%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP001-1 : 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 : n010.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 08:19:32 AM UTC 2026 % Result : Unsatisfiable 0.72s 0.93s % Output : Proof 0.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP001-1 : 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 % 0.18/0.34 % Computer : n010.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 00:38:40 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.72/0.93 % SZS status Unsatisfiable % 0.72/0.93 % SZS output start Proof % 0.72/0.93 ( % 0.72/0.93 (declare-sort $$unsorted 0) % 0.72/0.93 (declare-const tptp.a $$unsorted) % 0.72/0.93 (declare-const tptp.b $$unsorted) % 0.72/0.93 (declare-const tptp.c $$unsorted) % 0.72/0.93 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.93 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.72/0.93 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.72/0.93 (declare-const tptp.identity $$unsorted) % 0.72/0.93 (define @t1 () (@var "X" $$unsorted)) % 0.72/0.93 (define @t2 () (@list @t1)) % 0.72/0.93 (define @t3 () (tptp.inverse @t1)) % 0.72/0.93 (define @t4 () (@var "Y" $$unsorted)) % 0.72/0.93 (define @t5 () (@var "W" $$unsorted)) % 0.72/0.93 (define @t6 () (@var "Z" $$unsorted)) % 0.72/0.93 (define @t7 () (@var "V" $$unsorted)) % 0.72/0.93 (define @t8 () (tptp.product @t1 @t7 @t5)) % 0.72/0.93 (define @t9 () (@var "U" $$unsorted)) % 0.72/0.93 (define @t10 () (tptp.product @t9 @t6 @t5)) % 0.72/0.93 (define @t11 () (not (tptp.product @t4 @t6 @t7))) % 0.72/0.93 (define @t12 () (not (tptp.product @t1 @t4 @t9))) % 0.72/0.93 (define @t13 () (@list @t1 @t4 @t9 @t6 @t7 @t5)) % 0.72/0.93 (define @t14 () (forall @t13 (or @t12 @t11 (not @t8) @t10))) % 0.72/0.93 (define @t15 () (tptp.product tptp.a tptp.b tptp.c)) % 0.72/0.93 (define @t16 () (tptp.product tptp.b tptp.a tptp.c)) % 0.72/0.93 (define @t17 () (@list tptp.b)) % 0.72/0.93 (define @t18 () (@list tptp.a)) % 0.72/0.93 (define @t19 () (tptp.product tptp.c tptp.b tptp.a)) % 0.72/0.93 (define @t20 () (tptp.product tptp.a tptp.identity tptp.a)) % 0.72/0.93 (define @t21 () (not @t20)) % 0.72/0.93 (define @t22 () (tptp.product tptp.b tptp.b tptp.identity)) % 0.72/0.93 (define @t23 () (not @t22)) % 0.72/0.93 (define @t24 () (not @t15)) % 0.72/0.93 (define @t25 () (or @t24 @t23 @t21 @t19)) % 0.72/0.93 (define @t26 () (@list false false false false)) % 0.72/0.93 (define @t27 () (not @t19)) % 0.72/0.93 (define @t28 () (tptp.product tptp.b tptp.c tptp.a)) % 0.72/0.93 (define @t29 () (not @t28)) % 0.72/0.93 (define @t30 () (or @t29 @t27 @t24 @t16)) % 0.72/0.93 (define @t31 () (tptp.product tptp.a tptp.c tptp.b)) % 0.72/0.93 (define @t32 () (tptp.product tptp.identity tptp.b tptp.b)) % 0.72/0.93 (define @t33 () (not @t32)) % 0.72/0.93 (define @t34 () (tptp.product tptp.a tptp.a tptp.identity)) % 0.72/0.93 (define @t35 () (not @t34)) % 0.72/0.93 (define @t36 () (or @t35 @t24 @t33 @t31)) % 0.72/0.93 (define @t37 () (tptp.product tptp.c tptp.c tptp.identity)) % 0.72/0.93 (define @t38 () (not @t37)) % 0.72/0.93 (define @t39 () (not @t31)) % 0.72/0.93 (define @t40 () (or @t39 @t38 @t21 @t28)) % 0.72/0.93 (define @t41 () (not @t40)) % 0.72/0.93 (assume @p1 (forall @t2 (tptp.product