%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT107+1 : TPTP v9.3.1. Bugfixed v9.3.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.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 06:04:59 AM UTC 2026 % Result : Unsatisfiable 0.08s 0.36s % Output : Proof 0.08s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.01 % Problem : MGT107+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.02 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.04/0.29 % Computer : n012.cluster.edu % 0.04/0.29 % Model : x86_64 x86_64 % 0.04/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.04/0.29 % Memory : 8046.5625MB % 0.04/0.29 % OS : Linux 6.8.0-71-generic % 0.04/0.29 % CPULimit : 300 % 0.04/0.29 % WCLimit : 300 % 0.04/0.29 % DateTime : Mon Sep 7 14:43:11 UTC 2026 % 0.04/0.29 % CPUTime : % 0.08/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.08/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.08/0.36 % SZS status Unsatisfiable % 0.08/0.36 % SZS output start Proof % 0.08/0.37 ( % 0.08/0.37 (declare-sort $$unsorted 0) % 0.08/0.37 (declare-const tptp.w $$unsorted) % 0.08/0.37 (declare-const tptp.box_verdict (-> $$unsorted $$unsorted $$unsorted)) % 0.08/0.37 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.08/0.37 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.08/0.37 (declare-const tptp.in_ropen (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.08/0.37 (declare-const tptp.axis_compatible (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.08/0.37 (declare-const tptp.val (-> $$unsorted Bool)) % 0.08/0.37 (declare-const tptp.conflict $$unsorted) % 0.08/0.37 (declare-const tptp.in_lopen (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.08/0.37 (declare-const tptp.v600 $$unsorted) % 0.08/0.37 (declare-const tptp.in_open (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.08/0.37 (declare-const tptp.axis_conflict (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.08/0.37 (declare-const tptp.v800 $$unsorted) % 0.08/0.37 (declare-const tptp.is_verdict (-> $$unsorted Bool)) % 0.08/0.37 (declare-const tptp.axis_subsumes (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.08/0.37 (declare-const tptp.compatible $$unsorted) % 0.08/0.37 (declare-const tptp.in_closed (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.08/0.37 (declare-const tptp.unknown $$unsorted) % 0.08/0.37 (define @t1 () (@var "X" $$unsorted)) % 0.08/0.37 (define @t2 () (@list @t1)) % 0.08/0.37 (define @t3 () (@var "Z" $$unsorted)) % 0.08/0.37 (define @t4 () (tptp.less @t1 @t3)) % 0.08/0.37 (define @t5 () (@var "Y" $$unsorted)) % 0.08/0.37 (define @t6 () (tptp.less @t5 @t3)) % 0.08/0.37 (define @t7 () (tptp.less @t1 @t5)) % 0.08/0.37 (define @t8 () (@list @t1 @t5 @t3)) % 0.08/0.37 (define @t9 () (= @t1 @t5)) % 0.08/0.37 (define @t10 () (@list @t1 @t5)) % 0.08/0.37 (define @t11 () (tptp.leq @t1 @t5)) % 0.08/0.37 (define @t12 () (tptp.leq @t5 @t3)) % 0.08/0.37 (define @t13 () (@var "B" $$unsorted)) % 0.08/0.37 (define @t14 () (tptp.leq @t1 @t13)) % 0.08/0.37 (define @t15 () (@var "A" $$unsorted)) % 0.08/0.37 (define @t16 () (tptp.leq @t15 @t1)) % 0.08/0.37 (define @t17 () (@list @t1 @t15 @t13)) % 0.08/0.37 (define @t18 () (tptp.less @t15 @t1)) % 0.08/0.37 (define @t19 () (tptp.less @t1 @t13)) % 0.08/0.37 (define @t20 () (@var "I2hi" $$unsorted)) % 0.08/0.37 (define @t21 () (@var "I2lo" $$unsorted)) % 0.08/0.37 (define @t22 () (tptp.in_closed @t1 @t21 @t20)) % 0.08/0.37 (define @t23 () (@var "I1hi" $$unsorted)) % 0.08/0.37 (define @t24 () (@var "I1lo" $$unsorted)) % 0.08/0.37 (define @t25 () (tptp.in_closed @t1 @t24 @t23)) % 0.08/0.37 (define @t26 () (exists @t2 (and @t25 @t22))) % 0.08/0.37 (define @t27 () (@list @t24 @t23 @t21 @t20)) % 0.08/0.37 (define @t28 () (@var "V" $$unsorted)) % 0.08/0.37 (define @t29 () (@var "V2" $$unsorted)) % 0.08/0.37 (define @t30 () (@var "V1" $$unsorted)) % 0.08/0.37 (define @t31 () (tptp.box_verdict @t30 @t29)) % 0.08/0.37 (define @t32 () (= @t31 tptp.conflict)) % 0.08/0.37 (define @t33 () (= @t29 tptp.conflict)) % 0.08/0.37 (define @t34 () (= @t30 tptp.conflict)) % 0.08/0.37 (define @t35 () (tptp.is_verdict @t29)) % 0.08/0.37 (define @t36 () (tptp.is_verdict @t30)) % 0.08/0.37 (define @t37 () (@list @t30 @t29)) % 0.08/0.37 (define @t38 () (= @t31 tptp.compatible)) % 0.08/0.37 (define @t39 () (= @t31 tptp.unknown)) % 0.08/0.37 (assume @p1 (forall @t2 (not (tptp.less @t1 @t1)))) % 0.08/0.37 (assume @p2 (forall @t8 (=> (and @t7 @t6) @t4))) % 0.08/0.37 (assume @p3 (forall @t10 (or @t7 @t9 (tptp.less @t5 @t1)))) % 0.08/0.37 (assume @p4 (forall @t10 (= @t11 (or @t7 @t9)))) % 0.08/0.37 (assume @p5 (forall @t10 (=> (and @t11 (tptp.leq @t5 @t1)) @t9))) % 0.08/0.37 (assume @p6 (forall @t10 (=> @t7 @t11))) % 0.08/0.37 (assume @p7 (forall @t8 (=> (and @t11 @t6) @t4))) % 0.08/0.37 (assume @p8 (forall @t8 (=> (and @t7 @t12) @t4))) % 0.08/0.37 (assume @p9 (forall @t8 (=> (and @t11 @t12) (tptp.leq @t1 @t3)))) % 0.08/0.37 (assume @p10 (forall @t17 (= (tptp.in_closed @t1 @t15 @t13) (and @t16 @t14)))) % 0.08/0.37 (assume @p11 (forall @t17 (= (tptp.in_lopen @t1 @t15 @t13) (and @t18 @t14)))) % 0.08/0.37 (assume @p12 (forall @t17 (= (tptp.in_ropen @t1 @t15 @t13) (and @t16 @t19)))) % 0.08/0.37 (assume @p13 (forall @t17 (= (tptp.in_open @t1 @t15 @t13) (and @t18 @t19)))) % 0.08/0.37 (assume @p14 (forall @t27 (= (tptp.axis_conflict @t24 @t23 @t21 @t20) (not @t26)))) % 0.08/0.37 (assume @p15 (forall @t27 (= (tptp.axis_compatible @t24 @t23 @t21 @t20) @t26))) % 0.08/0.37 (assume @p16 (forall @t27 (= (tptp.axis_subsumes @t24 @t23 @t21 @t20) (forall @t2 (=> @t25 @t22))))) % 0.08/0.37 (assume @p17 (tptp.is_verdict tptp.conflict)) % 0.08/0.37 (assume @p18 (tptp.is_verdict tptp.compatible)) % 0.08/0.37 (assume @p19 (tptp.is_verdict tptp.unknown)) % 0.08/0.37 (assume @p20 (not (= tptp.conflict tptp.compatible))) % 0.08/0.37 (assume @p21 (not (= tptp.conflict tptp.unknown))) % 0.08/0.37 (assume @p22 (not (= tptp.compatible tptp.unknown))) % 0.08/0.37 (assume @p23 (forall (@list @t28) (=> (tptp.is_verdict @t28) (or (= @t28 tptp.conflict) (= @t28 tptp.compatible) (= @t28 tptp.unknown))))) % 0.08/0.37 (assume @p24 (forall @t37 (=> (and @t36 @t35 (or @t34 @t33)) @t32))) % 0.08/0.37 (assume @p25 (forall @t37 (=> (and @t36 @t35 (= @t30 tptp.compatible) (= @t29 tptp.compatible)) @t38))) % 0.08/0.37 (assume @p26 (forall @t37 (=> (and @t36 @t35 (or (= @t30 tptp.unknown) (= @t29 tptp.unknown)) (not @t34) (not @t33)) @t39))) % 0.08/0.37 (assume @p27 (forall @t37 (=> (and @t36 @t35) (or @t32 @t38 @t39)))) % 0.08/0.37 (assume @p28 (tptp.val tptp.v600)) % 0.08/0.37 (assume @p29 (tptp.val tptp.v800)) % 0.08/0.37 (assume @p30 (tptp.less tptp.v600 tptp.v800)) % 0.08/0.37 (assume @p31 (not (= tptp.v600 tptp.v800))) % 0.08/0.37 (assume @p32 (= tptp.w tptp.v600)) % 0.08/0.37 (assume @p33 (= tptp.w tptp.v800)) % 0.08/0.37 (step @p34 :rule evaluate :args ((= false true))) % 0.08/0.37 (step @p35 :rule symm :premises (@p32)) % 0.08/0.37 (step @p36 :rule trans :premises (@p35 @p33)) % 0.08/0.37 (step @p37 :rule true_intro :premises (@p36)) % 0.08/0.37 (step @p38 :rule false_intro :premises (@p31)) % 0.08/0.37 (step @p39 :rule symm :premises (@p38)) % 0.08/0.37 (step @p40 :rule trans :premises (@p39 @p37)) % 0.08/0.37 (step @p41 false :rule eq_resolve :premises (@p40 @p34)) % 0.08/0.37 ) % 0.08/0.37 % SZS output end Proof % 0.08/0.37 % cvc5 exiting %------------------------------------------------------------------------------