%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP131-2.002 : TPTP v9.2.1. Released v1.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n021.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 0.36s 0.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP131-2.002 : TPTP v9.2.1. Released v1.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 00:54:50 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.57 % SZS status Unsatisfiable % 0.36/0.57 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort $$unsorted 0) % 0.36/0.57 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.group_element (-> $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.next (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.e_1 $$unsorted) % 0.36/0.57 (declare-const tptp.e_2 $$unsorted) % 0.36/0.57 (define @t1 () (@var "X1" $$unsorted)) % 0.36/0.57 (define @t2 () (@var "Y" $$unsorted)) % 0.36/0.57 (define @t3 () (@var "X" $$unsorted)) % 0.36/0.57 (define @t4 () (tptp.group_element tptp.e_1)) % 0.36/0.57 (define @t5 () (tptp.group_element tptp.e_2)) % 0.36/0.57 (define @t6 () (tptp.equalish tptp.e_1 tptp.e_2)) % 0.36/0.57 (define @t7 () (tptp.equalish tptp.e_2 tptp.e_1)) % 0.36/0.57 (define @t8 () (@var "Z" $$unsorted)) % 0.36/0.57 (define @t9 () (@var "W" $$unsorted)) % 0.36/0.57 (define @t10 () (tptp.equalish @t9 @t8)) % 0.36/0.57 (define @t11 () (@var "X2" $$unsorted)) % 0.36/0.57 (define @t12 () (@var "Y2" $$unsorted)) % 0.36/0.57 (define @t13 () (@var "Z2" $$unsorted)) % 0.36/0.57 (define @t14 () (not (tptp.product @t13 @t12 @t11))) % 0.36/0.57 (define @t15 () (@var "Y1" $$unsorted)) % 0.36/0.57 (define @t16 () (not (tptp.product @t13 @t15 @t1))) % 0.36/0.57 (define @t17 () (@var "Z1" $$unsorted)) % 0.36/0.57 (define @t18 () (not (tptp.product @t11 @t12 @t17))) % 0.36/0.57 (define @t19 () (not (tptp.product @t1 @t15 @t17))) % 0.36/0.57 (define @t20 () (@list @t1 @t15 @t17 @t11 @t12 @t13)) % 0.36/0.57 (define @t21 () (forall @t20 (or @t19 @t18 @t16 @t14 (tptp.equalish @t1 @t11)))) % 0.36/0.57 (define @t22 () (@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2)) % 0.36/0.57 (define @t23 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_1)) % 0.36/0.57 (define @t24 () (not @t23)) % 0.36/0.57 (define @t25 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_1)) % 0.36/0.57 (define @t26 () (not @t25)) % 0.36/0.57 (define @t27 () (or @t26 @t24 @t6)) % 0.36/0.57 (define @t28 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_1)) % 0.36/0.57 (define @t29 () (not @t28)) % 0.36/0.57 (define @t30 () (or @t26 @t29 @t6)) % 0.36/0.57 (define @t31 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_2)) % 0.36/0.57 (define @t32 () (not @t4)) % 0.36/0.57 (define @t33 () (not @t5)) % 0.36/0.57 (define @t34 () (or @t33 @t32 @t23 @t31)) % 0.36/0.57 (define @t35 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_2)) % 0.36/0.57 (define @t36 () (or @t32 @t33 @t28 @t35)) % 0.36/0.57 (define @t37 () (tptp.product tptp.e_2 tptp.e_2 tptp.e_2)) % 0.36/0.57 (define @t38 () (not @t37)) % 0.36/0.57 (define @t39 () (not @t31)) % 0.36/0.57 (define @t40 () (or @t39 @t38 @t6)) % 0.36/0.57 (define @t41 () (not @t35)) % 0.36/0.57 (define @t42 () (tptp.product tptp.e_2 tptp.e_2 tptp.e_1)) % 0.36/0.57 (define @t43 () (not @t42)) % 0.36/0.57 (define @t44 () (or @t26 @t43 @t26 @t41 @t6)) % 0.36/0.57 (define @t45 () (or @t33 @t33 @t42 @t37)) % 0.36/0.57 (define @t46 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_2)) % 0.36/0.57 (define @t47 () (or @t32 @t32 @t25 @t46)) % 0.36/0.57 (define @t48 () (@list false true false)) % 0.36/0.57 (define @t49 () (not @t46)) % 0.36/0.57 (define @t50 () (or @t41 @t49 @t7)) % 0.36/0.57 (define @t51 () (@list true false false)) % 0.36/0.57 (define @t52 () (@list false false true false)) % 0.36/0.57 (define @t53 () (or @t29 @t43 @t6)) % 0.36/0.57 (define @t54 () (or @t38 @t49 @t38 @t24 @t7)) % 0.36/0.57 (define @t55 () (not @t54)) % 0.36/0.57 (assume @p1 (tptp.next tptp.e_1 tptp.e_2)) % 0.36/0.57 (assume @p2 (tptp.greater tptp.e_2 tptp.e_1)) % 0.36/0.57 (assume @p3 (forall (@list @t3 @t2 @t1) (or (not (tptp.product @t3 tptp.e_1 @t2)) (not (tptp.next @t3 @t1)) (not (tptp.greater @t2 @t1))))) % 0.36/0.57 (assume @p4 @t4) % 0.36/0.57 (assume @p5 @t5) % 0.36/0.57 (assume @p6 (not @t6)) % 0.36/0.57 (assume @p7 (not @t7)) % 0.36/0.57 (assume @p8 (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)))) % 0.36/0.57 (assume @p9 (forall (@list @t3 @t2 @t9 @t8) (or (not (tptp.product @t3 @t2 @t9)) (not (tptp.product @t3 @t2 @t8)) @t10))) % 0.36/0.57 (assume @p10 (forall (@list @t3 @t9 @t2 @t8) (or (not (tptp.product @t3 @t9 @t2)) (not (tptp.product @t3 @t8 @t2)) @t10))) % 0.36/0.57 (assume @p11 (forall (@list @t9 @t2 @t3 @t8) (or (not (tptp.product @t9 @t2 @t3)) (not (tptp.product @t8 @t2 @t3)) @t10))) % 0.36/0.57 (assume @p12 @t21) % 0.36/0.57 (assume @p13 (forall @t20 (or @t19 @t18 @t16 @t14 (tptp.equalish @t15 @t12)))) % 0.36/0.57 (step @p14 :rule instantiate :premises (@p8) :args ((@list tptp.e_2 tptp.e_2))) % 0.36/0.57 (step @p15 :rule instantiate :premises (@p11) :args ((@list tptp.e_1 tptp.e_2 tptp.e_1 tptp.e_2))) % 0.36/0.57 (step @p16 :rule instantiate :premises (@p8) :args ((@list tptp.e_1 tptp.e_2))) % 0.36/0.57 (step @p17 :rule instantiate :premises (@p10) :args ((@list tptp.e_1 tptp.e_2 tptp.e_2 tptp.e_1))) % 0.36/0.57 (step @p18 :rule instantiate :premises (@p8) :args ((@list tptp.e_1 tptp.e_1))) % 0.36/0.57 (step @p19 :rule instantiate :premises (@p11) :args (@t22)) % 0.36/0.57 (step @p20 :rule cnf_or_pos :args (@t27)) % 0.36/0.57 (step @p21 :rule reordering :premises (@p20) :args ((or @t6 @t26 @t24 (not @t27)))) % 0.36/0.57 (step @p22 :rule instantiate :premises (@p10) :args (@t22)) % 0.36/0.57 (step @p23 :rule cnf_or_pos :args (@t30)) % 0.36/0.57 (step @p24 :rule reordering :premises (@p23) :args ((or @t6 @t26 @t29 (not @t30)))) % 0.36/0.57 (step @p25 :rule instantiate :premises (@p8) :args ((@list tptp.e_2 tptp.e_1))) % 0.36/0.57 (step @p26 :rule cnf_or_pos :args (@t34)) % 0.36/0.57 (step @p27 :rule reordering :premises (@p26) :args ((or @t32 @t33 @t23 @t31 (not @t34)))) % 0.36/0.57 (step @p28 :rule cnf_or_pos :args (@t36)) % 0.36/0.57 (step @p29 :rule reordering :premises (@p28) :args ((or @t32 @t33 @t28 @t35 (not @t36)))) % 0.36/0.57 (step @p30 :rule instantiate :premises (@p10) :args ((@list tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_2))) % 0.36/0.57 (step @p31 :rule cnf_or_pos :args (@t40)) % 0.36/0.57 (step @p32 :rule reordering :premises (@p31) :args ((or @t6 @t39 @t38 (not @t40)))) % 0.36/0.57 (step @p33 :rule instantiate :premises (@p12) :args ((@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2 tptp.e_2 tptp.e_1))) % 0.36/0.57 (step @p34 :rule cnf_or_pos :args (@t44)) % 0.36/0.57 (step @p35 :rule factoring :premises (@p34)) % 0.36/0.57 (step @p36 :rule reordering :premises (@p35) :args ((or @t6 @t26 @t41 @t43 (not @t44)))) % 0.36/0.57 (step @p37 :rule cnf_or_pos :args (@t45)) % 0.36/0.57 (step @p38 :rule factoring :premises (@p37)) % 0.36/0.57 (step @p39 :rule reordering :premises (@p38) :args ((or @t33 @t42 @t37 (not @t45)))) % 0.36/0.57 (step @p40 :rule chain_m_resolution :premises (@p39 @p14 @p5 @p36 @p33 @p6 @p32 @p30 @p6 @p29 @p16 @p5 @p4 @p27 @p25 @p5 @p4 @p24 @p22 @p6 @p21 @p19 @p6) :args (@t26 (@list false false true false true true false true false false false false false false false false true false true true false true) (@list @t45 @t5 @t42 @t44 @t6 @t37 @t40 @t6 @t35 @t36 @t5 @t4 @t31 @t34 @t5 @t4 @t28 @t30 @t6 @t23 @t27 @t6))) % 0.36/0.57 (step @p41 :rule cnf_or_pos :args (@t47)) % 0.36/0.57 (step @p42 :rule factoring :premises (@p41)) % 0.36/0.57 (step @p43 :rule reordering :premises (@p42) :args ((or @t32 @t25 @t46 (not @t47)))) % 0.36/0.57 (step @p44 :rule chain_m_resolution :premises (@p43 @p4 @p40 @p18) :args (@t46 @t48 (@list @t4 @t25 @t47))) % 0.36/0.57 (step @p45 :rule cnf_or_pos :args (@t50)) % 0.36/0.57 (step @p46 :rule reordering :premises (@p45) :args ((or @t7 @t49 @t41 (not @t50)))) % 0.36/0.57 (step @p47 :rule chain_m_resolution :premises (@p46 @p7 @p44 @p17) :args (@t41 @t51 (@list @t7 @t46 @t50))) % 0.36/0.57 (step @p48 :rule chain_m_resolution :premises (@p29 @p4 @p5 @p47 @p16) :args (@t28 @t52 (@list @t4 @t5 @t35 @t36))) % 0.36/0.57 (step @p49 :rule cnf_or_pos :args (@t53)) % 0.36/0.57 (step @p50 :rule reordering :premises (@p49) :args ((or @t6 @t29 @t43 (not @t53)))) % 0.36/0.57 (step @p51 :rule chain_m_resolution :premises (@p50 @p6 @p48 @p15) :args (@t43 @t51 (@list @t6 @t28 @t53))) % 0.36/0.57 (step @p52 :rule chain_m_resolution :premises (@p39 @p5 @p51 @p14) :args (@t37 @t48 (@list @t5 @t42 @t45))) % 0.36/0.57 (step @p53 :rule chain_m_resolution :premises (@p32 @p6 @p52 @p30) :args (@t39 @t51 (@list @t6 @t37 @t40))) % 0.36/0.57 (step @p54 :rule chain_m_resolution :premises (@p27 @p4 @p5 @p53 @p25) :args (@t23 @t52 (@list @t4 @t5 @t31 @t34))) % 0.36/0.57 (step @p55 :rule cnf_or_pos :args (@t54)) % 0.36/0.57 (step @p56 :rule factoring :premises (@p55)) % 0.36/0.57 (step @p57 :rule reordering :premises (@p56) :args ((or @t7 @t49 @t24 @t38 @t55))) % 0.36/0.57 (step @p58 :rule chain_m_resolution :premises (@p57 @p7 @p44 @p54 @p52) :args (@t55 (@list true false false false) (@list @t7 @t46 @t23 @t37))) % 0.36/0.57 (assume-push @p65 @t21) % 0.36/0.57 (step @p60 :rule instantiate :premises (@p12) :args ((@list tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_1 tptp.e_1 tptp.e_2))) % 0.36/0.57 (step-pop @p66 :rule scope :premises (@p60)) % 0.36/0.57 (step @p61 :rule process_scope :premises (@p66) :args (@t54)) % 0.36/0.57 (step @p63 :rule implies_elim :premises (@p61)) % 0.36/0.57 (step @p64 false :rule chain_m_resolution :premises (@p63 @p58 @p12) :args (false (@list true false) (@list @t54 @t21))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.58 % cvc5 exiting %------------------------------------------------------------------------------