%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP012-2 : 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 : n002.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 08:19:35 AM UTC 2026 % Result : Unsatisfiable 27.42s 27.86s % Output : Proof 27.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP012-2 : 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 : n002.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 00:40:03 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.32/15.53 --- Run --no-e-matching --full-saturate-quant at 6... % 21.33/21.55 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.32/27.58 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.42/27.86 % SZS status Unsatisfiable % 27.42/27.86 % SZS output start Proof % 27.42/27.86 ( % 27.42/27.86 (declare-sort $$unsorted 0) % 27.42/27.86 (declare-const tptp.d $$unsorted) % 27.42/27.86 (declare-const tptp.a $$unsorted) % 27.42/27.86 (declare-const tptp.c $$unsorted) % 27.42/27.86 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 27.42/27.86 (declare-const tptp.b $$unsorted) % 27.42/27.86 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 27.42/27.86 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 27.42/27.86 (declare-const tptp.identity $$unsorted) % 27.42/27.86 (define @t1 () (@var "X" $$unsorted)) % 27.42/27.86 (define @t2 () (@list @t1)) % 27.42/27.86 (define @t3 () (tptp.inverse @t1)) % 27.42/27.86 (define @t4 () (@var "Y" $$unsorted)) % 27.42/27.86 (define @t5 () (@var "W" $$unsorted)) % 27.42/27.86 (define @t6 () (@var "Z" $$unsorted)) % 27.42/27.86 (define @t7 () (@var "V" $$unsorted)) % 27.42/27.86 (define @t8 () (tptp.product @t1 @t7 @t5)) % 27.42/27.86 (define @t9 () (@var "U" $$unsorted)) % 27.42/27.86 (define @t10 () (tptp.product @t9 @t6 @t5)) % 27.42/27.86 (define @t11 () (not (tptp.product @t4 @t6 @t7))) % 27.42/27.86 (define @t12 () (not (tptp.product @t1 @t4 @t9))) % 27.42/27.86 (define @t13 () (@list @t1 @t4 @t9 @t6 @t7 @t5)) % 27.42/27.86 (define @t14 () (forall @t13 (or @t12 @t11 (not @t10) @t8))) % 27.42/27.86 (define @t15 () (tptp.product tptp.a tptp.b tptp.c)) % 27.42/27.86 (define @t16 () (tptp.inverse tptp.a)) % 27.42/27.86 (define @t17 () (tptp.inverse tptp.b)) % 27.42/27.86 (define @t18 () (tptp.product @t17 @t16 tptp.d)) % 27.42/27.86 (define @t19 () (tptp.inverse tptp.c)) % 27.42/27.86 (define @t20 () (= tptp.d @t19)) % 27.42/27.86 (define @t21 () (tptp.product @t17 @t16 @t19)) % 27.42/27.86 (define @t22 () (not @t21)) % 27.42/27.86 (define @t23 () (not @t18)) % 27.42/27.86 (define @t24 () (or @t23 @t22 @t20)) % 27.42/27.86 (define @t25 () (@list tptp.b)) % 27.42/27.86 (define @t26 () (tptp.product tptp.identity @t19 @t19)) % 27.42/27.86 (define @t27 () (not @t26)) % 27.42/27.86 (define @t28 () (tptp.product tptp.b @t19 @t16)) % 27.42/27.86 (define @t29 () (not @t28)) % 27.42/27.86 (define @t30 () (tptp.product @t17 tptp.b tptp.identity)) % 27.42/27.86 (define @t31 () (not @t30)) % 27.42/27.86 (define @t32 () (or @t31 @t29 @t27 @t21)) % 27.42/27.86 (define @t33 () (@list false false true false)) % 27.42/27.86 (define @t34 () (tptp.product @t16 tptp.identity @t16)) % 27.42/27.86 (define @t35 () (not @t34)) % 27.42/27.86 (define @t36 () (tptp.product tptp.c @t19 tptp.identity)) % 27.42/27.86 (define @t37 () (not @t36)) % 27.42/27.86 (define @t38 () (tptp.product @t16 tptp.c tptp.b)) % 27.42/27.86 (define @t39 () (not @t38)) % 27.42/27.86 (define @t40 () (or @t39 @t37 @t35 @t28)) % 27.42/27.86 (define @t41 () (tptp.product tptp.identity tptp.b tptp.b)) % 27.42/27.86 (define @t42 () (not @t41)) % 27.42/27.86 (define @t43 () (not @t15)) % 27.42/27.86 (define @t44 () (tptp.product @t16 tptp.a tptp.identity)) % 27.42/27.86 (define @t45 () (not @t44)) % 27.42/27.86 (define @t46 () (or @t45 @t43 @t42 @t38)) % 27.42/27.86 (define @t47 () (not @t46)) % 27.42/27.86 (assume @p1 (forall @t2 (tptp.product tptp.identity @t1 @t1))) % 27.42/27.86 (assume @p2 (forall @t2 (tptp.product @t1 tptp.identity @t1))) % 27.42/27.86 (assume @p3 (forall @t2 (tptp.product @t3 @t1 tptp.identity))) % 27.42/27.86 (assume @p4 (forall @t2 (tptp.product @t1 @t3 tptp.identity))) % 27.42/27.86 (assume @p5 (forall (@list @t1 @t4) (tptp.product @t1 @t4 (tptp.multiply @t1 @t4)))) % 27.42/27.86 (assume @p6 (forall (@list @t1 @t4 @t6 @t5) (or (not (tptp.product @t1 @t4 @t6)) (not (tptp.product @t1 @t4 @t5)) (= @t6 @t5)))) % 27.42/27.86 (assume @p7 @t14) % 27.42/27.86 (assume @p8 (forall @t13 (or @t12 @t11 (not @t8) @t10))) % 27.42/27.86 (assume @p9 @t15) % 27.42/27.86 (assume @p10 @t18) % 27.42/27.86 (assume @p11 (not (= @t19 tptp.d))) % 27.42/27.86 (step @p12 :rule instantiate :premises (@p3) :args ((@list tptp.a))) % 27.42/27.86 (step @p13 :rule instantiate :premises (@p8) :args ((@list @t16 tptp.c tptp.b @t19 tptp.identity @t16))) % 27.42/27.86 (step @p14 :rule instantiate :premises (@p7) :args ((@list @t17 tptp.b tptp.identity @t19 @t16 @t19))) % 27.42/27.86 (step @p15 :rule instantiate :premises (@p6) :args ((@list @t17 @t16 tptp.d @t19))) % 27.42/27.86 (step @p16 :rule symm :premises (@p11)) % 27.42/27.86 (step @p17 :rule cnf_or_pos :args (@t24)) % 27.42/27.86 (step @p18 :rule reordering :premises (@p17) :args ((or @t20 @t23 @t22 (not @t24)))) % 27.42/27.86 (step @p19 :rule chain_m_resolution :premises (@p18 @p16 @p10 @p15) :args (@t22 (@list true false false) (@list @t20 @t18 @t24))) % 27.42/27.86 (step @p20 :rule instantiate :premises (@p1) :args ((@list @t19))) % 27.42/27.86 (step @p21 :rule instantiate :premises (@p3) :args (@t25)) % 27.42/27.86 (step @p22 :rule cnf_or_pos :args (@t32)) % 27.42/27.86 (step @p23 :rule reordering :premises (@p22) :args ((or @t31 @t27 @t21 @t29 (not @t32)))) % 27.42/27.86 (step @p24 :rule chain_m_resolution :premises (@p23 @p21 @p20 @p19 @p14) :args (@t29 @t33 (@list @t30 @t26 @t21 @t32))) % 27.42/27.86 (step @p25 :rule instantiate :premises (@p4) :args ((@list tptp.c))) % 27.42/27.86 (step @p26 :rule instantiate :premises (@p2) :args ((@list @t16))) % 27.42/27.86 (step @p27 :rule cnf_or_pos :args (@t40)) % 27.42/27.86 (step @p28 :rule reordering :premises (@p27) :args ((or @t35 @t39 @t37 @t28 (not @t40)))) % 27.42/27.86 (step @p29 :rule chain_m_resolution :premises (@p28 @p26 @p25 @p24 @p13) :args (@t39 @t33 (@list @t34 @t36 @t28 @t40))) % 27.42/27.86 (step @p30 :rule instantiate :premises (@p1) :args (@t25)) % 27.42/27.86 (step @p31 :rule cnf_or_pos :args (@t46)) % 27.42/27.86 (step @p32 :rule reordering :premises (@p31) :args ((or @t43 @t42 @t38 @t45 @t47))) % 27.42/27.86 (step @p33 :rule chain_m_resolution :premises (@p32 @p9 @p30 @p29 @p12) :args (@t47 @t33 (@list @t15 @t41 @t38 @t44))) % 27.42/27.86 (assume-push @p40 @t14) % 27.42/27.86 (step @p35 :rule instantiate :premises (@p7) :args ((@list @t16 tptp.a tptp.identity tptp.b tptp.c tptp.b))) % 27.42/27.86 (step-pop @p41 :rule scope :premises (@p35)) % 27.42/27.86 (step @p36 :rule process_scope :premises (@p41) :args (@t46)) % 27.42/27.86 (step @p38 :rule implies_elim :premises (@p36)) % 27.42/27.86 (step @p39 false :rule chain_m_resolution :premises (@p38 @p33 @p7) :args (false (@list true false) (@list @t46 @t14))) % 27.42/27.86 ) % 27.42/27.86 % SZS output end Proof % 27.42/27.86 % cvc5 exiting %------------------------------------------------------------------------------