.sk4)) % 0.18/0.53 (define @t64 () (= tptp.zero @t61)) % 0.18/0.53 (define @t65 () (not @t59)) % 0.18/0.53 (define @t66 () (not @t58)) % 0.18/0.53 (define @t67 () (or @t66 @t65 @t64 @t62)) % 0.18/0.53 (define @t68 () (tptp.sk1 tptp.sk4 tptp.sk3)) % 0.18/0.53 (define @t69 () (tptp.in_environment tptp.sk3 @t68)) % 0.18/0.53 (define @t70 () (not @t64)) % 0.18/0.53 (define @t71 () (not @t60)) % 0.18/0.53 (define @t72 () (or @t66 @t71 @t70 @t69)) % 0.18/0.53 (define @t73 () (@list false false false false)) % 0.18/0.53 (define @t74 () (@list tptp.sk3 @t68)) % 0.18/0.53 (define @t75 () (tptp.number_of_organizations tptp.sk3 @t68)) % 0.18/0.53 (define @t76 () (tptp.sk2 @t68 tptp.sk3)) % 0.18/0.53 (define @t77 () (tptp.subpopulation @t76 tptp.sk3 @t68)) % 0.18/0.53 (define @t78 () (tptp.decreases @t75)) % 0.18/0.53 (define @t79 () (not @t69)) % 0.18/0.53 (define @t80 () (or @t66 @t79 @t78 @t77)) % 0.18/0.53 (define @t81 () (tptp.greater (tptp.cardinality_at_time @t76 @t68) tptp.zero)) % 0.18/0.53 (define @t82 () (or @t66 @t79 @t78 @t81)) % 0.18/0.53 (define @t83 () (tptp.greater tptp.zero (tptp.growth_rate @t76 @t68))) % 0.18/0.53 (define @t84 () (not @t83)) % 0.18/0.53 (define @t85 () (or @t66 @t79 @t78 @t84)) % 0.18/0.53 (define @t86 () (tptp.growth_rate tptp.efficient_producers @t68)) % 0.18/0.53 (define @t87 () (tptp.greater tptp.zero @t86)) % 0.18/0.53 (define @t88 () (or @t66 @t71 @t70 @t87)) % 0.18/0.53 (define @t89 () (= tptp.efficient_producers @t76)) % 0.18/0.53 (define @t90 () (not @t89)) % 0.18/0.53 (define @t91 () (not @t87)) % 0.18/0.53 (define @t92 () (= true false)) % 0.18/0.53 (define @t93 () (and @t84 @t89 @t87)) % 0.18/0.53 (define @t94 () (tptp.greater @t51 (tptp.resilience @t76))) % 0.18/0.53 (define @t95 () (not @t94)) % 0.18/0.53 (define @t96 () (or @t66 @t79 @t83 @t95 @t91)) % 0.18/0.53 (define @t97 () (not @t81)) % 0.18/0.53 (define @t98 () (not @t77)) % 0.18/0.53 (define @t99 () (or @t66 @t98 @t97 @t89 (= @t76 tptp.first_movers))) % 0.18/0.53 (define @t100 () (forall @t32 (or @t9 @t55 @t54 (= tptp.efficient_producers @t3) @t53))) % 0.18/0.53 (define @t101 () (= tptp.first_movers @t76)) % 0.18/0.53 (define @t102 () (or @t66 @t98 @t97 @t89 @t101)) % 0.18/0.53 (define @t103 () (not @t101)) % 0.18/0.53 (define @t104 () (not @t52)) % 0.18/0.53 (define @t105 () (and @t95 @t101 @t52)) % 0.18/0.53 (define @t106 () (not @t78)) % 0.18/0.53 (define @t107 () (tptp.constant @t75)) % 0.18/0.53 (define @t108 () (not @t107)) % 0.18/0.53 (define @t109 () (or @t108 @t106)) % 0.18/0.53 (define @t110 () (@list false false)) % 0.18/0.53 (define @t111 () (tptp.resources tptp.sk3 @t68)) % 0.18/0.53 (define @t112 () (tptp.decreases @t111)) % 0.18/0.53 (define @t113 () (not @t112)) % 0.18/0.53 (define @t114 () (or @t66 @t79 @t113 @t106)) % 0.18/0.53 (define @t115 () (tptp.subpopulation tptp.efficient_producers tptp.sk3 @t68)) % 0.18/0.53 (define @t116 () (or @t66 @t79 @t115)) % 0.18/0.53 (define @t117 () (= tptp.zero (tptp.cardinality_at_time tptp.efficient_producers @t68))) % 0.18/0.53 (define @t118 () (not @t117)) % 0.18/0.53 (define @t119 () (or @t118 @t91)) % 0.18/0.53 (define @t120 () (not @t115)) % 0.18/0.53 (define @t121 () (= tptp.zero @t75)) % 0.18/0.53 (define @t122 () (not @t121)) % 0.18/0.53 (define @t123 () (or @t66 @t79 @t122 @t120 @t117)) % 0.18/0.53 (define @t124 () (tptp.appear tptp.an_organisation tptp.sk3)) % 0.18/0.53 (define @t125 () (tptp.greater @t124 @t68)) % 0.18/0.53 (define @t126 () (not @t125)) % 0.18/0.53 (define @t127 () (or @t66 @t79 @t126 @t121)) % 0.18/0.53 (define @t128 () (@list false false true false)) % 0.18/0.53 (define @t129 () (tptp.greater_or_equal @t68 @t124)) % 0.18/0.53 (define @t130 () (or @t66 @t79 @t129 @t125)) % 0.18/0.53 (define @t131 () (tptp.greater @t75 tptp.zero)) % 0.18/0.53 (define @t132 () (not @t129)) % 0.18/0.53 (define @t133 () (or @t66 @t79 @t132 @t131)) % 0.18/0.53 (define @t134 () (tptp.greater (tptp.equilibrium tptp.sk3) @t68)) % 0.18/0.53 (define @t135 () (not @t134)) % 0.18/0.53 (define @t136 () (not @t131)) % 0.18/0.53 (define @t137 () (or @t66 @t79 @t136 @t135 @t112)) % 0.18/0.53 (define @t138 () (tptp.constant @t111)) % 0.18/0.53 (define @t139 () (or @t66 @t79 @t136 @t134 @t138)) % 0.18/0.53 (define @t140 () (not @t138)) % 0.18/0.53 (define @t141 () (or @t66 @t79 @t140 @t107)) % 0.18/0.53 (assume @p1 (forall @t10 (or @t9 @t8 @t7 (tptp.greater @t4 @t2)))) % 0.18/0.53 (assume @p2 @t13) % 0.18/0.53 (assume @p3 (forall @t10 (or @t9 @t8 @t7 (tptp.greater @t3 @t4)))) % 0.18/0.53 (assume @p4 @t16) % 0.18/0.53 (assume @p5 @t24) % 0.18/0.53 (assume @p6 (forall @t10 (or @t9 @t22 @t26 (tptp.subpopulation @t25 @t1 @t3)))) % 0.18/0.53 (assume @p7 (forall @t10 (or @t9 @t22 @t26 (tptp.greater (tptp.cardinality_at_time @t25 @t3) tptp.zero)))) % 0.18/0.53 (assume @p8 (forall @t10 (or @t9 @t22 @t26 (not (tptp.greater tptp.zero (tptp.growth_rate @t25 @t3)))))) % 0.18/0.53 (assume @p9 @t33) % 0.18/0.53 (assume @p10 (forall @t10 (or @t9 @t22 (tptp.subpopulation tptp.first_movers @t1 @t3)))) % 0.18/0.53 (assume @p11 (forall @t10 (or @t9 @t22 (tptp.subpopulation tptp.efficient_producers @t1 @t3)))) % 0.18/0.53 (assume @p12 @t38) % 0.18/0.53 (assume @p13 @t41) % 0.18/0.53 (assume @p14 (forall (@list @t1) (or (not (tptp.constant @t1)) (not (tptp.decreases @t1))))) % 0.18/0.53 (assume @p15 (forall @t10 (or @t9 @t22 @t42 @t20))) % 0.18/0.53 (assume @p16 (forall @t10 (or @t9 @t22 @t47 (not @t45) @t44))) % 0.18/0.53 (assume @p17 (forall @t10 (or @t9 @t22 @t47 @t45 @t48))) % 0.18/0.53 (assume @p18 (forall @t10 (or @t9 @t22 (not @t42) @t46))) % 0.18/0.53 (assume @p19 (forall @t10 (or @t9 @t22 (not @t44) (not @t26)))) % 0.18/0.53 (assume @p20 (forall @t10 (or @t9 @t22 (not @t48) (tptp.constant @t17)))) % 0.18/0.53 (assume @p21 (forall (@list @t1 @t3 @t27 @t49) (or @t9 @t22 (tptp.greater tptp.zero (tptp.growth_rate @t27 @t3)) (not (tptp.greater (tptp.resilience @t49) (tptp.resilience @t27))) (not (tptp.greater