%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : FLD070-4 : 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 : n001.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 0.63s 0.86s % Output : Proof 0.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : FLD070-4 : 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 : n001.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 22:48:50 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... % 0.63/0.86 % SZS status Unsatisfiable % 0.63/0.86 % SZS output start Proof % 0.63/0.86 ( % 0.63/0.86 (declare-sort $$unsorted 0) % 0.63/0.86 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 0.63/0.86 (declare-const tptp.c $$unsorted) % 0.63/0.86 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.86 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.86 (declare-const tptp.multiplicative_inverse (-> $$unsorted $$unsorted)) % 0.63/0.86 (declare-const tptp.multiplicative_identity $$unsorted) % 0.63/0.86 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.63/0.86 (declare-const tptp.a $$unsorted) % 0.63/0.86 (declare-const tptp.additive_identity $$unsorted) % 0.63/0.86 (declare-const tptp.b $$unsorted) % 0.63/0.86 (declare-const tptp.defined (-> $$unsorted Bool)) % 0.63/0.86 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 0.63/0.86 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.63/0.86 (define @t1 () (@var "W" $$unsorted)) % 0.63/0.86 (define @t2 () (@var "Z" $$unsorted)) % 0.63/0.86 (define @t3 () (@var "U" $$unsorted)) % 0.63/0.86 (define @t4 () (tptp.sum @t3 @t2 @t1)) % 0.63/0.86 (define @t5 () (@var "V" $$unsorted)) % 0.63/0.86 (define @t6 () (@var "Y" $$unsorted)) % 0.63/0.86 (define @t7 () (not (tptp.sum @t6 @t2 @t5))) % 0.63/0.86 (define @t8 () (@var "X" $$unsorted)) % 0.63/0.86 (define @t9 () (not (tptp.sum @t8 @t6 @t3))) % 0.63/0.86 (define @t10 () (tptp.sum @t8 @t5 @t1)) % 0.63/0.86 (define @t11 () (@list @t8 @t5 @t1 @t6 @t3 @t2)) % 0.63/0.86 (define @t12 () (forall @t11 (or @t10 @t9 @t7 (not @t4)))) % 0.63/0.86 (define @t13 () (@list @t3 @t2 @t1 @t8 @t6 @t5)) % 0.63/0.86 (define @t14 () (not (tptp.defined @t8))) % 0.63/0.86 (define @t15 () (@list @t8)) % 0.63/0.86 (define @t16 () (tptp.additive_inverse @t8)) % 0.63/0.86 (define @t17 () (@list @t6 @t8 @t2)) % 0.63/0.86 (define @t18 () (tptp.product @t3 @t2 @t1)) % 0.63/0.86 (define @t19 () (not (tptp.product @t6 @t2 @t5))) % 0.63/0.86 (define @t20 () (not (tptp.product @t8 @t6 @t3))) % 0.63/0.86 (define @t21 () (tptp.product @t8 @t5 @t1)) % 0.63/0.86 (define @t22 () (tptp.sum tptp.additive_identity @t8 tptp.additive_identity)) % 0.63/0.86 (define @t23 () (tptp.multiplicative_inverse @t8)) % 0.63/0.86 (define @t24 () (not (tptp.product @t8 @t6 @t2))) % 0.63/0.86 (define @t25 () (@var "D" $$unsorted)) % 0.63/0.86 (define @t26 () (not (tptp.product @t6 @t2 @t25))) % 0.63/0.86 (define @t27 () (@var "C" $$unsorted)) % 0.63/0.86 (define @t28 () (not (tptp.product @t8 @t2 @t27))) % 0.63/0.86 (define @t29 () (@var "B" $$unsorted)) % 0.63/0.86 (define @t30 () (@var "A" $$unsorted)) % 0.63/0.86 (define @t31 () (tptp.product @t30 @t2 @t29)) % 0.63/0.86 (define @t32 () (not (tptp.sum @t8 @t6 @t30))) % 0.63/0.86 (define @t33 () (tptp.sum @t27 @t25 @t29)) % 0.63/0.86 (define @t34 () (not (tptp.defined @t6))) % 0.63/0.86 (define @t35 () (tptp.add @t8 @t6)) % 0.63/0.86 (define @t36 () (@list @t8 @t6)) % 0.63/0.86 (define @t37 () (tptp.defined tptp.additive_identity)) % 0.63/0.86 (define @t38 () (tptp.multiply @t8 @t6)) % 0.63/0.86 (define @t39 () (tptp.less_or_equal @t6 @t8)) % 0.63/0.86 (define @t40 () (tptp.less_or_equal @t8 @t6)) % 0.63/0.86 (define @t41 () (not @t40)) % 0.63/0.86 (define @t42 () (tptp.defined tptp.a)) % 0.63/0.86 (define @t43 () (tptp.defined tptp.b)) % 0.63/0.86 (define @t44 () (tptp.defined tptp.c)) % 0.63/0.86 (define @t45 () (tptp.less_or_equal tptp.additive_identity tptp.a)) % 0.63/0.86 (define @t46 () (tptp.less_or_equal tptp.additive_identity tptp.b)) % 0.63/0.86 (define @t47 () (tptp.sum tptp.a tptp.b tptp.c)) % 0.63/0.86 (define @t48 () (tptp.less_or_equal tptp.additive_identity tptp.c)) % 0.63/0.86 (define @t49 () (@list tptp.a)) % 0.63/0.86 (define @t50 () (not @t42)) % 0.63/0.86 (define @t51 () (tptp.sum tptp.additive_identity tptp.a tptp.a)) % 0.63/0.86 (define @t52 () (or @t51 @t50)) % 0.63/0.86 (define @t53 () (@list false false)) % 0.63/0.86 (define @t54 () (not @t51)) % 0.63/0.86 (define @t55 () (tptp.sum tptp.a tptp.additive_identity tptp.a)) % 0.63/0.86 (define @t56 () (or @t55 @t54)) % 0.63/0.86 (define @t57 () (not @t37)) % 0.63/0.86 (define @t58 () (tptp.sum tptp.additive_identity tptp.additive_identity tptp.additive_identity)) % 0.63/0.86 (define @t59 () (or @t58 @t57)) % 0.63/0.86 (define @t60 () (tptp.sum tptp.a tptp.additive_identity tptp.c)) % 0.63/0.86 (define @t61 () (not @t60)) % 0.63/0.86 (define @t62 () (not @t58)) % 0.63/0.86 (define @t63 () (not @t45)) % 0.63/0.86 (define @t64 () (or @t48 @t63 @t62 @t61)) % 0.63/0.86 (define @t65 () (tptp.additive_inverse tptp.a)) % 0.63/0.86 (define @t66 () (tptp.sum @t65 tptp.a tptp.additive_identity)) % 0.63/0.86 (define @t67 () (or @t66 @t50)) % 0.63/0.86 (define @t68 () (not @t66)) % 0.63/0.86 (define @t69 () (tptp.sum tptp.a @t65 tptp.additive_identity)) % 0.63/0.86 (define @t70 () (or @t69 @t68)) % 0.63/0.86 (define @t71 () (not @t43)) % 0.63/0.86 (define @t72 () (tptp.sum tptp.additive_identity tptp.b tptp.b)) % 0.63/0.86 (define @t73 () (or @t72 @t71)) % 0.63/0.86 (define @t74 () (not @t72)) % 0.63/0.86 (define @t75 () (tptp.sum tptp.b tptp.additive_identity tptp.b)) % 0.63/0.86 (define @t76 () (or @t75 @t74)) % 0.63/0.86 (define @t77 () (not @t47)) % 0.63/0.86 (define @t78 () (tptp.sum tptp.b tptp.a tptp.c)) % 0.63/0.86 (define @t79 () (or @t78 @t77)) % 0.63/0.86 (define @t80 () (not @t75)) % 0.63/0.86 (define @t81 () (not @t69)) % 0.63/0.86 (define @t82 () (not @t78)) % 0.63/0.86 (define @t83 () (tptp.sum tptp.c @t65 tptp.b)) % 0.63/0.86 (define @t84 () (or @t83 @t82 @t81 @t80)) % 0.63/0.86 (define @t85 () (@list false false false false)) % 0.63/0.86 (define @t86 () (tptp.less_or_equal tptp.a tptp.c)) % 0.63/0.86 (define @t87 () (not @t86)) % 0.63/0.86 (define @t88 () (or @t48 @t63 @t87)) % 0.63/0.86 (define @t89 () (not @t44)) % 0.63/0.86 (define @t90 () (tptp.less_or_equal tptp.c tptp.a)) % 0.63/0.86 (define @t91 () (or @t86 @t90 @t50 @t89)) % 0.63/0.86 (define @t92 () (@list false false true false)) % 0.63/0.86 (define @t93 () (not @t83)) % 0.63/0.86 (define @t94 () (not @t90)) % 0.63/0.86 (define @t95 () (tptp.less_or_equal tptp.b tptp.additive_identity)) % 0.63/0.86 (define @t96 () (or @t95 @t94 @t93 @t81)) % 0.63/0.86 (define @t97 () (not @t46)) % 0.63/0.86 (define @t98 () (not @t95)) % 0.63/0.86 (define @t99 () (tptp.sum tptp.additive_identity tptp.b tptp.additive_identity)) % 0.63/0.86 (define @t100 () (or @t99 @t98 @t97)) % 0.63/0.86 (define @t101 () (not @t99)) % 0.63/0.86 (define @t102 () (not @t55)) % 0.63/0.86 (define @t103 () (or @t60 @t102 @t101 @t77)) % 0.63/0.86 (define @t104 () (not @t103)) % 0.63/0.86 (assume @p1 @t12) % 0.63/0.86 (assume @p2 (forall @t13 (or @t4 @t9 @t7 (not @t10)))) % 0.63/0.86 (assume @p3 (forall @t15 (or (tptp.sum tptp.additive_identity @t8 @t8) @t14))) % 0.63/0.86 (assume @p4 (forall @t15 (or (tptp.sum @t16 @t8 tptp.additive_identity) @t14))) % 0.63/0.86 (assume @p5 (forall @t17 (or (tptp.sum @t6 @t8 @t2) (not (tptp.sum @t8 @t6 @t2))))) % 0.63/0.86 (assume @p6 (forall @t11 (or @t21 @t20 @t19 (not @t18)))) % 0.63/0.86 (assume @p7 (forall @t13 (or @t18 @t20 @t19 (not @t21)))) % 0.63/0.86 (assume @p8 (forall @t15 (or (tptp.product tptp.multiplicative_identity @t8 @t8) @t14))) % 0.63/0.86 (assume @p9 (forall @t15 (or (tptp.product @t23 @t8 tptp.multiplicative_identity) @t22 @t14))) % 0.63/0.86 (assume @p10 (forall @t17 (or (tptp.product @t6 @t8 @t2) @t24))) % 0.63/0.86 (assume @p11 (forall (@list @t27 @t25 @t29 @t8 @t6 @t30 @t2) (or @t33 @t32 (not @t31) @t28 @t26))) % 0.63/0.86 (assume @p12 (forall (@list @t30 @t2 @t29 @t8 @t6 @t27 @t25) (or @t31 @t32 @t28 @t26 (not @t33)))) % 0.63/0.86 (assume @p13 (forall @t36 (or (tptp.defined @t35) @t14 @t34))) % 0.63/0.86 (assume @p14 @t37) % 0.63/0.86 (assume @p15 (forall @t15 (or (tptp.defined @t16) @t14))) % 0.63/0.86 (assume @p16 (forall @t36 (or (tptp.defined @t38) @t14 @t34))) % 0.63/0.86 (assume @p17 (tptp.defined tptp.multiplicative_identity)) % 0.63/0.86 (assume @p18 (forall @t15 (or (tptp.defined @t23) @t14 @t22))) % 0.63/0.86 (assume @p19 (forall @t36 (or (tptp.sum @t8 @t6 @t35) @t14 @t34))) % 0.63/0.86 (assume @p20 (forall @t36 (or (tptp.product @t8 @t6 @t38) @t14 @t34))) % 0.63/0.86 (assume @p21 (forall @t36 (or (tptp.sum tptp.additive_identity @t8 @t6) @t41 (not @t39)))) % 0.63/0.86 (assume @p22 (forall (@list @t8 @t2 @t6) (or (tptp.less_or_equal @t8 @t2) @t41 (not (tptp.less_or_equal @t6 @t2))))) % 0.63/0.86 (assume @p23 (forall @t36 (or @t40 @t39 @t14 @t34))) % 0.63/0.86 (assume @p24 (forall (@list @t3 @t5 @t8 @t6 @t2) (or (tptp.less_or_equal @t3 @t5) @t41 (not (tptp.sum @t8 @t2 @t3)) @t7))) % 0.63/0.86 (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))) % 0.63/0.86 (assume @p26 (not (tptp.sum tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity))) % 0.63/0.86 (assume @p27 @t42) % 0.63/0.86 (assume @p28 @t43) % 0.63/0.86 (assume @p29 @t44) % 0.63/0.86 (assume @p30 @t45) % 0.63/0.86 (assume @p31 @t46) % 0.63/0.86 (assume @p32 @t47) % 0.63/0.86 (assume @p33 (not @t48)) % 0.63/0.86 (step @p34 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.additive_identity tptp.a))) % 0.63/0.86 (step @p35 :rule instantiate :premises (@p3) :args (@t49)) % 0.63/0.86 (step @p36 :rule cnf_or_pos :args (@t52)) % 0.63/0.86 (step @p37 :rule reordering :premises (@p36) :args ((or @t50 @t51 (not @t52)))) % 0.63/0.86 (step @p38 :rule chain_m_resolution :premises (@p37 @p27 @p35) :args (@t51 @t53 (@list @t42 @t52))) % 0.63/0.86 (step @p39 :rule cnf_or_pos :args (@t56)) % 0.63/0.86 (step @p40 :rule reordering :premises (@p39) :args ((or @t54 @t55 (not @t56)))) % 0.63/0.86 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p34) :args (@t55 @t53 (@list @t51 @t56))) % 0.63/0.86 (step @p42 :rule instantiate :premises (@p24) :args ((@list tptp.additive_identity tptp.c tptp.additive_identity tptp.a tptp.additive_identity))) % 0.63/0.86 (step @p43 :rule instantiate :premises (@p3) :args ((@list tptp.additive_identity))) % 0.63/0.86 (step @p44 :rule cnf_or_pos :args (@t59)) % 0.63/0.86 (step @p45 :rule reordering :premises (@p44) :args ((or @t57 @t58 (not @t59)))) % 0.63/0.86 (step @p46 :rule chain_m_resolution :premises (@p45 @p14 @p43) :args (@t58 @t53 (@list @t37 @t59))) % 0.63/0.86 (step @p47 :rule cnf_or_pos :args (@t64)) % 0.63/0.86 (step @p48 :rule reordering :premises (@p47) :args ((or @t48 @t63 @t62 @t61 (not @t64)))) % 0.63/0.86 (step @p49 :rule chain_m_resolution :premises (@p48 @p33 @p30 @p46 @p42) :args (@t61 (@list true false false false) (@list @t48 @t45 @t58 @t64))) % 0.63/0.86 (step @p50 :rule instantiate :premises (@p21) :args ((@list tptp.b tptp.additive_identity))) % 0.63/0.86 (step @p51 :rule instantiate :premises (@p24) :args ((@list tptp.b tptp.additive_identity tptp.c tptp.a @t65))) % 0.63/0.86 (step @p52 :rule instantiate :premises (@p2) :args ((@list tptp.c @t65 tptp.b tptp.b tptp.a tptp.additive_identity))) % 0.63/0.86 (step @p53 :rule instantiate :premises (@p5) :args ((@list tptp.a @t65 tptp.additive_identity))) % 0.63/0.86 (step @p54 :rule instantiate :premises (@p4) :args (@t49)) % 0.63/0.86 (step @p55 :rule cnf_or_pos :args (@t67)) % 0.63/0.86 (step @p56 :rule reordering :premises (@p55) :args ((or @t50 @t66 (not @t67)))) % 0.63/0.86 (step @p57 :rule chain_m_resolution :premises (@p56 @p27 @p54) :args (@t66 @t53 (@list @t42 @t67))) % 0.63/0.86 (step @p58 :rule cnf_or_pos :args (@t70)) % 0.63/0.86 (step @p59 :rule reordering :premises (@p58) :args ((or @t68 @t69 (not @t70)))) % 0.63/0.86 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p53) :args (@t69 @t53 (@list @t66 @t70))) % 0.63/0.86 (step @p61 :rule instantiate :premises (@p5) :args ((@list tptp.b tptp.additive_identity tptp.b))) % 0.63/0.86 (step @p62 :rule instantiate :premises (@p3) :args ((@list tptp.b))) % 0.63/0.86 (step @p63 :rule cnf_or_pos :args (@t73)) % 0.63/0.86 (step @p64 :rule reordering :premises (@p63) :args ((or @t71 @t72 (not @t73)))) % 0.63/0.86 (step @p65 :rule chain_m_resolution :premises (@p64 @p28 @p62) :args (@t72 @t53 (@list @t43 @t73))) % 0.63/0.86 (step @p66 :rule cnf_or_pos :args (@t76)) % 0.63/0.86 (step @p67 :rule reordering :premises (@p66) :args ((or @t74 @t75 (not @t76)))) % 0.63/0.86 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p61) :args (@t75 @t53 (@list @t72 @t76))) % 0.63/0.86 (step @p69 :rule instantiate :premises (@p5) :args ((@list tptp.b tptp.a tptp.c))) % 0.63/0.86 (step @p70 :rule cnf_or_pos :args (@t79)) % 0.63/0.86 (step @p71 :rule reordering :premises (@p70) :args ((or @t77 @t78 (not @t79)))) % 0.63/0.86 (step @p72 :rule chain_m_resolution :premises (@p71 @p32 @p69) :args (@t78 @t53 (@list @t47 @t79))) % 0.63/0.86 (step @p73 :rule cnf_or_pos :args (@t84)) % 0.63/0.86 (step @p74 :rule reordering :premises (@p73) :args ((or @t82 @t80 @t81 @t83 (not @t84)))) % 0.63/0.86 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p68 @p60 @p52) :args (@t83 @t85 (@list @t78 @t75 @t69 @t84))) % 0.63/0.86 (step @p76 :rule instantiate :premises (@p23) :args ((@list tptp.a tptp.c))) % 0.63/0.86 (step @p77 :rule instantiate :premises (@p22) :args ((@list tptp.additive_identity tptp.c tptp.a))) % 0.63/0.86 (step @p78 :rule cnf_or_pos :args (@t88)) % 0.63/0.86 (step @p79 :rule reordering :premises (@p78) :args ((or @t48 @t63 @t87 (not @t88)))) % 0.63/0.86 (step @p80 :rule chain_m_resolution :premises (@p79 @p33 @p30 @p77) :args (@t87 (@list true false false) (@list @t48 @t45 @t88))) % 0.63/0.86 (step @p81 :rule cnf_or_pos :args (@t91)) % 0.63/0.86 (step @p82 :rule reordering :premises (@p81) :args ((or @t50 @t89 @t86 @t90 (not @t91)))) % 0.63/0.86 (step @p83 :rule chain_m_resolution :premises (@p82 @p27 @p29 @p80 @p76) :args (@t90 @t92 (@list @t42 @t44 @t86 @t91))) % 0.63/0.86 (step @p84 :rule cnf_or_pos :args (@t96)) % 0.63/0.86 (step @p85 :rule reordering :premises (@p84) :args ((or @t95 @t81 @t94 @t93 (not @t96)))) % 0.63/0.86 (step @p86 :rule chain_m_resolution :premises (@p85 @p60 @p83 @p75 @p51) :args (@t95 @t85 (@list @t69 @t90 @t83 @t96))) % 0.63/0.86 (step @p87 :rule cnf_or_pos :args (@t100)) % 0.63/0.86 (step @p88 :rule reordering :premises (@p87) :args ((or @t97 @t99 @t98 (not @t100)))) % 0.63/0.86 (step @p89 :rule chain_m_resolution :premises (@p88 @p31 @p86 @p50) :args (@t99 (@list false false false) (@list @t46 @t95 @t100))) % 0.63/0.86 (step @p90 :rule cnf_or_pos :args (@t103)) % 0.63/0.86 (step @p91 :rule reordering :premises (@p90) :args ((or @t77 @t101 @t60 @t102 @t104))) % 0.63/0.86 (step @p92 :rule chain_m_resolution :premises (@p91 @p32 @p89 @p49 @p41) :args (@t104 @t92 (@list @t47 @t99 @t60 @t55))) % 0.63/0.86 (assume-push @p99 @t12) % 0.63/0.86 (step @p94 :rule instantiate :premises (@p1) :args ((@list tptp.a tptp.additive_identity tptp.c tptp.additive_identity tptp.a tptp.b))) % 0.63/0.86 (step-pop @p100 :rule scope :premises (@p94)) % 0.63/0.86 (step @p95 :rule process_scope :premises (@p100) :args (@t103)) % 0.63/0.86 (step @p97 :rule implies_elim :premises (@p95)) % 0.63/0.86 (step @p98 false :rule chain_m_resolution :premises (@p97 @p92 @p1) :args (false (@list true false) (@list @t103 @t12))) % 0.63/0.86 ) % 0.63/0.87 % SZS output end Proof % 0.63/0.87 % cvc5 exiting %------------------------------------------------------------------------------