%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP135-2.002 : TPTP v9.2.1. Released v1.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:19:59 AM UTC 2026 % Result : Unsatisfiable 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP135-2.002 : TPTP v9.2.1. Released v1.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n011.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 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 00:53:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.26/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.56 % SZS status Unsatisfiable % 0.36/0.56 % SZS output start Proof % 0.36/0.56 ( % 0.36/0.56 (declare-sort $$unsorted 0) % 0.36/0.56 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.group_element (-> $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.next (-> $$unsorted $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.e_1 $$unsorted) % 0.36/0.56 (declare-const tptp.e_2 $$unsorted) % 0.36/0.56 (define @t1 () (@var "X1" $$unsorted)) % 0.36/0.56 (define @t2 () (@var "Y" $$unsorted)) % 0.36/0.56 (define @t3 () (@var "X" $$unsorted)) % 0.36/0.56 (define @t4 () (tptp.group_element tptp.e_1)) % 0.36/0.56 (define @t5 () (tptp.group_element tptp.e_2)) % 0.36/0.56 (define @t6 () (tptp.equalish tptp.e_1 tptp.e_2)) % 0.36/0.56 (define @t7 () (tptp.equalish tptp.e_2 tptp.e_1)) % 0.36/0.56 (define @t8 () (@var "Z" $$unsorted)) % 0.36/0.56 (define @t9 () (@var "W" $$unsorted)) % 0.36/0.56 (define @t10 () (tptp.equalish @t9 @t8)) % 0.36/0.56 (define @t11 () (@var "Z2" $$unsorted)) % 0.36/0.56 (define @t12 () (@var "Z1" $$unsorted)) % 0.36/0.56 (define @t13 () (forall (@list @t2 @t3 @t12 @t11) (or (not (tptp.product @t2 @t3 @t12)) (not (tptp.product @t12 @t2 @t11)) (tptp.product @t11 @t2 @t3)))) % 0.36/0.56 (define @t14 () (@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2)) % 0.36/0.56 (define @t15 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_1)) % 0.36/0.56 (define @t16 () (not @t15)) % 0.36/0.56 (define @t17 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_1)) % 0.36/0.56 (define @t18 () (not @t17)) % 0.36/0.56 (define @t19 () (or @t18 @t16 @t6)) % 0.36/0.56 (define @t20 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_1)) % 0.36/0.56 (define @t21 () (not @t20)) % 0.36/0.56 (define @t22 () (or @t18 @t21 @t6)) % 0.36/0.56 (define @t23 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_2)) % 0.36/0.56 (define @t24 () (not @t4)) % 0.36/0.56 (define @t25 () (not @t5)) % 0.36/0.56 (define @t26 () (or @t25 @t24 @t15 @t23)) % 0.36/0.56 (define @t27 () (tptp.product tptp.e_2 tptp.e_2 tptp.e_1)) % 0.36/0.56 (define @t28 () (not @t27)) % 0.36/0.56 (define @t29 () (not @t23)) % 0.36/0.56 (define @t30 () (or @t29 @t28 @t20)) % 0.36/0.56 (define @t31 () (tptp.product tptp.e_2 tptp.e_2 tptp.e_2)) % 0.36/0.56 (define @t32 () (not @t31)) % 0.36/0.56 (define @t33 () (or @t29 @t32 @t6)) % 0.36/0.56 (define @t34 () (or @t25 @t25 @t27 @t31)) % 0.36/0.56 (define @t35 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_2)) % 0.36/0.56 (define @t36 () (or @t24 @t24 @t17 @t35)) % 0.36/0.56 (define @t37 () (@list false true false)) % 0.36/0.56 (define @t38 () (not @t35)) % 0.36/0.56 (define @t39 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_2)) % 0.36/0.56 (define @t40 () (not @t39)) % 0.36/0.56 (define @t41 () (or @t40 @t38 @t7)) % 0.36/0.56 (define @t42 () (@list true false false)) % 0.36/0.56 (define @t43 () (or @t24 @t25 @t20 @t39)) % 0.36/0.56 (define @t44 () (@list false false true false)) % 0.36/0.56 (define @t45 () (or @t21 @t28 @t6)) % 0.36/0.56 (define @t46 () (or @t38 @t16 @t17)) % 0.36/0.56 (define @t47 () (not @t46)) % 0.36/0.56 (assume @p1 (tptp.next tptp.e_1 tptp.e_2)) % 0.36/0.56 (assume @p2 (tptp.greater tptp.e_2 tptp.e_1)) % 0.36/0.56 (assume @p3 (forall (@list @t3 @t2 @t1) (or (not (tptp.product @t3 tptp.e_1 @t2)) (not (tptp.next @t3 @t1)) (not (tptp.greater @t2 @t1))))) % 0.36/0.56 (assume @p4 @t4) % 0.36/0.56 (assume @p5 @t5) % 0.36/0.56 (assume @p6 (not @t6)) % 0.36/0.56 (assume @p7 (not @t7)) % 0.36/0.56 (assume @p8 (forall (@list @t3 @t2) (or (not (tptp.group_element @t3)) (not (tptp.group_element @t2)) (tptp.product @t3 @t2 tptp.e_1) (tptp.product @t3 @t2 tptp.e_2)))) % 0.36/0.56 (assume @p9 (forall (@list @t3 @t2 @t9 @t8) (or (not (tptp.product @t3 @t2 @t9)) (not (tptp.product @t3 @t2 @t8)) @t10))) % 0.36/0.56 (assume @p10 (forall (@list @t3 @t9 @t2 @t8) (or (not (tptp.product @t3 @t9 @t2)) (not (tptp.product @t3 @t8 @t2)) @t10))) % 0.36/0.56 (assume @p11 (forall (@list @t9 @t2 @t3 @t8) (or (not (tptp.product @t9 @t2 @t3)) (not (tptp.product @t8 @t2 @t3)) @t10))) % 0.36/0.56 (assume @p12 @t13) % 0.36/0.56 (step @p13 :rule instantiate :premises (@p8) :args ((@list tptp.e_2 tptp.e_1))) % 0.36/0.56 (step @p14 :rule instantiate :premises (@p10) :args ((@list tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_2))) % 0.36/0.56 (step @p15 :rule instantiate :premises (@p8) :args ((@list tptp.e_2 tptp.e_2))) % 0.36/0.56 (step @p16 :rule instantiate :premises (@p11) :args ((@list tptp.e_1 tptp.e_2 tptp.e_1 tptp.e_2))) % 0.36/0.56 (step @p17 :rule instantiate :premises (@p8) :args ((@list tptp.e_1 tptp.e_2))) % 0.36/0.56 (step @p18 :rule instantiate :premises (@p10) :args ((@list tptp.e_1 tptp.e_2 tptp.e_2 tptp.e_1))) % 0.36/0.56 (step @p19 :rule instantiate :premises (@p8) :args ((@list tptp.e_1 tptp.e_1))) % 0.36/0.56 (step @p20 :rule instantiate :premises (@p11) :args (@t14)) % 0.36/0.56 (step @p21 :rule cnf_or_pos :args (@t19)) % 0.36/0.56 (step @p22 :rule reordering :premises (@p21) :args ((or @t6 @t18 @t16 (not @t19)))) % 0.36/0.56 (step @p23 :rule instantiate :premises (@p10) :args (@t14)) % 0.36/0.56 (step @p24 :rule cnf_or_pos :args (@t22)) % 0.36/0.56 (step @p25 :rule reordering :premises (@p24) :args ((or @t6 @t18 @t21 (not @t22)))) % 0.36/0.56 (step @p26 :rule cnf_or_pos :args (@t26)) % 0.36/0.56 (step @p27 :rule reordering :premises (@p26) :args ((or @t24 @t25 @t15 @t23 (not @t26)))) % 0.36/0.56 (step @p28 :rule instantiate :premises (@p12) :args ((@list tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_1))) % 0.36/0.56 (step @p29 :rule cnf_or_pos :args (@t30)) % 0.36/0.56 (step @p30 :rule