%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT034-2 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n027.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 06:04:47 AM UTC 2026 % Result : Unsatisfiable 0.19s 0.55s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT034-2 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.09/0.34 % Computer : n027.cluster.edu % 0.09/0.34 % Model : x86_64 x86_64 % 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.34 % Memory : 8046.5625MB % 0.09/0.34 % OS : Linux 6.8.0-71-generic % 0.09/0.34 % CPULimit : 300 % 0.09/0.34 % WCLimit : 300 % 0.09/0.34 % DateTime : Mon Sep 7 12:36:00 UTC 2026 % 0.09/0.34 % CPUTime : % 0.13/0.42 %----Proving TF0_NAR, FOF, or CNF % 0.13/0.43 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.19/0.55 % SZS status Unsatisfiable % 0.19/0.55 % SZS output start Proof % 0.19/0.56 ( % 0.19/0.56 (declare-sort $$unsorted 0) % 0.19/0.56 (declare-const tptp.cardinality_at_time (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.56 (declare-const tptp.start_time (-> $$unsorted $$unsorted)) % 0.19/0.56 (declare-const tptp.sk2 $$unsorted) % 0.19/0.56 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.19/0.56 (declare-const tptp.zero $$unsorted) % 0.19/0.56 (declare-const tptp.selection_favors (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.56 (declare-const tptp.efficient_producers $$unsorted) % 0.19/0.56 (declare-const tptp.growth_rate (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.56 (declare-const tptp.appear (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.56 (declare-const tptp.subpopulations (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.56 (declare-const tptp.environment (-> $$unsorted Bool)) % 0.19/0.56 (declare-const tptp.disbanding_rate (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.56 (declare-const tptp.first_movers $$unsorted) % 0.19/0.56 (declare-const tptp.founding_rate (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.56 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.56 (declare-const tptp.sk1 $$unsorted) % 0.19/0.56 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.19/0.56 (declare-const tptp.critical_point (-> $$unsorted $$unsorted)) % 0.19/0.56 (declare-const tptp.decreases (-> $$unsorted Bool)) % 0.19/0.56 (declare-const tptp.in_environment (-> $$unsorted $$unsorted Bool)) % 0.19/0.56 (define @t1 () (@var "D" $$unsorted)) % 0.19/0.56 (define @t2 () (@var "B" $$unsorted)) % 0.19/0.56 (define @t3 () (@var "C" $$unsorted)) % 0.19/0.56 (define @t4 () (@var "A" $$unsorted)) % 0.19/0.56 (define @t5 () (not (tptp.environment @t4))) % 0.19/0.56 (define @t6 () (@list @t4 @t2 @t3 @t1)) % 0.19/0.56 (define @t7 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t4 @t2)) % 0.19/0.56 (define @t8 () (not @t7)) % 0.19/0.56 (define @t9 () (@list @t4 @t2)) % 0.19/0.56 (define @t10 () (tptp.critical_point @t4)) % 0.19/0.56 (define @t11 () (not (tptp.in_environment @t4 @t10))) % 0.19/0.56 (define @t12 () (@list @t4)) % 0.19/0.56 (define @t13 () (tptp.appear tptp.efficient_producers @t4)) % 0.19/0.56 (define @t14 () (tptp.growth_rate tptp.efficient_producers @t4)) % 0.19/0.56 (define @t15 () (tptp.growth_rate tptp.first_movers @t4)) % 0.19/0.56 (define @t16 () (tptp.difference @t15 @t14)) % 0.19/0.56 (define @t17 () (tptp.growth_rate tptp.efficient_producers @t3)) % 0.19/0.56 (define @t18 () (tptp.growth_rate tptp.first_movers @t3)) % 0.19/0.56 (define @t19 () (tptp.difference @t18 @t17)) % 0.19/0.56 (define @t20 () (tptp.growth_rate tptp.efficient_producers @t2)) % 0.19/0.56 (define @t21 () (tptp.growth_rate tptp.first_movers @t2)) % 0.19/0.56 (define @t22 () (tptp.difference @t21 @t20)) % 0.19/0.56 (define @t23 () (tptp.greater_or_equal @t22 tptp.zero)) % 0.19/0.56 (define @t24 () (tptp.in_environment @t4 @t2)) % 0.19/0.56 (define @t25 () (not @t24)) % 0.19/0.56 (define @t26 () (@list @t4 @t2 @t3)) % 0.19/0.56 (define @t27 () (tptp.greater @t14 @t15)) % 0.19/0.56 (define @t28 () (tptp.greater tptp.zero @t16)) % 0.19/0.56 (define @t29 () (tptp.greater @t15 @t14)) % 0.19/0.56 (define @t30 () (tptp.greater @t16 tptp.zero)) % 0.19/0.56 (define @t31 () (not (tptp.greater_or_equal @t1 @t2))) % 0.19/0.56 (define @t32 () (not (tptp.greater_or_equal @t3 @t1))) % 0.19/0.56 (define @t33 () (tptp.start_time @t4)) % 0.19/0.56 (define @t34 () (tptp.greater_or_equal @t2 @t13)) % 0.19/0.56 (define @t35 () (= @t4 @t2)) % 0.19/0.56 (define @t36 () (tptp.greater @t4 @t2)) % 0.19/0.56 (define @t37 () (tptp.greater_or_equal @t4 @t2)) % 0.19/0.56 (define @t38 () (not @t35)) % 0.19/0.56 (define @t39 () (or @t38 @t37)) % 0.19/0.56 (define @t40 () (forall @t9 @t39)) % 0.19/0.56 (define @t41 () (not (tptp.greater @t20 @t21))) % 0.19/0.56 (define @t42 () (not (= @t2 @t10))) % 0.19/0.56 (define @t43 () (or @t5 @t42 @t41)) % 0.19/0.56 (define @t44 () (forall @t9 @t43)) % 0.19/0.56 (define @t45 () (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t4 @t3))) % 0.19/0.56 (define @t46 () (forall @t6 (or @t5 @t8 @t45 @t31 @t32 (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t4 @t1)))) % 0.19/0.56 (define @t47 () (tptp.environment tptp.sk1)) % 0.19/0.56 (define @t48 () (tptp.critical_point tptp.sk1)) % 0.19/0.56 (define @t49 () (tptp.in_environment tptp.sk1 @t48)) % 0.19/0.56 (define @t50 () (tptp.appear tptp.efficient_producers tptp.sk1)) % 0.19/0.56 (define @t51 () (tptp.greater_or_equal tptp.sk2 @t50)) % 0.19/0.56 (define @t52 () (tptp.greater @t48 tptp.sk2)) % 0.19/0.56 (define @t53 () (tptp.selection_favors tptp.first_movers tptp.efficient_producers tptp.sk2)) % 0.19/0.56 (define @t54 () (@list tptp.sk1 tptp.sk2)) % 0.19/0.56 (define @t55 () (tptp.subpopulations tptp.efficient_producers tptp.first_movers tptp.sk1 tptp.sk2)) % 0.19/0.56 (define @t56 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk1 tptp.sk2)) % 0.19/0.56 (define @t57 () (not @t56)) % 0.19/0.56 (define @t58 () (not @t47)) % 0.19/0.56 (define @t59 () (or @t58 @t57 @t55)) % 0.19/0.56 (define @t60 () (tptp.decreases (tptp.difference (tptp.founding_rate tptp.first_movers tptp.sk2) (tptp.founding_rate tptp.efficient_producers tptp.sk2)))) % 0.19/0.56 (define @t61 () (or @t58 @t57 @t60)) % 0.19/0.56 (define @t62 () (tptp.decreases (tptp.difference (tptp.disbanding_rate tptp.first_movers tptp.sk2) (tptp.disbanding_rate tptp.efficient_producers tptp.sk2)))) % 0.19/0.56 (define @t63 () (not @t62)) % 0.19/0.56 (define @t64 () (or @t58 @t57 @t63)) % 0.19/0.56 (define @t65 () (tptp.growth_rate tptp.efficient_producers tptp.sk2)) % 0.19/0.56 (define @t66 () (tptp.growth_rate tptp.first_movers tptp.sk2)) % 0.19/0.56 (define @t67 () (tptp.greater @t66 @t65)) % 0.19/0.56 (define @t68 () (not @t67)) % 0.19/0.56 (define @t69 () (not @t55)) % 0.19/0.56 (define @t70 () (or @t58 @t69 @t68 @t53)) % 0.19/0.56 (define @t71 () (@list tptp.sk2)) % 0.19/0.56 (define @t72 () (tptp.difference @t66 @t65)) % 0.19/0.56 (define @t73 () (tptp.decreases @t72)) % 0.19/0.56 (define @t74 () (not @t60)) % 0.19/0.56 (define @t75 () (or @t74 @t62 @t73)) % 0.19/0.56 (define @t76 () (tptp.greater @t72 tptp.zero)) % 0.19/0.56 (define @t77 () (not @t76)) % 0.19/0.56 (define @t78 () (or @t77 @t67)) % 0.19/0.56 (define @t79 () (@list tptp.sk1 @t48)) % 0.19/0.56 (define @t80 () (not (tptp.greater (tptp.growth_rate tptp.efficient_producers @t10) (tptp.growth_rate tptp.first_movers @t10)))) % 0.19/0.56 (define @t81 () (not (= @t10 @t10))) % 0.19/0.56 (define @t82 () (or @t5 @t81 @t80)) % 0.19/0.56 (define @t83 () (or @t42 @t5 @t42 @t41)) % 0.19/0.56 (define @t84 () (@list @t2)) % 0.19/0.56 (define @t85 () (forall @t84 @t43)) % 0.19/0.56 (define @t86 () (forall @t12 @t85)) % 0.19/0.56 (define @t87 () (@list tptp.sk1)) % 0.19/0.56 (define @t88 () (tptp.growth_rate tptp.first_movers @t48)) % 0.19/0.56 (define @t89 () (tptp.growth_rate tptp.efficient_producers @t48)) % 0.19/0.56 (define @t90 () (tptp.greater @t89 @t88)) % 0.19/0.56 (define @t91 () (not @t90)) % 0.19/0.56 (define @t92 () (or @t58 @t91)) % 0.19/0.56 (define @t93 () (@list false false)) % 0.19/0.56 (define @t94 () (tptp.difference @t88 @t89)) % 0.19/0.56 (define @t95 () (tptp.greater tptp.zero @t94)) % 0.19/0.56 (define @t96 () (not @t95)) % 0.19/0.56 (define @t97 () (or @t96 @t90)) % 0.19/0.56 (define @t98 () (@list true false)) % 0.19/0.56 (define @t99 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk1 @t48)) % 0.19/0.56 (define @t100 () (not @t49)) % 0.19/0.56 (define @t101 () (or @t58 @t100 @t99)) % 0.19/0.56 (define @t102 () (@list false false false)) % 0.19/0.56 (define @t103 () (tptp.greater_or_equal @t94 tptp.zero)) % 0.19/0.56 (define @t104 () (not @t99)) % 0.19/0.56 (define @t105 () (or @t58 @t104 @t95 @t103)) % 0.19/0.56 (define @t106 () (not @t73)) % 0.19/0.56 (define @t107 () (not @t52)) % 0.19/0.56 (define @t108 () (not @t51)) % 0.19/0.56 (define @t109 () (not @t103)) % 0.19/0.56 (define @t110 () (or @t58 @t100 @t109 @t108 @t107 @t106 @t76)) % 0.19/0.56 (define @t111 () (tptp.greater_or_equal @t48 tptp.sk2)) % 0.19/0.56 (define @t112 () (or @t107 @t111)) % 0.19/0.56 (define @t113 () (tptp.in_environment tptp.sk1 tptp.sk2)) % 0.19/0.56 (define @t114 () (or @t58 @t100 @t108 @t107 @t113)) % 0.19/0.56 (define @t115 () (tptp.in_environment tptp.sk1 @t50)) % 0.19/0.56 (define @t116 () (tptp.greater_or_equal @t50 @t48)) % 0.19/0.56 (define @t117 () (not @t116)) % 0.19/0.56 (define @t118 () (not @t113)) % 0.19/0.56 (define @t119 () (or @t58 @t100 @t118 @t108 @t117 @t115)) % 0.19/0.56 (define @t120 () (tptp.greater_or_equal @t2 @t2)) % 0.19/0.56 (define @t121 () (not (= @t2 @t2))) % 0.19/0.56 (define @t122 () (or @t121 @t120)) % 0.19/0.56 (define @t123 () (or @t38 @t38 @t37)) % 0.19/0.56 (define @t124 () (forall @t12 @t39)) % 0.19/0.56 (define @t125 () (forall @t84 @t124)) % 0.19/0.56 (define @t126 () (forall (@list @t2 @t4) @t39)) % 0.19/0.56 (define @t127 () (tptp.greater @t48 @t50)) % 0.19/0.56 (define @t128 () (not @t127)) % 0.19/0.56 (define @t129 () (tptp.greater_or_equal @t50 @t50)) % 0.19/0.56 (define @t130 () (not @t129)) % 0.19/0.56 (define @t131 () (or @t58 @t100 @t130 @t128 @t115)) % 0.19/0.56 (define @t132 () (tptp.greater_or_equal @t48 @t50)) % 0.19/0.56 (define @t133 () (or @t58 @t104 @t132)) % 0.19/0.56 (define @t134 () (= @t48 @t50)) % 0.19/0.56 (define @t135 () (not @t132)) % 0.19/0.56 (define @t136 () (or @t135 @t127 @t134)) % 0.19/0.56 (define @t137 () (not @t134)) % 0.19/0.56 (define @t138 () (and @t117 @t134 @t129)) % 0.19/0.56 (define @t139 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk1 @t50)) % 0.19/0.56 (define @t140 () (not @t115)) % 0.19/0.56 (define @t141 () (or @t58 @t140 @t139)) % 0.19/0.56 (define @t142 () (not @t111)) % 0.19/0.56 (define @t143 () (not @t139)) % 0.19/0.56 (define @t144 () (or @t58 @t143 @t104 @t108 @t142 @t56)) % 0.19/0.56 (define @t145 () (not @t144)) % 0.19/0.56 (assume @p1 (forall @t6 (or @t5 (not (tptp.subpopulations @t2 @t3 @t4 @t1)) (not (tptp.greater (tptp.growth_rate @t3 @t1) (tptp.growth_rate @t2 @t1))) (tptp.selection_favors @t3 @t2 @t1)))) % 0.19/0.56 (assume @p2 (forall @t9 (or @t5 @t8 (not (tptp.decreases (tptp.difference (tptp.disbanding_rate tptp.first_movers @t2) (tptp.disbanding_rate tptp.efficient_producers @t2))))))) % 0.19/0.56 (assume @p3 (forall @t12 (or @t5 @t11 (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t4 @t10)))) % 0.19/0.56 (assume @p4 (forall @t12 (or @t5 (not (tptp.in_environment @t4 @t13)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t4 @t13)))) % 0.19/0.56 (assume @p5 (forall @t12 (or (not (tptp.decreases (tptp.difference (tptp.founding_rate tptp.first_movers @t4) (tptp.founding_rate tptp.efficient_producers @t4)))) (tptp.decreases (tptp.difference (tptp.disbanding_rate tptp.first_movers @t4) (tptp.disbanding_rate tptp.efficient_producers @t4))) (tptp.decreases @t16)))) % 0.19/0.56 (assume @p6 (forall @t26 (or @t5 @t25 (not @t23) (not (tptp.greater_or_equal @t3 @t13)) (not (tptp.greater @t2 @t3)) (not (tptp.decreases @t19)) (tptp.greater @t19 tptp.zero)))) % 0.19/0.56 (assume @p7 (forall @t12 (or (not @t28) @t27))) % 0.19/0.56 (assume @p8 (forall @t12 (or (not @t27) @t28))) % 0.19/0.56 (assume @p9 (forall @t12 (or (not @t30) @t29))) % 0.19/0.56 (assume @p10 (forall @t12 (or (not @t29) @t30))) % 0.19/0.56 (assume @p11 (forall @t6 (or @t5 @t25 (not (tptp.in_environment @t4 @t3)) @t32 @t31 (tptp.in_environment @t4 @t1)))) % 0.19/0.56 (assume @p12 (forall @t12 (or @t5 (tptp.in_environment @t4 @t33)))) % 0.19/0.56 (assume @p13 (forall @t12 (or @t5 (tptp.greater_or_equal (tptp.appear tptp.first_movers @t4) @t33)))) % 0.19/0.56 (assume @p14 (forall @t9 (or @t5 @t11 (not @t34) (not (tptp.greater @t10 @t2)) @t24))) % 0.19/0.56 (assume @p15 (forall @t9 (or @t5 @t25 (not (tptp.greater (tptp.cardinality_at_time