%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : FLD055-1 : 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 : n027.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 08:15:32 AM UTC 2026 % Result : Unsatisfiable 15.45s 15.91s % Output : Proof 15.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : FLD055-1 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n027.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 22:44:36 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.39/15.64 --- Run --no-e-matching --full-saturate-quant at 6... % 15.45/15.91 % SZS status Unsatisfiable % 15.45/15.91 % SZS output start Proof % 15.45/15.91 ( % 15.45/15.91 (declare-sort $$unsorted 0) % 15.45/15.91 (declare-const tptp.c $$unsorted) % 15.45/15.91 (declare-const tptp.multiplicative_inverse (-> $$unsorted $$unsorted)) % 15.45/15.91 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 15.45/15.91 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 15.45/15.91 (declare-const tptp.a $$unsorted) % 15.45/15.91 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 15.45/15.91 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 15.45/15.91 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 15.45/15.91 (declare-const tptp.b $$unsorted) % 15.45/15.91 (declare-const tptp.multiplicative_identity $$unsorted) % 15.45/15.91 (declare-const tptp.additive_identity $$unsorted) % 15.45/15.91 (declare-const tptp.defined (-> $$unsorted Bool)) % 15.45/15.91 (define @t1 () (@var "Z" $$unsorted)) % 15.45/15.91 (define @t2 () (not (tptp.defined @t1))) % 15.45/15.91 (define @t3 () (@var "Y" $$unsorted)) % 15.45/15.91 (define @t4 () (not (tptp.defined @t3))) % 15.45/15.91 (define @t5 () (@var "X" $$unsorted)) % 15.45/15.91 (define @t6 () (not (tptp.defined @t5))) % 15.45/15.91 (define @t7 () (tptp.add @t5 @t3)) % 15.45/15.91 (define @t8 () (tptp.add @t3 @t1)) % 15.45/15.91 (define @t9 () (@list @t5 @t3 @t1)) % 15.45/15.91 (define @t10 () (@list @t5)) % 15.45/15.91 (define @t11 () (tptp.additive_inverse @t5)) % 15.45/15.91 (define @t12 () (@list @t5 @t3)) % 15.45/15.91 (define @t13 () (tptp.multiply @t5 @t3)) % 15.45/15.91 (define @t14 () (tptp.multiply @t3 @t1)) % 15.45/15.91 (define @t15 () (tptp.equalish @t5 tptp.additive_identity)) % 15.45/15.91 (define @t16 () (tptp.multiplicative_inverse @t5)) % 15.45/15.91 (define @t17 () (tptp.multiply @t5 @t1)) % 15.45/15.91 (define @t18 () (@list @t5 @t1 @t3)) % 15.45/15.91 (define @t19 () (tptp.less_or_equal @t3 @t5)) % 15.45/15.91 (define @t20 () (tptp.less_or_equal @t5 @t3)) % 15.45/15.91 (define @t21 () (not @t20)) % 15.45/15.91 (define @t22 () (tptp.equalish @t5 @t3)) % 15.45/15.91 (define @t23 () (tptp.less_or_equal @t3 @t1)) % 15.45/15.91 (define @t24 () (tptp.less_or_equal @t5 @t1)) % 15.45/15.91 (define @t25 () (tptp.add @t5 @t1)) % 15.45/15.91 (define @t26 () (not @t22)) % 15.45/15.91 (define @t27 () (forall (@list @t3 @t1 @t5) (or @t23 (not @t24) @t26))) % 15.45/15.91 (define @t28 () (tptp.defined tptp.a)) % 15.45/15.91 (define @t29 () (tptp.defined tptp.c)) % 15.45/15.91 (define @t30 () (tptp.less_or_equal tptp.a tptp.b)) % 15.45/15.91 (define @t31 () (tptp.equalish tptp.b tptp.c)) % 15.45/15.91 (define @t32 () (tptp.less_or_equal tptp.a tptp.c)) % 15.45/15.91 (define @t33 () (not @t29)) % 15.45/15.91 (define @t34 () (not @t28)) % 15.45/15.91 (define @t35 () (tptp.less_or_equal tptp.c tptp.a)) % 15.45/15.91 (define @t36 () (or @t32 @t35 @t34 @t33)) % 15.45/15.91 (define @t37 () (not @t31)) % 15.45/15.91 (define @t38 () (tptp.equalish tptp.c tptp.b)) % 15.45/15.91 (define @t39 () (or @t38 @t37)) % 15.45/15.91 (define @t40 () (@list false false)) % 15.45/15.91 (define @t41 () (tptp.less_or_equal tptp.c tptp.c)) % 15.45/15.91 (define @t42 () (or @t41 @t41 @t33 @t33)) % 15.45/15.91 (define @t43 () (not @t38)) % 15.45/15.91 (define @t44 () (not @t41)) % 15.45/15.91 (define @t45 () (tptp.less_or_equal tptp.b tptp.c)) % 15.45/15.91 (define @t46 () (or @t45 @t44 @t43)) % 15.45/15.91 (define @t47 () (tptp.equalish tptp.b tptp.a)) % 15.45/15.91 (define @t48 () (not @t47)) % 15.45/15.91 (define @t49 () (not @t45)) % 15.45/15.91 (define @t50 () (or @t32 @t49 @t48)) % 15.45/15.91 (define @t51 () (@list true false false)) % 15.45/15.91 (define @t52 () (not @t30)) % 15.45/15.91 (define @t53 () (tptp.less_or_equal tptp.b tptp.a)) % 15.45/15.91 (define @t54 () (not @t53)) % 15.45/15.91 (define @t55 () (or @t47 @t54 @t52)) % 15.45/15.91 (define @t56 () (not @t35)) % 15.45/15.91 (define @t57 () (or @t53 @t56 @t43)) % 15.45/15.91 (define @t58 () (not @t57)) % 15.45/15.91 (assume @p1 (forall @t9 (or (tptp.equalish (tptp.add @t5 @t8) (tptp.add @t7 @t1)) @t6 @t4 @t2))) % 15.45/15.91 (assume @p2 (forall @t10 (or (tptp.equalish (tptp.add tptp.additive_identity @t5) @t5) @t6))) % 15.45/15.91 (assume @p3 (forall @t10 (or (tptp.equalish (tptp.add @t5 @t11) tptp.additive_identity) @t6))) % 15.45/15.91 (assume @p4 (forall @t12 (or (tptp.equalish @t7 (tptp.add @t3 @t5)) @t6 @t4))) % 15.45/15.91 (assume @p5 (forall @t9 (or (tptp.equalish (tptp.multiply @t5 @t14) (tptp.multiply @t13 @t1)) @t6 @t4 @t2))) % 15.45/15.91 (assume @p6 (forall @t10 (or (tptp.equalish (tptp.multiply tptp.multiplicative_identity @t5) @t5) @t6))) % 15.45/15.91 (assume @p7 (forall @t10 (or (tptp.equalish (tptp.multiply @t5 @t16) tptp.multiplicative_identity) @t6 @t15))) % 15.45/15.91 (assume @p8 (forall @t12 (or (tptp.equalish @t13 (tptp.multiply @t3 @t5)) @t6 @t4))) % 15.45/15.91 (assume @p9 (forall @t18 (or (tptp.equalish (tptp.add @t17 @t14) (tptp.multiply @t7 @t1)) @t6 @t4 @t2))) % 15.45/15.91 (assume @p10 (forall @t12 (or (tptp.defined @t7) @t6 @t4))) % 15.45/15.91 (assume @p11 (tptp.defined tptp.additive_identity)) % 15.45/15.91 (assume @p12 (forall @t10 (or (tptp.defined @t11) @t6))) % 15.45/15.91 (assume @p13 (forall @t12 (or (tptp.defined @t13) @t6 @t4))) % 15.45/15.91 (assume @p14 (tptp.defined tptp.multiplicative_identity)) % 15.45/15.91 (assume @p15 (forall @t10 (or (tptp.defined @t16) @t6 @t15))) % 15.45/15.91 (assume @p16 (forall @t12 (or @t22 @t21 (not @t19)))) % 15.45/15.91 (assume @p17 (forall @t18 (or @t24 @t21 (not @t23)))) % 15.45/15.91 (assume @p18 (forall @t12 (or @t20 @t19 @t6 @t4))) % 15.45/15.91 (assume @p19 (forall @t18 (or (tptp.less_or_equal @t25 @t8) @t2 @t21))) % 15.45/15.91 (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))))) % 15.45/15.91 (assume @p21 (forall @t10 (or (tptp.equalish @t5 @t5) @t6))) % 15.45/15.91 (assume @p22 (forall @t12 (or @t22 (not (tptp.equalish @t3 @t5))))) % 15.45/15.91 (assume @p23 (forall @t18 (or (tptp.equalish @t5 @t1) @t26 (not (tptp.equalish @t3 @t1))))) % 15.45/15.91 (assume @p24 (forall @t18 (or (tptp.equalish @t25 @t8) @t2 @t26))) % 15.45/15.91 (assume @p25 (forall @t18 (or (tptp.equalish @t17 @t14) @t2 @t26))) % 15.45/15.91 (assume @p26 @t27) % 15.45/15.91 (assume @p27 (not (tptp.equalish tptp.additive_identity tptp.multiplicative_identity))) % 