%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT024-1 : 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 : n007.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 : Unsatisfiable 0.19s 0.51s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT024-1 : 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 % 0.09/0.36 % Computer : n007.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 12:07:11 UTC 2026 % 0.02/0.36 % CPUTime : % 0.02/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.02/0.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.19/0.51 % SZS status Unsatisfiable % 0.19/0.51 % SZS output start Proof % 0.19/0.52 ( % 0.19/0.52 (declare-sort $$unsorted 0) % 0.19/0.52 (declare-const tptp.sk1 $$unsorted) % 0.19/0.52 (declare-const tptp.in_environment (-> $$unsorted $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.efficient_producers $$unsorted) % 0.19/0.52 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.zero $$unsorted) % 0.19/0.52 (declare-const tptp.subpopulations (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.resources (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.52 (declare-const tptp.environment (-> $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.number_of_organizations (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.52 (declare-const tptp.sk2 $$unsorted) % 0.19/0.52 (declare-const tptp.equilibrium (-> $$unsorted $$unsorted)) % 0.19/0.52 (declare-const tptp.growth_rate (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.52 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.first_movers $$unsorted) % 0.19/0.52 (declare-const tptp.decreases (-> $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.constant (-> $$unsorted Bool)) % 0.19/0.52 (define @t1 () (@var "B" $$unsorted)) % 0.19/0.52 (define @t2 () (@var "A" $$unsorted)) % 0.19/0.52 (define @t3 () (tptp.in_environment @t2 @t1)) % 0.19/0.52 (define @t4 () (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t2 @t1))) % 0.19/0.52 (define @t5 () (not (tptp.environment @t2))) % 0.19/0.52 (define @t6 () (@list @t2 @t1)) % 0.19/0.52 (define @t7 () (tptp.number_of_organizations @t2 @t1)) % 0.19/0.52 (define @t8 () (tptp.greater @t7 tptp.zero)) % 0.19/0.52 (define @t9 () (tptp.equilibrium @t2)) % 0.19/0.52 (define @t10 () (tptp.greater @t9 @t1)) % 0.19/0.52 (define @t11 () (not @t10)) % 0.19/0.52 (define @t12 () (tptp.resources @t2 @t1)) % 0.19/0.52 (define @t13 () (tptp.decreases @t12)) % 0.19/0.52 (define @t14 () (not @t8)) % 0.19/0.52 (define @t15 () (not @t3)) % 0.19/0.52 (define @t16 () (tptp.constant @t12)) % 0.19/0.52 (define @t17 () (tptp.constant @t7)) % 0.19/0.52 (define @t18 () (tptp.growth_rate tptp.efficient_producers @t1)) % 0.19/0.52 (define @t19 () (tptp.greater @t18 tptp.zero)) % 0.19/0.52 (define @t20 () (tptp.growth_rate tptp.first_movers @t1)) % 0.19/0.52 (define @t21 () (tptp.greater @t20 tptp.zero)) % 0.19/0.52 (define @t22 () (= @t20 tptp.zero)) % 0.19/0.52 (define @t23 () (not @t17)) % 0.19/0.52 (define @t24 () (or @t5 @t4 @t23 @t22 @t21 @t19)) % 0.19/0.52 (define @t25 () (forall @t6 @t24)) % 0.19/0.52 (define @t26 () (tptp.greater