%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : FLD068-3 : TPTP v9.2.1. Bugfixed v2.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:15:35 AM UTC 2026 % Result : Unsatisfiable 0.62s 0.87s % Output : Proof 0.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : FLD068-3 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n009.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 22:47:29 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.62/0.87 % SZS status Unsatisfiable % 0.62/0.87 % SZS output start Proof % 0.62/0.87 ( % 0.62/0.87 (declare-sort $$unsorted 0) % 0.62/0.87 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 0.62/0.87 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.87 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.87 (declare-const tptp.multiplicative_inverse (-> $$unsorted $$unsorted)) % 0.62/0.87 (declare-const tptp.multiplicative_identity $$unsorted) % 0.62/0.87 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.62/0.87 (declare-const tptp.a $$unsorted) % 0.62/0.87 (declare-const tptp.additive_identity $$unsorted) % 0.62/0.87 (declare-const tptp.b $$unsorted) % 0.62/0.87 (declare-const tptp.defined (-> $$unsorted Bool)) % 0.62/0.87 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 0.62/0.87 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.62/0.87 (define @t1 () (@var "W" $$unsorted)) % 0.62/0.87 (define @t2 () (@var "Z" $$unsorted)) % 0.62/0.87 (define @t3 () (@var "U" $$unsorted)) % 0.62/0.87 (define @t4 () (tptp.sum @t3 @t2 @t1)) % 0.62/0.87 (define @t5 () (@var "V" $$unsorted)) % 0.62/0.87 (define @t6 () (@var "Y" $$unsorted)) % 0.62/0.87 (define @t7 () (not (tptp.sum @t6 @t2 @t5))) % 0.62/0.87 (define @t8 () (@var "X" $$unsorted)) % 0.62/0.87 (define @t9 () (not (tptp.sum @t8 @t6 @t3))) % 0.62/0.87 (define @t10 () (tptp.sum @t8 @t5 @t1)) % 0.62/0.87 (define @t11 () (@list @t8 @t5 @t1 @t6 @t3 @t2)) % 0.62/0.87 (define @t12 () (@list @t3 @t2 @t1 @t8 @t6 @t5)) % 0.62/0.87 (define @t13 () (not (tptp.defined @t8))) % 0.62/0.87 (define @t14 () (@list @t8)) % 0.62/0.87 (define @t15 () (tptp.additive_inverse @t8)) % 0.62/0.87 (define @t16 () (@list @t6 @t8 @t2)) % 0.62/0.87 (define @t17 () (tptp.product @t3 @t2 @t1)) % 0.62/0.87 (define @t18 () (not (tptp.product @t6 @t2 @t5))) % 0.62/0.87 (define @t19 () (not (tptp.product @t8 @t6 @t3))) % 0.62/0.87 (define @t20 () (tptp.product @t8 @t5 @t1)) % 0.62/0.87 (define @t21 () (tptp.sum tptp.additive_identity @t8 tptp.additive_identity)) % 0.62/0.87 (define @t22 () (tptp.multiplicative_inverse @t8)) % 0.62/0.87 (define @t23 () (not (tptp.product @t8 @t6 @t2))) % 0.62/0.87 (define @t24 () (@var "D" $$unsorted)) % 0.62/0.87 (define @t25 () (not (tptp.product @t6 @t2 @t24))) % 0.62/0.87 (define @t26 () (@var "C" $$unsorted)) % 0.62/0.87 (define @t27 () (not (tptp.product @t8 @t2 @t26))) % 0.62/0.87 (define @t28 () (@var "B" $$unsorted)) % 0.62/0.87 (define @t29 () (@var "A" $$unsorted)) % 0.62/0.87 (define @t30 () (tptp.product @t29 @t2 @t28)) % 0.62/0.87 (define @t31 () (not (tptp.sum @t8 @t6 @t29))) % 