%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP123-4.003 : 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 : n014.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 08:19:49 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : GRP123-4.003 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n014.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 00:51:28 EDT 2026 % 0.15/0.33 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.57 % SZS status Unsatisfiable % 0.37/0.57 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.group_element (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.e_1 $$unsorted) % 0.37/0.58 (declare-const tptp.e_2 $$unsorted) % 0.37/0.58 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.e_3 $$unsorted) % 0.37/0.58 (define @t1 () (@var "Y" $$unsorted)) % 0.37/0.58 (define @t2 () (@var "X" $$unsorted)) % 0.37/0.58 (define @t3 () (not (tptp.group_element @t1))) % 0.37/0.58 (define @t4 () (not (tptp.group_element @t2))) % 0.37/0.58 (define @t5 () (@list @t2 @t1)) % 0.37/0.58 (define @t6 () (tptp.group_element tptp.e_1)) % 0.37/0.58 (define @t7 () (tptp.group_element tptp.e_2)) % 0.37/0.58 (define @t8 () (tptp.equalish tptp.e_1 tptp.e_2)) % 0.37/0.58 (define @t9 () (@var "Z" $$unsorted)) % 0.37/0.58 (define @t10 () (@var "W" $$unsorted)) % 0.37/0.58 (define @t11 () (tptp.equalish @t10 @t9)) % 0.37/0.58 (define @t12 () (forall (@list @t10 @t1 @t2 @t9) (or (not (tptp.product @t10 @t1 @t2)) (not (tptp.product @t9 @t1 @t2)) @t11))) % 0.37/0.58 (define @t13 () (@var "X2" $$unsorted)) % 0.37/0.58 (define @t14 () (@var "X1" $$unsorted)) % 0.37/0.58 (define @t15 () (@var "Y2" $$unsorted)) % 0.37/0.58 (define @t16 () (@var "Z2" $$unsorted)) % 0.37/0.58 (define @t17 () (not (tptp.product @t16 @t15 @t13))) % 0.37/0.58 (define @t18 () (@var "Y1" $$unsorted)) % 0.37/0.58 (define @t19 () (not (tptp.product @t16 @t18 @t14))) % 0.37/0.58 (define @t20 () (@var "Z1" $$unsorted)) % 0.37/0.58 (define @t21 () (not (tptp.product @t13 @t15 @t20))) % 0.37/0.58 (define @t22 () (not (tptp.product @t14 @t18 @t20))) % 0.37/0.58 (define @t23 () (@list @t14 @t18 @t20 @t13 @t15 @t16)) % 0.37/0.58 (define @t24 () (tptp.product tptp.e_2 tptp.e_2 tptp.e_2)) % 0.37/0.58 (define @t25 () (not @t24)) % 0.37/0.58 (define @t26 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_2)) % 0.37/0.58 (define @t27 () (not @t26)) % 0.37/0.58 (define @t28 () (or @t27 @t25 @t8)) % 0.37/0.58 (define @t29 () (@list true false false)) % 0.37/0.58 (define @t30 () (@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2)) % 0.37/0.58 (define @t31 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_2)) % 0.37/0.58 (define @t32 () (not @t31)) % 0.37/0.58 (define @t33 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_1)) % 0.37/0.58 (define @t34 () (not @t33)) % 0.37/0.58 (define @t35 () (or @t34 @t32 @t8)) % 0.37/0.58 (define @t36 () (tptp.product tptp.e_1 tptp.e_3 tptp.e_2)) % 0.37/0.58 (define @t37 () (not @t7)) % 0.37/0.58 (define @t38 () (not @t6)) % 0.37/0.58 (define @t39 () (or @t38 @t37 @t31 @t26 @t36)) % 0.37/0.58 (define @t40 () (@list false false true true false)) % 0.37/0.58 (define @t41 () (not @t36)) % 0.37/0.58 (define @t42 () (tptp.product tptp.e_2 tptp.e_3 tptp.e_1)) % 0.37/0.58 (define @t43 () (not @t42)) % 0.37/0.58 (define @t44 () (or @t34 @t43 @t34 @t41 @t8)) % 0.37/0.58 (define @t45 () (tptp.product tptp.e_2 tptp.e_2 tptp.e_1)) % 0.37/0.58 (define @t46 () (not @t45)) % 0.37/0.58 (define @t47 () (or @t46 @t25 @t8)) % 0.37/0.58 (define @t48 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_1)) % 0.37/0.58 (define @t49 () (or @t37 @t38 @t48 @t45 @t42)) % 0.37/0.58 (define @t50 () (not @t48)) % 0.37/0.58 (define @t51 () (or @t34 @t50 @t8)) % 0.37/0.58 (define @t52 () (not @t51)) % 0.37/0.58 (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)))) % 0.37/0.58 (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)))) % 0.37/0.58 (assume @p3 @t6) % 0.37/0.58 (assume @p4 @t7) % 0.37/0.58 (assume @p5 (tptp.group_element tptp.e_3)) % 0.37/0.58 (assume @p6 (not @t8)) % 0.37/0.58 (assume @p7 (not (tptp.equalish tptp.e_1 tptp.e_3))) % 0.37/0.58 (assume @p8 (not (tptp.equalish tptp.e_2 