%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT028-1 : 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 : n005.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 06:04:46 AM UTC 2026 % Result : Unsatisfiable 0.21s 0.51s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT028-1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.05 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.11/0.37 % Computer : n005.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % OS : Linux 6.8.0-71-generic % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Mon Sep 7 12:15:35 UTC 2026 % 0.11/0.37 % CPUTime : % 0.11/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.21/0.46 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.21/0.51 % SZS status Unsatisfiable % 0.21/0.51 % SZS output start Proof % 0.21/0.52 ( % 0.21/0.52 (declare-sort $$unsorted 0) % 0.21/0.52 (declare-const tptp.sk3 (-> $$unsorted $$unsorted)) % 0.21/0.52 (declare-const tptp.efficient_producers $$unsorted) % 0.21/0.52 (declare-const tptp.sk5 (-> $$unsorted $$unsorted)) % 0.21/0.52 (declare-const tptp.appear (-> $$unsorted $$unsorted $$unsorted)) % 0.21/0.52 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.21/0.52 (declare-const tptp.sk2 (-> $$unsorted $$unsorted)) % 0.21/0.52 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.21/0.52 (declare-const tptp.sk1 (-> $$unsorted $$unsorted $$unsorted)) % 0.21/0.52 (declare-const tptp.first_movers $$unsorted) % 0.21/0.52 (declare-const tptp.environment (-> $$unsorted Bool)) % 0.21/0.52 (declare-const tptp.growth_rate (-> $$unsorted $$unsorted $$unsorted)) % 0.21/0.52 (declare-const tptp.sk4 $$unsorted) % 0.21/0.52 (declare-const tptp.subpopulations (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.52 (declare-const tptp.in_environment (-> $$unsorted $$unsorted Bool)) % 0.21/0.52 (declare-const tptp.zero $$unsorted) % 0.21/0.52 (declare-const tptp.stable (-> $$unsorted Bool)) % 0.21/0.52 (define @t1 () (@var "A" $$unsorted)) % 0.21/0.52 (define @t2 () (tptp.sk2 @t1)) % 0.21/0.52 (define @t3 () (tptp.greater @t2 (tptp.appear tptp.efficient_producers @t1))) % 0.21/0.52 (define @t4 () (@var "B" $$unsorted)) % 0.21/0.52 (define @t5 () (tptp.sk1 @t4 @t1)) % 0.21/0.52 (define @t6 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t1 @t5)) % 0.21/0.52 (define @t7 () (not (tptp.in_environment @t1 @t4))) % 0.21/0.52 (define @t8 () (not (tptp.stable @t1))) % 0.21/0.52 (define @t9 () (not (tptp.environment @t1))) % 0.21/0.52 (define @t10 () (@list @t1 @t4)) % 0.21/0.52 (define @t11 () (tptp.greater_or_equal @t5 @t4)) % 0.21/0.52 (define @t12 () (@var "C" $$unsorted)) % 0.21/0.52 (define @t13 () (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers @t12))) % 0.21/0.52 (define @t14 () (not (tptp.greater_or_equal @t12 @t2))) % 0.21/0.52 (define @t15 () (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t1 @t12))) % 0.21/0.52 (define @t16 () (@list @t1 @t4 @t12)) % 0.21/0.52 (define @t17 () (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers @t5)))) % 0.21/0.52 (define @t18 () (tptp.sk3 @t1)) % 0.21/0.52 (define @t19 () (@list @t1)) % 0.21/0.52 (define @t20 () (not (tptp.greater_or_equal @t4 @t18))) % 0.21/0.52 (define @t21 () (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t1 @t4))) % 0.21/0.52 (define @t22 () (tptp.environment tptp.sk4)) % 0.21/0.52 (define @t23 () (tptp.stable tptp.sk4)) % 0.21/0.52 (define @t24 () (tptp.sk5 @t1)) % 0.21/0.52 (define @t25 () (tptp.appear tptp.efficient_producers tptp.sk4)) % 0.21/0.52 (define @t26 () (not (tptp.greater @t1 @t25))) % 0.21/0.52 (define @t27 () (tptp.sk2 tptp.sk4)) % 0.21/0.52 (define @t28 () (@list @t27)) % 0.21/0.52 (define @t29 () (tptp.sk3 tptp.sk4)) % 0.21/0.52 (define @t30 () (tptp.in_environment tptp.sk4 @t29)) % 0.21/0.52 (define @t31 () (not @t23)) % 0.21/0.52 (define @t32 () (not @t22)) % 0.21/0.52 (define @t33 () (or @t32 @t31 @t30)) % 0.21/0.52 (define @t34 () (@list tptp.sk4 @t29)) % 0.21/0.52 (define @t35 () (tptp.greater @t27 @t25)) % 0.21/0.52 (define @t36 () (tptp.sk1 @t29 tptp.sk4)) % 0.21/0.52 (define @t37 () (tptp.greater_or_equal @t36 @t29)) % 0.21/0.52 (define @t38 () (not @t30)) % 0.21/0.52 (define @t39 () (or @t32 @t31 @t38 @t37 @t35)) % 0.21/0.52 (define @t40 () (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers @t36))) % 0.21/0.52 (define @t41 () (not @t40)) % 0.21/0.52 (define @t42 () (or @t32 @t31 @t38 @t41 @t35)) % 0.21/0.52 (define @t43 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 @t36)) % 0.21/0.52 (define @t44 () (or @t32 @t31 @t38 @t43 @t35)) % 0.21/0.52 (define @t45 () (tptp.sk5 @t27)) % 0.21/0.52 (define @t46 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 @t45)) % 0.21/0.52 (define @t47 () (not @t35)) % 0.21/0.52 (define @t48 () (or @t47 @t46)) % 0.21/0.52 (define @t49 () (tptp.greater_or_equal @t45 @t27)) % 0.21/0.52 (define @t50 () (or @t47 @t49)) % 0.21/0.52 (define @t51 () (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers @t45))) % 0.21/0.52 (define @t52 () (not @t51)) % 0.21/0.52 (define @t53 () (or @t47 @t52)) % 0.21/0.52 (define @t54 () (@list tptp.sk4 @t29 @t45)) % 0.21/0.52 (define @t55 () (not @t49)) % 0.21/0.52 (define @t56 () (not @t46)) % 0.21/0.52 (define @t57 () (or @t32 @t31 @t38 @t43 @t56 @t55 @t51)) % 0.21/0.52 (define @t58 () (not @t37)) % 0.21/0.52 (define @t59 () (not @t43)) % 0.21/0.52 (define @t60 () (or @t32 @t31 @t59 @t58 @t40)) % 0.21/0.52 (define @t61 () (@list false false false false true false false false false false false false false false)) % 0.21/0.52 (define @t62 () (@list false false)) % 0.21/0.52 (define @t63 () (or @t32 @t31 @t38 @t37 @t56 @t55 @t51)) % 0.21/0.52 (define @t64 () (or @t32 @t31 @t38 @t41 @t56 @t55 @t51)) % 0.21/0.52 (assume @p1 (forall @t10 (or @t9 @t8 @t7 @t6 @t3))) % 0.21/0.52 (assume @p2 (forall @t10 (or @t9 @t8 @t7 @t11 @t3))) % 0.21/0.52 (assume @p3 (forall @t16 (or @t9 @t8 @t7 @t6 @t15 @t14 @t13))) % 0.21/0.52 (assume @p4 (forall @t16 (or @t9 @t8 @t7 @t11 @t15 @t14 @t13))) % 0.21/0.52 (assume @p5 (forall @t10 (or @t9 @t8 @t7 @t17 @t3))) % 0.21/0.52 (assume @p6 (forall @t16 (or @t9 @t8 @t7 @t17 @t15 @t14 @t13))) % 0.21/0.52 (assume @p7 (forall @t19 (or @t9 @t8 (tptp.in_environment @t1 @t18)))) % 0.21/0.52 (assume @p8 (forall @t10 (or @t9 @t8 @t21 @t20 (tptp.greater (tptp.growth_rate tptp.efficient_producers @t4) tptp.zero)))) % 0.21/0.52 (assume @p9 (forall @t10 (or @t9 @t8 @t21 @t20 (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers @t4))))) % 0.21/0.52 (assume @p10 @t22) % 0.21/0.52 (assume @p11 @t23) % 0.21/0.52 (assume @p12 (forall @t19 (or @t26 (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 @t24)))) % 0.21/0.52 (assume @p13 (forall @t19 (or @t26 (tptp.greater_or_equal @t24 @t1)))) % 0.21/0.52 (assume @p14 (forall @t19 (or @t26 (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers @t24)))))) % 0.21/0.52 (step @p15 :rule instantiate :premises (@p14) :args (@t28)) % 0.21/0.52 (step @p16 :rule instantiate :premises (@p7) :args ((@list tptp.sk4))) % 0.21/0.52 (step @p17 :rule cnf_or_pos :args (@t33)) % 0.21/0.52 (step @p18 :rule reordering :premises (@p17) :args ((or @t32 @t31 @t30 (not @t33)))) % 0.21/0.52 (step @p19 :rule chain_m_resolution :premises (@p18 @p10 @p11 @p16) :args (@t30 (@list false false false) (@list @t22 @t23 @t33))) % 0.21/0.52 (step @p20 :rule