%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP125-4.003 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n005.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 0.36s 0.58s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : GRP125-4.003 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n005.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 00:52:33 EDT 2026 % 0.17/0.35 % CPUTime : % 0.26/0.50 %----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... % 0.36/0.58 % SZS status Unsatisfiable % 0.36/0.58 % SZS output start Proof % 0.36/0.58 ( % 0.36/0.58 (declare-sort $$unsorted 0) % 0.36/0.58 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.group_element (-> $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.e_1 $$unsorted) % 0.36/0.58 (declare-const tptp.e_2 $$unsorted) % 0.36/0.58 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.e_3 $$unsorted) % 0.36/0.58 (define @t1 () (@var "Y" $$unsorted)) % 0.36/0.58 (define @t2 () (@var "X" $$unsorted)) % 0.36/0.58 (define @t3 () (not (tptp.group_element @t1))) % 0.36/0.58 (define @t4 () (not (tptp.group_element @t2))) % 0.36/0.58 (define @t5 () (@list @t2 @t1)) % 0.36/0.58 (define @t6 () (@var "Z2" $$unsorted)) % 0.36/0.58 (define @t7 () (tptp.product @t1 @t2 @t6)) % 0.36/0.58 (define @t8 () (not @t7)) % 0.36/0.58 (define @t9 () (@var "Z1" $$unsorted)) % 0.36/0.58 (define @t10 () (tptp.product @t9 @t6 @t2)) % 0.36/0.58 (define @t11 () (not @t10)) % 0.36/0.58 (define @t12 () (tptp.product @t2 @t1 @t9)) % 0.36/0.58 (define @t13 () (@list @t2 @t1 @t9 @t6)) % 0.36/0.58 (define @t14 () (not @t12)) % 0.36/0.58 (define @t15 () (tptp.group_element tptp.e_1)) % 0.36/0.58 (define @t16 () (tptp.group_element tptp.e_2)) % 0.36/0.58 (define @t17 () (tptp.group_element tptp.e_3)) % 0.36/0.58 (define @t18 () (tptp.equalish tptp.e_1 tptp.e_2)) % 0.36/0.58 (define @t19 () (tptp.equalish tptp.e_1 tptp.e_3)) % 0.36/0.58 (define @t20 () (tptp.equalish tptp.e_2 tptp.e_1)) % 0.36/0.58 (define @t21 () (@var "Z" $$unsorted)) % 0.36/0.58 (define @t22 () (@var "W" $$unsorted)) % 0.36/0.58 (define @t23 () (tptp.equalish @t22 @t21)) % 0.36/0.58 (define @t24 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_1)) % 0.36/0.58 (define @t25 () (not @t24)) % 0.36/0.58 (define @t26 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_1)) % 0.36/0.58 (define @t27 () (not @t26)) % 0.36/0.58 (define @t28 () (or @t27 @t25 @t20)) % 0.36/0.58 (define @t29 () (@list true false false)) % 0.36/0.58 (define @t30 () (@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_3)) % 0.36/0.58 (define @t31 () (tptp.product tptp.e_1 tptp.e_3 tptp.e_1)) % 0.36/0.58 (define @t32 () (not @t31)) % 0.36/0.58 (define @t33 () (or @t25 @t32 @t19)) % 0.36/0.58 (define @t34 () (tptp.product tptp.e_3 tptp.e_1 tptp.e_3)) % 0.36/0.58 (define @t35 () (not @t34)) % 0.36/0.58 (define @t36 () (or @t31 @t35 @t35)) % 0.36/0.58 (define @t37 () (@list true false)) % 0.36/0.58 (define @t38 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_3)) % 0.36/0.58 (define @t39 () (not @t38)) % 0.36/0.58 (define @t40 () (or @t25 @t39 @t19)) % 0.36/0.58 (define @t41 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_3)) % 0.36/0.58 (define @t42 () (not @t17)) % 0.36/0.58 (define @t43 () (not @t15)) % 0.36/0.58 (define @t44 () (or @t43 @t42 @t38 @t41 @t34)) % 0.36/0.58 (define @t45 () (@list false false true true false)) % 0.36/0.58 (define @t46 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_2)) % 0.36/0.58 (define @t47 () (not @t46)) % 0.36/0.58 (define @t48 () (or @t26 @t47 @t47)) % 0.36/0.58 (define @t49 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_2)) % 0.36/0.58 (define @t50 () (not @t49)) % 0.36/0.58 (define @t51 () (or @t25 @t50 @t18)) % 0.36/0.58 (define @t52 () (tptp.product tptp.e_3 tptp.e_1 tptp.e_2)) % 0.36/0.58 (define @t53 () (not @t16)) % 0.36/0.58 (define @t54 () (or @t43 @t53 @t49 @t46 @t52)) % 0.36/0.58 (define @t55 () (not @t41)) % 0.36/0.58 (define @t56 () (not @t52)) % 0.36/0.58 (define @t57 () (or @t26 @t56 @t55)) % 0.36/0.58 (assume @p1 (forall @t5 (or @t4 @t3 (tptp.product tptp.e_1 @t2 @t1) (tptp.product tptp.e_2 @t2 @t1) (tptp.product tptp.e_3 @t2 @t1)))) % 0.36/0.58 (assume @p2 (forall @t5 (or @t4 @t3 (tptp.product @t2 tptp.e_1 @t1) (tptp.product @t2 tptp.e_2 @t1) (tptp.product @t2 tptp.e_3 @t1)))) % 0.36/0.58 (assume @p3 (forall @t13 (or @t12 @t11 @t8))) % 0.36/0.58 (assume @p4 (forall (@list @t1 @t2 @t6 @t9) (or @t7 @t11 @t14))) % 0.36/0.58 (assume @p5 @t15) % 0.36/0.59 (assume @p6 @t16) % 0.36/0.59 (assume @p7 @t17) % 0.36/0.59 (assume @p8 (not @t18)) % 0.36/0.59 (assume @p9 (not @t19)) % 0.36/0.59 (assume @p10 (not @t20)) % 0.36/0.59 (assume @p11 (not (tptp.equalish tptp.e_2 tptp.e_3))) % 0.36/0.59 (assume @p12 (not (tptp.equalish tptp.e_3 tptp.e_1))) % 0.36/0.59 (assume @p13 (not (tptp.equalish tptp.e_3 tptp.e_2))) % 0.36/0.59 (assume @p14 (forall @t5 (or @t4 @t3 (tptp.product @t2 @t1 tptp.e_1) (tptp.product @t2 @t1 tptp.e_2) (tptp.product @t2 @t1 tptp.e_3)))) % 0.36/0.59 (assume @p15 (forall (@list @t2 @t1 @t22 @t21) (or (not (tptp.product @t2 @t1 @t22)) (not (tptp.product @t2 @t1 @t21)) @t23))) % 0.36/0.59 (assume @p16 (forall (@list @t2 @t22 @t1 @t21) (or (not (tptp.product @t2 @t22 @t1)) (not (tptp.product @t2 @t21 @t1)) @t23))) % 0.36/0.59 (assume @p17 (forall (@list @t22 @t1 @t2 @t21) (or (not (tptp.product @t22 @t1 @t2)) (not (tptp.product @t21 @t1 @t2)) @t23))) % 0.36/0.59 (assume @p18 (forall (@list @t2) (tptp.product @t2 @t2 @t2))) % 0.36/0.59 (assume @p19 (forall @t13 (or @t14 @t8 @t10))) % 0.36/0.59 (step @p20 :rule instantiate :premises (@p16) :args ((@list tptp.e_1 tptp.e_2 tptp.e_1 tptp.e_1))) % 0.36/0.59 (step @p21 :rule instantiate :premises (@p18) :args ((@list tptp.e_1))) % 0.36/0.59 (step @p22 :rule cnf_or_pos :args (@t28)) % 0.36/0.59 (step @p23 :rule reordering :premises (@p22) :args ((or @t20 @t25 @t27 (not @t28)))) % 0.36/0.59 (step @p24 :rule chain_m_resolution :premises (@p23 @p10 @p21 @p20) :args (@t27 @t29 (@list @t20 @t24 @t28))) % 0.36/0.59 (step @p25 :rule instantiate :premises (@p4) :args ((@list tptp.e_1 tptp.e_2 tptp.e_1 tptp.e_3))) % 0.36/0.59 (step @p26 :rule instantiate :premises (@p1) :args ((@list tptp.e_1 