%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP123-6.003 : 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 : n022.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 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP123-6.003 : TPTP v9.2.1. Released v1.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n022.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 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 00:51:38 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.56 % SZS status Unsatisfiable % 0.36/0.56 % SZS output start Proof % 0.36/0.56 ( % 0.36/0.56 (declare-sort $$unsorted 0) % 0.36/0.56 (declare-const tptp.product2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.product1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.e_2 $$unsorted) % 0.36/0.56 (declare-const tptp.group_element (-> $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.e_3 $$unsorted) % 0.36/0.56 (declare-const tptp.e_1 $$unsorted) % 0.36/0.56 (define @t1 () (tptp.group_element tptp.e_1)) % 0.36/0.56 (define @t2 () (tptp.group_element tptp.e_2)) % 0.36/0.56 (define @t3 () (tptp.group_element tptp.e_3)) % 0.36/0.56 (define @t4 () (tptp.equalish tptp.e_1 tptp.e_2)) % 0.36/0.56 (define @t5 () (tptp.equalish tptp.e_3 tptp.e_1)) % 0.36/0.56 (define @t6 () (tptp.equalish tptp.e_3 tptp.e_2)) % 0.36/0.56 (define @t7 () (@var "Y" $$unsorted)) % 0.36/0.56 (define @t8 () (@var "X" $$unsorted)) % 0.36/0.56 (define @t9 () (not (tptp.group_element @t7))) % 0.36/0.56 (define @t10 () (not (tptp.group_element @t8))) % 0.36/0.56 (define @t11 () (@list @t8 @t7)) % 0.36/0.56 (define @t12 () (@var "Z" $$unsorted)) % 0.36/0.56 (define @t13 () (@var "W" $$unsorted)) % 0.36/0.56 (define @t14 () (tptp.equalish @t13 @t12)) % 0.36/0.56 (define @t15 () (@list @t8 @t7 @t13 @t12)) % 0.36/0.56 (define @t16 () (@list @t8 @t13 @t7 @t12)) % 0.36/0.56 (define @t17 () (@list @t13 @t7 @t8 @t12)) % 0.36/0.56 (define @t18 () (@list @t8)) % 0.36/0.56 (define @t19 () (@var "Z2" $$unsorted)) % 0.36/0.56 (define @t20 () (@var "Z1" $$unsorted)) % 0.36/0.56 (define @t21 () (tptp.product1 tptp.e_2 tptp.e_2 tptp.e_2)) % 0.36/0.56 (define @t22 () (not @t21)) % 0.36/0.56 (define @t23 () (tptp.product1 tptp.e_1 tptp.e_2 tptp.e_2)) % 0.36/0.56 (define @t24 () (not @t23)) % 0.36/0.56 (define @t25 () (or @t24 @t22 @t4)) % 0.36/0.56 (define @t26 () (@list true false false)) % 0.36/0.56 (define @t27 () (@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2)) % 0.36/0.56 (define @t28 () (@list tptp.e_1)) % 0.36/0.56 (define @t29 () (tptp.product1 tptp.e_1 tptp.e_2 tptp.e_1)) % 0.36/0.56 (define @t30 () (not @t29)) % 0.36/0.56 (define @t31 () (tptp.product1 tptp.e_1 tptp.e_1 tptp.e_1)) % 0.36/0.56 (define @t32 () (not @t31)) % 0.36/0.56 (define @t33 () (or @t32 @t30 @t4)) % 0.36/0.56 (define @t34 () (tptp.product1 tptp.e_1 tptp.e_2 tptp.e_3)) % 0.36/0.56 (define @t35 () (not @t2)) % 0.36/0.56 (define @t36 () (not @t1)) % 0.36/0.56 (define @t37 () (or @t36 @t35 @t29 @t23 @t34)) % 