%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP130-2.003 : 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 : n003.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 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP130-2.003 : TPTP v9.2.1. Released v1.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n003.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 00:53:14 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Unsatisfiable % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.group_element (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.e_3 $$unsorted) % 0.38/0.58 (declare-const tptp.next (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.e_1 $$unsorted) % 0.38/0.58 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.e_2 $$unsorted) % 0.38/0.58 (define @t1 () (tptp.next tptp.e_1 tptp.e_2)) % 0.38/0.58 (define @t2 () (tptp.greater tptp.e_3 tptp.e_2)) % 0.38/0.58 (define @t3 () (@var "X1" $$unsorted)) % 0.38/0.58 (define @t4 () (@var "Y" $$unsorted)) % 0.38/0.58 (define @t5 () (@var "X" $$unsorted)) % 0.38/0.58 (define @t6 () (tptp.group_element tptp.e_1)) % 0.38/0.58 (define @t7 () (tptp.group_element tptp.e_2)) % 0.38/0.58 (define @t8 () (tptp.group_element tptp.e_3)) % 0.38/0.58 (define @t9 () (tptp.equalish tptp.e_1 tptp.e_2)) % 0.38/0.58 (define @t10 () (tptp.equalish tptp.e_2 tptp.e_3)) % 0.38/0.58 (define @t11 () (tptp.equalish tptp.e_3 tptp.e_1)) % 0.38/0.58 (define @t12 () (@var "Z" $$unsorted)) % 0.38/0.58 (define @t13 () (@var "W" $$unsorted)) % 0.38/0.58 (define @t14 () (tptp.equalish @t13 @t12)) % 0.38/0.58 (define @t15 () (forall (@list @t5 @t13 @t4 @t12) (or (not (tptp.product @t5 @t13 @t4)) (not (tptp.product @t5 @t12 @t4)) @t14))) % 0.38/0.58 (define @t16 () (@var "Z2" $$unsorted)) % 0.38/0.58 (define @t17 () (@var "Z1" $$unsorted)) % 0.38/0.58 (define @t18 () (not @t2)) % 0.38/0.58 (define @t19 () (not @t1)) % 0.38/0.58 (define @t20 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_3)) % 0.38/0.58 (define @t21 () (not @t20)) % 0.38/0.58 (define @t22 () (or @t21 @t19 @t18)) % 0.38/0.58 (define @t23 () (tptp.product tptp.e_3 tptp.e_1 tptp.e_1)) % 0.38/0.58 (define @t24 () (not @t23)) % 0.38/0.58 (define @t25 () (or @t24 @t24 @t20)) % 0.38/0.58 (define @t26 () (@list true false)) % 0.38/0.58 (define @t27 () (tptp.product tptp.e_3 tptp.e_1 tptp.e_3)) % 0.38/0.58 (define @t28 () (tptp.product tptp.e_3 tptp.e_1 tptp.e_2)) % 0.38/0.58 (define @t29 () (not @t6)) % 0.38/0.58 (define @t30 () (not @t8)) % 0.38/0.58 (define @t31 () (or @t30 @t29 @t23 @t28 @t27)) % 0.38/0.58 (define @t32 () (tptp.product tptp.e_3 tptp.e_2 tptp.e_1)) % 0.38/0.58 (define @t33 () (not @t32)) % 0.38/0.58 (define @t34 () (not @t28)) % 0.38/0.58 (define @t35 () (or @t34 @t33 @t20)) % 0.38/0.58 (define @t36 () (tptp.product tptp.e_3 tptp.e_2 tptp.e_3)) % 0.38/0.58 (define @t37 () (not @t36)) % 0.38/0.58 (define @t38 () (or @t34 @t37 @t27)) % 0.38/0.58 (define @t39 () (tptp.product tptp.e_3 tptp.e_2 tptp.e_2)) % 0.38/0.58 (define @t40 () (not @t7)) % 0.38/0.58 (define @t41 () (or @t30 @t40 @t32 @t39 @t36)) % 0.38/0.58 (define @t42 () (not @t27)) % 0.38/0.58 (define @t43 () (or @t33 @t42 @t36)) % 0.38/0.58 (define @t44 () (tptp.product tptp.e_3 tptp.e_3 tptp.e_1)) % 0.38/0.58 (define @t45 () (not @t44)) % 0.38/0.58 (define @t46 () (or @t42 @t45 @t20)) % 0.38/0.58 (define @t47 () (tptp.product tptp.e_3 tptp.e_3 tptp.e_3)) % 0.38/0.58 (define @t48 () (not @t47)) % 0.38/0.58 (define @t49 () (or @t48 @t42 @t11)) % 0.38/0.58 (define @t50 () (tptp.product tptp.e_3 tptp.e_3 tptp.e_2)) % 0.38/0.58 (define @t51 () (not @t50)) % 0.38/0.58 (define @t52 () (or @t51 @t37 @t47)) % 0.38/0.58 (define @t53 () (or @t30 @t30 @t44 @t50 @t47)) % 0.38/0.58 (define @t54 () (not @t39)) % 0.38/0.58 (define @t55 () (or @t54 @t51 @t10)) % 0.38/0.58 (define @t56 () (@list true false false)) % 0.38/0.58 (define @t57 () (or @t34 @t54 @t9)) % 0.38/0.58 (define @t58 () (not @t57)) % 0.38/0.58 (assume @p1 @t1) % 0.38/0.58 (assume @p2 (tptp.next tptp.e_2 tptp.e_3)) % 0.38/0.58 (assume @p3 (tptp.greater tptp.e_2 tptp.e_1)) % 0.38/0.58 (assume @p4 (tptp.greater tptp.e_3 tptp.e_1)) % 0.38/0.58 (assume @p5 @t2) % 0.38/0.58 (assume @p6 (forall (@list @t5 @t4 @t3) (or (not (tptp.product @t5 tptp.e_1 @t4)) (not (tptp.next @t5 @t3)) (not (tptp.greater @t4 @t3))))) % 0.38/0.58 (assume @p7 @t6) % 0.38/0.58 (assume @p8 @t7) % 0.38/0.58 (assume @p9 @t8) % 0.38/0.58 (assume @p10 (not @t9)) % 0.38/0.58 (assume @p11 (not (tptp.equalish tptp.e_1 tptp.e_3))) % 0.38/0.58 (assume @p12 (not (tptp.equalish tptp.e_2 tptp.e_1))) % 0.38/0.58 (assume @p13 (not @t10)) % 0.38/0.58 (assume @p14 (not @t11)) % 0.38/0.58 (assume @p15 (not (tptp.equalish tptp.e_3 tptp.e_2))) % 0.38/0.58 (assume @p16 (forall (@list @t5 @t4) (or (not (tptp.group_element @t5)) (not (tptp.group_element @t4)) (tptp.product @t5 @t4 tptp.e_1) (tptp.product @t5 @t4 tptp.e_2) (tptp.product @t5 @t4 tptp.e_3)))) % 0.38/0.58 (assume @p17 (forall (@list @t5 @t4 @t13 @t12) (or (not (tptp.product @t5 @t4 @t13)) (not (tptp.product @t5 @t4 @t12)) @t14))) % 0.38/0.58 (assume @p18 @t15) % 0.38/0.58 (assume @p19 (forall (@list @t13 @t4 @t5 @t12) (or (not (tptp.product @t13 @t4 @t5)) (not (tptp.product @t12 @t4 @t5)) @t14))) % 0.38/0.58 (assume @p20 (forall (@list @t5 @t4 @t17 @t16) (or (not (tptp.product @t5 @t4 @t17)) (not (tptp.product @t5 @t17 @t16)) (tptp.product @t16 @t4 @t5)))) % 0.38/0.58 (step @p21 :rule instantiate :premises (@p16) :args ((@list tptp.e_3 tptp.e_1))) % 0.38/0.58 (step @p22 :rule instantiate :premises (@p20) :args ((@list tptp.e_3 tptp.e_1 tptp.e_1 tptp.e_1))) % 0.38/0.58 (step @p23 :rule instantiate :premises (@p6) :args ((@list tptp.e_1 tptp.e_3 tptp.e_2))) % 0.38/0.58 (step @p24 :rule cnf_or_pos :args (@t22)) % 0.38/0.58 (step @p25 :rule reordering :premises (@p24) :args ((or @t19 @t18 @t21 (not @t22)))) % 0.38/0.58 (step @p26 :rule chain_m_resolution :premises (@p25 @p1 @p5 @p23) :args (@t21 (@list false false false) (@list @t1 @t2 @t22))) % 0.38/0.58 (step @p27 :rule cnf_or_pos :args (@t25)) % 0.38/0.58 (step @p28 :rule factoring :premises (@p27)) % 0.38/0.58 (step @p29 :rule reordering :premises (@p28) :args ((or @t20 @t24 (not @t25)))) % 0.38/0.58 (step @p30 :rule chain_m_resolution :premises (@p29 @p26 @p22) :args (@t24 @t26 (@list @t20 @t25))) % 0.38/0.58 (step @p31 :rule cnf_or_pos :args (@t31)) % 0.38/0.58 (step @p32 :rule reordering :premises (@p31) :args ((or @t29 @t30 @t23 @t28 @t27 (not @t31)))) % 0.38/0.58 (step @p33 :rule instantiate :premises (@p20) :args ((@list tptp.e_3 tptp.e_1 tptp.e_2 tptp.e_1))) % 0.38/0.58 (step @p34 :rule cnf_or_pos :args (@t35)) % 0.38/0.58 (step @p35 :rule reordering :premises (@p34) :args ((or @t20 @t34 @t33 (not @t35)))) % 0.38/0.58 (step @p36 :rule instantiate :premises (@p20) :args ((@list tptp.e_3 tptp.e_1 tptp.e_2 tptp.e_3))) % 0.38/0.58 (step @p37 :rule cnf_or_pos :args (@t38)) % 0.38/0.58 (step @p38 :rule reordering :premises (@p37) :args ((or @t27 @t34 @t37 (not @t38)))) % 0.38/0.58 (step @p39 :rule instantiate :premises (@p16) :args ((@list tptp.e_3 tptp.e_2))) % 0.38/0.58 (step @p40 :rule cnf_or_pos :args (@t41)) % 0.38/0.58 (step @p41 :rule reordering :premises (@p40) :args ((or @t40 @t30 @t32 @t39 @t36 (not @t41)))) % 0.38/0.58 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p9 @p8 @p38 @p36 @p35 @p33 @p26 @p32 @p30 @p21 @p9 @p7) :args ((or @t27 @t39) (@list false false false true false true false true false true false false false) (@list @t41 @t8 @t7 @t36 @t38 @t32 @t35 @t20 @t28 @t23 @t31 @t8 @t6))) % 0.38/0.58 (step @p43 :rule instantiate :premises (@p20) :args ((@list tptp.e_3 tptp.e_2 tptp.e_1 tptp.e_3))) % 0.38/0.58 (step @p44 :rule cnf_or_pos :args (@t43)) % 0.38/0.58 (step @p45 :rule reordering :premises (@p44) :args ((or @t42 @t36 @t33 (not @t43)))) % 0.38/0.58 (step @p46 :rule chain_m_resolution :premises (@p41 @p39 @p9 @p8 @p45 @p43 @p42) :args ((or @t39 @t36) (@list false false false true false false) (@list @t41 @t8 @t7 @t32 @t43 @t27))) % 0.38/0.58 (step @p47 :rule instantiate :premises (@p20) :args ((@list tptp.e_3 tptp.e_1 tptp.e_3 tptp.e_1))) % 0.38/0.58 (step @p48 :rule cnf_or_pos :args (@t46)) % 0.38/0.58 (step @p49 :rule