%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP123-3.003 : 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 : n015.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 08:19:48 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.60s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP123-3.003 : 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 % 0.17/0.34 % Computer : n015.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 00:51:19 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.60 % SZS status Unsatisfiable % 0.37/0.60 % SZS output start Proof % 0.37/0.60 ( % 0.37/0.60 (declare-sort $$unsorted 0) % 0.37/0.60 (declare-const tptp.cycle (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.group_element (-> $$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_1 tptp.e_3)) % 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 () (tptp.equalish @t10 @t1)) % 0.37/0.60 (define @t23 () (forall @t7 (tptp.product @t3 @t3 @t3))) % 0.37/0.60 (define @t24 () (@var "X2" $$unsorted)) % 0.37/0.60 (define @t25 () (@var "Y2" $$unsorted)) % 0.37/0.60 (define @t26 () (not (tptp.product @t11 @t25 @t24))) % 0.37/0.60 (define @t27 () (@var "Y1" $$unsorted)) % 0.37/0.60 (define @t28 () (not (tptp.product @t11 @t27 @t14))) % 0.37/0.60 (define @t29 () (not (tptp.product @t24 @t25 @t8))) % 0.37/0.60 (define @t30 () (not (tptp.product @t14 @t27 @t8))) % 0.37/0.60 (define @t31 () (@list @t14 @t27 @t8 @t24 @t25 @t11)) % 0.37/0.60 (define @t32 () (tptp.product tptp.e_3 tptp.e_3 tptp.e_3)) % 0.37/0.60 (define @t33 () (not @t32)) % 0.37/0.60 (define @t34 () (tptp.product tptp.e_3 tptp.e_1 tptp.e_3)) % 0.37/0.60 (define @t35 () (not @t34)) % 0.37/0.60 (define @t36 () (or @t35 @t33 @t19)) % 0.37/0.60 (define @t37 () (@list true false false)) % 0.37/0.60 (define @t38 () (tptp.product tptp.e_2 tptp.e_2 tptp.e_2)) % 0.37/0.60 (define @t39 () (not @t38)) % 0.37/0.60 (define @t40 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_2)) % 0.37/0.60 (define @t41 () (not @t40)) % 0.37/0.60 (define @t42 () (or @t41 @t39 @t18)) % 0.37/0.60 (define @t43 () (tptp.product tptp.e_2 tptp.e_3 tptp.e_3)) % 0.37/0.60 (define @t44 () (not @t43)) % 0.37/0.60 (define @t45 () (or @t44 @t33 @t20)) % 0.37/0.60 (define @t46 () (tptp.product tptp.e_2 tptp.e_3 tptp.e_2)) % 0.37/0.60 (define @t47 () (not @t46)) % 0.37/0.60 (define @t48 () (or @t39 @t47 @t20)) % 0.37/0.60 (define @t49 () (tptp.product tptp.e_2 tptp.e_3 tptp.e_1)) % 0.37/0.60 (define @t50 () (not @t17)) % 0.37/0.60 (define @t51 () (not @t16)) % 0.37/0.60 (define @t52 () (or @t51 @t50 @t49 @t46 @t43)) % 0.37/0.60 (define @t53 () (@list false false true true false)) % 0.37/0.60 (define @t54 () (not @t49)) % 0.37/0.60 (define @t55 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_1)) % 0.37/0.60 (define @t56 () (not @t55)) % 0.37/0.60 (define @t57 () (or @t56 @t54 @t19)) % 0.37/0.60 (define @t58 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_3)) % 0.37/0.60 (define @t59 () (not @t15)) % 0.37/0.60 (define @t60 () (or @t51 @t59 @t55 @t40 @t58)) % 0.37/0.60 (define @t61 () (tptp.product tptp.e_3 tptp.e_1 tptp.e_2)) % 