0.36/0.56 (define @t38 () (not @t34)) % 0.36/0.56 (define @t39 () (tptp.product1 tptp.e_3 tptp.e_2 tptp.e_3)) % 0.36/0.56 (define @t40 () (not @t39)) % 0.36/0.56 (define @t41 () (or @t40 @t38 @t5)) % 0.36/0.56 (define @t42 () (tptp.product1 tptp.e_3 tptp.e_2 tptp.e_2)) % 0.36/0.56 (define @t43 () (not @t42)) % 0.36/0.56 (define @t44 () (or @t43 @t22 @t6)) % 0.36/0.56 (define @t45 () (tptp.product2 tptp.e_1 tptp.e_1 tptp.e_2)) % 0.36/0.56 (define @t46 () (not @t45)) % 0.36/0.56 (define @t47 () (tptp.product2 tptp.e_1 tptp.e_1 tptp.e_1)) % 0.36/0.56 (define @t48 () (not @t47)) % 0.36/0.56 (define @t49 () (or @t48 @t46 @t4)) % 0.36/0.56 (define @t50 () (tptp.product1 tptp.e_3 tptp.e_2 tptp.e_1)) % 0.36/0.56 (define @t51 () (not @t50)) % 0.36/0.56 (define @t52 () (or @t38 @t51 @t45)) % 0.36/0.56 (define @t53 () (not @t3)) % 0.36/0.56 (define @t54 () (or @t53 @t35 @t50 @t42 @t39)) % 0.36/0.56 (assume @p1 @t1) % 0.36/0.56 (assume @p2 @t2) % 0.36/0.56 (assume @p3 @t3) % 0.36/0.56 (assume @p4 (not @t4)) % 0.36/0.56 (assume @p5 (not (tptp.equalish tptp.e_1 tptp.e_3))) % 0.36/0.56 (assume @p6 (not (tptp.equalish tptp.e_2 tptp.e_1))) % 0.36/0.56 (assume @p7 (not (tptp.equalish tptp.e_2 tptp.e_3))) % 0.36/0.56 (assume @p8 (not @t5)) % 0.36/0.56 (assume @p9 (not @t6)) % 0.36/0.56 (assume @p10 (forall @t11 (or @t10 @t9 (tptp.product1 @t8 @t7 tptp.e_1) (tptp.product1 @t8 @t7 tptp.e_2) (tptp.product1 @t8 @t7 tptp.e_3)))) % 0.36/0.56 (assume @p11 (forall @t15 (or (not (tptp.product1 @t8 @t7 @t13)) (not (tptp.product1 @t8 @t7 @t12)) @t14))) % 0.36/0.56 (assume @p12 (forall @t16 (or (not (tptp.product1 @t8 @t13 @t7)) (not (tptp.product1 @t8 @t12 @t7)) @t14))) % 0.36/0.56 (assume @p13 (forall @t17 (or (not (tptp.product1 @t13 @t7 @t8)) (not (tptp.product1 @t12 @t7 @t8)) @t14))) % 0.36/0.56 (assume @p14 (forall @t18 (tptp.product1 @t8 @t8 @t8))) % 0.36/0.56 (assume @p15 (forall @t11 (or @t10 @t9 (tptp.product2 @t8 @t7 tptp.e_1) (tptp.product2 @t8 @t7 tptp.e_2) (tptp.product2 @t8 @t7 tptp.e_3)))) % 0.36/0.56 (assume @p16 (forall @t15 (or (not (tptp.product2 @t8 @t7 @t13)) (not (tptp.product2 @t8 @t7 @t12)) @t14))) % 0.36/0.56 (assume @p17 (forall @t16 (or (not (tptp.product2 @t8 @t13 @t7)) (not (tptp.product2 @t8 @t12 @t7)) @t14))) % 0.36/0.56 (assume @p18 (forall @t17 (or (not (tptp.product2 @t13 @t7 @t8)) (not (tptp.product2 @t12 @t7 @t8)) @t14))) % 0.36/0.56 (assume @p19 (forall @t18 (tptp.product2 @t8 @t8 @t8))) % 0.36/0.56 (assume @p20 (forall (@list @t8 @t7 @t20 @t19) (or (not (tptp.product1 @t8 @t7 @t20)) (not (tptp.product1 @t20 @t7 @t19)) (tptp.product2 @t19 @t8 @t7)))) % 0.36/0.56 (step @p21 :rule instantiate :premises (@p10) :args ((@list tptp.e_3 tptp.e_2))) % 0.36/0.56 (step @p22 :rule instantiate :premises (@p13) :args ((@list tptp.e_3 tptp.e_2 tptp.e_3 tptp.e_1))) % 0.36/0.56 (step @p23 :rule instantiate :premises (@p10) :args ((@list tptp.e_1 tptp.e_2))) % 0.36/0.56 (step @p24 :rule instantiate :premises (@p13) :args ((@list tptp.e_1 tptp.e_2 