tptp.zero (tptp.growth_rate @t49 @t3)))))) % 0.18/0.53 (assume @p22 @t52) % 0.18/0.53 (assume @p23 @t57) % 0.18/0.53 (assume @p24 @t58) % 0.18/0.53 (assume @p25 @t59) % 0.18/0.53 (assume @p26 @t60) % 0.18/0.53 (assume @p27 (not @t62)) % 0.18/0.53 (step @p28 :rule refl :args (@t11)) % 0.18/0.53 (step @p29 :rule eq-symm :args (@t5 tptp.zero)) % 0.18/0.53 (step @p30 :rule cong :premises (@p29) :args (@t7)) % 0.18/0.53 (step @p31 :rule refl :args (@t8)) % 0.18/0.53 (step @p32 :rule refl :args (@t9)) % 0.18/0.53 (step @p33 :rule nary_cong :premises (@p32 @p31 @p30 @p28) :args (@t12)) % 0.18/0.53 (step @p34 :rule cong :premises (@p33) :args (@t13)) % 0.18/0.53 (step @p35 :rule eq_resolve :premises (@p2 @p34)) % 0.18/0.53 (step @p36 :rule instantiate :premises (@p35) :args (@t63)) % 0.18/0.53 (step @p37 :rule refl :args (@t39)) % 0.18/0.53 (step @p38 :rule refl :args (@t22)) % 0.18/0.53 (step @p39 :rule nary_cong :premises (@p32 @p38 @p29 @p37) :args (@t40)) % 0.18/0.53 (step @p40 :rule cong :premises (@p39) :args (@t41)) % 0.18/0.53 (step @p41 :rule eq_resolve :premises (@p13 @p40)) % 0.18/0.53 (step @p42 :rule instantiate :premises (@p41) :args (@t63)) % 0.18/0.53 (step @p43 :rule cnf_or_pos :args (@t67)) % 0.18/0.53 (step @p44 :rule reordering :premises (@p43) :args ((or @t62 @t66 @t65 @t64 (not @t67)))) % 0.18/0.53 (step @p45 :rule chain_m_resolution :premises (@p44 @p27 @p24 @p25 @p42) :args (@t64 (@list true false false false) (@list @t62 @t58 @t59 @t67))) % 0.18/0.53 (step @p46 :rule cnf_or_pos :args (@t72)) % 0.18/0.53 (step @p47 :rule reordering :premises (@p46) :args ((or @t66 @t71 @t70 @t69 (not @t72)))) % 0.18/0.53 (step @p48 :rule chain_m_resolution :premises (@p47 @p24 @p26 @p45 @p36) :args (@t69 @t73 (@list @t58 @t60 @t64 @t72))) % 0.18/0.53 (step @p49 :rule instantiate :premises (@p20) :args (@t74)) % 0.18/0.53 (step @p50 :rule instantiate :premises (@p14) :args ((@list @t75))) % 0.18/0.53 (step @p51 :rule instantiate :premises (@p6) :args (@t74)) % 0.18/0.53 (step @p52 :rule cnf_or_pos :args (@t80)) % 0.18/0.53 (step @p53 :rule reordering :premises (@p52) :args ((or @t66 @t79 @t78 @t77 (not @t80)))) % 0.18/0.53 (step @p54 :rule instantiate :premises (@p7) :args (@t74)) % 0.18/0.53 (step @p55 :rule cnf_or_pos :args (@t82)) % 0.18/0.53 (step @p56 :rule reordering :premises (@p55) :args ((or @t66 @t79 @t78 @t81 (not @t82)))) % 0.18/0.53 (step @p57 :rule instantiate :premises (@p8) :args (@t74)) % 0.18/0.53 (step @p58 :rule cnf_or_pos :args (@t85)) % 0.18/0.53 (step @p59 :rule reordering :premises (@p58) :args ((or @t66 @t79 @t78 @t84 (not @t85)))) % 0.18/0.53 (step @p60 :rule refl :args (@t14)) % 0.18/0.53 (step @p61 :rule nary_cong :premises (@p32 @p31 @p30 @p60) :args (@t15)) % 0.18/0.53 (step @p62 :rule cong :premises (@p61) :args (@t16)) % 0.18/0.53 (step @p63 :rule eq_resolve :premises (@p4 @p62)) % 0.18/0.53 (step @p64 :rule instantiate :premises (@p63) :args (@t63)) % 0.18/0.53 (step @p65 :rule cnf_or_pos :args (@t88)) % 0.18/0.53 (step @p66 :rule reordering :premises (@p65) :args ((or @t66 @t71 @t70 @t87 (not @t88)))) % 0.18/0.53 (step @p67 :rule chain_m_resolution :premises (@p66 @p24 @p26 @p45 @p64) :args (@t87 @t73 (@list @t58 @t60 @t64 @t88))) % 0.18/0.53 (step @p68 :rule refl :args (@t90)) % 0.18/0.53 (step @p69 :rule bool-double-not-elim :args (@t83)) % 0.18/0.53 (step @p70 :rule refl :args (@t91)) % 0.18/0.53 (step @p71 :rule nary_cong :premises (@p70 @p69 @p68) :args ((or @t91 (not @t84) @t90))) % 0.18/0.53 (assume-push @p219 @t84) % 0.18/0.53 (assume-push @p220 @t89) % 0.18/0.53 (assume-push @p221 @t87) % 0.18/0.53 (step @p75 :rule evaluate :args (@t92)) % 0.18/0.53 (step @p76 :rule false_intro :premises (@p219)) % 0.18/0.53 (step @p77 :rule refl :args (@t68)) % 0.18/0.53 (step @p78 :rule cong :premises (@p220 @p77) :args (@t86)) % 0.18/0.53 (step @p79 :rule refl :args (tptp.zero)) % 0.18/0.53 (step @p80 :rule cong :premises (@p79 @p78) :args (@t87)) % 0.18/0.53 (step @p81 :rule true_intro :premises (@p67)) % 0.18/0.53 (step @p82 :rule symm :premises (@p81)) % 0.18/0.53 (step @p83 :rule trans :premises (@p82 @p80 @p76)) % 0.18/0.53 (step @p84 false :rule eq_resolve :premises (@p83 @p75)) % 0.18/0.53 (step-pop @p222 :rule scope :premises (@p84)) % 0.18/0.53 (step-pop @p223 :rule scope :premises (@p222)) % 0.18/0.53 (step-pop @p224 :rule scope :premises (@p223)) % 0.18/0.53 (step @p85 :rule process_scope :premises (@p224) :args (false)) % 0.18/0.53 (assume-push @p225 @t87) % 0.18/0.53 (assume-push @p226 @t84) % 0.18/0.53 (assume-push @p227 @t89) % 0.18/0.53 (step @p92 :rule and_intro :premises (@p226 @p227 @p67)) % 0.18/0.53 (step-pop @p228 :rule scope :premises (@p92)) % 0.18/0.53 (step-pop @p229 :rule scope :premises (@p228)) % 0.18/0.53 (step-pop @p230 :rule scope :premises (@p229)) % 0.18/0.53 (step @p93 :rule process_scope :premises (@p230) :args (@t93)) % 0.18/0.53 (step @p97 :rule implies_elim :premises (@p93)) % 0.18/0.53 (step @p98 :rule resolution :premises (@p97 @p85) :args (true @t93)) % 0.18/0.53 (step @p99 :rule not_and :premises (@p98)) % 0.18/0.53 (step @p100 :rule eq_resolve :premises (@p99 @p71)) % 0.18/0.53 (step @p101 :rule instantiate :premises (@p21) :args ((@list tptp.sk3 @t68 @t76 tptp.efficient_producers))) % 0.18/0.53 (step @p102 :rule cnf_or_pos :args (@t96)) % 0.18/0.53 (step @p103 :rule reordering :premises (@p102) :args ((or @t66 @t79 @t91 @t83 @t95 (not @t96)))) % 0.18/0.53 (step @p104 :rule refl :args (@t53)) % 0.18/0.53 (step @p105 :rule eq-symm :args (@t3 tptp.efficient_producers)) % 0.18/0.53 (step @p106 :rule refl :args (@t54)) % 0.18/0.53 (step @p107 :rule refl :args (@t55)) % 0.18/0.53 (step @p108 :rule nary_cong :premises (@p32 @p107 @p106 @p105 @p104) :args (@t56)) % 0.18/0.53 (step @p109 :rule cong :premises (@p108) :args (@t57)) % 0.18/0.53 (step @p110 :rule eq_resolve :premises (@p23 @p109)) % 0.18/0.53 (step @p111 :rule eq-symm :args (@t76 tptp.first_movers)) % 0.18/0.53 (step @p112 :rule refl :args (@t89)) % 0.18/0.53 (step @p113 :rule refl :args (@t97)) % 0.18/0.53 (step @p114 :rule refl :args (@t98)) % 0.18/0.53 (step @p115 :rule refl :args (@t66)) % 0.18/0.53 (step @p116 :rule nary_cong :premises (@p115 @p114 @p113 @p112 @p111) :args (@t99)) % 0.18/0.53 (step @p117 :rule refl :args (@t100)) % 0.18/0.53 (step @p118 :rule cong :premises (@p117 @p116) :args ((=> @t100 @t99))) % 0.18/0.53 (assume-push @p231 @t100) % 0.18/0.53 (step @p120 :rule instantiate :premises (@p110) :args ((@list tptp.sk3 @t76 @t68))) % 0.18/0.53 (step-pop @p232 :rule scope :premises (@p120)) % 0.18/0.53 (step @p121 :rule process_scope :premises (@p232) :args (@t99)) % 0.18/0.53 (step @p123 :rule eq_resolve :premises (@p121 @p118)) % 0.18/0.53 (step @p124 :rule implies_elim :premises (@p123)) % 0.18/0.53 (step @p125 :rule chain_m_resolution :premises (@p124 @p110) :args (@t102 (@list false) (@list @t100))) % 0.18/0.53 (step @p126 :rule cnf_or_pos :args (@t102)) % 0.18/0.53 (step @p127 :rule reordering :premises (@p126) :args ((or @t66 @t98 @t97 @t89 @t101 (not @t102)))) % 0.18/0.53 (step @p128 :rule bool-double-not-elim :args (@t94)) % 0.18/0.53 (step @p129 :rule refl :args (@t103)) % 0.18/0.53 (step @p130 :rule refl :args (@t104)) % 0.18/0.53 (step @p131 :rule nary_cong :premises (@p130 @p129 @p128) :args ((or @t104 @t103 (not @t95)))) % 0.18/0.53 (assume-push @p233 @t95) % 0.18/0.53 (assume-push @p234 @t101) % 0.18/0.53 (assume-push @p235 @t52) % 0.18/0.53 (step @p75 :rule evaluate :args (@t92)) % 0.18/0.53 (step @p135 :rule false_intro :premises (@p233)) % 0.18/0.53 (step @p136 :rule cong :premises (@p234) :args (@t50)) % 0.18/0.53 (step @p137 :rule refl :args (@t51)) % 0.18/0.53 (step @p138 :rule cong :premises (@p137 @p136) :args (@t52)) % 0.18/0.53 (step @p139 :rule true_intro :premises (@p22)) % 0.18/0.53 (step @p140 :rule symm :premises (@p139)) % 0.18/0.53 (step @p141 :rule trans :premises (@p140 @p138 @p135)) % 0.18/0.53 (step @p142 false :rule eq_resolve :premises (@p141 @p75)) % 0.18/0.53 (step-pop @p236 :rule scope :premises (@p142)) % 0.18/0.53 (step-pop @p237 :rule scope :premises (@p236)) % 0.18/0.53 (step-pop @p238 :rule scope :premises (@p237)) % 0.18/0.53 (step @p143 :rule process_scope :premises (@p238) :args (false)) % 0.18/0.53 (assume-push @p239 @t52) % 0.18/0.53 (assume-push @p240 @t101) % 0.18/0.53 (assume-push @p241 @t95) % 0.18/0.53 (step @p150 :rule and_intro :premises (@p241 @p240 @p22)) % 0.18/0.53 (step-pop @p242 :rule scope :premises (@p150)) % 0.18/0.53 (step-pop @p243 :rule scope :premises (@p242)) % 0.18/0.53 (step-pop @p244 :rule scope :premises (@p243)) % 0.18/0.53 (step @p151 :rule process_scope :premises (@p244) :args (@t105)) % 0.18/0.53 (step @p155 :rule implies_elim :premises (@p151)) % 0.18/0.53 (step @p156 :rule resolution :premises (@p155 @p143) :args (true @t105)) % 0.18/0.53 (step @p157 :rule not_and :premises (@p156)) % 0.18/0.53 (step @p158 :rule eq_resolve :premises (@p157 @p131)) % 0.18/0.53 (step @p159 :rule chain_m_resolution :premises (@p158 @p22 @p127 @p125 @p24 @p103 @p101 @p67 @p48 @p24 @p100 @p67 @p59 @p57 @p48 @p24 @p56 @p54 @p48 @p24 @p53 @p51 @p48 @p24) :args (@t78 (@list false false false false true false false false false true false true false false false false false false false false false false false) (@list @t52 @t101 @t102 @t58 @t94 @t96 @t87 @t69 @t58 @t89 @t87 @t83 @t85 @t69 @t58 @t81 @t82 @t69 @t58 @t77 @t80 @t69 @t58))) % 0.18/0.53 (step @p160 :rule cnf_or_pos :args (@t109)) % 0.18/0.53 (step @p161 :rule reordering :premises (@p160) :args ((or @t106 @t108 (not @t109)))) % 0.18/0.53 (step @p162 :rule chain_m_resolution :premises (@p161 @p159 @p50) :args (@t108 @t110 (@list @t78 @t109))) % 0.18/0.53 (step @p163 :rule instantiate :premises (@p19) :args (@t74)) % 0.18/0.53 (step @p164 :rule cnf_or_pos :args (@t114)) % 0.18/0.53 (step @p165 :rule reordering :premises (@p164) :args ((or @t66 @t79 @t113 @t106 (not @t114)))) % 0.18/0.53 (step @p166 :rule chain_m_resolution :premises (@p165 @p24 @p48 @p159 @p163) :args (@t113 @t73 (@list @t58 @t69 @t78 @t114))) % 0.18/0.53 (step @p167 :rule instantiate :premises (@p18) :args (@t74)) % 0.18/0.53 (step @p168 :rule instantiate :premises (@p15) :args (@t74)) % 0.18/0.53 (step @p169 :rule eq-symm :args (@t17 tptp.zero)) % 0.18/0.53 (step @p170 :rule refl :args (@t21)) % 0.18/0.53 (step @p171 :rule nary_cong :premises (@p32 @p38 @p170 @p169) :args (@t23)) % 0.18/0.53 (step @p172 :rule cong :premises (@p171) :args (@t24)) % 0.18/0.53 (step @p173 :rule eq_resolve :premises (@p5 @p172)) % 0.18/0.53 (step @p174 :rule instantiate :premises (@p173) :args (@t74)) % 0.18/0.53 (step @p175 :rule eq-symm :args (@t28 tptp.zero)) % 0.18/0.53 (step @p176 :rule refl :args (@t29)) % 0.18/0.53 (step @p177 :rule cong :premises (@p169) :args (@t30)) % 0.18/0.53 (step @p178 :rule nary_cong :premises (@p32 @p38 @p177 @p176 @p175) :args (@t31)) % 0.18/0.53 (step @p179 :rule cong :premises (@p178) :args (@t33)) % 0.18/0.53 (step @p180 :rule eq_resolve :premises (@p9 @p179)) % 0.18/0.53 (step @p181 :rule instantiate :premises (@p180) :args ((@list tptp.sk3 @t68 tptp.efficient_producers))) % 0.18/0.53 (step @p182 :rule instantiate :premises (@p11) :args (@t74)) % 0.18/0.53 (step @p183 :rule cnf_or_pos :args (@t116)) % 0.18/0.53 (step @p184 :rule reordering :premises (@p183) :args ((or @t66 @t79 @t115 (not @t116)))) % 0.18/0.53 (step @p185 :rule chain_m_resolution :premises (@p184 @p24 @p48 @p182) :args (@t115 (@list false false false) (@list @t58 @t69 @t116))) % 0.18/0.53 (step @p186 :rule refl :args (@t34)) % 0.18/0.53 (step @p187 :rule eq-symm :args (@t35 tptp.zero)) % 0.18/0.53 (step @p188 :rule cong :premises (@p187) :args (@t36)) % 0.18/0.53 (step @p189 :rule nary_cong :premises (@p188 @p186) :args (@t37)) % 0.18/0.53 (step @p190 :rule cong :premises (@p189) :args (@t38)) % 0.18/0.53 (step @p191 :rule eq_resolve :premises (@p12 @p190)) % 0.18/0.53 (step @p192 :rule instantiate :premises (@p191) :args ((@list tptp.efficient_producers @t68))) % 0.18/0.53 (step @p193 :rule cnf_or_pos :args (@t119)) % 0.18/0.53 (step @p194 :rule reordering :premises (@p193) :args ((or @t91 @t118 (not @t119)))) % 0.18/0.53 (step @p195 :rule chain_m_resolution :premises (@p194 @p67 @p192) :args (@t118 @t110 (@list @t87 @t119))) % 0.18/0.53 (step @p196 :rule cnf_or_pos :args (@t123)) % 0.18/0.53 (step @p197 :rule reordering :premises (@p196) :args ((or @t66 @t79 @t117 @t122 @t120 (not @t123)))) % 0.18/0.53 (step @p198 :rule chain_m_resolution :premises (@p197 @p24 @p48 @p195 @p185 @p181) :args (@t122 (@list false false true false false) (@list @t58 @t69 @t117 @t115 @t123))) % 0.18/0.53 (step @p199 :rule cnf_or_pos :args (@t127)) % 0.18/0.53 (step @p200 :rule reordering :premises (@p199) :args ((or @t66 @t79 @t126 @t121 (not @t127)))) % 0.18/0.53 (step @p201 :rule chain_m_resolution :premises (@p200 @p24 @p48 @p198 @p174) :args (@t126 @t128 (@list @t58 @t69 @t121 @t127))) % 0.18/0.53 (step @p202 :rule cnf_or_pos :args (@t130)) % 0.18/0.53 (step @p203 :rule reordering :premises (@p202) :args ((or @t66 @t79 @t125 @t129 (not @t130)))) % 0.18/0.53 (step @p204 :rule chain_m_resolution :premises (@p203 @p24 @p48 @p201 @p168) :args (@t129 @t128 (@list @t58 @t69 @t125 @t130))) % 0.18/0.53 (step @p205 :rule cnf_or_pos :args (@t133)) % 0.18/0.53 (step @p206 :rule reordering :premises (@p205) :args ((or @t66 @t79 @t131 @t132 (not @t133)))) % 0.18/0.53 (step @p207 :rule chain_m_resolution :premises (@p206 @p24 @p48 @p204 @p167) :args (@t131 @t73 (@list @t58 @t69 @t129 @t133))) % 0.18/0.53 (step @p208 :rule instantiate :premises (@p16) :args (@t74)) % 0.18/0.53 (step @p209 :rule cnf_or_pos :args (@t137)) % 0.18/0.53 (step @p210 :rule reordering :premises (@p209) :args ((or @t66 @t79 @t136 @t135 @t112 (not @t137)))) % 0.18/0.53 (step @p211 :rule instantiate :premises (@p17) :args (@t74)) % 0.18/0.53 (step @p212 :rule cnf_or_pos :args (@t139)) % 0.18/0.53 (step @p213 :rule reordering :premises (@p212) :args ((or @t66 @t79 @t136 @t134 @t138 (not @t139)))) % 0.18/0.53 (step @p214 :rule chain_m_resolution :premises (@p213 @p211 @p48 @p24 @p210 @p208 @p48 @p24) :args ((or @t136 @t112 @t138) (@list false false false true false false false) (@list @t139 @t69 @t58 @t134 @t137 @t69 @t58))) % 0.18/0.53 (step @p215 :rule chain_m_resolution :premises (@p214 @p207 @p166) :args (@t138 (@list false true) (@list @t131 @t112))) % 0.18/0.53 (step @p216 :rule cnf_or_pos :args (@t141)) % 0.18/0.53 (step @p217 :rule reordering :premises (@p216) :args ((or @t66 @t79 @t140 @t107 (not @t141)))) % 0.18/0.53 (step @p218 false :rule chain_m_resolution :premises (@p217 @p215 @p162 @p49 @p48 @p24) :args (false (@list false true false false false) (@list @t138 @t107 @t141 @t69 @t58))) % 0.18/0.53 ) % 0.18/0.53 % SZS output end Proof % 0.18/0.53 % cvc5 exiting %------------------------------------------------------------------------------