%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP128-1.003 : TPTP v9.2.1. Released v1.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n022.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 08:19:54 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP128-1.003 : TPTP v9.2.1. Released v1.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n022.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 00:53:08 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.58 % SZS status Unsatisfiable % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.e_2 $$unsorted) % 0.37/0.58 (declare-const tptp.group_element (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.e_3 $$unsorted) % 0.37/0.58 (declare-const tptp.e_1 $$unsorted) % 0.37/0.58 (define @t1 () (tptp.group_element tptp.e_1)) % 0.37/0.58 (define @t2 () (tptp.group_element tptp.e_2)) % 0.37/0.58 (define @t3 () (tptp.group_element tptp.e_3)) % 0.37/0.58 (define @t4 () (tptp.equalish tptp.e_1 tptp.e_2)) % 0.37/0.58 (define @t5 () (tptp.equalish tptp.e_1 tptp.e_3)) % 0.37/0.58 (define @t6 () (tptp.equalish tptp.e_2 tptp.e_1)) % 0.37/0.58 (define @t7 () (tptp.equalish tptp.e_2 tptp.e_3)) % 0.37/0.58 (define @t8 () (tptp.equalish tptp.e_3 tptp.e_1)) % 0.37/0.58 (define @t9 () (tptp.equalish tptp.e_3 tptp.e_2)) % 0.37/0.58 (define @t10 () (@var "Y" $$unsorted)) % 0.37/0.58 (define @t11 () (@var "X" $$unsorted)) % 0.37/0.58 (define @t12 () (@var "Z" $$unsorted)) % 0.37/0.58 (define @t13 () (@var "W" $$unsorted)) % 0.37/0.58 (define @t14 () (tptp.equalish @t13 @t12)) % 0.37/0.58 (define @t15 () (@var "Z2" $$unsorted)) % 0.37/0.58 (define @t16 () (@var "Z1" $$unsorted)) % 0.37/0.58 (define @t17 () (@list tptp.e_3 tptp.e_1 tptp.e_3 tptp.e_3)) % 0.37/0.58 (define @t18 () (tptp.product tptp.e_3 tptp.e_3 tptp.e_3)) % 0.37/0.58 (define @t19 () (not @t18)) % 0.37/0.58 (define @t20 () (tptp.product tptp.e_3 tptp.e_1 tptp.e_3)) % 0.37/0.58 (define @t21 () (not @t20)) % 0.37/0.58 (define @t22 () (or @t21 @t19 @t5)) % 0.37/0.58 (define @t23 () (or @t21 @t21 @t18)) % 0.37/0.58 (define @t24 () (@list false true false true)) % 0.37/0.58 (define @t25 () (@list tptp.e_1 tptp.e_1 tptp.e_3 tptp.e_2)) % 0.37/0.58 (define @t26 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_3)) % 0.37/0.58 (define @t27 () (not @t26)) % 0.37/0.58 (define @t28 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_3)) % 0.37/0.58 (define @t29 () (not @t28)) % 0.37/0.58 (define @t30 () (or @t29 @t27 @t4)) % 0.37/0.58 (define @t31 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_3)) % 0.37/0.58 (define @t32 () (not @t31)) % 0.37/0.58 (define @t33 () (or @t29 @t32 @t4)) % 0.37/0.58 (define @t34 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_1)) % 0.37/0.58 (define @t35 () (not @t34)) % 0.37/0.58 (define @t36 () (or @t35 @t29 @t26)) % 0.37/0.58 (define @t37 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_1)) % 0.37/0.58 (define @t38 () (not @t37)) % 0.37/0.58 (define @t39 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_1)) % 0.37/0.58 (define @t40 () (not @t39)) % 0.37/0.58 (define @t41 () (or @t40 @t38 @t4)) % 0.37/0.58 (define @t42 () (or @t38 @t38 @t39)) % 0.37/0.58 (define @t43 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_2)) % 0.37/0.58 (define @t44 () (not @t2)) % 0.37/0.58 (define @t45 () (not @t1)) % 0.37/0.58 (define @t46 () (or @t45 @t44 @t37 @t43 @t31)) % 0.37/0.58 (define @t47 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_2)) % 0.37/0.58 (define @t48 () (or @t44 @t45 @t34 @t47 @t26)) % 0.37/0.58 (define @t49 () (not @t43)) % 0.37/0.58 (define @t50 () (tptp.product tptp.e_2 tptp.e_2 tptp.e_2)) % 0.37/0.58 (define @t51 () (not @t50)) % 0.37/0.58 (define @t52 () (or @t51 @t49 @t6)) % 0.37/0.58 (define @t53 () (not @t47)) % 0.37/0.58 (define @t54 () (or @t53 @t53 @t50)) % 0.37/0.58 (define @t55 () (tptp.product tptp.e_3 tptp.e_1 tptp.e_2)) % 0.37/0.58 (define @t56 () (tptp.product tptp.e_3 tptp.e_1 tptp.e_1)) % 0.37/0.58 (define @t57 () (not @t3)) % 0.37/0.58 (define @t58 () (or @t57 @t45 @t56 @t55 @t20)) % 0.37/0.58 (define @t59 () (not @t56)) % 0.37/0.58 (define @t60 () (or @t59 @t40 @t8)) % 0.37/0.58 (define @t61 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_2)) % 0.37/0.58 (define @t62 () (not @t61)) % 0.37/0.58 (define @t63 () (or @t59 @t62 @t55)) % 0.37/0.58 (define @t64 () (or @t45 @t45 @t39 @t61 @t28)) % 0.37/0.58 (define @t65 () (not @t55)) % 0.37/0.58 (define @t66 () (or @t65 @t53 @t9)) % 0.37/0.58 (define @t67 () (@list true false false)) % 0.37/0.58 (define @t68 () (or @t62 @t65 @t5)) % 0.37/0.58 (define @t69 () (or @t35 @t40 @t6)) % 0.37/0.58 (define @t70 () (tptp.product tptp.e_2 tptp.e_3 tptp.e_2)) % 0.37/0.58 (define @t71 () (or @t27 @t65 @t70)) % 0.37/0.58 (define @t72 () (not @t70)) % 0.37/0.58 (define @t73 () (or @t72 @t72 @t50)) % 0.37/0.58 (define @t74 () (or @t51 @t72 @t7)) % 0.37/0.58 (assume @p1 @t1) % 0.37/0.58 (assume @p2 @t2) % 0.37/0.58 (assume @p3 @t3) % 0.37/0.58 (assume @p4 (not @t4)) % 0.37/0.58 (assume @p5 (not @t5)) % 0.37/0.58 (assume @p6 (not @t6)) % 0.37/0.58 (assume @p7 (not @t7)) % 0.37/0.58 (assume @p8 (not @t8)) % 0.37/0.58 (assume @p9 (not @t9)) % 0.37/0.58 (assume @p10 (forall (@list @t11 @t10) (or (not (tptp.group_element @t11)) (not (tptp.group_element @t10)) (tptp.product @t11 @t10 tptp.e_1) (tptp.product @t11 @t10 tptp.e_2) (tptp.product @t11 @t10 tptp.e_3)))) % 0.37/0.58 (assume @p11 (forall (@list @t11 @t10 @t13 @t12) (or (not (tptp.product @t11 @t10 @t13)) (not (tptp.product @t11 @t10 @t12)) @t14))) % 0.37/0.58 (assume @p12 (forall (@list @t11 @t13 @t10 @t12) (or (not (tptp.product @t11 @t13 @t10)) (not (tptp.product @t11 @t12 @t10)) @t14))) % 0.37/0.58 (assume @p13 (forall (@list @t13 @t10 @t11 @t12) (or (not (tptp.product @t13 @t10 @t11)) (not (tptp.product @t12 @t10 @t11)) @t14))) % 0.37/0.58 (assume @p14 (forall (@list @t11 @t10 @t16 @t15) (or (not (tptp.product @t11 @t10 @t16)) (not (tptp.product @t16 @t10 @t15)) (tptp.product @t11 @t16 @t15)))) % 0.37/0.58 (step @p15 :rule instantiate :premises (@p12) :args ((@list tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_3))) % 0.37/0.58 (step @p16 :rule instantiate :premises (@p14) :args ((@list tptp.e_2 tptp.e_1 tptp.e_3 tptp.e_2))) % 0.37/0.58 (step @p17 :rule instantiate :premises (@p12) :args (@t17)) % 0.37/0.58 (step @p18 :rule cnf_or_pos :args (@t22)) % 0.37/0.58 (step @p19 :rule reordering :premises (@p18) :args ((or @t5 @t19 @t21 (not @t22)))) % 0.37/0.58 (step @p20 :rule instantiate :premises (@p14) :args (@t17)) % 0.37/0.58 (step @p21 :rule cnf_or_pos :args (@t23)) % 0.37/0.58 (step @p22 :rule factoring :premises (@p21)) % 0.37/0.58 (step @p23 :rule reordering :premises (@p22) :args ((or @t18 @t21 (not @t23)))) % 0.37/0.58 (step @p24 :rule chain_m_resolution :premises (@p23 @p20 @p19 @p17 @p5) :args (@t21 @t24 (@list @t23 @t18 @t22 @t5))) % 0.37/0.58 (step @p25 :rule instantiate :premises (@p13) :args (@t25)) % 0.37/0.58 (step @p26 :rule cnf_or_pos :args (@t30)) % 0.37/0.58 (step @p27 :rule reordering :premises (@p26) :args ((or @t4 @t29 @t27 (not @t30)))) % 0.37/0.58 (step @p28 :rule instantiate :premises (@p12) :args (@t25)) % 0.37/0.58 (step @p29 :rule cnf_or_pos :args (@t33)) % 0.37/0.58 (step @p30 :rule reordering :premises (@p29) :args ((or @t4 @t29 @t32 (not @t33)))) % 0.37/0.58 (step @p31 :rule instantiate :premises (@p14) :args ((@list tptp.e_2 tptp.e_1 tptp.e_1 tptp.e_3))) % 0.37/0.58 (step @p32 :rule cnf_or_pos :args (@t36)) % 0.37/0.58 (step @p33 :rule reordering :premises (@p32) :args ((or @t29 @t26 @t35 (not @t36)))) % 0.37/0.58 (step @p34 :rule instantiate :premises (@p10) :args ((@list tptp.e_1 tptp.e_2))) % 0.37/0.58 (step @p35 :rule instantiate :premises (@p12) :args ((@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2))) % 0.37/0.58 (step @p36 :rule cnf_or_pos :args (@t41)) % 0.37/0.58 (step @p37 :rule reordering :premises (@p36) :args ((or @t4 @t40 @t38 (not @t41)))) % 0.37/0.58 (step @p38 :rule instantiate :premises (@p14) :args ((@list tptp.e_1 tptp.e_2 tptp.e_1 tptp.e_1))) % 0.37/0.58 (step @p39 :rule cnf_or_pos :args (@t42)) % 0.37/0.58 (step @p40 :rule factoring :premises (@p39)) % 0.37/0.58 (step @p41 :rule reordering :premises (@p40) :args ((or @t39 @t38 (not @t42)))) % 0.37/0.58 (step @p42 :rule chain_m_resolution :premises (@p41 @p38 @p37 @p35 @p4) :args (@t38 @t24 (@list @t42 @t39 @t41 @t4))) % 0.37/0.58 (step @p43 :rule cnf_or_pos :args (@t46)) % 0.37/0.58 (step @p44 :rule reordering :premises (@p43) :args ((or @t45 @t44 @t37 @t43 @t31 (not @t46)))) % 0.37/0.58 (step @p45 :rule instantiate :premises (@p10) :args ((@list tptp.e_2 tptp.e_1))) % 0.37/0.58 (step @p46 :rule cnf_or_pos :args (@t48)) % 0.37/0.58 (step @p47 :rule reordering :premises (@p46) :args ((or @t45 @t44 @t34 @t47 @t26 (not @t48)))) % 0.37/0.58 (step @p48 :rule instantiate :premises (@p13) :args ((@list tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_1))) % 0.37/0.58 (step @p49 :rule cnf_or_pos :args (@t52)) % 0.37/0.58 (step @p50 :rule reordering :premises (@p49) :args ((or @t6 @t49 @t51 (not @t52)))) % 0.37/0.58 (step @p51 :rule instantiate :premises (@p14) :args ((@list tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_2))) % 0.37/0.58 (step @p52 :rule cnf_or_pos :args (@t54)) % 0.37/0.58 (step @p53 :rule factoring :premises (@p52)) % 0.37/0.58 (step @p54 :rule reordering :premises (@p53) :args ((or @t53 @t50 (not @t54)))) % 0.37/0.58 (step @p55 :rule chain_m_resolution :premises (@p54 @p51 @p50 @p48 @p6 @p47 @p45 @p2 @p1 @p44 @p42 @p34 @p2 @p1 @p33 @p31 @p30 @p28 @p4 @p27 @p25 @p4) :args (@t29 (@list false true false true false false false false false true false false false true false true false true true false true) (@list @t54 @t50 @t52 @t6 @t47 @t48 @t2 @t1 @t43 @t37 @t46 @t2 @t1 @t34 @t36 @t31 @t33 @t4 @t26 @t30 @t4))) % 0.37/0.58 (step @p56 :rule instantiate :premises (@p10) :args ((@list tptp.e_3 tptp.e_1))) % 0.37/0.58 (step @p57 :rule cnf_or_pos :args (@t58)) % 0.37/0.58 (step @p58 :rule reordering :premises (@p57) :args ((or @t45 @t57 @t56 @t55 @t20 (not @t58)))) % 0.37/0.58 (step @p59 :rule instantiate :premises (@p13) :args ((@list tptp.e_3 tptp.e_1 tptp.e_1 tptp.e_1))) % 0.37/0.58 (step @p60 :rule cnf_or_pos :args (@t60)) % 0.37/0.58 (step @p61 :rule reordering :premises (@p60) :args ((or @t8 @t40 @t59 (not @t60)))) % 0.37/0.58 (step @p62 :rule instantiate :premises (@p14) :args ((@list tptp.e_3 tptp.e_1 tptp.e_1 tptp.e_2))) % 0.37/0.58 (step @p63 :rule cnf_or_pos :args (@t63)) % 0.37/0.58 (step @p64 :rule reordering :premises (@p63) :args ((or @t62 @t55 @t59 (not @t63)))) % 0.37/0.58 (step @p65 :rule instantiate :premises (@p10) :args ((@list tptp.e_1 tptp.e_1))) % 0.37/0.58 (step @p66 :rule cnf_or_pos :args (@t64)) % 0.37/0.58 (step @p67 :rule factoring :premises (@p66)) % 0.37/0.58 (step @p68 :rule reordering :premises (@p67) :args ((or @t45 @t39 @t61 @t28 (not @t64)))) % 0.37/0.58 (step @p69 :rule chain_m_resolution :premises (@p68 @p65 @p1 @p64 @p62 @p61 @p59 @p8 @p58 @p56 @p3 @p1) :args ((or @t28 @t55 @t20) (@list false false true false true false true false