%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG005-2 : TPTP v9.2.1. Released v1.0.0. % 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 : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:45:20 AM UTC 2026 % Result : Unsatisfiable 15.39s 15.62s % Output : Proof 15.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG005-2 : TPTP v9.2.1. Released v1.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n027.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 13:55:21 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.33/15.54 --- Run --no-e-matching --full-saturate-quant at 6... % 15.39/15.62 % SZS status Unsatisfiable % 15.39/15.62 % SZS output start Proof % 15.39/15.62 ( % 15.39/15.62 (declare-sort $$unsorted 0) % 15.39/15.62 (declare-const tptp.c $$unsorted) % 15.39/15.62 (declare-const tptp.a $$unsorted) % 15.39/15.62 (declare-const tptp.additive_identity $$unsorted) % 15.39/15.62 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.39/15.62 (declare-const tptp.d $$unsorted) % 15.39/15.62 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 15.39/15.62 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.39/15.62 (declare-const tptp.b $$unsorted) % 15.39/15.62 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 15.39/15.62 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 15.39/15.62 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 15.39/15.62 (define @t1 () (@var "Y" $$unsorted)) % 15.39/15.62 (define @t2 () (@var "X" $$unsorted)) % 15.39/15.62 (define @t3 () (tptp.additive_inverse @t2)) % 15.39/15.62 (define @t4 () (not (tptp.equalish @t2 @t1))) % 15.39/15.62 (define @t5 () (@list @t2 @t1)) % 15.39/15.62 (define @t6 () (@var "W" $$unsorted)) % 15.39/15.62 (define @t7 () (@list @t2 @t1 @t6)) % 15.39/15.62 (define @t8 () (@var "Z" $$unsorted)) % 15.39/15.62 (define @t9 () (@list @t2 @t1 @t6 @t8)) % 15.39/15.62 (define @t10 () (@list @t2)) % 15.39/15.62 (define @t11 () (@var "V" $$unsorted)) % 15.39/15.62 (define @t12 () (tptp.sum @t2 @t11 @t6)) % 15.39/15.62 (define @t13 () (@var "U" $$unsorted)) % 15.39/15.62 (define @t14 () (tptp.sum @t13 @t8 @t6)) % 15.39/15.62 (define @t15 () (not (tptp.sum @t1 @t8 @t11))) % 15.39/15.62 (define @t16 () (not (tptp.sum @t2 @t1 @t13))) % 15.39/15.62 (define @t17 () (@list @t2 @t1 @t13 @t8 @t11 @t6)) % 15.39/15.62 (define @t18 () (tptp.product @t2 @t11 @t6)) % 15.39/15.62 (define @t19 () (tptp.product @t13 @t8 @t6)) % 15.39/15.62 (define @t20 () (not (tptp.product @t1 @t8 @t11))) % 15.39/15.62 (define @t21 () (not (tptp.product @t2 @t1 @t13))) % 15.39/15.62 (define @t22 () (@var "V4" $$unsorted)) % 15.39/15.62 (define @t23 () (@var "V2" $$unsorted)) % 15.39/15.62 (define @t24 () (@var "V1" $$unsorted)) % 15.39/15.62 (define @t25 () (tptp.sum @t24 @t23 @t22)) % 15.39/15.62 (define @t26 () (@var "V3" $$unsorted)) % 15.39/15.62 (define @t27 () (tptp.product @t2 @t26 @t22)) % 15.39/15.62 (define @t28 () (not (tptp.sum @t1 @t8 @t26))) % 15.39/15.62 (define @t29 () (not (tptp.product @t2 @t8 @t23))) % 15.39/15.62 (define @t30 () (not (tptp.product @t2 @t1 @t24))) % 15.39/15.62 (define @t31 () (@list @t2 @t1 @t24 @t8 @t23 @t26 @t22)) % 15.39/15.62 (define @t32 () (not @t25)) % 15.39/15.62 (define @t33 () (tptp.product @t26 @t2 @t22)) % 15.39/15.62 (define @t34 () (not (tptp.product @t8 @t2 @t23))) % 15.39/15.62 (define @t35 () (not (tptp.product @t1 @t2 @t24))) % 15.39/15.62 (define @t36 () (@list @t1 @t2 @t24 @t8 @t23 @t26 @t22)) % 15.39/15.62 (define @t37 () (forall @t36 (or @t35 @t34 @t28 (not @t33) @t25))) % 15.39/15.62 (define @t38 () (tptp.equalish @t13 @t11)) % 15.39/15.62 (define @t39 () (@list @t2 @t1 @t13 @t11)) % 15.39/15.62 (define @t40 () (tptp.product tptp.a tptp.b tptp.d)) % 15.39/15.62 (define @t41 () (tptp.additive_inverse tptp.a)) % 15.39/15.62 (define @t42 () (tptp.product @t41 tptp.b tptp.c)) % 15.39/15.62 (define @t43 () (tptp.sum tptp.c tptp.d tptp.additive_identity)) % 15.39/15.62 (define @t44 () (tptp.product tptp.additive_identity tptp.b tptp.additive_identity)) % 15.39/15.62 (define @t45 () (not @t44)) % 15.39/15.62 (define @t46 () (tptp.sum @t41 tptp.a tptp.additive_identity)) % 15.39/15.62 (define @t47 () (not @t46)) % 15.39/15.62 (define @t48 () (not @t40)) % 15.39/15.62 (define @t49 () (not @t42)) % 15.39/15.62 (define @t50 () (or @t49 @t48 @t47 @t45 @t43)) % 15.39/15.62 (define @t51 () (not @t50)) % 15.39/15.62 (assume @p1 (forall @t5 (or @t4 (tptp.equalish @t3 (tptp.additive_inverse @t1))))) % 15.39/15.62 (assume @p2 (forall @t7 (or @t4 (tptp.equalish (tptp.add @t2 @t6) (tptp.add @t1 @t6))))) % 15.39/15.62 (assume @p3 (forall @t9 (or @t4 (not (tptp.sum @t2 @t6 @t8)) (tptp.sum @t1 @t6 @t8)))) % 15.39/15.62 (assume @p4 (forall @t9 (or @t4 (not (tptp.sum @t6 @t2 @t8)) (tptp.sum @t6 @t1 @t8)))) % 15.39/15.62 (assume @p5 (forall @t9 (or @t4 (not (tptp.sum @t6 @t8 @t2)) (tptp.sum @t6 @t8 @t1)))) % 15.39/15.62 (assume @p6 (forall @t7 (or @t4 (tptp.equalish (tptp.multiply @t2 @t6) (tptp.multiply @t1 @t6))))) % 15.39/15.62 (assume @p7 (forall @t9 (or @t4 (not (tptp.product @t2 @t6 @t8)) (tptp.product @t1 @t6 @t8)))) % 15.39/15.62 (assume @p8 (forall @t9 (or @t4 (not (tptp.product @t6 @t2 @t8)) (tptp.product @t6 @t1 @t8)))) % 15.39/15.62 (assume @p9 (forall @t9 (or @t4 (not (tptp.product @t6 @t8 @t2)) (tptp.product @t6 @t8 @t1)))) % 15.39/15.62 (assume @p10 (forall @t10 (tptp.sum tptp.additive_identity @t2 @t2))) % 15.39/15.62 (assume @p11 (forall @t10 (tptp.sum @t2 tptp.additive_identity @t2))) % 15.39/15.62 (assume @p12 (forall @t5 (tptp.product @t2 @t1 (tptp.multiply @t2 @t1)))) % 15.39/15.62 (assume @p13 (forall @t5 (tptp.sum @t2 @t1 (tptp.add @t2 @t1)))) % 15.39/15.62 (assume @p14 (forall @t10 (tptp.sum @t3 @t2 tptp.additive_identity))) % 15.39/15.62 (assume @p15 (forall @t10 (tptp.sum @t2 @t3 tptp.additive_identity))) % 15.39/15.62 (assume @p16 (forall @t17 (or @t16 @t15 (not @t14) @t12))) % 15.39/15.62 (assume @p17 (forall @t17 (or @t16 @t15 (not @t12) @t14))) % 15.39/15.62 (assume @p18 (forall (@list @t2 @t1 @t8) (or (not (tptp.sum @t2 @t1 @t8)) (tptp.sum @t1 @t2 @t8)))) % 15.39/15.62 (assume @p19 (forall @t17 (or @t21 @t20 (not @t19) @t18))) % 15.39/15.62 (assume @p20 (forall @t17 (or @t21 @t20 (not @t18) @t19))) % 15.39/15.62 (assume @p21 (forall @t31 (or @t30 @t29 @t28 (not @t27) @t25))) % 15.39/15.62 (assume @p22 (forall @t31 (or @t30 @t29 @t28 @t32 @t27))) % 15.39/15.62 (assume @p23 @t37) % 15.39/15.62 (assume @p24 (forall @t36 (or @t35 @t34 @t28 @t32 @t33))) % 15.39/15.62 (assume @p25 (forall @t39 (or @t16 (not (tptp.sum @t2 @t1 @t11)) @t38))) % 15.39/15.62 (assume @p26 (forall @t39 (or @t21 (not (tptp.product @t2 @t1 @t11)) @t38))) % 15.39/15.62 (assume @p27 (forall @t10 (tptp.product tptp.additive_identity @t2 tptp.additive_identity))) % 15.39/15.62 (assume @p28 (forall @t10 (tptp.product @t2 tptp.additive_identity tptp.additive_identity))) % 15.39/15.62 (assume @p29 @t40) % 15.39/15.62 (assume @p30 @t42) % 15.39/15.62 (assume @p31 (not @t43)) % 15.39/15.62 (step @p32 :rule instantiate :premises (@p27) :args ((@list tptp.b))) % 15.39/15.62 (step @p33 :rule instantiate :premises (@p14) :args ((@list tptp.a))) % 15.39/15.62 (step @p34 :rule cnf_or_pos :args (@t50)) % 15.39/15.62 (step @p35 :rule reordering :premises (@p34) :args ((or @t43 @t48 @t49 @t47 @t45 @t51))) % 15.39/15.62 (step @p36 :rule chain_m_resolution :premises (@p35 @p31 @p29 @p30 @p33 @p32) :args (@t51 (@list true false false false false) (@list @t43 @t40 @t42 @t46 @t44))) % 15.39/15.62 (assume-push @p43 @t37) % 15.39/15.62 (step @p38 :rule instantiate :premises (@p23) :args ((@list @t41 tptp.b tptp.c tptp.a tptp.d tptp.additive_identity tptp.additive_identity))) % 15.39/15.62 (step-pop @p44 :rule scope :premises (@p38)) % 15.39/15.62 (step @p39 :rule process_scope :premises (@p44) :args (@t50)) % 15.39/15.62 (step @p41 :rule implies_elim :premises (@p39)) % 15.39/15.62 (step @p42 false :rule chain_m_resolution :premises (@p41 @p36 @p23) :args (false (@list true false) (@list @t50 @t37))) % 15.39/15.62 ) % 15.39/15.62 % SZS output end Proof % 15.39/15.62 % cvc5 exiting %------------------------------------------------------------------------------