%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : FLD060-4 : 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 : n002.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 08:15:33 AM UTC 2026 % Result : Unsatisfiable 38.75s 38.93s % Output : Proof 38.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : FLD060-4 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n002.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Mon Jun 1 22:45:33 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.33/15.56 --- Run --no-e-matching --full-saturate-quant at 6... % 21.34/21.59 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.45/27.62 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.44/33.66 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 38.75/38.93 % SZS status Unsatisfiable % 38.75/38.93 % SZS output start Proof % 38.75/38.94 ( % 38.75/38.94 (declare-sort $$unsorted 0) % 38.75/38.94 (declare-const tptp.v $$unsorted) % 38.75/38.94 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 38.75/38.94 (declare-const tptp.defined (-> $$unsorted Bool)) % 38.75/38.94 (declare-const tptp.b $$unsorted) % 38.75/38.94 (declare-const tptp.additive_identity $$unsorted) % 38.75/38.94 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 38.75/38.94 (declare-const tptp.a $$unsorted) % 38.75/38.94 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 38.75/38.94 (declare-const tptp.multiplicative_identity $$unsorted) % 38.75/38.94 (declare-const tptp.multiplicative_inverse (-> $$unsorted $$unsorted)) % 38.75/38.94 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 38.75/38.94 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 38.75/38.94 (declare-const tptp.u $$unsorted) % 38.75/38.94 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 38.75/38.94 (define @t1 () (@var "W" $$unsorted)) % 38.75/38.94 (define @t2 () (@var "Z" $$unsorted)) % 38.75/38.94 (define @t3 () (@var "U" $$unsorted)) % 38.75/38.94 (define @t4 () (tptp.sum @t3 @t2 @t1)) % 38.75/38.94 (define @t5 () (@var "V" $$unsorted)) % 38.75/38.94 (define @t6 () (@var "Y" $$unsorted)) % 38.75/38.94 (define @t7 () (not (tptp.sum @t6 @t2 @t5))) % 38.75/38.94 (define @t8 () (@var "X" $$unsorted)) % 38.75/38.94 (define @t9 () (not (tptp.sum @t8 @t6 @t3))) % 38.75/38.94 (define @t10 () (tptp.sum @t8 @t5 @t1)) % 38.75/38.94 (define @t11 () (@list @t8 @t5 @t1 @t6 @t3 @t2)) % 38.75/38.94 (define @t12 () (@list @t3 @t2 @t1 @t8 @t6 @t5)) % 38.75/38.94 (define @t13 () (not (tptp.defined @t8))) % 38.75/38.94 (define @t14 () (@list @t8)) % 38.75/38.94 (define @t15 () (tptp.additive_inverse @t8)) % 38.75/38.94 (define @t16 () (@list @t6 @t8 @t2)) % 38.75/38.94 (define @t17 () (tptp.product @t3 @t2 @t1)) % 38.75/38.94 (define @t18 () (not (tptp.product @t6 @t2 @t5))) % 38.75/38.94 (define @t19 () (not (tptp.product @t8 @t6 @t3))) % 38.75/38.94 (define @t20 () (tptp.product @t8 @t5 @t1)) % 38.75/38.94 (define @t21 () (tptp.sum tptp.additive_identity @t8 tptp.additive_identity)) % 38.75/38.94 (define @t22 () (tptp.multiplicative_inverse @t8)) % 38.75/38.94 (define @t23 () (not (tptp.product @t8 @t6 @t2))) % 38.75/38.94 (define @t24 () (@var "D" $$unsorted)) % 38.75/38.94 (define @t25 () (not (tptp.product @t6 @t2 @t24))) % 38.75/38.94 (define @t26 () (@var "C" $$unsorted)) % 38.75/38.94 (define @t27 () (not (tptp.product @t8 @t2 @t26))) % 38.75/38.94 (define @t28 () (@var "B" $$unsorted)) % 38.75/38.94 (define @t29 () (@var "A" $$unsorted)) % 38.75/38.94 (define @t30 () (tptp.product @t29 @t2 @t28)) % 38.75/38.94 (define @t31 () (not (tptp.sum @t8 @t6 @t29))) % 38.75/38.94 (define @t32 () (tptp.sum @t26 @t24 @t28)) % 38.75/38.94 (define @t33 () (not (tptp.defined @t6))) % 38.75/38.94 (define @t34 () (tptp.add @t8 @t6)) % 38.75/38.94 (define @t35 () (@list @t8 @t6)) % 38.75/38.94 (define @t36 () (tptp.multiply @t8 @t6)) % 38.75/38.94 (define @t37 () (tptp.less_or_equal @t6 @t8)) % 38.75/38.94 (define @t38 () (tptp.less_or_equal @t8 @t6)) % 38.75/38.94 (define @t39 () (not @t38)) % 38.75/38.94 (define @t40 () (forall (@list @t3 @t5 @t8 @t6 @t2) (or (tptp.less_or_equal @t3 @t5) @t39 (not (tptp.sum @t8 @t2 @t3)) @t7))) % 38.75/38.94 (define @t41 () (tptp.defined tptp.a)) % 38.75/38.94 (define @t42 () (tptp.defined tptp.b)) % 38.75/38.94 (define @t43 () (tptp.defined tptp.u)) % 38.75/38.94 (define @t44 () (tptp.defined tptp.v)) % 38.75/38.94 (define @t45 () (tptp.less_or_equal tptp.a tptp.b)) % 38.75/38.94 (define @t46 () (tptp.sum tptp.a tptp.a tptp.u)) % 38.75/38.94 (define @t47 () (tptp.sum tptp.b tptp.b tptp.v)) % 38.75/38.94 (define @t48 () (tptp.less_or_equal tptp.u tptp.v)) % 38.75/38.94 (define @t49 () (tptp.add tptp.b tptp.a)) % 38.75/38.94 (define @t50 () (not @t41)) % 38.75/38.94 (define @t51 () (not @t42)) % 38.75/38.94 (define @t52 () (tptp.sum tptp.b tptp.a @t49)) % 38.75/38.94 (define @t53 () (or @t52 @t51 @t50)) % 38.75/38.94 (define @t54 () (not @t52)) % 38.75/38.94 (define @t55 () (tptp.sum tptp.a tptp.b @t49)) % 38.75/38.94 (define @t56 () (or @t55 @t54)) % 38.75/38.94 (define @t57 () (@list false false)) % 38.75/38.94 (define @t58 () (not @t47)) % 38.75/38.94 (define @t59 () (not @t55)) % 38.75/38.94 (define @t60 () (not @t45)) % 38.75/38.94 (define @t61 () (tptp.less_or_equal @t49 tptp.v)) % 38.75/38.94 (define @t62 () (or @t61 @t60 @t59 @t58)) % 38.75/38.94 (define @t63 () (tptp.sum tptp.additive_identity tptp.b tptp.b)) % 38.75/38.94 (define @t64 () (or @t63 @t51)) % 38.75/38.94 (define @t65 () (tptp.sum tptp.b tptp.a tptp.v)) % 38.75/38.94 (define @t66 () (not @t65)) % 38.75/38.94 (define @t67 () (not @t46)) % 38.75/38.94 (define @t68 () (or @t48 @t60 @t67 @t66)) % 38.75/38.94 (define @t69 () (@list true false false false)) % 38.75/38.94 (define @t70 () (tptp.sum tptp.additive_identity @t49 tptp.v)) % 38.75/38.94 (define @t71 () (not @t70)) % 38.75/38.94 (define @t72 () (not @t63)) % 38.75/38.94 (define @t73 () (or @t65 @t72 @t54 @t71)) % 38.75/38.94 (define @t74 () (tptp.less_or_equal tptp.v @t49)) % 38.75/38.94 (define @t75 () (not @t74)) % 38.75/38.94 (define @t76 () (not @t61)) % 38.75/38.94 (define @t77 () (or @t70 @t76 @t75)) % 38.75/38.94 (define @t78 () (not @t44)) % 38.75/38.94 (define @t79 () (not @t43)) % 38.75/38.94 (define @t80 () (tptp.less_or_equal tptp.v tptp.u)) % 38.75/38.94 (define @t81 () (or @t48 @t80 @t79 @t78)) % 38.75/38.94 (define @t82 () (tptp.less_or_equal tptp.u @t49)) % 38.75/38.94 (define @t83 () (not @t82)) % 38.75/38.94 (define @t84 () (not @t80)) % 38.75/38.94 (define @t85 () (or @t74 @t84 @t83)) % 38.75/38.94 (define @t86 () (or @t82 @t60 @t67 @t54)) % 38.75/38.94 (define @t87 () (not @t86)) % 38.75/38.94 (assume @p1 (forall @t11 (or @t10 @t9 @t7 (not @t4)))) % 38.75/38.94 (assume @p2 (forall @t12 (or @t4 @t9 @t7 (not @t10)))) % 38.75/38.94 (assume @p3 (forall @t14 (or (tptp.sum tptp.additive_identity @t8 @t8) @t13))) % 38.75/38.94 (assume @p4 (forall @t14 (or (tptp.sum @t15 @t8 tptp.additive_identity) @t13))) % 38.75/38.94 (assume @p5 (forall @t16 (or (tptp.sum @t6 @t8 @t2) (not (tptp.sum @t8 @t6 @t2))))) % 38.75/38.94 (assume @p6 (forall @t11 (or @t20 @t19 @t18 (not @t17)))) % 38.75/38.94 (assume @p7 (forall @t12 (or @t17 @t19 @t18 (not @t20)))) % 38.75/38.94 (assume @p8 (forall @t14 (or (tptp.product tptp.multiplicative_identity @t8 @t8) @t13))) % 38.75/38.94 (assume @p9 (forall @t14 (or (tptp.product @t22 @t8 tptp.multiplicative_identity) @t21 @t13))) % 38.75/38.94 (assume @p10 (forall @t16 (or (tptp.product @t6 @t8 @t2) @t23))) % 38.75/38.94 (assume @p11 (forall (@list @t26 @t24 @t28 @t8 @t6 @t29 @t2) (or @t32 @t31 (not @t30) @t27 @t25))) % 38.75/38.94 (assume @p12 (forall (@list @t29 @t2 @t28 @t8 @t6 @t26 @t24) (or @t30 @t31 @t27 @t25 (not @t32)))) % 38.75/38.94 (assume @p13 (forall @t35 (or (tptp.defined @t34) @t13 @t33))) % 38.75/38.94 (assume @p14 (tptp.defined tptp.additive_identity)) % 38.75/38.94 (assume @p15 (forall @t14 (or (tptp.defined @t15) @t13))) % 38.75/38.94 (assume @p16 (forall @t35 (or (tptp.defined @t36) @t13 @t33))) % 38.75/38.94 (assume @p17 (tptp.defined tptp.multiplicative_identity)) % 38.75/38.94 (assume @p18 (forall @t14 (or (tptp.defined @t22) @t13 @t21))) % 38.75/38.94 (assume @p19 (forall @t35 (or (tptp.sum @t8 @t6 @t34) @t13 @t33))) % 38.75/38.94 (assume @p20 (forall @t35 (or (tptp.product @t8 @t6 @t36) @t13 @t33))) % 38.75/38.94 (assume @p21 (forall @t35 (or (tptp.sum tptp.additive_identity @t8 @t6) @t39 (not @t37)))) % 38.75/38.94 (assume @p22 (forall (@list @t8 @t2 @t6) (or (tptp.less_or_equal @t8 @t2) @t39 (not (tptp.less_or_equal @t6 @t2))))) % 38.75/38.94 (assume @p23 (forall @t35 (or @t38 @t37 @t13 @t33))) % 38.75/38.94 (assume @p24 @t40) % 38.75/38.94 (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))) % 38.75/38.94 (assume @p26 (not (tptp.sum tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity))) % 38.75/38.94 (assume @p27 @t41) % 38.75/38.94 (assume @p28 @t42) % 38.75/38.94 (assume @p29 @t43) % 38.75/38.94 (assume @p30 @t44) % 38.75/38.94 (assume @p31 @t45) % 38.75/38.94 (assume @p32 @t46) % 38.75/38.94 (assume @p33 @t47) % 38.75/38.94 (assume @p34 (not @t48)) % 38.75/38.94 (step @p35 :rule instantiate :premises (@p22) :args ((@list tptp.v @t49 tptp.u))) % 38.75/38.94 (step @p36 :rule instantiate :premises (@p21) :args ((@list @t49 tptp.v))) % 38.75/38.94 (step @p37 :rule instantiate :premises (@p24) :args ((@list @t49 tptp.v tptp.a tptp.b tptp.b))) % 38.75/38.94 (step @p38 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.b @t49))) % 38.75/38.94 (step @p39 :rule instantiate :premises (@p19) :args ((@list tptp.b tptp.a))) % 38.75/38.94 (step @p40 :rule cnf_or_pos :args (@t53)) % 38.75/38.94 (step @p41 :rule reordering :premises (@p40) :args ((or @t50 @t51 @t52 (not @t53)))) % 38.75/38.94 (step @p42 :rule chain_m_resolution :premises (@p41 @p27 @p28 @p39) :args (@t52 (@list false false false) (@list @t41 @t42 @t53))) % 38.75/38.94 (step @p43 :rule cnf_or_pos :args (@t56)) % 38.75/38.94 (step @p44 :rule reordering :premises (@p43) :args ((or @t54 @t55 (not @t56)))) % 38.75/38.94 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p38) :args (@t55 @t57 (@list @t52 @t56))) % 38.75/38.94 (step @p46 :rule