%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT012-1 : 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 : n006.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 06:04:42 AM UTC 2026 % Result : Unsatisfiable 0.22s 0.52s % Output : Proof 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT012-1 : 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 % 0.12/0.38 % Computer : n006.cluster.edu % 0.12/0.38 % Model : x86_64 x86_64 % 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.38 % Memory : 8046.5625MB % 0.12/0.38 % OS : Linux 6.8.0-71-generic % 0.12/0.38 % CPULimit : 300 % 0.12/0.38 % WCLimit : 300 % 0.12/0.38 % DateTime : Mon Sep 7 11:51:01 UTC 2026 % 0.12/0.38 % CPUTime : % 0.12/0.46 %----Proving TF0_NAR, FOF, or CNF % 0.22/0.47 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.22/0.52 % SZS status Unsatisfiable % 0.22/0.52 % SZS output start Proof % 0.22/0.53 ( % 0.22/0.53 (declare-sort $$unsorted 0) % 0.22/0.53 (declare-const tptp.sk5 $$unsorted) % 0.22/0.53 (declare-const tptp.sk7 $$unsorted) % 0.22/0.53 (declare-const tptp.sk3 $$unsorted) % 0.22/0.53 (declare-const tptp.sk6 $$unsorted) % 0.22/0.53 (declare-const tptp.complexity (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.22/0.53 (declare-const tptp.class (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.22/0.53 (declare-const tptp.sk2 (-> $$unsorted $$unsorted $$unsorted)) % 0.22/0.53 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.22/0.53 (declare-const tptp.reorganization_free (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.22/0.53 (declare-const tptp.organization (-> $$unsorted $$unsorted Bool)) % 0.22/0.53 (declare-const tptp.sk4 $$unsorted) % 0.22/0.53 (declare-const tptp.inertia (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.22/0.53 (declare-const tptp.sk1 (-> $$unsorted $$unsorted $$unsorted)) % 0.22/0.53 (define @t1 () (@var "B" $$unsorted)) % 0.22/0.53 (define @t2 () (@var "A" $$unsorted)) % 0.22/0.53 (define @t3 () (not (tptp.organization @t2 @t1))) % 0.22/0.53 (define @t4 () (@list @t2 @t1)) % 0.22/0.53 (define @t5 () (not (tptp.greater @t2 @t1))) % 0.22/0.53 (define @t6 () (forall @t4 (or @t5 (not (tptp.greater @t1 @t2))))) % 0.22/0.53 (define @t7 () (@var "E" $$unsorted)) % 0.22/0.53 (define @t8 () (@var "D" $$unsorted)) % 0.22/0.53 (define @t9 () (@var "C" $$unsorted)) % 0.22/0.53 (define @t10 () (not (tptp.reorganization_free @t2 @t1 @t9))) % 0.22/0.53 (define @t11 () (not (tptp.organization @t2 @t9))) % 0.22/0.53 (define @t12 () (@list @t2 @t1 @t9 @t8 @t7)) % 0.22/0.53 (define @t13 () (@var "H" $$unsorted)) % 0.22/0.53 (define @t14 () (@var "I" $$unsorted)) % 0.22/0.53 (define @t15 () (@var "F" $$unsorted)) % 0.22/0.53 (define @t16 () (@var "G" $$unsorted)) % 0.22/0.53 (define @t17 () (tptp.organization tptp.sk3 tptp.sk6)) % 0.22/0.53 (define @t18 () (tptp.organization tptp.sk3 tptp.sk7)) % 0.22/0.53 (define @t19 () (tptp.reorganization_free tptp.sk3 tptp.sk6 tptp.sk7)) % 0.22/0.53 (define @t20 () (tptp.complexity tptp.sk3 tptp.sk4 tptp.sk6)) % 0.22/0.53 (define @t21 () (tptp.complexity tptp.sk3 tptp.sk5 tptp.sk7)) % 0.22/0.53 (define @t22 () (tptp.greater tptp.sk7 tptp.sk6)) % 0.22/0.53 (define @t23 () (tptp.greater tptp.sk4 tptp.sk5)) % 0.22/0.53 (define @t24 () (tptp.sk1 tptp.sk7 tptp.sk3)) % 0.22/0.53 (define @t25 () (tptp.sk1 tptp.sk6 tptp.sk3)) % 0.22/0.53 (define @t26 () (@list tptp.sk3 tptp.sk7)) % 0.22/0.53 (define @t27 () (tptp.inertia tptp.sk3 @t24 tptp.sk7)) % 