%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP123-7.003 : 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 : 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 08:19:49 AM UTC 2026 % Result : Unsatisfiable 0.29s 0.55s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP123-7.003 : 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 : n016.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 00:52:09 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.47 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.29/0.55 % SZS status Unsatisfiable % 0.29/0.55 % SZS output start Proof % 0.29/0.55 ( % 0.29/0.55 (declare-sort $$unsorted 0) % 0.29/0.55 (declare-const tptp.product2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.55 (declare-const tptp.group_element (-> $$unsorted Bool)) % 0.29/0.55 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.55 (declare-const tptp.product1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.55 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.29/0.55 (declare-const tptp.e_3 $$unsorted) % 0.29/0.55 (declare-const tptp.next (-> $$unsorted $$unsorted Bool)) % 0.29/0.55 (declare-const tptp.e_1 $$unsorted) % 0.29/0.55 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.29/0.55 (declare-const tptp.e_2 $$unsorted) % 0.29/0.55 (define @t1 () (@var "X1" $$unsorted)) % 0.29/0.55 (define @t2 () (@var "Y" $$unsorted)) % 0.29/0.55 (define @t3 () (@var "X" $$unsorted)) % 0.29/0.55 (define @t4 () (tptp.group_element tptp.e_1)) % 0.29/0.55 (define @t5 () (tptp.group_element tptp.e_2)) % 0.29/0.55 (define @t6 () (tptp.group_element tptp.e_3)) % 0.29/0.55 (define @t7 () (tptp.equalish tptp.e_1 tptp.e_2)) % 0.29/0.55 (define @t8 () (tptp.equalish tptp.e_1 tptp.e_3)) % 0.29/0.55 (define @t9 () (tptp.equalish tptp.e_2 tptp.e_1)) % 0.29/0.55 (define @t10 () (tptp.equalish tptp.e_2 tptp.e_3)) % 0.29/0.55 (define @t11 () (not (tptp.group_element @t2))) % 0.29/0.55 (define @t12 () (not (tptp.group_element @t3))) % 0.29/0.55 (define @t13 () (@list @t3 @t2)) % 0.29/0.55 (define @t14 () (@var "Z" $$unsorted)) % 0.29/0.55 (define @t15 () (@var "W" $$unsorted)) % 0.29/0.55 (define @t16 () (tptp.equalish @t15 @t14)) % 0.29/0.55 (define @t17 () (@list @t3 @t2 @t15 @t14)) % 0.29/0.55 (define @t18 () (@list @t3 @t15 @t2 @t14)) % 0.29/0.55 (define @t19 () (forall @t18 (or (not (tptp.product1 @t3 @t15 @t2)) (not (tptp.product1 @t3 @t14 @t2)) @t16))) % 0.29/0.55 (define @t20 () (@list @t15 @t2 @t3 @t14)) % 0.29/0.55 (define @t21 () (@list @t3)) % 0.29/0.55 (define @t22 () (@var "Z2" $$unsorted)) % 0.29/0.55 (define @t23 () (@var "Z1" $$unsorted)) % 0.29/0.55 (define @t24 () (@list tptp.e_2)) % 0.29/0.55 (define @t25 () (tptp.product1 tptp.e_3 tptp.e_2 tptp.e_2)) % 0.29/0.55 (define @t26 () (not @t25)) % 0.29/0.55 (define @t27 () (tptp.product1 tptp.e_2 tptp.e_2 tptp.e_2)) % 0.29/0.55 (define @t28 () (not @t27)) % 0.29/0.55 (define @t29 () (or @t28 @t26 @t10)) % 0.29/0.55 (define @t30 () (@list true false false)) % 0.29/0.55 (define @t31 () (tptp.product1 tptp.e_1 tptp.e_2 tptp.e_2)) % 0.29/0.55 (define @t32 () (not @t31)) % 0.29/0.55 (define @t33 () (or @t28 @t32 @t9)) % 0.29/0.55 (define @t34 () (@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2)) % 0.29/0.55 (define @t35 () (@list tptp.e_1)) % 0.29/0.55 (define @t36 () (tptp.product1 tptp.e_1 tptp.e_2 tptp.e_1)) % 0.29/0.55 (define @t37 () (not @t36)) % 0.29/0.55 (define @t38 () (tptp.product1 tptp.e_1 tptp.e_1 tptp.e_1)) % 0.29/0.55 (define @t39 () (not @t38)) % 0.29/0.55 (define @t40 () (or @t39 @t37 @t7)) % 0.29/0.55 (define @t41 () (tptp.product1 tptp.e_1 tptp.e_2 tptp.e_3)) % 0.29/0.55 (define @t42 () (not @t5)) % 0.29/0.55 (define @t43 () (not @t4)) % 0.29/0.55 (define @t44 () (or @t43 @t42 @t36 @t31 @t41)) % 0.29/0.55 (define @t45 () (@list false false true true false)) % 0.29/0.55 (define @t46 () (tptp.product2 tptp.e_1 tptp.e_1 tptp.e_2)) % 0.29/0.55 (define @t47 () (not @t46)) % 0.29/0.55 (define @t48 () (tptp.product2 tptp.e_1 tptp.e_1 tptp.e_1)) % 0.29/0.55 (define @t49 () (not @t48)) % 0.29/0.55 (define @t50 () (or @t49 @t47 @t7)) % 0.29/0.55 (define @t51 () (tptp.product1 tptp.e_3 tptp.e_2 tptp.e_1)) % 0.29/0.55 (define @t52 () (not @t51)) % 0.29/0.55 (define @t53 () (not @t41)) % 0.29/0.55 (define @t54 () (or @t53 @t52 @t46)) % 0.29/0.55 (define @t55 () (tptp.product1 tptp.e_3 tptp.e_2 tptp.e_3)) % 0.29/0.55 (define @t56 () (not @t6)) % 0.29/0.55 (define @t57 () (or @t56 @t42 @t51 @t25 @t55)) % 0.29/0.55 (define @t58 () (tptp.product2 tptp.e_2 tptp.e_2 tptp.e_2)) % 0.29/0.55 (define @t59 () (not @t58)) % 0.29/0.55 (define @t60 () (tptp.product2 tptp.e_2 tptp.e_2 tptp.e_1)) % 0.29/0.55 (define @t61 () (not @t60)) % 0.29/0.55 (define @t62 () (or @t61 @t59 @t7)) % 0.29/0.55 (define @t63 () (tptp.product1 tptp.e_2 tptp.e_1 tptp.e_2)) % 0.29/0.55 (define @t64 () (not @t63)) % 0.29/0.55 (define @t65 () (or @t64 @t28 @t7)) % 0.29/0.55 (define @t66 () (tptp.product1 tptp.e_2 tptp.e_1 tptp.e_1)) % 0.29/0.55 (define @t67 () (not @t66)) % 0.29/0.55 (define @t68 () (or @t39 @t67 @t7)) % 0.29/0.55 (define @t69 () (tptp.product1 tptp.e_2 tptp.e_1 tptp.e_3)) % 0.29/0.55 (define @t70 () (or @t42 @t43 @t66 @t63 @t69)) % 0.29/0.55 (define @t71 () (tptp.product1 tptp.e_3 tptp.e_1 tptp.e_2)) % 0.29/0.55 (define @t72 () (not @t71)) % 0.29/0.55 (define @t73 () (not @t69)) % 0.29/0.55 (define @t74 () (or @t73 @t72 @t60)) % 0.29/0.55 (define @t75 () (tptp.product1 tptp.e_3 tptp.e_1 tptp.e_1)) % 0.29/0.55 (define @t76 () (not @t75)) % 0.29/0.55 (define @t77 () (or @t39 @t76 @t8)) % 0.29/0.55 (define @t78 () (tptp.product1 tptp.e_3 tptp.e_1 tptp.e_3)) % 0.29/0.55 (define @t79 () (or @t56 @t43 @t75 @t71 @t78)) % 0.29/0.55 (define @t80 () (not @t55)) % 0.29/0.55 (define @t81 () (not @t78)) % 