%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : FLD003-1 : 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 : n018.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 2.32s 2.51s % Output : Proof 2.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : FLD003-1 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n018.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 22:34:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----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... % 2.32/2.51 % SZS status Unsatisfiable % 2.32/2.51 % SZS output start Proof % 2.32/2.51 ( % 2.32/2.51 (declare-sort $$unsorted 0) % 2.32/2.51 (declare-const tptp.multiplicative_inverse (-> $$unsorted $$unsorted)) % 2.32/2.51 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 2.32/2.51 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 2.32/2.51 (declare-const tptp.a $$unsorted) % 2.32/2.51 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 2.32/2.51 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 2.32/2.51 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 2.32/2.51 (declare-const tptp.b $$unsorted) % 2.32/2.51 (declare-const tptp.multiplicative_identity $$unsorted) % 2.32/2.51 (declare-const tptp.additive_identity $$unsorted) % 2.32/2.51 (declare-const tptp.defined (-> $$unsorted Bool)) % 2.32/2.51 (define @t1 () (@var "Z" $$unsorted)) % 2.32/2.51 (define @t2 () (not (tptp.defined @t1))) % 2.32/2.51 (define @t3 () (@var "Y" $$unsorted)) % 2.32/2.51 (define @t4 () (not (tptp.defined @t3))) % 2.32/2.51 (define @t5 () (@var "X" $$unsorted)) % 2.32/2.51 (define @t6 () (not (tptp.defined @t5))) % 2.32/2.51 (define @t7 () (tptp.add @t5 @t3)) % 2.32/2.51 (define @t8 () (tptp.add @t3 @t1)) % 2.32/2.51 (define @t9 () (@list @t5 @t3 @t1)) % 2.32/2.51 (define @t10 () (@list @t5)) % 2.32/2.51 (define @t11 () (tptp.additive_inverse @t5)) % 2.32/2.51 (define @t12 () (@list @t5 @t3)) % 2.32/2.51 (define @t13 () (tptp.multiply @t5 @t3)) % 2.32/2.51 (define @t14 () (tptp.multiply @t3 @t1)) % 2.32/2.51 (define @t15 () (tptp.equalish @t5 tptp.additive_identity)) % 2.32/2.51 (define @t16 () (tptp.multiplicative_inverse @t5)) % 2.32/2.51 (define @t17 () (tptp.multiply @t5 @t1)) % 2.32/2.51 (define @t18 () (@list @t5 @t1 @t3)) % 2.32/2.51 (define @t19 () (tptp.less_or_equal @t3 @t5)) % 2.32/2.51 (define @t20 () (tptp.less_or_equal @t5 @t3)) % 2.32/2.51 (define @t21 () (not @t20)) % 2.32/2.51 (define @t22 () (tptp.equalish @t5 @t3)) % 2.32/2.51 (define @t23 () (tptp.less_or_equal @t3 @t1)) % 2.32/2.51 (define @t24 () (tptp.less_or_equal @t5 @t1)) % 2.32/2.51 (define @t25 () (tptp.add @t5 @t1)) % 2.32/2.51 (define @t26 () (not @t22)) % 2.32/2.51 (define @t27 () (forall @t18 (or (tptp.equalish @t5 @t1) @t26 (not (tptp.equalish @t3 @t1))))) % 2.32/2.51 (define @t28 () (tptp.defined tptp.a)) % 2.32/2.51 (define @t29 () (tptp.defined tptp.b)) % 2.32/2.51 (define @t30 () (tptp.additive_inverse tptp.b)) % 2.32/2.51 (define @t31 () (tptp.add tptp.b @t30)) % 2.32/2.51 (define @t32 () (tptp.add tptp.a @t31)) % 2.32/2.51 (define @t33 () (tptp.equalish @t32 tptp.a)) % 2.32/2.51 (define @t34 () (@list tptp.b)) % 2.32/2.51 (define @t35 () (not @t29)) % 2.32/2.51 (define @t36 () (tptp.equalish @t31 tptp.additive_identity)) % 2.32/2.51 (define @t37 () (or @t36 @t35)) % 2.32/2.51 (define @t38 () (@list false false)) % 2.32/2.51 (define @t39 () (not @t36)) % 2.32/2.51 (define @t40 () (tptp.equalish tptp.additive_identity @t31)) % 2.32/2.51 (define @t41 () (or @t40 @t39)) % 2.32/2.51 (define @t42 () (not @t40)) % 2.32/2.51 (define @t43 () (not @t28)) % 2.32/2.51 (define @t44 () (tptp.add @t31 tptp.a)) % 2.32/2.51 (define @t45 () (tptp.add tptp.additive_identity tptp.a)) % 2.32/2.51 (define @t46 () (tptp.equalish @t45 @t44)) % 2.32/2.51 (define @t47 () (or @t46 @t43 @t42)) % 2.32/2.51 (define @t48 () (@list false false false)) % 2.32/2.51 (define @t49 () (tptp.equalish @t45 tptp.a)) % 2.32/2.51 (define @t50 () (or @t49 @t43)) % 2.32/2.51 (define @t51 () (not @t49)) % 2.32/2.51 (define @t52 () (tptp.equalish tptp.a @t45)) % 2.32/2.51 (define @t53 () (or @t52 @t51)) % 2.32/2.51 (define @t54 () (tptp.equalish tptp.a @t32)) % 2.32/2.51 (define @t55 () (not @t54)) % 2.32/2.51 (define @t56 () (or @t33 @t55)) % 2.32/2.51 (define @t57 () (@list true false)) % 2.32/2.51 (define @t58 () (tptp.equalish @t45 @t32)) % 2.32/2.51 (define @t59 () (not @t58)) % 2.32/2.51 (define @t60 () (not @t52)) % 2.32/2.51 (define @t61 () (or @t54 @t60 @t59)) % 2.32/2.51 (define @t62 () (tptp.defined @t30)) % 2.32/2.51 (define @t63 () (or @t62 @t35)) % 2.32/2.51 (define @t64 () (not @t62)) % 2.32/2.51 (define @t65 () (tptp.defined @t31)) % 2.32/2.51 (define @t66 () (or @t65 @t35 @t64)) % 2.32/2.51 (define @t67 () (not @t65)) % 2.32/2.51 (define @t68 () (tptp.equalish @t44 @t32)) % 2.32/2.51 (define @t69 () (or @t68 @t67 @t43)) % 2.32/2.51 (define @t70 () (not @t68)) % 2.32/2.51 (define @t71 () (not @t46)) % 2.32/2.51 (define @t72 () (or @t58 @t71 @t70)) % 2.32/2.51 (define @t73 () (not @t72)) % 2.32/2.51 (assume @p1 (forall @t9 (or (tptp.equalish (tptp.add @t5 @t8) (tptp.add @t7 @t1)) @t6 @t4 @t2))) % 2.32/2.51 (assume @p2 (forall @t10 (or (tptp.equalish (tptp.add tptp.additive_identity @t5) @t5) @t6))) % 2.32/2.51 (assume @p3 (forall @t10 (or (tptp.equalish (tptp.add @t5 @t11) tptp.additive_identity) @t6))) % 2.32/2.51 (assume @p4 (forall @t12 (or (tptp.equalish @t7 (tptp.add @t3 @t5)) @t6 @t4))) % 2.32/2.51 (assume @p5 (forall @t9 (or (tptp.equalish (tptp.multiply @t5 @t14) (tptp.multiply @t13 @t1)) @t6 @t4 @t2))) % 2.32/2.51 (assume @p6 (forall @t10 (or (tptp.equalish (tptp.multiply tptp.multiplicative_identity @t5) @t5) @t6))) % 2.32/2.51 (assume @p7 (forall @t10 (or (tptp.equalish (tptp.multiply @t5 @t16) tptp.multiplicative_identity) @t6 @t15))) % 2.32/2.51 (assume @p8 (forall @t12 (or (tptp.equalish @t13 (tptp.multiply @t3 @t5)) @t6 @t4))) % 2.32/2.51 (assume @p9 (forall @t18 (or (tptp.equalish (tptp.add @t17 @t14) (tptp.multiply @t7 @t1)) @t6 @t4 @t2))) % 2.32/2.51 (assume @p10 (forall @t12 (or (tptp.defined @t7) @t6 @t4))) % 2.32/2.51 (assume @p11 (tptp.defined tptp.additive_identity)) % 2.32/2.51 (assume @p12 (forall @t10 (or (tptp.defined @t11) @t6))) % 2.32/2.51 (assume @p13 (forall @t12 (or (tptp.defined @t13) @t6 @t4))) % 2.32/2.51 (assume @p14 (tptp.defined tptp.multiplicative_identity)) % 2.32/2.51 (assume @p15 (forall @t10 (or (tptp.defined @t16) @t6 @t15))) % 2.32/2.51 (assume @p16 (forall @t12 (or @t22 @t21 (not @t19)))) % 2.32/2.51 (assume @p17 (forall @t18 (or @t24 @t21 (not @t23)))) % 2.32/2.51 (assume @p18 (forall @t12 (or @t20 @t19 @t6 @t4))) % 2.32/2.51 (assume @p19 (forall @t18 (or (tptp.less_or_equal @t25 @t8) @t2 @t21))) % 2.32/2.51 (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))))) % 2.32/2.51 (assume @p21 (forall @t10 (or (tptp.equalish @t5 @t5) @t6))) % 2.32/2.51 (assume @p22 (forall @t12 (or @t22 (not (tptp.equalish @t3 @t5))))) % 2.32/2.51 (assume @p23 @t27) % 2.32/2.51 (assume @p24 (forall @t18 (or (tptp.equalish @t25 @t8) @t2 @t26))) % 2.32/2.51 (assume @p25 (forall @t18 (or (tptp.equalish @t17 @t14) @t2 @t26))) % 2.32/2.51 (assume @p26 (forall (@list @t3 @t1 @t5) (or @t23 (not @t24) @t26))) % 2.32/2.51 (assume @p27 (not (tptp.equalish tptp.additive_identity tptp.multiplicative_identity))) % 2.32/2.51 (assume @p28 @t28) % 2.32/2.51 (assume @p29 @t29) % 2.32/2.51 (assume @p30 (not @t33)) % 2.32/2.51 (step @p31 :rule instantiate :premises (@p24) :args ((@list tptp.additive_identity tptp.a @t31))) % 2.32/2.51 (step @p32 :rule instantiate :premises (@p22) :args ((@list tptp.additive_identity @t31))) % 2.32/2.51 (step @p33 :rule instantiate :premises (@p3) :args (@t34)) % 2.32/2.51 (step @p34 :rule cnf_or_pos :args (@t37)) % 2.32/2.51 (step @p35 :rule reordering :premises (@p34) :args ((or @t35 @t36 (not @t37)))) % 2.32/2.51 (step @p36 :rule chain_m_resolution :premises (@p35 @p29 @p33) :args (@t36 @t38 (@list @t29 @t37))) % 2.32/2.51 (step @p37 :rule cnf_or_pos :args (@t41)) % 2.32/2.51 (step @p38 :rule reordering :premises (@p37) :args ((or @t39 @t40 (not @t41)))) % 2.32/2.51 (step @p39 :rule chain_m_resolution :premises (@p38 @p36 @p32) :args (@t40 @t38 (@list @t36 @t41))) % 2.32/2.51 (step @p40 :rule cnf_or_pos :args (@t47)) % 2.32/2.51 (step @p41 :rule reordering :premises (@p40) :args ((or @t43 @t42 @t46 (not @t47)))) % 2.32/2.51 (step @p42 :rule chain_m_resolution :premises (@p41 @p28 @p39 @p31) :args (@t46 @t48 (@list @t28 @t40 @t47))) % 2.32/2.51 (step @p43 :rule instantiate :premises (@p23) :args ((@list tptp.a @t32 @t45))) % 2.32/2.51 (step @p44 :rule instantiate :premises (@p22) :args ((@list tptp.a @t45))) % 2.32/2.51 (step @p45 :rule instantiate :premises (@p2) :args ((@list tptp.a))) % 2.32/2.51 (step @p46 :rule cnf_or_pos :args (@t50)) % 2.32/2.51 (step @p47 :rule reordering :premises (@p46) :args ((or @t43 @t49 (not @t50)))) % 2.32/2.51 (step @p48 :rule chain_m_resolution :premises (@p47 @p28 @p45) :args (@t49 @t38 (@list @t28 @t50))) % 2.32/2.51 (step @p49 :rule cnf_or_pos :args (@t53)) % 2.32/2.51 (step @p50 :rule reordering :premises (@p49) :args ((or @t51 @t52 (not @t53)))) % 2.32/2.51 (step @p51 :rule chain_m_resolution :premises (@p50 @p48 @p44) :args (@t52 @t38 (@list @t49 @t53))) % 2.32/2.51 (step @p52 :rule instantiate :premises (@p22) :args ((@list @t32 tptp.a))) % 2.32/2.51 (step @p53 :rule cnf_or_pos :args (@t56)) % 2.32/2.51 (step @p54 :rule reordering :premises (@p53) :args ((or @t33 @t55 (not @t56)))) % 2.32/2.51 (step @p55 :rule chain_m_resolution :premises (@p54 @p30 @p52) :args (@t55 @t57 (@list @t33 @t56))) % 2.32/2.51 (step @p56 :rule cnf_or_pos :args (@t61)) % 2.32/2.51 (step @p57 :rule reordering :premises (@p56) :args ((or @t54 @t60 @t59 (not @t61)))) % 2.32/2.51 (step @p58 :rule chain_m_resolution :premises (@p57 @p55 @p51 @p43) :args (@t59 (@list true false false) (@list @t54 @t52 @t61))) % 2.32/2.51 (step @p59 :rule instantiate :premises (@p4) :args ((@list @t31 tptp.a))) % 2.32/2.51 (step @p60 :rule instantiate :premises (@p10) :args ((@list tptp.b @t30))) % 2.32/2.51 (step @p61 :rule instantiate :premises (@p12) :args (@t34)) % 2.32/2.51 (step @p62 :rule cnf_or_pos :args (@t63)) % 2.32/2.51 (step @p63 :rule reordering :premises (@p62) :args ((or @t35 @t62 (not @t63)))) % 2.32/2.51 (step @p64 :rule chain_m_resolution :premises (@p63 @p29 @p61) :args (@t62 @t38 (@list @t29 @t63))) % 2.32/2.51 (step @p65 :rule cnf_or_pos :args (@t66)) % 2.32/2.51 (step @p66 :rule reordering :premises (@p65) :args ((or @t35 @t64 @t65 (not @t66)))) % 2.32/2.51 (step @p67 :rule chain_m_resolution :premises (@p66 @p29 @p64 @p60) :args (@t65 @t48 (@list @t29 @t62 @t66))) % 2.32/2.51 (step @p68 :rule cnf_or_pos :args (@t69)) % 2.32/2.51 (step @p69 :rule reordering :premises (@p68) :args ((or @t43 @t67 @t68 (not @t69)))) % 2.32/2.51 (step @p70 :rule chain_m_resolution :premises (@p69 @p28 @p67 @p59) :args (@t68 @t48 (@list @t28 @t65 @t69))) % 2.32/2.51 (step @p71 :rule cnf_or_pos :args (@t72)) % 2.32/2.51 (step @p72 :rule reordering :premises (@p71) :args ((or @t70 @t58 @t71 @t73))) % 2.32/2.51 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p58 @p42) :args (@t73 (@list false true false) (@list @t68 @t58 @t46))) % 2.32/2.51 (assume-push @p80 @t27) % 2.32/2.51 (step @p75 :rule instantiate :premises (@p23) :args ((@list @t45 @t32 @t44))) % 2.32/2.51 (step-pop @p81 :rule scope :premises (@p75)) % 2.32/2.51 (step @p76 :rule process_scope :premises (@p81) :args (@t72)) % 2.32/2.51 (step @p78 :rule implies_elim :premises (@p76)) % 2.32/2.51 (step @p79 false :rule chain_m_resolution :premises (@p78 @p73 @p23) :args (false @t57 (@list @t72 @t27))) % 2.32/2.51 ) % 2.32/2.52 % SZS output end Proof % 2.32/2.52 % cvc5 exiting %------------------------------------------------------------------------------