%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP124-2.004 : 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 : n009.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 08:19:50 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.61s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP124-2.004 : 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 % 0.16/0.34 % Computer : n009.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 00:51:59 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.61 % SZS status Unsatisfiable % 0.37/0.61 % SZS output start Proof % 0.37/0.61 ( % 0.37/0.61 (declare-sort $$unsorted 0) % 0.37/0.61 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.e_3 $$unsorted) % 0.37/0.61 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.next (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.group_element (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.e_1 $$unsorted) % 0.37/0.61 (declare-const tptp.e_4 $$unsorted) % 0.37/0.61 (declare-const tptp.e_2 $$unsorted) % 0.37/0.61 (define @t1 () (tptp.next tptp.e_2 tptp.e_3)) % 0.37/0.61 (define @t2 () (tptp.greater tptp.e_4 tptp.e_3)) % 0.37/0.61 (define @t3 () (@var "X1" $$unsorted)) % 0.37/0.61 (define @t4 () (@var "Y" $$unsorted)) % 0.37/0.61 (define @t5 () (@var "X" $$unsorted)) % 0.37/0.61 (define @t6 () (tptp.group_element tptp.e_1)) % 0.37/0.61 (define @t7 () (tptp.group_element tptp.e_2)) % 0.37/0.61 (define @t8 () (tptp.group_element tptp.e_4)) % 0.37/0.61 (define @t9 () (tptp.equalish tptp.e_1 tptp.e_2)) % 0.37/0.61 (define @t10 () (tptp.equalish tptp.e_1 tptp.e_4)) % 0.37/0.61 (define @t11 () (tptp.equalish tptp.e_2 tptp.e_4)) % 0.37/0.61 (define @t12 () (tptp.equalish tptp.e_4 tptp.e_1)) % 0.37/0.61 (define @t13 () (@var "Z" $$unsorted)) % 0.37/0.61 (define @t14 () (@var "W" $$unsorted)) % 0.37/0.61 (define @t15 () (tptp.equalish @t14 @t13)) % 0.37/0.61 (define @t16 () (forall (@list @t14 @t4 @t5 @t13) (or (not (tptp.product @t14 @t4 @t5)) (not (tptp.product @t13 @t4 @t5)) @t15))) % 0.37/0.61 (define @t17 () (@var "X2" $$unsorted)) % 0.37/0.61 (define @t18 () (@var "Y2" $$unsorted)) % 0.37/0.61 (define @t19 () (@var "Z2" $$unsorted)) % 0.37/0.61 (define @t20 () (not (tptp.product @t19 @t17 @t18))) % 0.37/0.61 (define @t21 () (@var "Y1" $$unsorted)) % 0.37/0.61 (define @t22 () (not (tptp.product @t19 @t3 @t21))) % 0.37/0.61 (define @t23 () (@var "Z1" $$unsorted)) % 0.37/0.61 (define @t24 () (not (tptp.product @t17 @t18 @t23))) % 0.37/0.61 (define @t25 () (not (tptp.product @t3 @t21 @t23))) % 0.37/0.61 (define @t26 () (@list @t3 @t21 @t23 @t17 @t18 @t19)) % 0.37/0.61 (define @t27 () (@list tptp.e_2 tptp.e_1 tptp.e_3 tptp.e_4)) % 0.37/0.61 (define @t28 () (not @t2)) % 0.37/0.61 (define @t29 () (not @t1)) % 0.37/0.61 (define @t30 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_4)) % 0.37/0.61 (define @t31 () (not @t30)) % 0.37/0.61 (define @t32 () (or @t31 @t29 @t28)) % 0.37/0.61 (define @t33 () (tptp.product tptp.e_2 tptp.e_2 tptp.e_2)) % 0.37/0.61 (define @t34 () (not @t33)) % 0.37/0.61 (define @t35 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_2)) % 0.37/0.61 (define @t36 () (not @t35)) % 0.37/0.61 (define @t37 () (or @t36 @t34 @t9)) % 0.37/0.61 (define @t38 () (@list true false false)) % 0.37/0.61 (define @t39 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_1)) % 0.37/0.61 (define @t40 () (not @t39)) % 0.37/0.61 (define @t41 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_1)) % 0.37/0.61 (define @t42 () (not @t41)) % 0.37/0.61 (define @t43 () (or @t42 @t40 @t9)) % 0.37/0.61 (define @t44 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_3)) % 0.37/0.61 (define @t45 () (not @t6)) % 0.37/0.61 (define @t46 () (not @t7)) % 0.37/0.61 (define @t47 () (or @t46 @t45 @t39 @t35 @t44 @t30)) % 0.37/0.61 (define @t48 () (@list false false true true true false)) % 0.37/0.61 (define @t49 () (tptp.product tptp.e_2 tptp.e_4 tptp.e_3)) % 0.37/0.61 (define @t50 () (not @t49)) % 0.37/0.61 (define @t51 () (not @t44)) % 0.37/0.61 (define @t52 () (or @t51 @t50 @t10)) % 0.37/0.61 (define @t53 () (tptp.product tptp.e_2 tptp.e_4 tptp.e_2)) % 0.37/0.61 (define @t54 () (not @t53)) % 0.37/0.61 (define @t55 () (or @t34 @t54 @t11)) % 0.37/0.61 (define @t56 () (tptp.product tptp.e_4 tptp.e_4 tptp.e_4)) % 0.37/0.61 (define @t57 () (not @t56)) % 0.37/0.61 (define @t58 () (tptp.product tptp.e_4 tptp.e_1 tptp.e_4)) % 0.37/0.62 (define @t59 () (not @t58)) % 0.37/0.62 (define @t60 () (or @t59 @t57 @t10)) % 0.37/0.62 (define @t61 () (tptp.product tptp.e_4 tptp.e_1 tptp.e_3)) % 0.37/0.62 (define @t62 () (not @t61)) % 0.37/0.62 (define @t63 () (or @t51 @t62 @t11)) % 0.37/0.62 (define @t64 () (tptp.product tptp.e_4 tptp.e_1 tptp.e_1)) % 0.37/0.62 (define @t65 () (not @t64)) % 0.37/0.62 (define @t66 () (or @t65 @t42 @t12)) % 0.37/0.62 (define @t67 () (tptp.product tptp.e_4 tptp.e_1 tptp.e_2)) % 0.37/0.62 (define @t68 () (not @t8)) % 0.37/0.62 (define @t69 () (or @t68 @t45 @t64 @t67 @t61 @t58)) % 0.37/0.62 (define @t70 () (tptp.product tptp.e_2 tptp.e_4 tptp.e_1)) % 0.37/0.62 (define @t71 () (not @t70)) % 0.37/0.62 (define @t72 () (not @t67)) % 0.37/0.62 (define @t73 () (or @t34 @t72 @t34 @t71 @t11)) % 0.37/0.62 (define @t74 () (tptp.product tptp.e_2 tptp.e_4 tptp.e_4)) % 0.37/0.62 (define @t75 () (or @t46 @t68 @t70 @t53 @t49 @t74)) % 0.37/0.62 (define @t76 () (not @t74)) % 0.37/0.62 (define @t77 () (or @t76 @t57 @t11)) % 0.37/0.62 (define @t78 () (not @t77)) % 