%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP004-2 : 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 08:19:34 AM UTC 2026 % Result : Unsatisfiable 1.13s 1.39s % Output : Proof 1.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP004-2 : 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 % 0.17/0.34 % 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 00:39:55 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.13/1.39 % SZS status Unsatisfiable % 1.13/1.39 % SZS output start Proof % 1.13/1.39 ( % 1.13/1.39 (declare-sort $$unsorted 0) % 1.13/1.39 (declare-const tptp.a $$unsorted) % 1.13/1.39 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.39 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 1.13/1.39 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.identity $$unsorted) % 1.13/1.39 (define @t1 () (@var "X" $$unsorted)) % 1.13/1.39 (define @t2 () (@list @t1)) % 1.13/1.39 (define @t3 () (@var "Y" $$unsorted)) % 1.13/1.39 (define @t4 () (@var "W" $$unsorted)) % 1.13/1.39 (define @t5 () (@var "Z" $$unsorted)) % 1.13/1.39 (define @t6 () (@var "V" $$unsorted)) % 1.13/1.39 (define @t7 () (tptp.product @t1 @t6 @t4)) % 1.13/1.39 (define @t8 () (@var "U" $$unsorted)) % 1.13/1.39 (define @t9 () (tptp.product @t8 @t5 @t4)) % 1.13/1.39 (define @t10 () (not (tptp.product @t3 @t5 @t6))) % 1.13/1.39 (define @t11 () (not (tptp.product @t1 @t3 @t8))) % 1.13/1.39 (define @t12 () (@list @t1 @t3 @t8 @t5 @t6 @t4)) % 1.13/1.39 (define @t13 () (forall @t12 (or @t11 @t10 (not @t7) @t9))) % 1.13/1.39 (define @t14 () (tptp.inverse tptp.a)) % 1.13/1.39 (define @t15 () (tptp.product tptp.a @t14 tptp.identity)) % 1.13/1.39 (define @t16 () (tptp.inverse @t14)) % 1.13/1.39 (define @t17 () (@list @t14)) % 1.13/1.39 (define @t18 () (@list tptp.a)) % 1.13/1.39 (define @t19 () (tptp.product @t16 tptp.identity tptp.a)) % 1.13/1.39 (define @t20 () (tptp.product tptp.identity tptp.a tptp.a)) % 1.13/1.39 (define @t21 () (not @t20)) % 1.13/1.39 (define @t22 () (tptp.product @t14 tptp.a tptp.identity)) % 1.13/1.39 (define @t23 () (not @t22)) % 1.13/1.39 (define @t24 () (tptp.product @t16 @t14 tptp.identity)) % 1.13/1.39 (define @t25 () (not @t24)) % 1.13/1.39 (define @t26 () (or @t25 @t23 @t21 @t19)) % 1.13/1.39 (define @t27 () (tptp.product tptp.identity @t14 @t14)) % 1.13/1.39 (define @t28 () (not @t27)) % 1.13/1.39 (define @t29 () (not @t19)) % 1.13/1.39 (define @t30 () (or @t29 @t28 @t25 @t15)) % 1.13/1.39 (define @t31 () (not @t30)) % 1.13/1.39 (assume @p1 (forall @t2 (tptp.product tptp.identity @t1 @t1))) % 1.13/1.39 (assume @p2 (forall @t2 (tptp.product (tptp.inverse @t1) @t1 tptp.identity))) % 1.13/1.39 (assume @p3 (forall (@list @t1 @t3) (tptp.product @t1 @t3 (tptp.multiply @t1 @t3)))) % 1.13/1.39 (assume @p4 (forall (@list @t1 @t3 @t5 @t4) (or (not (tptp.product @t1 @t3 @t5)) (not (tptp.product @t1 @t3 @t4)) (tptp.equalish @t5 @t4)))) % 1.13/1.39 (assume @p5 (forall @t12 (or @t11 @t10 (not @t9) @t7))) % 1.13/1.39 (assume @p6 @t13) % 1.13/1.39 (assume @p7 (forall (@list @t1 @t3 @t4 @t5) (or (not (tptp.equalish @t1 @t3)) (not (tptp.product @t4 @t5 @t1)) (tptp.product @t4 @t5 @t3)))) % 1.13/1.39 (assume @p8 (not @t15)) % 1.13/1.39 (step @p9 :rule instantiate :premises (@p5) :args ((@list @t16 @t14 tptp.identity tptp.a tptp.identity tptp.a))) % 1.13/1.39 (step @p10 :rule instantiate :premises (@p2) :args (@t17)) % 1.13/1.39 (step @p11 :rule instantiate :premises (@p1) :args (@t18)) % 1.13/1.39 (step @p12 :rule instantiate :premises (@p2) :args (@t18)) % 1.13/1.39 (step @p13 :rule cnf_or_pos :args (@t26)) % 1.13/1.39 (step @p14 :rule reordering :premises (@p13) :args ((or @t23 @t21 @t25 @t19 (not @t26)))) % 1.13/1.39 (step @p15 :rule chain_m_resolution :premises (@p14 @p12 @p11 @p10 @p9) :args (@t19 (@list false false false false) (@list @t22 @t20 @t24 @t26))) % 1.13/1.39 (step @p16 :rule instantiate :premises (@p1) :args (@t17)) % 1.13/1.39 (step @p17 :rule cnf_or_pos :args (@t30)) % 1.13/1.39 (step @p18 :rule reordering :premises (@p17) :args ((or @t15 @t25 @t28 @t29 @t31))) % 1.13/1.39 (step @p19 :rule chain_m_resolution :premises (@p18 @p8 @p10 @p16 @p15) :args (@t31 (@list true false false false) (@list @t15 @t24 @t27 @t19))) % 1.13/1.39 (assume-push @p26 @t13) % 1.13/1.39 (step @p21 :rule instantiate :premises (@p6) :args ((@list @t16 tptp.identity tptp.a @t14 @t14 tptp.identity))) % 1.13/1.39 (step-pop @p27 :rule scope :premises (@p21)) % 1.13/1.39 (step @p22 :rule process_scope :premises (@p27) :args (@t30)) % 1.13/1.39 (step @p24 :rule implies_elim :premises (@p22)) % 1.13/1.39 (step @p25 false :rule chain_m_resolution :premises (@p24 @p19 @p6) :args (false (@list true false) (@list @t30 @t13))) % 1.13/1.39 ) % 1.13/1.40 % SZS output end Proof % 1.13/1.40 % cvc5 exiting %------------------------------------------------------------------------------