false false false) (@list @t64 @t1 @t61 @t63 @t39 @t60 @t8 @t56 @t58 @t3 @t1))) % 0.37/0.58 (step @p70 :rule chain_m_resolution :premises (@p69 @p55 @p24) :args (@t55 (@list true true) (@list @t28 @t20))) % 0.37/0.58 (step @p71 :rule instantiate :premises (@p13) :args ((@list tptp.e_3 tptp.e_1 tptp.e_2 tptp.e_2))) % 0.37/0.58 (step @p72 :rule cnf_or_pos :args (@t66)) % 0.37/0.58 (step @p73 :rule reordering :premises (@p72) :args ((or @t9 @t53 @t65 (not @t66)))) % 0.37/0.58 (step @p74 :rule chain_m_resolution :premises (@p73 @p9 @p70 @p71) :args (@t53 @t67 (@list @t9 @t55 @t66))) % 0.37/0.58 (step @p75 :rule instantiate :premises (@p13) :args ((@list tptp.e_2 tptp.e_1 tptp.e_1 tptp.e_1))) % 0.37/0.58 (step @p76 :rule instantiate :premises (@p13) :args ((@list tptp.e_1 tptp.e_1 tptp.e_2 tptp.e_3))) % 0.37/0.58 (step @p77 :rule cnf_or_pos :args (@t68)) % 0.37/0.58 (step @p78 :rule reordering :premises (@p77) :args ((or @t5 @t62 @t65 (not @t68)))) % 0.37/0.58 (step @p79 :rule chain_m_resolution :premises (@p78 @p5 @p70 @p76) :args (@t62 @t67 (@list @t5 @t55 @t68))) % 0.37/0.58 (step @p80 :rule chain_m_resolution :premises (@p68 @p1 @p79 @p55 @p65) :args (@t39 (@list false true true false) (@list @t1 @t61 @t28 @t64))) % 0.37/0.58 (step @p81 :rule cnf_or_pos :args (@t69)) % 0.37/0.58 (step @p82 :rule reordering :premises (@p81) :args ((or @t6 @t40 @t35 (not @t69)))) % 0.37/0.58 (step @p83 :rule chain_m_resolution :premises (@p82 @p6 @p80 @p75) :args (@t35 @t67 (@list @t6 @t39 @t69))) % 0.37/0.58 (step @p84 :rule chain_m_resolution :premises (@p47 @p1 @p2 @p83 @p74 @p45) :args (@t26 (@list false false true true false) (@list @t1 @t2 @t34 @t47 @t48))) % 0.37/0.58 (step @p85 :rule cnf_or_pos :args (@t71)) % 0.37/0.58 (step @p86 :rule reordering :premises (@p85) :args ((or @t27 @t65 @t70 (not @t71)))) % 0.37/0.58 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p70 @p16) :args (@t70 (@list false false false) (@list @t26 @t55 @t71))) % 0.37/0.58 (step @p88 :rule instantiate :premises (@p14) :args ((@list tptp.e_2 tptp.e_3 tptp.e_2 tptp.e_2))) % 0.37/0.58 (step @p89 :rule cnf_or_pos :args (@t73)) % 0.37/0.58 (step @p90 :rule factoring :premises (@p89)) % 0.37/0.58 (step @p91 :rule reordering :premises (@p90) :args ((or @t50 @t72 (not @t73)))) % 0.37/0.58 (step @p92 :rule chain_m_resolution :premises (@p91 @p87 @p88) :args (@t50 (@list false false) (@list @t70 @t73))) % 0.37/0.58 (step @p93 :rule cnf_or_pos :args (@t74)) % 0.37/0.58 (step @p94 :rule reordering :premises (@p93) :args ((or @t7 @t51 @t72 (not @t74)))) % 0.37/0.58 (step @p95 false :rule chain_m_resolution :premises (@p94 @p92 @p87 @p15 @p7) :args (false (@list false false false true) (@list @t50 @t70 @t74 @t7))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------