%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : FLD013-2 : 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 : 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 08:15:22 AM UTC 2026 % Result : Unsatisfiable 30.42s 30.63s % Output : Proof 30.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : FLD013-2 : 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 22:34:18 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.42/15.68 --- Run --no-e-matching --full-saturate-quant at 6... % 15.52/21.71 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.52/27.76 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 30.42/30.63 % SZS status Unsatisfiable % 30.42/30.63 % SZS output start Proof % 30.42/30.63 ( % 30.42/30.63 (declare-sort $$unsorted 0) % 30.42/30.63 (declare-const tptp.defined (-> $$unsorted Bool)) % 30.42/30.63 (declare-const tptp.additive_identity $$unsorted) % 30.42/30.63 (declare-const tptp.multiplicative_identity $$unsorted) % 30.42/30.63 (declare-const tptp.b $$unsorted) % 30.42/30.63 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 30.42/30.63 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 30.42/30.63 (declare-const tptp.a $$unsorted) % 30.42/30.63 (declare-const tptp.u $$unsorted) % 30.42/30.63 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 30.42/30.63 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 30.42/30.63 (declare-const tptp.multiplicative_inverse (-> $$unsorted $$unsorted)) % 30.42/30.63 (declare-const tptp.c $$unsorted) % 30.42/30.63 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 30.42/30.63 (declare-const tptp.d $$unsorted) % 30.42/30.63 (define @t1 () (@var "Z" $$unsorted)) % 30.42/30.63 (define @t2 () (not (tptp.defined @t1))) % 30.42/30.63 (define @t3 () (@var "Y" $$unsorted)) % 30.42/30.63 (define @t4 () (not (tptp.defined @t3))) % 30.42/30.63 (define @t5 () (@var "X" $$unsorted)) % 30.42/30.63 (define @t6 () (not (tptp.defined @t5))) % 30.42/30.63 (define @t7 () (tptp.add @t5 @t3)) % 30.42/30.63 (define @t8 () (tptp.add @t3 @t1)) % 30.42/30.63 (define @t9 () (@list @t5 @t3 @t1)) % 30.42/30.63 (define @t10 () (@list @t5)) % 30.42/30.63 (define @t11 () (tptp.additive_inverse @t5)) % 30.42/30.63 (define @t12 () (@list @t5 @t3)) % 30.42/30.63 (define @t13 () (tptp.multiply @t5 @t3)) % 30.42/30.63 (define @t14 () (tptp.multiply @t3 @t1)) % 30.42/30.63 (define @t15 () (tptp.equalish @t5 tptp.additive_identity)) % 30.42/30.63 (define @t16 () (tptp.multiplicative_inverse @t5)) % 30.42/30.63 (define @t17 () (tptp.multiply @t5 @t1)) % 30.42/30.63 (define @t18 () (@list @t5 @t1 @t3)) % 30.42/30.63 (define @t19 () (tptp.less_or_equal @t3 @t5)) % 30.42/30.63 (define @t20 () (tptp.less_or_equal @t5 @t3)) % 30.42/30.63 (define @t21 () (not @t20)) % 30.42/30.63 (define @t22 () (tptp.equalish @t5 @t3)) % 30.42/30.63 (define @t23 () (tptp.less_or_equal @t3 @t1)) % 30.42/30.63 (define @t24 () (tptp.less_or_equal @t5 @t1)) % 30.42/30.63 (define @t25 () (tptp.add @t5 @t1)) % 30.42/30.63 (define @t26 () (not @t22)) % 30.42/30.63 (define @t27 () (forall @t18 (or (tptp.equalish @t5 @t1) @t26 (not (tptp.equalish @t3 @t1))))) % 30.42/30.63 (define @t28 () (tptp.defined tptp.b)) % 30.42/30.63 (define @t29 () (tptp.defined tptp.c)) % 30.42/30.63 (define @t30 () (tptp.equalish tptp.a tptp.b)) % 30.42/30.63 (define @t31 () (tptp.equalish tptp.c tptp.d)) % 30.42/30.63 (define @t32 () (tptp.add tptp.a tptp.c)) % 30.42/30.63 (define @t33 () (tptp.equalish @t32 tptp.u)) % 30.42/30.63 (define @t34 () (tptp.add tptp.d tptp.b)) % 30.42/30.63 (define @t35 () (tptp.equalish @t34 tptp.u)) % 30.42/30.63 (define @t36 () (tptp.add tptp.b tptp.c)) % 30.42/30.63 (define @t37 () (not @t30)) % 30.42/30.63 (define @t38 () (not @t29)) % 30.42/30.63 (define @t39 () (tptp.equalish @t32 @t36)) % 30.42/30.63 (define @t40 () (or @t39 @t38 @t37)) % 30.42/30.63 (define @t41 () (@list false false false)) % 30.42/30.63 (define @t42 () (not @t33)) % 30.42/30.63 (define @t43 () (tptp.equalish @t34 @t32)) % 30.42/30.63 (define @t44 () (not @t43)) % 30.42/30.63 (define @t45 () (or @t35 @t44 @t42)) % 30.42/30.63 (define @t46 () (@list true false false)) % 30.42/30.63 (define @t47 () (tptp.equalish @t32 @t34)) % 30.42/30.63 (define @t48 () (not @t47)) % 30.42/30.63 (define @t49 () (or @t43 @t48)) % 30.42/30.63 (define @t50 () (@list true false)) % 30.42/30.63 (define @t51 () (tptp.equalish @t36 @t34)) % 30.42/30.63 (define @t52 () (not @t51)) % 30.42/30.63 (define @t53 () (not @t39)) % 30.42/30.63 (define @t54 () (or @t47 @t53 @t52)) % 30.42/30.63 (define @t55 () (not @t28)) % 30.42/30.63 (define @t56 () (tptp.add tptp.c tptp.b)) % 30.42/30.63 (define @t57 () (tptp.equalish @t36 @t56)) % 30.42/30.63 (define @t58 () (or @t57 @t55 @t38)) % 30.42/30.63 (define @t59 () (not @t31)) % 30.42/30.63 (define @t60 () (tptp.equalish @t56 @t34)) % 30.42/30.63 (define @t61 () (or @t60 @t55 @t59)) % 30.42/30.63 (define @t62 () (not @t60)) % 30.42/30.63 (define @t63 () (not @t57)) % 30.42/30.63 (define @t64 () (or @t51 @t63 @t62)) % 30.42/30.63 (define @t65 () (not @t64)) % 30.42/30.63 (assume @p1 (forall @t9 (or (tptp.equalish (tptp.add @t5 @t8) (tptp.add @t7 @t1)) @t6 @t4 @t2))) % 30.42/30.63 (assume @p2 (forall @t10 (or (tptp.equalish (tptp.add tptp.additive_identity @t5) @t5) @t6))) % 30.42/30.63 (assume @p3 (forall @t10 (or (tptp.equalish (tptp.add @t5 @t11) tptp.additive_identity) @t6))) % 30.42/30.63 (assume @p4 (forall @t12 (or (tptp.equalish @t7 (tptp.add @t3 @t5)) @t6 @t4))) % 30.42/30.63 (assume @p5 (forall @t9 (or (tptp.equalish (tptp.multiply @t5 @t14) (tptp.multiply @t13 @t1)) @t6 @t4 @t2))) % 30.42/30.63 (assume @p6 (forall @t10 (or (tptp.equalish (tptp.multiply tptp.multiplicative_identity @t5) @t5) @t6))) % 30.42/30.63 (assume @p7 (forall @t10 (or (tptp.equalish (tptp.multiply @t5 @t16) tptp.multiplicative_identity) @t6 @t15))) % 30.42/30.63 (assume @p8 (forall @t12 (or (tptp.equalish @t13 (tptp.multiply @t3 @t5)) @t6 @t4))) % 30.42/30.63 (assume @p9 (forall @t18 (or (tptp.equalish (tptp.add @t17 @t14) (tptp.multiply @t7 @t1)) @t6 @t4 @t2))) % 30.42/30.63 (assume @p10 (forall @t12 (or (tptp.defined @t7) @t6 @t4))) % 30.42/30.63 (assume @p11 (tptp.defined tptp.additive_identity)) % 30.42/30.63 (assume @p12 (forall @t10 (or (tptp.defined @t11) @t6))) % 30.42/30.63 (assume @p13 (forall @t12 (or (tptp.defined @t13) @t6 @t4))) % 30.42/30.63 (assume @p14 (tptp.defined tptp.multiplicative_identity)) % 30.42/30.63 (assume @p15 (forall @t10 (or (tptp.defined @t16) @t6 @t15))) % 30.42/30.63 (assume @p16 (forall @t12 (or @t22 @t21 (not @t19)))) % 30.42/30.63 (assume @p17 (forall @t18 (or @t24 @t21 (not @t23)))) % 30.42/30.63 (assume @p18 (forall @t12 (or @t20 @t19 @t6 @t4))) % 30.42/30.63 (assume @p19 (forall @t18 (or (tptp.less_or_equal @t25 @t8) @t2 @t21))) % 30.42/30.63 (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))))) % 30.42/30.63 (assume @p21 (forall @t10 (or (tptp.equalish @t5 @t5) @t6))) % 30.42/30.63 (assume @p22 (forall @t12 (or @t22 (not (tptp.equalish @t3 @t5))))) % 30.42/30.63 (assume @p23 @t27) % 30.42/30.63 (assume @p24 (forall @t18 (or (tptp.equalish @t25 @t8) @t2 @t26))) % 30.42/30.63 (assume @p25 (forall @t18 (or (tptp.equalish @t17 @t14) @t2 @t26))) % 30.42/30.63 (assume @p26 (forall (@list @t3 @t1 @t5) (or @t23 (not @t24) @t26))) % 30.42/30.63 (assume @p27 (not (tptp.equalish tptp.additive_identity tptp.multiplicative_identity))) % 30.42/30.63 (assume @p28 (tptp.defined tptp.a)) % 30.42/30.63 (assume @p29 @t28) % 30.42/30.63 (assume @p30 @t29) % 30.42/30.63 (assume @p31 (tptp.defined tptp.d)) % 30.42/30.63 (assume @p32 (tptp.defined tptp.u)) % 30.42/30.63 (assume @p33 @t30) % 30.42/30.63 (assume @p34 @t31) % 30.42/30.63 (assume @p35 @t33) % 30.42/30.63 (assume @p36 (not @t35)) % 30.42/30.63 (step @p37 :rule instantiate :premises (@p23) :args ((@list @t32 @t34 @t36))) % 30.42/30.63 (step @p38 :rule instantiate :premises (@p24) :args ((@list tptp.a tptp.c tptp.b))) % 30.42/30.63 (step @p39 :rule cnf_or_pos :args (@t40)) % 30.42/30.63 (step @p40 :rule reordering :premises (@p39) :args ((or @t38 @t37 @t39 (not @t40)))) % 30.42/30.63 (step @p41 :rule chain_m_resolution :premises (@p40 @p30 @p33 @p38) :args (@t39 @t41 (@list @t29 @t30 @t40))) % 30.42/30.63 (step @p42 :rule instantiate :premises (@p22) :args ((@list @t34 @t32))) % 30.42/30.63 (step @p43 :rule instantiate :premises (@p23) :args ((@list @t34 tptp.u @t32))) % 30.42/30.63 (step @p44 :rule cnf_or_pos :args (@t45)) % 30.42/30.63 (step @p45 :rule reordering :premises (@p44) :args ((or @t35 @t42 @t44 (not @t45)))) % 30.42/30.63 (step @p46 :rule chain_m_resolution :premises (@p45 @p36 @p35 @p43) :args (@t44 @t46 (@list @t35 @t33 @t45))) % 30.42/30.63 (step @p47 :rule cnf_or_pos :args (@t49)) % 30.42/30.63 (step @p48 :rule reordering :premises (@p47) :args ((or @t43 @t48 (not @t49)))) % 30.42/30.63 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p42) :args (@t48 @t50 (@list @t43 @t49))) % 30.42/30.63 (step @p50 :rule cnf_or_pos :args (@t54)) % 30.42/30.63 (step @p51 :rule reordering :premises (@p50) :args ((or @t47 @t53 @t52 (not @t54)))) % 30.42/30.63 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p41 @p37) :args (@t52 @t46 (@list @t47 @t39 @t54))) % 30.42/30.63 (step @p53 :rule instantiate :premises (@p4) :args ((@list tptp.b tptp.c))) % 30.42/30.63 (step @p54 :rule cnf_or_pos :args (@t58)) % 30.42/30.63 (step @p55 :rule reordering :premises (@p54) :args ((or @t55 @t38 @t57 (not @t58)))) % 30.42/30.63 (step @p56 :rule chain_m_resolution :premises (@p55 @p29 @p30 @p53) :args (@t57 @t41 (@list @t28 @t29 @t58))) % 30.42/30.63 (step @p57 :rule instantiate :premises (@p24) :args ((@list tptp.c tptp.b tptp.d))) % 30.42/30.63 (step @p58 :rule cnf_or_pos :args (@t61)) % 30.42/30.63 (step @p59 :rule reordering :premises (@p58) :args ((or @t55 @t59 @t60 (not @t61)))) % 30.42/30.63 (step @p60 :rule chain_m_resolution :premises (@p59 @p29 @p34 @p57) :args (@t60 @t41 (@list @t28 @t31 @t61))) % 30.42/30.63 (step @p61 :rule cnf_or_pos :args (@t64)) % 30.42/30.63 (step @p62 :rule reordering :premises (@p61) :args ((or @t62 @t63 @t51 @t65))) % 30.42/30.63 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p56 @p52) :args (@t65 (@list false false true) (@list @t60 @t57 @t51))) % 30.42/30.63 (assume-push @p70 @t27) % 30.42/30.63 (step @p65 :rule instantiate :premises (@p23) :args ((@list @t36 @t34 @t56))) % 30.42/30.63 (step-pop @p71 :rule scope :premises (@p65)) % 30.42/30.63 (step @p66 :rule process_scope :premises (@p71) :args (@t64)) % 30.42/30.63 (step @p68 :rule implies_elim :premises (@p66)) % 30.42/30.63 (step @p69 false :rule chain_m_resolution :premises (@p68 @p63 @p23) :args (false @t50 (@list @t64 @t27))) % 30.42/30.63 ) % 30.42/30.64 % SZS output end Proof % 30.42/30.64 % cvc5 exiting %------------------------------------------------------------------------------