reordering :premises (@p29) :args ((or @t20 @t29 @t28 (not @t30)))) % 0.36/0.56 (step @p31 :rule cnf_or_pos :args (@t33)) % 0.36/0.56 (step @p32 :rule reordering :premises (@p31) :args ((or @t6 @t29 @t32 (not @t33)))) % 0.36/0.56 (step @p33 :rule cnf_or_pos :args (@t34)) % 0.36/0.56 (step @p34 :rule factoring :premises (@p33)) % 0.36/0.56 (step @p35 :rule reordering :premises (@p34) :args ((or @t25 @t27 @t31 (not @t34)))) % 0.36/0.56 (step @p36 :rule chain_m_resolution :premises (@p35 @p15 @p5 @p32 @p14 @p6 @p30 @p28 @p27 @p13 @p5 @p4 @p25 @p23 @p6 @p22 @p20 @p6) :args (@t18 (@list false false true false true true false false false false false true false true true false true) (@list @t34 @t5 @t31 @t33 @t6 @t27 @t30 @t23 @t26 @t5 @t4 @t20 @t22 @t6 @t15 @t19 @t6))) % 0.36/0.56 (step @p37 :rule cnf_or_pos :args (@t36)) % 0.36/0.56 (step @p38 :rule factoring :premises (@p37)) % 0.36/0.56 (step @p39 :rule reordering :premises (@p38) :args ((or @t24 @t17 @t35 (not @t36)))) % 0.36/0.56 (step @p40 :rule chain_m_resolution :premises (@p39 @p4 @p36 @p19) :args (@t35 @t37 (@list @t4 @t17 @t36))) % 0.36/0.56 (step @p41 :rule cnf_or_pos :args (@t41)) % 0.36/0.56 (step @p42 :rule reordering :premises (@p41) :args ((or @t7 @t38 @t40 (not @t41)))) % 0.36/0.56 (step @p43 :rule chain_m_resolution :premises (@p42 @p7 @p40 @p18) :args (@t40 @t42 (@list @t7 @t35 @t41))) % 0.36/0.56 (step @p44 :rule cnf_or_pos :args (@t43)) % 0.36/0.56 (step @p45 :rule reordering :premises (@p44) :args ((or @t24 @t25 @t20 @t39 (not @t43)))) % 0.36/0.56 (step @p46 :rule chain_m_resolution :premises (@p45 @p4 @p5 @p43 @p17) :args (@t20 @t44 (@list @t4 @t5 @t39 @t43))) % 0.36/0.56 (step @p47 :rule cnf_or_pos :args (@t45)) % 0.36/0.56 (step @p48 :rule reordering :premises (@p47) :args ((or @t6 @t21 @t28 (not @t45)))) % 0.36/0.56 (step @p49 :rule chain_m_resolution :premises (@p48 @p6 @p46 @p16) :args (@t28 @t42 (@list @t6 @t20 @t45))) % 0.36/0.56 (step @p50 :rule chain_m_resolution :premises (@p35 @p5 @p49 @p15) :args (@t31 @t37 (@list @t5 @t27 @t34))) % 0.36/0.56 (step @p51 :rule chain_m_resolution :premises (@p32 @p6 @p50 @p14) :args (@t29 @t42 (@list @t6 @t31 @t33))) % 0.36/0.56 (step @p52 :rule chain_m_resolution :premises (@p27 @p4 @p5 @p51 @p13) :args (@t15 @t44 (@list @t4 @t5 @t23 @t26))) % 0.36/0.56 (step @p53 :rule cnf_or_pos :args (@t46)) % 0.36/0.56 (step @p54 :rule reordering :premises (@p53) :args ((or @t17 @t38 @t16 @t47))) % 0.36/0.56 (step @p55 :rule chain_m_resolution :premises (@p54 @p36 @p40 @p52) :args (@t47 @t42 (@list @t17 @t35 @t15))) % 0.36/0.56 (assume-push @p62 @t13) % 0.36/0.56 (step @p57 :rule instantiate :premises (@p12) :args ((@list tptp.e_1 tptp.e_1 tptp.e_2 tptp.e_1))) % 0.36/0.56 (step-pop @p63 :rule scope :premises (@p57)) % 0.36/0.56 (step @p58 :rule process_scope :premises (@p63) :args (@t46)) % 0.36/0.56 (step @p60 :rule implies_elim :premises (@p58)) % 0.36/0.56 (step @p61 false :rule chain_m_resolution :premises (@p60 @p55 @p12) :args (false (@list true false) (@list @t46 @t13))) % 0.36/0.56 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------