0.22/0.53 (define @t28 () (not @t18)) % 0.22/0.53 (define @t29 () (or @t28 @t27)) % 0.22/0.53 (define @t30 () (@list false false)) % 0.22/0.53 (define @t31 () (@list tptp.sk3 tptp.sk6)) % 0.22/0.53 (define @t32 () (tptp.inertia tptp.sk3 @t25 tptp.sk6)) % 0.22/0.53 (define @t33 () (not @t17)) % 0.22/0.53 (define @t34 () (or @t33 @t32)) % 0.22/0.53 (define @t35 () (tptp.greater @t24 @t25)) % 0.22/0.53 (define @t36 () (not @t22)) % 0.22/0.53 (define @t37 () (not @t27)) % 0.22/0.53 (define @t38 () (not @t32)) % 0.22/0.53 (define @t39 () (not @t19)) % 0.22/0.53 (define @t40 () (or @t33 @t28 @t39 @t38 @t37 @t36 @t35)) % 0.22/0.53 (define @t41 () (tptp.sk2 tptp.sk7 tptp.sk3)) % 0.22/0.53 (define @t42 () (tptp.sk2 tptp.sk6 tptp.sk3)) % 0.22/0.53 (define @t43 () (tptp.class tptp.sk3 @t42 tptp.sk6)) % 0.22/0.53 (define @t44 () (or @t33 @t43)) % 0.22/0.53 (define @t45 () (tptp.class tptp.sk3 @t41 tptp.sk7)) % 0.22/0.53 (define @t46 () (or @t28 @t45)) % 0.22/0.53 (define @t47 () (= @t42 @t41)) % 0.22/0.53 (define @t48 () (not @t45)) % 0.22/0.53 (define @t49 () (not @t43)) % 0.22/0.53 (define @t50 () (or @t33 @t28 @t39 @t49 @t48 @t47)) % 0.22/0.53 (define @t51 () (tptp.class tptp.sk3 @t41 tptp.sk6)) % 0.22/0.53 (define @t52 () (tptp.greater @t25 @t24)) % 0.22/0.53 (define @t53 () (not @t23)) % 0.22/0.53 (define @t54 () (not @t20)) % 0.22/0.53 (define @t55 () (not @t21)) % 0.22/0.53 (define @t56 () (not @t51)) % 0.22/0.53 (define @t57 () (or @t28 @t33 @t48 @t56 @t55 @t54 @t37 @t38 @t53 @t52)) % 0.22/0.53 (define @t58 () (not @t35)) % 0.22/0.53 (define @t59 () (not @t52)) % 0.22/0.53 (define @t60 () (or @t59 @t58)) % 0.22/0.53 (define @t61 () (not @t60)) % 0.22/0.53 (assume @p1 (forall @t4 (or @t3 (tptp.inertia @t2 (tptp.sk1 @t1 @t2) @t1)))) % 0.22/0.53 (assume @p2 (forall @t4 (or @t5 (not (= @t2 @t1))))) % 0.22/0.53 (assume @p3 @t6) % 0.22/0.53 (assume @p4 (forall @t4 (or @t3 (tptp.class @t2 (tptp.sk2 @t1 @t2) @t1)))) % 0.22/0.53 (assume @p5 (forall @t12 (or @t3 @t11 @t10 (not (tptp.class @t2 @t8 @t1)) (not (tptp.class @t2 @t7 @t9)) (= @t8 @t7)))) % 0.22/0.53 (assume @p6 (forall (@list @t2 @t1 @t9 @t8 @t7 @t15 @t16 @t13 @t14) (or @t3 (not (tptp.organization @t9 @t8)) (not (tptp.class @t2 @t7 @t1)) (not (tptp.class @t9 @t7 @t8)) (not (tptp.complexity @t2 @t15 @t1)) (not (tptp.complexity @t9 @t16 @t8)) (not (tptp.inertia @t2 @t13 @t1)) (not (tptp.inertia @t9 @t14 @t8)) (not (tptp.greater @t16 @t15)) (tptp.greater @t14 @t13)))) % 0.22/0.53 (assume @p7 (forall @t12 (or @t3 @t11 @t10 (not (tptp.inertia @t2 @t8 @t1)) (not (tptp.inertia @t2 @t7 @t9)) (not (tptp.greater @t9 @t1)) (tptp.greater @t7 @t8)))) % 0.22/0.53 (assume @p8 @t17) % 0.22/0.53 (assume @p9 @t18) % 0.22/0.53 (assume @p10 @t19) % 0.22/0.53 (assume @p11 @t20) % 0.22/0.53 (assume @p12 @t21) % 0.22/0.53 (assume @p13 @t22) % 0.22/0.53 (assume @p14 @t23) % 0.22/0.53 (step @p15 :rule instantiate :premises (@p7) :args ((@list tptp.sk3 tptp.sk6 tptp.sk7 @t25 @t24))) % 0.22/0.53 (step @p16 :rule instantiate :premises (@p1) :args (@t26)) % 0.22/0.53 (step @p17 :rule cnf_or_pos :args (@t29)) % 0.22/0.53 (step @p18 :rule reordering :premises (@p17) :args ((or @t28 @t27 (not @t29)))) % 0.22/0.53 (step @p19 :rule chain_m_resolution :premises (@p18 @p9 @p16) :args (@t27 @t30 (@list @t18 @t29))) % 0.22/0.53 (step @p20 :rule instantiate :premises (@p1) :args (@t31)) % 0.22/0.53 (step @p21 :rule cnf_or_pos :args (@t34)) % 0.22/0.53 (step @p22 :rule reordering :premises (@p21) :args ((or @t33 @t32 (not @t34)))) % 0.22/0.53 (step @p23 :rule chain_m_resolution :premises (@p22 @p8 @p20) :args (@t32 @t30 (@list @t17 @t34))) % 0.22/0.53 (step @p24 :rule cnf_or_pos :args (@t40)) % 0.22/0.53 (step @p25 :rule reordering :premises (@p24) :args ((or @t33 @t28 @t39 @t36 @t38 @t37 @t35 (not @t40)))) % 0.22/0.53 (step @p26 :rule chain_m_resolution :premises (@p25 @p8 @p9 @p10 @p13 @p23 @p19 @p15) :args (@t35 (@list false false false false false false false) (@list @t17 @t18 @t19 @t22 @t32 @t27 @t40))) % 0.22/0.53 (step @p27 :rule instantiate :premises (@p6) :args ((@list tptp.sk3 tptp.sk7 tptp.sk3 tptp.sk6 @t41 tptp.sk5 tptp.sk4 @t24 @t25))) % 0.22/0.53 (step @p28 :rule instantiate :premises (@p4) :args (@t31)) % 0.22/0.53 (step @p29 :rule cnf_or_pos :args (@t44)) % 0.22/0.53 (step @p30 :rule reordering :premises (@p29) :args ((or @t33 @t43 (not @t44)))) % 0.22/0.53 (step @p31 :rule chain_m_resolution :premises (@p30 @p8 @p28) :args (@t43 @t30 (@list @t17 @t44))) % 0.22/0.53 (step @p32 :rule true_intro :premises (@p31)) % 0.22/0.53 (step @p33 :rule refl :args (tptp.sk6)) % 0.22/0.53 (step @p34 :rule instantiate :premises (@p5) :args ((@list tptp.sk3 tptp.sk6 tptp.sk7 @t42 @t41))) % 0.22/0.53 (step @p35 :rule instantiate :premises (@p4) :args (@t26)) % 0.22/0.53 (step @p36 :rule cnf_or_pos :args (@t46)) % 0.22/0.53 (step @p37 :rule reordering :premises (@p36) :args ((or @t28 @t45 (not @t46)))) % 0.22/0.53 (step @p38 :rule chain_m_resolution :premises (@p37 @p9 @p35) :args (@t45 @t30 (@list @t18 @t46))) % 0.22/0.53 (step @p39 :rule cnf_or_pos :args (@t50)) % 0.22/0.53 (step @p40 :rule reordering :premises (@p39) :args ((or @t33 @t28 @t39 @t49 @t48 @t47 (not @t50)))) % 0.22/0.53 (step @p41 :rule chain_m_resolution :premises (@p40 @p8 @p9 @p10 @p31 @p38 @p34) :args (@t47 (@list false false false false false false) (@list @t17 @t18 @t19 @t43 @t45 @t50))) % 0.22/0.53 (step @p42 :rule symm :premises (@p41)) % 0.22/0.53 (step @p43 :rule refl :args (tptp.sk3)) % 0.22/0.53 (step @p44 :rule cong :premises (@p43 @p42 @p33) :args (@t51)) % 0.22/0.53 (step @p45 :rule trans :premises (@p44 @p32)) % 0.22/0.53 (step @p46 :rule true_elim :premises (@p45)) % 0.22/0.53 (step @p47 :rule cnf_or_pos :args (@t57)) % 0.22/0.53 (step @p48 :rule reordering :premises (@p47) :args ((or @t33 @t28 @t54 @t55 @t53 @t38 @t37 @t48 @t56 @t52 (not @t57)))) % 0.22/0.53 (step @p49 :rule chain_m_resolution :premises (@p48 @p8 @p9 @p11 @p12 @p14 @p23 @p19 @p38 @p46 @p27) :args (@t52 (@list false false false false false false false false false false) (@list @t17 @t18 @t20 @t21 @t23 @t32 @t27 @t45 @t51 @t57))) % 0.22/0.53 (step @p50 :rule cnf_or_pos :args (@t60)) % 0.22/0.53 (step @p51 :rule reordering :premises (@p50) :args ((or @t59 @t58 @t61))) % 0.22/0.53 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p26) :args (@t61 @t30 (@list @t52 @t35))) % 0.22/0.53 (assume-push @p59 @t6) % 0.22/0.53 (step @p54 :rule instantiate :premises (@p3) :args ((@list @t25 @t24))) % 0.22/0.53 (step-pop @p60 :rule scope :premises (@p54)) % 0.22/0.53 (step @p55 :rule process_scope :premises (@p60) :args (@t60)) % 0.22/0.53 (step @p57 :rule implies_elim :premises (@p55)) % 0.22/0.53 (step @p58 false :rule chain_m_resolution :premises (@p57 @p52 @p3) :args (false (@list true false) (@list @t60 @t6))) % 0.22/0.53 ) % 0.22/0.53 % SZS output end Proof % 0.22/0.53 % cvc5 exiting %------------------------------------------------------------------------------