%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : FLD004-1 : 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 : n017.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 78.99s 79.45s % Output : Proof 78.99s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : FLD004-1 : 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 % 0.18/0.35 % Computer : n017.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 22:32:31 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.41/15.65 --- Run --no-e-matching --full-saturate-quant at 6... % 21.41/21.68 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.53/27.71 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.53/33.77 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.84/64.09 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.94/79.17 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 78.99/79.45 % SZS status Unsatisfiable % 78.99/79.45 % SZS output start Proof % 78.99/79.46 ( % 78.99/79.46 (declare-sort $$unsorted 0) % 78.99/79.46 (declare-const tptp.multiplicative_inverse (-> $$unsorted $$unsorted)) % 78.99/79.46 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 78.99/79.46 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 78.99/79.46 (declare-const tptp.a $$unsorted) % 78.99/79.46 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 78.99/79.46 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 78.99/79.46 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 78.99/79.46 (declare-const tptp.b $$unsorted) % 78.99/79.46 (declare-const tptp.multiplicative_identity $$unsorted) % 78.99/79.46 (declare-const tptp.additive_identity $$unsorted) % 78.99/79.46 (declare-const tptp.defined (-> $$unsorted Bool)) % 78.99/79.46 (define @t1 () (@var "Z" $$unsorted)) % 78.99/79.46 (define @t2 () (not (tptp.defined @t1))) % 78.99/79.46 (define @t3 () (@var "Y" $$unsorted)) % 78.99/79.46 (define @t4 () (not (tptp.defined @t3))) % 78.99/79.46 (define @t5 () (@var "X" $$unsorted)) % 78.99/79.46 (define @t6 () (not (tptp.defined @t5))) % 78.99/79.46 (define @t7 () (tptp.add @t5 @t3)) % 78.99/79.46 (define @t8 () (tptp.add @t3 @t1)) % 78.99/79.46 (define @t9 () (@list @t5 @t3 @t1)) % 78.99/79.46 (define @t10 () (@list @t5)) % 78.99/79.46 (define @t11 () (tptp.additive_inverse @t5)) % 78.99/79.46 (define @t12 () (@list @t5 @t3)) % 78.99/79.46 (define @t13 () (tptp.multiply @t5 @t3)) % 78.99/79.46 (define @t14 () (tptp.multiply @t3 @t1)) % 78.99/79.46 (define @t15 () (tptp.equalish @t5 tptp.additive_identity)) % 78.99/79.46 (define @t16 () (tptp.multiplicative_inverse @t5)) % 78.99/79.46 (define @t17 () (tptp.multiply @t5 @t1)) % 78.99/79.46 (define @t18 () (@list @t5 @t1 @t3)) % 78.99/79.46 (define @t19 () (tptp.less_or_equal @t3 @t5)) % 78.99/79.46 (define @t20 () (tptp.less_or_equal @t5 @t3)) % 78.99/79.46 (define @t21 () (not @t20)) % 78.99/79.46 (define @t22 () (tptp.equalish @t5 @t3)) % 78.99/79.46 (define @t23 () (tptp.less_or_equal @t3 @t1)) % 78.99/79.46 (define @t24 () (tptp.less_or_equal @t5 @t1)) % 78.99/79.46 (define @t25 () (tptp.add @t5 @t1)) % 78.99/79.46 (define @t26 () (not @t22)) % 78.99/79.46 (define @t27 () (forall @t18 (or (tptp.equalish @t5 @t1) @t26 (not (tptp.equalish @t3 @t1))))) % 78.99/79.46 (define @t28 () (tptp.defined tptp.a)) % 78.99/79.46 (define @t29 () (tptp.defined tptp.b)) % 78.99/79.46 (define @t30 () (tptp.equalish tptp.b tptp.additive_identity)) % 78.99/79.46 (define @t31 () (tptp.multiplicative_inverse tptp.b)) % 78.99/79.46 (define @t32 () (tptp.multiply tptp.b @t31)) % 78.99/79.46 (define @t33 () (tptp.multiply tptp.a @t32)) % 78.99/79.46 (define @t34 () (tptp.equalish @t33 tptp.a)) % 78.99/79.46 (define @t35 () (@list tptp.b)) % 78.99/79.46 (define @t36 () (not @t29)) % 78.99/79.46 (define @t37 () (tptp.equalish @t32 tptp.multiplicative_identity)) % 78.99/79.46 (define @t38 () (or @t37 @t36 @t30)) % 78.99/79.46 (define @t39 () (@list true false false)) % 78.99/79.46 (define @t40 () (not @t37)) % 78.99/79.46 (define @t41 () (tptp.equalish tptp.multiplicative_identity @t32)) % 78.99/79.46 (define @t42 () (or @t41 @t40)) % 78.99/79.46 (define @t43 () (@list false false)) % 78.99/79.46 (define @t44 () (not @t41)) % 78.99/79.46 (define @t45 () (not @t28)) % 78.99/79.46 (define @t46 () (tptp.multiply @t32 tptp.a)) % 78.99/79.46 (define @t47 () (tptp.multiply tptp.multiplicative_identity tptp.a)) % 78.99/79.46 (define @t48 () (tptp.equalish @t47 @t46)) % 78.99/79.46 (define @t49 () (or @t48 @t45 @t44)) % 78.99/79.46 (define @t50 () (@list false false false)) % 78.99/79.46 (define @t51 () (tptp.equalish @t47 tptp.a)) % 78.99/79.46 (define @t52 () (or @t51 @t45)) % 78.99/79.46 (define @t53 () (not @t51)) % 78.99/79.46 (define @t54 () (tptp.equalish tptp.a @t47)) % 78.99/79.46 (define @t55 () (or @t54 @t53)) % 78.99/79.46 (define @t56 () (tptp.equalish tptp.a @t33)) % 78.99/79.46 (define @t57 () (not @t56)) % 78.99/79.46 (define @t58 () (or @t34 @t57)) % 78.99/79.46 (define @t59 () (@list true false)) % 78.99/79.46 (define @t60 () (tptp.equalish @t47 @t33)) % 78.99/79.46 (define @t61 () (not @t60)) % 78.99/79.46 (define @t62 () (not @t54)) % 78.99/79.46 (define @t63 () (or @t56 @t62 @t61)) % 78.99/79.46 (define @t64 () (tptp.defined @t31)) % 78.99/79.46 (define @t65 () (or @t64 @t36 @t30)) % 78.99/79.46 (define @t66 () (not @t64)) % 78.99/79.46 (define @t67 () (tptp.defined @t32)) % 78.99/79.46 (define @t68 () (or @t67 @t36 @t66)) % 78.99/79.46 (define @t69 () (not @t67)) % 78.99/79.46 (define @t70 () (tptp.equalish @t46 @t33)) % 78.99/79.46 (define @t71 () (or @t70 @t69 @t45)) % 78.99/79.46 (define @t72 () (not @t70)) % 78.99/79.46 (define @t73 () (not @t48)) % 78.99/79.46 (define @t74 () (or @t60 @t73 @t72)) % 78.99/79.46 (define @t75 () (not @t74)) % 78.99/79.46 (assume @p1 (forall @t9 (or (tptp.equalish (tptp.add @t5 @t8) (tptp.add @t7 @t1)) @t6 @t4 @t2))) % 78.99/79.46 (assume @p2 (forall @t10 (or (tptp.equalish (tptp.add tptp.additive_identity @t5) @t5) @t6))) % 78.99/79.46 (assume @p3 (forall @t10 (or (tptp.equalish (tptp.add @t5 @t11) tptp.additive_identity) @t6))) % 78.99/79.46 (assume @p4 (forall @t12 (or (tptp.equalish @t7 (tptp.add @t3 @t5)) @t6 @t4))) % 78.99/79.46 (assume @p5 (forall @t9 (or (tptp.equalish (tptp.multiply @t5 @t14) (tptp.multiply @t13 @t1)) @t6 @t4 @t2))) % 78.99/79.46 (assume @p6 (forall @t10 (or (tptp.equalish (tptp.multiply