instantiate :premises (@p2) :args (@t34)) % 0.21/0.52 (step @p21 :rule cnf_or_pos :args (@t39)) % 0.21/0.52 (step @p22 :rule reordering :premises (@p21) :args ((or @t32 @t31 @t38 @t35 @t37 (not @t39)))) % 0.21/0.52 (step @p23 :rule instantiate :premises (@p5) :args (@t34)) % 0.21/0.52 (step @p24 :rule cnf_or_pos :args (@t42)) % 0.21/0.52 (step @p25 :rule reordering :premises (@p24) :args ((or @t32 @t31 @t38 @t35 @t41 (not @t42)))) % 0.21/0.52 (step @p26 :rule instantiate :premises (@p1) :args (@t34)) % 0.21/0.52 (step @p27 :rule cnf_or_pos :args (@t44)) % 0.21/0.52 (step @p28 :rule reordering :premises (@p27) :args ((or @t32 @t31 @t38 @t43 @t35 (not @t44)))) % 0.21/0.52 (step @p29 :rule instantiate :premises (@p12) :args (@t28)) % 0.21/0.52 (step @p30 :rule cnf_or_pos :args (@t48)) % 0.21/0.52 (step @p31 :rule reordering :premises (@p30) :args ((or @t47 @t46 (not @t48)))) % 0.21/0.52 (step @p32 :rule instantiate :premises (@p13) :args (@t28)) % 0.21/0.52 (step @p33 :rule cnf_or_pos :args (@t50)) % 0.21/0.52 (step @p34 :rule reordering :premises (@p33) :args ((or @t47 @t49 (not @t50)))) % 0.21/0.52 (step @p35 :rule cnf_or_pos :args (@t53)) % 0.21/0.52 (step @p36 :rule reordering :premises (@p35) :args ((or @t47 @t52 (not @t53)))) % 0.21/0.52 (step @p37 :rule instantiate :premises (@p3) :args (@t54)) % 0.21/0.52 (step @p38 :rule cnf_or_pos :args (@t57)) % 0.21/0.52 (step @p39 :rule reordering :premises (@p38) :args ((or @t32 @t31 @t38 @t43 @t51 @t56 @t55 (not @t57)))) % 0.21/0.52 (step @p40 :rule chain_m_resolution :premises (@p39 @p37 @p19 @p11 @p10 @p36 @p15 @p34 @p32 @p31 @p29 @p28 @p26 @p19 @p11 @p10) :args (@t43 (@list false false false false true false false false false false false false false false false) (@list @t57 @t30 @t23 @t22 @t51 @t53 @t49 @t50 @t46 @t48 @t35 @t44 @t30 @t23 @t22))) % 0.21/0.52 (step @p41 :rule instantiate :premises (@p9) :args ((@list tptp.sk4 @t36))) % 0.21/0.52 (step @p42 :rule cnf_or_pos :args (@t60)) % 0.21/0.52 (step @p43 :rule reordering :premises (@p42) :args ((or @t32 @t31 @t40 @t59 @t58 (not @t60)))) % 0.21/0.52 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p40 @p11 @p10 @p25 @p23 @p19 @p11 @p10 @p22 @p20 @p19 @p11 @p10) :args (@t35 @t61 (@list @t60 @t43 @t23 @t22 @t40 @t42 @t30 @t23 @t22 @t37 @t39 @t30 @t23 @t22))) % 0.21/0.52 (step @p45 :rule chain_m_resolution :premises (@p36 @p44 @p15) :args (@t52 @t62 (@list @t35 @t53))) % 0.21/0.52 (step @p46 :rule chain_m_resolution :premises (@p31 @p44 @p29) :args (@t46 @t62 (@list @t35 @t48))) % 0.21/0.52 (step @p47 :rule chain_m_resolution :premises (@p34 @p44 @p32) :args (@t49 @t62 (@list @t35 @t50))) % 0.21/0.52 (step @p48 :rule instantiate :premises (@p4) :args (@t54)) % 0.21/0.52 (step @p49 :rule cnf_or_pos :args (@t63)) % 0.21/0.52 (step @p50 :rule reordering :premises (@p49) :args ((or @t32 @t31 @t38 @t37 @t51 @t56 @t55 (not @t63)))) % 0.21/0.52 (step @p51 :rule instantiate :premises (@p6) :args (@t54)) % 0.21/0.52 (step @p52 :rule cnf_or_pos :args (@t64)) % 0.21/0.52 (step @p53 :rule reordering :premises (@p52) :args ((or @t32 @t31 @t38 @t41 @t51 @t56 @t55 (not @t64)))) % 0.21/0.52 (step @p54 :rule chain_m_resolution :premises (@p43 @p41 @p40 @p11 @p10 @p53 @p51 @p19 @p11 @p10 @p50 @p48 @p19 @p11 @p10) :args ((or @t51 @t56 @t55) @t61 (@list @t60 @t43 @t23 @t22 @t40 @t64 @t30 @t23 @t22 @t37 @t63 @t30 @t23 @t22))) % 0.21/0.52 (step @p55 false :rule chain_m_resolution :premises (@p54 @p47 @p46 @p45) :args (false (@list false false true) (@list @t49 @t46 @t51))) % 0.21/0.52 ) % 0.21/0.52 % SZS output end Proof % 0.21/0.52 % cvc5 exiting %------------------------------------------------------------------------------