%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : FLD002-3 : 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 : n027.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 08:15:19 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : FLD002-3 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n027.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 22:34:21 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.59 % SZS status Unsatisfiable % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.multiplicative_inverse (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.multiplicative_identity $$unsorted) % 0.38/0.59 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.a $$unsorted) % 0.38/0.59 (declare-const tptp.additive_identity $$unsorted) % 0.38/0.59 (declare-const tptp.b $$unsorted) % 0.38/0.59 (declare-const tptp.defined (-> $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.59 (define @t1 () (@var "W" $$unsorted)) % 0.38/0.59 (define @t2 () (@var "Z" $$unsorted)) % 0.38/0.59 (define @t3 () (@var "U" $$unsorted)) % 0.38/0.59 (define @t4 () (tptp.sum @t3 @t2 @t1)) % 0.38/0.59 (define @t5 () (@var "V" $$unsorted)) % 0.38/0.59 (define @t6 () (@var "Y" $$unsorted)) % 0.38/0.59 (define @t7 () (not (tptp.sum @t6 @t2 @t5))) % 0.38/0.59 (define @t8 () (@var "X" $$unsorted)) % 0.38/0.59 (define @t9 () (not (tptp.sum @t8 @t6 @t3))) % 0.38/0.59 (define @t10 () (tptp.sum @t8 @t5 @t1)) % 0.38/0.59 (define @t11 () (@list @t8 @t5 @t1 @t6 @t3 @t2)) % 0.38/0.59 (define @t12 () (@list @t3 @t2 @t1 @t8 @t6 @t5)) % 0.38/0.59 (define @t13 () (not (tptp.defined @t8))) % 0.38/0.59 (define @t14 () (@list @t8)) % 0.38/0.59 (define @t15 () (tptp.additive_inverse @t8)) % 0.38/0.59 (define @t16 () (@list @t6 @t8 @t2)) % 0.38/0.59 (define @t17 () (tptp.product @t3 @t2 @t1)) % 0.38/0.59 (define @t18 () (not (tptp.product @t6 @t2 @t5))) % 0.38/0.59 (define @t19 () (not (tptp.product @t8 @t6 @t3))) % 0.38/0.59 (define @t20 () (tptp.product @t8 @t5 @t1)) % 0.38/0.59 (define @t21 () (tptp.sum tptp.additive_identity @t8 tptp.additive_identity)) % 0.38/0.59 (define @t22 () (tptp.multiplicative_inverse @t8)) % 0.38/0.59 (define @t23 () (not (tptp.product @t8 @t6 @t2))) % 0.38/0.59 (define @t24 () (@var "D" $$unsorted)) % 0.38/0.59 (define @t25 () (not (tptp.product @t6 @t2 @t24))) % 0.38/0.59 (define @t26 () (@var "C" $$unsorted)) % 0.38/0.59 (define @t27 () (not (tptp.product @t8 @t2 @t26))) % 0.38/0.59 (define @t28 () (@var "B" $$unsorted)) % 0.38/0.59 (define @t29 () (@var "A" $$unsorted)) % 0.38/0.59 (define @t30 () (tptp.product @t29 @t2 @t28)) % 0.38/0.59 (define @t31 () (not (tptp.sum @t8 @t6 @t29))) % 0.38/0.59 (define @t32 () (tptp.sum @t26 @t24 @t28)) % 0.38/0.59 (define @t33 () (forall (@list @t26 @t24 @t28 @t8 @t6 @t29 @t2) (or @t32 @t31 (not @t30) @t27 @t25))) % 0.38/0.59 (define @t34 () (not (tptp.defined @t6))) % 0.38/0.59 (define @t35 () (tptp.add @t8 @t6)) % 0.38/0.59 (define @t36 () (@list @t8 @t6)) % 0.38/0.59 (define @t37 () (tptp.defined tptp.additive_identity)) % 0.38/0.59 (define @t38 () (tptp.multiply @t8 @t6)) % 0.38/0.59 (define @t39 () (tptp.less_or_equal @t6 @t8)) % 0.38/0.59 (define @t40 () (tptp.less_or_equal @t8 @t6)) % 0.38/0.59 (define @t41 () (not @t40)) % 0.38/0.59 (define @t42 () (tptp.defined tptp.a)) % 0.38/0.59 (define @t43 () (tptp.product tptp.multiplicative_identity tptp.a tptp.b)) % 0.38/0.59 (define @t44 () (tptp.sum tptp.additive_identity tptp.a tptp.b)) % 0.38/0.59 (define @t45 () (@list tptp.a)) % 0.38/0.59 (define @t46 () (not @t42)) % 0.38/0.59 (define @t47 () (tptp.product tptp.multiplicative_identity tptp.a tptp.a)) % 0.38/0.59 (define @t48 () (or @t47 @t46)) % 0.38/0.59 (define @t49 () (@list false false)) % 0.38/0.59 (define @t50 () (not @t47)) % 