tptp.first_movers @t2) tptp.zero)) (not (tptp.greater (tptp.cardinality_at_time tptp.efficient_producers @t2) tptp.zero)) @t7))) % 0.19/0.56 (assume @p16 (forall @t9 (or @t5 @t8 (tptp.subpopulations tptp.efficient_producers tptp.first_movers @t4 @t2)))) % 0.19/0.56 (assume @p17 (forall @t9 (or @t5 @t8 @t34))) % 0.19/0.56 (assume @p18 (forall @t9 (or (not @t37) @t36 @t35))) % 0.19/0.56 (assume @p19 (forall @t9 (or (not @t36) @t37))) % 0.19/0.56 (assume @p20 @t40) % 0.19/0.56 (assume @p21 (forall @t9 (or @t5 @t8 (tptp.greater tptp.zero @t22) @t23))) % 0.19/0.56 (assume @p22 @t44) % 0.19/0.56 (assume @p23 (forall @t26 (or @t5 @t42 @t45 (not (tptp.greater @t3 @t2)) (tptp.greater @t17 @t18)))) % 0.19/0.56 (assume @p24 @t46) % 0.19/0.56 (assume @p25 (forall @t9 (or @t5 @t8 (tptp.decreases (tptp.difference (tptp.founding_rate tptp.first_movers @t2) (tptp.founding_rate tptp.efficient_producers @t2)))))) % 0.19/0.56 (assume @p26 @t47) % 0.19/0.56 (assume @p27 @t49) % 0.19/0.56 (assume @p28 @t51) % 0.19/0.56 (assume @p29 @t52) % 0.19/0.56 (assume @p30 (not @t53)) % 0.19/0.56 (step @p31 :rule instantiate :premises (@p16) :args (@t54)) % 0.19/0.56 (step @p32 :rule cnf_or_pos :args (@t59)) % 0.19/0.56 (step @p33 :rule reordering :premises (@p32) :args ((or @t58 @t57 @t55 (not @t59)))) % 0.19/0.56 (step @p34 :rule instantiate :premises (@p25) :args (@t54)) % 0.19/0.56 (step @p35 :rule cnf_or_pos :args (@t61)) % 0.19/0.56 (step @p36 :rule reordering :premises (@p35) :args ((or @t58 @t60 @t57 (not @t61)))) % 0.19/0.56 (step @p37 :rule instantiate :premises (@p2) :args (@t54)) % 0.19/0.56 (step @p38 :rule cnf_or_pos :args (@t64)) % 0.19/0.56 (step @p39 :rule reordering :premises (@p38) :args ((or @t58 @t63 @t57 (not @t64)))) % 0.19/0.56 (step @p40 :rule instantiate :premises (@p1) :args ((@list tptp.sk1 tptp.efficient_producers tptp.first_movers tptp.sk2))) % 0.19/0.56 (step @p41 :rule cnf_or_pos :args (@t70)) % 0.19/0.56 (step @p42 :rule reordering :premises (@p41) :args ((or @t53 @t58 @t68 @t69 (not @t70)))) % 0.19/0.56 (step @p43 :rule instantiate :premises (@p5) :args (@t71)) % 0.19/0.56 (step @p44 :rule cnf_or_pos :args (@t75)) % 0.19/0.56 (step @p45 :rule reordering :premises (@p44) :args ((or @t73 @t74 @t62 (not @t75)))) % 0.19/0.56 (step @p46 :rule instantiate :premises (@p9) :args (@t71)) % 0.19/0.56 (step @p47 :rule cnf_or_pos :args (@t78)) % 0.19/0.56 (step @p48 :rule reordering :premises (@p47) :args ((or @t77 @t67 (not @t78)))) % 0.19/0.56 (step @p49 :rule instantiate :premises (@p6) :args ((@list tptp.sk1 @t48 tptp.sk2))) % 0.19/0.56 (step @p50 :rule instantiate :premises (@p21) :args (@t79)) % 0.19/0.56 (step @p51 :rule instantiate :premises (@p7) :args ((@list @t48))) % 0.19/0.56 (step @p52 :rule aci_norm :args ((= (or @t5 false @t80) (or @t5 @t80)))) % 0.19/0.56 (step @p53 :rule refl :args (@t80)) % 0.19/0.56 (step @p54 :rule evaluate :args ((not true))) % 0.19/0.56 (step @p55 :rule eq-refl :args (@t10)) % 0.19/0.56 (step @p56 :rule cong :premises (@p55) :args (@t81)) % 0.19/0.56 (step @p57 :rule trans :premises (@p56 @p54)) % 0.19/0.56 (step @p58 :rule refl :args (@t5)) % 0.19/0.56 (step @p59 :rule nary_cong :premises (@p58 @p57 @p53) :args (@t82)) % 0.19/0.56 (step @p60 :rule trans :premises (@p59 @p52)) % 0.19/0.56 (step @p61 :rule cong :premises (@p60) :args ((forall @t12 @t82))) % 0.19/0.56 (step @p62 :rule quant-var-elim-eq :args ((= (forall @t84 @t83) @t82))) % 0.19/0.56 (step @p63 :rule aci_norm :args ((= @t43 @t83))) % 0.19/0.56 (step @p64 :rule cong :premises (@p63) :args (@t85)) % 0.19/0.56 (step @p65 :rule trans :premises (@p64 @p62)) % 0.19/0.56 (step @p66 :rule cong :premises (@p65) :args (@t86)) % 0.19/0.56 (step @p67 :rule quant-merge-prenex :args ((= @t86 @t44))) % 0.19/0.56 (step @p68 :rule symm :premises (@p67)) % 0.19/0.56 (step @p69 :rule trans :premises (@p68 @p66)) % 0.19/0.56 (step @p70 :rule trans :premises (@p69 @p61)) % 0.19/0.56 (step @p71 :rule eq_resolve :premises (@p22 @p70)) % 0.19/0.56 (step @p72 :rule instantiate :premises (@p71) :args (@t87)) % 0.19/0.56 (step @p73 :rule cnf_or_pos :args (@t92)) % 0.19/0.56 (step @p74 :rule reordering :premises (@p73) :args ((or @t58 @t91 (not @t92)))) % 0.19/0.56 (step @p75 :rule chain_m_resolution :premises (@p74 @p26 @p72) :args (@t91 @t93 (@list @t47 @t92))) % 0.19/0.56 (step @p76 :rule cnf_or_pos :args (@t97)) % 0.19/0.56 (step @p77 :rule reordering :premises (@p76) :args ((or @t90 @t96 (not @t97)))) % 0.19/0.56 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p51) :args (@t96 @t98 (@list @t90 @t97))) % 0.19/0.56 (step @p79 :rule instantiate :premises (@p3) :args (@t87)) % 0.19/0.56 (step @p80 :rule cnf_or_pos :args (@t101)) % 0.19/0.56 (step @p81 :rule reordering :premises (@p80) :args ((or @t58 @t100 @t99 (not @t101)))) % 0.19/0.56 (step @p82 :rule chain_m_resolution :premises (@p81 @p26 @p27 @p79) :args (@t99 @t102 (@list @t47 @t49 @t101))) % 0.19/0.56 (step @p83 :rule cnf_or_pos :args (@t105)) % 0.19/0.56 (step @p84 :rule reordering :premises (@p83) :args ((or @t58 @t103 @t104 @t95 (not @t105)))) % 0.19/0.56 (step @p85 :rule chain_m_resolution :premises (@p84 @p26 @p82 @p78 @p50) :args (@t103 (@list false false true false) (@list @t47 @t99 @t95 @t105))) % 0.19/0.56 (step @p86 :rule cnf_or_pos :args (@t110)) % 0.19/0.56 (step @p87 :rule reordering :premises (@p86) :args ((or @t58 @t100 @t108 @t107 @t109 @t106 @t76 (not @t110)))) % 0.19/0.56 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p49 @p29 @p28 @p27 @p26 @p48 @p46 @p45 @p43 @p42 @p40 @p30 @p26 @p39 @p37 @p26 @p36 @p34 @p26 @p33 @p31 @p26) :args (@t57 (@list false false false false false false true false false false true false true false true false false false false false false false false) (@list @t103 @t110 @t52 @t51 @t49 @t47 @t76 @t78 @t73 @t75 @t67 @t70 @t53 @t47 @t62 @t64 @t47 @t60 @t61 @t47 @t55 @t59 @t47))) % 0.19/0.56 (step @p89 :rule instantiate :premises (@p19) :args ((@list @t48 tptp.sk2))) % 0.19/0.56 (step @p90 :rule cnf_or_pos :args (@t112)) % 0.19/0.56 (step @p91 :rule reordering :premises (@p90) :args ((or @t107 @t111 (not @t112)))) % 0.19/0.56 (step @p92 :rule chain_m_resolution :premises (@p91 @p29 @p89) :args (@t111 @t93 (@list @t52 @t112))) % 0.19/0.56 (step @p93 :rule instantiate :premises (@p4) :args (@t87)) % 0.19/0.56 (step @p94 :rule instantiate :premises (@p11) :args ((@list tptp.sk1 @t48 tptp.sk2 @t50))) % 0.19/0.56 (step @p95 :rule instantiate :premises (@p14) :args (@t54)) % 0.19/0.56 (step @p96 :rule cnf_or_pos :args (@t114)) % 0.19/0.56 (step @p97 :rule reordering :premises (@p96) :args ((or @t58 @t100 @t108 @t107 @t113 (not @t114)))) % 0.19/0.56 (step @p98 :rule chain_m_resolution :premises (@p97 @p26 @p27 @p28 @p29 @p95) :args (@t113 (@list false false false false false) (@list @t47 @t49 @t51 @t52 @t114))) % 0.19/0.56 (step @p99 :rule cnf_or_pos :args (@t119)) % 0.19/0.56 (step @p100 :rule reordering :premises (@p99) :args ((or @t58 @t100 @t108 @t115 @t118 @t117 (not @t119)))) % 0.19/0.56 (step @p101 :rule aci_norm :args ((= (or false @t120) @t120))) % 0.19/0.56 (step @p102 :rule refl :args (@t120)) % 0.19/0.56 (step @p103 :rule eq-refl :args (@t2)) % 0.19/0.56 (step @p104 :rule cong :premises (@p103) :args (@t121)) % 0.19/0.56 (step @p105 :rule trans :premises (@p104 @p54)) % 0.19/0.56 (step @p106 :rule nary_cong :premises (@p105 @p102) :args (@t122)) % 0.19/0.56 (step @p107 :rule trans :premises (@p106 @p101)) % 0.19/0.56 (step @p108 :rule cong :premises (@p107) :args ((forall @t84 @t122))) % 0.19/0.56 (step @p109 :rule quant-var-elim-eq :args ((= (forall @t12 @t123) @t122))) % 0.19/0.56 (step @p110 :rule aci_norm :args ((= @t39 @t123))) % 0.19/0.56 (step @p111 :rule cong :premises (@p110) :args (@t124)) % 0.19/0.56 (step @p112 :rule trans :premises (@p111 @p109)) % 0.19/0.56 (step @p113 :rule cong :premises (@p112) :args (@t125)) % 0.19/0.56 (step @p114 :rule quant-merge-prenex :args ((= @t125 @t126))) % 0.19/0.56 (step @p115 :rule symm :premises (@p114)) % 0.19/0.56 (step @p116 :rule quant_var_reordering :args ((= @t40 @t126))) % 0.19/0.56 (step @p117 :rule trans :premises (@p116 @p115 @p113)) % 0.19/0.56 (step @p118 :rule trans :premises (@p117 @p108)) % 0.19/0.56 (step @p119 :rule eq_resolve :premises (@p20 @p118)) % 0.19/0.56 (step @p120 :rule instantiate :premises (@p119) :args ((@list @t50))) % 0.19/0.56 (step @p121 :rule instantiate :premises (@p14) :args ((@list tptp.sk1 @t50))) % 0.19/0.56 (step @p122 :rule cnf_or_pos :args (@t131)) % 0.19/0.56 (step @p123 :rule reordering :premises (@p122) :args ((or @t58 @t100 @t115 @t130 @t128 (not @t131)))) % 0.19/0.56 (step @p124 :rule instantiate :premises (@p17) :args (@t79)) % 0.19/0.56 (step @p125 :rule cnf_or_pos :args (@t133)) % 0.19/0.56 (step @p126 :rule reordering :premises (@p125) :args ((or @t58 @t104 @t132 (not @t133)))) % 0.19/0.56 (step @p127 :rule chain_m_resolution :premises (@p126 @p26 @p82 @p124) :args (@t132 @t102 (@list @t47 @t99 @t133))) % 0.19/0.56 (step @p128 :rule instantiate :premises (@p18) :args ((@list @t48 @t50))) % 0.19/0.56 (step @p129 :rule cnf_or_pos :args (@t136)) % 0.19/0.56 (step @p130 :rule reordering :premises (@p129) :args ((or @t127 @t135 @t134 (not @t136)))) % 0.19/0.56 (step @p131 :rule refl :args (@t137)) % 0.19/0.56 (step @p132 :rule refl :args (@t130)) % 0.19/0.56 (step @p133 :rule bool-double-not-elim :args (@t116)) % 0.19/0.56 (step @p134 :rule nary_cong :premises (@p133 @p132 @p131) :args ((or (not @t117) @t130 @t137))) % 0.19/0.56 (assume-push @p176 @t117) % 0.19/0.56 (assume-push @p177 @t134) % 0.19/0.56 (assume-push @p178 @t129) % 0.19/0.56 (step @p138 :rule evaluate :args ((= true false))) % 0.19/0.56 (step @p139 :rule false_intro :premises (@p176)) % 0.19/0.56 (step @p140 :rule symm :premises (@p177)) % 0.19/0.56 (step @p141 :rule refl :args (@t50)) % 0.19/0.56 (step @p142 :rule cong :premises (@p141 @p140) :args (@t129)) % 0.19/0.56 (step @p143 :rule true_intro :premises (@p120)) % 0.19/0.56 (step @p144 :rule symm :premises (@p143)) % 0.19/0.56 (step @p145 :rule trans :premises (@p144 @p142 @p139)) % 0.19/0.56 (step @p146 false :rule eq_resolve :premises (@p145 @p138)) % 0.19/0.56 (step-pop @p179 :rule scope :premises (@p146)) % 0.19/0.56 (step-pop @p180 :rule scope :premises (@p179)) % 0.19/0.56 (step-pop @p181 :rule scope :premises (@p180)) % 0.19/0.56 (step @p147 :rule process_scope :premises (@p181) :args (false)) % 0.19/0.56 (assume-push @p182 @t117) % 0.19/0.56 (assume-push @p183 @t129) % 0.19/0.56 (assume-push @p184 @t134) % 0.19/0.56 (step @p154 :rule and_intro :premises (@p182 @p184 @p120)) % 0.19/0.56 (step-pop @p185 :rule scope :premises (@p154)) % 0.19/0.56 (step-pop @p186 :rule scope :premises (@p185)) % 0.19/0.56 (step-pop @p187 :rule scope :premises (@p186)) % 0.19/0.56 (step @p155 :rule process_scope :premises (@p187) :args (@t138)) % 0.19/0.56 (step @p159 :rule implies_elim :premises (@p155)) % 0.19/0.56 (step @p160 :rule resolution :premises (@p159 @p147) :args (true @t138)) % 0.19/0.56 (step @p161 :rule not_and :premises (@p160)) % 0.19/0.56 (step @p162 :rule eq_resolve :premises (@p161 @p134)) % 0.19/0.56 (step @p163 :rule chain_m_resolution :premises (@p162 @p120 @p130 @p128 @p127 @p123 @p121 @p120 @p27 @p26 @p100 @p98 @p94 @p28 @p27 @p26) :args (@t115 (@list false false false false true false false false false true false false false false false) (@list @t129 @t134 @t136 @t132 @t127 @t131 @t129 @t49 @t47 @t116 @t113 @t119 @t51 @t49 @t47))) % 0.19/0.56 (step @p164 :rule cnf_or_pos :args (@t141)) % 0.19/0.56 (step @p165 :rule reordering :premises (@p164) :args ((or @t58 @t140 @t139 (not @t141)))) % 0.19/0.56 (step @p166 :rule chain_m_resolution :premises (@p165 @p26 @p163 @p93) :args (@t139 @t102 (@list @t47 @t115 @t141))) % 0.19/0.56 (step @p167 :rule cnf_or_pos :args (@t144)) % 0.19/0.56 (step @p168 :rule reordering :premises (@p167) :args ((or @t58 @t108 @t104 @t143 @t142 @t56 @t145))) % 0.19/0.56 (step @p169 :rule chain_m_resolution :premises (@p168 @p26 @p28 @p82 @p166 @p92 @p88) :args (@t145 (@list false false false false false true) (@list @t47 @t51 @t99 @t139 @t111 @t56))) % 0.19/0.56 (assume-push @p188 @t46) % 0.19/0.56 (step @p171 :rule instantiate :premises (@p24) :args ((@list tptp.sk1 @t50 @t48 tptp.sk2))) % 0.19/0.56 (step-pop @p189 :rule scope :premises (@p171)) % 0.19/0.56 (step @p172 :rule process_scope :premises (@p189) :args (@t144)) % 0.19/0.56 (step @p174 :rule implies_elim :premises (@p172)) % 0.19/0.56 (step @p175 false :rule chain_m_resolution :premises (@p174 @p169 @p24) :args (false @t98 (@list @t144 @t46))) % 0.19/0.56 ) % 0.19/0.56 % SZS output end Proof % 0.19/0.56 % cvc5 exiting %------------------------------------------------------------------------------