%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG040-2 : 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 : n026.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 08:45:28 AM UTC 2026 % Result : Unsatisfiable 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG040-2 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n026.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 14:03:40 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.56 % SZS status Unsatisfiable % 0.36/0.56 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort $$unsorted 0) % 0.36/0.57 (declare-const tptp.additive_identity $$unsorted) % 0.36/0.57 (declare-const tptp.l $$unsorted) % 0.36/0.57 (declare-const tptp.n $$unsorted) % 0.36/0.57 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.multiplicative_identity $$unsorted) % 0.36/0.57 (declare-const tptp.d $$unsorted) % 0.36/0.57 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.c $$unsorted) % 0.36/0.57 (declare-const tptp.b $$unsorted) % 0.36/0.57 (declare-const tptp.a $$unsorted) % 0.36/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.36/0.57 (define @t2 () (@list @t1)) % 0.36/0.57 (define @t3 () (@var "Y" $$unsorted)) % 0.36/0.57 (define @t4 () (@list @t1 @t3)) % 0.36/0.57 (define @t5 () (tptp.additive_inverse @t1)) % 0.36/0.57 (define @t6 () (@var "W" $$unsorted)) % 0.36/0.57 (define @t7 () (@var "V" $$unsorted)) % 0.36/0.57 (define @t8 () (tptp.sum @t1 @t7 @t6)) % 0.36/0.57 (define @t9 () (@var "Z" $$unsorted)) % 0.36/0.57 (define @t10 () (@var "U" $$unsorted)) % 0.36/0.57 (define @t11 () (tptp.sum @t10 @t9 @t6)) % 0.36/0.57 (define @t12 () (not (tptp.sum @t3 @t9 @t7))) % 0.36/0.57 (define @t13 () (not (tptp.sum @t1 @t3 @t10))) % 0.36/0.57 (define @t14 () (@list @t1 @t3 @t10 @t9 @t7 @t6)) % 0.36/0.57 (define @t15 () (tptp.product @t1 @t7 @t6)) % 0.36/0.57 (define @t16 () (tptp.product @t10 @t9 @t6)) % 0.36/0.57 (define @t17 () (not (tptp.product @t3 @t9 @t7))) % 0.36/0.57 (define @t18 () (not (tptp.product @t1 @t3 @t10))) % 0.36/0.57 (define @t19 () (@var "V4" $$unsorted)) % 0.36/0.57 (define @t20 () (@var "V2" $$unsorted)) % 0.36/0.57 (define @t21 () (@var "V1" $$unsorted)) % 0.36/0.57 (define @t22 () (tptp.sum @t21 @t20 @t19)) % 0.36/0.57 (define @t23 () (@var "V3" $$unsorted)) % 0.36/0.57 (define @t24 () (tptp.product @t1 @t23 @t19)) % 0.36/0.57 (define @t25 () (not (tptp.sum @t3 @t9 @t23))) % 0.36/0.57 (define @t26 () (not (tptp.product @t1 @t9 @t20))) % 0.36/0.57 (define @t27 () (not (tptp.product @t1 @t3 @t21))) % 0.36/0.57 (define @t28 () (@list @t1 @t3 @t21 @t9 @t20 @t23 @t19)) % 0.36/0.57 (define @t29 () (forall @t28 (or @t27 @t26 @t25 (not @t24) @t22))) % 0.36/0.57 (define @t30 () (= @t10 @t7)) % 0.36/0.57 (define @t31 () (@list @t1 @t3 @t10 @t7)) % 0.36/0.57 (define @t32 () (@var "A" $$unsorted)) % 0.36/0.57 (define @t33 () (@list @t32)) % 0.36/0.57 (define @t34 () (= @t32 tptp.additive_identity)) % 0.36/0.57 (define @t35 () (tptp.h @t32)) % 0.36/0.57 (define @t36 () (@var "C" $$unsorted)) % 