%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : FLD013-3 : 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 : n029.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 0.53s 0.71s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : FLD013-3 : 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 % 0.17/0.34 % Computer : n029.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 22:34:17 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.71 % SZS status Unsatisfiable % 0.53/0.71 % SZS output start Proof % 0.53/0.71 ( % 0.53/0.71 (declare-sort $$unsorted 0) % 0.53/0.71 (declare-const tptp.d $$unsorted) % 0.53/0.71 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 0.53/0.71 (declare-const tptp.defined (-> $$unsorted Bool)) % 0.53/0.71 (declare-const tptp.b $$unsorted) % 0.53/0.71 (declare-const tptp.additive_identity $$unsorted) % 0.53/0.71 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.71 (declare-const tptp.a $$unsorted) % 0.53/0.71 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.71 (declare-const tptp.multiplicative_identity $$unsorted) % 0.53/0.71 (declare-const tptp.multiplicative_inverse (-> $$unsorted $$unsorted)) % 0.53/0.71 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.71 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.71 (declare-const tptp.c $$unsorted) % 0.53/0.71 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 0.53/0.71 (define @t1 () (@var "W" $$unsorted)) % 0.53/0.71 (define @t2 () (@var "Z" $$unsorted)) % 0.53/0.71 (define @t3 () (@var "U" $$unsorted)) % 0.53/0.71 (define @t4 () (tptp.sum @t3 @t2 @t1)) % 0.53/0.71 (define @t5 () (@var "V" $$unsorted)) % 0.53/0.71 (define @t6 () (@var "Y" $$unsorted)) % 0.53/0.71 (define @t7 () (not (tptp.sum @t6 @t2 @t5))) % 0.53/0.71 (define @t8 () (@var "X" $$unsorted)) % 0.53/0.71 (define @t9 () (not (tptp.sum @t8 @t6 @t3))) % 0.53/0.71 (define @t10 () (tptp.sum @t8 @t5 @t1)) % 0.53/0.71 (define @t11 () (@list @t8 @t5 @t1 @t6 @t3 @t2)) % 0.53/0.71 (define @t12 () (forall @t11 (or @t10 @t9 @t7 (not @t4)))) % 0.53/0.71 (define @t13 () (@list @t3 @t2 @t1 @t8 @t6 @t5)) % 0.53/0.71 (define @t14 () (not (tptp.defined @t8))) % 0.53/0.71 (define @t15 () (@list @t8)) % 0.53/0.71 (define @t16 () (tptp.additive_inverse @t8)) % 0.53/0.71 (define @t17 () (@list @t6 @t8 @t2)) % 0.53/0.71 (define @t18 () (tptp.product @t3 @t2 @t1)) % 0.53/0.71 (define @t19 () (not (tptp.product @t6 @t2 @t5))) % 0.53/0.71 (define @t20 () (not (tptp.product @t8 @t6 @t3))) % 0.53/0.71 (define @t21 () (tptp.product @t8 @t5 @t1)) % 0.53/0.71 (define @t22 () (tptp.sum tptp.additive_identity @t8 tptp.additive_identity)) % 0.53/0.71 (define @t23 () (tptp.multiplicative_inverse @t8)) % 0.53/0.71 (define @t24 () (not (tptp.product @t8 @t6 @t2))) % 0.53/0.71 (define @t25 () (@var "D" $$unsorted)) % 0.53/0.71 (define @t26 () (not (tptp.product @t6 @t2 @t25))) % 0.53/0.71 (define @t27 () (@var "C" $$unsorted)) % 0.53/0.71 (define @t28 () (not (tptp.product @t8 @t2 @t27))) % 0.53/0.71 (define @t29 () (@var "B" $$unsorted)) % 0.53/0.71 (define @t30 () (@var "A" $$unsorted)) % 0.53/0.71 (define @t31 () (tptp.product @t30 @t2 @t29)) % 0.53/0.71 (define @t32 () (not (tptp.sum @t8 @t6 @t30))) % 0.53/0.71 (define @t33 () (tptp.sum @t27 @t25 @t29)) % 0.53/0.71 (define @t34 () (not (tptp.defined @t6))) % 0.53/0.71 (define @t35 () (tptp.add @t8 @t6)) % 0.53/0.71 (define @t36 () (@list @t8 @t6)) % 0.53/0.71 (define @t37 () (tptp.multiply @t8 @t6)) % 0.53/0.71 (define @t38 () (tptp.less_or_equal @t6 @t8)) % 0.53/0.71 (define @t39 () (tptp.less_or_equal @t8 @t6)) % 0.53/0.71 (define @t40 () (not @t39)) % 0.53/0.71 (define @t41 () (tptp.defined tptp.b)) % 0.53/0.71 (define @t42 () (tptp.defined tptp.c)) % 0.53/0.71 (define @t43 () (tptp.defined tptp.d)) % 0.53/0.71 (define @t44 () (tptp.sum tptp.additive_identity tptp.a tptp.b)) % 0.53/0.71 (define @t45 () (tptp.sum tptp.additive_identity tptp.c tptp.d)) % 0.53/0.71 (define @t46 () (tptp.add tptp.d tptp.b)) % 0.53/0.71 (define @t47 () (tptp.sum tptp.a tptp.c @t46)) % 0.53/0.71 (define @t48 () (not @t42)) % 0.53/0.71 (define @t49 () (tptp.sum tptp.additive_identity tptp.c tptp.c)) % 0.53/0.71 (define @t50 () (or @t49 @t48)) % 0.53/0.71 (define @t51 () (@list false false)) % 0.53/0.71 (define @t52 () (not @t49)) % 0.53/0.71 (define @t53 () (tptp.sum tptp.c tptp.additive_identity tptp.c)) % 0.53/0.71 (define @t54 () (or @t53 @t52)) % 0.53/0.71 (define @t55 () (tptp.sum tptp.c tptp.a @t46)) % 0.53/0.71 (define @t56 () (not @t55)) % 0.53/0.71 (define @t57 () (or @t47 @t56)) % 0.53/0.71 (define @t58 () (@list true false)) % 0.53/0.71 (define @t59 () (tptp.sum tptp.c tptp.b @t46)) % 0.53/0.71 (define @t60 () (not @t59)) % 0.53/0.71 (define @t61 () (not @t44)) % 0.53/0.71 (define @t62 () (not @t53)) % 0.53/0.71 (define @t63 () (or @t55 @t62 @t61 @t60)) % 0.53/0.71 (define @t64 () (not @t41)) % 0.53/0.71 (define @t65 () (not @t43)) % 0.53/0.71 (define @t66 () (tptp.sum tptp.d tptp.b @t46)) % 0.53/0.71 (define @t67 () (or @t66 @t65 @t64)) % 0.53/0.71 (define @t68 () (not @t45)) % 0.53/0.71 (define @t69 () (tptp.sum tptp.c tptp.additive_identity tptp.d)) % 0.53/0.71 (define @t70 () (or @t69 @t68)) % 0.53/0.71 (define @t71 () (tptp.sum tptp.additive_identity tptp.b tptp.b)) % 0.53/0.71 (define @t72 () (or @t71 @t64)) % 0.53/0.71 (define @t73 () (not @t66)) % 0.53/0.71 (define @t74 () (not @t71)) % 0.53/0.71 (define @t75 () (not @t69)) % 0.53/0.71 (define @t76 () (or @t59 @t75 @t74 @t73)) % 0.53/0.71 (define @t77 () (not @t76)) % 0.53/0.71 (assume @p1 @t12) % 0.53/0.71 (assume @p2 (forall @t13 (or @t4 @t9 @t7 (not @t10)))) % 0.53/0.71 (assume @p3 (forall @t15 (or (tptp.sum tptp.additive_identity @t8 @t8) @t14))) % 0.53/0.71 (assume @p4 (forall @t15 (or (tptp.sum @t16 @t8 tptp.additive_identity) @t14))) % 0.53/0.71 (assume @p5 (forall @t17 (or (tptp.sum @t6 @t8 @t2) (not (tptp.sum @t8 @t6 @t2))))) % 0.53/0.71 (assume @p6 (forall @t11 (or @t21 @t20 @t19 (not @t18)))) % 0.53/0.71 (assume @p7 (forall @t13 (or @t18 @t20 @t19 (not @t21)))) % 0.53/0.71 (assume @p8 (forall @t15 (or (tptp.product tptp.multiplicative_identity @t8 @t8) @t14))) % 0.53/0.71 (assume @p9 (forall @t15 (or (tptp.product @t23 @t8 tptp.multiplicative_identity) @t22 @t14))) % 0.53/0.71 (assume @p10 (forall @t17 (or (tptp.product @t6 @t8 @t2) @t24))) % 0.53/0.71 (assume @p11 (forall (@list @t27 @t25 @t29 @t8 @t6 @t30 @t2) (or @t33 @t32 (not @t31) @t28 @t26))) % 0.53/0.71 (assume @p12 (forall (@list @t30 @t2 @t29 @t8 @t6 @t27 @t25) (or @t31 @t32 @t28 @t26 (not @t33)))) % 0.53/0.71 (assume @p13 (forall @t36 (or (tptp.defined @t35) @t14 @t34))) % 0.53/0.71 (assume @p14 (tptp.defined tptp.additive_identity)) % 0.53/0.71 (assume @p15 (forall @t15 (or (tptp.defined @t16) @t14))) % 0.53/0.71 (assume @p16 (forall @t36 (or (tptp.defined @t37) @t14 @t34))) % 0.53/0.71 (assume @p17 (tptp.defined tptp.multiplicative_identity)) % 0.53/0.71 (assume @p18 (forall @t15 (or (tptp.defined @t23) @t14 @t22))) % 0.53/0.71 (assume @p19 (forall @t36 (or (tptp.sum @t8 @t6 @t35) @t14 @t34))) % 0.53/0.71 (assume @p20 (forall @t36 (or (tptp.product @t8 @t6 @t37) @t14 @t34))) % 0.53/0.71 (assume @p21 (forall @t36 (or (tptp.sum tptp.additive_identity @t8 @t6) @t40 (not @t38)))) % 0.53/0.71 (assume @p22 (forall (@list @t8 @t2 @t6) (or (tptp.less_or_equal @t8 @t2) @t40 (not (tptp.less_or_equal @t6 @t2))))) % 0.53/0.71 (assume @p23 (forall @t36 (or @t39 @t38 @t14 @t34))) % 0.53/0.71 (assume @p24 (forall (@list @t3 @t5 @t8 @t6 @t2) (or (tptp.less_or_equal @t3 @t5) @t40 (not (tptp.sum @t8 @t2 @t3)) @t7))) % 0.53/0.71 (assume @p25 (forall (@list @t2 @t8 @t6) (or (tptp.less_or_equal tptp.additive_identity @t2) (not (tptp.less_or_equal tptp.additive_identity @t8)) (not (tptp.less_or_equal tptp.additive_identity @t6)) @t24))) % 0.53/0.71 (assume @p26 (not (tptp.sum tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity))) % 0.53/0.71 (assume @p27 (tptp.defined tptp.a)) % 0.53/0.71 (assume @p28 @t41) % 0.53/0.71 (assume @p29 @t42) % 0.53/0.71 (assume @p30 @t43) % 0.53/0.71 (assume @p31 @t44) % 0.53/0.71 (assume @p32 @t45) % 0.53/0.71 (assume @p33 (not @t47)) % 0.53/0.71 (step @p34 :rule instantiate :premises (@p2) :args ((@list tptp.c tptp.a @t46 tptp.c tptp.additive_identity tptp.b))) % 0.53/0.71 (step @p35 :rule instantiate :premises (@p5) :args ((@list tptp.c tptp.additive_identity tptp.c))) % 0.53/0.71 (step @p36 :rule instantiate :premises (@p3) :args ((@list tptp.c))) % 0.53/0.71 (step @p37 :rule cnf_or_pos :args (@t50)) % 0.53/0.71 (step @p38 :rule reordering :premises (@p37) :args ((or @t48 @t49 (not @t50)))) % 0.53/0.71 (step @p39 :rule chain_m_resolution :premises (@p38 @p29 @p36) :args (@t49 @t51 (@list @t42 @t50))) % 0.53/0.71 (step @p40 :rule