%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP123-2.003 : 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 : n015.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 0.36s 0.58s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP123-2.003 : 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 % 0.17/0.34 % Computer : n015.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 00:51:34 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.58 % SZS status Unsatisfiable % 0.36/0.58 % SZS output start Proof % 0.36/0.58 ( % 0.36/0.58 (declare-sort $$unsorted 0) % 0.36/0.58 (declare-const tptp.group_element (-> $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.e_3 $$unsorted) % 0.36/0.58 (declare-const tptp.next (-> $$unsorted $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.e_1 $$unsorted) % 0.36/0.58 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.e_2 $$unsorted) % 0.36/0.58 (define @t1 () (@var "X1" $$unsorted)) % 0.36/0.58 (define @t2 () (@var "Y" $$unsorted)) % 0.36/0.58 (define @t3 () (@var "X" $$unsorted)) % 0.36/0.58 (define @t4 () (tptp.group_element tptp.e_1)) % 0.36/0.58 (define @t5 () (tptp.group_element tptp.e_2)) % 0.36/0.58 (define @t6 () (tptp.group_element tptp.e_3)) % 0.36/0.58 (define @t7 () (tptp.equalish tptp.e_1 tptp.e_2)) % 0.36/0.58 (define @t8 () (tptp.equalish tptp.e_1 tptp.e_3)) % 0.36/0.58 (define @t9 () (tptp.equalish tptp.e_2 tptp.e_1)) % 0.36/0.58 (define @t10 () (tptp.equalish tptp.e_2 tptp.e_3)) % 0.36/0.58 (define @t11 () (@var "Z" $$unsorted)) % 0.36/0.58 (define @t12 () (@var "W" $$unsorted)) % 0.36/0.58 (define @t13 () (tptp.equalish @t12 @t11)) % 0.36/0.58 (define @t14 () (forall (@list @t12 @t2 @t3 @t11) (or (not (tptp.product @t12 @t2 @t3)) (not (tptp.product @t11 @t2 @t3)) @t13))) % 0.36/0.58 (define @t15 () (@var "X2" $$unsorted)) % 0.36/0.58 (define @t16 () (@var "Y2" $$unsorted)) % 0.36/0.58 (define @t17 () (@var "Z2" $$unsorted)) % 0.36/0.58 (define @t18 () (not (tptp.product @t17 @t16 @t15))) % 0.36/0.58 (define @t19 () (@var "Y1" $$unsorted)) % 0.36/0.58 (define @t20 () (not (tptp.product @t17 @t19 @t1))) % 0.36/0.58 (define @t21 () (@var "Z1" $$unsorted)) % 0.36/0.58 (define @t22 () (not (tptp.product @t15 @t16 @t21))) % 0.36/0.58 (define @t23 () (not (tptp.product @t1 @t19 @t21))) % 0.36/0.58 (define @t24 () (@list @t1 @t19 @t21 @t15 @t16 @t17)) % 0.36/0.58 (define @t25 () (tptp.product tptp.e_3 tptp.e_3 tptp.e_3)) % 0.36/0.58 (define @t26 () (not @t25)) % 0.36/0.58 (define @t27 () (tptp.product tptp.e_3 tptp.e_2 tptp.e_3)) % 0.36/0.58 (define @t28 () (not @t27)) % 0.36/0.58 (define @t29 () (or @t28 @t26 @t10)) % 0.36/0.58 (define @t30 () (@list true false false)) % 0.36/0.58 (define @t31 () (tptp.product tptp.e_2 tptp.e_2 tptp.e_2)) % 0.36/0.58 (define @t32 () (not @t31)) % 0.36/0.58 (define @t33 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_2)) % 0.36/0.58 (define @t34 () (not @t33)) % 0.36/0.58 (define @t35 () (or @t34 @t32 @t7)) % 0.36/0.58 (define @t36 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_1)) % 