%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP125-1.003 : 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 08:19:52 AM UTC 2026 % Result : Unsatisfiable 0.30s 0.55s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP125-1.003 : TPTP v9.2.1. Released v1.2.0. % 0.00/0.13 % 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 00:52:49 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.55 % SZS status Unsatisfiable % 0.30/0.55 % SZS output start Proof % 0.37/0.55 ( % 0.37/0.55 (declare-sort $$unsorted 0) % 0.37/0.55 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.55 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.37/0.55 (declare-const tptp.e_2 $$unsorted) % 0.37/0.55 (declare-const tptp.group_element (-> $$unsorted Bool)) % 0.37/0.55 (declare-const tptp.e_3 $$unsorted) % 0.37/0.55 (declare-const tptp.e_1 $$unsorted) % 0.37/0.55 (define @t1 () (tptp.group_element tptp.e_1)) % 0.37/0.55 (define @t2 () (tptp.group_element tptp.e_2)) % 0.37/0.55 (define @t3 () (tptp.group_element tptp.e_3)) % 0.37/0.55 (define @t4 () (tptp.equalish tptp.e_1 tptp.e_2)) % 0.37/0.55 (define @t5 () (tptp.equalish tptp.e_1 tptp.e_3)) % 0.37/0.55 (define @t6 () (tptp.equalish tptp.e_2 tptp.e_3)) % 0.37/0.55 (define @t7 () (@var "Y" $$unsorted)) % 0.37/0.55 (define @t8 () (@var "X" $$unsorted)) % 0.37/0.55 (define @t9 () (@var "Z" $$unsorted)) % 0.37/0.55 (define @t10 () (@var "W" $$unsorted)) % 0.37/0.55 (define @t11 () (tptp.equalish @t10 @t9)) % 0.37/0.55 (define @t12 () (@var "Z2" $$unsorted)) % 0.37/0.55 (define @t13 () (@var "Z1" $$unsorted)) % 0.37/0.55 (define @t14 () (tptp.product tptp.e_2 tptp.e_2 tptp.e_2)) % 0.37/0.55 (define @t15 () (not @t14)) % 0.37/0.55 (define @t16 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_2)) % 0.37/0.55 (define @t17 () (not @t16)) % 0.37/0.55 (define @t18 () (or @t17 @t15 @t4)) % 0.37/0.55 (define @t19 () (@list true false false)) % 0.37/0.55 (define @t20 () (@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2)) % 0.37/0.55 (define @t21 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_1)) % 0.37/0.55 (define @t22 () (not @t21)) % 0.37/0.55 (define @t23 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_1)) % 0.37/0.55 (define @t24 () (not @t23)) % 0.37/0.55 (define @t25 () (or @t24 @t22 @t4)) % 0.37/0.55 (define @t26 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_3)) % 0.37/0.55 (define @t27 () (not @t1)) % 0.37/0.55 (define @t28 () (not @t2)) % 0.37/0.55 (define @t29 () (or @t28 @t27 @t21 @t16 @t26)) % 0.37/0.55 (define @t30 () (@list false false true true false)) % 0.37/0.55 (define @t31 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_2)) % 0.37/0.55 (define @t32 () (not @t31)) % 0.37/0.55 (define @t33 () (or @t32 @t15 @t4)) % 0.37/0.55 (define @t34 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_1)) % 0.37/0.55 (define @t35 () (not @t34)) % 0.37/0.55 (define @t36 () (or @t24 @t35 @t4)) % 0.37/0.55 (define @t37 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_3)) % 0.37/0.55 (define @t38 () (or @t27 @t28 @t34 @t31 @t37)) % 0.37/0.55 (define @t39 () (tptp.product tptp.e_3 tptp.e_3 tptp.e_1)) % 0.37/0.55 (define @t40 () (not @t26)) % 0.37/0.55 (define @t41 () (not @t37)) % 0.37/0.55 (define @t42 () (or @t41 @t40 @t39)) % 0.37/0.55 (define @t43 () (tptp.product tptp.e_2 tptp.e_3 tptp.e_3)) % 0.37/0.55 (define @t44 () (not @t43)) % 0.37/0.55 (define @t45 () (or @t40 @t44 @t5)) % 0.37/0.55 (define @t46 () (tptp.product tptp.e_2 tptp.e_3 tptp.e_2)) % 0.37/0.55 (define @t47 () (not @t46)) % 0.37/0.55 (define @t48 () (or @t15 @t47 @t6)) % 0.37/0.55 (define @t49 () (tptp.product tptp.e_2 tptp.e_3 tptp.e_1)) % 0.37/0.55 (define @t50 () (not @t3)) % 0.37/0.55 (define @t51 () (or @t28 @t50 @t49 @t46 @t43)) % 0.37/0.55 (define @t52 () (not @t39)) % 0.37/0.55 (define @t53 () (not @t49)) % 0.37/0.55 (define @t54 () (or @t53 @t52 @t6)) % 0.37/0.55 (assume @p1 @t1) % 0.37/0.55 (assume @p2 @t2) % 0.37/0.55 (assume @p3 @t3) % 0.37/0.55 (assume @p4 (not @t4)) % 0.37/0.55 (assume @p5 (not @t5)) % 0.37/0.55 (assume @p6 (not (tptp.equalish tptp.e_2 tptp.e_1))) % 0.37/0.55 (assume @p7 (not @t6)) % 0.37/0.55 (assume @p8 (not (tptp.equalish tptp.e_3 tptp.e_1))) % 0.37/0.55 (assume @p9 (not (tptp.equalish tptp.e_3 tptp.e_2))) % 0.37/0.55 (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)))) % 0.37/0.55 (assume @p11 (forall (@list @t8 @t7 @t10 @t9) (or (not (tptp.product @t8 @t7 @t10)) (not (tptp.product @t8 @t7 @t9)) @t11))) % 0.37/0.55 (assume @p12 (forall (@list @t8 @t10 @t7 @t9) (or (not (tptp.product @t8 @t10 @t7)) (not (tptp.product @t8 @t9 @t7)) @t11))) % 0.37/0.55 (assume @p13 (forall (@list @t10 @t7 @t8 @t9) (or (not (tptp.product @t10 @t7 @t8)) (not (tptp.product @t9 @t7 @t8)) @t11))) % 0.37/0.55 (assume @p14 (forall (@list @t8) (tptp.product @t8 @t8 @t8))) % 0.37/0.55 (assume @p15 (forall (@list @t8 @t7 @t13 @t12) (or (not (tptp.product @t8 @t7 @t13)) (not (tptp.product @t7 @t8 @t12)) (tptp.product @t13 @t12 @t8)))) % 0.37/0.55 (step @p16 :rule instantiate :premises (@p13) :args ((@list tptp.e_2 tptp.e_3 tptp.e_1 tptp.e_3))) % 0.37/0.55 (step @p17 :rule instantiate :premises (@p15) :args ((@list tptp.e_1 tptp.e_2 tptp.e_3 tptp.e_3))) % 0.37/0.55 (step @p18 :rule instantiate :premises (@p10) :args ((@list tptp.e_2 tptp.e_1))) % 0.37/0.55 (step @p19 :rule instantiate :premises (@p12) :args ((@list tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_2))) % 0.37/0.55 (step @p20 :rule instantiate :premises (@p14) :args ((@list tptp.e_2))) % 0.37/0.55 (step @p21 :rule cnf_or_pos :args (@t18)) % 0.37/0.55 (step @p22 :rule reordering :premises (@p21) :args ((or @t4 @t15 @t17 (not @t18)))) % 0.37/0.55 (step @p23 :rule chain_m_resolution :premises (@p22 @p4 @p20 @p19) :args (@t17 @t19 (@list @t4 @t14 @t18))) % 0.37/0.55 (step @p24 :rule instantiate :premises (@p13) :args (@t20)) % 0.37/0.55 (step @p25 :rule instantiate :premises (@p14) :args ((@list tptp.e_1))) % 0.37/0.55 (step @p26 :rule cnf_or_pos :args (@t25)) % 0.37/0.55 (step @p27 :rule reordering :premises (@p26) :args ((or @t4 @t24 @t22 (not @t25)))) % 0.37/0.55 (step @p28 :rule chain_m_resolution :premises (@p27 @p4 @p25 @p24) :args (@t22 @t19 (@list @t4 @t23 @t25))) % 0.37/0.55 (step @p29 :rule cnf_or_pos :args (@t29)) % 0.37/0.55 (step @p30 :rule reordering :premises (@p29) :args ((or @t27 @t28 @t21 @t16 @t26 (not @t29)))) % 0.37/0.55 (step @p31 :rule chain_m_resolution :premises (@p30 @p1 @p2 @p28 @p23 @p18) :args (@t26 @t30 (@list @t1 @t2 @t21 @t16 @t29))) % 0.37/0.55 (step @p32 :rule instantiate :premises (@p10) :args ((@list tptp.e_1 tptp.e_2))) % 0.37/0.55 (step @p33 :rule instantiate :premises (@p13) :args ((@list tptp.e_1 tptp.e_2 tptp.e_2 tptp.e_2))) % 0.37/0.55 (step @p34 :rule cnf_or_pos :args (@t33)) % 0.37/0.55 (step @p35 :rule reordering :premises (@p34) :args ((or @t4 @t32 @t15 (not @t33)))) % 0.37/0.55 (step @p36 :rule chain_m_resolution :premises (@p35 @p4 @p20 @p33) :args (@t32 @t19 (@list @t4 @t14 @t33))) % 0.37/0.55 (step @p37 :rule instantiate :premises (@p12) :args (@t20)) % 0.37/0.55 (step @p38 :rule cnf_or_pos :args (@t36)) % 0.37/0.55 (step @p39 :rule reordering :premises (@p38) :args ((or @t4 @t24 @t35 (not @t36)))) % 0.37/0.55 (step @p40 :rule chain_m_resolution :premises (@p39 @p4 @p25 @p37) :args (@t35 @t19 (@list @t4 @t23 @t36))) % 0.37/0.55 (step @p41 :rule cnf_or_pos :args (@t38)) % 0.37/0.55 (step @p42 :rule reordering :premises (@p41) :args ((or @t27 @t28 @t34 @t31 @t37 (not @t38)))) % 0.37/0.55 (step @p43 :rule chain_m_resolution :premises (@p42 @p1 @p2 @p40 @p36 @p32) :args (@t37 @t30 (@list @t1 @t2 @t34 @t31 @t38))) % 0.37/0.55 (step @p44 :rule cnf_or_pos :args (@t42)) % 0.37/0.55 (step @p45 :rule reordering :premises (@p44) :args ((or @t41 @t40 @t39 (not @t42)))) % 0.37/0.55 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p31 @p17) :args (@t39 (@list false false false) (@list @t37 @t26 @t42))) % 0.37/0.55 (step @p47 :rule instantiate :premises (@p10) :args ((@list tptp.e_2 tptp.e_3))) % 0.37/0.55 (step @p48 :rule instantiate :premises (@p12) :args ((@list tptp.e_2 tptp.e_1 tptp.e_3 tptp.e_3))) % 0.37/0.55 (step @p49 :rule cnf_or_pos :args (@t45)) % 0.37/0.55 (step @p50 :rule reordering :premises (@p49) :args ((or @t5 @t40 @t44 (not @t45)))) % 0.37/0.55 (step @p51 :rule chain_m_resolution :premises (@p50 @p5 @p31 @p48) :args (@t44 @t19 (@list @t5 @t26 @t45))) % 0.37/0.55 (step @p52 :rule instantiate :premises (@p12) :args ((@list tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_3))) % 0.37/0.55 (step @p53 :rule cnf_or_pos :args (@t48)) % 0.37/0.55 (step @p54 :rule reordering :premises (@p53) :args ((or @t6 @t15 @t47 (not @t48)))) % 0.37/0.55 (step @p55 :rule chain_m_resolution :premises (@p54 @p7 @p20 @p52) :args (@t47 @t19 (@list @t6 @t14 @t48))) % 0.37/0.55 (step @p56 :rule cnf_or_pos :args (@t51)) % 0.37/0.55 (step @p57 :rule reordering :premises (@p56) :args ((or @t28 @t50 @t46 @t49 @t43 (not @t51)))) % 0.37/0.55 (step @p58 :rule chain_m_resolution :premises (@p57 @p2 @p3 @p55 @p51 @p47) :args (@t49 @t30 (@list @t2 @t3 @t46 @t43 @t51))) % 0.37/0.55 (step @p59 :rule cnf_or_pos :args (@t54)) % 0.37/0.55 (step @p60 :rule reordering :premises (@p59) :args ((or @t6 @t53 @t52 (not @t54)))) % 0.37/0.55 (step @p61 false :rule chain_m_resolution :premises (@p60 @p58 @p46 @p16 @p7) :args (false (@list false false false true) (@list @t49 @t39 @t54 @t6))) % 0.37/0.55 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------