%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : FLD070-2 : 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 : n021.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 08:15:36 AM UTC 2026 % Result : Unsatisfiable 16.73s 16.98s % Output : Proof 16.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : FLD070-2 : 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 % 0.17/0.33 % Computer : n021.cluster.edu % 0.17/0.33 % Model : x86_64 x86_64 % 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.33 % Memory : 8042.1875MB % 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.33 % CPULimit : 300 % 0.17/0.33 % WCLimit : 300 % 0.17/0.33 % DateTime : Mon Jun 1 22:49:19 EDT 2026 % 0.17/0.34 % 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... % 0.34/15.61 --- Run --no-e-matching --full-saturate-quant at 6... % 16.73/16.98 % SZS status Unsatisfiable % 16.73/16.98 % SZS output start Proof % 16.73/16.98 ( % 16.73/16.98 (declare-sort $$unsorted 0) % 16.73/16.98 (declare-const tptp.c $$unsorted) % 16.73/16.98 (declare-const tptp.multiplicative_inverse (-> $$unsorted $$unsorted)) % 16.73/16.98 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 16.73/16.98 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 16.73/16.98 (declare-const tptp.a $$unsorted) % 16.73/16.98 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 16.73/16.98 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 16.73/16.98 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 16.73/16.98 (declare-const tptp.b $$unsorted) % 16.73/16.98 (declare-const tptp.multiplicative_identity $$unsorted) % 16.73/16.98 (declare-const tptp.additive_identity $$unsorted) % 16.73/16.98 (declare-const tptp.defined (-> $$unsorted Bool)) % 16.73/16.98 (define @t1 () (@var "Z" $$unsorted)) % 16.73/16.98 (define @t2 () (not (tptp.defined @t1))) % 16.73/16.98 (define @t3 () (@var "Y" $$unsorted)) % 16.73/16.98 (define @t4 () (not (tptp.defined @t3))) % 16.73/16.98 (define @t5 () (@var "X" $$unsorted)) % 16.73/16.98 (define @t6 () (not (tptp.defined @t5))) % 16.73/16.98 (define @t7 () (tptp.add @t5 @t3)) % 16.73/16.98 (define @t8 () (tptp.add @t3 @t1)) % 16.73/16.98 (define @t9 () (@list @t5 @t3 @t1)) % 16.73/16.98 (define @t10 () (@list @t5)) % 16.73/16.98 (define @t11 () (tptp.additive_inverse @t5)) % 16.73/16.98 (define @t12 () (@list @t5 @t3)) % 16.73/16.98 (define @t13 () (tptp.multiply @t5 @t3)) % 16.73/16.98 (define @t14 () (tptp.multiply @t3 @t1)) % 16.73/16.98 (define @t15 () (tptp.equalish @t5 tptp.additive_identity)) % 16.73/16.98 (define @t16 () (tptp.multiplicative_inverse @t5)) % 16.73/16.98 (define @t17 () (tptp.multiply @t5 @t1)) % 16.73/16.98 (define @t18 () (@list @t5 @t1 @t3)) % 16.73/16.98 (define @t19 () (tptp.defined tptp.additive_identity)) % 16.73/16.98 (define @t20 () (tptp.less_or_equal @t3 @t5)) % 16.73/16.98 (define @t21 () (tptp.less_or_equal @t5 @t3)) % 16.73/16.98 (define @t22 () (not @t21)) % 16.73/16.98 (define @t23 () (tptp.equalish @t5 @t3)) % 16.73/16.98 (define @t24 () (tptp.less_or_equal @t3 @t1)) % 16.73/16.98 (define @t25 () (tptp.less_or_equal @t5 @t1)) % 16.73/16.98 (define @t26 () (tptp.add @t5 @t1)) % 16.73/16.98 (define @t27 () (not @t23)) % 16.73/16.98 (define @t28 () (forall (@list @t3 @t1 @t5) (or @t24 (not @t25) @t27))) % 16.73/16.98 (define @t29 () (tptp.defined tptp.b)) % 16.73/16.98 (define @t30 () (tptp.defined tptp.c)) % 16.73/16.98 (define @t31 () (tptp.add tptp.a tptp.b)) % 16.73/16.98 (define @t32 () (tptp.equalish @t31 tptp.c)) % 16.73/16.98 (define @t33 () (tptp.less_or_equal tptp.additive_identity tptp.a)) % 16.73/16.98 (define @t34 () (tptp.less_or_equal tptp.additive_identity tptp.b)) % 16.73/16.98 (define @t35 () (tptp.less_or_equal tptp.additive_identity tptp.c)) % 16.73/16.98 (define @t36 () (not @t33)) % 16.73/16.98 (define @t37 () (not @t29)) % 16.73/16.98 (define @t38 () (tptp.add tptp.additive_identity tptp.b)) % 16.73/16.98 (define @t39 () (tptp.less_or_equal @t38 @t31)) % 16.73/16.98 (define @t40 () (or @t39 @t37 @t36)) % 16.73/16.98 (define @t41 () (@list false false false)) % 16.73/16.98 (define @t42 () (not @t32)) % 16.73/16.98 (define @t43 () (tptp.equalish tptp.c @t31)) % 16.73/16.98 (define @t44 () (or @t43 @t42)) % 16.73/16.98 (define @t45 () (@list false false)) % 16.73/16.98 (define @t46 () (not @t30)) % 16.73/16.98 (define @t47 () (not @t19)) % 16.73/16.98 (define @t48 () (tptp.less_or_equal tptp.c tptp.additive_identity)) % 16.73/16.98 (define @t49 () (or @t35 @t48 @t47 @t46)) % 16.73/16.98 (define @t50 () (not @t43)) % 16.73/16.98 (define @t51 () (not @t48)) % 16.73/16.98 (define @t52 () (tptp.less_or_equal @t31 tptp.additive_identity)) % 16.73/16.98 (define @t53 () (or @t52 @t51 @t50)) % 16.73/16.98 (define @t54 () (tptp.less_or_equal tptp.c tptp.c)) % 16.73/16.98 (define @t55 () (or @t54 @t54 @t46 @t46)) % 16.73/16.98 (define @t56 () (tptp.equalish tptp.c tptp.additive_identity)) % 16.73/16.98 (define @t57 () (not @t56)) % 16.73/16.98 (define @t58 () (not @t54)) % 16.73/16.98 (define @t59 () (or @t35 @t58 @t57)) % 16.73/16.98 (define @t60 () (@list true false false)) % 16.73/16.98 (define @t61 () (tptp.equalish tptp.additive_identity tptp.c)) % 16.73/16.98 (define @t62 () (not @t61)) % 16.73/16.98 (define @t63 () (or @t56 @t62)) % 16.73/16.98 (define @t64 () (@list true false)) % 16.73/16.98 (define @t65 () (tptp.equalish tptp.additive_identity @t31)) % 16.73/16.98 (define @t66 () (not @t65)) % 16.73/16.98 (define @t67 () (or @t61 @t66 @t42)) % 16.73/16.98 (define @t68 () (@list false true false)) % 16.73/16.98 (define @t69 () (not @t52)) % 16.73/16.98 (define @t70 () (tptp.less_or_equal tptp.additive_identity @t31)) % 16.73/16.98 (define @t71 () (not @t70)) % 16.73/16.98 (define @t72 () (or @t65 @t71 @t69)) % 16.73/16.98 (define @t73 () (tptp.less_or_equal tptp.b @t31)) % 16.73/16.98 (define @t74 () (not @t73)) % 16.73/16.98 (define @t75 () (not @t34)) % 16.73/16.98 (define @t76 () (or @t70 @t75 @t74)) % 16.73/16.98 (define @t77 () (tptp.equalish @t38 tptp.b)) % 16.73/16.98 (define @t78 () (or @t77 @t37)) % 16.73/16.98 (define @t79 () (not @t77)) % 16.73/16.98 (define @t80 () (not @t39)) % 16.73/16.98 (define @t81 () (or @t73 @t80 @t79)) % 16.73/16.98 (define @t82 () (not @t81)) % 16.73/16.98 (assume @p1 (forall @t9 (or (tptp.equalish (tptp.add @t5 @t8) (tptp.add @t7 @t1)) @t6 @t4 @t2))) % 16.73/16.98 (assume @p2 (forall @t10 (or (tptp.equalish (tptp.add tptp.additive_identity @t5) @t5) @t6))) % 16.73/16.98 (assume @p3 (forall @t10 (or (tptp.equalish (tptp.add @t5 @t11) tptp.additive_identity) @t6))) % 16.73/16.98 (assume @p4 (forall @t12 (or (tptp.equalish @t7 (tptp.add @t3 @t5)) @t6 @t4))) % 16.73/16.98 (assume @p5 (forall @t9 (or (tptp.equalish (tptp.multiply @t5 @t14) (tptp.multiply @t13 @t1)) @t6 @t4 @t2))) % 16.73/16.98 (assume @p6 (forall @t10 (or (tptp.equalish (tptp.multiply tptp.multiplicative_identity @t5) @t5) @t6))) % 16.73/16.98 (assume @p7 (forall @t10 (or (tptp.equalish (tptp.multiply @t5 @t16) tptp.multiplicative_identity) @t6 @t15))) % 16.73/16.98 (assume @p8 (forall @t12 (or (tptp.equalish @t13 (tptp.multiply @t3 @t5)) @t6 @t4))) % 16.73/16.98 (assume @p9 (forall @t18 (or (tptp.equalish (tptp.add @t17 @t14) (tptp.multiply @t7 @t1)) @t6 @t4 @t2))) % 16.73/16.98 (assume @p10 (forall @t12 (or (tptp.defined @t7) @t6 @t4))) % 16.73/16.98 (assume @p11 @t19) % 16.73/16.98 (assume @p12 (forall @t10 (or (tptp.defined @t11) @t6))) % 16.73/16.98 (assume @p13 (forall @t12 (or (tptp.defined @t13) @t6 @t4))) % 16.73/16.98 (assume @p14 (tptp.defined tptp.multiplicative_identity)) % 16.73/16.98 (assume @p15 (forall @t10 (or (tptp.defined @t16) @t6 @t15))) % 16.73/16.98 (assume @p16 (forall @t12 (or @t23 @t22 (not @t20)))) % 16.73/16.98 (assume @p17 (forall @t18 (or @t25 @t22 (not @t24)))) % 16.73/16.98 (assume @p18 (forall @t12 (or @t21 @t20 @t6 @t4))) % 16.73/16.98 (assume @p19 (forall @t18 (or (tptp.less_or_equal @t26 @t8) @t2 @t22))) % 16.73/16.98 (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))))) % 16.73/16.98 (assume @p21 (forall @t10 (or (tptp.equalish @t5 @t5) @t6))) % 16.73/16.98 (assume @p22 (forall @t12 (or @t23 (not (tptp.equalish @t3 @t5))))) % 16.73/16.98 (assume @p23 (forall @t18 (or (tptp.equalish @t5 @t1) @t27 (not (tptp.equalish @t3 @t1))))) % 16.73/16.98 (assume @p24 (forall @t18 (or (tptp.equalish @t26 @t8) @t2 @t27))) % 16.73/16.98 (assume @p25 (forall @t18 (or (tptp.equalish @t17 @t14) @t2 @t27))) % 16.73/16.98 (assume @p26 @t28) % 16.73/16.98 (assume @p27 (not (tptp.equalish tptp.additive_identity tptp.multiplicative_identity))) % 16.73/16.98 (assume @p28 (tptp.defined tptp.a)) % 16.73/16.98 (assume @p29 @t29) % 16.73/16.98 (assume @p30 @t30) % 16.73/16.98 (assume @p31 @t32) % 16.73/16.98 (assume @p32 @t33) % 16.73/16.98 (assume @p33 @t34) % 16.73/16.98 (assume @p34 (not @t35)) % 16.73/16.98 (step @p35 :rule instantiate :premises (@p19) :args ((@list tptp.additive_identity tptp.b tptp.a))) % 16.73/16.98 (step @p36 :rule cnf_or_pos :args (@t40)) % 16.73/16.98 (step @p37 :rule reordering :premises (@p36) :args ((or @t37 @t36 @t39 (not @t40)))) % 16.73/16.98 (step @p38 :rule chain_m_resolution :premises (@p37 @p29 @p32 @p35) :args (@t39 @t41 (@list @t29 @t33 @t40))) % 16.73/16.98 (step @p39 :rule instantiate :premises (@p17) :args ((@list tptp.additive_identity @t31 tptp.b))) % 16.73/16.98 (step @p40 :rule instantiate :premises (@p16) :args ((@list tptp.additive_identity @t31))) % 16.73/16.98 (step @p41 :rule instantiate :premises (@p26) :args ((@list @t31 tptp.additive_identity tptp.c))) % 16.73/16.98 (step @p42 :rule instantiate :premises (@p22) :args ((@list tptp.c @t31))) % 16.73/16.98 (step @p43 :rule cnf_or_pos :args (@t44)) % 16.73/16.98 (step @p44 :rule reordering :premises (@p43) :args ((or @t42 @t43 (not @t44)))) % 16.73/16.98 (step @p45 :rule chain_m_resolution :premises (@p44 @p31 @p42) :args (@t43 @t45 (@list @t32 @t44))) % 16.73/16.98 (step @p46 :rule instantiate :premises (@p18) :args ((@list tptp.additive_identity tptp.c))) % 16.73/16.98 (step @p47 :rule cnf_or_pos :args (@t49)) % 16.73/16.98 (step @p48 :rule reordering :premises (@p47) :args ((or @t35 @t47 @t46 @t48 (not @t49)))) % 16.73/16.98 (step @p49 :rule chain_m_resolution :premises (@p48 @p34 @p11 @p30 @p46) :args (@t48 (@list true false false false) (@list @t35 @t19 @t30 @t49))) % 16.73/16.98 (step @p50 :rule cnf_or_pos :args (@t53)) % 16.73/16.98 (step @p51 :rule reordering :premises (@p50) :args ((or @t51 @t52 @t50 (not @t53)))) % 16.73/16.98 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p45 @p41) :args (@t52 @t41 (@list @t48 @t43 @t53))) % 16.73/16.98 (step @p53 :rule instantiate :premises (@p23) :args ((@list tptp.additive_identity tptp.c @t31))) % 16.73/16.98 (step @p54 :rule instantiate :premises (@p22) :args ((@list tptp.c tptp.additive_identity))) % 16.73/16.98 (step @p55 :rule instantiate :premises (@p26) :args ((@list tptp.additive_identity tptp.c tptp.c))) % 16.73/16.98 (step @p56 :rule instantiate :premises (@p18) :args ((@list tptp.c tptp.c))) % 16.73/16.98 (step @p57 :rule cnf_or_pos :args (@t55)) % 16.73/16.98 (step @p58 :rule factoring :premises (@p57)) % 16.73/16.98 (step @p59 :rule reordering :premises (@p58) :args ((or @t46 @t54 (not @t55)))) % 16.73/16.98 (step @p60 :rule chain_m_resolution :premises (@p59 @p30 @p56) :args (@t54 @t45 (@list @t30 @t55))) % 16.73/16.98 (step @p61 :rule cnf_or_pos :args (@t59)) % 16.73/16.98 (step @p62 :rule reordering :premises (@p61) :args ((or @t35 @t57 @t58 (not @t59)))) % 16.73/16.98 (step @p63 :rule chain_m_resolution :premises (@p62 @p34 @p60 @p55) :args (@t57 @t60 (@list @t35 @t54 @t59))) % 16.73/16.98 (step @p64 :rule cnf_or_pos :args (@t63)) % 16.73/16.98 (step @p65 :rule reordering :premises (@p64) :args ((or @t56 @t62 (not @t63)))) % 16.73/16.98 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p54) :args (@t62 @t64 (@list @t56 @t63))) % 16.73/16.98 (step @p67 :rule cnf_or_pos :args (@t67)) % 16.73/16.98 (step @p68 :rule reordering :premises (@p67) :args ((or @t42 @t61 @t66 (not @t67)))) % 16.73/16.98 (step @p69 :rule chain_m_resolution :premises (@p68 @p31 @p66 @p53) :args (@t66 @t68 (@list @t32 @t61 @t67))) % 16.73/16.98 (step @p70 :rule cnf_or_pos :args (@t72)) % 16.73/16.98 (step @p71 :rule reordering :premises (@p70) :args ((or @t71 @t65 @t69 (not @t72)))) % 16.73/16.98 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p52 @p40) :args (@t71 @t60 (@list @t65 @t52 @t72))) % 16.73/16.98 (step @p73 :rule cnf_or_pos :args (@t76)) % 16.73/16.98 (step @p74 :rule reordering :premises (@p73) :args ((or @t75 @t70 @t74 (not @t76)))) % 16.73/16.98 (step @p75 :rule chain_m_resolution :premises (@p74 @p33 @p72 @p39) :args (@t74 @t68 (@list @t34 @t70 @t76))) % 16.73/16.98 (step @p76 :rule instantiate :premises (@p2) :args ((@list tptp.b))) % 16.73/16.98 (step @p77 :rule cnf_or_pos :args (@t78)) % 16.73/16.98 (step @p78 :rule reordering :premises (@p77) :args ((or @t37 @t77 (not @t78)))) % 16.73/16.98 (step @p79 :rule chain_m_resolution :premises (@p78 @p29 @p76) :args (@t77 @t45 (@list @t29 @t78))) % 16.73/16.98 (step @p80 :rule cnf_or_pos :args (@t81)) % 16.73/16.98 (step @p81 :rule reordering :premises (@p80) :args ((or @t79 @t73 @t80 @t82))) % 16.73/16.98 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p75 @p38) :args (@t82 @t68 (@list @t77 @t73 @t39))) % 16.73/16.98 (assume-push @p89 @t28) % 16.73/16.98 (step @p84 :rule instantiate :premises (@p26) :args ((@list tptp.b @t31 @t38))) % 16.73/16.98 (step-pop @p90 :rule scope :premises (@p84)) % 16.73/16.98 (step @p85 :rule process_scope :premises (@p90) :args (@t81)) % 16.73/16.98 (step @p87 :rule implies_elim :premises (@p85)) % 16.73/16.98 (step @p88 false :rule chain_m_resolution :premises (@p87 @p82 @p26) :args (false @t64 (@list @t81 @t28))) % 16.73/16.98 ) % 16.73/16.98 % SZS output end Proof % 16.73/16.98 % cvc5 exiting %------------------------------------------------------------------------------