%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : FLD068-4 : 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 : n015.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 % 0.00/0.11 % Problem : FLD068-4 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.13/0.32 % Computer : n015.cluster.edu % 0.13/0.32 % Model : x86_64 x86_64 % 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.32 % Memory : 8042.1875MB % 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Mon Jun 1 22:48:04 EDT 2026 % 0.13/0.33 % CPUTime : % 0.28/0.47 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.49 --- 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 $$unsorted Bool)) % 0.62/0.87 (declare-const tptp.u $$unsorted) % 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.sum tptp.b @t43 tptp.u)) % 0.62/0.87 (define @t45 () (tptp.less_or_equal tptp.additive_identity tptp.u)) % 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.additive_identity @t43 @t43)) % 0.62/0.87 (define @t60 () (or @t59 @t58)) % 0.62/0.87 (define @t61 () (tptp.sum @t43 tptp.a tptp.additive_identity)) % 0.62/0.87 (define @t62 () (or @t61 @t55)) % 0.62/0.87 (define @t63 () (not @t61)) % 0.62/0.87 (define @t64 () (tptp.sum tptp.a @t43 tptp.additive_identity)) % 0.62/0.87 (define @t65 () (or @t64 @t63)) % 0.62/0.87 (define @t66 () (tptp.less_or_equal tptp.b tptp.a)) % 0.62/0.87 (define @t67 () (or @t46 @t66 @t55 @t47)) % 0.62/0.87 (define @t68 () (not @t64)) % 0.62/0.87 (define @t69 () (not @t44)) % 0.62/0.87 (define @t70 () (not @t66)) % 0.62/0.87 (define @t71 () (tptp.less_or_equal tptp.u tptp.additive_identity)) % 0.62/0.87 (define @t72 () (or @t71 @t70 @t69 @t68)) % 0.62/0.87 (define @t73 () (@list false false false false)) % 0.62/0.87 (define @t74 () (not @t45)) % 0.62/0.87 (define @t75 () (not @t71)) % 0.62/0.87 (define @t76 () (tptp.sum tptp.additive_identity tptp.u tptp.additive_identity)) % 0.62/0.87 (define @t77 () (or @t76 @t75 @t74)) % 0.62/0.87 (define @t78 () (tptp.sum @t43 tptp.b tptp.u)) % 0.62/0.87 (define @t79 () (or @t78 @t69)) % 0.62/0.87 (define @t80 () (not @t76)) % 0.62/0.87 (define @t81 () (not @t78)) % 0.62/0.87 (define @t82 () (not @t59)) % 0.62/0.87 (define @t83 () (tptp.sum @t43 tptp.b tptp.additive_identity)) % 0.62/0.87 (define @t84 () (or @t83 @t82 @t81 @t80)) % 0.62/0.87 (define @t85 () (tptp.sum tptp.additive_identity tptp.a tptp.a)) % 0.62/0.87 (define @t86 () (or @t85 @t55)) % 0.62/0.87 (define @t87 () (not @t85)) % 0.62/0.87 (define @t88 () (tptp.sum tptp.a tptp.additive_identity tptp.a)) % 0.62/0.87 (define @t89 () (or @t88 @t87)) % 0.62/0.87 (define @t90 () (not @t88)) % 0.62/0.87 (define @t91 () (not @t83)) % 0.62/0.87 (define @t92 () (tptp.sum tptp.additive_identity tptp.b tptp.a)) % 0.62/0.87 (define @t93 () (or @t92 @t68 @t91 @t90)) % 0.62/0.87 (define @t94 () (not @t48)) % 0.62/0.87 (define @t95 () (not @t92)) % 0.62/0.87 (define @t96 () (not @t52)) % 0.62/0.87 (define @t97 () (or @t46 @t96 @t95 @t94)) % 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 (tptp.defined tptp.u)) % 0.62/0.87 (assume @p30 @t44) % 0.62/0.87 (assume @p31 @t45) % 0.62/0.87 (assume @p32 (not @t46)) % 0.62/0.87 (step @p33 :rule instantiate :premises (@p3) :args ((@list tptp.b))) % 0.62/0.87 (step @p34 :rule cnf_or_pos :args (@t49)) % 0.62/0.87 (step @p35 :rule reordering :premises (@p34) :args ((or @t47 @t48 (not @t49)))) % 0.62/0.87 (step @p36 :rule chain_m_resolution :premises (@p35 @p28 @p33) :args (@t48 @t50 (@list @t42 @t49))) % 0.62/0.87 (step @p37 :rule instantiate :premises (@p23) :args ((@list tptp.additive_identity tptp.additive_identity))) % 0.62/0.87 (step @p38 :rule cnf_or_pos :args (@t53)) % 0.62/0.87 (step @p39 :rule factoring :premises (@p38)) % 0.62/0.87 (step @p40 :rule reordering :premises (@p39) :args ((or @t51 @t52 (not @t53)))) % 0.62/0.87 (step @p41 :rule chain_m_resolution :premises (@p40 @p14 @p37) :args (@t52 @t50 (@list @t36 @t53))) % 0.62/0.87 (step @p42 :rule instantiate :premises (@p24) :args ((@list tptp.a tptp.b tptp.additive_identity tptp.additive_identity tptp.b))) % 0.62/0.87 (step @p43 :rule instantiate :premises (@p2) :args ((@list tptp.additive_identity tptp.b tptp.a tptp.a @t43 tptp.additive_identity))) % 0.62/0.87 (step @p44 :rule instantiate :premises (@p2) :args ((@list @t43 tptp.b tptp.additive_identity tptp.additive_identity @t43 tptp.u))) % 0.62/0.87 (step @p45 :rule instantiate :premises (@p3) :args ((@list @t43))) % 0.62/0.87 (step @p46 :rule instantiate :premises (@p15) :args (@t54)) % 0.62/0.87 (step @p47 :rule cnf_or_pos :args (@t57)) % 0.62/0.87 (step @p48 :rule reordering :premises (@p47) :args ((or @t55 @t56 (not @t57)))) % 0.62/0.87 (step @p49 :rule chain_m_resolution :premises (@p48 @p27 @p46) :args (@t56 @t50 (@list @t41 @t57))) % 0.62/0.87 (step @p50 :rule cnf_or_pos :args (@t60)) % 0.62/0.87 (step @p51 :rule reordering :premises (@p50) :args ((or @t58 @t59 (not @t60)))) % 0.62/0.87 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p45) :args (@t59 @t50 (@list @t56 @t60))) % 0.62/0.87 (step @p53 :rule instantiate :premises (@p21) :args ((@list tptp.u tptp.additive_identity))) % 0.62/0.87 (step @p54 :rule instantiate :premises (@p24) :args ((@list tptp.u tptp.additive_identity tptp.b tptp.a @t43))) % 0.62/0.87 (step @p55 :rule instantiate :premises (@p5) :args ((@list tptp.a @t43 tptp.additive_identity))) % 0.62/0.87 (step @p56 :rule instantiate :premises (@p4) :args (@t54)) % 0.62/0.87 (step @p57 :rule cnf_or_pos :args (@t62)) % 0.62/0.87 (step @p58 :rule reordering :premises (@p57) :args ((or @t55 @t61 (not @t62)))) % 0.62/0.87 (step @p59 :rule chain_m_resolution :premises (@p58 @p27 @p56) :args (@t61 @t50 (@list @t41 @t62))) % 0.62/0.87 (step @p60 :rule cnf_or_pos :args (@t65)) % 0.62/0.87 (step @p61 :rule reordering :premises (@p60) :args ((or @t63 @t64 (not @t65)))) % 0.62/0.87 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p55) :args (@t64 @t50 (@list @t61 @t65))) % 0.62/0.87 (step @p63 :rule instantiate :premises (@p23) :args ((@list tptp.a