%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : FLD027-3 : TPTP v9.2.1. Bugfixed v2.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:15:25 AM UTC 2026 % Result : Unsatisfiable 0.64s 0.86s % Output : Proof 0.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : FLD027-3 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n007.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 : Mon Jun 1 22:36:26 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... % 0.64/0.86 % SZS status Unsatisfiable % 0.64/0.86 % SZS output start Proof % 0.64/0.86 ( % 0.64/0.86 (declare-sort $$unsorted 0) % 0.64/0.86 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 0.64/0.86 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.64/0.86 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.64/0.86 (declare-const tptp.multiplicative_inverse (-> $$unsorted $$unsorted)) % 0.64/0.86 (declare-const tptp.multiplicative_identity $$unsorted) % 0.64/0.86 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.64/0.86 (declare-const tptp.a $$unsorted) % 0.64/0.86 (declare-const tptp.additive_identity $$unsorted) % 0.64/0.86 (declare-const tptp.b $$unsorted) % 0.64/0.86 (declare-const tptp.defined (-> $$unsorted Bool)) % 0.64/0.86 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 0.64/0.86 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.64/0.86 (define @t1 () (@var "W" $$unsorted)) % 0.64/0.86 (define @t2 () (@var "Z" $$unsorted)) % 0.64/0.86 (define @t3 () (@var "U" $$unsorted)) % 0.64/0.86 (define @t4 () (tptp.sum @t3 @t2 @t1)) % 0.64/0.86 (define @t5 () (@var "V" $$unsorted)) % 0.64/0.86 (define @t6 () (@var "Y" $$unsorted)) % 0.64/0.86 (define @t7 () (not (tptp.sum @t6 @t2 @t5))) % 0.64/0.86 (define @t8 () (@var "X" $$unsorted)) % 0.64/0.86 (define @t9 () (not (tptp.sum @t8 @t6 @t3))) % 0.64/0.86 (define @t10 () (tptp.sum @t8 @t5 @t1)) % 0.64/0.86 (define @t11 () (@list @t8 @t5 @t1 @t6 @t3 @t2)) % 0.64/0.86 (define @t12 () (@list @t3 @t2 @t1 @t8 @t6 @t5)) % 0.64/0.86 (define @t13 () (not (tptp.defined @t8))) % 0.64/0.86 (define @t14 () (@list @t8)) % 0.64/0.86 (define @t15 () (tptp.additive_inverse @t8)) % 0.64/0.86 (define @t16 () (@list @t6 @t8 @t2)) % 0.64/0.86 (define @t17 () (tptp.product @t3 @t2 @t1)) % 0.64/0.86 (define @t18 () (not (tptp.product @t6 @t2 @t5))) % 0.64/0.86 (define @t19 () (not (tptp.product @t8 @t6 @t3))) % 0.64/0.86 (define @t20 () (tptp.product @t8 @t5 @t1)) % 0.64/0.86 (define @t21 () (forall @t11 (or @t20 @t19 @t18 (not @t17)))) % 0.64/0.86 (define @t22 () (tptp.sum tptp.additive_identity @t8 tptp.additive_identity)) % 0.64/0.86 (define @t23 () (tptp.multiplicative_inverse @t8)) % 0.64/0.86 (define @t24 () (not (tptp.product @t8 @t6 @t2))) % 0.64/0.86 (define @t25 () (@var "D" $$unsorted)) % 0.64/0.86 (define @t26 () (not (tptp.product @t6 @t2 @t25))) % 0.64/0.86 (define @t27 () (@var "C" $$unsorted)) % 0.64/0.86 (define @t28 () (not (tptp.product @t8 @t2 @t27))) % 0.64/0.86 (define @t29 () (@var "B" $$unsorted)) % 0.64/0.86 (define @t30 () (@var "A" $$unsorted)) % 0.64/0.86 (define @t31 () (tptp.product @t30 @t2 @t29)) % 0.64/0.86 (define @t32 () (not (tptp.sum @t8 @t6 @t30))) % 0.64/0.86 (define @t33 () (tptp.sum @t27 @t25 @t29)) % 0.64/0.86 (define @t34 () (not (tptp.defined @t6))) % 0.64/0.86 (define @t35 () (tptp.add @t8 @t6)) % 0.64/0.86 (define @t36 () (@list @t8 @t6)) % 0.64/0.86 (define @t37 () (tptp.multiply @t8 @t6)) % 0.64/0.86 (define @t38 () (tptp.less_or_equal @t6 @t8)) % 0.64/0.86 (define @t39 () (tptp.less_or_equal @t8 @t6)) % 0.64/0.86 (define @t40 () (not @t39)) % 0.64/0.86 (define @t41 () (tptp.defined tptp.a)) % 0.64/0.86 (define @t42 () (tptp.defined tptp.b)) % 0.64/0.86 (define @t43 () (tptp.sum tptp.additive_identity tptp.a tptp.additive_identity)) % 0.64/0.86 (define @t44 () (tptp.sum tptp.additive_identity tptp.b tptp.additive_identity)) % 0.64/0.86 (define @t45 () (tptp.multiplicative_inverse tptp.b)) % 0.64/0.86 (define @t46 () (tptp.multiplicative_inverse tptp.a)) % 0.64/0.86 (define @t47 () (tptp.product tptp.multiplicative_identity @t46 @t45)) % 0.64/0.86 (define @t48 () (tptp.product tptp.multiplicative_identity tptp.a tptp.b)) % 0.64/0.86 (define @t49 () (@list tptp.b)) % 0.64/0.86 (define @t50 () (not @t42)) % 0.64/0.86 (define @t51 () (tptp.product @t45 tptp.b tptp.multiplicative_identity)) % 0.64/0.86 (define @t52 () (or @t51 @t44 @t50)) % 0.64/0.86 (define @t53 () (@list true false false)) % 0.64/0.86 (define @t54 () (tptp.product tptp.multiplicative_identity tptp.b tptp.b)) % 0.64/0.86 (define @t55 () (or @t54 @t50)) % 0.64/0.86 (define @t56 () (@list false false)) % 0.64/0.86 (define @t57 () (tptp.product tptp.a tptp.multiplicative_identity tptp.b)) % 0.64/0.86 (define @t58 () (not @t57)) % 0.64/0.86 (define @t59 () (or @t48 @t58)) % 0.64/0.86 (define @t60 () (@list true false)) % 0.64/0.86 (define @t61 () (not @t54)) % 0.64/0.86 (define @t62 () (not @t51)) % 0.64/0.86 (define @t63 () (tptp.product tptp.a @t45 tptp.multiplicative_identity)) % 0.64/0.86 (define @t64 () (not @t63)) % 0.64/0.86 (define @t65 () (or @t57 @t64 @t62 @t61)) % 0.64/0.86 (define @t66 () (@list tptp.a)) % 0.64/0.86 (define @t67 () (not @t41)) % 0.64/0.86 (define @t68 () (tptp.product @t46 tptp.a tptp.multiplicative_identity)) % 0.64/0.86 (define @t69 () (or @t68 @t43 @t67)) % 0.64/0.86 (define @t70 () (not @t68)) % 0.64/0.86 (define @t71 () (tptp.product tptp.a @t46 tptp.multiplicative_identity)) % 0.64/0.86 (define @t72 () (or @t71 @t70)) % 0.64/0.86 (define @t73 () (tptp.product tptp.multiplicative_identity tptp.a tptp.a)) % 0.64/0.86 (define @t74 () (or @t73 @t67)) % 0.64/0.86 (define @t75 () (not @t73)) % 0.64/0.86 (define @t76 () (tptp.product tptp.a tptp.multiplicative_identity tptp.a)) % 0.64/0.86 (define @t77 () (or @t76 @t75)) % 0.64/0.86 (define @t78 () (not @t71)) % 0.64/0.86 (define @t79 () (not @t47)) % 0.64/0.86 (define @t80 () (not @t76)) % 0.64/0.86 (define @t81 () (or @t63 @t80 @t79 @t78)) % 0.64/0.86 (define @t82 () (not @t81)) % 0.64/0.86 (assume @p1 (forall @t11 (or @t10 @t9 @t7 (not @t4)))) % 0.64/0.86 (assume @p2 (forall @t12 (or @t4 @t9 @t7 (not @t10)))) % 0.64/0.86 (assume @p3 (forall @t14 (or (tptp.sum tptp.additive_identity @t8 @t8) @t13))) % 0.64/0.86 (assume @p4 (forall @t14 (or (tptp.sum @t15 @t8 tptp.additive_identity) @t13))) % 0.64/0.86 (assume @p5 (forall @t16 (or (tptp.sum @t6 @t8 @t2) (not (tptp.sum @t8 @t6 @t2))))) % 0.64/0.86 (assume @p6 @t21) % 0.64/0.86 (assume @p7 (forall @t12 (or @t17 @t19 @t18 (not @t20)))) % 0.64/0.86 (assume @p8 (forall @t14 (or (tptp.product tptp.multiplicative_identity @t8 @t8) @t13))) % 0.64/0.86 (assume @p9 (forall @t14 (or (tptp.product @t23 @t8 tptp.multiplicative_identity) @t22 @t13))) % 0.64/0.86 (assume @p10 (forall @t16 (or (tptp.product @t6 @t8 @t2) @t24))) % 0.64/0.86 (assume @p11 (forall (@list @t27 @t25 @t29 @t8 @t6 @t30 @t2) (or @t33 @t32 (not @t31) @t28 @t26))) % 0.64/0.86 (assume @p12 (forall (@list @t30 @t2 @t29 @t8 @t6 @t27 @t25) (or @t31 @t32 @t28 @t26 (not @t33)))) % 0.64/0.86 (assume @p13 (forall @t36 (or (tptp.defined @t35) @t13 @t34))) % 0.64/0.86 (assume @p14 (tptp.defined tptp.additive_identity)) % 0.64/0.86 (assume @p15 (forall @t14 (or (tptp.defined @t15) @t13))) % 0.64/0.86 (assume @p16 (forall @t36 (or (tptp.defined @t37) @t13 @t34))) % 0.64/0.86 (assume @p17 (tptp.defined tptp.multiplicative_identity)) % 0.64/0.86 (assume @p18 (forall @t14 (or (tptp.defined @t23) @t13 @t22))) % 0.64/0.86 (assume @p19 (forall @t36 (or (tptp.sum @t8 @t6 @t35) @t13 @t34))) % 0.64/0.86 (assume @p20 (forall @t36 (or (tptp.product @t8 @t6 @t37) @t13 @t34))) % 0.64/0.86 (assume @p21 (forall @t36 (or (tptp.sum tptp.additive_identity @t8 @t6) @t40 (not @t38)))) % 0.64/0.86 (assume @p22 (forall (@list @t8 @t2 @t6) (or (tptp.less_or_equal @t8 @t2) @t40 (not (tptp.less_or_equal @t6 @t2))))) % 0.64/0.86 (assume @p23 (forall @t36 (or @t39 @t38 @t13 @t34))) % 0.64/0.86 (assume @p24 (forall (@list @t3 @t5 @t8 @t6 @t2) (or (tptp.less_or_equal @t3 @t5) @t40 (not (tptp.sum @t8 @t2 @t3)) @t7))) % 0.64/0.86 (assume @p25 (forall (@list @t2 @t8 @t6) (or (tptp.less_or_equal tptp.additive_identity @t2) (not (tptp.less_or_equal tptp.additive_identity @t8)) (not (tptp.less_or_equal tptp.additive_identity @t6)) @t24))) % 0.64/0.86 (assume @p26 (not (tptp.sum tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity))) % 0.64/0.86 (assume @p27 @t41) % 0.64/0.86 (assume @p28 @t42) % 0.64/0.86 (assume @p29 (not @t43)) % 0.64/0.86 (assume @p30 (not @t44)) % 0.64/0.86 (assume @p31 @t47) % 0.64/0.86 (assume @p32 (not @t48)) % 0.64/0.86 (step @p33 :rule instantiate :premises (@p6) :args ((@list tptp.a tptp.multiplicative_identity tptp.b @t45 tptp.multiplicative_identity tptp.b))) % 0.64/0.86 (step @p34 :rule instantiate :premises (@p9) :args (@t49)) % 0.64/0.86 (step @p35 :rule cnf_or_pos :args (@t52)) % 0.64/0.86 (step @p36 :rule reordering :premises (@p35) :args ((or @t44 @t50 @t51 (not @t52)))) % 0.64/0.86 (step @p37 :rule chain_m_resolution :premises (@p36 @p30 @p28 @p34) :args (@t51 @t53 (@list @t44 @t42 @t52))) % 0.64/0.86 (step @p38 :rule instantiate :premises (@p8) :args (@t49)) % 0.64/0.86 (step @p39 :rule cnf_or_pos :args (@t55)) % 0.64/0.86 (step @p40 :rule reordering :premises (@p39) :args ((or @t50 @t54 (not @t55)))) % 0.64/0.86 (step @p41 :rule chain_m_resolution :premises (@p40 @p28 @p38) :args (@t54 @t56 (@list @t42 @t55))) % 0.64/0.86 (step @p42 :rule instantiate :premises (@p10) :args ((@list tptp.multiplicative_identity tptp.a tptp.b))) % 0.64/0.86 (step @p43 :rule cnf_or_pos :args (@t59)) % 0.64/0.86 (step @p44 :rule reordering :premises (@p43) :args ((or @t48 @t58 (not @t59)))) % 0.64/0.86 (step @p45 :rule chain_m_resolution :premises (@p44 @p32 @p42) :args (@t58 @t60 (@list @t48 @t59))) % 0.64/0.86 (step @p46 :rule cnf_or_pos :args (@t65)) % 0.64/0.86 (step @p47 :rule reordering :premises (@p46) :args ((or @t57 @t61 @t62 @t64 (not @t65)))) % 0.64/0.86 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p41 @p37 @p33) :args (@t64 (@list true false false false) (@list @t57 @t54 @t51 @t65))) % 0.64/0.86 (step @p49 :rule instantiate :premises (@p10) :args ((@list tptp.a @t46 tptp.multiplicative_identity))) % 0.64/0.86 (step @p50 :rule instantiate :premises (@p9) :args (@t66)) % 0.64/0.86 (step @p51 :rule cnf_or_pos :args (@t69)) % 0.64/0.86 (step @p52 :rule reordering :premises (@p51) :args ((or @t43 @t67 @t68 (not @t69)))) % 0.64/0.86 (step @p53 :rule chain_m_resolution :premises (@p52 @p29 @p27 @p50) :args (@t68 @t53 (@list @t43 @t41 @t69))) % 0.64/0.86 (step @p54 :rule cnf_or_pos :args (@t72)) % 0.64/0.86 (step @p55 :rule reordering :premises (@p54) :args ((or @t70 @t71 (not @t72)))) % 0.64/0.86 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p49) :args (@t71 @t56 (@list @t68 @t72))) % 0.64/0.86 (step @p57 :rule instantiate :premises (@p10) :args ((@list tptp.a tptp.multiplicative_identity tptp.a))) % 0.64/0.86 (step @p58 :rule instantiate :premises (@p8) :args (@t66)) % 0.64/0.86 (step @p59 :rule cnf_or_pos :args (@t74)) % 0.64/0.86 (step @p60 :rule reordering :premises (@p59) :args ((or @t67 @t73 (not @t74)))) % 0.64/0.86 (step @p61 :rule chain_m_resolution :premises (@p60 @p27 @p58) :args (@t73 @t56 (@list @t41 @t74))) % 0.64/0.86 (step @p62 :rule cnf_or_pos :args (@t77)) % 0.64/0.86 (step @p63 :rule reordering :premises (@p62) :args ((or @t75 @t76 (not @t77)))) % 0.64/0.86 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p57) :args (@t76 @t56 (@list @t73 @t77))) % 0.64/0.86 (step @p65 :rule cnf_or_pos :args (@t81)) % 0.64/0.86 (step @p66 :rule reordering :premises (@p65) :args ((or @t79 @t80 @t78 @t63 @t82))) % 0.64/0.86 (step @p67 :rule chain_m_resolution :premises (@p66 @p31 @p64 @p56 @p48) :args (@t82 (@list false false false true) (@list @t47 @t76 @t71 @t63))) % 0.64/0.86 (assume-push @p74 @t21) % 0.64/0.86 (step @p69 :rule instantiate :premises (@p6) :args ((@list tptp.a @t45 tptp.multiplicative_identity tptp.multiplicative_identity tptp.a @t46))) % 0.64/0.86 (step-pop @p75 :rule scope :premises (@p69)) % 0.64/0.86 (step @p70 :rule process_scope :premises (@p75) :args (@t81)) % 0.64/0.86 (step @p72 :rule implies_elim :premises (@p70)) % 0.64/0.86 (step @p73 false :rule chain_m_resolution :premises (@p72 @p67 @p6) :args (false @t60 (@list @t81 @t21))) % 0.64/0.86 ) % 0.64/0.86 % SZS output end Proof % 0.64/0.86 % cvc5 exiting %------------------------------------------------------------------------------