0.62/0.87 (define @t32 () (tptp.sum @t26 @t24 @t28)) % 0.62/0.87 (define @t33 () (not (tptp.defined @t6))) % 0.62/0.87 (define @t34 () (tptp.add @t8 @t6)) % 0.62/0.87 (define @t35 () (@list @t8 @t6)) % 0.62/0.87 (define @t36 () (tptp.defined tptp.additive_identity)) % 0.62/0.87 (define @t37 () (tptp.multiply @t8 @t6)) % 0.62/0.87 (define @t38 () (tptp.less_or_equal @t6 @t8)) % 0.62/0.87 (define @t39 () (tptp.less_or_equal @t8 @t6)) % 0.62/0.87 (define @t40 () (not @t39)) % 0.62/0.87 (define @t41 () (tptp.defined tptp.a)) % 0.62/0.87 (define @t42 () (tptp.defined tptp.b)) % 0.62/0.87 (define @t43 () (tptp.additive_inverse tptp.a)) % 0.62/0.87 (define @t44 () (tptp.add tptp.b @t43)) % 0.62/0.87 (define @t45 () (tptp.less_or_equal tptp.additive_identity @t44)) % 0.62/0.87 (define @t46 () (tptp.less_or_equal tptp.a tptp.b)) % 0.62/0.87 (define @t47 () (not @t42)) % 0.62/0.87 (define @t48 () (tptp.sum tptp.additive_identity tptp.b tptp.b)) % 0.62/0.87 (define @t49 () (or @t48 @t47)) % 0.62/0.87 (define @t50 () (@list false false)) % 0.62/0.87 (define @t51 () (not @t36)) % 0.62/0.87 (define @t52 () (tptp.less_or_equal tptp.additive_identity tptp.additive_identity)) % 0.62/0.87 (define @t53 () (or @t52 @t52 @t51 @t51)) % 0.62/0.87 (define @t54 () (@list tptp.a)) % 0.62/0.87 (define @t55 () (not @t41)) % 0.62/0.87 (define @t56 () (tptp.defined @t43)) % 0.62/0.87 (define @t57 () (or @t56 @t55)) % 0.62/0.87 (define @t58 () (not @t56)) % 0.62/0.87 (define @t59 () (tptp.sum tptp.b @t43 @t44)) % 0.62/0.87 (define @t60 () (or @t59 @t47 @t58)) % 0.62/0.87 (define @t61 () (@list false false false)) % 0.62/0.87 (define @t62 () (not @t59)) % 0.62/0.87 (define @t63 () (tptp.sum @t43 tptp.b @t44)) % 0.62/0.87 (define @t64 () (or @t63 @t62)) % 0.62/0.87 (define @t65 () (tptp.sum tptp.additive_identity @t43 @t43)) % 0.62/0.87 (define @t66 () (or @t65 @t58)) % 0.62/0.87 (define @t67 () (tptp.sum @t43 tptp.a tptp.additive_identity)) % 0.62/0.87 (define @t68 () (or @t67 @t55)) % 0.62/0.87 (define @t69 () (not @t67)) % 0.62/0.87 (define @t70 () (tptp.sum tptp.a @t43 tptp.additive_identity)) % 0.62/0.87 (define @t71 () (or @t70 @t69)) % 0.62/0.87 (define @t72 () (tptp.less_or_equal tptp.b tptp.a)) % 0.62/0.87 (define @t73 () (or @t46 @t72 @t55 @t47)) % 0.62/0.87 (define @t74 () (not @t70)) % 0.62/0.87 (define @t75 () (not @t72)) % 0.62/0.87 (define @t76 () (tptp.less_or_equal @t44 tptp.additive_identity)) % 0.62/0.87 (define @t77 () (or @t76 @t75 @t62 @t74)) % 0.62/0.87 (define @t78 () (@list false false false false)) % 0.62/0.87 (define @t79 () (not @t45)) % 0.62/0.87 (define @t80 () (not @t76)) % 0.62/0.87 (define @t81 () (tptp.sum tptp.additive_identity @t44 tptp.additive_identity)) % 0.62/0.87 (define @t82 () (or @t81 @t80 @t79)) % 0.62/0.87 (define @t83 () (not @t81)) % 0.62/0.87 (define @t84 () (not @t63)) % 0.62/0.87 (define @t85 () (not @t65)) % 0.62/0.87 (define @t86 () (tptp.sum @t43 tptp.b tptp.additive_identity)) % 0.62/0.87 (define @t87 () (or @t86 @t85 @t84 @t83)) % 0.62/0.87 (define @t88 () (tptp.sum tptp.additive_identity