tptp.b))) % 0.62/0.87 (step @p64 :rule cnf_or_pos :args (@t67)) % 0.62/0.87 (step @p65 :rule reordering :premises (@p64) :args ((or @t46 @t55 @t47 @t66 (not @t67)))) % 0.62/0.87 (step @p66 :rule chain_m_resolution :premises (@p65 @p32 @p27 @p28 @p63) :args (@t66 (@list true false false false) (@list @t46 @t41 @t42 @t67))) % 0.62/0.87 (step @p67 :rule cnf_or_pos :args (@t72)) % 0.62/0.87 (step @p68 :rule reordering :premises (@p67) :args ((or @t69 @t71 @t70 @t68 (not @t72)))) % 0.62/0.87 (step @p69 :rule chain_m_resolution :premises (@p68 @p30 @p66 @p62 @p54) :args (@t71 @t73 (@list @t44 @t66 @t64 @t72))) % 0.62/0.87 (step @p70 :rule cnf_or_pos :args (@t77)) % 0.62/0.87 (step @p71 :rule reordering :premises (@p70) :args ((or @t74 @t76 @t75 (not @t77)))) % 0.62/0.87 (step @p72 :rule chain_m_resolution :premises (@p71 @p31 @p69 @p53) :args (@t76 (@list false false false) (@list @t45 @t71 @t77))) % 0.62/0.87 (step @p73 :rule instantiate :premises (@p5) :args ((@list @t43 tptp.b tptp.u))) % 0.62/0.87 (step @p74 :rule cnf_or_pos :args (@t79)) % 0.62/0.87 (step @p75 :rule reordering :premises (@p74) :args ((or @t69 @t78 (not @t79)))) % 0.62/0.87 (step @p76 :rule chain_m_resolution :premises (@p75 @p30 @p73) :args (@t78 @t50 (@list @t44 @t79))) % 0.62/0.87 (step @p77 :rule cnf_or_pos :args (@t84)) % 0.62/0.87 (step @p78 :rule reordering :premises (@p77) :args ((or @t81 @t80 @t82 @t83 (not @t84)))) % 0.62/0.87 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p72 @p52 @p44) :args (@t83 @t73 (@list @t78 @t76 @t59 @t84))) % 0.62/0.87 (step @p80 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.additive_identity tptp.a))) % 0.62/0.87 (step @p81 :rule instantiate :premises (@p3) :args (@t54)) % 0.62/0.87 (step @p82 :rule cnf_or_pos :args (@t86)) % 0.62/0.87 (step @p83 :rule reordering :premises (@p82) :args ((or @t55 @t85 (not @t86)))) % 0.62/0.87 (step @p84 :rule chain_m_resolution :premises (@p83 @p27 @p81) :args (@t85 @t50 (@list @t41 @t86))) % 0.62/0.87 (step @p85 :rule cnf_or_pos :args (@t89)) % 0.62/0.87 (step @p86 :rule reordering :premises (@p85) :args ((or @t87 @t88 (not @t89)))) % 0.62/0.87 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p80) :args (@t88 @t50 (@list @t85 @t89))) % 0.62/0.87 (step @p88 :rule cnf_or_pos :args (@t93)) % 0.62/0.87 (step @p89 :rule reordering :premises (@p88) :args ((or @t68 @t90 @t91 @t92 (not @t93)))) % 0.62/0.87 (step @p90 :rule chain_m_resolution :premises (@p89 @p62 @p87 @p79 @p43) :args (@t92 @t73 (@list @t64 @t88 @t83 @t93))) % 0.62/0.87 (step @p91 :rule cnf_or_pos :args (@t97)) % 0.62/0.87 (step @p92 :rule reordering :premises (@p91) :args ((or @t46 @t94 @t96 @t95 (not @t97)))) % 0.62/0.87 (step @p93 false :rule chain_m_resolution :premises (@p92 @p90 @p42 @p41 @p36 @p32) :args (false (@list false false false false true) (@list @t92 @t97 @t52 @t48 @t46))) % 0.62/0.87 ) % 0.62/0.87 % SZS output end Proof % 0.62/0.87 % cvc5 exiting %------------------------------------------------------------------------------