cnf_or_pos :args (@t54)) % 0.53/0.71 (step @p41 :rule reordering :premises (@p40) :args ((or @t52 @t53 (not @t54)))) % 0.53/0.71 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p35) :args (@t53 @t51 (@list @t49 @t54))) % 0.53/0.71 (step @p43 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.c @t46))) % 0.53/0.71 (step @p44 :rule cnf_or_pos :args (@t57)) % 0.53/0.71 (step @p45 :rule reordering :premises (@p44) :args ((or @t47 @t56 (not @t57)))) % 0.53/0.71 (step @p46 :rule chain_m_resolution :premises (@p45 @p33 @p43) :args (@t56 @t58 (@list @t47 @t57))) % 0.53/0.71 (step @p47 :rule cnf_or_pos :args (@t63)) % 0.53/0.71 (step @p48 :rule reordering :premises (@p47) :args ((or @t61 @t55 @t62 @t60 (not @t63)))) % 0.53/0.71 (step @p49 :rule chain_m_resolution :premises (@p48 @p31 @p46 @p42 @p34) :args (@t60 (@list false true false false) (@list @t44 @t55 @t53 @t63))) % 0.53/0.71 (step @p50 :rule instantiate :premises (@p19) :args ((@list tptp.d tptp.b))) % 0.53/0.71 (step @p51 :rule cnf_or_pos :args (@t67)) % 0.53/0.71 (step @p52 :rule reordering :premises (@p51) :args ((or @t64 @t65 @t66 (not @t67)))) % 0.53/0.71 (step @p53 :rule chain_m_resolution :premises (@p52 @p28 @p30 @p50) :args (@t66 (@list false false false) (@list @t41 @t43 @t67))) % 0.53/0.71 (step @p54 :rule instantiate :premises (@p5) :args ((@list tptp.c tptp.additive_identity tptp.d))) % 0.53/0.71 (step @p55 :rule cnf_or_pos :args (@t70)) % 0.53/0.71 (step @p56 :rule reordering :premises (@p55) :args ((or @t68 @t69 (not @t70)))) % 0.53/0.71 (step @p57 :rule chain_m_resolution :premises (@p56 @p32 @p54) :args (@t69 @t51 (@list @t45 @t70))) % 0.53/0.71 (step @p58 :rule instantiate :premises (@p3) :args ((@list tptp.b))) % 0.53/0.71 (step @p59 :rule cnf_or_pos :args (@t72)) % 0.53/0.71 (step @p60 :rule reordering :premises (@p59) :args ((or @t64 @t71 (not @t72)))) % 0.53/0.71 (step @p61 :rule chain_m_resolution :premises (@p60 @p28 @p58) :args (@t71 @t51 (@list @t41 @t72))) % 0.53/0.71 (step @p62 :rule cnf_or_pos :args (@t76)) % 0.53/0.71 (step @p63 :rule reordering :premises (@p62) :args ((or @t74 @t75 @t73 @t59 @t77))) % 0.53/0.71 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p57 @p53 @p49) :args (@t77 (@list false false false true) (@list @t71 @t69 @t66 @t59))) % 0.53/0.71 (assume-push @p71 @t12) % 0.53/0.71 (step @p66 :rule instantiate :premises (@p1) :args ((@list tptp.c tptp.b @t46 tptp.additive_identity tptp.d tptp.b))) % 0.53/0.71 (step-pop @p72 :rule scope :premises (@p66)) % 0.53/0.71 (step @p67 :rule process_scope :premises (@p72) :args (@t76)) % 0.53/0.71 (step @p69 :rule implies_elim :premises (@p67)) % 0.53/0.71 (step @p70 false :rule chain_m_resolution :premises (@p69 @p64 @p1) :args (false @t58 (@list @t76 @t12))) % 0.53/0.71 ) % 0.53/0.71 % SZS output end Proof % 0.53/0.71 % cvc5 exiting %------------------------------------------------------------------------------