0.29/0.55 (define @t82 () (or @t81 @t80 @t7)) % 0.29/0.55 (define @t83 () (not @t82)) % 0.29/0.55 (assume @p1 (tptp.next tptp.e_1 tptp.e_2)) % 0.29/0.55 (assume @p2 (tptp.next tptp.e_2 tptp.e_3)) % 0.29/0.55 (assume @p3 (tptp.greater tptp.e_2 tptp.e_1)) % 0.29/0.55 (assume @p4 (tptp.greater tptp.e_3 tptp.e_1)) % 0.29/0.55 (assume @p5 (tptp.greater tptp.e_3 tptp.e_2)) % 0.29/0.55 (assume @p6 (forall (@list @t3 @t2 @t1) (or (not (tptp.product @t3 tptp.e_1 @t2)) (not (tptp.next @t3 @t1)) (not (tptp.greater @t2 @t1))))) % 0.29/0.55 (assume @p7 @t4) % 0.29/0.55 (assume @p8 @t5) % 0.29/0.55 (assume @p9 @t6) % 0.29/0.55 (assume @p10 (not @t7)) % 0.29/0.55 (assume @p11 (not @t8)) % 0.29/0.55 (assume @p12 (not @t9)) % 0.29/0.55 (assume @p13 (not @t10)) % 0.29/0.55 (assume @p14 (not (tptp.equalish tptp.e_3 tptp.e_1))) % 0.29/0.55 (assume @p15 (not (tptp.equalish tptp.e_3 tptp.e_2))) % 0.29/0.55 (assume @p16 (forall @t13 (or @t12 @t11 (tptp.product1 @t3 @t2 tptp.e_1) (tptp.product1 @t3 @t2 tptp.e_2) (tptp.product1 @t3 @t2 tptp.e_3)))) % 0.29/0.55 (assume @p17 (forall @t17 (or (not (tptp.product1 @t3 @t2 @t15)) (not (tptp.product1 @t3 @t2 @t14)) @t16))) % 0.29/0.55 (assume @p18 @t19) % 0.29/0.55 (assume @p19 (forall @t20 (or (not (tptp.product1 @t15 @t2 @t3)) (not (tptp.product1 @t14 @t2 @t3)) @t16))) % 0.29/0.55 (assume @p20 (forall @t21 (tptp.product1 @t3 @t3 @t3))) % 0.29/0.55 (assume @p21 (forall @t13 (or @t12 @t11 (tptp.product2 @t3 @t2 tptp.e_1) (tptp.product2 @t3 @t2 tptp.e_2) (tptp.product2 @t3 @t2 tptp.e_3)))) % 0.29/0.55 (assume @p22 (forall @t17 (or (not (tptp.product2 @t3 @t2 @t15)) (not (tptp.product2 @t3 @t2 @t14)) @t16))) % 0.29/0.55 (assume @p23 (forall @t18 (or (not (tptp.product2 @t3 @t15 @t2)) (not (tptp.product2 @t3 @t14 @t2)) @t16))) % 0.29/0.55 (assume @p24 (forall @t20 (or (not (tptp.product2 @t15 @t2 @t3)) (not (tptp.product2 @t14 @t2 @t3)) @t16))) % 0.29/0.55 (assume @p25 (forall @t21 (tptp.product2 @t3 @t3 @t3))) % 0.29/0.55 (assume @p26 (forall (@list @t3 @t2 @t23 @t22) (or (not (tptp.product1 @t3 @t2 @t23)) (not (tptp.product1 @t23 @t2 @t22)) (tptp.product2 @t22 @t3 @t2)))) % 0.29/0.55 (step @p27 :rule instantiate :premises (@p16) :args ((@list tptp.e_3 tptp.e_2))) % 0.29/0.55 (step @p28 :rule instantiate :premises (@p19) :args ((@list tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_3))) % 0.29/0.55 (step @p29 :rule instantiate :premises (@p20) :args (@t24)) % 0.29/0.55 (step @p30 :rule cnf_or_pos :args (@t29)) % 0.29/0.55 (step @p31 :rule reordering :premises (@p30) :args ((or @t10 @t28 @t26 (not @t29)))) % 0.29/0.55 (step @p32 :rule chain_m_resolution :premises (@p31 @p13 @p29 @p28) :args (@t26 @t30 (@list @t10 @t27 @t29))) % 0.29/0.55 (step @p33 :rule instantiate :premises (@p26) :args ((@list tptp.e_1 tptp.e_2 tptp.e_3 tptp.e_1))) % 0.29/0.55 (step @p34 :rule instantiate :premises (@p16) :args ((@list tptp.e_1 