0.37/0.62 (assume @p1 (tptp.next tptp.e_1 tptp.e_2)) % 0.37/0.62 (assume @p2 @t1) % 0.37/0.62 (assume @p3 (tptp.next tptp.e_3 tptp.e_4)) % 0.37/0.62 (assume @p4 (tptp.greater tptp.e_2 tptp.e_1)) % 0.37/0.62 (assume @p5 (tptp.greater tptp.e_3 tptp.e_1)) % 0.37/0.62 (assume @p6 (tptp.greater tptp.e_4 tptp.e_1)) % 0.37/0.62 (assume @p7 (tptp.greater tptp.e_3 tptp.e_2)) % 0.37/0.62 (assume @p8 (tptp.greater tptp.e_4 tptp.e_2)) % 0.37/0.62 (assume @p9 @t2) % 0.37/0.62 (assume @p10 (forall (@list @t5 @t4 @t3) (or (not (tptp.product @t5 tptp.e_1 @t4)) (not (tptp.next @t5 @t3)) (not (tptp.greater @t4 @t3))))) % 0.37/0.62 (assume @p11 @t6) % 0.37/0.62 (assume @p12 @t7) % 0.37/0.62 (assume @p13 (tptp.group_element tptp.e_3)) % 0.37/0.62 (assume @p14 @t8) % 0.37/0.62 (assume @p15 (not @t9)) % 0.37/0.62 (assume @p16 (not (tptp.equalish tptp.e_1 tptp.e_3))) % 0.37/0.62 (assume @p17 (not @t10)) % 0.37/0.62 (assume @p18 (not (tptp.equalish tptp.e_2 tptp.e_1))) % 0.37/0.62 (assume @p19 (not (tptp.equalish tptp.e_2 tptp.e_3))) % 0.37/0.62 (assume @p20 (not @t11)) % 0.37/0.62 (assume @p21 (not (tptp.equalish tptp.e_3 tptp.e_1))) % 0.37/0.62 (assume @p22 (not (tptp.equalish tptp.e_3 tptp.e_2))) % 0.37/0.62 (assume @p23 (not (tptp.equalish tptp.e_3 tptp.e_4))) % 0.37/0.62 (assume @p24 (not @t12)) % 0.37/0.62 (assume @p25 (not (tptp.equalish tptp.e_4 tptp.e_2))) % 0.37/0.62 (assume @p26 (not (tptp.equalish tptp.e_4 tptp.e_3))) % 0.37/0.62 (assume @p27 (forall (@list @t5 @t4) (or (not (tptp.group_element @t5)) (not (tptp.group_element @t4)) (tptp.product @t5 @t4 tptp.e_1) (tptp.product @t5 @t4 tptp.e_2) (tptp.product @t5 @t4 tptp.e_3) (tptp.product @t5 @t4 tptp.e_4)))) % 0.37/0.62 (assume @p28 (forall (@list @t5 @t4 @t14 @t13) (or (not (tptp.product @t5 @t4 @t14)) (not (tptp.product @t5 @t4 @t13)) @t15))) % 0.37/0.62 (assume @p29 (forall (@list @t5 @t14 @t4 @t13) (or (not (tptp.product @t5 @t14 @t4)) (not (tptp.product @t5 @t13 @t4)) @t15))) % 0.37/0.62 (assume @p30 @t16) % 0.37/0.62 (assume @p31 (forall (@list @t5) (tptp.product @t5 @t5 @t5))) % 0.37/0.62 (assume @p32 (forall @t26 (or @t25 @t24 @t22 @t20 (tptp.equalish @t3 @t17)))) % 0.37/0.62 (assume @p33 (forall @t26 (or @t25 @t24 @t22 @t20 (tptp.equalish @t21 @t18)))) % 0.37/0.62 (step @p34 :rule instantiate :premises (@p27) :args ((@list tptp.e_2 tptp.e_4))) % 0.37/0.62 (step @p35 :rule instantiate :premises (@p29) :args (@t27)) % 0.37/0.62 (step @p36 :rule instantiate :premises (@p27) :args ((@list tptp.e_2 tptp.e_1))) % 0.37/0.62 (step @p37 :rule instantiate :premises (@p10) :args ((@list tptp.e_2 tptp.e_4 tptp.e_3))) % 0.37/0.62 (step @p38 :rule cnf_or_pos :args (@t32)) % 0.37/0.62 (step @p39 :rule reordering :premises (@p38) :args ((or @t29 @t28 @t31 (not @t32)))) % 0.37/0.62 (step @p40 :rule chain_m_resolution :premises (@p39 @p2 @p9 @p37) :args (@t31 (@list false false false) (@list @t1 @t2 @t32))) % 0.37/0.62 (step @p41 :rule instantiate :premises (@p29) :args ((@list tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_2))) % 0.37/0.62 (step @p42 :rule instantiate :premises (@p31) :args ((@list tptp.e_2))) % 0.37/0.62 (step @p43 :rule cnf_or_pos :args (@t37)) % 0.37/0.62 (step @p44 :rule reordering :premises (@p43) :args ((or @t9 @t36 @t34 (not @t37)))) % 0.37/0.62 (step @p45 :rule chain_m_resolution :premises (@p44 @p15 @p42 @p41) :args (@t36 @t38 (@list @t9 @t33 @t37))) % 0.37/0.62 (step @p46 :rule instantiate :premises (@p30) :args ((@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2))) % 0.37/0.62 (step @p47 :rule instantiate :premises (@p31) :args ((@list tptp.e_1))) % 0.37/0.62 (step @p48 :rule cnf_or_pos :args (@t43)) % 0.37/0.62 (step @p49 :rule reordering :premises (@p48) :args ((or @t9 @t42 @t40 (not @t43)))) % 0.37/0.62 (step @p50 :rule chain_m_resolution :premises (@p49 @p15 @p47 @p46) :args (@t40 @t38 (@list @t9 @t41 @t43))) % 0.37/0.62 (step @p51 :rule cnf_or_pos :args (@t47)) % 0.37/0.62 (step @p52 :rule reordering :premises (@p51) :args ((or @t45 @t46 @t39 @t35 @t44 @t30 (not @t47)))) % 0.37/0.62 (step @p53 :rule chain_m_resolution :premises (@p52 @p11 @p12 @p50 @p45 @p40 @p36) :args (@t44 @t48 (@list @t6 @t7 @t39 @t35 @t30 @t47))) % 0.37/0.62 (step @p54 :rule cnf_or_pos :args (@t52)) % 0.37/0.62 (step @p55 :rule reordering :premises (@p54) :args ((or @t10 @t51 @t50 (not @t52)))) % 0.37/0.62 (step @p56 :rule chain_m_resolution :premises (@p55 @p17 @p53 @p35) :args (@t50 @t38 (@list @t10 @t44 @t52))) % 0.37/0.62 (step @p57 :rule instantiate :premises (@p29) :args ((@list tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_4))) % 0.37/0.62 (step @p58 :rule cnf_or_pos :args (@t55)) % 0.37/0.62 (step @p59 :rule reordering :premises (@p58) :args ((or @t11 @t34 @t54 (not @t55)))) % 0.37/0.62 (step @p60 :rule chain_m_resolution :premises (@p59 @p20 @p42 @p57) :args (@t54 @t38 (@list @t11 @t33 @t55))) % 0.37/0.62 (step @p61 :rule instantiate :premises (@p32) :args ((@list tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_4 tptp.e_1 tptp.e_2))) % 0.37/0.62 (step @p62 :rule instantiate :premises (@p27) :args ((@list tptp.e_4 tptp.e_1))) % 0.37/0.62 (step @p63 :rule instantiate :premises (@p29) :args ((@list tptp.e_4 tptp.e_1 tptp.e_4 tptp.e_4))) % 0.37/0.62 (step @p64 :rule instantiate :premises (@p31) :args ((@list tptp.e_4))) % 0.37/0.62 (step @p65 :rule cnf_or_pos :args (@t60)) % 0.37/0.62 (step @p66 :rule reordering :premises (@p65) :args ((or @t10 @t57 @t59 (not @t60)))) % 0.37/0.62 (step @p67 :rule chain_m_resolution :premises (@p66 @p17 @p64 @p63) :args (@t59 @t38 (@list @t10 @t56 @t60))) % 0.37/0.62 (step @p68 :rule instantiate :premises (@p30) :args (@t27)) % 0.37/0.62 (step @p69 :rule cnf_or_pos :args (@t63)) % 0.37/0.62 (step @p70 :rule reordering :premises (@p69) :args ((or @t11 @t51 @t62 (not @t63)))) % 0.37/0.62 (step @p71 :rule chain_m_resolution :premises (@p70 @p20 @p53 @p68) :args (@t62 @t38 (@list @t11 @t44 @t63))) % 0.37/0.62 (step @p72 :rule instantiate :premises (@p30) :args ((@list tptp.e_4 tptp.e_1 tptp.e_1 tptp.e_1))) % 0.37/0.62 (step @p73 :rule cnf_or_pos :args (@t66)) % 0.37/0.62 (step @p74 :rule reordering :premises (@p73) :args ((or @t12 @t42 @t65 (not @t66)))) % 0.37/0.62 (step @p75 :rule chain_m_resolution :premises (@p74 @p24 @p47 @p72) :args (@t65 @t38 (@list @t12 @t41 @t66))) % 0.37/0.62 (step @p76 :rule cnf_or_pos :args (@t69)) % 0.37/0.62 (step @p77 :rule reordering :premises (@p76) :args ((or @t45 @t68 @t64 @t67 @t61 @t58 (not @t69)))) % 0.37/0.62 (step @p78 :rule chain_m_resolution :premises (@p77 @p11 @p14 @p75 @p71 @p67 @p62) :args (@t67 @t48 (@list @t6 @t8 @t64 @t61 @t58 @t69))) % 0.37/0.62 (step @p79 :rule cnf_or_pos :args (@t73)) % 0.37/0.62 (step @p80 :rule factoring :premises (@p79)) % 0.37/0.62 (step @p81 :rule reordering :premises (@p80) :args ((or @t11 @t34 @t72 @t71 (not @t73)))) % 0.37/0.62 (step @p82 :rule chain_m_resolution :premises (@p81 @p20 @p42 @p78 @p61) :args (@t71 (@list true false false false) (@list @t11 @t33 @t67 @t73))) % 0.37/0.62 (step @p83 :rule cnf_or_pos :args (@t75)) % 0.37/0.62 (step @p84 :rule reordering :premises (@p83) :args ((or @t46 @t68 @t70 @t53 @t49 @t74 (not @t75)))) % 0.37/0.62 (step @p85 :rule chain_m_resolution :premises (@p84 @p12 @p14 @p82 @p60 @p56 @p34) :args (@t74 @t48 (@list @t7 @t8 @t70 @t53 @t49 @t75))) % 0.37/0.62 (step @p86 :rule cnf_or_pos :args (@t77)) % 0.37/0.62 (step @p87 :rule reordering :premises (@p86) :args ((or @t11 @t57 @t76 @t78))) % 0.37/0.62 (step @p88 :rule chain_m_resolution :premises (@p87 @p20 @p64 @p85) :args (@t78 @t38 (@list @t11 @t56 @t74))) % 0.37/0.62 (assume-push @p95 @t16) % 0.37/0.62 (step @p90 :rule instantiate :premises (@p30) :args ((@list tptp.e_2 tptp.e_4 tptp.e_4 tptp.e_4))) % 0.37/0.62 (step-pop @p96 :rule scope :premises (@p90)) % 0.37/0.62 (step @p91 :rule process_scope :premises (@p96) :args (@t77)) % 0.37/0.62 (step @p93 :rule implies_elim :premises (@p91)) % 0.37/0.62 (step @p94 false :rule chain_m_resolution :premises (@p93 @p88 @p30) :args (false (@list true false) (@list @t77 @t16))) % 0.37/0.62 ) % 0.37/0.62 % SZS output end Proof % 0.37/0.62 % cvc5 exiting %------------------------------------------------------------------------------