%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : FLD016-3 : TPTP v9.2.1. Bugfixed v2.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:15:22 AM UTC 2026 % Result : Unsatisfiable 1.86s 2.09s % Output : Proof 1.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : FLD016-3 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n003.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 : Mon Jun 1 22:34:29 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.86/2.09 % SZS status Unsatisfiable % 1.86/2.09 % SZS output start Proof % 1.86/2.09 ( % 1.86/2.09 (declare-sort $$unsorted 0) % 1.86/2.09 (declare-const tptp.v $$unsorted) % 1.86/2.09 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 1.86/2.09 (declare-const tptp.defined (-> $$unsorted Bool)) % 1.86/2.09 (declare-const tptp.b $$unsorted) % 1.86/2.09 (declare-const tptp.additive_identity $$unsorted) % 1.86/2.09 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.86/2.09 (declare-const tptp.a $$unsorted) % 1.86/2.09 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.86/2.09 (declare-const tptp.multiplicative_identity $$unsorted) % 1.86/2.09 (declare-const tptp.multiplicative_inverse (-> $$unsorted $$unsorted)) % 1.86/2.09 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 1.86/2.09 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 1.86/2.09 (declare-const tptp.u $$unsorted) % 1.86/2.09 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 1.86/2.09 (define @t1 () (@var "W" $$unsorted)) % 1.86/2.09 (define @t2 () (@var "Z" $$unsorted)) % 1.86/2.09 (define @t3 () (@var "U" $$unsorted)) % 1.86/2.09 (define @t4 () (tptp.sum @t3 @t2 @t1)) % 1.86/2.09 (define @t5 () (@var "V" $$unsorted)) % 1.86/2.09 (define @t6 () (@var "Y" $$unsorted)) % 1.86/2.09 (define @t7 () (not (tptp.sum @t6 @t2 @t5))) % 1.86/2.09 (define @t8 () (@var "X" $$unsorted)) % 1.86/2.09 (define @t9 () (not (tptp.sum @t8 @t6 @t3))) % 1.86/2.09 (define @t10 () (tptp.sum @t8 @t5 @t1)) % 1.86/2.09 (define @t11 () (@list @t8 @t5 @t1 @t6 @t3 @t2)) % 1.86/2.09 (define @t12 () (@list @t3 @t2 @t1 @t8 @t6 @t5)) % 1.86/2.09 (define @t13 () (forall @t12 (or @t4 @t9 @t7 (not @t10)))) % 1.86/2.09 (define @t14 () (not (tptp.defined @t8))) % 1.86/2.09 (define @t15 () (@list @t8)) % 1.86/2.09 (define @t16 () (tptp.additive_inverse @t8)) % 1.86/2.09 (define @t17 () (@list @t6 @t8 @t2)) % 1.86/2.09 (define @t18 () (tptp.product @t3 @t2 @t1)) % 1.86/2.09 (define @t19 () (not (tptp.product @t6 @t2 @t5))) % 1.86/2.09 (define @t20 () (not (tptp.product @t8 @t6 @t3))) % 1.86/2.09 (define @t21 () (tptp.product @t8 @t5 @t1)) % 1.86/2.09 (define @t22 () (tptp.sum tptp.additive_identity @t8 tptp.additive_identity)) % 1.86/2.09 (define @t23 () (tptp.multiplicative_inverse @t8)) % 1.86/2.09 (define @t24 () (not (tptp.product @t8 @t6 @t2))) % 1.86/2.09 (define @t25 () (@var "D" $$unsorted)) % 1.86/2.09 (define @t26 () (not (tptp.product @t6 @t2 @t25))) % 1.86/2.09 (define @t27 () (@var "C" $$unsorted)) % 1.86/2.09 (define @t28 () (not (tptp.product @t8 @t2 @t27))) % 1.86/2.09 (define @t29 () (@var "B" $$unsorted)) % 1.86/2.09 (define @t30 () (@var "A" $$unsorted)) % 1.86/2.09 (define @t31 () (tptp.product @t30 @t2 @t29)) % 1.86/2.09 (define @t32 () (not (tptp.sum @t8 @t6 @t30))) % 1.86/2.09 (define @t33 () (tptp.sum @t27 @t25 @t29)) % 1.86/2.09 (define @t34 () (not (tptp.defined @t6))) % 1.86/2.09 (define @t35 () (tptp.add @t8 @t6)) % 1.86/2.09 (define @t36 () (@list @t8 @t6)) % 1.86/2.09 (define @t37 () (tptp.multiply @t8 @t6)) % 1.86/2.09 (define @t38 () (tptp.less_or_equal @t6 @t8)) % 1.86/2.09 (define @t39 () (tptp.less_or_equal @t8 @t6)) % 1.86/2.09 (define @t40 () (not @t39)) % 1.86/2.09 (define @t41 () (tptp.defined tptp.a)) % 1.86/2.09 (define @t42 () (tptp.defined tptp.v)) % 1.86/2.09 (define @t43 () (tptp.sum tptp.a tptp.u tptp.b)) % 1.86/2.09 (define @t44 () (tptp.sum tptp.a tptp.v tptp.b)) % 1.86/2.09 (define @t45 () (tptp.sum tptp.additive_identity tptp.u tptp.v)) % 1.86/2.09 (define @t46 () (tptp.additive_inverse tptp.a)) % 1.86/2.09 (define @t47 () (not @t41)) % 1.86/2.09 (define @t48 () (tptp.sum @t46 tptp.a tptp.additive_identity)) % 1.86/2.09 (define @t49 () (or @t48 @t47)) % 1.86/2.09 (define @t50 () (@list false false)) % 1.86/2.09 (define @t51 () (not @t48)) % 1.86/2.09 (define @t52 () (tptp.sum tptp.a @t46 tptp.additive_identity)) % 1.86/2.09 (define @t53 () (or @t52 @t51)) % 1.86/2.09 (define @t54 () (not @t43)) % 1.86/2.09 (define @t55 () (tptp.sum tptp.u tptp.a tptp.b)) % 1.86/2.09 (define @t56 () (or @t55 @t54)) % 1.86/2.09 (define @t57 () (tptp.sum tptp.u tptp.additive_identity tptp.v)) % 1.86/2.09 (define @t58 () (not @t57)) % 1.86/2.09 (define @t59 () (or @t45 @t58)) % 1.86/2.09 (define @t60 () (@list true false)) % 1.86/2.09 (define @t61 () (tptp.sum tptp.b @t46 tptp.v)) % 1.86/2.09 (define @t62 () (not @t61)) % 1.86/2.09 (define @t63 () (not @t52)) % 1.86/2.09 (define @t64 () (not @t55)) % 1.86/2.09 (define @t65 () (or @t57 @t64 @t63 @t62)) % 1.86/2.09 (define @t66 () (not @t42)) % 1.86/2.09 (define @t67 () (tptp.sum tptp.additive_identity tptp.v tptp.v)) % 1.86/2.09 (define @t68 () (or @t67 @t66)) % 1.86/2.09 (define @t69 () (not @t67)) % 1.86/2.09 (define @t70 () (tptp.sum tptp.v tptp.additive_identity tptp.v)) % 1.86/2.09 (define @t71 () (or @t70 @t69)) % 1.86/2.09 (define @t72 () (not @t44)) % 1.86/2.09 (define @t73 () (tptp.sum tptp.v tptp.a tptp.b)) % 1.86/2.09 (define @t74 () (or @t73 @t72)) % 1.86/2.09 (define @t75 () (not @t70)) % 1.86/2.09 (define @t76 () (not @t73)) % 1.86/2.09 (define @t77 () (or @t61 @t76 @t63 @t75)) % 1.86/2.09 (define @t78 () (not @t77)) % 1.86/2.09 (assume @p1 (forall @t11 (or @t10 @t9 @t7 (not @t4)))) % 1.86/2.09 (assume @p2 @t13) % 1.86/2.09 (assume @p3 (forall @t15 (or (tptp.sum tptp.additive_identity @t8 @t8) @t14))) % 1.86/2.09 (assume @p4 (forall @t15 (or (tptp.sum @t16 @t8 tptp.additive_identity) @t14))) % 1.86/2.09 (assume @p5 (forall @t17 (or (tptp.sum @t6 @t8 @t2) (not (tptp.sum @t8 @t6 @t2))))) % 1.86/2.09 (assume @p6 (forall @t11 (or @t21 @t20 @t19 (not @t18)))) % 1.86/2.09 (assume @p7 (forall @t12 (or @t18 @t20 @t19 (not @t21)))) % 1.86/2.09 (assume @p8 (forall @t15 (or (tptp.product tptp.multiplicative_identity @t8 @t8) @t14))) % 1.86/2.09 (assume @p9 (forall @t15 (or (tptp.product @t23 @t8 tptp.multiplicative_identity) @t22 @t14))) % 1.86/2.09 (assume @p10 (forall @t17 (or (tptp.product @t6 @t8 @t2) @t24))) % 1.86/2.09 (assume @p11 (forall (@list @t27 @t25 @t29 @t8 @t6 @t30 @t2) (or @t33 @t32 (not @t31) @t28 @t26))) % 1.86/2.09 (assume @p12 (forall (@list @t30 @t2 @t29 @t8 @t6 @t27 @t25) (or @t31 @t32 @t28 @t26 (not @t33)))) % 1.86/2.09 (assume @p13 (forall @t36 (or (tptp.defined @t35) @t14 @t34))) % 1.86/2.09 (assume @p14 (tptp.defined tptp.additive_identity)) % 1.86/2.09 (assume @p15 (forall @t15 (or (tptp.defined @t16) @t14))) % 1.86/2.09 (assume @p16 (forall @t36 (or (tptp.defined @t37) @t14 @t34))) % 1.86/2.09 (assume @p17 (tptp.defined tptp.multiplicative_identity)) % 1.86/2.09 (assume @p18 (forall @t15 (or (tptp.defined @t23) @t14 @t22))) % 1.86/2.09 (assume @p19 (forall @t36 (or (tptp.sum @t8 @t6 @t35) @t14 @t34))) % 1.86/2.09 (assume @p20 (forall @t36 (or (tptp.product @t8 @t6 @t37) @t14 @t34))) % 1.86/2.09 (assume @p21 (forall @t36 (or (tptp.sum tptp.additive_identity @t8 @t6) @t40 (not @t38)))) % 1.86/2.09 (assume @p22 (forall (@list @t8 @t2 @t6) (or (tptp.less_or_equal @t8 @t2) @t40 (not (tptp.less_or_equal @t6 @t2))))) % 1.86/2.09 (assume @p23 (forall @t36 (or @t39 @t38 @t14 @t34))) % 1.86/2.09 (assume @p24 (forall (@list @t3 @t5 @t8 @t6 @t2) (or (tptp.less_or_equal @t3 @t5) @t40 (not (tptp.sum @t8 @t2 @t3)) @t7))) % 1.86/2.09 (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))) % 1.86/2.09 (assume @p26 (not (tptp.sum tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity))) % 1.86/2.09 (assume @p27 @t41) % 1.86/2.09 (assume @p28 (tptp.defined tptp.b)) % 1.86/2.09 (assume @p29 (tptp.defined tptp.u)) % 1.86/2.09 (assume @p30 @t42) % 1.86/2.09 (assume @p31 @t43) % 1.86/2.09 (assume @p32 @t44) % 1.86/2.09 (assume @p33 (not @t45)) % 1.86/2.09 (step @p34 :rule instantiate :premises (@p1) :args ((@list tptp.u tptp.additive_identity tptp.v tptp.a tptp.b @t46))) % 1.86/2.09 (step @p35 :rule instantiate :premises (@p5) :args ((@list tptp.a @t46 tptp.additive_identity))) % 1.86/2.09 (step @p36 :rule instantiate :premises (@p4) :args ((@list tptp.a))) % 1.86/2.09 (step @p37 :rule cnf_or_pos :args (@t49)) % 1.86/2.09 (step @p38 :rule reordering :premises (@p37) :args ((or @t47 @t48 (not @t49)))) % 1.86/2.09 (step @p39 :rule chain_m_resolution :premises (@p38 @p27 @p36) :args (@t48 @t50 (@list @t41 @t49))) % 1.86/2.09 (step @p40 :rule cnf_or_pos :args (@t53)) % 1.86/2.09 (step @p41 :rule reordering :premises (@p40) :args ((or @t51 @t52 (not @t53)))) % 1.86/2.09 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p35) :args (@t52 @t50 (@list @t48 @t53))) % 1.86/2.09 (step @p43 :rule instantiate :premises (@p5) :args ((@list tptp.u tptp.a tptp.b))) % 1.86/2.09 (step @p44 :rule cnf_or_pos :args (@t56)) % 1.86/2.09 (step @p45 :rule reordering :premises (@p44) :args ((or @t54 @t55 (not @t56)))) % 1.86/2.09 (step @p46 :rule chain_m_resolution :premises (@p45 @p31 @p43) :args (@t55 @t50 (@list @t43 @t56))) % 1.86/2.09 (step @p47 :rule instantiate :premises (@p5) :args ((@list tptp.additive_identity tptp.u tptp.v))) % 1.86/2.09 (step @p48 :rule cnf_or_pos :args (@t59)) % 1.86/2.09 (step @p49 :rule reordering :premises (@p48) :args ((or @t45 @t58 (not @t59)))) % 1.86/2.09 (step @p50 :rule chain_m_resolution :premises (@p49 @p33 @p47) :args (@t58 @t60 (@list @t45 @t59))) % 1.86/2.09 (step @p51 :rule cnf_or_pos :args (@t65)) % 1.86/2.09 (step @p52 :rule reordering :premises (@p51) :args ((or @t57 @t64 @t63 @t62 (not @t65)))) % 1.86/2.09 (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p46 @p42 @p34) :args (@t62 (@list true false false false) (@list @t57 @t55 @t52 @t65))) % 1.86/2.09 (step @p54 :rule instantiate :premises (@p5) :args ((@list tptp.v tptp.additive_identity tptp.v))) % 1.86/2.09 (step @p55 :rule instantiate :premises (@p3) :args ((@list tptp.v))) % 1.86/2.09 (step @p56 :rule cnf_or_pos :args (@t68)) % 1.86/2.09 (step @p57 :rule reordering :premises (@p56) :args ((or @t66 @t67 (not @t68)))) % 1.86/2.09 (step @p58 :rule chain_m_resolution :premises (@p57 @p30 @p55) :args (@t67 @t50 (@list @t42 @t68))) % 1.86/2.09 (step @p59 :rule cnf_or_pos :args (@t71)) % 1.86/2.09 (step @p60 :rule reordering :premises (@p59) :args ((or @t69 @t70 (not @t71)))) % 1.86/2.09 (step @p61 :rule chain_m_resolution :premises (@p60 @p58 @p54) :args (@t70 @t50 (@list @t67 @t71))) % 1.86/2.09 (step @p62 :rule instantiate :premises (@p5) :args ((@list tptp.v tptp.a tptp.b))) % 1.86/2.09 (step @p63 :rule cnf_or_pos :args (@t74)) % 1.86/2.09 (step @p64 :rule reordering :premises (@p63) :args ((or @t72 @t73 (not @t74)))) % 1.86/2.09 (step @p65 :rule chain_m_resolution :premises (@p64 @p32 @p62) :args (@t73 @t50 (@list @t44 @t74))) % 1.86/2.09 (step @p66 :rule cnf_or_pos :args (@t77)) % 1.86/2.09 (step @p67 :rule reordering :premises (@p66) :args ((or @t76 @t75 @t63 @t61 @t78))) % 1.86/2.09 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p61 @p42 @p53) :args (@t78 (@list false false false true) (@list @t73 @t70 @t52 @t61))) % 1.86/2.09 (assume-push @p75 @t13) % 1.86/2.09 (step @p70 :rule instantiate :premises (@p2) :args ((@list tptp.b @t46 tptp.v tptp.v tptp.a tptp.additive_identity))) % 1.86/2.09 (step-pop @p76 :rule scope :premises (@p70)) % 1.86/2.09 (step @p71 :rule process_scope :premises (@p76) :args (@t77)) % 1.86/2.09 (step @p73 :rule implies_elim :premises (@p71)) % 1.86/2.09 (step @p74 false :rule chain_m_resolution :premises (@p73 @p68 @p2) :args (false @t60 (@list @t77 @t13))) % 1.86/2.09 ) % 1.86/2.10 % SZS output end Proof % 1.86/2.10 % cvc5 exiting %------------------------------------------------------------------------------