0.37/0.60 (define @t62 () (not @t61)) % 0.37/0.60 (define @t63 () (not @t58)) % 0.37/0.60 (define @t64 () (or @t33 @t63 @t33 @t62 @t21)) % 0.37/0.60 (define @t65 () (tptp.product tptp.e_3 tptp.e_1 tptp.e_1)) % 0.37/0.60 (define @t66 () (or @t50 @t59 @t65 @t61 @t34)) % 0.37/0.60 (define @t67 () (not @t65)) % 0.37/0.60 (define @t68 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_1)) % 0.37/0.60 (define @t69 () (not @t68)) % 0.37/0.60 (define @t70 () (or @t69 @t67 @t19)) % 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 @t19)) % 0.37/0.60 (assume @p22 (not (tptp.equalish tptp.e_2 tptp.e_1))) % 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 (not (tptp.group_element @t2)) (tptp.product @t3 @t2 tptp.e_1) (tptp.product @t3 @t2 tptp.e_2) (tptp.product @t3 @t2 tptp.e_3)))) % 0.37/0.60 (assume @p27 (forall (@list @t3 @t2 @t10 @t1) (or (not (tptp.product @t3 @t2 @t10)) (not (tptp.product @t3 @t2 @t1)) @t22))) % 0.37/0.60 (assume @p28 (forall (@list @t3 @t10 @t2 @t1) (or (not (tptp.product @t3 @t10 @t2)) (not (tptp.product @t3 @t1 @t2)) @t22))) % 0.37/0.60 (assume @p29 (forall (@list @t10 @t2 @t3 @t1) (or (not (tptp.product @t10 @t2 @t3)) (not (tptp.product @t1 @t2 @t3)) @t22))) % 0.37/0.60 (assume @p30 @t23) % 0.37/0.60 (assume @p31 (forall @t31 (or @t30 @t29 @t28 @t26 (tptp.equalish @t14 @t24)))) % 0.37/0.60 (assume @p32 (forall @t31 (or @t30 @t29 @t28 @t26 (tptp.equalish @t27 @t25)))) % 0.37/0.60 (step @p33 :rule instantiate :premises (@p29) :args ((@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_3))) % 0.37/0.60 (step @p34 :rule instantiate :premises (@p26) :args ((@list tptp.e_3 tptp.e_1))) % 0.37/0.60 (step @p35 :rule instantiate :premises (@p28) :args ((@list tptp.e_3 tptp.e_1 tptp.e_3 tptp.e_3))) % 0.37/0.60 (step @p36 :rule instantiate :premises (@p30) :args ((@list tptp.e_3))) % 0.37/0.60 (step @p37 :rule cnf_or_pos :args (@t36)) % 0.37/0.60 (step @p38 :rule reordering :premises (@p37) :args ((or @t19 @t35 @t33 (not @t36)))) % 0.37/0.60 (step @p39 :rule chain_m_resolution :premises (@p38 @p21 @p36 @p35) :args (@t35 @t37 (@list @t19 @t32 @t36))) % 0.37/0.60 (step @p40 :rule instantiate :premises (@p31) :args ((@list tptp.e_3 tptp.e_3 tptp.e_3 tptp.e_2 tptp.e_1 tptp.e_3))) % 0.37/0.60 (step @p41 :rule instantiate :premises (@p26) :args ((@list tptp.e_2 tptp.e_1))) % 0.37/0.60 (step @p42 :rule instantiate :premises (@p28) :args ((@list tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_2))) % 0.37/0.60 (step @p43 :rule instantiate :premises (@p30) :args ((@list tptp.e_2))) % 0.37/0.60 (step @p44 :rule cnf_or_pos :args (@t42)) % 0.37/0.60 (step @p45 :rule reordering :premises (@p44) :args ((or @t18 @t41 @t39 (not @t42)))) % 0.37/0.60 (step @p46 :rule chain_m_resolution :premises (@p45 @p20 @p43 @p42) :args (@t41 @t37 (@list @t18 @t38 @t42))) % 0.37/0.60 (step @p47 :rule instantiate :premises (@p28) :args ((@list tptp.e_2 tptp.e_1 tptp.e_1 tptp.e_3))) % 0.37/0.60 (step @p48 :rule instantiate :premises (@p26) :args ((@list tptp.e_2 tptp.e_3))) % 0.37/0.60 (step @p49 :rule instantiate :premises (@p29) :args ((@list tptp.e_2 tptp.e_3 tptp.e_3 