%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : FLD025-2 : 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 : 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 08:15:24 AM UTC 2026 % Result : Unsatisfiable 204.48s 204.79s % Output : Proof 203.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : FLD025-2 : 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 % 0.16/0.34 % Computer : n017.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 22:35:01 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.40/15.68 --- Run --no-e-matching --full-saturate-quant at 6... % 21.51/21.71 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.50/27.75 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.61/33.84 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.69/64.00 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.82/79.07 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 78.88/112.21 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 127.67/128.03 --- Run --prenex-quant=none --full-saturate-quant at 30... % 157.91/158.18 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 172.98/173.24 --- Run --relevant-triggers --full-saturate-quant at 30... % 203.08/203.38 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 204.48/204.79 % SZS status Unsatisfiable % 204.48/204.79 % SZS output start Proof % 204.48/204.79 ( % 204.48/204.79 (declare-sort $$unsorted 0) % 204.48/204.79 (declare-const tptp.v $$unsorted) % 204.48/204.79 (declare-const tptp.defined (-> $$unsorted Bool)) % 204.48/204.79 (declare-const tptp.additive_identity $$unsorted) % 204.48/204.79 (declare-const tptp.multiplicative_identity $$unsorted) % 204.48/204.79 (declare-const tptp.b $$unsorted) % 204.48/204.79 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 204.48/204.79 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 204.48/204.79 (declare-const tptp.a $$unsorted) % 204.48/204.79 (declare-const tptp.u $$unsorted) % 204.48/204.79 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 204.48/204.79 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 204.48/204.79 (declare-const tptp.multiplicative_inverse (-> $$unsorted $$unsorted)) % 204.48/204.79 (declare-const tptp.c $$unsorted) % 204.48/204.79 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 204.48/204.79 (declare-const tptp.d $$unsorted) % 204.48/204.79 (define @t1 () (@var "Z" $$unsorted)) % 204.48/204.79 (define @t2 () (not (tptp.defined @t1))) % 204.48/204.79 (define @t3 () (@var "Y" $$unsorted)) % 204.48/204.79 (define @t4 () (not (tptp.defined @t3))) % 204.48/204.79 (define @t5 () (@var "X" $$unsorted)) % 204.48/204.79 (define @t6 () (not (tptp.defined @t5))) % 204.48/204.79 (define @t7 () (tptp.add @t5 @t3)) % 204.48/204.79 (define @t8 () (tptp.add @t3 @t1)) % 204.48/204.79 (define @t9 () (@list @t5 @t3 @t1)) % 204.48/204.79 (define @t10 () (@list @t5)) % 204.48/204.79 (define @t11 () (tptp.additive_inverse @t5)) % 204.48/204.79 (define @t12 () (@list @t5 @t3)) % 204.48/204.79 (define @t13 () (tptp.multiply @t5 @t3)) % 204.48/204.79 (define @t14 () (tptp.multiply @t3 @t1)) % 204.48/204.79 (define @t15 () (tptp.equalish @t5 tptp.additive_identity)) % 204.48/204.79 (define @t16 () (tptp.multiplicative_inverse @t5)) % 204.48/204.79 (define @t17 () (tptp.multiply @t5 @t1)) % 204.48/204.79 (define @t18 () (@list @t5 @t1 @t3)) % 204.48/204.79 (define @t19 () (tptp.less_or_equal @t3 @t5)) % 204.48/204.79 (define @t20 () (tptp.less_or_equal @t5 @t3)) % 204.48/204.79 (define @t21 () (not @t20)) % 204.48/204.79 (define @t22 () (tptp.equalish @t5 @t3)) % 204.48/204.79 (define @t23 () (tptp.less_or_equal @t3 @t1)) % 204.48/204.79 (define @t24 () (tptp.less_or_equal @t5 @t1)) % 204.48/204.79 (define @t25 () (tptp.add @t5 @t1)) % 204.48/204.79 (define @t26 () (not @t22)) % 204.48/204.79 (define @t27 () (forall @t18 (or (tptp.equalish @t5 @t1) @t26 (not (tptp.equalish @t3 @t1))))) % 204.48/204.79 (define @t28 () (tptp.defined tptp.b)) % 204.48/204.79 (define @t29 () (tptp.defined tptp.c)) % 204.48/204.79 (define @t30 () (tptp.equalish tptp.a tptp.b)) % 204.48/204.79 (define @t31 () (tptp.equalish tptp.c tptp.d)) % 204.48/204.79 (define @t32 () (tptp.multiply tptp.a tptp.c)) % 204.48/204.79 (define @t33 () (tptp.equalish @t32 tptp.u)) % 204.48/204.79 (define @t34 () (tptp.multiply tptp.d tptp.b)) % 204.48/204.79 (define @t35 () (tptp.equalish @t34 tptp.v)) % 204.48/204.79 (define @t36 () (tptp.equalish tptp.v tptp.u)) % 204.48/204.79 (define @t37 () (tptp.multiply tptp.b tptp.c)) % 204.48/204.79 (define @t38 () (tptp.multiply tptp.c tptp.b)) % 204.48/204.79 (define @t39 () (not @t31)) % 204.48/204.79 (define @t40 () (not @t28)) % 204.48/204.79 (define @t41 () (tptp.equalish @t38 @t34)) % 204.48/204.79 (define @t42 () (or @t41 @t40 @t39)) % 204.48/204.79 (define @t43 () (@list false false false)) % 204.48/204.79 (define @t44 () (not @t35)) % 204.48/204.79 (define @t45 () (tptp.equalish tptp.v @t34)) % 204.48/204.79 (define @t46 () (or @t45 @t44)) % 204.48/204.79 (define @t47 () (@list false false)) % 204.48/204.79 (define @t48 () (tptp.equalish @t34 tptp.u)) % 204.48/204.79 (define @t49 () (not @t48)) % 204.48/204.79 (define @t50 () (not @t45)) % 204.48/204.79 (define @t51 () (or @t36 @t50 @t49)) % 204.48/204.79 (define @t52 () (@list true false false)) % 204.48/204.79 (define @t53 () (tptp.equalish tptp.u @t34)) % 204.48/204.79 (define @t54 () (not @t53)) % 204.48/204.79 (define @t55 () (or @t48 @t54)) % 204.48/204.79 (define @t56 () (@list true false)) % 204.48/204.79 (define @t57 () (not @t41)) % 204.48/204.79 (define @t58 () (tptp.equalish tptp.u @t38)) % 204.48/204.79 (define @t59 () (not @t58)) % 204.48/204.79 (define @t60 () (or @t53 @t59 @t57)) % 204.48/204.79 (define @t61 () (not @t29)) % 204.48/204.79 (define @t62 () (tptp.equalish @t37 @t38)) % 204.48/204.79 (define @t63 () (or @t62 @t40 @t61)) % 204.48/204.79 (define @t64 () (not @t62)) % 204.48/204.79 (define @t65 () (tptp.equalish tptp.u @t37)) % 204.48/204.79 (define @t66 () (not @t65)) % 204.48/204.79 (define @t67 () (or @t58 @t66 @t64)) % 204.48/204.79 (define @t68 () (not @t30)) % 204.48/204.79 (define @t69 () (tptp.equalish @t32 @t37)) % 204.48/204.79 (define @t70 () (or @t69 @t61 @t68)) % 204.48/204.79 (define @t71 () (not @t33)) % 204.48/204.79 (define @t72 () (tptp.equalish tptp.u @t32)) % 204.48/204.79 (define @t73 () (or @t72 @t71)) % 204.48/204.79 (define @t74 () (not @t69)) % 204.48/204.79 (define @t75 () (not @t72)) % 204.48/204.79 (define @t76 () (or @t65 @t75 @t74)) % 204.48/204.79 (define @t77 () (not @t76)) % 204.48/204.79 (assume @p1 (forall @t9 (or (tptp.equalish (tptp.add @t5 @t8) (tptp.add @t7 @t1)) @t6 @t4 @t2))) % 204.48/204.79 (assume @p2 (forall @t10 (or (tptp.equalish (tptp.add tptp.additive_identity @t5) @t5) @t6))) % 204.48/204.79 (assume @p3 (forall @t10 (or (tptp.equalish (tptp.add @t5 @t11) tptp.additive_identity) @t6))) % 204.48/204.79 (assume @p4 (forall @t12 (or (tptp.equalish @t7 (tptp.add @t3 @t5)) @t6 @t4))) % 204.48/204.79 (assume @p5 (forall @t9 (or (tptp.equalish (tptp.multiply @t5 @t14) (tptp.multiply @t13 @t1)) @t6 @t4 @t2))) % 204.48/204.79 (assume @p6 (forall @t10 (or (tptp.equalish (tptp.multiply tptp.multiplicative_identity @t5) @t5) @t6))) % 204.48/204.79 (assume @p7 (forall @t10 (or (tptp.equalish (tptp.multiply @t5 @t16) tptp.multiplicative_identity) @t6 @t15))) % 204.48/204.79 (assume @p8 (forall @t12 (or (tptp.equalish @t13 (tptp.multiply @t3 @t5)) @t6 @t4))) % 204.48/204.79 (assume @p9 (forall @t18 (or (tptp.equalish (tptp.add @t17 @t14) (tptp.multiply @t7 @t1)) @t6 @t4 @t2))) % 204.48/204.79 (assume @p10 (forall @t12 (or (tptp.defined @t7) @t6 @t4))) % 204.48/204.79 (assume @p11 (tptp.defined tptp.additive_identity)) % 204.48/204.79 (assume @p12 (forall @t10 (or (tptp.defined @t11) @t6))) % 204.48/204.79 (assume @p13 (forall @t12 (or (tptp.defined @t13) @t6 @t4))) % 204.48/204.79 (assume @p14 (tptp.defined tptp.multiplicative_identity)) % 204.48/204.79 (assume @p15 (forall @t10 (or (tptp.defined @t16) @t6 @t15))) % 204.48/204.79 (assume @p16 (forall @t12 (or @t22 @t21 (not @t19)))) % 204.48/204.79 (assume @p17 (forall @t18 (or @t24 @t21 (not @t23)))) % 204.48/204.79 (assume @p18 (forall @t12 (or @t20 @t19 @t6 @t4))) % 204.48/204.79 (assume @p19 (forall @t18 (or (tptp.less_or_equal @t25 @t8) @t2 @t21))) % 204.48/204.79 (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))))) % 204.48/204.79 (assume @p21 (forall @t10 (or (tptp.equalish @t5 @t5) @t6))) % 204.48/204.79 (assume @p22 (forall @t12 (or @t22 (not (tptp.equalish @t3 @t5))))) % 204.48/204.79 (assume @p23 @t27) % 204.48/204.79 (assume @p24 (forall @t18 (or (tptp.equalish @t25 @t8) @t2 @t26))) % 204.48/204.79 (assume @p25 (forall @t18 (or (tptp.equalish @t17 @t14) @t2 @t26))) % 204.48/204.79 (assume @p26 (forall (@list @t3 @t1 @t5) (or @t23 (not @t24) @t26))) % 204.48/204.79 (assume @p27 (not (tptp.equalish tptp.additive_identity tptp.multiplicative_identity))) % 204.48/204.79 (assume @p28 (tptp.defined tptp.a)) % 204.48/204.79 (assume @p29 @t28) % 204.48/204.79 (assume @p30 @t29) % 204.48/204.79 (assume @p31 (tptp.defined tptp.d)) % 204.48/204.79 (assume @p32 (tptp.defined tptp.u)) % 204.48/204.79 (assume @p33 (tptp.defined tptp.v)) % 204.48/204.79 (assume @p34 @t30) % 204.48/204.79 (assume @p35 @t31) % 204.48/204.79 (assume @p36 @t33) % 204.48/204.79 (assume @p37 @t35) % 204.48/204.79 (assume @p38 (not @t36)) % 204.48/204.79 (step @p39 :rule instantiate :premises (@p23) :args ((@list tptp.u @t38 @t37))) % 204.48/204.79 (step @p40 :rule instantiate :premises (@p23) :args ((@list tptp.u @t34 @t38))) % 204.48/204.79 (step @p41 :rule instantiate :premises (@p25) :args ((@list tptp.c tptp.b tptp.d))) % 204.48/204.79 (step @p42 :rule cnf_or_pos :args (@t42)) % 204.48/204.79 (step @p43 :rule reordering :premises (@p42) :args ((or @t40 @t39 @t41 (not @t42)))) % 204.48/204.79 (step @p44 :rule chain_m_resolution :premises (@p43 @p29 @p35 @p41) :args (@t41 @t43 (@list @t28 @t31 @t42))) % 204.48/204.79 (step @p45 :rule instantiate :premises (@p22) :args ((@list @t34 tptp.u))) % 204.48/204.79 (step @p46 :rule instantiate :premises (@p23) :args ((@list tptp.v tptp.u @t34))) % 204.48/204.79 (step @p47 :rule instantiate :premises (@p22) :args ((@list tptp.v @t34))) % 204.48/204.79 (step @p48 :rule cnf_or_pos :args (@t46)) % 204.48/204.79 (step @p49 :rule reordering :premises (@p48) :args ((or @t44 @t45 (not @t46)))) % 204.48/204.79 (step @p50 :rule chain_m_resolution :premises (@p49 @p37 @p47) :args (@t45 @t47 (@list @t35 @t46))) % 204.48/204.79 (step @p51 :rule cnf_or_pos :args (@t51)) % 204.48/204.79 (step @p52 :rule reordering :premises (@p51) :args ((or @t36 @t50 @t49 (not @t51)))) % 204.48/204.79 (step @p53 :rule chain_m_resolution :premises (@p52 @p38 @p50 @p46) :args (@t49 @t52 (@list @t36 @t45 @t51))) % 204.48/204.79 (step @p54 :rule cnf_or_pos :args (@t55)) % 204.48/204.79 (step @p55 :rule reordering :premises (@p54) :args ((or @t48 @t54 (not @t55)))) % 204.48/204.79 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p45) :args (@t54 @t56 (@list @t48 @t55))) % 204.48/204.79 (step @p57 :rule cnf_or_pos :args (@t60)) % 204.48/204.79 (step @p58 :rule reordering :premises (@p57) :args ((or @t53 @t57 @t59 (not @t60)))) % 204.48/204.79 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p44 @p40) :args (@t59 @t52 (@list @t53 @t41 @t60))) % 204.48/204.79 (step @p60 :rule instantiate :premises (@p8) :args ((@list tptp.b tptp.c))) % 204.48/204.79 (step @p61 :rule cnf_or_pos :args (@t63)) % 204.48/204.79 (step @p62 :rule reordering :premises (@p61) :args ((or @t40 @t61 @t62 (not @t63)))) % 204.48/204.79 (step @p63 :rule chain_m_resolution :premises (@p62 @p29 @p30 @p60) :args (@t62 @t43 (@list @t28 @t29 @t63))) % 204.48/204.79 (step @p64 :rule cnf_or_pos :args (@t67)) % 204.48/204.79 (step @p65 :rule reordering :premises (@p64) :args ((or @t64 @t58 @t66 (not @t67)))) % 204.48/204.79 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p59 @p39) :args (@t66 (@list false true false) (@list @t62 @t58 @t67))) % 204.48/204.79 (step @p67 :rule instantiate :premises (@p25) :args ((@list tptp.a tptp.c tptp.b))) % 204.48/204.79 (step @p68 :rule cnf_or_pos :args (@t70)) % 204.48/204.79 (step @p69 :rule reordering :premises (@p68) :args ((or @t61 @t68 @t69 (not @t70)))) % 204.48/204.79 (step @p70 :rule chain_m_resolution :premises (@p69 @p30 @p34 @p67) :args (@t69 @t43 (@list @t29 @t30 @t70))) % 204.48/204.79 (step @p71 :rule instantiate :premises (@p22) :args ((@list tptp.u @t32))) % 204.48/204.79 (step @p72 :rule cnf_or_pos :args (@t73)) % 204.48/204.79 (step @p73 :rule reordering :premises (@p72) :args ((or @t71 @t72 (not @t73)))) % 204.48/204.79 (step @p74 :rule chain_m_resolution :premises (@p73 @p36 @p71) :args (@t72 @t47 (@list @t33 @t73))) % 204.48/204.79 (step @p75 :rule cnf_or_pos :args (@t76)) % 204.48/204.79 (step @p76 :rule reordering :premises (@p75) :args ((or @t75 @t74 @t65 @t77))) % 204.48/204.79 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p70 @p66) :args (@t77 (@list false false true) (@list @t72 @t69 @t65))) % 204.48/204.79 (assume-push @p84 @t27) % 204.48/204.79 (step @p79 :rule instantiate :premises (@p23) :args ((@list tptp.u @t37 @t32))) % 204.48/204.79 (step-pop @p85 :rule scope :premises (@p79)) % 204.48/204.79 (step @p80 :rule process_scope :premises (@p85) :args (@t76)) % 204.48/204.79 (step @p82 :rule implies_elim :premises (@p80)) % 204.48/204.79 (step @p83 false :rule chain_m_resolution :premises (@p82 @p77 @p23) :args (false @t56 (@list @t76 @t27))) % 204.48/204.79 ) % 203.17/204.80 % SZS output end Proof % 203.17/204.80 % cvc5 exiting %------------------------------------------------------------------------------