tptp.zero @t20)) % 0.19/0.52 (define @t27 () (or @t5 @t4 @t23 @t22 @t21 @t26)) % 0.19/0.52 (define @t28 () (forall @t6 @t27)) % 0.19/0.52 (define @t29 () (tptp.greater tptp.zero @t18)) % 0.19/0.52 (define @t30 () (or @t5 @t4 @t23 @t22 @t29 @t19)) % 0.19/0.52 (define @t31 () (forall @t6 @t30)) % 0.19/0.52 (define @t32 () (or @t5 @t4 @t23 @t22 @t29 @t26)) % 0.19/0.52 (define @t33 () (forall @t6 @t32)) % 0.19/0.52 (define @t34 () (= @t18 tptp.zero)) % 0.19/0.52 (define @t35 () (or @t5 @t4 @t23 @t34 @t21 @t19)) % 0.19/0.52 (define @t36 () (forall @t6 @t35)) % 0.19/0.52 (define @t37 () (or @t5 @t4 @t23 @t34 @t21 @t26)) % 0.19/0.52 (define @t38 () (forall @t6 @t37)) % 0.19/0.52 (define @t39 () (or @t5 @t4 @t23 @t34 @t29 @t19)) % 0.19/0.52 (define @t40 () (forall @t6 @t39)) % 0.19/0.52 (define @t41 () (or @t5 @t4 @t23 @t34 @t29 @t26)) % 0.19/0.52 (define @t42 () (forall @t6 @t41)) % 0.19/0.52 (define @t43 () (tptp.environment tptp.sk1)) % 0.19/0.52 (define @t44 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk1 tptp.sk2)) % 0.19/0.52 (define @t45 () (tptp.equilibrium tptp.sk1)) % 0.19/0.52 (define @t46 () (tptp.greater_or_equal tptp.sk2 @t45)) % 0.19/0.52 (define @t47 () (tptp.growth_rate tptp.efficient_producers tptp.sk2)) % 0.19/0.52 (define @t48 () (not (= @t47 tptp.zero))) % 0.19/0.52 (define @t49 () (tptp.growth_rate tptp.first_movers tptp.sk2)) % 0.19/0.52 (define @t50 () (not (= @t49 tptp.zero))) % 0.19/0.52 (define @t51 () (or @t50 @t48)) % 0.19/0.52 (define @t52 () (tptp.greater tptp.zero @t47)) % 0.19/0.52 (define @t53 () (not @t52)) % 0.19/0.52 (define @t54 () (tptp.greater @t49 tptp.zero)) % 0.19/0.52 (define @t55 () (tptp.greater tptp.zero @t49)) % 0.19/0.52 (define @t56 () (tptp.greater @t47 tptp.zero)) % 0.19/0.52 (define @t57 () (@list tptp.sk1 tptp.sk2)) % 0.19/0.52 (define @t58 () (tptp.number_of_organizations tptp.sk1 tptp.sk2)) % 0.19/0.52 (define @t59 () (tptp.greater @t58 tptp.zero)) % 0.19/0.52 (define @t60 () (not @t44)) % 0.19/0.52 (define @t61 () (not @t43)) % 0.19/0.52 (define @t62 () (or @t61 @t60 @t59)) % 0.19/0.52 (define @t63 () (@list false false false)) % 0.19/0.52 (define @t64 () (tptp.in_environment tptp.sk1 tptp.sk2)) % 0.19/0.52 (define @t65 () (or @t61 @t60 @t64)) % 0.19/0.52 (define @t66 () (tptp.greater @t45 tptp.sk2)) % 0.19/0.52 (define @t67 () (not @t66)) % 0.19/0.52 (define @t68 () (not @t46)) % 0.19/0.52 (define @t69 () (or @t61 @t68 @t67)) % 0.19/0.52 (define @t70 () (tptp.constant (tptp.resources tptp.sk1 tptp.sk2))) % 0.19/0.52 (define @t71 () (not @t59)) % 0.19/0.52 (define @t72 () (not @t64)) % 0.19/0.52 (define @t73 () (or @t61 @t72 @t71 @t66 @t70)) % 0.19/0.52 (define @t74 () (tptp.constant @t58)) % 0.19/0.52 (define @t75 () (not @t70)) % 0.19/0.52 (define @t76 () (or @t61 @t72 @t75 @t74)) % 0.19/0.52 (define @t77 () (= tptp.zero @t49)) % 0.19/0.52 (define @t78 () (not @t74)) % 0.19/0.52 (define @t79 () (or @t61 @t60 @t78 @t77 @t54 @t55)) % 0.19/0.52 (define @t80 () (or @t61 @t60 @t78 @t77 @t52 @t55)) % 0.19/0.52 (define @t81 () (or @t61 @t60 @t78 @t77 @t54 @t56)) % 0.19/0.52 (define @t82 () (or @t61 @t60 @t78 @t77 @t52 @t56)) % 0.19/0.52 (define @t83 () (= tptp.zero @t47)) % 0.19/0.52 (define @t84 () (@list false)) % 0.19/0.52 (define @t85 () (or @t61 @t60 @t78 @t83 @t54 @t56)) % 0.19/0.52 (define @t86 () (or @t61 @t60 @t78 @t83 @t54 @t55)) % 0.19/0.52 (define @t87 () (or @t61 @t60 @t78 @t83 @t52 @t56)) % 0.19/0.52 (define @t88 () (@list true true false false false false)) % 0.19/0.52 (define @t89 () (or @t61 @t60 @t78 @t83 @t52 @t55)) % 0.19/0.52 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.19/0.52 (assume @p2 (forall @t6 (or @t5 @t4 @t8))) % 0.19/0.52 (assume @p3 (forall @t6 (or @t5 (not (tptp.greater_or_equal @t1 @t9)) @t11))) % 0.19/0.52 (assume @p4 (forall @t6 (or @t5 @t15 @t14 @t11 @t13))) % 0.19/0.52 (assume @p5 (forall @t6 (or @t5 @t15 @t14 @t10 @t16))) % 0.19/0.52 (assume @p6 (forall @t6 (or @t5 @t15 (not @t13) (not (tptp.decreases @t7))))) % 0.19/0.52 (assume @p7 (forall @t6 (or @t5 @t15 (not @t16) @t17))) % 0.19/0.52 (assume @p8 @t25) % 0.19/0.52 (assume @p9 @t28) % 0.19/0.52 (assume @p10 @t31) % 0.19/0.52 (assume @p11 @t33) % 0.19/0.52 (assume @p12 @t36) % 0.19/0.52 (assume @p13 @t38) % 0.19/0.52 (assume @p14 @t40) % 0.19/0.52 (assume @p15 @t42) % 0.19/0.52 (assume @p16 @t43) % 0.19/0.52 (assume @p17 @t44) % 0.19/0.52 (assume @p18 @t46) % 0.19/0.52 (assume @p19 @t51) % 0.19/0.52 (assume @p20 (or (not @t54) @t53)) % 0.19/0.52 (assume @p21 (or (not @t56) (not @t55))) % 0.19/0.52 (step @p22 :rule refl :args (@t19)) % 0.19/0.52 (step @p23 :rule refl :args (@t29)) % 0.19/0.52 (step @p24 :rule eq-symm :args (@t18 tptp.zero)) % 0.19/0.52 (step @p25 :rule refl :args (@t23)) % 0.19/0.52 (step @p26 :rule refl :args (@t4)) % 0.19/0.52 (step @p27 :rule refl :args (@t5)) % 0.19/0.52 (step @p28 :rule nary_cong :premises (@p27 @p26 @p25 @p24 @p23 @p22) :args (@t39)) % 0.19/0.52 (step @p29 :rule cong :premises (@p28) :args (@t40)) % 0.19/0.52 (step @p30 :rule eq_resolve :premises (@p14 @p29)) % 0.19/0.52 (step @p31 :rule instantiate :premises (@p30) :args (@t57)) % 0.19/0.52 (step @p32 :rule instantiate :premises (@p7) :args (@t57)) % 0.19/0.52 (step @p33 :rule instantiate :premises (@p5) :args (@t57)) % 0.19/0.52 (step @p34 :rule instantiate :premises (@p2) :args (@t57)) % 0.19/0.52 (step @p35 :rule cnf_or_pos :args (@t62)) % 0.19/0.52 (step @p36 :rule reordering :premises (@p35) :args ((or @t61 @t60 @t59 (not @t62)))) % 0.19/0.52 (step @p37 :rule chain_m_resolution :premises (@p36 @p16 @p17 @p34) :args (@t59 @t63 (@list @t43 @t44 @t62))) % 0.19/0.52 (step @p38 :rule instantiate :premises (@p1) :args (@t57)) % 0.19/0.52 (step @p39 :rule cnf_or_pos :args (@t65)) % 0.19/0.52 (step @p40 :rule reordering :premises (@p39) :args ((or @t61 @t60 @t64 (not @t65)))) % 0.19/0.52 (step @p41 :rule chain_m_resolution :premises (@p40 @p16 @p17 @p38) :args (@t64 @t63 (@list @t43 @t44 @t65))) % 0.19/0.52 (step @p42 :rule instantiate :premises (@p3) :args (@t57)) % 0.19/0.52 (step @p43 :rule cnf_or_pos :args (@t69)) % 0.19/0.52 (step @p44 :rule reordering :premises (@p43) :args ((or @t61 @t68 @t67 (not @t69)))) % 0.19/0.52 (step @p45 :rule chain_m_resolution :premises (@p44 @p16 @p18 @p42) :args (@t67 @t63 (@list @t43 @t46 @t69))) % 0.19/0.52 (step @p46 :rule cnf_or_pos :args (@t73)) % 0.19/0.52 (step @p47 :rule reordering :premises (@p46) :args ((or @t61 @t66 @t72 @t71 @t70 (not @t73)))) % 0.19/0.52 (step @p48 :rule chain_m_resolution :premises (@p47 @p16 @p45 @p41 @p37 @p33) :args (@t70 (@list false true false false false) (@list @t43 @t66 @t64 @t59 @t73))) % 0.19/0.52 (step @p49 :rule cnf_or_pos :args (@t76)) % 0.19/0.52 (step @p50 :rule reordering :premises (@p49) :args ((or @t61 @t74 @t72 @t75 (not @t76)))) % 0.19/0.52 (step @p51 :rule chain_m_resolution :premises (@p50 @p16 @p41 @p48 @p32) :args (@t74 (@list false false false false) (@list @t43 @t64 @t70 @t76))) % 0.19/0.52 (step @p52 :rule refl :args (@t26)) % 0.19/0.52 (step @p53 :rule refl :args (@t21)) % 0.19/0.52 (step @p54 :rule eq-symm :args (@t20 tptp.zero)) % 0.19/0.52 (step @p55 :rule nary_cong :premises (@p27 @p26 @p25 @p54 @p53 @p52) :args (@t27)) % 0.19/0.52 (step @p56 :rule cong :premises (@p55) :args (@t28)) % 0.19/0.52 (step @p57 :rule eq_resolve :premises (@p9 @p56)) % 0.19/0.52 (step @p58 :rule instantiate :premises (@p57) :args (@t57)) % 0.19/0.52 (step @p59 :rule cnf_or_pos :args (@t79)) % 0.19/0.52 (step @p60 :rule reordering :premises (@p59) :args ((or @t54 @t55 @t77 @t61 @t60 @t78 (not @t79)))) % 0.19/0.52 (step @p61 :rule nary_cong :premises (@p27 @p26 @p25 @p54 @p23 @p52) :args (@t32)) % 0.19/0.52 (step @p62 :rule cong :premises (@p61) :args (@t33)) % 0.19/0.52 (step @p63 :rule eq_resolve :premises (@p11 @p62)) % 0.19/0.52 (step @p64 :rule instantiate :premises (@p63) :args (@t57)) % 0.19/0.52 (step @p65 :rule cnf_or_pos :args (@t80)) % 0.19/0.52 (step @p66 :rule reordering :premises (@p65) :args ((or @t52 @t55 @t77 @t61 @t60 @t78 (not @t80)))) % 0.19/0.52 (step @p67 :rule chain_m_resolution :premises (@p20 @p66 @p64 @p51 @p17 @p16 @p60 @p58 @p51 @p17 @p16) :args ((or @t55 @t77) (@list false false false false false false false false false false) (@list @t52 @t80 @t74 @t44 @t43 @t54 @t79 @t74 @t44 @t43))) % 0.19/0.52 (step @p68 :rule nary_cong :premises (@p27 @p26 @p25 @p54 @p53 @p22) :args (@t24)) % 0.19/0.52 (step @p69 :rule cong :premises (@p68) :args (@t25)) % 0.19/0.52 (step @p70 :rule eq_resolve :premises (@p8 @p69)) % 0.19/0.52 (step @p71 :rule instantiate :premises (@p70) :args (@t57)) % 0.19/0.52 (step @p72 :rule cnf_or_pos :args (@t81)) % 0.19/0.52 (step @p73 :rule reordering :premises (@p72) :args ((or @t54 @t56 @t77 @t61 @t60 @t78 (not @t81)))) % 0.19/0.52 (step @p74 :rule nary_cong :premises (@p27 @p26 @p25 @p54 @p23 @p22) :args (@t30)) % 0.19/0.52 (step @p75 :rule cong :premises (@p74) :args (@t31)) % 0.19/0.52 (step @p76 :rule eq_resolve :premises (@p10 @p75)) % 0.19/0.52 (step @p77 :rule instantiate :premises (@p76) :args (@t57)) % 0.19/0.52 (step @p78 :rule cnf_or_pos :args (@t82)) % 0.19/0.52 (step @p79 :rule reordering :premises (@p78) :args ((or @t52 @t56 @t77 @t61 @t60 @t78 (not @t82)))) % 0.19/0.52 (step @p80 :rule chain_m_resolution :premises (@p20 @p79 @p77 @p51 @p17 @p16 @p73 @p71 @p51 @p17 @p16 @p21 @p67) :args (@t77 (@list false false false false false false false false false