tptp.e_3))) % 0.37/0.60 (step @p50 :rule cnf_or_pos :args (@t45)) % 0.37/0.60 (step @p51 :rule reordering :premises (@p50) :args ((or @t20 @t44 @t33 (not @t45)))) % 0.37/0.60 (step @p52 :rule chain_m_resolution :premises (@p51 @p23 @p36 @p49) :args (@t44 @t37 (@list @t20 @t32 @t45))) % 0.37/0.60 (step @p53 :rule instantiate :premises (@p28) :args ((@list tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_3))) % 0.37/0.60 (step @p54 :rule cnf_or_pos :args (@t48)) % 0.37/0.60 (step @p55 :rule reordering :premises (@p54) :args ((or @t20 @t39 @t47 (not @t48)))) % 0.37/0.60 (step @p56 :rule chain_m_resolution :premises (@p55 @p23 @p43 @p53) :args (@t47 @t37 (@list @t20 @t38 @t48))) % 0.37/0.60 (step @p57 :rule cnf_or_pos :args (@t52)) % 0.37/0.60 (step @p58 :rule reordering :premises (@p57) :args ((or @t51 @t50 @t49 @t46 @t43 (not @t52)))) % 0.37/0.60 (step @p59 :rule chain_m_resolution :premises (@p58 @p18 @p19 @p56 @p52 @p48) :args (@t49 @t53 (@list @t16 @t17 @t46 @t43 @t52))) % 0.37/0.60 (step @p60 :rule cnf_or_pos :args (@t57)) % 0.37/0.60 (step @p61 :rule reordering :premises (@p60) :args ((or @t19 @t56 @t54 (not @t57)))) % 0.37/0.60 (step @p62 :rule chain_m_resolution :premises (@p61 @p21 @p59 @p47) :args (@t56 @t37 (@list @t19 @t49 @t57))) % 0.37/0.60 (step @p63 :rule cnf_or_pos :args (@t60)) % 0.37/0.60 (step @p64 :rule reordering :premises (@p63) :args ((or @t59 @t51 @t58 @t55 @t40 (not @t60)))) % 0.37/0.60 (step @p65 :rule chain_m_resolution :premises (@p64 @p17 @p18 @p62 @p46 @p41) :args (@t58 @t53 (@list @t15 @t16 @t55 @t40 @t60))) % 0.37/0.60 (step @p66 :rule cnf_or_pos :args (@t64)) % 0.37/0.60 (step @p67 :rule factoring :premises (@p66)) % 0.37/0.60 (step @p68 :rule reordering :premises (@p67) :args ((or @t21 @t63 @t62 @t33 (not @t64)))) % 0.37/0.60 (step @p69 :rule chain_m_resolution :premises (@p68 @p25 @p65 @p36 @p40) :args (@t62 (@list true false false false) (@list @t21 @t58 @t32 @t64))) % 0.37/0.60 (step @p70 :rule cnf_or_pos :args (@t66)) % 0.37/0.60 (step @p71 :rule reordering :premises (@p70) :args ((or @t59 @t50 @t65 @t61 @t34 (not @t66)))) % 0.37/0.60 (step @p72 :rule chain_m_resolution :premises (@p71 @p17 @p19 @p69 @p39 @p34) :args (@t65 @t53 (@list @t15 @t17 @t61 @t34 @t66))) % 0.37/0.60 (step @p73 :rule cnf_or_pos :args (@t70)) % 0.37/0.60 (step @p74 :rule reordering :premises (@p73) :args ((or @t19 @t69 @t67 (not @t70)))) % 0.37/0.60 (step @p75 :rule chain_m_resolution :premises (@p74 @p21 @p72 @p33) :args (@t69 @t37 (@list @t19 @t65 @t70))) % 0.37/0.60 (assume-push @p82 @t23) % 0.37/0.60 (step @p77 :rule instantiate :premises (@p30) :args ((@list tptp.e_1))) % 0.37/0.60 (step-pop @p83 :rule scope :premises (@p77)) % 0.37/0.60 (step @p78 :rule process_scope :premises (@p83) :args (@t68)) % 0.37/0.60 (step @p80 :rule implies_elim :premises (@p78)) % 0.37/0.60 (step @p81 false :rule chain_m_resolution :premises (@p80 @p75 @p30) :args (false (@list true false) (@list @t68 @t23))) % 0.37/0.60 ) % 0.37/0.61 % SZS output end Proof % 0.37/0.61 % cvc5 exiting %------------------------------------------------------------------------------