%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP128-4.003 : TPTP v9.2.1. Bugfixed v1.2.1. % 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 08:19:55 AM UTC 2026 % Result : Unsatisfiable 0.40s 0.58s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP128-4.003 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.33 % Computer : n016.cluster.edu % 0.17/0.33 % Model : x86_64 x86_64 % 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.33 % Memory : 8042.1875MB % 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.33 % CPULimit : 300 % 0.17/0.33 % WCLimit : 300 % 0.17/0.33 % DateTime : Tue Jun 2 00:53:39 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.58 % SZS status Unsatisfiable % 0.40/0.58 % SZS output start Proof % 0.40/0.59 ( % 0.40/0.59 (declare-sort $$unsorted 0) % 0.40/0.59 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.group_element (-> $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.e_1 $$unsorted) % 0.40/0.59 (declare-const tptp.e_2 $$unsorted) % 0.40/0.59 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.e_3 $$unsorted) % 0.40/0.59 (define @t1 () (@var "Y" $$unsorted)) % 0.40/0.59 (define @t2 () (@var "X" $$unsorted)) % 0.40/0.59 (define @t3 () (not (tptp.group_element @t1))) % 0.40/0.59 (define @t4 () (not (tptp.group_element @t2))) % 0.40/0.59 (define @t5 () (@list @t2 @t1)) % 0.40/0.59 (define @t6 () (@var "Z2" $$unsorted)) % 0.40/0.59 (define @t7 () (@var "Z1" $$unsorted)) % 0.40/0.59 (define @t8 () (tptp.product @t7 @t1 @t6)) % 0.40/0.59 (define @t9 () (not @t8)) % 0.40/0.59 (define @t10 () (tptp.product @t2 @t7 @t6)) % 0.40/0.59 (define @t11 () (not @t10)) % 0.40/0.59 (define @t12 () (tptp.product @t2 @t1 @t7)) % 0.40/0.59 (define @t13 () (@list @t2 @t1 @t7 @t6)) % 0.40/0.59 (define @t14 () (not @t12)) % 0.40/0.59 (define @t15 () (tptp.group_element tptp.e_1)) % 0.40/0.59 (define @t16 () (tptp.group_element tptp.e_2)) % 0.40/0.59 (define @t17 () (tptp.group_element tptp.e_3)) % 0.40/0.59 (define @t18 () (tptp.equalish tptp.e_1 tptp.e_2)) % 0.40/0.59 (define @t19 () (tptp.equalish tptp.e_2 tptp.e_1)) % 0.40/0.59 (define @t20 () (tptp.equalish tptp.e_3 tptp.e_1)) % 0.40/0.59 (define @t21 () (tptp.equalish tptp.e_3 tptp.e_2)) % 0.40/0.59 (define @t22 () (@var "Z" $$unsorted)) % 0.40/0.59 (define @t23 () (@var "W" $$unsorted)) % 0.40/0.59 (define @t24 () (tptp.equalish @t23 @t22)) % 0.40/0.59 (define @t25 () (@list tptp.e_1 tptp.e_2)) % 0.40/0.59 (define @t26 () (@list tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_1)) % 0.40/0.59 (define @t27 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_2)) % 0.40/0.59 (define @t28 () (not @t27)) % 0.40/0.59 (define @t29 () (tptp.product tptp.e_2 tptp.e_2 tptp.e_2)) % 0.40/0.59 (define @t30 () (or @t29 @t28 @t28)) % 0.40/0.59 (define @t31 () (not @t29)) % 0.40/0.59 (define @t32 () (or @t31 @t28 @t19)) % 0.40/0.59 (define @t33 () (@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2)) % 0.40/0.59 (define @t34 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_2)) % 0.40/0.59 (define @t35 () (not @t34)) % 0.40/0.59 (define @t36 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_1)) % 0.40/0.59 (define @t37 () (or @t36 @t35 @t35)) % 0.40/0.59 (define @t38 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_3)) % 0.40/0.59 (define @t39 () (not @t38)) % 0.40/0.59 (define @t40 () (or @t36 @t39 @t39)) % 0.40/0.59 (define @t41 () (not @t15)) % 0.40/0.59 (define @t42 () (or @t41 @t41 @t36 @t34 @t38)) % 0.40/0.59 (define @t43 () (not @t36)) % 0.40/0.59 (define @t44 () (or @t43 @t35 @t18)) % 0.40/0.59 (define @t45 () (@list true false false)) % 0.40/0.59 (define @t46 () (tptp.product tptp.e_1 tptp.e_3 tptp.e_2)) % 0.40/0.59 (define @t47 () (not @t16)) % 0.40/0.59 (define @t48 () (or @t41 @t47 @t34 @t27 @t46)) % 0.40/0.59 (define @t49 () (@list false false true true false)) % 0.40/0.59 (define @t50 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_1)) % 0.40/0.59 (define @t51 () (not @t50)) % 0.40/0.59 (define @t52 () (or @t43 @t51 @t18)) % 0.40/0.59 (define @t53 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_3)) % 0.40/0.59 (define @t54 () (or @t41 @t47 @t50 @t27 @t53)) % 0.40/0.59 (define @t55 () (not @t46)) % 0.40/0.59 (define @t56 () (not @t53)) % 0.40/0.59 (define @t57 () (tptp.product tptp.e_2 tptp.e_3 tptp.e_3)) % 0.40/0.59 (define @t58 () (or @t57 @t56 @t55)) % 0.40/0.59 (define @t59 () (tptp.product tptp.e_2 tptp.e_3 tptp.e_1)) % 0.40/0.59 (define @t60 () (not @t59)) % 0.40/0.59 (define @t61 () (or @t55 @t60 @t50)) % 0.40/0.59 (define @t62 () (tptp.product tptp.e_1 tptp.e_3 tptp.e_1)) % 0.40/0.59 (define @t63 () (not @t62)) % 0.40/0.59 (define @t64 () (or @t63 @t43 @t20)) % 0.40/0.59 (define @t65 () (tptp.product tptp.e_3 tptp.e_3 tptp.e_1)) % 0.40/0.59 (define @t66 () (not @t17)) % 0.40/0.59 (define @t67 () (or @t66 @t41 @t62 @t59 @t65)) % 0.40/0.59 (define @t68 () (not @t65)) % 0.40/0.59 (define @t69 () (tptp.product tptp.e_3 tptp.e_3 tptp.e_3)) % 0.40/0.59 (define @t70 () (or @t69 @t68 @t68)) % 0.40/0.59 (define @t71 () (not @t57)) % 0.40/0.59 (define @t72 () (not @t69)) % 0.40/0.59 (define @t73 () (or @t72 @t71 @t21)) % 0.40/0.59 (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)))) % 0.40/0.59 (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)))) % 0.40/0.59 (assume @p3 (forall @t13 (or @t12 @t11 @t9))) % 0.40/0.59 (assume @p4 (forall (@list @t7 @t1 @t6 @t2) (or @t8 @t11 @t14))) % 0.40/0.59 (assume @p5 @t15) % 0.40/0.59 (assume @p6 @t16) % 0.40/0.59 (assume @p7 @t17) % 0.40/0.59 (assume @p8 (not @t18)) % 0.40/0.59 (assume @p9 (not (tptp.equalish tptp.e_1 tptp.e_3))) % 0.40/0.59 (assume @p10 (not @t19)) % 0.40/0.59 (assume @p11 (not (tptp.equalish tptp.e_2 tptp.e_3))) % 0.40/0.59 (assume @p12 (not @t20)) % 0.40/0.59 (assume @p13 (not @t21)) % 0.40/0.59 (assume @p14 (forall @t5 (or @t4 @t3 (tptp.product @t2 @t1 tptp.e_1) (tptp.product @t2 @t1 tptp.e_2) (tptp.product @t2 @t1 tptp.e_3)))) % 0.40/0.59 (assume @p15 (forall (@list @t2 @t1 @t23 @t22) (or (not (tptp.product @t2 @t1 @t23)) (not (tptp.product @t2 @t1 @t22)) @t24))) % 0.40/0.59 (assume @p16 (forall (@list @t2 @t23 @t1 @t22) (or (not (tptp.product @t2 @t23 @t1)) (not (tptp.product @t2 @t22 @t1)) @t24))) % 0.40/0.59 (assume @p17 (forall (@list @t23 @t1 @t2 @t22) (or (not (tptp.product @t23 @t1 @t2)) (not (tptp.product @t22 @t1 @t2)) @t24))) % 0.40/0.59 (assume @p18 (forall @t13 (or @t14 @t9 @t10))) % 0.40/0.59 (step @p19 :rule instantiate :premises (@p17) :args ((@list tptp.e_3 tptp.e_3 tptp.e_3 tptp.e_2))) % 0.40/0.59 (step @p20 :rule instantiate :premises (@p4) :args ((@list tptp.e_2 tptp.e_3 tptp.e_3 tptp.e_1))) % 0.40/0.59 (step @p21 :rule instantiate :premises (@p2) :args (@t25)) % 0.40/0.59 (step @p22 :rule instantiate :premises (@p4) :args (@t26)) % 0.40/0.59 (step @p23 :rule cnf_or_pos :args (@t30)) % 0.40/0.59 (step @p24 :rule factoring :premises (@p23)) % 0.40/0.59 (step @p25 :rule reordering :premises (@p24) :args ((or @t29 @t28 (not @t30)))) % 0.40/0.59 (step @p26 :rule instantiate :premises (@p17) :args (@t26)) % 0.40/0.59 (step @p27 :rule cnf_or_pos :args (@t32)) % 0.40/0.59 (step @p28 :rule reordering :premises (@p27) :args ((or @t19 @t28 @t31 (not @t32)))) % 0.40/0.59 (step @p29 :rule chain_m_resolution :premises (@p28 @p26 @p10 @p25 @p22) :args (@t28 (@list false true false false) (@list @t32 @t19 @t29 @t30))) % 0.40/0.59 (step @p30 :rule instantiate :premises (@p15) :args (@t33)) % 0.40/0.59 (step @p31 :rule instantiate :premises (@p3) :args (@t33)) % 0.40/0.59 (step @p32 :rule cnf_or_pos :args (@t37)) % 0.40/0.59 (step @p33 :rule factoring :premises (@p32)) % 0.40/0.59 (step @p34 :rule reordering :premises (@p33) :args ((or @t36 @t35 (not @t37)))) % 0.40/0.59 (step @p35 :rule instantiate :premises (@p3) :args ((@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_3))) % 0.40/0.59 (step @p36 :rule cnf_or_pos :args (@t40)) % 0.40/0.59 (step @p37 :rule factoring :premises (@p36)) % 0.40/0.59 (step @p38 :rule reordering :premises (@p37) :args ((or @t36 @t39 (not @t40)))) % 0.40/0.59 (step @p39 :rule instantiate :premises (@p14) :args ((@list tptp.e_1 tptp.e_1))) % 0.40/0.59 (step @p40 :rule cnf_or_pos :args (@t42)) % 0.40/0.59 (step @p41 :rule factoring :premises (@p40)) % 0.40/0.59 (step @p42 :rule reordering :premises (@p41) :args ((or @t41 @t36 @t34 @t38 (not @t42)))) % 0.40/0.59 (step @p43 :rule chain_m_resolution :premises (@p42 @p39 @p5 @p38 @p35 @p34 @p31) :args (@t36 (@list false false true false true false) (@list @t42 @t15 @t38 @t40 @t34 @t37))) % 0.40/0.59 (step @p44 :rule cnf_or_pos :args (@t44)) % 0.40/0.59 (step @p45 :rule reordering :premises (@p44) :args ((or @t18 @t43 @t35 (not @t44)))) % 0.40/0.59 (step @p46 :rule chain_m_resolution :premises (@p45 @p8 @p43 @p30) :args (@t35 @t45 (@list @t18 @t36 @t44))) % 0.40/0.59 (step @p47 :rule cnf_or_pos :args (@t48)) % 0.40/0.59 (step @p48 :rule reordering :premises (@p47) :args ((or @t41 @t47 @t34 @t46 @t27 (not @t48)))) % 0.40/0.59 (step @p49 :rule chain_m_resolution :premises (@p48 @p5 @p6 @p46 @p29 @p21) :args (@t46 @t49 (@list @t15 @t16 @t34 @t27 @t48))) % 0.40/0.59 (step @p50 :rule