%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT030-1 : 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 : n001.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 0.54s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT030-1 : 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 % 0.09/0.37 % Computer : n001.cluster.edu % 0.09/0.37 % Model : x86_64 x86_64 % 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.37 % Memory : 8046.5625MB % 0.09/0.37 % OS : Linux 6.8.0-71-generic % 0.09/0.37 % CPULimit : 300 % 0.09/0.37 % WCLimit : 300 % 0.09/0.37 % DateTime : Mon Sep 7 12:24:37 UTC 2026 % 0.09/0.37 % CPUTime : % 0.14/0.45 %----Proving TF0_NAR, FOF, or CNF % 0.21/0.47 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.21/0.54 % SZS status Unsatisfiable % 0.21/0.54 % SZS output start Proof % 0.21/0.54 ( % 0.21/0.54 (declare-sort $$unsorted 0) % 0.21/0.54 (declare-const tptp.sk2 (-> $$unsorted $$unsorted)) % 0.21/0.54 (declare-const tptp.growth_rate (-> $$unsorted $$unsorted $$unsorted)) % 0.21/0.54 (declare-const tptp.in_environment (-> $$unsorted $$unsorted Bool)) % 0.21/0.54 (declare-const tptp.sk1 (-> $$unsorted $$unsorted $$unsorted)) % 0.21/0.54 (declare-const tptp.sk5 (-> $$unsorted $$unsorted)) % 0.21/0.54 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.21/0.54 (declare-const tptp.efficient_producers $$unsorted) % 0.21/0.54 (declare-const tptp.stable (-> $$unsorted Bool)) % 0.21/0.54 (declare-const tptp.first_movers $$unsorted) % 0.21/0.54 (declare-const tptp.subpopulations (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.54 (declare-const tptp.environment (-> $$unsorted Bool)) % 0.21/0.54 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.21/0.54 (declare-const tptp.sk3 (-> $$unsorted $$unsorted)) % 0.21/0.54 (declare-const tptp.sk4 $$unsorted) % 0.21/0.54 (define @t1 () (@var "A" $$unsorted)) % 0.21/0.54 (define @t2 () (tptp.sk2 @t1)) % 0.21/0.54 (define @t3 () (tptp.in_environment @t1 @t2)) % 0.21/0.54 (define @t4 () (@var "B" $$unsorted)) % 0.21/0.54 (define @t5 () (tptp.sk1 @t4 @t1)) % 0.21/0.54 (define @t6 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t1 @t5)) % 0.21/0.54 (define @t7 () (not (tptp.in_environment @t1 @t4))) % 0.21/0.54 (define @t8 () (not (tptp.environment @t1))) % 0.21/0.54 (define @t9 () (@list @t1 @t4)) % 0.21/0.54 (define @t10 () (tptp.greater_or_equal @t5 @t4)) % 0.21/0.54 (define @t11 () (not (tptp.greater (tptp.growth_rate tptp.efficient_producers @t2) (tptp.growth_rate tptp.first_movers @t2)))) % 0.21/0.54 (define @t12 () (@var "C" $$unsorted)) % 0.21/0.54 (define @t13 () (tptp.greater (tptp.growth_rate tptp.efficient_producers @t12) (tptp.growth_rate tptp.first_movers @t12))) % 0.21/0.54 (define @t14 () (not (tptp.greater @t12 @t2))) % 0.21/0.54 (define @t15 () (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t1 @t12))) % 0.21/0.54 (define @t16 () (@list @t1 @t4 @t12)) % 0.21/0.54 (define @t17 () (not (tptp.greater (tptp.growth_rate tptp.efficient_producers @t5) (tptp.growth_rate tptp.first_movers @t5)))) % 0.21/0.54 (define @t18 () (tptp.sk3 @t1)) % 0.21/0.54 (define @t19 () (not (tptp.stable @t1))) % 0.21/0.54 (define @t20 () (@list @t1)) % 0.21/0.54 (define @t21 () (tptp.environment tptp.sk4)) % 0.21/0.54 (define @t22 () (tptp.stable tptp.sk4)) % 0.21/0.54 (define @t23 () (tptp.sk5 @t1)) % 0.21/0.54 (define @t24 () (tptp.greater (tptp.growth_rate tptp.efficient_producers @t1) (tptp.growth_rate tptp.first_movers @t1))) % 0.21/0.54 (define @t25 () (not (tptp.in_environment tptp.sk4 @t1))) % 0.21/0.54 (define @t26 () (tptp.sk3 tptp.sk4)) % 0.21/0.54 (define @t27 () (tptp.in_environment tptp.sk4 @t26)) % 0.21/0.54 (define @t28 () (not @t22)) % 0.21/0.54 (define @t29 () (not @t21)) % 0.21/0.54 (define @t30 () (or @t29 @t28 @t27)) % 0.21/0.54 (define @t31 () (@list tptp.sk4 @t26)) % 0.21/0.54 (define @t32 () (tptp.sk2 tptp.sk4)) % 0.21/0.54 (define @t33 () (tptp.greater (tptp.growth_rate tptp.efficient_producers @t32) (tptp.growth_rate tptp.first_movers @t32))) % 0.21/0.54 (define @t34 () (not @t33)) % 0.21/0.54 (define @t35 () (tptp.sk1 @t26 tptp.sk4)) % 0.21/0.54 (define @t36 () (tptp.greater (tptp.growth_rate tptp.efficient_producers @t35) (tptp.growth_rate tptp.first_movers @t35))) % 0.21/0.54 (define @t37 () (not @t36)) % 0.21/0.54 (define @t38 () (not @t27)) % 0.21/0.54 (define @t39 () (or @t29 @t38 @t37 @t34)) % 0.21/0.54 (define @t40 () (tptp.in_environment tptp.sk4 @t32)) % 0.21/0.54 (define @t41 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 @t35)) % 0.21/0.54 (define @t42 () (or @t29 @t38 @t41 @t40)) % 0.21/0.54 (define @t43 () (tptp.greater_or_equal @t35 @t26)) % 0.21/0.54 (define @t44 () (or @t29 @t38 @t43 @t40)) % 0.21/0.54 (define @t45 () (or @t29 @t38 @t37 @t40)) % 0.21/0.54 (define @t46 () (not @t43)) % 0.21/0.54 (define @t47 () (not @t41)) % 0.21/0.54 (define @t48 () (or @t29 @t28 @t47 @t46 @t36)) % 0.21/0.54 (define @t49 () (@list @t32)) % 0.21/0.54 (define @t50 () (tptp.sk5 @t32)) % 0.21/0.54 (define @t51 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 @t50)) % 0.21/0.54 (define @t52 () (not @t40)) % 0.21/0.54 (define @t53 () (or @t52 @t33 @t51)) % 0.21/0.54 (define @t54 () (tptp.greater @t50 @t32)) % 0.21/0.54 (define @t55 () (or @t52 @t33 @t54)) % 0.21/0.54 (define @t56 () (tptp.greater (tptp.growth_rate tptp.efficient_producers @t50) (tptp.growth_rate tptp.first_movers @t50))) % 0.21/0.54 (define @t57 () (not @t56)) % 0.21/0.54 (define @t58 () (or @t52 @t33 @t57)) % 0.21/0.54 (define @t59 () (@list tptp.sk4 @t26 @t50)) % 0.21/0.54 (define @t60 () (not @t54)) % 0.21/0.54 (define @t61 () (not @t51)) % 0.21/0.54 (define @t62 () (or @t29 @t38 @t37 @t61 @t60 @t56)) % 0.21/0.54 (define @t63 () (or @t29 @t38 @t43 @t61 @t60 @t56)) % 0.21/0.54 (define @t64 () (or @t29 @t38 @t41 @t61 @t60 @t56)) % 0.21/0.54 (define @t65 () (or @t29 @t38 @t41 @t34)) % 0.21/0.54 (define @t66 () (@list false false false false)) % 0.21/0.54 (define @t67 () (or @t29 @t38 @t43 @t34)) % 0.21/0.54 (assume @p1 (forall @t9 (or @t8 @t7 @t6 @t3))) % 0.21/0.54 (assume @p2 (forall @t9 (or @t8 @t7 @t10 @t3))) % 0.21/0.54 (assume @p3 (forall @t9 (or @t8 @t7 @t6 @t11))) % 0.21/0.54 (assume @p4 (forall @t16 (or @t8 @t7 @t6 @t15 @t14 @t13))) % 0.21/0.54 (assume @p5 (forall @t9 (or @t8 @t7 @t10 @t11))) % 0.21/0.54 (assume @p6 (forall @t16 (or @t8 @t7 @t10 @t15 @t14 @t13))) % 0.21/0.54 (assume @p7 (forall @t9 (or @t8 @t7 @t17 @t3))) % 0.21/0.54 (assume @p8 (forall @t9 (or @t8 @t7 @t17 @t11))) % 0.21/0.54 (assume @p9 (forall @t16 (or @t8 @t7 @t17 @t15 @t14 @t13))) % 0.21/0.54 (assume @p10 (forall @t20 (or @t8 @t19 (tptp.in_environment @t1 @t18)))) % 0.21/0.54 (assume @p11 (forall @t9 (or @t8 @t19 (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t1 @t4)) (not (tptp.greater_or_equal @t4 @t18)) (tptp.greater (tptp.growth_rate tptp.efficient_producers @t4) (tptp.growth_rate tptp.first_movers @t4))))) % 0.21/0.54 (assume @p12 @t21) % 0.21/0.54 (assume @p13 @t22) % 0.21/0.54 (assume @p14 (forall @t20 (or @t25 @t24 (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 @t23)))) % 0.21/0.54 (assume @p15 (forall @t20 (or @t25 @t24 (tptp.greater @t23 @t1)))) % 0.21/0.54 (assume @p16 (forall @t20 (or @t25 @t24 (not (tptp.greater (tptp.growth_rate tptp.efficient_producers @t23) (tptp.growth_rate tptp.first_movers @t23)))))) % 0.21/0.54 (step @p17 :rule instantiate :premises (@p10) :args ((@list tptp.sk4))) % 0.21/0.54 (step @p18 :rule cnf_or_pos :args (@t30)) % 0.21/0.54 (step @p19 :rule reordering :premises (@p18) :args ((or @t29 @t28 @t27 (not @t30)))) % 0.21/0.54 (step @p20 :rule chain_m_resolution :premises (@p19 @p12 @p13 @p17) :args (@t27 (@list false false false) (@list @t21 @t22 @t30))) % 0.21/0.54 (step @p21 :rule instantiate :premises (@p8) :args (@t31)) % 0.21/0.54 (step @p22 :rule cnf_or_pos :args (@t39)) % 0.21/0.54 (step @p23 :rule reordering :premises (@p22) :args ((or @t29 @t38 @t34 @t37 (not @t39)))) % 0.21/0.54 (step @p24 :rule instantiate :premises (@p1) :args (@t31)) % 0.21/0.54 (step @p25 :rule cnf_or_pos :args (@t42)) % 0.21/0.54 (step @p26 :rule reordering :premises (@p25) :args ((or @t29 @t38 @t41 @t40 (not @t42)))) % 0.21/0.54 (step @p27 :rule instantiate :premises (@p2) :args (@t31)) % 0.21/0.54 (step @p28 :rule cnf_or_pos :args (@t44)) % 0.21/0.54 (step @p29 :rule reordering :premises (@p28) :args ((or @t29 @t38 @t40 @t43 (not @t44)))) % 0.21/0.54 (step @p30 :rule instantiate :premises (@p7) :args (@t31)) % 0.21/0.54 (step @p31 :rule cnf_or_pos :args (@t45)) % 0.21/0.54 (step @p32 :rule reordering :premises (@p31) :args ((or @t29 @t38 @t40 @t37 (not @t45)))) % 0.21/0.54 (step @p33 :rule instantiate :premises (@p11) :args ((@list tptp.sk4 @t35))) % 0.21/0.54 (step @p34 :rule cnf_or_pos :args (@t48)) % 0.21/0.54 (step @p35 :rule reordering :premises (@p34) :args ((or @t29 @t28 @t36 @t47 @t46 (not @t48)))) % 0.21/0.54 (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p13 @p12 @p32 @p30 @p20 @p12 @p29 @p27 @p20 @p12 @p26 @p24 @p20 @p12) :args (@t40 (@list false false false true false false false false false false false false false false false) (@list @t48 @t22 @t21 @t36 @t45 @t27 @t21 @t43 @t44 @t27 @t21 @t41 @t42 @t27 @t21))) % 0.21/0.54 (step @p37 :rule instantiate :premises (@p14) :args (@t49)) % 0.21/0.54 (step @p38 :rule cnf_or_pos :args (@t53)) % 0.21/0.54 (step @p39 :rule reordering :premises (@p38) :args ((or @t33 @t52 @t51 (not @t53)))) % 0.21/0.54 (step @p40 :rule instantiate :premises (@p15) :args (@t49)) % 0.21/0.54 (step @p41 :rule cnf_or_pos :args (@t55)) % 0.21/0.54 (step @p42 :rule reordering :premises (@p41) :args ((or @t33 @t52 @t54 (not @t55)))) % 0.21/0.54 (step @p43 :rule instantiate :premises (@p16) :args (@t49)) % 0.21/0.54 (step @p44 :rule cnf_or_pos :args (@t58)) % 0.21/0.54 (step @p45 :rule reordering :premises (@p44) :args ((or @t33 @t52 @t57 (not @t58)))) % 0.21/0.54 (step @p46 :rule instantiate :premises (@p9) :args (@t59)) % 0.21/0.54 (step @p47 :rule cnf_or_pos :args (@t62)) % 0.21/0.54 (step @p48 :rule reordering :premises (@p47) :args ((or @t29 @t38 @t37 @t56 @t61 @t60 (not @t62)))) % 0.21/0.54 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p20 @p12 @p45 @p43 @p36 @p42 @p40 @p36 @p39 @p37 @p36 @p23 @p21 @p20 @p12) :args (@t37 (@list false false false true false false false false false false false false true false false false) (@list @t62 @t27 @t21 @t56 @t58 @t40 @t54 @t55 @t40 @t51 @t53 @t40 @t33 @t39 @t27 @t21))) % 0.21/0.54 (step @p50 :rule instantiate :premises (@p3) :args (@t31)) % 0.21/0.54 (step @p51 :rule instantiate :premises (@p6) :args (@t59)) % 0.21/0.54 (step @p52 :rule cnf_or_pos :args (@t63)) % 0.21/0.54 (step @p53 :rule reordering :premises (@p52) :args ((or @t29 @t38 @t43 @t56 @t61 @t60 (not @t63)))) % 0.21/0.54 (step @p54 :rule instantiate :premises (@p4) :args (@t59)) % 0.21/0.54 (step @p55 :rule cnf_or_pos :args (@t64)) % 0.21/0.54 (step @p56 :rule reordering :premises (@p55) :args ((or @t29 @t38 @t41 @t56 @t61 @t60 (not @t64)))) % 0.21/0.54 (step @p57 :rule chain_m_resolution :premises (@p35 @p33 @p49 @p13 @p12 @p56 @p54 @p20 @p12 @p53 @p51 @p20 @p12 @p45 @p43 @p36 @p42 @p40 @p36 @p39 @p37 @p36) :args (@t33 (@list false true false false false false false false false false false false true false false false false false false false false) (@list @t48 @t36 @t22 @t21 @t41 @t64 @t27 @t21 @t43 @t63 @t27 @t21 @t56 @t58 @t40 @t54 @t55 @t40 @t51 @t53 @t40))) % 0.21/0.54 (step @p58 :rule cnf_or_pos :args (@t65)) % 0.21/0.54 (step @p59 :rule reordering :premises (@p58) :args ((or @t29 @t38 @t41 @t34 (not @t65)))) % 0.21/0.54 (step @p60 :rule chain_m_resolution :premises (@p59 @p12 @p20 @p57 @p50) :args (@t41 @t66 (@list @t21 @t27 @t33 @t65))) % 0.21/0.54 (step @p61 :rule instantiate :premises (@p5) :args (@t31)) % 0.21/0.54 (step @p62 :rule cnf_or_pos :args (@t67)) % 0.21/0.54 (step @p63 :rule reordering :premises (@p62) :args ((or @t29 @t38 @t43 @t34 (not @t67)))) % 0.21/0.54 (step @p64 :rule chain_m_resolution :premises (@p63 @p12 @p20 @p57 @p61) :args (@t43 @t66 (@list @t21 @t27 @t33 @t67))) % 0.21/0.54 (step @p65 false :rule chain_m_resolution :premises (@p35 @p64 @p60 @p33 @p49 @p13 @p12) :args (false (@list false false false true false false) (@list @t43 @t41 @t48 @t36 @t22 @t21))) % 0.21/0.54 ) % 0.21/0.54 % SZS output end Proof % 0.21/0.54 % cvc5 exiting %------------------------------------------------------------------------------