tptp.e_3))) % 0.36/0.59 (step @p27 :rule instantiate :premises (@p4) :args ((@list tptp.e_1 tptp.e_3 tptp.e_1 tptp.e_3))) % 0.36/0.59 (step @p28 :rule instantiate :premises (@p16) :args (@t30)) % 0.36/0.59 (step @p29 :rule cnf_or_pos :args (@t33)) % 0.36/0.59 (step @p30 :rule reordering :premises (@p29) :args ((or @t19 @t25 @t32 (not @t33)))) % 0.36/0.59 (step @p31 :rule chain_m_resolution :premises (@p30 @p9 @p21 @p28) :args (@t32 @t29 (@list @t19 @t24 @t33))) % 0.36/0.59 (step @p32 :rule cnf_or_pos :args (@t36)) % 0.36/0.59 (step @p33 :rule factoring :premises (@p32)) % 0.36/0.59 (step @p34 :rule reordering :premises (@p33) :args ((or @t31 @t35 (not @t36)))) % 0.36/0.59 (step @p35 :rule chain_m_resolution :premises (@p34 @p31 @p27) :args (@t35 @t37 (@list @t31 @t36))) % 0.36/0.59 (step @p36 :rule instantiate :premises (@p15) :args (@t30)) % 0.36/0.59 (step @p37 :rule cnf_or_pos :args (@t40)) % 0.36/0.59 (step @p38 :rule reordering :premises (@p37) :args ((or @t19 @t25 @t39 (not @t40)))) % 0.36/0.59 (step @p39 :rule chain_m_resolution :premises (@p38 @p9 @p21 @p36) :args (@t39 @t29 (@list @t19 @t24 @t40))) % 0.36/0.59 (step @p40 :rule cnf_or_pos :args (@t44)) % 0.36/0.59 (step @p41 :rule reordering :premises (@p40) :args ((or @t43 @t42 @t38 @t41 @t34 (not @t44)))) % 0.36/0.59 (step @p42 :rule chain_m_resolution :premises (@p41 @p5 @p7 @p39 @p35 @p26) :args (@t41 @t45 (@list @t15 @t17 @t38 @t34 @t44))) % 0.36/0.59 (step @p43 :rule instantiate :premises (@p1) :args ((@list tptp.e_1 tptp.e_2))) % 0.36/0.59 (step @p44 :rule instantiate :premises (@p4) :args ((@list tptp.e_1 tptp.e_2 tptp.e_1 tptp.e_2))) % 0.36/0.59 (step @p45 :rule cnf_or_pos :args (@t48)) % 0.36/0.59 (step @p46 :rule factoring :premises (@p45)) % 0.36/0.59 (step @p47 :rule reordering :premises (@p46) :args ((or @t26 @t47 (not @t48)))) % 0.36/0.59 (step @p48 :rule chain_m_resolution :premises (@p47 @p24 @p44) :args (@t47 @t37 (@list @t26 @t48))) % 0.36/0.59 (step @p49 :rule instantiate :premises (@p15) :args ((@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2))) % 0.36/0.59 (step @p50 :rule cnf_or_pos :args (@t51)) % 0.36/0.59 (step @p51 :rule reordering :premises (@p50) :args ((or @t18 @t25 @t50 (not @t51)))) % 0.36/0.59 (step @p52 :rule chain_m_resolution :premises (@p51 @p8 @p21 @p49) :args (@t50 @t29 (@list @t18 @t24 @t51))) % 0.36/0.59 (step @p53 :rule cnf_or_pos :args (@t54)) % 0.36/0.59 (step @p54 :rule reordering :premises (@p53) :args ((or @t43 @t53 @t49 @t46 @t52 (not @t54)))) % 0.36/0.59 (step @p55 :rule chain_m_resolution :premises (@p54 @p5 @p6 @p52 @p48 @p43) :args (@t52 @t45 (@list @t15 @t16 @t49 @t46 @t54))) % 0.36/0.59 (step @p56 :rule cnf_or_pos :args (@t57)) % 0.36/0.59 (step @p57 :rule reordering :premises (@p56) :args ((or @t26 @t56 @t55 (not @t57)))) % 0.36/0.59 (step @p58 false :rule chain_m_resolution :premises (@p57 @p55 @p42 @p25 @p24) :args (false (@list false false false true) (@list @t52 @t41 @t57 @t26))) % 0.36/0.59 ) % 0.36/0.59 % SZS output end Proof % 0.36/0.59 % cvc5 exiting %------------------------------------------------------------------------------