reordering :premises (@p48) :args ((or @t20 @t45 @t42 (not @t46)))) % 0.38/0.58 (step @p50 :rule instantiate :premises (@p18) :args ((@list tptp.e_3 tptp.e_3 tptp.e_3 tptp.e_1))) % 0.38/0.58 (step @p51 :rule cnf_or_pos :args (@t49)) % 0.38/0.58 (step @p52 :rule reordering :premises (@p51) :args ((or @t11 @t48 @t42 (not @t49)))) % 0.38/0.58 (step @p53 :rule instantiate :premises (@p20) :args ((@list tptp.e_3 tptp.e_3 tptp.e_2 tptp.e_3))) % 0.38/0.58 (step @p54 :rule cnf_or_pos :args (@t52)) % 0.38/0.58 (step @p55 :rule reordering :premises (@p54) :args ((or @t47 @t51 @t37 (not @t52)))) % 0.38/0.58 (step @p56 :rule instantiate :premises (@p16) :args ((@list tptp.e_3 tptp.e_3))) % 0.38/0.58 (step @p57 :rule cnf_or_pos :args (@t53)) % 0.38/0.58 (step @p58 :rule factoring :premises (@p57)) % 0.38/0.58 (step @p59 :rule reordering :premises (@p58) :args ((or @t30 @t44 @t50 @t47 (not @t53)))) % 0.38/0.58 (step @p60 :rule chain_m_resolution :premises (@p59 @p56 @p9 @p55 @p53 @p52 @p50 @p14 @p49 @p47 @p26 @p46 @p42) :args (@t39 (@list false false true false true false true true false true false false) (@list @t53 @t8 @t50 @t52 @t47 @t49 @t11 @t44 @t46 @t20 @t36 @t27))) % 0.38/0.58 (step @p61 :rule instantiate :premises (@p18) :args ((@list tptp.e_3 tptp.e_2 tptp.e_2 tptp.e_3))) % 0.38/0.58 (step @p62 :rule cnf_or_pos :args (@t55)) % 0.38/0.58 (step @p63 :rule reordering :premises (@p62) :args ((or @t10 @t51 @t54 (not @t55)))) % 0.38/0.58 (step @p64 :rule chain_m_resolution :premises (@p63 @p13 @p60 @p61) :args (@t51 @t56 (@list @t10 @t39 @t55))) % 0.38/0.58 (step @p65 :rule chain_m_resolution :premises (@p59 @p64 @p56 @p9 @p52 @p50 @p14 @p49 @p47 @p26) :args (@t42 (@list true false false true false true true false true) (@list @t50 @t53 @t8 @t47 @t49 @t11 @t44 @t46 @t20))) % 0.38/0.58 (step @p66 :rule chain_m_resolution :premises (@p32 @p7 @p9 @p30 @p65 @p21) :args (@t28 (@list false false true true false) (@list @t6 @t8 @t23 @t27 @t31))) % 0.38/0.58 (step @p67 :rule cnf_or_pos :args (@t57)) % 0.38/0.58 (step @p68 :rule reordering :premises (@p67) :args ((or @t9 @t34 @t54 @t58))) % 0.38/0.58 (step @p69 :rule chain_m_resolution :premises (@p68 @p10 @p66 @p60) :args (@t58 @t56 (@list @t9 @t28 @t39))) % 0.38/0.58 (assume-push @p76 @t15) % 0.38/0.58 (step @p71 :rule instantiate :premises (@p18) :args ((@list tptp.e_3 tptp.e_1 tptp.e_2 tptp.e_2))) % 0.38/0.58 (step-pop @p77 :rule scope :premises (@p71)) % 0.38/0.58 (step @p72 :rule process_scope :premises (@p77) :args (@t57)) % 0.38/0.58 (step @p74 :rule implies_elim :premises (@p72)) % 0.38/0.58 (step @p75 false :rule chain_m_resolution :premises (@p74 @p69 @p18) :args (false @t26 (@list @t57 @t15))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------