%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP130-4.003 : 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 : 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 0.39s 0.59s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP130-4.003 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n021.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 00:54:35 EDT 2026 % 0.18/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.59 % SZS status Unsatisfiable % 0.39/0.59 % SZS output start Proof % 0.39/0.59 ( % 0.39/0.59 (declare-sort $$unsorted 0) % 0.39/0.59 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.group_element (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.e_1 $$unsorted) % 0.39/0.59 (declare-const tptp.e_2 $$unsorted) % 0.39/0.59 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.e_3 $$unsorted) % 0.39/0.59 (define @t1 () (@var "Y" $$unsorted)) % 0.39/0.59 (define @t2 () (@var "X" $$unsorted)) % 0.39/0.59 (define @t3 () (not (tptp.group_element @t1))) % 0.39/0.59 (define @t4 () (not (tptp.group_element @t2))) % 0.39/0.59 (define @t5 () (@list @t2 @t1)) % 0.39/0.59 (define @t6 () (@var "Z2" $$unsorted)) % 0.39/0.59 (define @t7 () (@var "Z1" $$unsorted)) % 0.39/0.59 (define @t8 () (tptp.product @t2 @t7 @t6)) % 0.39/0.59 (define @t9 () (not @t8)) % 0.39/0.59 (define @t10 () (tptp.product @t6 @t1 @t2)) % 0.39/0.59 (define @t11 () (not @t10)) % 0.39/0.59 (define @t12 () (tptp.product @t2 @t1 @t7)) % 0.39/0.59 (define @t13 () (@list @t2 @t1 @t7 @t6)) % 0.39/0.59 (define @t14 () (forall @t13 (or @t12 @t11 @t9))) % 0.39/0.59 (define @t15 () (not @t12)) % 0.39/0.59 (define @t16 () (tptp.group_element tptp.e_1)) % 0.39/0.59 (define @t17 () (tptp.group_element tptp.e_2)) % 0.39/0.59 (define @t18 () (tptp.equalish tptp.e_1 tptp.e_2)) % 0.39/0.59 (define @t19 () (tptp.equalish tptp.e_1 tptp.e_3)) % 0.39/0.59 (define @t20 () (@var "Z" $$unsorted)) % 0.39/0.59 (define @t21 () (@var "W" $$unsorted)) % 0.39/0.59 (define @t22 () (tptp.equalish @t21 @t20)) % 0.39/0.59 (define @t23 () (@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2)) % 0.39/0.59 (define @t24 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_1)) % 0.39/0.59 (define @t25 () (not @t24)) % 0.39/0.59 (define @t26 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_1)) % 0.39/0.59 (define @t27 () (or @t26 @t25 @t25)) % 0.39/0.59 (define @t28 () (@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_3)) % 0.39/0.59 (define @t29 () (tptp.product tptp.e_1 tptp.e_3 tptp.e_1)) % 0.39/0.59 (define @t30 () (not @t29)) % 0.39/0.59 (define @t31 () (or @t26 @t30 @t30)) % 0.39/0.59 (define @t32 () (not @t16)) % 0.39/0.59 (define @t33 () (or @t32 @t32 @t26 @t24 @t29)) % 0.39/0.59 (define @t34 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_1)) % 0.39/0.59 (define @t35 () (not @t34)) % 0.39/0.59 (define @t36 () (not @t26)) % 0.39/0.59 (define @t37 () (or @t36 @t35 @t18)) % 0.39/0.59 (define @t38 () (@list true false false)) % 0.39/0.59 (define @t39 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_2)) % 0.39/0.59 (define @t40 () (not @t39)) % 0.39/0.59 (define @t41 () (or @t34 @t40 @t40)) % 0.39/0.59 (define @t42 () (@list true false)) % 0.39/0.59 (define @t43 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_2)) % 0.39/0.59 (define @t44 () (not @t43)) % 0.39/0.59 (define @t45 () (or @t36 @t44 @t18)) % 0.39/0.59 (define @t46 () (tptp.product tptp.e_3 tptp.e_1 tptp.e_2)) % 0.39/0.59 (define @t47 () (not @t17)) % 0.39/0.59 (define @t48 () (or @t32 @t47 @t43 @t39 @t46)) % 0.39/0.59 (define @t49 () (@list false false true true false)) % 0.39/0.59 (define @t50 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_3)) % 0.39/0.59 (define @t51 () (or @t47 @t32 @t34 @t39 @t50)) % 0.39/0.59 (define @t52 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_3)) % 0.39/0.59 (define @t53 () (not @t52)) % 0.39/0.59 (define @t54 () (or @t36 @t53 @t19)) % 0.39/0.59 (define @t55 () (tptp.product tptp.e_3 tptp.e_1 tptp.e_1)) % 0.39/0.59 (define @t56 () (not @t55)) % 0.39/0.59 (define @t57 () (or @t52 @t56 @t36)) % 0.39/0.59 (define @t58 () (not @t46)) % 0.39/0.59 (define @t59 () (not @t50)) % 0.39/0.59 (define @t60 () (or @t55 @t59 @t58)) % 0.39/0.59 (define @t61 () (not @t60)) % 0.39/0.59 (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)))) % 0.39/0.59 (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)))) % 0.39/0.59 (assume @p3 @t14) % 0.39/0.59 (assume @p4 (forall (@list @t2 @t7 @t6 @t1) (or @t8 @t11 @t15))) % 0.39/0.59 (assume @p5 @t16) % 0.39/0.59 (assume @p6 @t17) % 0.39/0.59 (assume @p7 (tptp.group_element tptp.e_3)) % 0.39/0.59 (assume @p8 (not @t18)) % 0.39/0.59 (assume @p9 (not @t19)) % 0.39/0.59 (assume @p10 (not (tptp.equalish tptp.e_2 tptp.e_1))) % 0.39/0.59 (assume @p11 (not (tptp.equalish tptp.e_2 tptp.e_3))) % 0.39/0.59 (assume @p12 (not (tptp.equalish tptp.e_3 tptp.e_1))) % 0.39/0.59 (assume @p13 (not (tptp.equalish tptp.e_3 tptp.e_2))) % 0.39/0.59 (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)))) % 0.39/0.59 (assume @p15 (forall (@list @t2 @t1 @t21 @t20) (or (not (tptp.product @t2 @t1 @t21)) (not (tptp.product @t2 @t1 @t20)) @t22))) % 0.39/0.59 (assume @p16 (forall (@list @t2 @t21 @t1 @t20) (or (not (tptp.product @t2 @t21 @t1)) (not (tptp.product @t2 @t20 @t1)) @t22))) % 0.39/0.59 (assume @p17 (forall (@list @t21 @t1 @t2 @t20) (or (not (tptp.product @t21 @t1 @t2)) (not (tptp.product @t20 @t1 @t2)) @t22))) % 0.39/0.59 (assume @p18 (forall @t13 (or @t15 @t9 @t10))) % 0.39/0.59 (step @p19 :rule instantiate :premises (@p1) :args ((@list tptp.e_1 tptp.e_2))) % 0.39/0.59 (step @p20 :rule instantiate :premises (@p3) :args ((@list tptp.e_2 tptp.e_1 tptp.e_1 tptp.e_2))) % 0.39/0.59 (step @p21 :rule instantiate :premises (@p17) :args (@t23)) % 0.39/0.59 (step @p22 :rule instantiate :premises (@p4) :args (@t23)) % 0.39/0.59 (step @p23 :rule cnf_or_pos :args (@t27)) % 0.39/0.59 (step @p24 :rule factoring :premises (@p23)) % 0.39/0.59 (step @p25 :rule reordering :premises (@p24) :args ((or @t26 @t25 (not @t27)))) % 0.39/0.59 (step @p26 :rule instantiate :premises (@p4) :args (@t28)) % 0.39/0.59 (step @p27 :rule cnf_or_pos :args (@t31)) % 0.39/0.59 (step @p28 :rule factoring :premises (@p27)) % 0.39/0.59 (step @p29 :rule reordering :premises (@p28) :args ((or @t26 @t30 (not @t31)))) % 0.39/0.59 (step @p30 :rule instantiate :premises (@p2) :args ((@list tptp.e_1 tptp.e_1))) % 0.39/0.59 (step @p31 :rule cnf_or_pos :args (@t33)) % 0.39/0.59 (step @p32 :rule factoring :premises (@p31)) % 0.39/0.59 (step @p33 :rule reordering :premises (@p32) :args ((or @t32 @t26 @t24 @t29 (not @t33)))) % 0.39/0.59 (step @p34 :rule chain_m_resolution :premises (@p33 @p30 @p5 @p29 @p26 @p25 @p22) :args (@t26 (@list false false true false true false) (@list @t33 @t16 @t29 @t31 @t24 @t27))) % 0.39/0.59 (step @p35 :rule cnf_or_pos :args (@t37)) % 0.39/0.59 (step @p36 :rule reordering :premises (@p35) :args ((or @t18 @t36 @t35 (not @t37)))) % 0.39/0.59 (step @p37 :rule chain_m_resolution :premises (@p36 @p8 @p34 @p21) :args (@t35 @t38 (@list @t18 @t26 @t37))) % 0.39/0.59 (step @p38 :rule cnf_or_pos :args (@t41)) % 0.39/0.59 (step @p39 :rule factoring :premises (@p38)) % 0.39/0.59 (step @p40 :rule reordering :premises (@p39) :args ((or @t34 @t40 (not @t41)))) % 0.39/0.59 (step @p41 :rule chain_m_resolution :premises (@p40 @p37 @p20) :args (@t40 @t42 (@list @t34 @t41))) % 0.39/0.59 (step @p42 :rule instantiate :premises (@p15) :args (@t23)) % 0.39/0.59 (step @p43 :rule cnf_or_pos :args (@t45)) % 0.39/0.59 (step @p44 :rule reordering :premises (@p43) :args ((or @t18 @t36 @t44 (not @t45)))) % 0.39/0.59 (step @p45 :rule chain_m_resolution :premises (@p44 @p8 @p34 @p42) :args (@t44 @t38 (@list @t18 @t26 @t45))) % 0.39/0.59 (step @p46 :rule cnf_or_pos :args (@t48)) % 0.39/0.59 (step @p47 :rule reordering :premises (@p46) :args ((or @t32 @t47 @t43 @t46 @t39 (not @t48)))) % 0.39/0.59 (step @p48 :rule chain_m_resolution :premises (@p47 @p5 @p6 @p45 @p41 @p19) :args (@t46 @t49 (@list @t16 @t17 @t43 @t39 @t48))) % 0.39/0.59 (step @p49 :rule instantiate :premises (@p14) :args ((@list tptp.e_2 tptp.e_1))) % 0.39/0.59 (step @p50 :rule cnf_or_pos :args (@t51)) % 0.39/0.59 (step @p51 :rule reordering :premises (@p50) :args ((or @t32 @t47 @t34 @t50 @t39 (not @t51)))) % 0.39/0.59 (step @p52 :rule chain_m_resolution :premises (@p51 @p5 @p6 @p37 @p41 @p49) :args (@t50 @t49 (@list @t16 @t17 @t34 @t39 @t51))) % 0.39/0.59 (step @p53 :rule instantiate :premises (@p4) :args ((@list tptp.e_1 tptp.e_1 tptp.e_3 tptp.e_1))) % 0.39/0.59 (step @p54 :rule instantiate :premises (@p15) :args (@t28)) % 0.39/0.59 (step @p55 :rule cnf_or_pos :args (@t54)) % 0.39/0.59 (step @p56 :rule reordering :premises (@p55) :args ((or @t19 @t36 @t53 (not @t54)))) % 0.39/0.59 (step @p57 :rule chain_m_resolution :premises (@p56 @p9 @p34 @p54) :args (@t53 @t38 (@list @t19 @t26 @t54))) % 0.39/0.59 (step @p58 :rule cnf_or_pos :args (@t57)) % 0.39/0.59 (step @p59 :rule reordering :premises (@p58) :args ((or @t36 @t52 @t56 (not @t57)))) % 0.39/0.59 (step @p60 :rule chain_m_resolution :premises (@p59 @p34 @p57 @p53) :args (@t56 (@list false true false) (@list @t26 @t52 @t57))) % 0.39/0.59 (step @p61 :rule cnf_or_pos :args (@t60)) % 0.39/0.59 (step @p62 :rule reordering :premises (@p61) :args ((or @t55 @t59 @t58 @t61))) % 0.39/0.59 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p52 @p48) :args (@t61 @t38 (@list @t55 @t50 @t46))) % 0.39/0.59 (assume-push @p70 @t14) % 0.39/0.59 (step @p65 :rule instantiate :premises (@p3) :args ((@list tptp.e_3 tptp.e_1 tptp.e_1 tptp.e_2))) % 0.39/0.59 (step-pop @p71 :rule scope :premises (@p65)) % 0.39/0.59 (step @p66 :rule process_scope :premises (@p71) :args (@t60)) % 0.39/0.59 (step @p68 :rule implies_elim :premises (@p66)) % 0.39/0.59 (step @p69 false :rule chain_m_resolution :premises (@p68 @p63 @p3) :args (false @t42 (@list @t60 @t14))) % 0.39/0.59 ) % 0.39/0.59 % SZS output end Proof % 0.39/0.59 % cvc5 exiting %------------------------------------------------------------------------------