tptp.e_2))) % 0.29/0.55 (step @p35 :rule instantiate :premises (@p19) :args ((@list tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_1))) % 0.29/0.55 (step @p36 :rule cnf_or_pos :args (@t33)) % 0.29/0.55 (step @p37 :rule reordering :premises (@p36) :args ((or @t9 @t32 @t28 (not @t33)))) % 0.29/0.55 (step @p38 :rule chain_m_resolution :premises (@p37 @p12 @p29 @p35) :args (@t32 @t30 (@list @t9 @t27 @t33))) % 0.29/0.55 (step @p39 :rule instantiate :premises (@p18) :args (@t34)) % 0.29/0.55 (step @p40 :rule instantiate :premises (@p20) :args (@t35)) % 0.29/0.55 (step @p41 :rule cnf_or_pos :args (@t40)) % 0.29/0.55 (step @p42 :rule reordering :premises (@p41) :args ((or @t7 @t39 @t37 (not @t40)))) % 0.29/0.55 (step @p43 :rule chain_m_resolution :premises (@p42 @p10 @p40 @p39) :args (@t37 @t30 (@list @t7 @t38 @t40))) % 0.29/0.55 (step @p44 :rule cnf_or_pos :args (@t44)) % 0.29/0.55 (step @p45 :rule reordering :premises (@p44) :args ((or @t43 @t42 @t36 @t31 @t41 (not @t44)))) % 0.29/0.55 (step @p46 :rule chain_m_resolution :premises (@p45 @p7 @p8 @p43 @p38 @p34) :args (@t41 @t45 (@list @t4 @t5 @t36 @t31 @t44))) % 0.29/0.55 (step @p47 :rule instantiate :premises (@p22) :args (@t34)) % 0.29/0.55 (step @p48 :rule instantiate :premises (@p25) :args (@t35)) % 0.29/0.55 (step @p49 :rule cnf_or_pos :args (@t50)) % 0.29/0.55 (step @p50 :rule reordering :premises (@p49) :args ((or @t7 @t49 @t47 (not @t50)))) % 0.29/0.55 (step @p51 :rule chain_m_resolution :premises (@p50 @p10 @p48 @p47) :args (@t47 @t30 (@list @t7 @t48 @t50))) % 0.29/0.55 (step @p52 :rule cnf_or_pos :args (@t54)) % 0.29/0.55 (step @p53 :rule reordering :premises (@p52) :args ((or @t46 @t53 @t52 (not @t54)))) % 0.29/0.55 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p46 @p33) :args (@t52 @t30 (@list @t46 @t41 @t54))) % 0.29/0.55 (step @p55 :rule cnf_or_pos :args (@t57)) % 0.29/0.55 (step @p56 :rule reordering :premises (@p55) :args ((or @t42 @t56 @t51 @t25 @t55 (not @t57)))) % 0.29/0.55 (step @p57 :rule chain_m_resolution :premises (@p56 @p8 @p9 @p54 @p32 @p27) :args (@t55 @t45 (@list @t5 @t6 @t51 @t25 @t57))) % 0.29/0.55 (step @p58 :rule instantiate :premises (@p16) :args ((@list tptp.e_3 tptp.e_1))) % 0.29/0.55 (step @p59 :rule instantiate :premises (@p26) :args ((@list tptp.e_2 tptp.e_1 tptp.e_3 tptp.e_2))) % 0.29/0.55 (step @p60 :rule instantiate :premises (@p22) :args ((@list tptp.e_2 tptp.e_2 tptp.e_1 tptp.e_2))) % 0.29/0.55 (step @p61 :rule instantiate :premises (@p25) :args (@t24)) % 0.29/0.55 (step @p62 :rule cnf_or_pos :args (@t62)) % 0.29/0.55 (step @p63 :rule reordering :premises (@p62) :args ((or @t7 @t59 @t61 (not @t62)))) % 0.29/0.55 (step @p64 :rule chain_m_resolution :premises (@p63 @p10 @p61 @p60) :args (@t61 @t30 (@list @t7 @t58 @t62))) % 0.29/0.55 (step @p65 :rule instantiate :premises (@p16) :args ((@list tptp.e_2 tptp.e_1))) % 0.29/0.55 (step @p66 :rule