%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP123-8.003 : 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 : n011.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 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP123-8.003 : TPTP v9.2.1. Released v1.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n011.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 00:51:20 EDT 2026 % 0.15/0.33 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.59 % SZS status Unsatisfiable % 0.37/0.59 % SZS output start Proof % 0.37/0.60 ( % 0.37/0.60 (declare-sort $$unsorted 0) % 0.37/0.60 (declare-const tptp.product1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.cycle (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.product2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.group_element (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.e_2 $$unsorted) % 0.37/0.60 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.next (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.e_0 $$unsorted) % 0.37/0.60 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.e_3 $$unsorted) % 0.37/0.60 (declare-const tptp.e_1 $$unsorted) % 0.37/0.60 (define @t1 () (@var "Z" $$unsorted)) % 0.37/0.60 (define @t2 () (@var "Y" $$unsorted)) % 0.37/0.60 (define @t3 () (@var "X" $$unsorted)) % 0.37/0.60 (define @t4 () (not (tptp.cycle @t3 @t2))) % 0.37/0.60 (define @t5 () (tptp.cycle @t3 tptp.e_0)) % 0.37/0.60 (define @t6 () (not (tptp.group_element @t3))) % 0.37/0.60 (define @t7 () (@list @t3)) % 0.37/0.60 (define @t8 () (@var "Z1" $$unsorted)) % 0.37/0.60 (define @t9 () (not (tptp.greater @t2 tptp.e_0))) % 0.37/0.60 (define @t10 () (@var "W" $$unsorted)) % 0.37/0.60 (define @t11 () (@var "Z2" $$unsorted)) % 0.37/0.60 (define @t12 () (not (tptp.greater @t2 @t3))) % 0.37/0.60 (define @t13 () (@list @t3 @t2)) % 0.37/0.60 (define @t14 () (@var "X1" $$unsorted)) % 0.37/0.60 (define @t15 () (tptp.group_element tptp.e_1)) % 0.37/0.60 (define @t16 () (tptp.group_element tptp.e_2)) % 0.37/0.60 (define @t17 () (tptp.group_element tptp.e_3)) % 0.37/0.60 (define @t18 () (tptp.equalish tptp.e_1 tptp.e_2)) % 0.37/0.60 (define @t19 () (tptp.equalish tptp.e_2 tptp.e_1)) % 0.37/0.60 (define @t20 () (tptp.equalish tptp.e_2 tptp.e_3)) % 0.37/0.60 (define @t21 () (tptp.equalish tptp.e_3 tptp.e_2)) % 0.37/0.60 (define @t22 () (not (tptp.group_element @t2))) % 0.37/0.60 (define @t23 () (tptp.equalish @t10 @t1)) % 0.37/0.60 (define @t24 () (@list @t3 @t2 @t10 @t1)) % 0.37/0.60 (define @t25 () (@list @t3 @t10 @t2 @t1)) % 0.37/0.60 (define @t26 () (forall @t25 (or (not (tptp.product1 @t3 @t10 @t2)) (not (tptp.product1 @t3 @t1 @t2)) @t23))) % 0.37/0.60 (define @t27 () (@list @t10 @t2 @t3 @t1)) % 0.37/0.60 (define @t28 () (tptp.product1 tptp.e_3 tptp.e_2 tptp.e_2)) % 0.37/0.60 (define @t29 () (not @t28)) % 0.37/0.60 (define @t30 () (tptp.product1 tptp.e_2 tptp.e_2 tptp.e_2)) % 