%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT005-2 : 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 06:04:41 AM UTC 2026 % Result : Unsatisfiable 0.29s 0.57s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT005-2 : 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 % 0.13/0.39 % Computer : n027.cluster.edu % 0.13/0.39 % Model : x86_64 x86_64 % 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.39 % Memory : 8046.5625MB % 0.13/0.39 % OS : Linux 6.8.0-71-generic % 0.13/0.39 % CPULimit : 300 % 0.13/0.39 % WCLimit : 300 % 0.13/0.39 % DateTime : Mon Sep 7 11:44:15 UTC 2026 % 0.13/0.39 % CPUTime : % 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.29/0.57 % SZS status Unsatisfiable % 0.29/0.57 % SZS output start Proof % 0.29/0.58 ( % 0.29/0.58 (declare-sort $$unsorted 0) % 0.29/0.58 (declare-const tptp.sk13 $$unsorted) % 0.29/0.58 (declare-const tptp.sk12 $$unsorted) % 0.29/0.58 (declare-const tptp.sk16 $$unsorted) % 0.29/0.58 (declare-const tptp.sk9 $$unsorted) % 0.29/0.58 (declare-const tptp.sk8 $$unsorted) % 0.29/0.58 (declare-const tptp.sk17 $$unsorted) % 0.29/0.58 (declare-const tptp.sk6 $$unsorted) % 0.29/0.58 (declare-const tptp.sk15 $$unsorted) % 0.29/0.58 (declare-const tptp.sk5 $$unsorted) % 0.29/0.58 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.29/0.58 (declare-const tptp.sk7 $$unsorted) % 0.29/0.58 (declare-const tptp.p1 $$unsorted) % 0.29/0.58 (declare-const tptp.reorganization_free (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.58 (declare-const tptp.sk11 $$unsorted) % 0.29/0.58 (declare-const tptp.complexity (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.58 (declare-const tptp.p2 $$unsorted) % 0.29/0.58 (declare-const tptp.organization (-> $$unsorted $$unsorted Bool)) % 0.29/0.58 (declare-const tptp.sk3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.58 (declare-const tptp.survival_chance (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.58 (declare-const tptp.reorganization_type (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.58 (declare-const tptp.sk1 (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.58 (declare-const tptp.sk10 $$unsorted) % 0.29/0.58 (declare-const tptp.sk4 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.58 (declare-const tptp.reorganization (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.58 (declare-const tptp.sk2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.58 (declare-const tptp.sk14 $$unsorted) % 0.29/0.58 (declare-const tptp.class (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.58 (define @t1 () (@var "B" $$unsorted)) % 0.29/0.58 (define @t2 () (@var "A" $$unsorted)) % 0.29/0.58 (define @t3 () (not (tptp.greater @t2 @t1))) % 0.29/0.58 (define @t4 () (@list @t2 @t1)) % 0.29/0.58 (define @t5 () (@var "C" $$unsorted)) % 0.29/0.58 (define @t6 () (@list @t2 @t1 @t5)) % 0.29/0.58 (define @t7 () (@var "E" $$unsorted)) % 0.29/0.58 (define @t8 () (@var "D" $$unsorted)) % 0.29/0.58 (define @t9 () (@list @t2 @t1 @t5 @t8 @t7)) % 0.29/0.58 (define @t10 () (not (tptp.organization @t2 @t1))) % 