instantiate :premises (@p18) :args ((@list tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_2))) % 0.29/0.55 (step @p67 :rule cnf_or_pos :args (@t65)) % 0.29/0.55 (step @p68 :rule reordering :premises (@p67) :args ((or @t7 @t28 @t64 (not @t65)))) % 0.29/0.55 (step @p69 :rule chain_m_resolution :premises (@p68 @p10 @p29 @p66) :args (@t64 @t30 (@list @t7 @t27 @t65))) % 0.29/0.55 (step @p70 :rule instantiate :premises (@p19) :args (@t34)) % 0.29/0.55 (step @p71 :rule cnf_or_pos :args (@t68)) % 0.29/0.55 (step @p72 :rule reordering :premises (@p71) :args ((or @t7 @t39 @t67 (not @t68)))) % 0.29/0.55 (step @p73 :rule chain_m_resolution :premises (@p72 @p10 @p40 @p70) :args (@t67 @t30 (@list @t7 @t38 @t68))) % 0.29/0.55 (step @p74 :rule cnf_or_pos :args (@t70)) % 0.29/0.55 (step @p75 :rule reordering :premises (@p74) :args ((or @t43 @t42 @t66 @t63 @t69 (not @t70)))) % 0.29/0.55 (step @p76 :rule chain_m_resolution :premises (@p75 @p7 @p8 @p73 @p69 @p65) :args (@t69 @t45 (@list @t4 @t5 @t66 @t63 @t70))) % 0.29/0.55 (step @p77 :rule cnf_or_pos :args (@t74)) % 0.29/0.55 (step @p78 :rule reordering :premises (@p77) :args ((or @t73 @t60 @t72 (not @t74)))) % 0.29/0.55 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p64 @p59) :args (@t72 (@list false true false) (@list @t69 @t60 @t74))) % 0.29/0.55 (step @p80 :rule instantiate :premises (@p19) :args ((@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_3))) % 0.29/0.55 (step @p81 :rule cnf_or_pos :args (@t77)) % 0.29/0.55 (step @p82 :rule reordering :premises (@p81) :args ((or @t8 @t39 @t76 (not @t77)))) % 0.29/0.55 (step @p83 :rule chain_m_resolution :premises (@p82 @p11 @p40 @p80) :args (@t76 @t30 (@list @t8 @t38 @t77))) % 0.29/0.55 (step @p84 :rule cnf_or_pos :args (@t79)) % 0.29/0.55 (step @p85 :rule reordering :premises (@p84) :args ((or @t43 @t56 @t75 @t71 @t78 (not @t79)))) % 0.29/0.55 (step @p86 :rule chain_m_resolution :premises (@p85 @p7 @p9 @p83 @p79 @p58) :args (@t78 @t45 (@list @t4 @t6 @t75 @t71 @t79))) % 0.29/0.55 (step @p87 :rule cnf_or_pos :args (@t82)) % 0.29/0.55 (step @p88 :rule reordering :premises (@p87) :args ((or @t7 @t81 @t80 @t83))) % 0.29/0.55 (step @p89 :rule chain_m_resolution :premises (@p88 @p10 @p86 @p57) :args (@t83 @t30 (@list @t7 @t78 @t55))) % 0.29/0.55 (assume-push @p96 @t19) % 0.29/0.55 (step @p91 :rule instantiate :premises (@p18) :args ((@list tptp.e_3 tptp.e_1 tptp.e_3 tptp.e_2))) % 0.29/0.55 (step-pop @p97 :rule scope :premises (@p91)) % 0.29/0.55 (step @p92 :rule process_scope :premises (@p97) :args (@t82)) % 0.29/0.55 (step @p94 :rule implies_elim :premises (@p92)) % 0.29/0.55 (step @p95 false :rule chain_m_resolution :premises (@p94 @p89 @p18) :args (false (@list true false) (@list @t82 @t19))) % 0.29/0.55 ) % 0.29/0.55 % SZS output end Proof % 0.29/0.56 % cvc5 exiting %------------------------------------------------------------------------------