tptp.identity @t1 @t1))) % 0.72/0.93 (assume @p2 (forall @t2 (tptp.product @t1 tptp.identity @t1))) % 0.72/0.93 (assume @p3 (forall @t2 (tptp.product @t3 @t1 tptp.identity))) % 0.72/0.93 (assume @p4 (forall @t2 (tptp.product @t1 @t3 tptp.identity))) % 0.72/0.93 (assume @p5 (forall (@list @t1 @t4) (tptp.product @t1 @t4 (tptp.multiply @t1 @t4)))) % 0.72/0.93 (assume @p6 (forall (@list @t1 @t4 @t6 @t5) (or (not (tptp.product @t1 @t4 @t6)) (not (tptp.product @t1 @t4 @t5)) (= @t6 @t5)))) % 0.72/0.93 (assume @p7 (forall @t13 (or @t12 @t11 (not @t10) @t8))) % 0.72/0.93 (assume @p8 @t14) % 0.72/0.93 (assume @p9 (forall @t2 (tptp.product @t1 @t1 tptp.identity))) % 0.72/0.93 (assume @p10 @t15) % 0.72/0.93 (assume @p11 (not @t16)) % 0.72/0.93 (step @p12 :rule instantiate :premises (@p9) :args ((@list tptp.c))) % 0.72/0.93 (step @p13 :rule instantiate :premises (@p7) :args ((@list tptp.b tptp.c tptp.a tptp.b tptp.a tptp.c))) % 0.72/0.93 (step @p14 :rule instantiate :premises (@p8) :args ((@list tptp.a tptp.b tptp.c tptp.b tptp.identity tptp.a))) % 0.72/0.93 (step @p15 :rule instantiate :premises (@p9) :args (@t17)) % 0.72/0.93 (step @p16 :rule instantiate :premises (@p2) :args (@t18)) % 0.72/0.93 (step @p17 :rule cnf_or_pos :args (@t25)) % 0.72/0.93 (step @p18 :rule reordering :premises (@p17) :args ((or @t24 @t21 @t23 @t19 (not @t25)))) % 0.72/0.93 (step @p19 :rule chain_m_resolution :premises (@p18 @p10 @p16 @p15 @p14) :args (@t19 @t26 (@list @t15 @t20 @t22 @t25))) % 0.72/0.93 (step @p20 :rule cnf_or_pos :args (@t30)) % 0.72/0.93 (step @p21 :rule reordering :premises (@p20) :args ((or @t16 @t24 @t27 @t29 (not @t30)))) % 0.72/0.93 (step @p22 :rule chain_m_resolution :premises (@p21 @p11 @p10 @p19 @p13) :args (@t29 (@list true false false false) (@list @t16 @t15 @t19 @t30))) % 0.72/0.93 (step @p23 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.a tptp.identity tptp.b tptp.c tptp.b))) % 0.72/0.93 (step @p24 :rule instantiate :premises (@p1) :args (@t17)) % 0.72/0.93 (step @p25 :rule instantiate :premises (@p9) :args (@t18)) % 0.72/0.93 (step @p26 :rule cnf_or_pos :args (@t36)) % 0.72/0.93 (step @p27 :rule reordering :premises (@p26) :args ((or @t24 @t35 @t33 @t31 (not @t36)))) % 0.72/0.93 (step @p28 :rule chain_m_resolution :premises (@p27 @p10 @p25 @p24 @p23) :args (@t31 @t26 (@list @t15 @t34 @t32 @t36))) % 0.72/0.93 (step @p29 :rule cnf_or_pos :args (@t40)) % 0.72/0.93 (step @p30 :rule reordering :premises (@p29) :args ((or @t21 @t39 @t28 @t38 @t41))) % 0.72/0.93 (step @p31 :rule chain_m_resolution :premises (@p30 @p16 @p28 @p22 @p12) :args (@t41 (@list false false true false) (@list @t20 @t31 @t28 @t37))) % 0.72/0.93 (assume-push @p38 @t14) % 0.72/0.93 (step @p33 :rule instantiate :premises (@p8) :args ((@list tptp.a tptp.c tptp.b tptp.c tptp.identity tptp.a))) % 0.72/0.93 (step-pop @p39 :rule scope :premises (@p33)) % 0.72/0.93 (step @p34 :rule process_scope :premises (@p39) :args (@t40)) % 0.72/0.93 (step @p36 :rule implies_elim :premises (@p34)) % 0.72/0.93 (step @p37 false :rule chain_m_resolution :premises (@p36 @p31 @p8) :args (false (@list true false) (@list @t40 @t14))) % 0.72/0.93 ) % 0.72/0.94 % SZS output end Proof % 0.72/0.94 % cvc5 exiting %------------------------------------------------------------------------------