%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP131-1.002 : 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 : n018.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 08:19:57 AM UTC 2026 % Result : Unsatisfiable 0.34s 0.58s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.14 % Problem : GRP131-1.002 : TPTP v9.2.1. Released v1.2.0. % 0.11/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.36 % Computer : n018.cluster.edu % 0.17/0.36 % Model : x86_64 x86_64 % 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.36 % Memory : 8042.1875MB % 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.36 % CPULimit : 300 % 0.17/0.36 % WCLimit : 300 % 0.17/0.36 % DateTime : Tue Jun 2 00:53:20 EDT 2026 % 0.17/0.36 % CPUTime : % 0.26/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/0.58 % SZS status Unsatisfiable % 0.34/0.58 % SZS output start Proof % 0.34/0.58 ( % 0.34/0.58 (declare-sort $$unsorted 0) % 0.34/0.58 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.58 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.34/0.58 (declare-const tptp.e_2 $$unsorted) % 0.34/0.58 (declare-const tptp.group_element (-> $$unsorted Bool)) % 0.34/0.58 (declare-const tptp.e_1 $$unsorted) % 0.34/0.58 (define @t1 () (tptp.group_element tptp.e_1)) % 0.34/0.58 (define @t2 () (tptp.group_element tptp.e_2)) % 0.34/0.58 (define @t3 () (tptp.equalish tptp.e_1 tptp.e_2)) % 0.34/0.58 (define @t4 () (tptp.equalish tptp.e_2 tptp.e_1)) % 0.34/0.58 (define @t5 () (@var "Y" $$unsorted)) % 0.34/0.58 (define @t6 () (@var "X" $$unsorted)) % 0.34/0.58 (define @t7 () (@var "Z" $$unsorted)) % 0.34/0.58 (define @t8 () (@var "W" $$unsorted)) % 0.34/0.58 (define @t9 () (tptp.equalish @t8 @t7)) % 0.34/0.58 (define @t10 () (forall (@list @t6 @t8 @t5 @t7) (or (not (tptp.product @t6 @t8 @t5)) (not (tptp.product @t6 @t7 @t5)) @t9))) % 0.34/0.58 (define @t11 () (@var "X2" $$unsorted)) % 0.34/0.58 (define @t12 () (@var "X1" $$unsorted)) % 0.34/0.58 (define @t13 () (@var "Y2" $$unsorted)) % 0.34/0.58 (define @t14 () (@var "Z2" $$unsorted)) % 0.34/0.58 (define @t15 () (not (tptp.product @t14 @t13 @t11))) % 0.34/0.58 (define @t16 () (@var "Y1" $$unsorted)) % 0.34/0.58 (define @t17 () (not (tptp.product @t14 @t16 @t12))) % 0.34/0.58 (define @t18 () (@var "Z1" $$unsorted)) % 0.34/0.58 (define @t19 () (not (tptp.product @t11 @t13 @t18))) % 0.34/0.58 (define @t20 () (not (tptp.product @t12 @t16 @t18))) % 0.34/0.58 (define @t21 () (@list @t12 @t16 @t18 @t11 @t13 @t14)) % 0.34/0.58 (define @t22 () (tptp.product tptp.e_2 tptp.e_2 tptp.e_2)) % 0.34/0.58 (define @t23 () (not @t22)) % 0.34/0.58 (define @t24 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_2)) % 0.34/0.58 (define @t25 () (not @t24)) % 0.34/0.58 (define @t26 () (or @t25 @t23 @t3)) % 0.34/0.58 (define @t27 () (@list tptp.e_1 tptp.e_1 tptp.e_2 tptp.e_2)) % 0.34/0.58 (define @t28 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_2)) % 0.34/0.58 (define @t29 () (not @t28)) % 0.34/0.58 (define @t30 () (or @t29 @t25 @t3)) % 0.34/0.58 (define @t31 () (tptp.product tptp.e_2 tptp.e_2 tptp.e_1)) % 0.34/0.58 (define @t32 () (not @t2)) % 0.34/0.58 (define @t33 () (or @t32 @t32 @t31 @t22)) % 0.34/0.58 (define @t34 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_1)) % 0.34/0.58 (define @t35 () (not @t1)) % 0.34/0.58 (define @t36 () (or @t35 @t35 @t34 @t28)) % 0.34/0.58 (define @t37 () (not @t31)) % 0.34/0.58 (define @t38 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_2)) % 0.34/0.58 (define @t39 () (not @t38)) % 0.34/0.58 (define @t40 () (or @t25 @t39 @t25 @t37 @t4)) % 0.34/0.58 (define @t41 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_1)) % 0.34/0.58 (define @t42 () (not @t41)) % 0.34/0.58 (define @t43 () (not @t34)) % 0.34/0.58 (define @t44 () (or @t43 @t42 @t3)) % 0.34/0.58 (define @t45 () (or @t35 @t32 @t41 @t38)) % 0.34/0.58 (define @t46 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_1)) % 0.34/0.58 (define @t47 () (or @t32 @t35 @t46 @t24)) % 0.34/0.58 (define @t48 () (@list false false true false)) % 0.34/0.58 (define @t49 () (not @t46)) % 0.34/0.58 (define @t50 () (or @t49 @t43 @t4)) % 0.34/0.58 (define @t51 () (@list true false false)) % 0.34/0.58 (define @t52 () (or @t49 @t42 @t29 @t42 @t4)) % 0.34/0.58 (define @t53 () (or @t29 @t39 @t3)) % 0.34/0.58 (define @t54 () (not @t53)) % 0.34/0.58 (assume @p1 @t1) % 0.34/0.58 (assume @p2 @t2) % 0.34/0.58 (assume @p3 (not @t3)) % 0.34/0.58 (assume @p4 (not @t4)) % 0.34/0.58 (assume @p5 (forall (@list @t6 @t5) (or (not (tptp.group_element @t6)) (not (tptp.group_element @t5)) (tptp.product @t6 @t5 tptp.e_1) (tptp.product @t6 @t5 tptp.e_2)))) % 0.34/0.58 (assume @p6 (forall (@list @t6 @t5 @t8 @t7) (or (not (tptp.product @t6 @t5 @t8)) (not (tptp.product @t6 @t5 @t7)) @t9))) % 0.34/0.58 (assume @p7 @t10) % 0.34/0.58 (assume @p8 (forall (@list @t8 @t5 @t6 @t7) (or (not (tptp.product @t8 @t5 @t6)) (not (tptp.product @t7 @t5 @t6)) @t9))) % 0.34/0.58 (assume @p9 (forall @t21 (or @t20 @t19 @t17 @t15 (tptp.equalish @t12 @t11)))) % 0.34/0.58 (assume @p10 (forall @t21 (or @t20 @t19 @t17 @t15 (tptp.equalish @t16 @t13)))) % 0.34/0.58 (step @p11 :rule instantiate :premises (@p5) :args ((@list tptp.e_1 tptp.e_2))) % 0.34/0.58 (step @p12 :rule instantiate :premises (@p9) :args ((@list tptp.e_2 tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2 tptp.e_1))) % 0.34/0.58 (step @p13 :rule instantiate :premises (@p5) :args ((@list tptp.e_2 tptp.e_1))) % 0.34/0.58 (step @p14 :rule instantiate :premises (@p7) :args ((@list tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_2))) % 0.34/0.58 (step @p15 :rule cnf_or_pos :args (@t26)) % 0.34/0.58 (step @p16 :rule reordering :premises (@p15) :args ((or @t3 @t25 @t23 (not @t26)))) % 0.34/0.58 (step @p17 :rule instantiate :premises (@p8) :args (@t27)) % 0.34/0.58 (step @p18 :rule cnf_or_pos :args (@t30)) % 0.34/0.58 (step @p19 :rule reordering :premises (@p18) :args ((or @t3 @t29 @t25 (not @t30)))) % 0.34/0.58 (step @p20 :rule instantiate :premises (@p5) :args ((@list tptp.e_2 tptp.e_2))) % 0.34/0.58 (step @p21 :rule cnf_or_pos :args (@t33)) % 0.34/0.58 (step @p22 :rule factoring :premises (@p21)) % 0.34/0.58 (step @p23 :rule reordering :premises (@p22) :args ((or @t32 @t31 @t22 (not @t33)))) % 0.34/0.58 (step @p24 :rule instantiate :premises (@p5) :args ((@list tptp.e_1 tptp.e_1))) % 0.34/0.58 (step @p25 :rule cnf_or_pos :args (@t36)) % 0.34/0.58 (step @p26 :rule factoring :premises (@p25)) % 0.34/0.58 (step @p27 :rule reordering :premises (@p26) :args ((or @t35 @t34 @t28 (not @t36)))) % 0.34/0.58 (step @p28 :rule instantiate :premises (@p9) :args ((@list tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_2))) % 0.34/0.58 (step @p29 :rule cnf_or_pos :args (@t40)) % 0.34/0.58 (step @p30 :rule factoring :premises (@p29)) % 0.34/0.58 (step @p31 :rule reordering :premises (@p30) :args ((or @t4 @t25 @t39 @t37 (not @t40)))) % 0.34/0.58 (step @p32 :rule instantiate :premises (@p7) :args ((@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2))) % 0.34/0.58 (step @p33 :rule cnf_or_pos :args (@t44)) % 0.34/0.58 (step @p34 :rule reordering :premises (@p33) :args ((or @t3 @t43 @t42 (not @t44)))) % 0.34/0.58 (step @p35 :rule cnf_or_pos :args (@t45)) % 0.34/0.58 (step @p36 :rule reordering :premises (@p35) :args ((or @t35 @t32 @t41 @t38 (not @t45)))) % 0.34/0.58 (step @p37 :rule chain_m_resolution :premises (@p36 @p11 @p2 @p1 @p34 @p32 @p3 @p31 @p28 @p4 @p27 @p24 @p1 @p23 @p20 @p2 @p19 @p17 @p3 @p16 @p14 @p3) :args (@t25 (@list false false false true false true true false true false false false false false false true false true true false true) (@list @t45 @t2 @t1 @t41 @t44 @t3 @t38 @t40 @t4 @t34 @t36 @t1 @t31 @t33 @t2 @t28 @t30 @t3 @t22 @t26 @t3))) % 0.34/0.58 (step @p38 :rule cnf_or_pos :args (@t47)) % 0.34/0.58 (step @p39 :rule reordering :premises (@p38) :args ((or @t35 @t32 @t46 @t24 (not @t47)))) % 0.34/0.58 (step @p40 :rule chain_m_resolution :premises (@p39 @p1 @p2 @p37 @p13) :args (@t46 @t48 (@list @t1 @t2 @t24 @t47))) % 0.34/0.58 (step @p41 :rule instantiate :premises (@p8) :args ((@list tptp.e_2 tptp.e_1 tptp.e_1 tptp.e_1))) % 0.34/0.58 (step @p42 :rule cnf_or_pos :args (@t50)) % 0.34/0.58 (step @p43 :rule reordering :premises (@p42) :args ((or @t4 @t43 @t49 (not @t50)))) % 0.34/0.58 (step @p44 :rule chain_m_resolution :premises (@p43 @p4 @p40 @p41) :args (@t43 @t51 (@list @t4 @t46 @t50))) % 0.34/0.58 (step @p45 :rule chain_m_resolution :premises (@p27 @p1 @p44 @p24) :args (@t28 (@list false true false) (@list @t1 @t34 @t36))) % 0.34/0.58 (step @p46 :rule cnf_or_pos :args (@t52)) % 0.34/0.58 (step @p47 :rule factoring :premises (@p46)) % 0.34/0.58 (step @p48 :rule reordering :premises (@p47) :args ((or @t4 @t29 @t42 @t49 (not @t52)))) % 0.34/0.58 (step @p49 :rule chain_m_resolution :premises (@p48 @p4 @p45 @p40 @p12) :args (@t42 (@list true false false false) (@list @t4 @t28 @t46 @t52))) % 0.34/0.58 (step @p50 :rule chain_m_resolution :premises (@p36 @p1 @p2 @p49 @p11) :args (@t38 @t48 (@list @t1 @t2 @t41 @t45))) % 0.34/0.58 (step @p51 :rule cnf_or_pos :args (@t53)) % 0.34/0.58 (step @p52 :rule reordering :premises (@p51) :args ((or @t3 @t29 @t39 @t54))) % 0.34/0.58 (step @p53 :rule chain_m_resolution :premises (@p52 @p3 @p45 @p50) :args (@t54 @t51 (@list @t3 @t28 @t38))) % 0.34/0.58 (assume-push @p60 @t10) % 0.34/0.58 (step @p55 :rule instantiate :premises (@p7) :args (@t27)) % 0.34/0.58 (step-pop @p61 :rule scope :premises (@p55)) % 0.34/0.58 (step @p56 :rule process_scope :premises (@p61) :args (@t53)) % 0.34/0.58 (step @p58 :rule implies_elim :premises (@p56)) % 0.34/0.58 (step @p59 false :rule chain_m_resolution :premises (@p58 @p53 @p7) :args (false (@list true false) (@list @t53 @t10))) % 0.34/0.58 ) % 0.34/0.58 % SZS output end Proof % 0.34/0.59 % cvc5 exiting %------------------------------------------------------------------------------