0.38/0.59 (define @t51 () (tptp.product tptp.a tptp.multiplicative_identity tptp.a)) % 0.38/0.59 (define @t52 () (or @t51 @t50)) % 0.38/0.59 (define @t53 () (not @t37)) % 0.38/0.59 (define @t54 () (tptp.product tptp.multiplicative_identity tptp.additive_identity tptp.additive_identity)) % 0.38/0.59 (define @t55 () (or @t54 @t53)) % 0.38/0.59 (define @t56 () (not @t54)) % 0.38/0.59 (define @t57 () (tptp.product tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity)) % 0.38/0.59 (define @t58 () (or @t57 @t56)) % 0.38/0.59 (define @t59 () (tptp.sum tptp.additive_identity tptp.a tptp.a)) % 0.38/0.59 (define @t60 () (or @t59 @t46)) % 0.38/0.59 (define @t61 () (not @t59)) % 0.38/0.59 (define @t62 () (tptp.sum tptp.a tptp.additive_identity tptp.a)) % 0.38/0.59 (define @t63 () (or @t62 @t61)) % 0.38/0.59 (define @t64 () (not @t43)) % 0.38/0.59 (define @t65 () (tptp.product tptp.a tptp.multiplicative_identity tptp.b)) % 0.38/0.59 (define @t66 () (or @t65 @t64)) % 0.38/0.59 (define @t67 () (tptp.sum tptp.a tptp.additive_identity tptp.b)) % 0.38/0.59 (define @t68 () (not @t67)) % 0.38/0.59 (define @t69 () (or @t44 @t68)) % 0.38/0.59 (define @t70 () (@list true false)) % 0.38/0.59 (define @t71 () (not @t57)) % 0.38/0.59 (define @t72 () (not @t51)) % 0.38/0.59 (define @t73 () (not @t65)) % 0.38/0.59 (define @t74 () (not @t62)) % 0.38/0.59 (define @t75 () (or @t67 @t74 @t73 @t72 @t71)) % 0.38/0.59 (define @t76 () (not @t75)) % 0.38/0.59 (assume @p1 (forall @t11 (or @t10 @t9 @t7 (not @t4)))) % 0.38/0.59 (assume @p2 (forall @t12 (or @t4 @t9 @t7 (not @t10)))) % 0.38/0.59 (assume @p3 (forall @t14 (or (tptp.sum tptp.additive_identity @t8 @t8) @t13))) % 0.38/0.59 (assume @p4 (forall @t14 (or (tptp.sum @t15 @t8 tptp.additive_identity) @t13))) % 0.38/0.59 (assume @p5 (forall @t16 (or (tptp.sum @t6 @t8 @t2) (not (tptp.sum @t8 @t6 @t2))))) % 0.38/0.59 (assume @p6 (forall @t11 (or @t20 @t19 @t18 (not @t17)))) % 0.38/0.59 (assume @p7 (forall @t12 (or @t17 @t19 @t18 (not @t20)))) % 0.38/0.59 (assume @p8 (forall @t14 (or (tptp.product tptp.multiplicative_identity @t8 @t8) @t13))) % 0.38/0.59 (assume @p9 (forall @t14 (or (tptp.product @t22 @t8 tptp.multiplicative_identity) @t21 @t13))) % 0.38/0.59 (assume @p10 (forall @t16 (or (tptp.product @t6 @t8 @t2) @t23))) % 0.38/0.59 (assume @p11 @t33) % 0.38/0.59 (assume @p12 (forall (@list @t29 @t2 @t28 @t8 @t6 @t26 @t24) (or @t30 @t31 @t27 @t25 (not @t32)))) % 0.38/0.59 (assume @p13 (forall @t36 (or (tptp.defined @t35) @t13 @t34))) % 0.38/0.59 (assume @p14 @t37) % 0.38/0.59 (assume @p15 (forall @t14 (or (tptp.defined @t15) @t13))) % 0.38/0.59 (assume @p16 (forall @t36 (or (tptp.defined @t38) @t13 @t34))) % 0.38/0.59 (assume @p17 (tptp.defined tptp.multiplicative_identity)) % 0.38/0.59 (assume @p18 (forall @t14 (or (tptp.defined @t22) @t13 @t21))) % 0.38/0.59 (assume @p19 (forall @t36 (or (tptp.sum @t8 @t6 @t35) @t13 @t34))) % 0.38/0.59 (assume @p20 (forall @t36 (or (tptp.product @t8 @t6 @t38) @t13 @t34))) % 0.38/0.59 (assume @p21 (forall @t36 (or (tptp.sum tptp.additive_identity @t8 @t6) @t41 (not @t39)))) % 0.38/0.59 (assume @p22 (forall (@list @t8 @t2 @t6) (or (tptp.less_or_equal @t8 @t2) @t41 (not (tptp.less_or_equal @t6 @t2))))) % 0.38/0.59 (assume @p23 (forall @t36 (or @t40 @t39 @t13 @t34))) % 0.38/0.59 (assume @p24 (forall (@list @t3 @t5 @t8 @t6 @t2) (or (tptp.less_or_equal @t3 @t5) @t41 (not (tptp.sum @t8 @t2 @t3)) @t7))) % 0.38/0.59 (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)) @t23))) % 0.38/0.59 (assume @p26 (not (tptp.sum tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity))) % 0.38/0.59 (assume @p27 @t42) % 0.38/0.59 (assume @p28 (tptp.defined tptp.b)) % 0.38/0.59 (assume @p29 @t43) % 0.38/0.59 (assume @p30 (not @t44)) % 0.38/0.59 (step @p31 :rule instantiate :premises (@p10) :args ((@list tptp.a tptp.multiplicative_identity tptp.a))) % 0.38/0.59 (step @p32 :rule instantiate :premises (@p8) :args (@t45)) % 0.38/0.59 (step @p33 :rule cnf_or_pos :args (@t48)) % 0.38/0.59 (step @p34 :rule reordering :premises (@p33) :args ((or @t46 @t47 (not @t48)))) % 0.38/0.59 (step @p35 :rule chain_m_resolution :premises (@p34 @p27 @p32) :args (@t47 @t49 (@list @t42 @t48))) % 0.38/0.59 (step @p36 :rule cnf_or_pos :args (@t52)) % 0.38/0.59 (step @p37 :rule reordering :premises (@p36) :args ((or @t50 @t51 (not @t52)))) % 0.38/0.59 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p31) :args (@t51 @t49 (@list @t47 @t52))) % 0.38/0.59 (step @p39 :rule instantiate :premises (@p10) :args ((@list tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity))) % 0.38/0.59 (step @p40 :rule instantiate :premises (@p8) :args ((@list tptp.additive_identity))) % 0.38/0.59 (step @p41 :rule cnf_or_pos :args (@t55)) % 0.38/0.59 (step @p42 :rule reordering :premises (@p41) :args ((or @t53 @t54 (not @t55)))) % 0.38/0.59 (step @p43 :rule chain_m_resolution :premises (@p42 @p14 @p40) :args (@t54 @t49 (@list @t37 @t55))) % 0.38/0.59 (step @p44 :rule cnf_or_pos :args (@t58)) % 0.38/0.59 (step @p45 :rule reordering :premises (@p44) :args ((or @t56 @t57 (not @t58)))) % 0.38/0.59 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p39) :args (@t57 @t49 (@list @t54 @t58))) % 0.38/0.59 (step @p47 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.additive_identity tptp.a))) % 0.38/0.59 (step @p48 :rule instantiate :premises (@p3) :args (@t45)) % 0.38/0.59 (step @p49 :rule cnf_or_pos :args (@t60)) % 0.38/0.59 (step @p50 :rule reordering :premises (@p49) :args ((or @t46 @t59 (not @t60)))) % 0.38/0.59 (step @p51 :rule chain_m_resolution :premises (@p50 @p27 @p48) :args (@t59 @t49 (@list @t42 @t60))) % 0.38/0.59 (step @p52 :rule cnf_or_pos :args (@t63)) % 0.38/0.59 (step @p53 :rule reordering :premises (@p52) :args ((or @t61 @t62 (not @t63)))) % 0.38/0.59 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p47) :args (@t62 @t49 (@list @t59 @t63))) % 0.38/0.59 (step @p55 :rule instantiate :premises (@p10) :args ((@list tptp.a tptp.multiplicative_identity tptp.b))) % 0.38/0.59 (step @p56 :rule cnf_or_pos :args (@t66)) % 0.38/0.59 (step @p57 :rule reordering :premises (@p56) :args ((or @t64 @t65 (not @t66)))) % 0.38/0.59 (step @p58 :rule chain_m_resolution :premises (@p57 @p29 @p55) :args (@t65 @t49 (@list @t43 @t66))) % 0.38/0.59 (step @p59 :rule instantiate :premises (@p5) :args ((@list tptp.additive_identity tptp.a tptp.b))) % 0.38/0.59 (step @p60 :rule cnf_or_pos :args (@t69)) % 0.38/0.59 (step @p61 :rule reordering :premises (@p60) :args ((or @t44 @t68 (not @t69)))) % 0.38/0.59 (step @p62 :rule chain_m_resolution :premises (@p61 @p30 @p59) :args (@t68 @t70 (@list @t44 @t69))) % 0.38/0.59 (step @p63 :rule cnf_or_pos :args (@t75)) % 0.38/0.59 (step @p64 :rule reordering :premises (@p63) :args ((or @t67 @t73 @t74 @t71 @t72 @t76))) % 0.38/0.59 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p58 @p54 @p46 @p38) :args (@t76 (@list true false false false false) (@list @t67 @t65 @t62 @t57 @t51))) % 0.38/0.59 (assume-push @p72 @t33) % 0.38/0.59 (step @p67 :rule instantiate :premises (@p11) :args ((@list tptp.a tptp.additive_identity tptp.b tptp.a tptp.additive_identity tptp.a tptp.multiplicative_identity))) % 0.38/0.59 (step-pop @p73 :rule scope :premises (@p67)) % 0.38/0.59 (step @p68 :rule process_scope :premises (@p73) :args (@t75)) % 0.38/0.59 (step @p70 :rule implies_elim :premises (@p68)) % 0.38/0.59 (step @p71 false :rule chain_m_resolution :premises (@p70 @p65 @p11) :args (false @t70 (@list @t75 @t33))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------