instantiate :premises (@p14) :args (@t25)) % 0.40/0.59 (step @p51 :rule instantiate :premises (@p16) :args (@t33)) % 0.40/0.59 (step @p52 :rule cnf_or_pos :args (@t52)) % 0.40/0.59 (step @p53 :rule reordering :premises (@p52) :args ((or @t18 @t43 @t51 (not @t52)))) % 0.40/0.59 (step @p54 :rule chain_m_resolution :premises (@p53 @p8 @p43 @p51) :args (@t51 @t45 (@list @t18 @t36 @t52))) % 0.40/0.59 (step @p55 :rule cnf_or_pos :args (@t54)) % 0.40/0.59 (step @p56 :rule reordering :premises (@p55) :args ((or @t41 @t47 @t50 @t53 @t27 (not @t54)))) % 0.40/0.59 (step @p57 :rule chain_m_resolution :premises (@p56 @p5 @p6 @p54 @p29 @p50) :args (@t53 @t49 (@list @t15 @t16 @t50 @t27 @t54))) % 0.40/0.59 (step @p58 :rule cnf_or_pos :args (@t58)) % 0.40/0.59 (step @p59 :rule reordering :premises (@p58) :args ((or @t56 @t55 @t57 (not @t58)))) % 0.40/0.59 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p49 @p20) :args (@t57 (@list false false false) (@list @t53 @t46 @t58))) % 0.40/0.59 (step @p61 :rule instantiate :premises (@p3) :args ((@list tptp.e_3 tptp.e_3 tptp.e_3 tptp.e_1))) % 0.40/0.59 (step @p62 :rule instantiate :premises (@p1) :args ((@list tptp.e_3 tptp.e_1))) % 0.40/0.59 (step @p63 :rule instantiate :premises (@p18) :args ((@list tptp.e_1 tptp.e_3 tptp.e_2 tptp.e_1))) % 0.40/0.59 (step @p64 :rule cnf_or_pos :args (@t61)) % 0.40/0.59 (step @p65 :rule reordering :premises (@p64) :args ((or @t50 @t60 @t55 (not @t61)))) % 0.40/0.59 (step @p66 :rule chain_m_resolution :premises (@p65 @p54 @p49 @p63) :args (@t60 @t45 (@list @t50 @t46 @t61))) % 0.40/0.59 (step @p67 :rule instantiate :premises (@p16) :args ((@list tptp.e_1 tptp.e_3 tptp.e_1 tptp.e_1))) % 0.40/0.59 (step @p68 :rule cnf_or_pos :args (@t64)) % 0.40/0.59 (step @p69 :rule reordering :premises (@p68) :args ((or @t20 @t43 @t63 (not @t64)))) % 0.40/0.59 (step @p70 :rule chain_m_resolution :premises (@p69 @p12 @p43 @p67) :args (@t63 @t45 (@list @t20 @t36 @t64))) % 0.40/0.59 (step @p71 :rule cnf_or_pos :args (@t67)) % 0.40/0.59 (step @p72 :rule reordering :premises (@p71) :args ((or @t41 @t66 @t62 @t59 @t65 (not @t67)))) % 0.40/0.59 (step @p73 :rule chain_m_resolution :premises (@p72 @p5 @p7 @p70 @p66 @p62) :args (@t65 @t49 (@list @t15 @t17 @t62 @t59 @t67))) % 0.40/0.59 (step @p74 :rule cnf_or_pos :args (@t70)) % 0.40/0.59 (step @p75 :rule factoring :premises (@p74)) % 0.40/0.59 (step @p76 :rule reordering :premises (@p75) :args ((or @t68 @t69 (not @t70)))) % 0.40/0.59 (step @p77 :rule chain_m_resolution :premises (@p76 @p73 @p61) :args (@t69 (@list false false) (@list @t65 @t70))) % 0.40/0.59 (step @p78 :rule cnf_or_pos :args (@t73)) % 0.40/0.59 (step @p79 :rule reordering :premises (@p78) :args ((or @t21 @t71 @t72 (not @t73)))) % 0.40/0.59 (step @p80 false :rule chain_m_resolution :premises (@p79 @p77 @p60 @p19 @p13) :args (false (@list false false false true) (@list @t69 @t57 @t73 @t21))) % 0.40/0.59 ) % 0.40/0.59 % SZS output end Proof % 0.40/0.59 % cvc5 exiting %------------------------------------------------------------------------------