0.29/0.58 (define @t11 () (tptp.organization @t2 @t8)) % 0.29/0.58 (define @t12 () (tptp.greater @t8 @t1)) % 0.29/0.58 (define @t13 () (not (tptp.organization @t2 @t5))) % 0.29/0.58 (define @t14 () (tptp.greater @t5 @t1)) % 0.29/0.58 (define @t15 () (not @t14)) % 0.29/0.58 (define @t16 () (@var "G" $$unsorted)) % 0.29/0.58 (define @t17 () (@var "F" $$unsorted)) % 0.29/0.58 (define @t18 () (tptp.greater @t17 @t16)) % 0.29/0.58 (define @t19 () (not (tptp.survival_chance @t2 @t17 @t1))) % 0.29/0.58 (define @t20 () (@var "H" $$unsorted)) % 0.29/0.58 (define @t21 () (@var "I" $$unsorted)) % 0.29/0.58 (define @t22 () (not (tptp.class @t5 @t7 @t1))) % 0.29/0.58 (define @t23 () (not (tptp.class @t2 @t7 @t1))) % 0.29/0.58 (define @t24 () (not (tptp.organization @t5 @t8))) % 0.29/0.58 (define @t25 () (not (tptp.organization @t5 @t1))) % 0.29/0.58 (define @t26 () (@var "J" $$unsorted)) % 0.29/0.58 (define @t27 () (@var "K" $$unsorted)) % 0.29/0.58 (define @t28 () (@var "L" $$unsorted)) % 0.29/0.58 (define @t29 () (tptp.sk2 @t2 @t1 @t20 @t17 @t16 @t8 @t7 @t5)) % 0.29/0.58 (define @t30 () (not @t18)) % 0.29/0.58 (define @t31 () (not (tptp.greater @t16 @t8))) % 0.29/0.58 (define @t32 () (not (tptp.survival_chance @t7 @t20 @t2))) % 0.29/0.58 (define @t33 () (not (tptp.survival_chance @t5 @t16 @t2))) % 0.29/0.58 (define @t34 () (not (tptp.survival_chance @t7 @t17 @t1))) % 0.29/0.58 (define @t35 () (not (tptp.survival_chance @t5 @t8 @t1))) % 0.29/0.58 (define @t36 () (@list @t2 @t1 @t5 @t8 @t7 @t17 @t16 @t20)) % 0.29/0.58 (define @t37 () (tptp.sk3 @t2 @t1 @t20 @t17 @t16 @t8 @t7 @t5)) % 0.29/0.58 (define @t38 () (tptp.sk4 @t2 @t1 @t20 @t17 @t16 @t8 @t7 @t5)) % 0.29/0.58 (define @t39 () (tptp.organization tptp.sk5 tptp.sk15)) % 0.29/0.58 (define @t40 () (tptp.organization tptp.sk6 tptp.sk15)) % 0.29/0.58 (define @t41 () (tptp.organization tptp.sk5 tptp.sk17)) % 0.29/0.58 (define @t42 () (tptp.organization tptp.sk6 tptp.sk17)) % 0.29/0.58 (define @t43 () (tptp.class tptp.sk5 tptp.sk8 tptp.sk15)) % 0.29/0.58 (define @t44 () (tptp.class tptp.sk6 tptp.sk8 tptp.sk15)) % 0.29/0.58 (define @t45 () (tptp.survival_chance tptp.sk5 tptp.sk9 tptp.sk15)) % 0.29/0.58 (define @t46 () (tptp.survival_chance tptp.sk6 tptp.sk9 tptp.sk15)) % 0.29/0.58 (define @t47 () (tptp.reorganization tptp.sk5 tptp.sk15 tptp.sk16)) % 0.29/0.58 (define @t48 () (tptp.reorganization tptp.sk6 tptp.sk15 tptp.sk17)) % 0.29/0.58 (define @t49 () (tptp.reorganization_type tptp.sk5 tptp.sk7 tptp.sk15)) % 0.29/0.58 (define @t50 () (tptp.reorganization_type tptp.sk6 tptp.sk7 tptp.sk15)) % 0.29/0.58 (define @t51 () (tptp.survival_chance tptp.sk5 tptp.sk10 tptp.sk14)) % 0.29/0.58 (define @t52 () (tptp.survival_chance tptp.sk6 tptp.sk11 tptp.sk14)) % 0.29/0.58 (define @t53 () (tptp.complexity tptp.sk5 tptp.sk12 tptp.sk15)) % 0.29/0.58 (define @t54 () (tptp.complexity tptp.sk6 tptp.sk13 tptp.sk15)) % 0.29/0.58 (define @t55 () (tptp.greater tptp.sk13 tptp.sk12)) % 0.29/0.58 (define @t56 () (tptp.greater tptp.sk10 tptp.sk11)) % 0.29/0.58 (define @t57 () (= tptp.sk10 tptp.sk11)) % 0.29/0.58 (define @t58 () (tptp.greater tptp.sk17 tptp.sk16)) % 0.29/0.58 (define @t59 () (not @t55)) % 0.29/0.58 (define @t60 () (not @t54)) % 0.29/0.58 (define @t61 () (not @t53)) % 0.29/0.58 (define @t62 () (not @t50)) % 0.29/0.58 (define @t63 () (not @t49)) % 0.29/0.58 (define @t64 () (not @t48)) % 0.29/0.58 (define @t65 () (not @t47)) % 0.29/0.58 (define @t66 () (not @t44)) % 0.29/0.58 (define @t67 () (not @t43)) % 0.29/0.58 (define @t68 () (not @t42)) % 0.29/0.58 (define @t69 () (not @t40)) % 0.29/0.58 (define @t70 () (not @t39)) % 0.29/0.58 (define @t71 () (or @t70 @t69 @t68 @t67 @t66 @t65 @t64 @t63 @t62 @t61 @t60 @t59 @t58)) % 0.29/0.58 (define @t72 () (tptp.greater tptp.sk16 tptp.sk15)) % 0.29/0.58 (define @t73 () (or @t65 @t72)) % 0.29/0.58 (define @t74 () (tptp.organization tptp.sk6 tptp.sk16)) % 0.29/0.58 (define @t75 () (not @t58)) % 0.29/0.58 (define @t76 () (not @t72)) % 0.29/0.58 (define @t77 () (or @t69 @t68 @t76 @t75 @t74)) % 0.29/0.58 (define @t78 () (@list false false false false false)) % 0.29/0.58 (define @t79 () (tptp.organization tptp.sk6 tptp.sk14)) % 0.29/0.58 (define @t80 () (tptp.reorganization tptp.sk5 tptp.sk15 tptp.sk14)) % 0.29/0.58 (define @t81 () (tptp.organization tptp.sk5 tptp.sk16)) % 0.29/0.58 (define @t82 () (not @t41)) % 0.29/0.58 (define @t83 () (or @t70 @t82 @t76 @t75 @t81)) % 0.29/0.58 (define @t84 () (tptp.organization tptp.sk5 tptp.sk14)) % 0.29/0.58 (define @t85 () (not @t52)) % 0.29/0.58 (define @t86 () (not @t51)) % 0.29/0.58 (define @t87 () (not @t80)) % 0.29/0.58 (define @t88 () (not @t46)) % 0.29/0.58 (define @t89 () (not @t45)) % 0.29/0.58 (define @t90 () (not @t79)) % 0.29/0.58 (define @t91 () (not @t84)) % 0.29/0.58 (define @t92 () (or @t70 @t69 @t91 @t90 @t67 @t66 @t89 @t88 @t87 @t64 @t63 @t62 @t86 @t85 @t61 @t60 @t59 @t56 @t57)) % 0.29/0.58 (assume @p1 (forall @t4 (or @t3 (not (= @t2 @t1))))) % 0.29/0.58 (assume @p2 (forall @t4 (or @t3 (not (tptp.greater @t1 @t2))))) % 0.29/0.58 (assume @p3 (forall @t6 (or @t3 (not (tptp.greater @t1 @t5)) (tptp.greater @t2 @t5)))) % 0.29/0.58 (assume @p4 (forall @t9 (or (not (tptp.survival_chance @t2 @t1 @t5)) (not (tptp.survival_chance @t8 @t7 @t5)) (tptp.greater tptp.p1 tptp.p2) (= tptp.p1 tptp.p2) (tptp.greater tptp.p2 tptp.p1)))) % 0.29/0.58 (assume @p5 (forall @t4 (or @t10 (tptp.survival_chance @t2 (tptp.sk1 @t1 @t2) @t1)))) % 0.29/0.58 (assume @p6 (forall (@list @t2 @t1 @t5 @t8) (or @t10 @t13 (not @t12) (not (tptp.greater @t5 @t8)) @t11))) % 0.29/0.58 (assume @p7 (forall @t6 (or (not (tptp.reorganization @t2 @t1 @t5)) @t14))) % 0.29/0.58 (assume @p8 (forall @t9 (or @t10 @t13 (not (tptp.reorganization_free @t2 @t1 @t5)) (not (tptp.survival_chance @t2 @t8 @t1)) (not (tptp.survival_chance @t2 @t7 @t5)) @t15 (tptp.greater @t7 @t8)))) % 0.29/0.58 (assume @p9 (forall (@list @t2 @t1 @t5 @t8 @t7 @t17 @t16) (or @t10 @t13 (not (tptp.reorganization @t2 @t8 @t7)) @t19 (not (tptp.survival_chance @t2 @t16 @t5)) @t12 @t15 (tptp.greater @t5 @t7) @t18))) % 0.29/0.58 (assume @p10 (forall (@list @t2 @t1 @t5 @t8 @t7 @t17 @t16 @t20 @t21) (or @t10 @t25 @t24 @t23 @t22 (not (tptp.reorganization @t2 @t1 @t17)) (not (tptp.reorganization @t5 @t1 @t8)) (not (tptp.reorganization_type @t2 @t16 @t1)) (not (tptp.reorganization_type @t5 @t16 @t1)) (not (tptp.complexity @t2 @t20 @t1)) (not (tptp.complexity @t5 @t21 @t1)) (not (tptp.greater @t21 @t20)) (tptp.greater @t8 @t17)))) % 0.29/0.58 (assume @p11 (forall (@list @t2 @t1 @t5 @t8 @t7 @t17 @t16 @t20 @t21 @t26 @t27 @t28) (or @t10 @t25 (not @t11) @t24 @t23 @t22 @t19 (not (tptp.survival_chance @t5 @t17 @t1)) (not (tptp.reorganization @t2 @t1 @t8)) (not (tptp.reorganization @t5 @t1 @t16)) (not (tptp.reorganization_type @t2 @t20 @t1)) (not (tptp.reorganization_type @t5 @t20 @t1)) (not (tptp.survival_chance @t2 @t21 @t8)) (not (tptp.survival_chance @t5 @t26 @t8)) (not (tptp.complexity @t2 @t27 @t1)) (not (tptp.complexity @t5 @t28 @t1)) (not (tptp.greater @t28 @t27)) (tptp.greater @t21 @t26) (= @t21 @t26)))) % 0.29/0.58 (assume @p12 (forall @t36 (or @t3 @t35 @t34 @t33 @t32 @t31 @t30 (tptp.greater @t29 @t1)))) % 0.29/0.58 (assume @p13 (forall @t36 (or @t3 @t35 @t34 @t33 @t32 @t31 @t30 (tptp.greater @t2 @t29)))) % 0.29/0.58 (assume @p14 (forall @t36 (or @t3 @t35 @t34 @t33 @t32 @t31 @t30 (tptp.survival_chance @t5 @t37 @t29)))) % 0.29/0.58 (assume @p15 (forall @t36 (or @t3 @t35 @t34 @t33 @t32 @t31 @t30 (tptp.survival_chance @t7 @t38 @t29)))) % 0.29/0.58 (assume @p16 (forall @t36 (or @t3 @t35 @t34 @t33 @t32 @t31 @t30 (= @t37 @t38)))) % 0.29/0.58 (assume @p17 @t39) % 0.29/0.58 (assume @p18 @t40) % 0.29/0.58 (assume @p19 @t41) % 0.29/0.58 (assume @p20 @t42) % 0.29/0.58 (assume @p21 @t43) % 0.29/0.58 (assume @p22 @t44) % 0.29/0.58 (assume @p23 @t45) % 0.29/0.58 (assume @p24 @t46) % 0.29/0.58 (assume @p25 @t47) % 0.29/0.58 (assume @p26 @t48) % 0.29/0.58 (assume @p27 @t49) % 0.29/0.58 (assume @p28 @t50) % 0.29/0.58 (assume @p29 (tptp.reorganization_free tptp.sk5 tptp.sk16 tptp.sk17)) % 0.29/0.58 (assume @p30 @t51) % 0.29/0.58 (assume @p31 @t52) % 0.29/0.58 (assume @p32 @t53) % 0.29/0.58 (assume @p33 @t54) % 0.29/0.58 (assume @p34 @t55) % 0.29/0.58 (assume @p35 (or (not (= tptp.sk14 tptp.sk17)) @t56)) % 0.29/0.58 (assume @p36 (= tptp.sk14 tptp.sk16)) % 0.29/0.58 (assume @p37 (not @t56)) % 0.29/0.58 (assume @p38 (not @t57)) % 0.29/0.58 (step @p39 :rule evaluate :args ((= false true))) % 0.29/0.58 (step @p40 :rule instantiate :premises (@p6) :args ((@list tptp.sk6 tptp.sk15 tptp.sk17 tptp.sk16))) % 0.29/0.58 (step @p41 :rule instantiate :premises (@p10) :args ((@list tptp.sk5 tptp.sk15 tptp.sk6 tptp.sk17 tptp.sk8 tptp.sk16 tptp.sk7 tptp.sk12 tptp.sk13))) % 0.29/0.58 (step @p42 :rule cnf_or_pos :args (@t71)) % 0.29/0.58 (step @p43 :rule reordering :premises (@p42) :args ((or @t70 @t69 @t68 @t67 @t66 @t65 @t64 @t63 @t62 @t61 @t60 @t59 @t58 (not @t71)))) % 0.29/0.58 (step @p44 :rule chain_m_resolution :premises (@p43 @p17 @p18 @p20 @p21 @p22 @p25 @p26 @p27 @p28 @p32 @p33 @p34 @p41) :args (@t58 (@list false false false false false false false false false false false false false) (@list @t39 @t40 @t42 @t43 @t44 @t47 @t48 @t49 @t50 @t53 @t54 @t55 @t71))) % 0.29/0.58 (step @p45 :rule instantiate :premises (@p7) :args ((@list tptp.sk5 tptp.sk15 tptp.sk16))) % 0.29/0.58 (step @p46 :rule cnf_or_pos :args (@t73)) % 0.29/0.58 (step @p47 :rule reordering :premises (@p46) :args ((or @t65 @t72 (not @t73)))) % 0.29/0.58 (step @p48 :rule chain_m_resolution :premises (@p47 @p25 @p45) :args (@t72 (@list false false) (@list @t47 @t73))) % 0.29/0.58 (step @p49 :rule cnf_or_pos :args (@t77)) % 0.29/0.58 (step @p50 :rule reordering :premises (@p49) :args ((or @t69 @t68 @t76 @t75 @t74 (not @t77)))) % 0.29/0.58 (step @p51 :rule chain_m_resolution :premises (@p50 @p18 @p20 @p48 @p44 @p40) :args (@t74 @t78 (@list @t40 @t42 @t72 @t58 @t77))) % 0.29/0.58 (step @p52 :rule true_intro :premises (@p51)) % 0.29/0.58 (step @p53 :rule refl :args (tptp.sk6)) % 0.29/0.58 (step @p54 :rule cong :premises (@p53 @p36) :args (@t79)) % 0.29/0.58 (step @p55 :rule instantiate :premises (@p11) :args ((@list tptp.sk5 tptp.sk15 tptp.sk6 tptp.sk14 tptp.sk8 tptp.sk9 tptp.sk17 tptp.sk7 tptp.sk10 tptp.sk11 tptp.sk12 tptp.sk13))) % 0.29/0.58 (step @p56 :rule true_intro :premises (@p25)) % 0.29/0.58 (step @p57 :rule refl :args (tptp.sk15)) % 0.29/0.58 (step @p58 :rule refl :args (tptp.sk5)) % 0.29/0.58 (step @p59 :rule cong :premises (@p58 @p57 @p36) :args (@t80)) % 0.29/0.58 (step @p60 :rule trans :premises (@p59 @p56)) % 0.29/0.58 (step @p61 :rule true_elim :premises (@p60)) % 0.29/0.58 (step @p62 :rule instantiate :premises (@p6) :args ((@list tptp.sk5 tptp.sk15 tptp.sk17 tptp.sk16))) % 0.29/0.58 (step @p63 :rule cnf_or_pos :args (@t83)) % 0.29/0.58 (step @p64 :rule reordering :premises (@p63) :args ((or @t70 @t82 @t76 @t75 @t81 (not @t83)))) % 0.29/0.58 (step @p65 :rule chain_m_resolution :premises (@p64 @p17 @p19 @p48 @p44 @p62) :args (@t81 @t78 (@list @t39 @t41 @t72 @t58 @t83))) % 0.29/0.58 (step @p66 :rule true_intro :premises (@p65)) % 0.29/0.58 (step @p67 :rule cong :premises (@p58 @p36) :args (@t84)) % 0.29/0.58 (step @p68 :rule trans :premises (@p67 @p66)) % 0.29/0.58 (step @p69 :rule true_elim :premises (@p68)) % 0.29/0.58 (step @p70 :rule cnf_or_pos :args (@t92)) % 0.29/0.58 (step @p71 :rule reordering :premises (@p70) :args ((or @t56 @t57 @t70 @t69 @t67 @t66 @t89 @t88 @t64 @t63 @t62 @t86 @t85 @t61 @t60 @t59 @t91 @t90 @t87 (not @t92)))) % 0.29/0.58 (step @p72 :rule chain_m_resolution :premises (@p71 @p37 @p38 @p17 @p18 @p21 @p22 @p23 @p24 @p26 @p27 @p28 @p30 @p31 @p32 @p33 @p34 @p69 @p61 @p55) :args (@t90 (@list true true false false false false false false false false false false false false false false false false false) (@list @t56 @t57 @t39 @t40 @t43 @t44 @t45 @t46 @t48 @t49 @t50 @t51 @t52 @t53 @t54 @t55 @t84 @t80 @t92))) % 0.29/0.58 (step @p73 :rule false_intro :premises (@p72)) % 0.29/0.58 (step @p74 :rule symm :premises (@p73)) % 0.29/0.58 (step @p75 :rule trans :premises (@p74 @p54 @p52)) % 0.29/0.58 (step @p76 false :rule eq_resolve :premises (@p75 @p39)) % 0.29/0.58 ) % 0.29/0.58 % SZS output end Proof % 0.29/0.58 % cvc5 exiting %------------------------------------------------------------------------------