%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : FLD049-4 : 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 : n025.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 08:15:30 AM UTC 2026 % Result : Unsatisfiable 32.71s 32.99s % Output : Proof 32.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : FLD049-4 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n025.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Mon Jun 1 22:41:46 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.31/15.55 --- Run --no-e-matching --full-saturate-quant at 6... % 21.32/21.58 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 21.41/27.61 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 32.71/32.99 % SZS status Unsatisfiable % 32.71/32.99 % SZS output start Proof % 32.71/32.99 ( % 32.71/32.99 (declare-sort $$unsorted 0) % 32.71/32.99 (declare-const tptp.k $$unsorted) % 32.71/32.99 (declare-const tptp.d $$unsorted) % 32.71/32.99 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 32.71/32.99 (declare-const tptp.defined (-> $$unsorted Bool)) % 32.71/32.99 (declare-const tptp.b $$unsorted) % 32.71/32.99 (declare-const tptp.additive_identity $$unsorted) % 32.71/32.99 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 32.71/32.99 (declare-const tptp.a $$unsorted) % 32.71/32.99 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 32.71/32.99 (declare-const tptp.multiplicative_identity $$unsorted) % 32.71/32.99 (declare-const tptp.multiplicative_inverse (-> $$unsorted $$unsorted)) % 32.71/32.99 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 32.71/32.99 (declare-const tptp.s $$unsorted) % 32.71/32.99 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 32.71/32.99 (declare-const tptp.c $$unsorted) % 32.71/32.99 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 32.71/32.99 (define @t1 () (@var "W" $$unsorted)) % 32.71/32.99 (define @t2 () (@var "Z" $$unsorted)) % 32.71/32.99 (define @t3 () (@var "U" $$unsorted)) % 32.71/32.99 (define @t4 () (tptp.sum @t3 @t2 @t1)) % 32.71/32.99 (define @t5 () (@var "V" $$unsorted)) % 32.71/32.99 (define @t6 () (@var "Y" $$unsorted)) % 32.71/32.99 (define @t7 () (not (tptp.sum @t6 @t2 @t5))) % 32.71/32.99 (define @t8 () (@var "X" $$unsorted)) % 32.71/32.99 (define @t9 () (not (tptp.sum @t8 @t6 @t3))) % 32.71/32.99 (define @t10 () (tptp.sum @t8 @t5 @t1)) % 32.71/32.99 (define @t11 () (@list @t8 @t5 @t1 @t6 @t3 @t2)) % 32.71/32.99 (define @t12 () (@list @t3 @t2 @t1 @t8 @t6 @t5)) % 32.71/32.99 (define @t13 () (not (tptp.defined @t8))) % 32.71/32.99 (define @t14 () (@list @t8)) % 32.71/32.99 (define @t15 () (tptp.additive_inverse @t8)) % 32.71/32.99 (define @t16 () (@list @t6 @t8 @t2)) % 32.71/32.99 (define @t17 () (tptp.product @t3 @t2 @t1)) % 32.71/32.99 (define @t18 () (not (tptp.product @t6 @t2 @t5))) % 32.71/32.99 (define @t19 () (not (tptp.product @t8 @t6 @t3))) % 32.71/32.99 (define @t20 () (tptp.product @t8 @t5 @t1)) % 32.71/32.99 (define @t21 () (forall @t12 (or @t17 @t19 @t18 (not @t20)))) % 32.71/32.99 (define @t22 () (tptp.sum tptp.additive_identity @t8 tptp.additive_identity)) % 32.71/32.99 (define @t23 () (tptp.multiplicative_inverse @t8)) % 