%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : FLD059-2 : 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 : 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 08:15:33 AM UTC 2026 % Result : Unsatisfiable 15.45s 16.02s % Output : Proof 15.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : FLD059-2 : 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 % 0.17/0.34 % 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 22:44:26 EDT 2026 % 0.17/0.34 % 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... % 0.34/15.61 --- Run --no-e-matching --full-saturate-quant at 6... % 15.45/16.02 % SZS status Unsatisfiable % 15.45/16.02 % SZS output start Proof % 15.45/16.02 ( % 15.45/16.02 (declare-sort $$unsorted 0) % 15.45/16.02 (declare-const tptp.multiplicative_inverse (-> $$unsorted $$unsorted)) % 15.45/16.02 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 15.45/16.02 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 15.45/16.02 (declare-const tptp.a $$unsorted) % 15.45/16.02 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 15.45/16.02 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 15.45/16.02 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 15.45/16.02 (declare-const tptp.u $$unsorted) % 15.45/16.02 (declare-const tptp.multiplicative_identity $$unsorted) % 15.45/16.02 (declare-const tptp.additive_identity $$unsorted) % 15.45/16.02 (declare-const tptp.defined (-> $$unsorted Bool)) % 15.45/16.02 (define @t1 () (@var "Z" $$unsorted)) % 15.45/16.02 (define @t2 () (not (tptp.defined @t1))) % 15.45/16.02 (define @t3 () (@var "Y" $$unsorted)) % 15.45/16.02 (define @t4 () (not (tptp.defined @t3))) % 15.45/16.02 (define @t5 () (@var "X" $$unsorted)) % 15.45/16.02 (define @t6 () (not (tptp.defined @t5))) % 15.45/16.02 (define @t7 () (tptp.add @t5 @t3)) % 15.45/16.02 (define @t8 () (tptp.add @t3 @t1)) % 15.45/16.02 (define @t9 () (@list @t5 @t3 @t1)) % 15.45/16.02 (define @t10 () (@list @t5)) % 15.45/16.02 (define @t11 () (tptp.additive_inverse @t5)) % 15.45/16.02 (define @t12 () (@list @t5 @t3)) % 15.45/16.02 (define @t13 () (tptp.multiply @t5 @t3)) % 15.45/16.02 (define @t14 () (tptp.multiply @t3 @t1)) % 15.45/16.02 (define @t15 () (tptp.equalish @t5 tptp.additive_identity)) % 15.45/16.02 (define @t16 () (tptp.multiplicative_inverse @t5)) % 15.45/16.02 (define @t17 () (tptp.multiply @t5 @t1)) % 15.45/16.02 (define @t18 () (@list @t5 @t1 @t3)) % 15.45/16.02 (define @t19 () (tptp.defined tptp.additive_identity)) % 15.45/16.02 (define @t20 () (tptp.less_or_equal @t3 @t5)) % 15.45/16.02 (define @t21 () (tptp.less_or_equal @t5 @t3)) % 15.45/16.02 (define @t22 () (not @t21)) % 15.45/16.02 (define @t23 () (tptp.equalish @t5 @t3)) % 15.45/16.02 (define @t24 () (tptp.less_or_equal @t3 @t1)) % 15.45/16.02 (define @t25 () (tptp.less_or_equal @t5 @t1)) % 15.45/16.02 (define @t26 () (forall @t18 (or @t25 @t22 (not @t24)))) % 15.45/16.02 (define @t27 () (tptp.add @t5 @t1)) % 15.45/16.02 (define @t28 () (not @t23)) % 15.45/16.02 (define @t29 () (tptp.defined tptp.a)) % 15.45/16.02 (define @t30 () (tptp.defined tptp.u)) % 15.45/16.02 (define @t31 () (tptp.less_or_equal tptp.additive_identity tptp.a)) % 15.45/16.02 (define @t32 () (tptp.add tptp.a tptp.a)) % 15.45/16.02 (define @t33 () (tptp.equalish @t32 tptp.u)) % 15.45/16.02 (define @t34 () (tptp.less_or_equal tptp.additive_identity tptp.u)) % 15.45/16.02 (define @t35 () (tptp.add tptp.additive_identity tptp.a)) % 15.45/16.02 (define @t36 () (not @t31)) % 15.45/16.02 (define @t37 () (not @t29)) % 15.45/16.02 (define @t38 () (tptp.less_or_equal @t35 @t32)) % 15.45/16.02 (define @t39 () (or @t38 @t37 @t36)) % 15.45/16.02 (define @t40 () (@list false false false)) % 15.45/16.02 (define @t41 () (tptp.equalish @t35 tptp.a)) % 15.45/16.02 (define @t42 () (or @t41 @t37)) % 15.45/16.02 (define @t43 () (@list false false)) % 15.45/16.02 (define @t44 () (not @t41)) % 15.45/16.02 (define @t45 () (not @t38)) % 15.45/16.02 (define @t46 () (tptp.less_or_equal tptp.a @t32)) % 15.45/16.02 (define @t47 () (or @t46 @t45 @t44)) % 15.45/16.02 (define @t48 () (not @t33)) % 15.45/16.02 (define @t49 () (tptp.equalish tptp.u @t32)) % 15.45/16.02 (define @t50 () (or @t49 @t48)) % 15.45/16.02 (define @t51 () (not @t30)) % 15.45/16.02 (define @t52 () (not @t19)) % 15.45/16.02 (define @t53 () (tptp.less_or_equal tptp.u tptp.additive_identity)) % 15.45/16.02 (define @t54 () (or @t34 @t53 @t52 @t51)) % 15.45/16.02 (define @t55 () (not @t49)) % 15.45/16.02 (define @t56 () (not @t53)) % 15.45/16.02 (define @t57 () (tptp.less_or_equal @t32 tptp.additive_identity)) % 15.45/16.02 (define @t58 () (or @t57 @t56 @t55)) % 15.45/16.02 (define @t59 () (tptp.less_or_equal tptp.u tptp.u)) % 15.45/16.02 (define @t60 () (or @t59 @t59 @t51 @t51)) % 15.45/16.02 (define @t61 () (tptp.equalish tptp.u tptp.additive_identity)) % 15.45/16.02 (define @t62 () (not @t61)) % 15.45/16.02 (define @t63 () (not @t59)) % 15.45/16.02 (define @t64 () (or @t34 @t63 @t62)) % 15.45/16.02 (define @t65 () (@list true false false)) % 15.45/16.02 (define @t66 () (tptp.equalish tptp.additive_identity tptp.u)) % 15.45/16.02 (define @t67 () (not @t66)) % 15.45/16.02 (define @t68 () (or @t61 @t67)) % 15.45/16.02 (define @t69 () (@list true false)) % 15.45/16.02 (define @t70 () (tptp.equalish tptp.additive_identity @t32)) % 15.45/16.02 (define @t71 () (not @t70)) % 15.45/16.02 (define @t72 () (or @t66 @t71 @t48)) % 15.45/16.02 (define @t73 () (@list false true false)) % 15.45/16.02 (define @t74 () (not @t57)) % 15.45/16.02 (define @t75 () (tptp.less_or_equal tptp.additive_identity @t32)) % 15.45/16.02 (define @t76 () (not @t75)) % 15.45/16.02 (define @t77 () (or @t70 @t76 @t74)) % 15.45/16.02 (define @t78 () (not @t46)) % 15.45/16.02 (define @t79 () (or @t75 @t36 @t78)) % 15.45/16.02 (define @t80 () (not @t79)) % 15.45/16.02 (assume @p1 (forall @t9 (or (tptp.equalish (tptp.add @t5 @t8) (tptp.add @t7 @t1)) @t6 @t4 @t2))) % 15.45/16.02 (assume @p2 (forall @t10 (or (tptp.equalish (tptp.add tptp.additive_identity @t5) @t5) @t6))) % 15.45/16.02 (assume @p3 (forall @t10 (or (tptp.equalish (tptp.add @t5 @t11) tptp.additive_identity) @t6))) % 15.45/16.02 (assume @p4 (forall @t12 (or (tptp.equalish @t7 (tptp.add @t3 @t5)) @t6 @t4))) % 15.45/16.02 (assume @p5 (forall @t9 (or (tptp.equalish (tptp.multiply @t5 @t14) (tptp.multiply @t13 @t1)) @t6 @t4 @t2))) % 15.45/16.02 (assume @p6 (forall @t10 (or (tptp.equalish (tptp.multiply tptp.multiplicative_identity @t5) @t5) @t6))) % 15.45/16.02 (assume @p7 (forall @t10 (or (tptp.equalish (tptp.multiply @t5 @t16) tptp.multiplicative_identity) @t6 @t15))) % 15.45/16.02 (assume @p8 (forall @t12 (or (tptp.equalish @t13 (tptp.multiply @t3 @t5)) @t6 @t4))) % 15.45/16.02 (assume @p9 (forall @t18 (or (tptp.equalish (tptp.add @t17 @t14) (tptp.multiply @t7 @t1)) @t6 @t4 @t2))) % 15.45/16.02 (assume @p10 (forall @t12 (or (tptp.defined @t7) @t6 @t4))) % 15.45/16.02 (assume @p11 @t19) % 15.45/16.02 (assume @p12 (forall @t10 (or (tptp.defined @t11) @t6))) % 15.45/16.02 (assume @p13 (forall @t12 (or (tptp.defined @t13) @t6 @t4))) % 15.45/16.02 (assume @p14 (tptp.defined tptp.multiplicative_identity)) % 15.45/16.02 (assume @p15 (forall @t10 (or (tptp.defined @t16) @t6 @t15))) % 15.45/16.02 (assume @p16 (forall @t12 (or @t23 @t22 (not @t20)))) % 15.45/16.02 (assume @p17 @t26) % 15.45/16.02 (assume @p18 (forall @t12 (or @t21 @t20 @t6 @t4))) % 15.45/16.02 (assume @p19 (forall @t18 (or (tptp.less_or_equal @t27 @t8) @t2 @t22))) % 15.45/16.02 (assume @p20 (forall (@list @t3 @t1) (or (tptp.less_or_equal tptp.additive_identity @t14) (not (tptp.less_or_equal tptp.additive_identity @t3)) (not (tptp.less_or_equal tptp.additive_identity @t1))))) % 15.45/16.02 (assume @p21 (forall @t10 (or (tptp.equalish @t5 @t5) @t6))) % 15.45/16.02 (assume @p22 (forall @t12 (or @t23 (not (tptp.equalish @t3 @t5))))) % 15.45/16.02 (assume @p23 (forall @t18 (or (tptp.equalish @t5 @t1) @t28 (not (tptp.equalish @t3 @t1))))) % 15.45/16.02 (assume @p24 (forall @t18 (or (tptp.equalish @t27 @t8) @t2 @t28))) % 15.45/16.02 (assume @p25 (forall @t18 (or (tptp.equalish @t17 @t14) @t2 @t28))) % 15.45/16.02 (assume @p26 (forall (@list @t3 @t1 @t5) (or @t24 (not @t25) @t28))) % 15.45/16.02 (assume @p27 (not (tptp.equalish tptp.additive_identity tptp.multiplicative_identity))) % 15.45/16.02 (assume @p28 @t29) % 15.45/16.02 (assume @p29 @t30) % 15.45/16.02 (assume @p30 @t31) % 15.45/16.02 (assume @p31 @t33) % 15.45/16.02 (assume @p32 (not @t34)) % 15.45/16.02 (step @p33 :rule instantiate :premises (@p26) :args ((@list tptp.a @t32 @t35))) % 15.45/16.02 (step @p34 :rule instantiate :premises (@p19) :args ((@list tptp.additive_identity tptp.a tptp.a))) % 15.45/16.02 (step @p35 :rule cnf_or_pos :args (@t39)) % 15.45/16.02 (step @p36 :rule reordering :premises (@p35) :args ((or @t37 @t36 @t38 (not @t39)))) % 15.45/16.02 (step @p37 :rule chain_m_resolution :premises (@p36 @p28 @p30 @p34) :args (@t38 @t40 (@list @t29 @t31 @t39))) % 15.45/16.02 (step @p38 :rule instantiate :premises (@p2) :args ((@list tptp.a))) % 15.45/16.02 (step @p39 :rule cnf_or_pos :args (@t42)) % 15.45/16.02 (step @p40 :rule reordering :premises (@p39) :args ((or @t37 @t41 (not @t42)))) % 15.45/16.02 (step @p41 :rule chain_m_resolution :premises (@p40 @p28 @p38) :args (@t41 @t43 (@list @t29 @t42))) % 15.45/16.02 (step @p42 :rule cnf_or_pos :args (@t47)) % 15.45/16.02 (step @p43 :rule reordering :premises (@p42) :args ((or @t44 @t46 @t45 (not @t47)))) % 15.45/16.02 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p37 @p33) :args (@t46 @t40 (@list @t41 @t38 @t47))) % 15.45/16.02 (step @p45 :rule instantiate :premises (@p16) :args ((@list tptp.additive_identity @t32))) % 15.45/16.02 (step @p46 :rule instantiate :premises (@p26) :args ((@list @t32 tptp.additive_identity tptp.u))) % 15.45/16.02 (step @p47 :rule instantiate :premises (@p22) :args ((@list tptp.u @t32))) % 15.45/16.02 (step @p48 :rule cnf_or_pos :args (@t50)) % 15.45/16.02 (step @p49 :rule reordering :premises (@p48) :args ((or @t48 @t49 (not @t50)))) % 15.45/16.02 (step @p50 :rule chain_m_resolution :premises (@p49 @p31 @p47) :args (@t49 @t43 (@list @t33 @t50))) % 15.45/16.02 (step @p51 :rule instantiate :premises (@p18) :args ((@list tptp.additive_identity tptp.u))) % 15.45/16.02 (step @p52 :rule cnf_or_pos :args (@t54)) % 15.45/16.02 (step @p53 :rule reordering :premises (@p52) :args ((or @t34 @t52 @t51 @t53 (not @t54)))) % 15.45/16.02 (step @p54 :rule chain_m_resolution :premises (@p53 @p32 @p11 @p29 @p51) :args (@t53 (@list true false false false) (@list @t34 @t19 @t30 @t54))) % 15.45/16.02 (step @p55 :rule cnf_or_pos :args (@t58)) % 15.45/16.02 (step @p56 :rule reordering :premises (@p55) :args ((or @t56 @t57 @t55 (not @t58)))) % 15.45/16.02 (step @p57 :rule chain_m_resolution :premises (@p56 @p54 @p50 @p46) :args (@t57 @t40 (@list @t53 @t49 @t58))) % 15.45/16.02 (step @p58 :rule instantiate :premises (@p23) :args ((@list tptp.additive_identity tptp.u @t32))) % 15.45/16.02 (step @p59 :rule instantiate :premises (@p22) :args ((@list tptp.u tptp.additive_identity))) % 15.45/16.02 (step @p60 :rule instantiate :premises (@p26) :args ((@list tptp.additive_identity tptp.u tptp.u))) % 15.45/16.02 (step @p61 :rule instantiate :premises (@p18) :args ((@list tptp.u tptp.u))) % 15.45/16.02 (step @p62 :rule cnf_or_pos :args (@t60)) % 15.45/16.02 (step @p63 :rule factoring :premises (@p62)) % 15.45/16.02 (step @p64 :rule reordering :premises (@p63) :args ((or @t51 @t59 (not @t60)))) % 15.45/16.02 (step @p65 :rule chain_m_resolution :premises (@p64 @p29 @p61) :args (@t59 @t43 (@list @t30 @t60))) % 15.45/16.02 (step @p66 :rule cnf_or_pos :args (@t64)) % 15.45/16.02 (step @p67 :rule reordering :premises (@p66) :args ((or @t34 @t62 @t63 (not @t64)))) % 15.45/16.02 (step @p68 :rule chain_m_resolution :premises (@p67 @p32 @p65 @p60) :args (@t62 @t65 (@list @t34 @t59 @t64))) % 15.45/16.02 (step @p69 :rule cnf_or_pos :args (@t68)) % 15.45/16.02 (step @p70 :rule reordering :premises (@p69) :args ((or @t61 @t67 (not @t68)))) % 15.45/16.02 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p59) :args (@t67 @t69 (@list @t61 @t68))) % 15.45/16.02 (step @p72 :rule cnf_or_pos :args (@t72)) % 15.45/16.02 (step @p73 :rule reordering :premises (@p72) :args ((or @t48 @t66 @t71 (not @t72)))) % 15.45/16.02 (step @p74 :rule chain_m_resolution :premises (@p73 @p31 @p71 @p58) :args (@t71 @t73 (@list @t33 @t66 @t72))) % 15.45/16.02 (step @p75 :rule cnf_or_pos :args (@t77)) % 15.45/16.02 (step @p76 :rule reordering :premises (@p75) :args ((or @t76 @t70 @t74 (not @t77)))) % 15.45/16.02 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p57 @p45) :args (@t76 @t65 (@list @t70 @t57 @t77))) % 15.45/16.02 (step @p78 :rule cnf_or_pos :args (@t79)) % 15.45/16.02 (step @p79 :rule reordering :premises (@p78) :args ((or @t36 @t75 @t78 @t80))) % 15.45/16.02 (step @p80 :rule chain_m_resolution :premises (@p79 @p30 @p77 @p44) :args (@t80 @t73 (@list @t31 @t75 @t46))) % 15.45/16.02 (assume-push @p87 @t26) % 15.45/16.02 (step @p82 :rule instantiate :premises (@p17) :args ((@list tptp.additive_identity @t32 tptp.a))) % 15.45/16.02 (step-pop @p88 :rule scope :premises (@p82)) % 15.45/16.02 (step @p83 :rule process_scope :premises (@p88) :args (@t79)) % 15.45/16.02 (step @p85 :rule implies_elim :premises (@p83)) % 15.45/16.02 (step @p86 false :rule chain_m_resolution :premises (@p85 @p80 @p17) :args (false @t69 (@list @t79 @t26))) % 15.45/16.02 ) % 15.45/16.02 % SZS output end Proof % 15.45/16.02 % cvc5 exiting %------------------------------------------------------------------------------