%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP123-1.003 : TPTP v9.2.1. Released v1.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:19:48 AM UTC 2026 % Result : Unsatisfiable 0.31s 0.55s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP123-1.003 : TPTP v9.2.1. Released v1.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n004.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 00:51:22 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.55 % SZS status Unsatisfiable % 0.31/0.55 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort $$unsorted 0) % 0.31/0.55 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.e_2 $$unsorted) % 0.31/0.55 (declare-const tptp.group_element (-> $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.e_3 $$unsorted) % 0.31/0.55 (declare-const tptp.e_1 $$unsorted) % 0.31/0.55 (define @t1 () (tptp.group_element tptp.e_1)) % 0.31/0.55 (define @t2 () (tptp.group_element tptp.e_2)) % 0.31/0.55 (define @t3 () (tptp.group_element tptp.e_3)) % 0.31/0.55 (define @t4 () (tptp.equalish tptp.e_1 tptp.e_2)) % 0.31/0.55 (define @t5 () (tptp.equalish tptp.e_3 tptp.e_1)) % 0.31/0.55 (define @t6 () (tptp.equalish tptp.e_3 tptp.e_2)) % 0.31/0.55 (define @t7 () (@var "Y" $$unsorted)) % 0.31/0.55 (define @t8 () (@var "X" $$unsorted)) % 0.31/0.55 (define @t9 () (@var "Z" $$unsorted)) % 0.31/0.55 (define @t10 () (@var "W" $$unsorted)) % 0.31/0.55 (define @t11 () (tptp.equalish @t10 @t9)) % 0.31/0.55 (define @t12 () (forall (@list @t8 @t10 @t7 @t9) (or (not (tptp.product @t8 @t10 @t7)) (not (tptp.product @t8 @t9 @t7)) @t11))) % 0.31/0.55 (define @t13 () (@var "X2" $$unsorted)) % 0.31/0.55 (define @t14 () (@var "X1" $$unsorted)) % 0.31/0.55 (define @t15 () (@var "Y2" $$unsorted)) % 0.31/0.55 (define @t16 () (@var "Z2" $$unsorted)) % 0.31/0.55 (define @t17 () (not (tptp.product @t16 @t15 @t13))) % 0.31/0.55 (define @t18 () (@var "Y1" $$unsorted)) % 0.31/0.55 (define @t19 () (not (tptp.product @t16 @t18 @t14))) % 0.31/0.55 (define @t20 () (@var "Z1" $$unsorted)) % 0.31/0.55 (define @t21 () (not (tptp.product @t13 @t15 @t20))) % 0.31/0.55 (define @t22 () (not (tptp.product @t14 @t18 @t20))) % 0.31/0.55 (define @t23 () (@list @t14 @t18 @t20 @t13 @t15 @t16)) % 0.31/0.55 (define @t24 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_3)) % 0.31/0.55 (define @t25 () (not @t24)) % 0.31/0.55 (define @t26 () (tptp.product tptp.e_3 tptp.e_1 tptp.e_3)) % 0.31/0.55 (define @t27 () (not @t26)) % 0.31/0.55 (define @t28 () (or @t27 @t25 @t6)) % 0.31/0.55 (define @t29 () (tptp.product tptp.e_2 tptp.e_2 tptp.e_2)) % 0.31/0.55 (define @t30 () (not @t29)) % 0.31/0.55 (define @t31 () (tptp.product tptp.e_3 tptp.e_1 tptp.e_2)) % 0.31/0.55 (define @t32 () (not @t31)) % 0.31/0.55 (define @t33 () (or @t32 @t30 @t25 @t30 @t6)) % 0.31/0.55 (define @t34 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_1)) % 0.31/0.55 (define @t35 () (not @t34)) % 0.31/0.55 (define @t36 () (tptp.product tptp.e_3 tptp.e_1 tptp.e_1)) % 0.31/0.55 (define @t37 () (not @t36)) % 0.31/0.55 (define @t38 () (or @t37 @t35 @t5)) % 0.31/0.55 (define @t39 () (@list true false false)) % 0.31/0.55 (define @t40 () (not @t1)) % 0.31/0.55 (define @t41 () (not @t3)) % 0.31/0.55 (define @t42 () (or @t41 @t40 @t36 @t31 @t26)) % 0.31/0.55 (define @t43 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_1)) % 0.31/0.55 (define @t44 () (not @t43)) % 0.31/0.55 (define @t45 () (or @t35 @t44 @t4)) % 0.31/0.55 (define @t46 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_2)) % 0.31/0.55 (define @t47 () (not @t2)) % 0.31/0.55 (define @t48 () (or @t47 @t40 @t43 @t46 @t24)) % 0.31/0.55 (define @t49 () (not @t46)) % 0.31/0.55 (define @t50 () (or @t49 @t30 @t4)) % 0.31/0.55 (define @t51 () (not @t50)) % 0.31/0.55 (assume @p1 @t1) % 0.31/0.55 (assume @p2 @t2) % 0.31/0.55 (assume @p3 @t3) % 0.31/0.55 (assume @p4 (not @t4)) % 0.31/0.55 (assume @p5 (not (tptp.equalish tptp.e_1 tptp.e_3))) % 0.31/0.55 (assume @p6 (not (tptp.equalish tptp.e_2 tptp.e_1))) % 0.31/0.55 (assume @p7 (not (tptp.equalish tptp.e_2 tptp.e_3))) % 0.31/0.55 (assume @p8 (not @t5)) % 0.31/0.55 (assume @p9 (not @t6)) % 0.31/0.55 (assume @p10 (forall (@list @t8 @t7) (or (not (tptp.group_element @t8)) (not (tptp.group_element @t7)) (tptp.product @t8 @t7 tptp.e_1) (tptp.product @t8 @t7 tptp.e_2) (tptp.product @t8 @t7 tptp.e_3)))) % 0.31/0.55 (assume @p11 (forall (@list @t8 @t7 @t10 @t9) (or (not (tptp.product @t8 @t7 @t10)) (not (tptp.product @t8 @t7 @t9)) @t11))) % 0.31/0.55 (assume @p12 @t12) % 0.31/0.55 (assume @p13 (forall (@list @t10 @t7 @t8 @t9) (or (not (tptp.product @t10 @t7 @t8)) (not (tptp.product @t9 @t7 @t8)) @t11))) % 0.31/0.55 (assume @p14 (forall (@list @t8) (tptp.product @t8 @t8 @t8))) % 0.31/0.55 (assume @p15 (forall @t23 (or @t22 @t21 @t19 @t17 (tptp.equalish @t14 @t13)))) % 0.31/0.55 (assume @p16 (forall @t23 (or @t22 @t21 @t19 @t17 (tptp.equalish @t18 @t15)))) % 0.31/0.55 (step @p17 :rule instantiate :premises (@p10) :args ((@list tptp.e_2 tptp.e_1))) % 0.31/0.55 (step @p18 :rule instantiate :premises (@p13) :args ((@list tptp.e_3 tptp.e_1 tptp.e_3 tptp.e_2))) % 0.31/0.55 (step @p19 :rule cnf_or_pos :args (@t28)) % 0.31/0.55 (step @p20 :rule reordering :premises (@p19) :args ((or @t6 @t25 @t27 (not @t28)))) % 0.31/0.55 (step @p21 :rule instantiate :premises (@p14) :args ((@list tptp.e_2))) % 0.31/0.55 (step @p22 :rule instantiate :premises (@p15) :args ((@list tptp.e_3 tptp.e_1 tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_2))) % 0.31/0.55 (step @p23 :rule cnf_or_pos :args (@t33)) % 0.31/0.55 (step @p24 :rule factoring :premises (@p23)) % 0.31/0.55 (step @p25 :rule reordering :premises (@p24) :args ((or @t6 @t30 @t25 @t32 (not @t33)))) % 0.31/0.55 (step @p26 :rule instantiate :premises (@p10) :args ((@list tptp.e_3 tptp.e_1))) % 0.31/0.55 (step @p27 :rule instantiate :premises (@p13) :args ((@list tptp.e_3 tptp.e_1 tptp.e_1 tptp.e_1))) % 0.31/0.55 (step @p28 :rule instantiate :premises (@p14) :args ((@list tptp.e_1))) % 0.31/0.55 (step @p29 :rule cnf_or_pos :args (@t38)) % 0.31/0.55 (step @p30 :rule reordering :premises (@p29) :args ((or @t5 @t35 @t37 (not @t38)))) % 0.31/0.55 (step @p31 :rule chain_m_resolution :premises (@p30 @p8 @p28 @p27) :args (@t37 @t39 (@list @t5 @t34 @t38))) % 0.31/0.55 (step @p32 :rule cnf_or_pos :args (@t42)) % 0.31/0.55 (step @p33 :rule reordering :premises (@p32) :args ((or @t40 @t41 @t36 @t31 @t26 (not @t42)))) % 0.31/0.55 (step @p34 :rule chain_m_resolution :premises (@p33 @p31 @p26 @p3 @p1 @p25 @p22 @p21 @p9 @p20 @p18 @p9) :args (@t25 (@list true false false false true false false true true false true) (@list @t36 @t42 @t3 @t1 @t31 @t33 @t29 @t6 @t26 @t28 @t6))) % 0.31/0.55 (step @p35 :rule instantiate :premises (@p13) :args ((@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2))) % 0.31/0.55 (step @p36 :rule cnf_or_pos :args (@t45)) % 0.31/0.55 (step @p37 :rule reordering :premises (@p36) :args ((or @t4 @t35 @t44 (not @t45)))) % 0.31/0.55 (step @p38 :rule chain_m_resolution :premises (@p37 @p4 @p28 @p35) :args (@t44 @t39 (@list @t4 @t34 @t45))) % 0.31/0.55 (step @p39 :rule cnf_or_pos :args (@t48)) % 0.31/0.55 (step @p40 :rule reordering :premises (@p39) :args ((or @t40 @t47 @t43 @t46 @t24 (not @t48)))) % 0.31/0.55 (step @p41 :rule chain_m_resolution :premises (@p40 @p1 @p2 @p38 @p34 @p17) :args (@t46 (@list false false true true false) (@list @t1 @t2 @t43 @t24 @t48))) % 0.31/0.55 (step @p42 :rule cnf_or_pos :args (@t50)) % 0.31/0.55 (step @p43 :rule reordering :premises (@p42) :args ((or @t4 @t30 @t49 @t51))) % 0.31/0.55 (step @p44 :rule chain_m_resolution :premises (@p43 @p4 @p21 @p41) :args (@t51 @t39 (@list @t4 @t29 @t46))) % 0.31/0.55 (assume-push @p51 @t12) % 0.31/0.55 (step @p46 :rule instantiate :premises (@p12) :args ((@list tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_2))) % 0.31/0.55 (step-pop @p52 :rule scope :premises (@p46)) % 0.31/0.55 (step @p47 :rule process_scope :premises (@p52) :args (@t50)) % 0.31/0.55 (step @p49 :rule implies_elim :premises (@p47)) % 0.31/0.55 (step @p50 false :rule chain_m_resolution :premises (@p49 @p44 @p12) :args (false (@list true false) (@list @t50 @t12))) % 0.31/0.55 ) % 0.38/0.55 % SZS output end Proof % 0.38/0.55 % cvc5 exiting %------------------------------------------------------------------------------