tptp.multiplicative_identity @t5) @t5) @t6))) % 78.99/79.46 (assume @p7 (forall @t10 (or (tptp.equalish (tptp.multiply @t5 @t16) tptp.multiplicative_identity) @t6 @t15))) % 78.99/79.46 (assume @p8 (forall @t12 (or (tptp.equalish @t13 (tptp.multiply @t3 @t5)) @t6 @t4))) % 78.99/79.46 (assume @p9 (forall @t18 (or (tptp.equalish (tptp.add @t17 @t14) (tptp.multiply @t7 @t1)) @t6 @t4 @t2))) % 78.99/79.46 (assume @p10 (forall @t12 (or (tptp.defined @t7) @t6 @t4))) % 78.99/79.46 (assume @p11 (tptp.defined tptp.additive_identity)) % 78.99/79.46 (assume @p12 (forall @t10 (or (tptp.defined @t11) @t6))) % 78.99/79.46 (assume @p13 (forall @t12 (or (tptp.defined @t13) @t6 @t4))) % 78.99/79.46 (assume @p14 (tptp.defined tptp.multiplicative_identity)) % 78.99/79.46 (assume @p15 (forall @t10 (or (tptp.defined @t16) @t6 @t15))) % 78.99/79.46 (assume @p16 (forall @t12 (or @t22 @t21 (not @t19)))) % 78.99/79.46 (assume @p17 (forall @t18 (or @t24 @t21 (not @t23)))) % 78.99/79.46 (assume @p18 (forall @t12 (or @t20 @t19 @t6 @t4))) % 78.99/79.46 (assume @p19 (forall @t18 (or (tptp.less_or_equal @t25 @t8) @t2 @t21))) % 78.99/79.46 (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))))) % 78.99/79.46 (assume @p21 (forall @t10 (or (tptp.equalish @t5 @t5) @t6))) % 78.99/79.46 (assume @p22 (forall @t12 (or @t22 (not (tptp.equalish @t3 @t5))))) % 78.99/79.46 (assume @p23 @t27) % 78.99/79.46 (assume @p24 (forall @t18 (or (tptp.equalish @t25 @t8) @t2 @t26))) % 78.99/79.46 (assume @p25 (forall @t18 (or (tptp.equalish @t17 @t14) @t2 @t26))) % 78.99/79.46 (assume @p26 (forall (@list @t3 @t1 @t5) (or @t23 (not @t24) @t26))) % 78.99/79.46 (assume @p27 (not (tptp.equalish tptp.additive_identity tptp.multiplicative_identity))) % 78.99/79.46 (assume @p28 @t28) % 78.99/79.46 (assume @p29 @t29) % 78.99/79.46 (assume @p30 (not @t30)) % 78.99/79.46 (assume @p31 (not @t34)) % 78.99/79.46 (step @p32 :rule instantiate :premises (@p25) :args ((@list tptp.multiplicative_identity tptp.a @t32))) % 78.99/79.46 (step @p33 :rule instantiate :premises (@p22) :args ((@list tptp.multiplicative_identity @t32))) % 78.99/79.46 (step @p34 :rule instantiate :premises (@p7) :args (@t35)) % 78.99/79.46 (step @p35 :rule cnf_or_pos :args (@t38)) % 78.99/79.46 (step @p36 :rule reordering :premises (@p35) :args ((or @t30 @t36 @t37 (not @t38)))) % 78.99/79.46 (step @p37 :rule chain_m_resolution :premises (@p36 @p30 @p29 @p34) :args (@t37 @t39 (@list @t30 @t29 @t38))) % 78.99/79.46 (step @p38 :rule cnf_or_pos :args (@t42)) % 78.99/79.46 (step @p39 :rule reordering :premises (@p38) :args ((or @t40 @t41 (not @t42)))) % 78.99/79.46 (step @p40 :rule chain_m_resolution :premises (@p39 @p37 @p33) :args (@t41 @t43 (@list @t37 @t42))) % 78.99/79.46 (step @p41 :rule cnf_or_pos :args (@t49)) % 78.99/79.46 (step @p42 :rule reordering :premises (@p41) :args ((or @t45 @t44 @t48 (not @t49)))) % 78.99/79.46 (step @p43 :rule chain_m_resolution :premises (@p42 @p28 @p40 @p32) :args (@t48 @t50 (@list @t28 @t41 @t49))) % 78.99/79.46 (step @p44 :rule instantiate :premises (@p23) :args ((@list tptp.a @t33 @t47))) % 78.99/79.46 (step @p45 :rule instantiate :premises (@p22) :args ((@list tptp.a @t47))) % 78.99/79.46 (step @p46 :rule instantiate :premises (@p6) :args ((@list tptp.a))) % 78.99/79.46 (step @p47 :rule cnf_or_pos :args (@t52)) % 78.99/79.46 (step @p48 :rule reordering :premises (@p47) :args ((or @t45 @t51 (not @t52)))) % 78.99/79.46 (step @p49 :rule chain_m_resolution :premises (@p48 @p28 @p46) :args (@t51 @t43 (@list @t28 @t52))) % 78.99/79.46 (step @p50 :rule cnf_or_pos :args (@t55)) % 78.99/79.46 (step @p51 :rule reordering :premises (@p50) :args ((or @t53 @t54 (not @t55)))) % 78.99/79.46 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p45) :args (@t54 @t43 (@list @t51 @t55))) % 78.99/79.46 (step @p53 :rule instantiate :premises (@p22) :args ((@list @t33 tptp.a))) % 78.99/79.46 (step @p54 :rule cnf_or_pos :args (@t58)) % 78.99/79.46 (step @p55 :rule reordering :premises (@p54) :args ((or @t34 @t57 (not @t58)))) % 78.99/79.46 (step @p56 :rule chain_m_resolution :premises (@p55 @p31 @p53) :args (@t57 @t59 (@list @t34 @t58))) % 78.99/79.46 (step @p57 :rule cnf_or_pos :args (@t63)) % 78.99/79.46 (step @p58 :rule reordering :premises (@p57) :args ((or @t56 @t62 @t61 (not @t63)))) % 78.99/79.46 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p52 @p44) :args (@t61 @t39 (@list @t56 @t54 @t63))) % 78.99/79.46 (step @p60 :rule instantiate :premises (@p8) :args ((@list @t32 tptp.a))) % 78.99/79.46 (step @p61 :rule instantiate :premises (@p13) :args ((@list tptp.b @t31))) % 78.99/79.46 (step @p62 :rule instantiate :premises (@p15) :args (@t35)) % 78.99/79.46 (step @p63 :rule cnf_or_pos :args (@t65)) % 78.99/79.46 (step @p64 :rule reordering :premises (@p63) :args ((or @t30 @t36 @t64 (not @t65)))) % 78.99/79.46 (step @p65 :rule chain_m_resolution :premises (@p64 @p30 @p29 @p62) :args (@t64 @t39 (@list @t30 @t29 @t65))) % 78.99/79.46 (step @p66 :rule cnf_or_pos :args (@t68)) % 78.99/79.46 (step @p67 :rule reordering :premises (@p66) :args ((or @t36 @t66 @t67 (not @t68)))) % 78.99/79.46 (step @p68 :rule chain_m_resolution :premises (@p67 @p29 @p65 @p61) :args (@t67 @t50 (@list @t29 @t64 @t68))) % 78.99/79.46 (step @p69 :rule cnf_or_pos :args (@t71)) % 78.99/79.46 (step @p70 :rule reordering :premises (@p69) :args ((or @t45 @t69 @t70 (not @t71)))) % 78.99/79.46 (step @p71 :rule chain_m_resolution :premises (@p70 @p28 @p68 @p60) :args (@t70 @t50 (@list @t28 @t67 @t71))) % 78.99/79.46 (step @p72 :rule cnf_or_pos :args (@t74)) % 78.99/79.46 (step @p73 :rule reordering :premises (@p72) :args ((or @t72 @t60 @t73 @t75))) % 78.99/79.46 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p59 @p43) :args (@t75 (@list false true false) (@list @t70 @t60 @t48))) % 78.99/79.46 (assume-push @p81 @t27) % 78.99/79.46 (step @p76 :rule instantiate :premises (@p23) :args ((@list @t47 @t33 @t46))) % 78.99/79.46 (step-pop @p82 :rule scope :premises (@p76)) % 78.99/79.46 (step @p77 :rule process_scope :premises (@p82) :args (@t74)) % 78.99/79.46 (step @p79 :rule implies_elim :premises (@p77)) % 78.99/79.46 (step @p80 false :rule chain_m_resolution :premises (@p79 @p74 @p23) :args (false @t59 (@list @t74 @t27))) % 78.99/79.46 ) % 78.99/79.46 % SZS output end Proof % 78.99/79.46 % cvc5 exiting %------------------------------------------------------------------------------