tptp.e_1))) % 0.37/0.58 (assume @p9 (not (tptp.equalish tptp.e_2 tptp.e_3))) % 0.37/0.58 (assume @p10 (not (tptp.equalish tptp.e_3 tptp.e_1))) % 0.37/0.58 (assume @p11 (not (tptp.equalish tptp.e_3 tptp.e_2))) % 0.37/0.58 (assume @p12 (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)))) % 0.37/0.58 (assume @p13 (forall (@list @t2 @t1 @t10 @t9) (or (not (tptp.product @t2 @t1 @t10)) (not (tptp.product @t2 @t1 @t9)) @t11))) % 0.37/0.58 (assume @p14 (forall (@list @t2 @t10 @t1 @t9) (or (not (tptp.product @t2 @t10 @t1)) (not (tptp.product @t2 @t9 @t1)) @t11))) % 0.37/0.58 (assume @p15 @t12) % 0.37/0.58 (assume @p16 (forall (@list @t2) (tptp.product @t2 @t2 @t2))) % 0.37/0.58 (assume @p17 (forall @t23 (or @t22 @t21 @t19 @t17 (tptp.equalish @t14 @t13)))) % 0.37/0.58 (assume @p18 (forall @t23 (or @t22 @t21 @t19 @t17 (tptp.equalish @t18 @t15)))) % 0.37/0.58 (step @p19 :rule instantiate :premises (@p2) :args ((@list tptp.e_2 tptp.e_1))) % 0.37/0.58 (step @p20 :rule instantiate :premises (@p17) :args ((@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2 tptp.e_3 tptp.e_1))) % 0.37/0.58 (step @p21 :rule instantiate :premises (@p2) :args ((@list tptp.e_1 tptp.e_2))) % 0.37/0.58 (step @p22 :rule instantiate :premises (@p15) :args ((@list tptp.e_1 tptp.e_2 tptp.e_2 tptp.e_2))) % 0.37/0.58 (step @p23 :rule instantiate :premises (@p16) :args ((@list tptp.e_2))) % 0.37/0.58 (step @p24 :rule cnf_or_pos :args (@t28)) % 0.37/0.58 (step @p25 :rule reordering :premises (@p24) :args ((or @t8 @t27 @t25 (not @t28)))) % 0.37/0.58 (step @p26 :rule chain_m_resolution :premises (@p25 @p6 @p23 @p22) :args (@t27 @t29 (@list @t8 @t24 @t28))) % 0.37/0.58 (step @p27 :rule instantiate :premises (@p13) :args (@t30)) % 0.37/0.58 (step @p28 :rule instantiate :premises (@p16) :args ((@list tptp.e_1))) % 0.37/0.58 (step @p29 :rule cnf_or_pos :args (@t35)) % 0.37/0.58 (step @p30 :rule reordering :premises (@p29) :args ((or @t8 @t34 @t32 (not @t35)))) % 0.37/0.58 (step @p31 :rule chain_m_resolution :premises (@p30 @p6 @p28 @p27) :args (@t32 @t29 (@list @t8 @t33 @t35))) % 0.37/0.58 (step @p32 :rule cnf_or_pos :args (@t39)) % 0.37/0.58 (step @p33 :rule reordering :premises (@p32) :args ((or @t38 @t37 @t31 @t26 @t36 (not @t39)))) % 0.37/0.58 (step @p34 :rule chain_m_resolution :premises (@p33 @p3 @p4 @p31 @p26 @p21) :args (@t36 @t40 (@list @t6 @t7 @t31 @t26 @t39))) % 0.37/0.58 (step @p35 :rule cnf_or_pos :args (@t44)) % 0.37/0.58 (step @p36 :rule factoring :premises (@p35)) % 0.37/0.58 (step @p37 :rule reordering :premises (@p36) :args ((or @t8 @t34 @t43 @t41 (not @t44)))) % 0.37/0.58 (step @p38 :rule chain_m_resolution :premises (@p37 @p6 @p28 @p34 @p20) :args (@t43 (@list true false false false) (@list @t8 @t33 @t36 @t44))) % 0.37/0.58 (step @p39 :rule instantiate :premises (@p13) :args ((@list tptp.e_2 tptp.e_2 tptp.e_1 tptp.e_2))) % 0.37/0.58 (step @p40 :rule cnf_or_pos :args (@t47)) % 0.37/0.58 (step @p41 :rule reordering :premises (@p40) :args ((or @t8 @t46 @t25 (not @t47)))) % 0.37/0.58 (step @p42 :rule chain_m_resolution :premises (@p41 @p6 @p23 @p39) :args (@t46 @t29 (@list @t8 @t24 @t47))) % 0.37/0.58 (step @p43 :rule cnf_or_pos :args (@t49)) % 0.37/0.58 (step @p44 :rule reordering :premises (@p43) :args ((or @t38 @t37 @t48 @t45 @t42 (not @t49)))) % 0.37/0.58 (step @p45 :rule chain_m_resolution :premises (@p44 @p3 @p4 @p42 @p38 @p19) :args (@t48 @t40 (@list @t6 @t7 @t45 @t42 @t49))) % 0.37/0.58 (step @p46 :rule cnf_or_pos :args (@t51)) % 0.37/0.58 (step @p47 :rule reordering :premises (@p46) :args ((or @t8 @t34 @t50 @t52))) % 0.37/0.58 (step @p48 :rule chain_m_resolution :premises (@p47 @p6 @p28 @p45) :args (@t52 @t29 (@list @t8 @t33 @t48))) % 0.37/0.58 (assume-push @p55 @t12) % 0.37/0.58 (step @p50 :rule instantiate :premises (@p15) :args (@t30)) % 0.37/0.58 (step-pop @p56 :rule scope :premises (@p50)) % 0.37/0.58 (step @p51 :rule process_scope :premises (@p56) :args (@t51)) % 0.37/0.58 (step @p53 :rule implies_elim :premises (@p51)) % 0.37/0.58 (step @p54 false :rule chain_m_resolution :premises (@p53 @p48 @p15) :args (false (@list true false) (@list @t51 @t12))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------