15.45/15.91 (assume @p28 @t28) % 15.45/15.91 (assume @p29 (tptp.defined tptp.b)) % 15.45/15.91 (assume @p30 @t29) % 15.45/15.91 (assume @p31 @t30) % 15.45/15.91 (assume @p32 @t31) % 15.45/15.91 (assume @p33 (not @t32)) % 15.45/15.91 (step @p34 :rule instantiate :premises (@p18) :args ((@list tptp.a tptp.c))) % 15.45/15.91 (step @p35 :rule cnf_or_pos :args (@t36)) % 15.45/15.91 (step @p36 :rule reordering :premises (@p35) :args ((or @t32 @t34 @t33 @t35 (not @t36)))) % 15.45/15.91 (step @p37 :rule chain_m_resolution :premises (@p36 @p33 @p28 @p30 @p34) :args (@t35 (@list true false false false) (@list @t32 @t28 @t29 @t36))) % 15.45/15.91 (step @p38 :rule instantiate :premises (@p22) :args ((@list tptp.c tptp.b))) % 15.45/15.91 (step @p39 :rule cnf_or_pos :args (@t39)) % 15.45/15.91 (step @p40 :rule reordering :premises (@p39) :args ((or @t37 @t38 (not @t39)))) % 15.45/15.91 (step @p41 :rule chain_m_resolution :premises (@p40 @p32 @p38) :args (@t38 @t40 (@list @t31 @t39))) % 15.45/15.91 (step @p42 :rule instantiate :premises (@p16) :args ((@list tptp.b tptp.a))) % 15.45/15.91 (step @p43 :rule instantiate :premises (@p26) :args ((@list tptp.a tptp.c tptp.b))) % 15.45/15.91 (step @p44 :rule instantiate :premises (@p26) :args ((@list tptp.b tptp.c tptp.c))) % 15.45/15.91 (step @p45 :rule instantiate :premises (@p18) :args ((@list tptp.c tptp.c))) % 15.45/15.91 (step @p46 :rule cnf_or_pos :args (@t42)) % 15.45/15.91 (step @p47 :rule factoring :premises (@p46)) % 15.45/15.91 (step @p48 :rule reordering :premises (@p47) :args ((or @t33 @t41 (not @t42)))) % 15.45/15.91 (step @p49 :rule chain_m_resolution :premises (@p48 @p30 @p45) :args (@t41 @t40 (@list @t29 @t42))) % 15.45/15.91 (step @p50 :rule cnf_or_pos :args (@t46)) % 15.45/15.91 (step @p51 :rule reordering :premises (@p50) :args ((or @t43 @t45 @t44 (not @t46)))) % 15.45/15.91 (step @p52 :rule chain_m_resolution :premises (@p51 @p41 @p49 @p44) :args (@t45 (@list false false false) (@list @t38 @t41 @t46))) % 15.45/15.91 (step @p53 :rule cnf_or_pos :args (@t50)) % 15.45/15.91 (step @p54 :rule reordering :premises (@p53) :args ((or @t32 @t48 @t49 (not @t50)))) % 15.45/15.91 (step @p55 :rule chain_m_resolution :premises (@p54 @p33 @p52 @p43) :args (@t48 @t51 (@list @t32 @t45 @t50))) % 15.45/15.91 (step @p56 :rule cnf_or_pos :args (@t55)) % 15.45/15.91 (step @p57 :rule reordering :premises (@p56) :args ((or @t52 @t47 @t54 (not @t55)))) % 15.45/15.91 (step @p58 :rule chain_m_resolution :premises (@p57 @p31 @p55 @p42) :args (@t54 (@list false true false) (@list @t30 @t47 @t55))) % 15.45/15.91 (step @p59 :rule cnf_or_pos :args (@t57)) % 15.45/15.91 (step @p60 :rule reordering :premises (@p59) :args ((or @t53 @t43 @t56 @t58))) % 15.45/15.91 (step @p61 :rule chain_m_resolution :premises (@p60 @p58 @p41 @p37) :args (@t58 @t51 (@list @t53 @t38 @t35))) % 15.45/15.91 (assume-push @p68 @t27) % 15.45/15.91 (step @p63 :rule instantiate :premises (@p26) :args ((@list tptp.b tptp.a tptp.c))) % 15.45/15.91 (step-pop @p69 :rule scope :premises (@p63)) % 15.45/15.91 (step @p64 :rule process_scope :premises (@p69) :args (@t57)) % 15.45/15.91 (step @p66 :rule implies_elim :premises (@p64)) % 15.45/15.91 (step @p67 false :rule chain_m_resolution :premises (@p66 @p61 @p26) :args (false (@list true false) (@list @t57 @t27))) % 15.45/15.91 ) % 15.45/15.91 % SZS output end Proof % 15.45/15.91 % cvc5 exiting %------------------------------------------------------------------------------