false true false) (@list @t52 @t82 @t74 @t44 @t43 @t54 @t81 @t74 @t44 @t43 @t56 @t55))) % 0.19/0.52 (step @p81 :rule eq-symm :args (@t47 tptp.zero)) % 0.19/0.52 (step @p82 :rule cong :premises (@p81) :args (@t48)) % 0.19/0.52 (step @p83 :rule eq-symm :args (@t49 tptp.zero)) % 0.19/0.52 (step @p84 :rule cong :premises (@p83) :args (@t50)) % 0.19/0.52 (step @p85 :rule nary_cong :premises (@p84 @p82) :args (@t51)) % 0.19/0.52 (step @p86 :rule eq_resolve :premises (@p19 @p85)) % 0.19/0.52 (step @p87 :rule chain_m_resolution :premises (@p86 @p80) :args ((not @t83) @t84 (@list @t77))) % 0.19/0.52 (step @p88 :rule nary_cong :premises (@p27 @p26 @p25 @p24 @p53 @p22) :args (@t35)) % 0.19/0.52 (step @p89 :rule cong :premises (@p88) :args (@t36)) % 0.19/0.52 (step @p90 :rule eq_resolve :premises (@p12 @p89)) % 0.19/0.52 (step @p91 :rule instantiate :premises (@p90) :args (@t57)) % 0.19/0.52 (step @p92 :rule cnf_or_pos :args (@t85)) % 0.19/0.52 (step @p93 :rule reordering :premises (@p92) :args ((or @t54 @t56 @t83 @t61 @t60 @t78 (not @t85)))) % 0.19/0.52 (step @p94 :rule nary_cong :premises (@p27 @p26 @p25 @p24 @p53 @p52) :args (@t37)) % 0.19/0.52 (step @p95 :rule cong :premises (@p94) :args (@t38)) % 0.19/0.52 (step @p96 :rule eq_resolve :premises (@p13 @p95)) % 0.19/0.52 (step @p97 :rule instantiate :premises (@p96) :args (@t57)) % 0.19/0.52 (step @p98 :rule cnf_or_pos :args (@t86)) % 0.19/0.52 (step @p99 :rule reordering :premises (@p98) :args ((or @t54 @t55 @t83 @t61 @t60 @t78 (not @t86)))) % 0.19/0.52 (step @p100 :rule chain_m_resolution :premises (@p21 @p99 @p97 @p51 @p87 @p17 @p16 @p93 @p91 @p51 @p87 @p17 @p16) :args (@t54 (@list false false false true false false false false false true false false) (@list @t55 @t86 @t74 @t83 @t44 @t43 @t56 @t85 @t74 @t83 @t44 @t43))) % 0.19/0.52 (step @p101 :rule chain_m_resolution :premises (@p20 @p100) :args (@t53 @t84 (@list @t54))) % 0.19/0.52 (step @p102 :rule cnf_or_pos :args (@t87)) % 0.19/0.52 (step @p103 :rule reordering :premises (@p102) :args ((or @t52 @t56 @t83 @t61 @t60 @t78 (not @t87)))) % 0.19/0.52 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p87 @p16 @p17 @p51 @p31) :args (@t56 @t88 (@list @t52 @t83 @t43 @t44 @t74 @t87))) % 0.19/0.52 (step @p105 :rule nary_cong :premises (@p27 @p26 @p25 @p24 @p23 @p52) :args (@t41)) % 0.19/0.52 (step @p106 :rule cong :premises (@p105) :args (@t42)) % 0.19/0.52 (step @p107 :rule eq_resolve :premises (@p15 @p106)) % 0.19/0.52 (step @p108 :rule instantiate :premises (@p107) :args (@t57)) % 0.19/0.52 (step @p109 :rule cnf_or_pos :args (@t89)) % 0.19/0.52 (step @p110 :rule reordering :premises (@p109) :args ((or @t52 @t55 @t83 @t61 @t60 @t78 (not @t89)))) % 0.19/0.52 (step @p111 :rule chain_m_resolution :premises (@p110 @p101 @p87 @p16 @p17 @p51 @p108) :args (@t55 @t88 (@list @t52 @t83 @t43 @t44 @t74 @t89))) % 0.19/0.52 (step @p112 false :rule chain_m_resolution :premises (@p21 @p111 @p104) :args (false (@list false false) (@list @t55 @t56))) % 0.19/0.52 ) % 0.19/0.52 % SZS output end Proof % 0.19/0.52 % cvc5 exiting %------------------------------------------------------------------------------