tptp.a tptp.a)) % 0.62/0.87 (define @t89 () (or @t88 @t55)) % 0.62/0.87 (define @t90 () (not @t88)) % 0.62/0.87 (define @t91 () (tptp.sum tptp.a tptp.additive_identity tptp.a)) % 0.62/0.87 (define @t92 () (or @t91 @t90)) % 0.62/0.87 (define @t93 () (not @t91)) % 0.62/0.87 (define @t94 () (not @t86)) % 0.62/0.87 (define @t95 () (tptp.sum tptp.additive_identity tptp.b tptp.a)) % 0.62/0.87 (define @t96 () (or @t95 @t74 @t94 @t93)) % 0.62/0.87 (define @t97 () (not @t48)) % 0.62/0.87 (define @t98 () (not @t95)) % 0.62/0.87 (define @t99 () (not @t52)) % 0.62/0.87 (define @t100 () (or @t46 @t99 @t98 @t97)) % 0.62/0.87 (assume @p1 (forall @t11 (or @t10 @t9 @t7 (not @t4)))) % 0.62/0.87 (assume @p2 (forall @t12 (or @t4 @t9 @t7 (not @t10)))) % 0.62/0.87 (assume @p3 (forall @t14 (or (tptp.sum tptp.additive_identity @t8 @t8) @t13))) % 0.62/0.87 (assume @p4 (forall @t14 (or (tptp.sum @t15 @t8 tptp.additive_identity) @t13))) % 0.62/0.87 (assume @p5 (forall @t16 (or (tptp.sum @t6 @t8 @t2) (not (tptp.sum @t8 @t6 @t2))))) % 0.62/0.87 (assume @p6 (forall @t11 (or @t20 @t19 @t18 (not @t17)))) % 0.62/0.87 (assume @p7 (forall @t12 (or @t17 @t19 @t18 (not @t20)))) % 0.62/0.87 (assume @p8 (forall @t14 (or (tptp.product tptp.multiplicative_identity @t8 @t8) @t13))) % 0.62/0.87 (assume @p9 (forall @t14 (or (tptp.product @t22 @t8 tptp.multiplicative_identity) @t21 @t13))) % 0.62/0.87 (assume @p10 (forall @t16 (or (tptp.product @t6 @t8 @t2) @t23))) % 0.62/0.87 (assume @p11 (forall (@list @t26 @t24 @t28 @t8 @t6 @t29 @t2) (or @t32 @t31 (not @t30) @t27 @t25))) % 0.62/0.87 (assume @p12 (forall (@list @t29 @t2 @t28 @t8 @t6 @t26 @t24) (or @t30 @t31 @t27 @t25 (not @t32)))) % 0.62/0.87 (assume @p13 (forall @t35 (or (tptp.defined @t34) @t13 @t33))) % 0.62/0.87 (assume @p14 @t36) % 0.62/0.87 (assume @p15 (forall @t14 (or (tptp.defined @t15) @t13))) % 0.62/0.87 (assume @p16 (forall @t35 (or (tptp.defined @t37) @t13 @t33))) % 0.62/0.87 (assume @p17 (tptp.defined tptp.multiplicative_identity)) % 0.62/0.87 (assume @p18 (forall @t14 (or (tptp.defined @t22) @t13 @t21))) % 0.62/0.87 (assume @p19 (forall @t35 (or (tptp.sum @t8 @t6 @t34) @t13 @t33))) % 0.62/0.87 (assume @p20 (forall @t35 (or (tptp.product @t8 @t6 @t37) @t13 @t33))) % 0.62/0.87 (assume @p21 (forall @t35 (or (tptp.sum tptp.additive_identity @t8 @t6) @t40 (not @t38)))) % 0.62/0.87 (assume @p22 (forall (@list @t8 @t2 @t6) (or (tptp.less_or_equal @t8 @t2) @t40 (not (tptp.less_or_equal @t6 @t2))))) % 0.62/0.87 (assume @p23 (forall @t35 (or @t39 @t38 @t13 @t33))) % 0.62/0.87 (assume @p24 (forall (@list @t3 @t5 @t8 @t6 @t2) (or (tptp.less_or_equal @t3 @t5) @t40 (not (tptp.sum @t8 @t2 @t3)) @t7))) % 0.62/0.87 (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)) @t23))) % 0.62/0.87 (assume @p26 (not (tptp.sum tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity))) % 0.62/0.87 (assume @p27 @t41) % 0.62/0.87 (assume @p28 @t42) % 0.62/0.87 (assume @p29 @t45) % 0.62/0.87 (assume @p30 (not @t46)) % 0.62/0.87 (step @p31 :rule instantiate :premises (@p3) :args ((@list tptp.b))) % 0.62/0.87 (step @p32 :rule cnf_or_pos :args (@t49)) % 0.62/0.87 (step @p33 :rule reordering :premises (@p32) :args ((or @t47 @t48 (not @t49)))) % 0.62/0.87 (step @p34 :rule chain_m_resolution :premises (@p33 @p28 @p31) :args (@t48 @t50 (@list @t42 @t49))) % 0.62/0.87 (step @p35 :rule instantiate :premises (@p23) :args ((@list tptp.additive_identity tptp.additive_identity))) % 0.62/0.87 (step @p36 :rule cnf_or_pos :args (@t53)) % 0.62/0.87 (step @p37 :rule factoring :premises (@p36)) % 0.62/0.87 (step @p38 :rule reordering :premises (@p37) :args ((or @t51 @t52 (not @t53)))) % 0.62/0.87 (step @p39 :rule chain_m_resolution :premises (@p38 @p14 @p35) :args (@t52 @t50 (@list @t36 @t53))) % 0.62/0.87 (step @p40 :rule instantiate :premises (@p24) :args ((@list tptp.a tptp.b tptp.additive_identity tptp.additive_identity tptp.b))) % 0.62/0.87 (step @p41 :rule instantiate :premises (@p2) :args ((@list tptp.additive_identity tptp.b tptp.a tptp.a @t43 tptp.additive_identity))) % 0.62/0.87 (step @p42 :rule instantiate :premises (@p2) :args ((@list @t43 tptp.b tptp.additive_identity tptp.additive_identity @t43 @t44))) % 0.62/0.87 (step @p43 :rule instantiate :premises (@p5) :args ((@list @t43 tptp.b @t44))) % 0.62/0.87 (step @p44 :rule instantiate :premises (@p19) :args ((@list tptp.b @t43))) % 0.62/0.87 (step @p45 :rule instantiate :premises (@p15) :args (@t54)) % 0.62/0.87 (step @p46 :rule cnf_or_pos :args (@t57)) % 0.62/0.87 (step @p47 :rule reordering :premises (@p46) :args ((or @t55 @t56 (not @t57)))) % 0.62/0.87 (step @p48 :rule chain_m_resolution :premises (@p47 @p27 @p45) :args (@t56 @t50 (@list @t41 @t57))) % 0.62/0.87 (step @p49 :rule cnf_or_pos :args (@t60)) % 0.62/0.87 (step @p50 :rule reordering :premises (@p49) :args ((or @t47 @t58 @t59 (not @t60)))) % 0.62/0.87 (step @p51 :rule chain_m_resolution :premises (@p50 @p28 @p48 @p44) :args (@t59 @t61 (@list @t42 @t56 @t60))) % 0.62/0.87 (step @p52 :rule cnf_or_pos :args (@t64)) % 0.62/0.87 (step @p53 :rule reordering :premises (@p52) :args ((or @t62 @t63 (not @t64)))) % 0.62/0.87 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p43) :args (@t63 @t50 (@list @t59 @t64))) % 0.62/0.87 (step @p55 :rule instantiate :premises (@p3) :args ((@list @t43))) % 0.62/0.87 (step @p56 :rule cnf_or_pos :args (@t66)) % 0.62/0.87 (step @p57 :rule reordering :premises (@p56) :args ((or @t58 @t65 (not @t66)))) % 0.62/0.87 (step @p58 :rule chain_m_resolution :premises (@p57 @p48 @p55) :args (@t65 @t50 (@list @t56 @t66))) % 0.62/0.87 (step @p59 :rule instantiate :premises (@p21) :args ((@list @t44 tptp.additive_identity))) % 0.62/0.87 (step @p60 :rule instantiate :premises (@p24) :args ((@list @t44 tptp.additive_identity tptp.b tptp.a @t43))) % 0.62/0.87 (step @p61 :rule instantiate :premises (@p5) :args ((@list tptp.a @t43 tptp.additive_identity))) % 0.62/0.87 (step @p62 :rule instantiate :premises (@p4) :args (@t54)) % 0.62/0.87 (step @p63 :rule cnf_or_pos :args (@t68)) % 0.62/0.87 (step @p64 :rule reordering :premises (@p63) :args ((or @t55 @t67 (not @t68)))) % 0.62/0.87 (step @p65 :rule