%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP123-9.003 : 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 : n017.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 08:19:50 AM UTC 2026 % Result : Unsatisfiable 0.36s 0.59s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP123-9.003 : 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 % 0.15/0.34 % Computer : n017.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 00:50:31 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----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... % 0.36/0.59 % SZS status Unsatisfiable % 0.36/0.59 % SZS output start Proof % 0.36/0.59 ( % 0.36/0.59 (declare-sort $$unsorted 0) % 0.36/0.59 (declare-const tptp.product1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.group_element (-> $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.e_1 $$unsorted) % 0.36/0.59 (declare-const tptp.e_2 $$unsorted) % 0.36/0.59 (declare-const tptp.product2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.e_3 $$unsorted) % 0.36/0.59 (define @t1 () (@var "Y" $$unsorted)) % 0.36/0.59 (define @t2 () (@var "X" $$unsorted)) % 0.36/0.59 (define @t3 () (not (tptp.group_element @t1))) % 0.36/0.59 (define @t4 () (not (tptp.group_element @t2))) % 0.36/0.59 (define @t5 () (@list @t2 @t1)) % 0.36/0.59 (define @t6 () (tptp.group_element tptp.e_1)) % 0.36/0.59 (define @t7 () (tptp.group_element tptp.e_2)) % 0.36/0.59 (define @t8 () (tptp.group_element tptp.e_3)) % 0.36/0.59 (define @t9 () (tptp.equalish tptp.e_1 tptp.e_3)) % 0.36/0.59 (define @t10 () (tptp.equalish tptp.e_2 tptp.e_1)) % 0.36/0.59 (define @t11 () (tptp.equalish tptp.e_3 tptp.e_1)) % 0.36/0.59 (define @t12 () (tptp.equalish tptp.e_3 tptp.e_2)) % 0.36/0.59 (define @t13 () (@var "Z" $$unsorted)) % 0.36/0.59 (define @t14 () (@var "W" $$unsorted)) % 0.36/0.59 (define @t15 () (tptp.equalish @t14 @t13)) % 0.36/0.59 (define @t16 () (@list @t2 @t1 @t14 @t13)) % 0.36/0.59 (define @t17 () (@list @t2 @t14 @t1 @t13)) % 0.36/0.59 (define @t18 () (@list @t14 @t1 @t2 @t13)) % 0.36/0.59 (define @t19 () (@list @t2)) % 0.36/0.59 (define @t20 () (forall @t16 (or (not (tptp.product2 @t2 @t1 @t14)) (not (tptp.product2 @t2 @t1 @t13)) @t15))) % 0.36/0.59 (define @t21 () (@var "Z2" $$unsorted)) % 0.36/0.59 (define @t22 () (@var "Z1" $$unsorted)) % 0.36/0.59 (define @t23 () (tptp.product1 tptp.e_3 tptp.e_3 tptp.e_3)) % 0.36/0.59 (define @t24 () (not @t23)) % 0.36/0.59 (define @t25 () (tptp.product1 tptp.e_3 tptp.e_1 tptp.e_3)) % 0.36/0.59 (define @t26 () (not @t25)) % 0.36/0.59 (define @t27 () (or @t26 @t24 @t9)) % 0.36/0.59 (define @t28 () (@list true false false)) % 0.36/0.59 (define @t29 () (tptp.product1 tptp.e_1 tptp.e_1 tptp.e_1)) % 0.36/0.59 (define @t30 () (not @t29)) % 0.36/0.59 (define @t31 () (tptp.product1 tptp.e_3 tptp.e_1 tptp.e_1)) % 0.36/0.59 (define @t32 () (not @t31)) % 0.36/0.59 (define @t33 () (or @t32 @t30 @t11)) % 0.36/0.59 (define @t34 () (tptp.product1 tptp.e_3 tptp.e_1 tptp.e_2)) % 0.36/0.59 (define @t35 () (not @t6)) % 0.36/0.59 (define @t36 () (not @t8)) % 0.36/0.59 (define @t37 () (or @t36 @t35 @t31 @t34 @t25)) % 0.36/0.59 (define @t38 () (@list false false true true false)) % 0.36/0.59 (define @t39 () (tptp.product1 tptp.e_2 tptp.e_1 