0.37/0.60 (define @t31 () (not @t30)) % 0.37/0.60 (define @t32 () (or @t31 @t29 @t20)) % 0.37/0.60 (define @t33 () (@list true false false)) % 0.37/0.60 (define @t34 () (tptp.product1 tptp.e_1 tptp.e_2 tptp.e_2)) % 0.37/0.60 (define @t35 () (not @t34)) % 0.37/0.60 (define @t36 () (or @t31 @t35 @t19)) % 0.37/0.60 (define @t37 () (@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2)) % 0.37/0.60 (define @t38 () (@list tptp.e_1)) % 0.37/0.60 (define @t39 () (tptp.product1 tptp.e_1 tptp.e_2 tptp.e_1)) % 0.37/0.60 (define @t40 () (not @t39)) % 0.37/0.60 (define @t41 () (tptp.product1 tptp.e_1 tptp.e_1 tptp.e_1)) % 0.37/0.60 (define @t42 () (not @t41)) % 0.37/0.60 (define @t43 () (or @t42 @t40 @t18)) % 0.37/0.60 (define @t44 () (tptp.product1 tptp.e_1 tptp.e_2 tptp.e_3)) % 0.37/0.60 (define @t45 () (not @t16)) % 0.37/0.60 (define @t46 () (not @t15)) % 0.37/0.60 (define @t47 () (or @t46 @t45 @t39 @t34 @t44)) % 0.37/0.60 (define @t48 () (@list false false true true false)) % 0.37/0.60 (define @t49 () (tptp.product2 tptp.e_1 tptp.e_1 tptp.e_2)) % 0.37/0.60 (define @t50 () (not @t49)) % 0.37/0.60 (define @t51 () (tptp.product2 tptp.e_1 tptp.e_1 tptp.e_1)) % 0.37/0.60 (define @t52 () (not @t51)) % 0.37/0.60 (define @t53 () (or @t52 @t50 @t18)) % 0.37/0.60 (define @t54 () (tptp.product1 tptp.e_3 tptp.e_2 tptp.e_1)) % 0.37/0.60 (define @t55 () (not @t54)) % 0.37/0.60 (define @t56 () (not @t44)) % 0.37/0.60 (define @t57 () (or @t56 @t55 @t49)) % 0.37/0.60 (define @t58 () (tptp.product1 tptp.e_3 tptp.e_2 tptp.e_3)) % 0.37/0.60 (define @t59 () (not @t17)) % 0.37/0.60 (define @t60 () (or @t59 @t45 @t54 @t28 @t58)) % 0.37/0.60 (define @t61 () (not @t58)) % 0.37/0.60 (define @t62 () (tptp.product1 tptp.e_3 tptp.e_3 tptp.e_3)) % 0.37/0.60 (define @t63 () (not @t62)) % 0.37/0.60 (define @t64 () (or @t63 @t61 @t21)) % 0.37/0.60 (define @t65 () (not @t64)) % 0.37/0.60 (assume @p1 (tptp.next tptp.e_0 tptp.e_1)) % 0.37/0.60 (assume @p2 (tptp.next tptp.e_1 tptp.e_2)) % 0.37/0.60 (assume @p3 (tptp.next tptp.e_2 tptp.e_3)) % 0.37/0.60 (assume @p4 (tptp.greater tptp.e_1 tptp.e_0)) % 0.37/0.60 (assume @p5 (tptp.greater tptp.e_2 tptp.e_0)) % 0.37/0.60 (assume @p6 (tptp.greater tptp.e_3 tptp.e_0)) % 0.37/0.60 (assume @p7 (tptp.greater tptp.e_2 tptp.e_1)) % 0.37/0.60 (assume @p8 (tptp.greater tptp.e_3 tptp.e_1)) % 0.37/0.60 (assume @p9 (tptp.greater tptp.e_3 tptp.e_2)) % 0.37/0.60 (assume @p10 (forall (@list @t3 @t2 @t1) (or @t4 (not (tptp.cycle @t3 @t1)) (tptp.equalish @t2 @t1)))) % 0.37/0.60 (assume @p11 (forall @t7 (or @t6 @t5 (tptp.cycle @t3 tptp.e_1) (tptp.cycle @t3 tptp.e_2)))) % 0.37/0.60 (assume @p12 (tptp.cycle tptp.e_3 tptp.e_0)) % 0.37/0.60 (assume @p13 (forall (@list @t3 @t2 @t10 @t1 @t8) (or @t4 (not (tptp.cycle @t10 @t1)) (not (tptp.next @t3 @t10)) @t9 (not (tptp.next @t1 @t8)) (tptp.equalish @t2 @t8)))) % 0.37/0.60 (assume @p14 (forall (@list @t3 @t8 @t2 @t10 @t11) (or (not (tptp.cycle @t3 @t8)) (not (tptp.cycle @t2 tptp.e_0)) (not (tptp.cycle @t10 @t11)) (not (tptp.next @t2 @t10)) @t12 (not (tptp.greater @t8 @t11))))) % 0.37/0.60 (assume @p15 (forall @t13 (or (not @t5) (not (tptp.product @t3 tptp.e_1 @t2)) @t12))) % 0.37/0.60 (assume @p16 (forall (@list @t3 @t2 @t1 @t14) (or @t4 (not (tptp.product @t3 tptp.e_1 @t1)) @t9 (not (tptp.next @t3 @t14)) (tptp.equalish @t1 @t14)))) % 0.37/0.60 (assume @p17 @t15) % 0.37/0.60 (assume @p18 @t16) % 0.37/0.60 (assume @p19 @t17) % 0.37/0.60 (assume @p20 (not @t18)) % 0.37/0.60 (assume @p21 (not (tptp.equalish tptp.e_1 tptp.e_3))) % 0.37/0.60 (assume @p22 (not @t19)) % 0.37/0.60 (assume @p23 (not @t20)) % 0.37/0.60 (assume @p24 (not (tptp.equalish tptp.e_3 tptp.e_1))) % 0.37/0.60 (assume @p25 (not @t21)) % 0.37/0.60 (assume @p26 (forall @t13 (or @t6 @t22 (tptp.product1 @t3 @t2 tptp.e_1) (tptp.product1 @t3 @t2 tptp.e_2) (tptp.product1 @t3 @t2 tptp.e_3)))) % 0.37/0.60 (assume @p27 (forall @t24 (or (not (tptp.product1 @t3 @t2 @t10)) (not (tptp.product1 @t3 @t2 @t1)) @t23))) % 0.37/0.60 (assume @p28 @t26) % 0.37/0.60 (assume @p29 (forall @t27 (or (not (tptp.product1 @t10 @t2 @t3)) (not (tptp.product1 @t1 @t2 @t3)) @t23))) % 0.37/0.60 (assume @p30 (forall @t7 (tptp.product1 @t3 @t3 @t3))) % 0.37/0.60 (assume @p31 (forall @t13 (or @t6 @t22 (tptp.product2 @t3 @t2 tptp.e_1) (tptp.product2 @t3 @t2 tptp.e_2) (tptp.product2 @t3 @t2 tptp.e_3)))) % 0.37/0.60 (assume @p32 (forall @t24 (or (not (tptp.product2 @t3 @t2 @t10)) (not (tptp.product2 @t3 @t2 @t1)) @t23))) % 0.37/0.60 (assume @p33 (forall @t25 (or (not (tptp.product2 @t3 @t10 @t2)) (not (tptp.product2 @t3 @t1 @t2)) @t23))) % 0.37/0.60 (assume @p34 (forall @t27 (or (not (tptp.product2 @t10 @t2 @t3)) (not (tptp.product2 @t1 @t2 @t3)) @t23))) % 0.37/0.60 (assume @p35 (forall @t7 (tptp.product2 @t3 @t3 @t3))) % 0.37/0.60 (assume @p36 (forall (@list @t3 @t2 @t8 @t11) (or (not (tptp.product1 @t3 @t2 @t8)) (not (tptp.product1 @t8 @t2 @t11)) (tptp.product2 @t11 @t3 @t2)))) % 0.37/0.60 (step @p37 :rule instantiate :premises (@p26) :args ((@list tptp.e_3 tptp.e_2))) % 0.37/0.60 (step @p38 :rule instantiate :premises (@p29) :args ((@list tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_3))) % 0.37/0.60 (step @p39 :rule instantiate :premises (@p30) :args ((@list tptp.e_2))) % 0.37/0.60 (step @p40 :rule cnf_or_pos :args (@t32)) % 0.37/0.60 (step @p41 :rule reordering :premises (@p40) :args ((or @t20 @t31 @t29 (not @t32)))) % 0.37/0.60 (step @p42 :rule chain_m_resolution :premises (@p41 @p23 @p39 @p38) :args (@t29 @t33 (@list @t20 @t30 @t32))) % 0.37/0.60 (step @p43 :rule instantiate :premises (@p36) :args ((@list tptp.e_1 tptp.e_2 tptp.e_3 tptp.e_1))) % 0.37/0.60 (step @p44 :rule instantiate :premises (@p26) :args ((@list tptp.e_1 tptp.e_2))) % 0.37/0.60 (step @p45 :rule instantiate :premises (@p29) :args ((@list tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_1))) % 0.37/0.60 (step @p46 :rule cnf_or_pos :args (@t36)) % 0.37/0.60 (step @p47 :rule reordering :premises (@p46) :args ((or @t19 @t31 @t35 (not @t36)))) % 0.37/0.60 (step @p48 :rule chain_m_resolution :premises (@p47 @p22 @p39 @p45) :args (@t35 @t33 (@list @t19 @t30 @t36))) % 0.37/0.60 (step @p49 :rule instantiate :premises (@p28) :args (@t37)) % 0.37/0.60 (step @p50 :rule instantiate :premises (@p30) :args (@t38)) % 0.37/0.60 (step @p51 :rule cnf_or_pos :args (@t43)) % 0.37/0.60 (step @p52 :rule reordering :premises (@p51) :args ((or @t18 @t42 @t40 (not @t43)))) % 0.37/0.60 (step @p53 :rule chain_m_resolution :premises (@p52 @p20 @p50 @p49) :args (@t40 @t33 (@list @t18 @t41 @t43))) % 0.37/0.60 (step @p54 :rule cnf_or_pos :args (@t47)) % 0.37/0.60 (step @p55 :rule reordering :premises (@p54) :args ((or @t46 @t45 @t39 @t34 @t44 (not @t47)))) % 0.37/0.60 (step @p56 :rule chain_m_resolution :premises (@p55 @p17 @p18 @p53 @p48 @p44) :args (@t44 @t48 (@list @t15 @t16 @t39 @t34 @t47))) % 0.37/0.60 (step @p57 :rule instantiate :premises (@p32) :args (@t37)) % 0.37/0.60 (step @p58 :rule instantiate :premises (@p35) :args (@t38)) % 0.37/0.60 (step @p59 :rule cnf_or_pos :args (@t53)) % 0.37/0.60 (step @p60 :rule reordering :premises (@p59) :args ((or @t18 @t52 @t50 (not @t53)))) % 0.37/0.60 (step @p61 :rule chain_m_resolution :premises (@p60 @p20 @p58 @p57) :args (@t50 @t33 (@list @t18 @t51 @t53))) % 0.37/0.60 (step @p62 :rule cnf_or_pos :args (@t57)) % 0.37/0.60 (step @p63 :rule reordering :premises (@p62) :args ((or @t49 @t56 @t55 (not @t57)))) % 0.37/0.60 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p56 @p43) :args (@t55 @t33 (@list @t49 @t44 @t57))) % 0.37/0.60 (step @p65 :rule cnf_or_pos :args (@t60)) % 0.37/0.60 (step @p66 :rule reordering :premises (@p65) :args ((or @t45 @t59 @t54 @t28 @t58 (not @t60)))) % 0.37/0.60 (step @p67 :rule chain_m_resolution :premises (@p66 @p18 @p19 @p64 @p42 @p37) :args (@t58 @t48 (@list @t16 @t17 @t54 @t28 @t60))) % 0.37/0.60 (step @p68 :rule instantiate :premises (@p30) :args ((@list tptp.e_3))) % 0.37/0.60 (step @p69 :rule cnf_or_pos :args (@t64)) % 0.37/0.60 (step @p70 :rule reordering :premises (@p69) :args ((or @t21 @t63 @t61 @t65))) % 0.37/0.60 (step @p71 :rule chain_m_resolution :premises (@p70 @p25 @p68 @p67) :args (@t65 @t33 (@list @t21 @t62 @t58))) % 0.37/0.60 (assume-push @p78 @t26) % 0.37/0.60 (step @p73 :rule instantiate :premises (@p28) :args ((@list tptp.e_3 tptp.e_3 tptp.e_3 tptp.e_2))) % 0.37/0.60 (step-pop @p79 :rule scope :premises (@p73)) % 0.37/0.60 (step @p74 :rule process_scope :premises (@p79) :args (@t64)) % 0.37/0.60 (step @p76 :rule implies_elim :premises (@p74)) % 0.37/0.60 (step @p77 false :rule chain_m_resolution :premises (@p76 @p71 @p28) :args (false (@list true false) (@list @t64 @t26))) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------