chain_m_resolution :premises (@p64 @p27 @p62) :args (@t67 @t50 (@list @t41 @t68))) % 0.62/0.87 (step @p66 :rule cnf_or_pos :args (@t71)) % 0.62/0.87 (step @p67 :rule reordering :premises (@p66) :args ((or @t69 @t70 (not @t71)))) % 0.62/0.87 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p61) :args (@t70 @t50 (@list @t67 @t71))) % 0.62/0.87 (step @p69 :rule instantiate :premises (@p23) :args ((@list tptp.a tptp.b))) % 0.62/0.87 (step @p70 :rule cnf_or_pos :args (@t73)) % 0.62/0.87 (step @p71 :rule reordering :premises (@p70) :args ((or @t46 @t55 @t47 @t72 (not @t73)))) % 0.62/0.87 (step @p72 :rule chain_m_resolution :premises (@p71 @p30 @p27 @p28 @p69) :args (@t72 (@list true false false false) (@list @t46 @t41 @t42 @t73))) % 0.62/0.87 (step @p73 :rule cnf_or_pos :args (@t77)) % 0.62/0.87 (step @p74 :rule reordering :premises (@p73) :args ((or @t76 @t62 @t75 @t74 (not @t77)))) % 0.62/0.87 (step @p75 :rule chain_m_resolution :premises (@p74 @p51 @p72 @p68 @p60) :args (@t76 @t78 (@list @t59 @t72 @t70 @t77))) % 0.62/0.87 (step @p76 :rule cnf_or_pos :args (@t82)) % 0.62/0.87 (step @p77 :rule reordering :premises (@p76) :args ((or @t79 @t80 @t81 (not @t82)))) % 0.62/0.87 (step @p78 :rule chain_m_resolution :premises (@p77 @p29 @p75 @p59) :args (@t81 @t61 (@list @t45 @t76 @t82))) % 0.62/0.87 (step @p79 :rule cnf_or_pos :args (@t87)) % 0.62/0.87 (step @p80 :rule reordering :premises (@p79) :args ((or @t83 @t85 @t84 @t86 (not @t87)))) % 0.62/0.87 (step @p81 :rule chain_m_resolution :premises (@p80 @p78 @p58 @p54 @p42) :args (@t86 @t78 (@list @t81 @t65 @t63 @t87))) % 0.62/0.87 (step @p82 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.additive_identity tptp.a))) % 0.62/0.87 (step @p83 :rule instantiate :premises (@p3) :args (@t54)) % 0.62/0.87 (step @p84 :rule cnf_or_pos :args (@t89)) % 0.62/0.87 (step @p85 :rule reordering :premises (@p84) :args ((or @t55 @t88 (not @t89)))) % 0.62/0.87 (step @p86 :rule chain_m_resolution :premises (@p85 @p27 @p83) :args (@t88 @t50 (@list @t41 @t89))) % 0.62/0.87 (step @p87 :rule cnf_or_pos :args (@t92)) % 0.62/0.87 (step @p88 :rule reordering :premises (@p87) :args ((or @t90 @t91 (not @t92)))) % 0.62/0.87 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p82) :args (@t91 @t50 (@list @t88 @t92))) % 0.62/0.87 (step @p90 :rule cnf_or_pos :args (@t96)) % 0.62/0.87 (step @p91 :rule reordering :premises (@p90) :args ((or @t74 @t93 @t94 @t95 (not @t96)))) % 0.62/0.87 (step @p92 :rule chain_m_resolution :premises (@p91 @p68 @p89 @p81 @p41) :args (@t95 @t78 (@list @t70 @t91 @t86 @t96))) % 0.62/0.87 (step @p93 :rule cnf_or_pos :args (@t100)) % 0.62/0.87 (step @p94 :rule reordering :premises (@p93) :args ((or @t46 @t97 @t99 @t98 (not @t100)))) % 0.62/0.87 (step @p95 false :rule chain_m_resolution :premises (@p94 @p92 @p40 @p39 @p34 @p30) :args (false (@list false false false false true) (@list @t95 @t100 @t52 @t48 @t46))) % 0.62/0.87 ) % 0.62/0.87 % SZS output end Proof % 0.62/0.87 % cvc5 exiting %------------------------------------------------------------------------------