0.36/0.57 (define @t37 () (@var "B" $$unsorted)) % 0.36/0.57 (define @t38 () (tptp.sum tptp.b tptp.c tptp.d)) % 0.36/0.57 (define @t39 () (tptp.product tptp.d tptp.a tptp.additive_identity)) % 0.36/0.57 (define @t40 () (tptp.product tptp.b tptp.a tptp.l)) % 0.36/0.57 (define @t41 () (tptp.product tptp.c tptp.a tptp.n)) % 0.36/0.57 (define @t42 () (tptp.sum tptp.l tptp.n tptp.additive_identity)) % 0.36/0.57 (define @t43 () (tptp.product tptp.a tptp.d tptp.additive_identity)) % 0.36/0.57 (define @t44 () (not @t39)) % 0.36/0.57 (define @t45 () (or @t44 @t43)) % 0.36/0.57 (define @t46 () (@list false false)) % 0.36/0.57 (define @t47 () (tptp.product tptp.a tptp.c tptp.n)) % 0.36/0.57 (define @t48 () (not @t41)) % 0.36/0.57 (define @t49 () (or @t48 @t47)) % 0.36/0.57 (define @t50 () (tptp.product tptp.a tptp.b tptp.l)) % 0.36/0.57 (define @t51 () (not @t40)) % 0.36/0.57 (define @t52 () (or @t51 @t50)) % 0.36/0.57 (define @t53 () (tptp.sum tptp.c tptp.b tptp.d)) % 0.36/0.57 (define @t54 () (not @t38)) % 0.36/0.57 (define @t55 () (or @t54 @t53)) % 0.36/0.57 (define @t56 () (tptp.sum tptp.n tptp.l tptp.additive_identity)) % 0.36/0.57 (define @t57 () (not @t56)) % 0.36/0.57 (define @t58 () (or @t57 @t42)) % 0.36/0.57 (define @t59 () (@list true false)) % 0.36/0.57 (define @t60 () (not @t43)) % 0.36/0.57 (define @t61 () (not @t53)) % 0.36/0.57 (define @t62 () (not @t50)) % 0.36/0.57 (define @t63 () (not @t47)) % 0.36/0.57 (define @t64 () (or @t63 @t62 @t61 @t60 @t56)) % 0.36/0.57 (define @t65 () (not @t64)) % 0.36/0.57 (assume @p1 (forall @t2 (tptp.sum tptp.additive_identity @t1 @t1))) % 0.36/0.57 (assume @p2 (forall @t2 (tptp.sum @t1 tptp.additive_identity @t1))) % 0.36/0.57 (assume @p3 (forall @t4 (tptp.product @t1 @t3 (tptp.multiply @t1 @t3)))) % 0.36/0.57 (assume @p4 (forall @t4 (tptp.sum @t1 @t3 (tptp.add @t1 @t3)))) % 0.36/0.57 (assume @p5 (forall @t2 (tptp.sum @t5 @t1 tptp.additive_identity))) % 0.36/0.57 (assume @p6 (forall @t2 (tptp.sum @t1 @t5 tptp.additive_identity))) % 0.36/0.57 (assume @p7 (forall @t14 (or @t13 @t12 (not @t11) @t8))) % 0.36/0.57 (assume @p8 (forall @t14 (or @t13 @t12 (not @t8) @t11))) % 0.36/0.57 (assume @p9 (forall (@list @t1 @t3 @t9) (or (not (tptp.sum @t1 @t3 @t9)) (tptp.sum @t3 @t1 @t9)))) % 0.36/0.57 (assume @p10 (forall @t14 (or @t18 @t17 (not @t16) @t15))) % 0.36/0.57 (assume @p11 (forall @t14 (or @t18 @t17 (not @t15) @t16))) % 0.36/0.57 (assume @p12 @t29) % 0.36/0.57 (assume @p13 (forall @t28 (or @t27 @t26 @t25 (not @t22) @t24))) % 0.36/0.57 (assume @p14 (forall @t31 (or @t13 (not (tptp.sum @t1 @t3 @t7)) @t30))) % 0.36/0.57 (assume @p15 (forall @t31 (or @t18 (not (tptp.product @t1 @t3 @t7)) @t30))) % 0.36/0.57 (assume @p16 (forall @t33 (tptp.product @t32 tptp.multiplicative_identity @t32))) % 0.36/0.57 (assume @p17 (forall @t33 (tptp.product tptp.multiplicative_identity @t32 @t32))) % 0.36/0.57 (assume @p18 (forall @t33 (or (tptp.product @t32 @t35 tptp.multiplicative_identity) @t34))) % 0.36/0.57 (assume @p19 (forall @t33 (or (tptp.product @t35 @t32 tptp.multiplicative_identity) @t34))) % 0.36/0.57 (assume @p20 (forall (@list @t32 @t37 @t36) (or (not (tptp.product @t32 @t37 @t36)) (tptp.product @t37 @t32 @t36)))) % 0.36/0.57 (assume @p21 @t38) % 0.36/0.57 (assume @p22 @t39) % 0.36/0.57 (assume @p23 @t40) % 0.36/0.57 (assume @p24 @t41) % 0.36/0.57 (assume @p25 (not @t42)) % 0.36/0.57 (step @p26 :rule instantiate :premises (@p20) :args ((@list tptp.d tptp.a tptp.additive_identity))) % 0.36/0.57 (step @p27 :rule cnf_or_pos :args (@t45)) % 0.36/0.57 (step @p28 :rule reordering :premises (@p27) :args ((or @t44 @t43 (not @t45)))) % 0.36/0.57 (step @p29 :rule chain_m_resolution :premises (@p28 @p22 @p26) :args (@t43 @t46 (@list @t39 @t45))) % 0.36/0.57 (step @p30 :rule instantiate :premises (@p20) :args ((@list tptp.c tptp.a tptp.n))) % 0.36/0.57 (step @p31 :rule cnf_or_pos :args (@t49)) % 0.36/0.57 (step @p32 :rule reordering :premises (@p31) :args ((or @t48 @t47 (not @t49)))) % 0.36/0.57 (step @p33 :rule chain_m_resolution :premises (@p32 @p24 @p30) :args (@t47 @t46 (@list @t41 @t49))) % 0.36/0.57 (step @p34 :rule instantiate :premises (@p20) :args ((@list tptp.b tptp.a tptp.l))) % 0.36/0.57 (step @p35 :rule cnf_or_pos :args (@t52)) % 0.36/0.57 (step @p36 :rule reordering :premises (@p35) :args ((or @t51 @t50 (not @t52)))) % 0.36/0.57 (step @p37 :rule chain_m_resolution :premises (@p36 @p23 @p34) :args (@t50 @t46 (@list @t40 @t52))) % 0.36/0.57 (step @p38 :rule instantiate :premises (@p9) :args ((@list tptp.b tptp.c tptp.d))) % 0.36/0.57 (step @p39 :rule cnf_or_pos :args (@t55)) % 0.36/0.57 (step @p40 :rule reordering :premises (@p39) :args ((or @t54 @t53 (not @t55)))) % 0.36/0.57 (step @p41 :rule chain_m_resolution :premises (@p40 @p21 @p38) :args (@t53 @t46 (@list @t38 @t55))) % 0.36/0.57 (step @p42 :rule instantiate :premises (@p9) :args ((@list tptp.n tptp.l tptp.additive_identity))) % 0.36/0.57 (step @p43 :rule cnf_or_pos :args (@t58)) % 0.36/0.57 (step @p44 :rule reordering :premises (@p43) :args ((or @t42 @t57 (not @t58)))) % 0.36/0.57 (step @p45 :rule chain_m_resolution :premises (@p44 @p25 @p42) :args (@t57 @t59 (@list @t42 @t58))) % 0.36/0.57 (step @p46 :rule cnf_or_pos :args (@t64)) % 0.36/0.57 (step @p47 :rule reordering :premises (@p46) :args ((or @t56 @t61 @t62 @t63 @t60 @t65))) % 0.36/0.57 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p41 @p37 @p33 @p29) :args (@t65 (@list true false false false false) (@list @t56 @t53 @t50 @t47 @t43))) % 0.36/0.57 (assume-push @p55 @t29) % 0.36/0.57 (step @p50 :rule instantiate :premises (@p12) :args ((@list tptp.a tptp.c tptp.n tptp.b tptp.l tptp.d tptp.additive_identity))) % 0.36/0.57 (step-pop @p56 :rule scope :premises (@p50)) % 0.36/0.57 (step @p51 :rule process_scope :premises (@p56) :args (@t64)) % 0.36/0.57 (step @p53 :rule implies_elim :premises (@p51)) % 0.36/0.57 (step @p54 false :rule chain_m_resolution :premises (@p53 @p48 @p12) :args (false @t59 (@list @t64 @t29))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------