%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP042-2 : 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 : n005.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 08:19:41 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.62s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP042-2 : 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 % 0.16/0.34 % Computer : n005.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 00:41:33 EDT 2026 % 0.16/0.34 % 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... % 0.37/0.62 % SZS status Unsatisfiable % 0.37/0.62 % SZS output start Proof % 0.37/0.62 ( % 0.37/0.62 (declare-sort $$unsorted 0) % 0.37/0.62 (declare-const tptp.a $$unsorted) % 0.37/0.62 (declare-const tptp.b $$unsorted) % 0.37/0.62 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.identity $$unsorted) % 0.37/0.62 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.62 (define @t2 () (@list @t1)) % 0.37/0.62 (define @t3 () (@var "Y" $$unsorted)) % 0.37/0.62 (define @t4 () (@var "W" $$unsorted)) % 0.37/0.62 (define @t5 () (@var "Z" $$unsorted)) % 0.37/0.62 (define @t6 () (forall (@list @t1 @t3 @t5 @t4) (or (not (tptp.product @t1 @t3 @t5)) (not (tptp.product @t1 @t3 @t4)) (tptp.equalish @t5 @t4)))) % 0.37/0.62 (define @t7 () (@var "V" $$unsorted)) % 0.37/0.62 (define @t8 () (tptp.product @t1 @t7 @t4)) % 0.37/0.62 (define @t9 () (@var "U" $$unsorted)) % 0.37/0.62 (define @t10 () (tptp.product @t9 @t5 @t4)) % 0.37/0.62 (define @t11 () (not (tptp.product @t3 @t5 @t7))) % 0.37/0.62 (define @t12 () (not (tptp.product @t1 @t3 @t9))) % 0.37/0.62 (define @t13 () (@list @t1 @t3 @t9 @t5 @t7 @t4)) % 0.37/0.62 (define @t14 () (tptp.equalish tptp.a tptp.b)) % 0.37/0.62 (define @t15 () (tptp.equalish tptp.b tptp.a)) % 0.37/0.62 (define @t16 () (tptp.product tptp.identity tptp.a tptp.b)) % 0.37/0.62 (define @t17 () (tptp.product tptp.identity tptp.a tptp.a)) % 0.37/0.62 (define @t18 () (not @t17)) % 0.37/0.62 (define @t19 () (not @t14)) % 0.37/0.62 (define @t20 () (or @t19 @t18 @t16)) % 0.37/0.62 (define @t21 () (not @t16)) % 0.37/0.62 (define @t22 () (or @t21 @t18 @t15)) % 0.37/0.62 (define @t23 () (not @t22)) % 0.37/0.62 (assume @p1 (forall @t2 (tptp.product tptp.identity @t1 @t1))) % 0.37/0.62 (assume @p2 (forall @t2 (tptp.product (tptp.inverse @t1) @t1 tptp.identity))) % 0.37/0.62 (assume @p3 (forall (@list @t1 @t3) (tptp.product @t1 @t3 (tptp.multiply @t1 @t3)))) % 0.37/0.62 (assume @p4 @t6) % 0.37/0.62 (assume @p5 (forall @t13 (or @t12 @t11 (not @t10) @t8))) % 0.37/0.62 (assume @p6 (forall @t13 (or @t12 @t11 (not @t8) @t10))) % 0.37/0.62 (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)))) % 0.37/0.62 (assume @p8 @t14) % 0.37/0.62 (assume @p9 (not @t15)) % 0.37/0.62 (step @p10 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.b tptp.identity tptp.a))) % 0.37/0.62 (step @p11 :rule instantiate :premises (@p1) :args ((@list tptp.a))) % 0.37/0.62 (step @p12 :rule cnf_or_pos :args (@t20)) % 0.37/0.62 (step @p13 :rule reordering :premises (@p12) :args ((or @t19 @t18 @t16 (not @t20)))) % 0.37/0.62 (step @p14 :rule chain_m_resolution :premises (@p13 @p8 @p11 @p10) :args (@t16 (@list false false false) (@list @t14 @t17 @t20))) % 0.37/0.62 (step @p15 :rule cnf_or_pos :args (@t22)) % 0.37/0.62 (step @p16 :rule reordering :premises (@p15) :args ((or @t15 @t18 @t21 @t23))) % 0.37/0.62 (step @p17 :rule chain_m_resolution :premises (@p16 @p9 @p11 @p14) :args (@t23 (@list true false false) (@list @t15 @t17 @t16))) % 0.37/0.62 (assume-push @p24 @t6) % 0.37/0.62 (step @p19 :rule instantiate :premises (@p4) :args ((@list tptp.identity tptp.a tptp.b tptp.a))) % 0.37/0.62 (step-pop @p25 :rule scope :premises (@p19)) % 0.37/0.62 (step @p20 :rule process_scope :premises (@p25) :args (@t22)) % 0.37/0.62 (step @p22 :rule implies_elim :premises (@p20)) % 0.37/0.62 (step @p23 false :rule chain_m_resolution :premises (@p22 @p17 @p4) :args (false (@list true false) (@list @t22 @t6))) % 0.37/0.62 ) % 0.37/0.62 % SZS output end Proof % 0.37/0.62 % cvc5 exiting %------------------------------------------------------------------------------