tptp.e_2 tptp.e_2))) % 0.36/0.56 (step @p25 :rule instantiate :premises (@p14) :args ((@list tptp.e_2))) % 0.36/0.56 (step @p26 :rule cnf_or_pos :args (@t25)) % 0.36/0.56 (step @p27 :rule reordering :premises (@p26) :args ((or @t4 @t24 @t22 (not @t25)))) % 0.36/0.56 (step @p28 :rule chain_m_resolution :premises (@p27 @p4 @p25 @p24) :args (@t24 @t26 (@list @t4 @t21 @t25))) % 0.36/0.56 (step @p29 :rule instantiate :premises (@p12) :args (@t27)) % 0.36/0.56 (step @p30 :rule instantiate :premises (@p14) :args (@t28)) % 0.36/0.56 (step @p31 :rule cnf_or_pos :args (@t33)) % 0.36/0.56 (step @p32 :rule reordering :premises (@p31) :args ((or @t4 @t32 @t30 (not @t33)))) % 0.36/0.56 (step @p33 :rule chain_m_resolution :premises (@p32 @p4 @p30 @p29) :args (@t30 @t26 (@list @t4 @t31 @t33))) % 0.36/0.56 (step @p34 :rule cnf_or_pos :args (@t37)) % 0.36/0.56 (step @p35 :rule reordering :premises (@p34) :args ((or @t36 @t35 @t29 @t23 @t34 (not @t37)))) % 0.36/0.56 (step @p36 :rule chain_m_resolution :premises (@p35 @p1 @p2 @p33 @p28 @p23) :args (@t34 (@list false false true true false) (@list @t1 @t2 @t29 @t23 @t37))) % 0.36/0.56 (step @p37 :rule cnf_or_pos :args (@t41)) % 0.36/0.56 (step @p38 :rule reordering :premises (@p37) :args ((or @t5 @t38 @t40 (not @t41)))) % 0.36/0.56 (step @p39 :rule chain_m_resolution :premises (@p38 @p8 @p36 @p22) :args (@t40 @t26 (@list @t5 @t34 @t41))) % 0.36/0.56 (step @p40 :rule instantiate :premises (@p13) :args ((@list tptp.e_3 tptp.e_2 tptp.e_2 tptp.e_2))) % 0.36/0.56 (step @p41 :rule cnf_or_pos :args (@t44)) % 0.36/0.56 (step @p42 :rule reordering :premises (@p41) :args ((or @t6 @t22 @t43 (not @t44)))) % 0.36/0.56 (step @p43 :rule chain_m_resolution :premises (@p42 @p9 @p25 @p40) :args (@t43 @t26 (@list @t6 @t21 @t44))) % 0.36/0.56 (step @p44 :rule instantiate :premises (@p20) :args ((@list tptp.e_1 tptp.e_2 tptp.e_3 tptp.e_1))) % 0.36/0.56 (step @p45 :rule instantiate :premises (@p16) :args (@t27)) % 0.36/0.56 (step @p46 :rule instantiate :premises (@p19) :args (@t28)) % 0.36/0.56 (step @p47 :rule cnf_or_pos :args (@t49)) % 0.36/0.56 (step @p48 :rule reordering :premises (@p47) :args ((or @t4 @t48 @t46 (not @t49)))) % 0.36/0.56 (step @p49 :rule chain_m_resolution :premises (@p48 @p4 @p46 @p45) :args (@t46 @t26 (@list @t4 @t47 @t49))) % 0.36/0.56 (step @p50 :rule cnf_or_pos :args (@t52)) % 0.36/0.56 (step @p51 :rule reordering :premises (@p50) :args ((or @t45 @t38 @t51 (not @t52)))) % 0.36/0.56 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p36 @p44) :args (@t51 @t26 (@list @t45 @t34 @t52))) % 0.36/0.56 (step @p53 :rule cnf_or_pos :args (@t54)) % 0.36/0.56 (step @p54 :rule reordering :premises (@p53) :args ((or @t35 @t53 @t50 @t42 @t39 (not @t54)))) % 0.36/0.56 (step @p55 false :rule chain_m_resolution :premises (@p54 @p52 @p43 @p39 @p21 @p3 @p2) :args (false (@list true true true false false false) (@list @t50 @t42 @t39 @t54 @t3 @t2))) % 0.36/0.56 ) % 0.36/0.56 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------