tptp.e_2)) % 0.36/0.59 (define @t40 () (not @t39)) % 0.36/0.59 (define @t41 () (not @t34)) % 0.36/0.59 (define @t42 () (or @t41 @t40 @t12)) % 0.36/0.59 (define @t43 () (tptp.product1 tptp.e_2 tptp.e_1 tptp.e_1)) % 0.36/0.59 (define @t44 () (not @t43)) % 0.36/0.59 (define @t45 () (or @t44 @t30 @t10)) % 0.36/0.59 (define @t46 () (tptp.product1 tptp.e_2 tptp.e_1 tptp.e_3)) % 0.36/0.59 (define @t47 () (not @t7)) % 0.36/0.59 (define @t48 () (or @t47 @t35 @t43 @t39 @t46)) % 0.36/0.59 (define @t49 () (tptp.product2 tptp.e_2 tptp.e_2 tptp.e_1)) % 0.36/0.59 (define @t50 () (not @t46)) % 0.36/0.59 (define @t51 () (or @t50 @t41 @t49)) % 0.36/0.59 (define @t52 () (not @t49)) % 0.36/0.59 (define @t53 () (tptp.product2 tptp.e_2 tptp.e_2 tptp.e_2)) % 0.36/0.59 (define @t54 () (not @t53)) % 0.36/0.59 (define @t55 () (or @t54 @t52 @t10)) % 0.36/0.59 (define @t56 () (not @t55)) % 0.36/0.59 (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)))) % 0.36/0.59 (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)))) % 0.36/0.59 (assume @p3 @t6) % 0.36/0.59 (assume @p4 @t7) % 0.36/0.59 (assume @p5 @t8) % 0.36/0.59 (assume @p6 (not (tptp.equalish tptp.e_1 tptp.e_2))) % 0.36/0.59 (assume @p7 (not @t9)) % 0.36/0.59 (assume @p8 (not @t10)) % 0.36/0.59 (assume @p9 (not (tptp.equalish tptp.e_2 tptp.e_3))) % 0.36/0.59 (assume @p10 (not @t11)) % 0.36/0.59 (assume @p11 (not @t12)) % 0.36/0.59 (assume @p12 (forall @t5 (or @t4 @t3 (tptp.product1 @t2 @t1 tptp.e_1) (tptp.product1 @t2 @t1 tptp.e_2) (tptp.product1 @t2 @t1 tptp.e_3)))) % 0.36/0.59 (assume @p13 (forall @t16 (or (not (tptp.product1 @t2 @t1 @t14)) (not (tptp.product1 @t2 @t1 @t13)) @t15))) % 0.36/0.59 (assume @p14 (forall @t17 (or (not (tptp.product1 @t2 @t14 @t1)) (not (tptp.product1 @t2 @t13 @t1)) @t15))) % 0.36/0.59 (assume @p15 (forall @t18 (or (not (tptp.product1 @t14 @t1 @t2)) (not (tptp.product1 @t13 @t1 @t2)) @t15))) % 0.36/0.59 (assume @p16 (forall @t19 (tptp.product1 @t2 @t2 @t2))) % 0.36/0.59 (assume @p17 (forall @t5 (or @t4 @t3 (tptp.product2 @t2 @t1 tptp.e_1) (tptp.product2 @t2 @t1 tptp.e_2) (tptp.product2 @t2 @t1 tptp.e_3)))) % 0.36/0.59 (assume @p18 @t20) % 0.36/0.59 (assume @p19 (forall @t17 (or (not (tptp.product2 @t2 @t14 @t1)) (not (tptp.product2 @t2 @t13 @t1)) @t15))) % 0.36/0.59 (assume @p20 (forall @t18 (or (not (tptp.product2 @t14 @t1 @t2)) (not (tptp.product2 @t13 @t1 @t2)) @t15))) % 0.36/0.59 (assume @p21 (forall @t19 (tptp.product2 @t2 @t2 @t2))) % 0.36/0.59 (assume @p22 (forall (@list @t2 @t1 @t22 @t21) (or (not (tptp.product1 @t2 @t1 @t22)) (not (tptp.product1 @t22 @t1 @t21)) (tptp.product2 @t21 @t2 @t1)))) % 0.36/0.59 (step @p23 :rule instantiate :premises (@p22) :args ((@list tptp.e_2 tptp.e_1 tptp.e_3 tptp.e_2))) % 0.36/0.59 (step @p24 :rule instantiate :premises (@p12) :args ((@list tptp.e_3 tptp.e_1))) % 0.36/0.59 (step @p25 :rule instantiate :premises (@p14) :args ((@list tptp.e_3 tptp.e_1 tptp.e_3 tptp.e_3))) % 0.36/0.59 (step @p26 :rule instantiate :premises (@p16) :args ((@list tptp.e_3))) % 0.36/0.59 (step @p27 :rule cnf_or_pos :args (@t27)) % 0.36/0.59 (step @p28 :rule reordering :premises (@p27) :args ((or @t9 @t24 @t26 (not @t27)))) % 0.36/0.59 (step @p29 :rule chain_m_resolution :premises (@p28 @p7 @p26 @p25) :args (@t26 @t28 (@list @t9 @t23 @t27))) % 0.36/0.59 (step @p30 :rule instantiate :premises (@p15) :args ((@list tptp.e_3 tptp.e_1 tptp.e_1 tptp.e_1))) % 0.36/0.59 (step @p31 :rule instantiate :premises (@p16) :args ((@list tptp.e_1))) % 0.36/0.59 (step @p32 :rule cnf_or_pos :args (@t33)) % 0.36/0.59 (step @p33 :rule reordering :premises (@p32) :args ((or @t11 @t30 @t32 (not @t33)))) % 0.36/0.59 (step @p34 :rule chain_m_resolution :premises (@p33 @p10 @p31 @p30) :args (@t32 @t28 (@list @t11 @t29 @t33))) % 0.36/0.59 (step @p35 :rule cnf_or_pos :args (@t37)) % 0.36/0.59 (step @p36 :rule reordering :premises (@p35) :args ((or @t35 @t36 @t31 @t34 @t25 (not @t37)))) % 0.36/0.59 (step @p37 :rule chain_m_resolution :premises (@p36 @p3 @p5 @p34 @p29 @p24) :args (@t34 @t38 (@list @t6 @t8 @t31 @t25 @t37))) % 0.36/0.59 (step @p38 :rule instantiate :premises (@p12) :args ((@list tptp.e_2 tptp.e_1))) % 0.36/0.59 (step @p39 :rule instantiate :premises (@p15) :args ((@list tptp.e_3 tptp.e_1 tptp.e_2 tptp.e_2))) % 0.36/0.59 (step @p40 :rule cnf_or_pos :args (@t42)) % 0.36/0.59 (step @p41 :rule reordering :premises (@p40) :args ((or @t12 @t40 @t41 (not @t42)))) % 0.36/0.59 (step @p42 :rule chain_m_resolution :premises (@p41 @p11 @p37 @p39) :args (@t40 @t28 (@list @t12 @t34 @t42))) % 0.36/0.59 (step @p43 :rule instantiate :premises (@p15) :args ((@list tptp.e_2 tptp.e_1 tptp.e_1 tptp.e_1))) % 0.36/0.59 (step @p44 :rule cnf_or_pos :args (@t45)) % 0.36/0.59 (step @p45 :rule reordering :premises (@p44) :args ((or @t10 @t30 @t44 (not @t45)))) % 0.36/0.59 (step @p46 :rule chain_m_resolution :premises (@p45 @p8 @p31 @p43) :args (@t44 @t28 (@list @t10 @t29 @t45))) % 0.36/0.59 (step @p47 :rule cnf_or_pos :args (@t48)) % 0.36/0.59 (step @p48 :rule reordering :premises (@p47) :args ((or @t35 @t47 @t43 @t39 @t46 (not @t48)))) % 0.36/0.59 (step @p49 :rule chain_m_resolution :premises (@p48 @p3 @p4 @p46 @p42 @p38) :args (@t46 @t38 (@list @t6 @t7 @t43 @t39 @t48))) % 0.36/0.59 (step @p50 :rule cnf_or_pos :args (@t51)) % 0.36/0.59 (step @p51 :rule reordering :premises (@p50) :args ((or @t50 @t41 @t49 (not @t51)))) % 0.36/0.59 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p37 @p23) :args (@t49 (@list false false false) (@list @t46 @t34 @t51))) % 0.36/0.59 (step @p53 :rule instantiate :premises (@p21) :args ((@list tptp.e_2))) % 0.36/0.59 (step @p54 :rule cnf_or_pos :args (@t55)) % 0.36/0.59 (step @p55 :rule reordering :premises (@p54) :args ((or @t10 @t54 @t52 @t56))) % 0.36/0.59 (step @p56 :rule chain_m_resolution :premises (@p55 @p8 @p53 @p52) :args (@t56 @t28 (@list @t10 @t53 @t49))) % 0.36/0.59 (assume-push @p63 @t20) % 0.36/0.59 (step @p58 :rule instantiate :premises (@p18) :args ((@list tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_1))) % 0.36/0.59 (step-pop @p64 :rule scope :premises (@p58)) % 0.36/0.59 (step @p59 :rule process_scope :premises (@p64) :args (@t55)) % 0.36/0.59 (step @p61 :rule implies_elim :premises (@p59)) % 0.36/0.59 (step @p62 false :rule chain_m_resolution :premises (@p61 @p56 @p18) :args (false (@list true false) (@list @t55 @t20))) % 0.36/0.59 ) % 0.36/0.59 % SZS output end Proof % 0.36/0.59 % cvc5 exiting %------------------------------------------------------------------------------