%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG002-1 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:45:19 AM UTC 2026 % Result : Unsatisfiable 28.54s 28.74s % Output : Proof 28.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG002-1 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.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 13:54:34 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.32/15.54 --- Run --no-e-matching --full-saturate-quant at 6... % 21.32/21.57 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.33/27.59 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.54/28.74 % SZS status Unsatisfiable % 28.54/28.74 % SZS output start Proof % 28.54/28.74 ( % 28.54/28.74 (declare-sort $$unsorted 0) % 28.54/28.74 (declare-const tptp.c $$unsorted) % 28.54/28.74 (declare-const tptp.a $$unsorted) % 28.54/28.74 (declare-const tptp.b $$unsorted) % 28.54/28.74 (declare-const tptp.d $$unsorted) % 28.54/28.74 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 28.54/28.74 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 28.54/28.74 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 28.54/28.74 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 28.54/28.74 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 28.54/28.74 (declare-const tptp.additive_identity $$unsorted) % 28.54/28.74 (define @t1 () (@var "X" $$unsorted)) % 28.54/28.74 (define @t2 () (@list @t1)) % 28.54/28.74 (define @t3 () (@var "Y" $$unsorted)) % 28.54/28.74 (define @t4 () (@list @t1 @t3)) % 28.54/28.74 (define @t5 () (tptp.additive_inverse @t1)) % 28.54/28.74 (define @t6 () (@var "W" $$unsorted)) % 28.54/28.74 (define @t7 () (@var "V" $$unsorted)) % 28.54/28.74 (define @t8 () (tptp.sum @t1 @t7 @t6)) % 28.54/28.74 (define @t9 () (@var "Z" $$unsorted)) % 28.54/28.74 (define @t10 () (@var "U" $$unsorted)) % 28.54/28.74 (define @t11 () (tptp.sum @t10 @t9 @t6)) % 28.54/28.74 (define @t12 () (not (tptp.sum @t3 @t9 @t7))) % 28.54/28.74 (define @t13 () (not (tptp.sum @t1 @t3 @t10))) % 28.54/28.74 (define @t14 () (@list @t1 @t3 @t10 @t9 @t7 @t6)) % 28.54/28.74 (define @t15 () (forall @t14 (or @t13 @t12 (not @t8) @t11))) % 28.54/28.74 (define @t16 () (tptp.product @t1 @t7 @t6)) % 28.54/28.74 (define @t17 () (tptp.product @t10 @t9 @t6)) % 28.54/28.74 (define @t18 () (not (tptp.product @t3 @t9 @t7))) % 28.54/28.74 (define @t19 () (not (tptp.product @t1 @t3 @t10))) % 28.54/28.74 (define @t20 () (@var "V4" $$unsorted)) % 28.54/28.74 (define @t21 () (@var "V2" $$unsorted)) % 28.54/28.74 (define @t22 () (@var "V1" $$unsorted)) % 28.54/28.74 (define @t23 () (tptp.sum @t22 @t21 @t20)) % 28.54/28.74 (define @t24 () (@var "V3" $$unsorted)) % 28.54/28.74 (define @t25 () (tptp.product @t1 @t24 @t20)) % 28.54/28.74 (define @t26 () (not (tptp.sum @t3 @t9 @t24))) % 28.54/28.74 (define @t27 () (not (tptp.product @t1 @t9 @t21))) % 28.54/28.74 (define @t28 () (not (tptp.product @t1 @t3 @t22))) % 28.54/28.74 (define @t29 () (@list @t1 @t3 @t22 @t9 @t21 @t24 @t20)) % 28.54/28.74 (define @t30 () (not @t23)) % 28.54/28.74 (define @t31 () (tptp.product @t24 @t1 @t20)) % 28.54/28.74 (define @t32 () (not (tptp.product @t9 @t1 @t21))) % 28.54/28.74 (define @t33 () (not (tptp.product @t3 @t1 @t22))) % 28.54/28.74 (define @t34 () (@list @t3 @t1 @t22 @t9 @t21 @t24 @t20)) % 28.54/28.74 (define @t35 () (= @t10 @t7)) % 28.54/28.74 (define @t36 () (@list @t1 @t3 @t10 @t7)) % 28.54/28.74 (define @t37 () (forall @t36 (or @t13 (not (tptp.sum @t1 @t3 @t7)) @t35))) % 28.54/28.74 (define @t38 () (tptp.sum tptp.a tptp.b tptp.d)) % 28.54/28.74 (define @t39 () (tptp.sum tptp.a tptp.c tptp.d)) % 28.54/28.74 (define @t40 () (= tptp.b tptp.c)) % 28.54/28.74 (define @t41 () (tptp.additive_inverse tptp.a)) % 28.54/28.74 (define @t42 () (tptp.sum @t41 tptp.d tptp.c)) % 28.54/28.74 (define @t43 () (tptp.sum tptp.additive_identity tptp.c tptp.c)) % 28.54/28.74 (define @t44 () (not @t43)) % 28.54/28.74 (define @t45 () (not @t39)) % 28.54/28.74 (define @t46 () (tptp.sum @t41 tptp.a tptp.additive_identity)) % 28.54/28.74 (define @t47 () (not @t46)) % 28.54/28.74 (define @t48 () (or @t47 @t45 @t44 @t42)) % 28.54/28.74 (define @t49 () (tptp.sum tptp.additive_identity tptp.b tptp.b)) % 28.54/28.74 (define @t50 () (not @t49)) % 28.54/28.74 (define @t51 () (tptp.sum tptp.additive_identity tptp.b tptp.c)) % 28.54/28.74 (define @t52 () (not @t51)) % 28.54/28.74 (define @t53 () (or @t52 @t50 (= tptp.c tptp.b))) % 28.54/28.74 (define @t54 () (or @t52 @t50 @t40)) % 28.54/28.74 (define @t55 () (not @t42)) % 28.54/28.74 (define @t56 () (not @t38)) % 28.54/28.74 (define @t57 () (or @t47 @t56 @t55 @t51)) % 28.54/28.74 (define @t58 () (not @t57)) % 28.54/28.74 (assume @p1 (forall @t2 (tptp.sum tptp.additive_identity @t1 @t1))) % 28.54/28.74 (assume @p2 (forall @t2 (tptp.sum @t1 tptp.additive_identity @t1))) % 28.54/28.74 (assume @p3 (forall @t4 (tptp.product @t1 @t3 (tptp.multiply @t1 @t3)))) % 28.54/28.74 (assume @p4 (forall @t4 (tptp.sum @t1 @t3 (tptp.add @t1 @t3)))) % 28.54/28.74 (assume @p5 (forall @t2 (tptp.sum @t5 @t1 tptp.additive_identity))) % 28.54/28.74 (assume @p6 (forall @t2 (tptp.sum @t1 @t5 tptp.additive_identity))) % 28.54/28.74 (assume @p7 (forall @t14 (or @t13 @t12 (not @t11) @t8))) % 28.54/28.74 (assume @p8 @t15) % 28.54/28.74 (assume @p9 (forall (@list @t1 @t3 @t9) (or (not (tptp.sum @t1 @t3 @t9)) (tptp.sum @t3 @t1 @t9)))) % 28.54/28.74 (assume @p10 (forall @t14 (or @t19 @t18 (not @t17) @t16))) % 28.54/28.74 (assume @p11 (forall @t14 (or @t19 @t18 (not @t16) @t17))) % 28.54/28.74 (assume @p12 (forall @t29 (or @t28 @t27 @t26 (not @t25) @t23))) % 28.54/28.74 (assume @p13 (forall @t29 (or @t28 @t27 @t26 @t30 @t25))) % 28.54/28.74 (assume @p14 (forall @t34 (or @t33 @t32 @t26 (not @t31) @t23))) % 28.54/28.74 (assume @p15 (forall @t34 (or @t33 @t32 @t26 @t30 @t31))) % 28.54/28.74 (assume @p16 @t37) % 28.54/28.74 (assume @p17 (forall @t36 (or @t19 (not (tptp.product @t1 @t3 @t7)) @t35))) % 28.54/28.74 (assume @p18 @t38) % 28.54/28.74 (assume @p19 @t39) % 28.54/28.74 (assume @p20 (not @t40)) % 28.54/28.74 (step @p21 :rule instantiate :premises (@p7) :args ((@list @t41 tptp.a tptp.additive_identity tptp.c tptp.d tptp.c))) % 28.54/28.74 (step @p22 :rule instantiate :premises (@p5) :args ((@list tptp.a))) % 28.54/28.74 (step @p23 :rule instantiate :premises (@p1) :args ((@list tptp.c))) % 28.54/28.74 (step @p24 :rule cnf_or_pos :args (@t48)) % 28.54/28.74 (step @p25 :rule reordering :premises (@p24) :args ((or @t45 @t44 @t47 @t42 (not @t48)))) % 28.54/28.74 (step @p26 :rule chain_m_resolution :premises (@p25 @p19 @p23 @p22 @p21) :args (@t42 (@list false false false false) (@list @t39 @t43 @t46 @t48))) % 28.54/28.74 (step @p27 :rule eq-symm :args (tptp.c tptp.b)) % 28.54/28.74 (step @p28 :rule refl :args (@t50)) % 28.54/28.74 (step @p29 :rule refl :args (@t52)) % 28.54/28.74 (step @p30 :rule nary_cong :premises (@p29 @p28 @p27) :args (@t53)) % 28.54/28.74 (step @p31 :rule refl :args (@t37)) % 28.54/28.74 (step @p32 :rule cong :premises (@p31 @p30) :args ((=> @t37 @t53))) % 28.54/28.74 (assume-push @p53 @t37) % 28.54/28.74 (step @p34 :rule instantiate :premises (@p16) :args ((@list tptp.additive_identity tptp.b tptp.c tptp.b))) % 28.54/28.74 (step-pop @p54 :rule scope :premises (@p34)) % 28.54/28.74 (step @p35 :rule process_scope :premises (@p54) :args (@t53)) % 28.54/28.74 (step @p37 :rule eq_resolve :premises (@p35 @p32)) % 28.54/28.74 (step @p38 :rule implies_elim :premises (@p37)) % 28.54/28.74 (step @p39 :rule chain_m_resolution :premises (@p38 @p16) :args (@t54 (@list false) (@list @t37))) % 28.54/28.74 (step @p40 :rule instantiate :premises (@p1) :args ((@list tptp.b))) % 28.54/28.74 (step @p41 :rule cnf_or_pos :args (@t54)) % 28.54/28.74 (step @p42 :rule reordering :premises (@p41) :args ((or @t40 @t50 @t52 (not @t54)))) % 28.54/28.74 (step @p43 :rule chain_m_resolution :premises (@p42 @p20 @p40 @p39) :args (@t52 (@list true false false) (@list @t40 @t49 @t54))) % 28.54/28.74 (step @p44 :rule cnf_or_pos :args (@t57)) % 28.54/28.74 (step @p45 :rule reordering :premises (@p44) :args ((or @t56 @t51 @t47 @t55 @t58))) % 28.54/28.74 (step @p46 :rule chain_m_resolution :premises (@p45 @p18 @p43 @p22 @p26) :args (@t58 (@list false true false false) (@list @t38 @t51 @t46 @t42))) % 28.54/28.74 (assume-push @p55 @t15) % 28.54/28.74 (step @p48 :rule instantiate :premises (@p8) :args ((@list @t41 tptp.a tptp.additive_identity tptp.b tptp.d tptp.c))) % 28.54/28.74 (step-pop @p56 :rule scope :premises (@p48)) % 28.54/28.74 (step @p49 :rule process_scope :premises (@p56) :args (@t57)) % 28.54/28.74 (step @p51 :rule implies_elim :premises (@p49)) % 28.54/28.74 (step @p52 false :rule chain_m_resolution :premises (@p51 @p46 @p8) :args (false (@list true false) (@list @t57 @t15))) % 28.54/28.74 ) % 28.54/28.75 % SZS output end Proof % 28.54/28.75 % cvc5 exiting %------------------------------------------------------------------------------