0.36/0.58 (define @t37 () (not @t36)) % 0.36/0.58 (define @t38 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_1)) % 0.36/0.58 (define @t39 () (not @t38)) % 0.36/0.58 (define @t40 () (or @t39 @t37 @t9)) % 0.36/0.58 (define @t41 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_3)) % 0.36/0.58 (define @t42 () (not @t5)) % 0.36/0.58 (define @t43 () (not @t4)) % 0.36/0.58 (define @t44 () (or @t43 @t42 @t38 @t33 @t41)) % 0.36/0.58 (define @t45 () (@list false false true true false)) % 0.36/0.58 (define @t46 () (tptp.product tptp.e_3 tptp.e_2 tptp.e_1)) % 0.36/0.58 (define @t47 () (not @t46)) % 0.36/0.58 (define @t48 () (not @t41)) % 0.36/0.58 (define @t49 () (or @t48 @t26 @t47 @t26 @t8)) % 0.36/0.58 (define @t50 () (tptp.product tptp.e_3 tptp.e_2 tptp.e_2)) % 0.36/0.58 (define @t51 () (not @t6)) % 0.36/0.58 (define @t52 () (or @t51 @t42 @t46 @t50 @t27)) % 0.36/0.58 (define @t53 () (not @t50)) % 0.36/0.58 (define @t54 () (or @t32 @t53 @t10)) % 0.36/0.58 (define @t55 () (not @t54)) % 0.36/0.58 (assume @p1 (tptp.next tptp.e_1 tptp.e_2)) % 0.36/0.58 (assume @p2 (tptp.next tptp.e_2 tptp.e_3)) % 0.36/0.58 (assume @p3 (tptp.greater tptp.e_2 tptp.e_1)) % 0.36/0.58 (assume @p4 (tptp.greater tptp.e_3 tptp.e_1)) % 0.36/0.58 (assume @p5 (tptp.greater tptp.e_3 tptp.e_2)) % 0.36/0.58 (assume @p6 (forall (@list @t3 @t2 @t1) (or (not (tptp.product @t3 tptp.e_1 @t2)) (not (tptp.next @t3 @t1)) (not (tptp.greater @t2 @t1))))) % 0.36/0.58 (assume @p7 @t4) % 0.36/0.58 (assume @p8 @t5) % 0.36/0.58 (assume @p9 @t6) % 0.36/0.58 (assume @p10 (not @t7)) % 0.36/0.58 (assume @p11 (not @t8)) % 0.36/0.58 (assume @p12 (not @t9)) % 0.36/0.58 (assume @p13 (not @t10)) % 0.36/0.58 (assume @p14 (not (tptp.equalish tptp.e_3 tptp.e_1))) % 0.36/0.58 (assume @p15 (not (tptp.equalish tptp.e_3 tptp.e_2))) % 0.36/0.58 (assume @p16 (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) (tptp.product @t3 @t2 tptp.e_3)))) % 0.36/0.58 (assume @p17 (forall (@list @t3 @t2 @t12 @t11) (or (not (tptp.product @t3 @t2 @t12)) (not (tptp.product @t3 @t2 @t11)) @t13))) % 0.36/0.58 (assume @p18 (forall (@list @t3 @t12 @t2 @t11) (or (not (tptp.product @t3 @t12 @t2)) (not (tptp.product @t3 @t11 @t2)) @t13))) % 0.36/0.58 (assume @p19 @t14) % 0.36/0.58 (assume @p20 (forall (@list @t3) (tptp.product @t3 @t3 @t3))) % 0.36/0.58 (assume @p21 (forall @t24 (or @t23 @t22 @t20 @t18 (tptp.equalish @t1 @t15)))) % 0.36/0.58 (assume @p22 (forall @t24 (or @t23 @t22 @t20 @t18 (tptp.equalish @t19 @t16)))) % 0.36/0.58 (step @p23 :rule instantiate :premises (@p16) :args ((@list tptp.e_3 tptp.e_2))) % 0.36/0.58 (step @p24 :rule instantiate :premises (@p18) :args ((@list tptp.e_3 tptp.e_2 tptp.e_3 tptp.e_3))) % 0.36/0.58 (step @p25 :rule instantiate :premises (@p20) :args ((@list tptp.e_3))) % 0.36/0.58 (step @p26 :rule cnf_or_pos :args (@t29)) % 0.36/0.58 (step @p27 :rule reordering :premises (@p26) :args ((or @t10 @t26 @t28 (not @t29)))) % 0.36/0.58 (step @p28 :rule chain_m_resolution :premises (@p27 @p13 @p25 @p24) :args (@t28 @t30 (@list @t10 @t25 @t29))) % 0.36/0.58 (step @p29 :rule instantiate :premises (@p21) :args ((@list tptp.e_1 tptp.e_2 tptp.e_3 tptp.e_3 tptp.e_3 tptp.e_3))) % 0.36/0.58 (step @p30 :rule instantiate :premises (@p16) :args ((@list tptp.e_1 tptp.e_2))) % 0.36/0.58 (step @p31 :rule instantiate :premises (@p19) :args ((@list tptp.e_1 tptp.e_2 tptp.e_2 tptp.e_2))) % 0.36/0.58 (step @p32 :rule instantiate :premises (@p20) :args ((@list tptp.e_2))) % 0.36/0.58 (step @p33 :rule cnf_or_pos :args (@t35)) % 0.36/0.58 (step @p34 :rule reordering :premises (@p33) :args ((or @t7 @t34 @t32 (not @t35)))) % 0.36/0.58 (step @p35 :rule chain_m_resolution :premises (@p34 @p10 @p32 @p31) :args (@t34 @t30 (@list @t7 @t31 @t35))) % 0.36/0.58 (step @p36 :rule instantiate :premises (@p18) :args ((@list tptp.e_1 tptp.e_2 tptp.e_1 tptp.e_1))) % 0.36/0.58 (step @p37 :rule instantiate :premises (@p20) :args ((@list tptp.e_1))) % 0.36/0.58 (step @p38 :rule cnf_or_pos :args (@t40)) % 0.36/0.58 (step @p39 :rule reordering :premises (@p38) :args ((or @t9 @t37 @t39 (not @t40)))) % 0.36/0.58 (step @p40 :rule chain_m_resolution :premises (@p39 @p12 @p37 @p36) :args (@t39 @t30 (@list @t9 @t36 @t40))) % 0.36/0.58 (step @p41 :rule cnf_or_pos :args (@t44)) % 0.36/0.58 (step @p42 :rule reordering :premises (@p41) :args ((or @t43 @t42 @t38 @t33 @t41 (not @t44)))) % 0.36/0.58 (step @p43 :rule chain_m_resolution :premises (@p42 @p7 @p8 @p40 @p35 @p30) :args (@t41 @t45 (@list @t4 @t5 @t38 @t33 @t44))) % 0.36/0.58 (step @p44 :rule cnf_or_pos :args (@t49)) % 0.36/0.58 (step @p45 :rule factoring :premises (@p44)) % 0.36/0.58 (step @p46 :rule reordering :premises (@p45) :args ((or @t8 @t48 @t26 @t47 (not @t49)))) % 0.36/0.58 (step @p47 :rule chain_m_resolution :premises (@p46 @p11 @p43 @p25 @p29) :args (@t47 (@list true false false false) (@list @t8 @t41 @t25 @t49))) % 0.36/0.58 (step @p48 :rule cnf_or_pos :args (@t52)) % 0.36/0.58 (step @p49 :rule reordering :premises (@p48) :args ((or @t42 @t51 @t46 @t50 @t27 (not @t52)))) % 0.36/0.58 (step @p50 :rule chain_m_resolution :premises (@p49 @p8 @p9 @p47 @p28 @p23) :args (@t50 @t45 (@list @t5 @t6 @t46 @t27 @t52))) % 0.36/0.58 (step @p51 :rule cnf_or_pos :args (@t54)) % 0.36/0.58 (step @p52 :rule reordering :premises (@p51) :args ((or @t10 @t32 @t53 @t55))) % 0.36/0.58 (step @p53 :rule chain_m_resolution :premises (@p52 @p13 @p32 @p50) :args (@t55 @t30 (@list @t10 @t31 @t50))) % 0.36/0.58 (assume-push @p60 @t14) % 0.36/0.58 (step @p55 :rule instantiate :premises (@p19) :args ((@list tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_3))) % 0.36/0.58 (step-pop @p61 :rule scope :premises (@p55)) % 0.36/0.58 (step @p56 :rule process_scope :premises (@p61) :args (@t54)) % 0.36/0.58 (step @p58 :rule implies_elim :premises (@p56)) % 0.36/0.58 (step @p59 false :rule chain_m_resolution :premises (@p58 @p53 @p19) :args (false (@list true false) (@list @t54 @t14))) % 0.36/0.58 ) % 0.36/0.58 % SZS output end Proof % 0.36/0.58 % cvc5 exiting %------------------------------------------------------------------------------