32.71/32.99 (define @t24 () (not (tptp.product @t8 @t6 @t2))) % 32.71/32.99 (define @t25 () (@var "D" $$unsorted)) % 32.71/32.99 (define @t26 () (not (tptp.product @t6 @t2 @t25))) % 32.71/32.99 (define @t27 () (@var "C" $$unsorted)) % 32.71/32.99 (define @t28 () (not (tptp.product @t8 @t2 @t27))) % 32.71/32.99 (define @t29 () (@var "B" $$unsorted)) % 32.71/32.99 (define @t30 () (@var "A" $$unsorted)) % 32.71/32.99 (define @t31 () (tptp.product @t30 @t2 @t29)) % 32.71/32.99 (define @t32 () (not (tptp.sum @t8 @t6 @t30))) % 32.71/32.99 (define @t33 () (tptp.sum @t27 @t25 @t29)) % 32.71/32.99 (define @t34 () (not (tptp.defined @t6))) % 32.71/32.99 (define @t35 () (tptp.add @t8 @t6)) % 32.71/32.99 (define @t36 () (@list @t8 @t6)) % 32.71/32.99 (define @t37 () (tptp.multiply @t8 @t6)) % 32.71/32.99 (define @t38 () (tptp.less_or_equal @t6 @t8)) % 32.71/32.99 (define @t39 () (tptp.less_or_equal @t8 @t6)) % 32.71/32.99 (define @t40 () (not @t39)) % 32.71/32.99 (define @t41 () (tptp.defined tptp.b)) % 32.71/32.99 (define @t42 () (tptp.defined tptp.c)) % 32.71/32.99 (define @t43 () (tptp.defined tptp.d)) % 32.71/32.99 (define @t44 () (tptp.sum tptp.additive_identity tptp.b tptp.additive_identity)) % 32.71/32.99 (define @t45 () (tptp.sum tptp.additive_identity tptp.d tptp.additive_identity)) % 32.71/32.99 (define @t46 () (tptp.multiplicative_inverse tptp.b)) % 32.71/32.99 (define @t47 () (tptp.product tptp.a @t46 tptp.s)) % 32.71/32.99 (define @t48 () (tptp.multiplicative_inverse tptp.d)) % 32.71/32.99 (define @t49 () (tptp.product tptp.c @t48 tptp.s)) % 32.71/32.99 (define @t50 () (tptp.product tptp.a tptp.d tptp.k)) % 32.71/32.99 (define @t51 () (tptp.product tptp.b tptp.c tptp.k)) % 32.71/32.99 (define @t52 () (@list tptp.d)) % 32.71/32.99 (define @t53 () (not @t43)) % 32.71/32.99 (define @t54 () (tptp.product tptp.multiplicative_identity tptp.d tptp.d)) % 32.71/32.99 (define @t55 () (or @t54 @t53)) % 32.71/32.99 (define @t56 () (@list false false)) % 32.71/32.99 (define @t57 () (not @t54)) % 32.71/32.99 (define @t58 () (tptp.product tptp.d tptp.multiplicative_identity tptp.d)) % 32.71/32.99 (define @t59 () (or @t58 @t57)) % 32.71/32.99 (define @t60 () (not @t50)) % 32.71/32.99 (define @t61 () (not @t58)) % 32.71/32.99 (define @t62 () (tptp.product tptp.k tptp.multiplicative_identity tptp.k)) % 32.71/32.99 (define @t63 () (or @t62 @t60 @t61 @t60)) % 32.71/32.99 (define @t64 () (not @t41)) % 32.71/32.99 (define @t65 () (tptp.product @t46 tptp.b tptp.multiplicative_identity)) % 32.71/32.99 (define @t66 () (or @t65 @t44 @t64)) % 32.71/32.99 (define @t67 () (@list true false false)) % 32.71/32.99 (define @t68 () (tptp.product tptp.c tptp.b tptp.k)) % 32.71/32.99 (define @t69 () (not @t68)) % 32.71/32.99 (define @t70 () (or @t51 @t69)) % 32.71/32.99 (define @t71 () (@list true false)) % 32.71/32.99 (define @t72 () (not @t62)) % 32.71/32.99 (define @t73 () (not @t65)) % 32.71/32.99 (define @t74 () (tptp.product tptp.k @t46 tptp.c)) % 32.71/32.99 (define @t75 () (not @t74)) % 32.71/32.99 (define @t76 () (or @t68 @t75 @t73 @t72)) % 32.71/32.99 (define @t77 () (tptp.product tptp.d tptp.a tptp.k)) % 32.71/32.99 (define @t78 () (or @t77 @t60)) % 32.71/32.99 (define @t79 () (not @t42)) % 32.71/32.99 (define @t80 () (tptp.product tptp.multiplicative_identity tptp.c tptp.c)) % 32.71/32.99 (define @t81 () (or @t80 @t79)) % 32.71/32.99 (define @t82 () (not @t80)) % 32.71/32.99 (define @t83 () (tptp.product tptp.c tptp.multiplicative_identity tptp.c)) % 32.71/32.99 (define @t84 () (or @t83 @t82)) % 32.71/32.99 (define @t85 () (tptp.product @t48 tptp.d tptp.multiplicative_identity)) % 32.71/32.99 (define @t86 () (or @t85 @t45 @t53)) % 32.71/32.99 (define @t87 () (not @t83)) % 32.71/32.99 (define @t88 () (not @t85)) % 32.71/32.99 (define @t89 () (not @t49)) % 32.71/32.99 (define @t90 () (tptp.product tptp.s tptp.d tptp.c)) % 32.71/32.99 (define @t91 () (or @t90 @t89 @t88 @t87)) % 32.71/32.99 (define @t92 () (not @t90)) % 32.71/32.99 (define @t93 () (tptp.product tptp.d tptp.s tptp.c)) % 32.71/32.99 (define @t94 () (or @t93 @t92)) % 32.71/32.99 (define @t95 () (not @t93)) % 32.71/32.99 (define @t96 () (not @t47)) % 32.71/32.99 (define @t97 () (not @t77)) % 32.71/32.99 (define @t98 () (or @t74 @t97 @t96 @t95)) % 32.71/32.99 (define @t99 () (not @t98)) % 32.71/32.99 (assume @p1 (forall @t11 (or @t10 @t9 @t7 (not @t4)))) % 32.71/32.99 (assume @p2 (forall @t12 (or @t4 @t9 @t7 (not @t10)))) % 32.71/32.99 (assume @p3 (forall @t14 (or (tptp.sum tptp.additive_identity @t8 @t8) @t13))) % 32.71/32.99 (assume @p4 (forall @t14 (or (tptp.sum @t15 @t8 tptp.additive_identity) @t13))) % 32.71/32.99 (assume @p5 (forall @t16 (or (tptp.sum @t6 @t8 @t2) (not (tptp.sum @t8 @t6 @t2))))) % 32.71/32.99 (assume @p6 (forall @t11 (or @t20 @t19 @t18 (not @t17)))) % 32.71/32.99 (assume @p7 @t21) % 32.71/32.99 (assume @p8 (forall @t14 (or (tptp.product tptp.multiplicative_identity @t8 @t8) @t13))) % 32.71/32.99 (assume @p9 (forall @t14 (or (tptp.product @t23 @t8 tptp.multiplicative_identity) @t22 @t13))) % 32.71/32.99 (assume @p10 (forall @t16 (or (tptp.product @t6 @t8 @t2) @t24))) % 32.71/32.99 (assume @p11 (forall (@list @t27 @t25 @t29 @t8 @t6 @t30 @t2) (or @t33 @t32 (not @t31) @t28 @t26))) % 32.71/32.99 (assume @p12 (forall (@list @t30 @t2 @t29 @t8 @t6 @t27 @t25) (or @t31 @t32 @t28 @t26 (not @t33)))) % 32.71/32.99 (assume @p13 (forall @t36 (or (tptp.defined @t35) @t13 @t34))) % 32.71/32.99 (assume @p14 (tptp.defined tptp.additive_identity)) % 32.71/32.99 (assume @p15 (forall @t14 (or (tptp.defined @t15) @t13))) % 32.71/32.99 (assume @p16 (forall @t36 (or (tptp.defined @t37) @t13 @t34))) % 32.71/32.99 (assume @p17 (tptp.defined tptp.multiplicative_identity)) % 32.71/32.99 (assume @p18 (forall @t14 (or (tptp.defined @t23) @t13 @t22))) % 32.71/32.99 (assume @p19 (forall @t36 (or (tptp.sum @t8 @t6 @t35) @t13 @t34))) % 32.71/32.99 (assume @p20 (forall @t36 (or (tptp.product @t8 @t6 @t37) @t13 @t34))) % 32.71/32.99 (assume @p21 (forall @t36 (or (tptp.sum tptp.additive_identity @t8 @t6) @t40 (not @t38)))) % 32.71/32.99 (assume @p22 (forall (@list @t8 @t2 @t6) (or (tptp.less_or_equal @t8 @t2) @t40 (not (tptp.less_or_equal @t6 @t2))))) % 32.71/32.99 (assume @p23 (forall @t36 (or @t39 @t38 @t13 @t34))) % 32.71/32.99 (assume @p24 (forall (@list @t3 @t5 @t8 @t6 @t2) (or (tptp.less_or_equal @t3 @t5) @t40 (not (tptp.sum @t8 @t2 @t3)) @t7))) % 32.71/32.99 (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))) % 32.71/32.99 (assume @p26 (not (tptp.sum tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity))) % 32.71/32.99 (assume @p27 (tptp.defined tptp.a)) % 32.71/32.99 (assume @p28 @t41) % 32.71/32.99 (assume @p29 @t42) % 32.71/32.99 (assume @p30 @t43) % 32.71/32.99 (assume @p31 (tptp.defined tptp.k)) % 32.71/32.99 (assume @p32 (tptp.defined tptp.s)) % 32.71/32.99 (assume @p33 (not @t44)) % 32.71/32.99 (assume @p34 (not @t45)) % 32.71/32.99 (assume @p35 @t47) % 32.71/32.99 (assume @p36 @t49) % 32.71/32.99 (assume @p37 @t50) % 32.71/32.99 (assume @p38 (not @t51)) % 32.71/32.99 (step @p39 :rule instantiate :premises (@p7) :args ((@list tptp.c tptp.b tptp.k tptp.k @t46 tptp.multiplicative_identity))) % 32.71/32.99 (step @p40 :rule instantiate :premises (@p7) :args ((@list tptp.k tptp.multiplicative_identity tptp.k tptp.a tptp.d tptp.d))) % 32.71/32.99 (step @p41 :rule instantiate :premises (@p10) :args ((@list tptp.d tptp.multiplicative_identity tptp.d))) % 32.71/32.99 (step @p42 :rule instantiate :premises (@p8) :args (@t52)) % 32.71/32.99 (step @p43 :rule cnf_or_pos :args (@t55)) % 32.71/32.99 (step @p44 :rule reordering :premises (@p43) :args ((or @t53 @t54 (not @t55)))) % 32.71/32.99 (step @p45 :rule chain_m_resolution :premises (@p44 @p30 @p42) :args (@t54 @t56 (@list @t43 @t55))) % 32.71/32.99 (step @p46 :rule cnf_or_pos :args (@t59)) % 32.71/32.99 (step @p47 :rule reordering :premises (@p46) :args ((or @t58 @t57 (not @t59)))) % 32.71/32.99 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p41) :args (@t58 @t56 (@list @t54 @t59))) % 32.71/32.99 (step @p49 :rule cnf_or_pos :args (@t63)) % 32.71/32.99 (step @p50 :rule factoring :premises (@p49)) % 32.71/32.99 (step @p51 :rule reordering :premises (@p50) :args ((or @t60 @t61 @t62 (not @t63)))) % 32.71/32.99 (step @p52 :rule chain_m_resolution :premises (@p51 @p37 @p48 @p40) :args (@t62 (@list false false false) (@list @t50 @t58 @t63))) % 32.71/32.99 (step @p53 :rule instantiate :premises (@p9) :args ((@list tptp.b))) % 32.71/32.99 (step @p54 :rule cnf_or_pos :args (@t66)) % 32.71/32.99 (step @p55 :rule reordering :premises (@p54) :args ((or @t44 @t64 @t65 (not @t66)))) % 32.71/32.99 (step @p56 :rule chain_m_resolution :premises (@p55 @p33 @p28 @p53) :args (@t65 @t67 (@list @t44 @t41 @t66))) % 32.71/32.99 (step @p57 :rule instantiate :premises (@p10) :args ((@list tptp.b tptp.c tptp.k))) % 32.71/32.99 (step @p58 :rule cnf_or_pos :args (@t70)) % 32.71/32.99 (step @p59 :rule reordering :premises (@p58) :args ((or @t51 @t69 (not @t70)))) % 32.71/32.99 (step @p60 :rule chain_m_resolution :premises (@p59 @p38 @p57) :args (@t69 @t71 (@list @t51 @t70))) % 32.71/32.99 (step @p61 :rule cnf_or_pos :args (@t76)) % 32.71/32.99 (step @p62 :rule reordering :premises (@p61) :args ((or @t68 @t73 @t72 @t75 (not @t76)))) % 32.71/32.99 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p56 @p52 @p39) :args (@t75 (@list true false false false) (@list @t68 @t65 @t62 @t76))) % 32.71/32.99 (step @p64 :rule instantiate :premises (@p10) :args ((@list tptp.d tptp.a tptp.k))) % 32.71/32.99 (step @p65 :rule cnf_or_pos :args (@t78)) % 32.71/32.99 (step @p66 :rule reordering :premises (@p65) :args ((or @t60 @t77 (not @t78)))) % 32.71/32.99 (step @p67 :rule chain_m_resolution :premises (@p66 @p37 @p64) :args (@t77 @t56 (@list @t50 @t78))) % 32.71/32.99 (step @p68 :rule instantiate :premises (@p10) :args ((@list tptp.d tptp.s tptp.c))) % 32.71/32.99 (step @p69 :rule instantiate :premises (@p7) :args ((@list tptp.s tptp.d tptp.c tptp.c @t48 tptp.multiplicative_identity))) % 32.71/32.99 (step @p70 :rule instantiate :premises (@p10) :args ((@list tptp.c tptp.multiplicative_identity tptp.c))) % 32.71/32.99 (step @p71 :rule instantiate :premises (@p8) :args ((@list tptp.c))) % 32.71/32.99 (step @p72 :rule cnf_or_pos :args (@t81)) % 32.71/32.99 (step @p73 :rule reordering :premises (@p72) :args ((or @t79 @t80 (not @t81)))) % 32.71/32.99 (step @p74 :rule chain_m_resolution :premises (@p73 @p29 @p71) :args (@t80 @t56 (@list @t42 @t81))) % 32.71/32.99 (step @p75 :rule cnf_or_pos :args (@t84)) % 32.71/32.99 (step @p76 :rule reordering :premises (@p75) :args ((or @t82 @t83 (not @t84)))) % 32.71/32.99 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p70) :args (@t83 @t56 (@list @t80 @t84))) % 32.71/32.99 (step @p78 :rule instantiate :premises (@p9) :args (@t52)) % 32.71/32.99 (step @p79 :rule cnf_or_pos :args (@t86)) % 32.71/32.99 (step @p80 :rule reordering :premises (@p79) :args ((or @t45 @t53 @t85 (not @t86)))) % 32.71/32.99 (step @p81 :rule chain_m_resolution :premises (@p80 @p34 @p30 @p78) :args (@t85 @t67 (@list @t45 @t43 @t86))) % 32.71/32.99 (step @p82 :rule cnf_or_pos :args (@t91)) % 32.71/32.99 (step @p83 :rule reordering :premises (@p82) :args ((or @t89 @t88 @t90 @t87 (not @t91)))) % 32.71/32.99 (step @p84 :rule chain_m_resolution :premises (@p83 @p36 @p81 @p77 @p69) :args (@t90 (@list false false false false) (@list @t49 @t85 @t83 @t91))) % 32.71/32.99 (step @p85 :rule cnf_or_pos :args (@t94)) % 32.71/32.99 (step @p86 :rule reordering :premises (@p85) :args ((or @t92 @t93 (not @t94)))) % 32.71/32.99 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p68) :args (@t93 @t56 (@list @t90 @t94))) % 32.71/32.99 (step @p88 :rule cnf_or_pos :args (@t98)) % 32.71/32.99 (step @p89 :rule reordering :premises (@p88) :args ((or @t96 @t95 @t97 @t74 @t99))) % 32.71/32.99 (step @p90 :rule chain_m_resolution :premises (@p89 @p35 @p87 @p67 @p63) :args (@t99 (@list false false false true) (@list @t47 @t93 @t77 @t74))) % 32.71/32.99 (assume-push @p97 @t21) % 32.71/32.99 (step @p92 :rule instantiate :premises (@p7) :args ((@list tptp.k @t46 tptp.c tptp.d tptp.a tptp.s))) % 32.71/32.99 (step-pop @p98 :rule scope :premises (@p92)) % 32.71/32.99 (step @p93 :rule process_scope :premises (@p98) :args (@t98)) % 32.71/32.99 (step @p95 :rule implies_elim :premises (@p93)) % 32.71/32.99 (step @p96 false :rule chain_m_resolution :premises (@p95 @p90 @p7) :args (false @t71 (@list @t98 @t21))) % 32.71/32.99 ) % 32.71/33.00 % SZS output end Proof % 32.71/33.00 % cvc5 exiting %------------------------------------------------------------------------------