cnf_or_pos :args (@t62)) % 38.75/38.94 (step @p47 :rule reordering :premises (@p46) :args ((or @t60 @t58 @t59 @t61 (not @t62)))) % 38.75/38.94 (step @p48 :rule chain_m_resolution :premises (@p47 @p31 @p33 @p45 @p37) :args (@t61 (@list false false false false) (@list @t45 @t47 @t55 @t62))) % 38.75/38.94 (step @p49 :rule instantiate :premises (@p2) :args ((@list tptp.b tptp.a tptp.v tptp.additive_identity tptp.b @t49))) % 38.75/38.94 (step @p50 :rule instantiate :premises (@p3) :args ((@list tptp.b))) % 38.75/38.94 (step @p51 :rule cnf_or_pos :args (@t64)) % 38.75/38.94 (step @p52 :rule reordering :premises (@p51) :args ((or @t51 @t63 (not @t64)))) % 38.75/38.94 (step @p53 :rule chain_m_resolution :premises (@p52 @p28 @p50) :args (@t63 @t57 (@list @t42 @t64))) % 38.75/38.94 (step @p54 :rule instantiate :premises (@p24) :args ((@list tptp.u tptp.v tptp.a tptp.b tptp.a))) % 38.75/38.94 (step @p55 :rule cnf_or_pos :args (@t68)) % 38.75/38.94 (step @p56 :rule reordering :premises (@p55) :args ((or @t48 @t60 @t67 @t66 (not @t68)))) % 38.75/38.94 (step @p57 :rule chain_m_resolution :premises (@p56 @p34 @p31 @p32 @p54) :args (@t66 @t69 (@list @t48 @t45 @t46 @t68))) % 38.75/38.94 (step @p58 :rule cnf_or_pos :args (@t73)) % 38.75/38.94 (step @p59 :rule reordering :premises (@p58) :args ((or @t65 @t72 @t54 @t71 (not @t73)))) % 38.75/38.94 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p53 @p42 @p49) :args (@t71 @t69 (@list @t65 @t63 @t52 @t73))) % 38.75/38.94 (step @p61 :rule cnf_or_pos :args (@t77)) % 38.75/38.94 (step @p62 :rule reordering :premises (@p61) :args ((or @t70 @t76 @t75 (not @t77)))) % 38.75/38.94 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p48 @p36) :args (@t75 (@list true false false) (@list @t70 @t61 @t77))) % 38.75/38.94 (step @p64 :rule instantiate :premises (@p23) :args ((@list tptp.u tptp.v))) % 38.75/38.94 (step @p65 :rule cnf_or_pos :args (@t81)) % 38.75/38.94 (step @p66 :rule reordering :premises (@p65) :args ((or @t48 @t79 @t78 @t80 (not @t81)))) % 38.75/38.94 (step @p67 :rule chain_m_resolution :premises (@p66 @p34 @p29 @p30 @p64) :args (@t80 @t69 (@list @t48 @t43 @t44 @t81))) % 38.75/38.94 (step @p68 :rule cnf_or_pos :args (@t85)) % 38.75/38.94 (step @p69 :rule reordering :premises (@p68) :args ((or @t84 @t74 @t83 (not @t85)))) % 38.75/38.94 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p63 @p35) :args (@t83 (@list false true false) (@list @t80 @t74 @t85))) % 38.75/38.94 (step @p71 :rule cnf_or_pos :args (@t86)) % 38.75/38.94 (step @p72 :rule reordering :premises (@p71) :args ((or @t60 @t67 @t54 @t82 @t87))) % 38.75/38.94 (step @p73 :rule chain_m_resolution :premises (@p72 @p31 @p32 @p42 @p70) :args (@t87 (@list false false false true) (@list @t45 @t46 @t52 @t82))) % 38.75/38.94 (assume-push @p80 @t40) % 38.75/38.94 (step @p75 :rule instantiate :premises (@p24) :args ((@list tptp.u @t49 tptp.a tptp.b tptp.a))) % 38.75/38.94 (step-pop @p81 :rule scope :premises (@p75)) % 38.75/38.94 (step @p76 :rule process_scope :premises (@p81) :args (@t86)) % 38.75/38.94 (step @p78 :rule implies_elim :premises (@p76)) % 38.75/38.94 (step @p79 false :rule chain_m_resolution :premises (@p78 @p73 @p24) :args (false (@list true false) (@list @t86 @t40))) % 38.75/38.94 ) % 38.75/38.94 % SZS output end Proof % 38.75/38.94 % cvc5 exiting %------------------------------------------------------------------------------