%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP135-1.002 : 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 : n016.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 08:19:59 AM UTC 2026 % Result : Unsatisfiable 0.32s 0.56s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP135-1.002 : TPTP v9.2.1. Released v1.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.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 00:54:24 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.32/0.56 % SZS status Unsatisfiable % 0.32/0.56 % SZS output start Proof % 0.32/0.56 ( % 0.32/0.56 (declare-sort $$unsorted 0) % 0.32/0.56 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.32/0.56 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.32/0.56 (declare-const tptp.e_2 $$unsorted) % 0.32/0.56 (declare-const tptp.group_element (-> $$unsorted Bool)) % 0.32/0.56 (declare-const tptp.e_1 $$unsorted) % 0.32/0.56 (define @t1 () (tptp.group_element tptp.e_1)) % 0.32/0.56 (define @t2 () (tptp.group_element tptp.e_2)) % 0.32/0.56 (define @t3 () (tptp.equalish tptp.e_1 tptp.e_2)) % 0.32/0.56 (define @t4 () (tptp.equalish tptp.e_2 tptp.e_1)) % 0.32/0.56 (define @t5 () (@var "Y" $$unsorted)) % 0.32/0.56 (define @t6 () (@var "X" $$unsorted)) % 0.32/0.56 (define @t7 () (@var "Z" $$unsorted)) % 0.32/0.56 (define @t8 () (@var "W" $$unsorted)) % 0.32/0.56 (define @t9 () (tptp.equalish @t8 @t7)) % 0.32/0.56 (define @t10 () (@var "Z2" $$unsorted)) % 0.32/0.56 (define @t11 () (@var "Z1" $$unsorted)) % 0.32/0.56 (define @t12 () (forall (@list @t5 @t6 @t11 @t10) (or (not (tptp.product @t5 @t6 @t11)) (not (tptp.product @t11 @t5 @t10)) (tptp.product @t10 @t5 @t6)))) % 0.32/0.56 (define @t13 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_2)) % 0.32/0.56 (define @t14 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_1)) % 0.32/0.56 (define @t15 () (not @t1)) % 0.32/0.56 (define @t16 () (or @t15 @t15 @t14 @t13)) % 0.32/0.56 (define @t17 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_1)) % 0.32/0.56 (define @t18 () (not @t17)) % 0.32/0.56 (define @t19 () (not @t13)) % 0.32/0.56 (define @t20 () (or @t19 @t18 @t14)) % 0.32/0.56 (define @t21 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_2)) % 0.32/0.56 (define @t22 () (not @t21)) % 0.32/0.56 (define @t23 () (or @t19 @t22 @t3)) % 0.32/0.56 (define @t24 () (not @t2)) % 0.32/0.56 (define @t25 () (or @t24 @t15 @t17 @t21)) % 0.32/0.56 (define @t26 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_1)) % 0.32/0.56 (define @t27 () (not @t26)) % 0.32/0.56 (define @t28 () (not @t14)) % 0.32/0.56 (define @t29 () (or @t28 @t27 @t3)) % 0.32/0.56 (define @t30 () (@list true false false)) % 0.32/0.56 (define @t31 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_2)) % 0.32/0.56 (define @t32 () (or @t15 @t24 @t26 @t31)) % 0.32/0.56 (define @t33 () (not @t31)) % 0.32/0.56 (define @t34 () (tptp.product tptp.e_2 tptp.e_2 tptp.e_2)) % 0.32/0.56 (define @t35 () (not @t34)) % 0.32/0.56 (define @t36 () (or @t35 @t33 @t4)) % 0.32/0.56 (define @t37 () (tptp.product tptp.e_2 tptp.e_2 tptp.e_1)) % 0.32/0.56 (define @t38 () (or @t24 @t24 @t37 @t34)) % 0.32/0.56 (define @t39 () (@list false true false)) % 0.32/0.56 (define @t40 () (not @t37)) % 0.32/0.56 (define @t41 () (or @t40 @t33 @t34)) % 0.32/0.56 (define @t42 () (not @t41)) % 0.32/0.56 (assume @p1 @t1) % 0.32/0.56 (assume @p2 @t2) % 0.32/0.56 (assume @p3 (not @t3)) % 0.32/0.56 (assume @p4 (not @t4)) % 0.32/0.56 (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)))) % 0.32/0.56 (assume @p6 (forall (@list @t6 @t5 @t8 @t7) (or (not (tptp.product @t6 @t5 @t8)) (not (tptp.product @t6 @t5 @t7)) @t9))) % 0.32/0.56 (assume @p7 (forall (@list @t6 @t8 @t5 @t7) (or (not (tptp.product @t6 @t8 @t5)) (not (tptp.product @t6 @t7 @t5)) @t9))) % 0.32/0.56 (assume @p8 (forall (@list @t8 @t5 @t6 @t7) (or (not (tptp.product @t8 @t5 @t6)) (not (tptp.product @t7 @t5 @t6)) @t9))) % 0.32/0.56 (assume @p9 @t12) % 0.32/0.56 (step @p10 :rule instantiate :premises (@p5) :args ((@list tptp.e_2 tptp.e_2))) % 0.32/0.56 (step @p11 :rule instantiate :premises (@p8) :args ((@list tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_1))) % 0.32/0.56 (step @p12 :rule instantiate :premises (@p5) :args ((@list tptp.e_1 tptp.e_2))) % 0.32/0.56 (step @p13 :rule instantiate :premises (@p7) :args ((@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2))) % 0.32/0.56 (step @p14 :rule instantiate :premises (@p5) :args ((@list tptp.e_1 tptp.e_1))) % 0.32/0.56 (step @p15 :rule cnf_or_pos :args (@t16)) % 0.32/0.56 (step @p16 :rule factoring :premises (@p15)) % 0.32/0.56 (step @p17 :rule reordering :premises (@p16) :args ((or @t15 @t14 @t13 (not @t16)))) % 0.32/0.56 (step @p18 :rule instantiate :premises (@p9) :args ((@list tptp.e_1 tptp.e_1 tptp.e_2 tptp.e_1))) % 0.32/0.56 (step @p19 :rule cnf_or_pos :args (@t20)) % 0.32/0.56 (step @p20 :rule reordering :premises (@p19) :args ((or @t14 @t19 @t18 (not @t20)))) % 0.32/0.56 (step @p21 :rule instantiate :premises (@p8) :args ((@list tptp.e_1 tptp.e_1 tptp.e_2 tptp.e_2))) % 0.32/0.56 (step @p22 :rule cnf_or_pos :args (@t23)) % 0.32/0.56 (step @p23 :rule reordering :premises (@p22) :args ((or @t3 @t19 @t22 (not @t23)))) % 0.32/0.56 (step @p24 :rule instantiate :premises (@p5) :args ((@list tptp.e_2 tptp.e_1))) % 0.32/0.56 (step @p25 :rule cnf_or_pos :args (@t25)) % 0.32/0.56 (step @p26 :rule reordering :premises (@p25) :args ((or @t15 @t24 @t17 @t21 (not @t25)))) % 0.32/0.56 (step @p27 :rule chain_m_resolution :premises (@p26 @p24 @p2 @p1 @p23 @p21 @p3 @p20 @p18 @p17 @p14 @p1) :args (@t14 (@list false false false true false true true false false false false) (@list @t25 @t2 @t1 @t21 @t23 @t3 @t17 @t20 @t13 @t16 @t1))) % 0.32/0.56 (step @p28 :rule cnf_or_pos :args (@t29)) % 0.32/0.56 (step @p29 :rule reordering :premises (@p28) :args ((or @t3 @t28 @t27 (not @t29)))) % 0.32/0.56 (step @p30 :rule chain_m_resolution :premises (@p29 @p3 @p27 @p13) :args (@t27 @t30 (@list @t3 @t14 @t29))) % 0.32/0.56 (step @p31 :rule cnf_or_pos :args (@t32)) % 0.32/0.56 (step @p32 :rule reordering :premises (@p31) :args ((or @t15 @t24 @t26 @t31 (not @t32)))) % 0.32/0.56 (step @p33 :rule chain_m_resolution :premises (@p32 @p1 @p2 @p30 @p12) :args (@t31 (@list false false true false) (@list @t1 @t2 @t26 @t32))) % 0.32/0.56 (step @p34 :rule cnf_or_pos :args (@t36)) % 0.32/0.56 (step @p35 :rule reordering :premises (@p34) :args ((or @t4 @t33 @t35 (not @t36)))) % 0.32/0.56 (step @p36 :rule chain_m_resolution :premises (@p35 @p4 @p33 @p11) :args (@t35 @t30 (@list @t4 @t31 @t36))) % 0.32/0.56 (step @p37 :rule cnf_or_pos :args (@t38)) % 0.32/0.56 (step @p38 :rule factoring :premises (@p37)) % 0.32/0.56 (step @p39 :rule reordering :premises (@p38) :args ((or @t24 @t37 @t34 (not @t38)))) % 0.32/0.56 (step @p40 :rule chain_m_resolution :premises (@p39 @p2 @p36 @p10) :args (@t37 @t39 (@list @t2 @t34 @t38))) % 0.32/0.56 (step @p41 :rule cnf_or_pos :args (@t41)) % 0.32/0.56 (step @p42 :rule reordering :premises (@p41) :args ((or @t33 @t34 @t40 @t42))) % 0.32/0.56 (step @p43 :rule chain_m_resolution :premises (@p42 @p33 @p36 @p40) :args (@t42 @t39 (@list @t31 @t34 @t37))) % 0.32/0.56 (assume-push @p50 @t12) % 0.32/0.56 (step @p45 :rule instantiate :premises (@p9) :args ((@list tptp.e_2 tptp.e_2 tptp.e_1 tptp.e_2))) % 0.32/0.56 (step-pop @p51 :rule scope :premises (@p45)) % 0.32/0.56 (step @p46 :rule process_scope :premises (@p51) :args (@t41)) % 0.32/0.56 (step @p48 :rule implies_elim :premises (@p46)) % 0.32/0.56 (step @p49 false :rule chain_m_resolution :premises (@p48 @p43 @p9) :args (false (@list true false) (@list @t41 @t12))) % 0.32/0.56 ) % 0.32/0.56 % SZS output end Proof % 0.32/0.56 % cvc5 exiting %------------------------------------------------------------------------------