%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : FLD049-3 : 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 : n020.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 08:15:30 AM UTC 2026 % Result : Unsatisfiable 158.23s 158.58s % Output : Proof 158.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : FLD049-3 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n020.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 22:41:40 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.29/15.58 --- Run --no-e-matching --full-saturate-quant at 6... % 21.39/21.62 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.39/27.65 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.51/33.70 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.48/63.78 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.56/78.83 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 111.68/111.90 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 111.68/127.02 --- Run --prenex-quant=none --full-saturate-quant at 30... % 156.75/157.10 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 158.23/158.58 % SZS status Unsatisfiable % 158.23/158.58 % SZS output start Proof % 158.23/158.58 ( % 158.23/158.58 (declare-sort $$unsorted 0) % 158.23/158.58 (declare-const tptp.d $$unsorted) % 158.23/158.58 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 158.23/158.58 (declare-const tptp.defined (-> $$unsorted Bool)) % 158.23/158.58 (declare-const tptp.b $$unsorted) % 158.23/158.58 (declare-const tptp.additive_identity $$unsorted) % 158.23/158.58 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 158.23/158.58 (declare-const tptp.a $$unsorted) % 158.23/158.58 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 158.23/158.58 (declare-const tptp.multiplicative_identity $$unsorted) % 158.23/158.58 (declare-const tptp.multiplicative_inverse (-> $$unsorted $$unsorted)) % 158.23/158.58 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 158.23/158.58 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 158.23/158.58 (declare-const tptp.c $$unsorted) % 158.23/158.58 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 158.23/158.58 (define @t1 () (@var "W" $$unsorted)) % 158.23/158.58 (define @t2 () (@var "Z" $$unsorted)) % 158.23/158.58 (define @t3 () (@var "U" $$unsorted)) % 158.23/158.58 (define @t4 () (tptp.sum @t3 @t2 @t1)) % 158.23/158.58 (define @t5 () (@var "V" $$unsorted)) % 158.23/158.58 (define @t6 () (@var "Y" $$unsorted)) % 158.23/158.58 (define @t7 () (not (tptp.sum @t6 @t2 @t5))) % 158.23/158.58 (define @t8 () (@var "X" $$unsorted)) % 158.23/158.58 (define @t9 () (not (tptp.sum @t8 @t6 @t3))) % 158.23/158.58 (define @t10 () (tptp.sum @t8 @t5 @t1)) % 158.23/158.58 (define @t11 () (@list @t8 @t5 @t1 @t6 @t3 @t2)) % 158.23/158.58 (define @t12 () (@list @t3 @t2 @t1 @t8 @t6 @t5)) % 158.23/158.58 (define @t13 () (not (tptp.defined @t8))) % 158.23/158.58 (define @t14 () (@list @t8)) % 158.23/158.58 (define @t15 () (tptp.additive_inverse @t8)) % 158.23/158.58 (define @t16 () (@list @t6 @t8 @t2)) % 158.23/158.58 (define @t17 () (tptp.product @t3 @t2 @t1)) % 158.23/158.58 (define @t18 () (not (tptp.product @t6 @t2 @t5))) % 158.23/158.58 (define @t19 () (not (tptp.product @t8 @t6 @t3))) % 158.23/158.58 (define @t20 () (tptp.product @t8 @t5 @t1)) % 158.23/158.58 (define @t21 () (forall @t12 (or @t17 @t19 @t18 (not @t20)))) % 158.23/158.58 (define @t22 () (tptp.sum tptp.additive_identity @t8 tptp.additive_identity)) % 158.23/158.58 (define @t23 () (tptp.multiplicative_inverse @t8)) % 158.23/158.58 (define @t24 () (not (tptp.product @t8 @t6 @t2))) % 158.23/158.58 (define @t25 () (@var "D" $$unsorted)) % 158.23/158.58 (define @t26 () (not (tptp.product @t6 @t2 @t25))) % 158.23/158.58 (define @t27 () (@var "C" $$unsorted)) % 158.23/158.58 (define @t28 () (not (tptp.product @t8 @t2 @t27))) % 158.23/158.58 (define @t29 () (@var "B" $$unsorted)) % 158.23/158.58 (define @t30 () (@var "A" $$unsorted)) % 158.23/158.58 (define @t31 () (tptp.product @t30 @t2 @t29)) % 158.23/158.58 (define @t32 () (not (tptp.sum @t8 @t6 @t30))) % 158.23/158.58 (define @t33 () (tptp.sum @t27 @t25 @t29)) % 158.23/158.58 (define @t34 () (not (tptp.defined @t6))) % 158.23/158.58 (define @t35 () (tptp.add @t8 @t6)) % 158.23/158.58 (define @t36 () (@list @t8 @t6)) % 158.23/158.58 (define @t37 () (tptp.multiply @t8 @t6)) % 158.23/158.58 (define @t38 () (tptp.less_or_equal @t6 @t8)) % 158.23/158.58 (define @t39 () (tptp.less_or_equal @t8 @t6)) % 158.23/158.58 (define @t40 () (not @t39)) % 158.23/158.58 (define @t41 () (tptp.defined tptp.a)) % 158.23/158.58 (define @t42 () (tptp.defined tptp.b)) % 158.23/158.58 (define @t43 () (tptp.defined tptp.c)) % 158.23/158.58 (define @t44 () (tptp.defined tptp.d)) % 158.23/158.58 (define @t45 () (tptp.sum tptp.additive_identity tptp.b tptp.additive_identity)) % 158.23/158.58 (define @t46 () (tptp.sum tptp.additive_identity tptp.d tptp.additive_identity)) % 158.23/158.58 (define @t47 () (tptp.multiplicative_inverse tptp.d)) % 158.23/158.58 (define @t48 () (tptp.multiply tptp.c @t47)) % 158.23/158.58 (define @t49 () (tptp.multiplicative_inverse tptp.b)) % 158.23/158.58 (define @t50 () (tptp.product tptp.a @t49 @t48)) % 158.23/158.58 (define @t51 () (tptp.multiply tptp.b tptp.c)) % 158.23/158.58 (define @t52 () (tptp.product tptp.a tptp.d @t51)) % 158.23/158.58 (define @t53 () (not @t42)) % 158.23/158.58 (define @t54 () (tptp.product @t49 tptp.b tptp.multiplicative_identity)) % 158.23/158.58 (define @t55 () (or @t54 @t45 @t53)) % 158.23/158.58 (define @t56 () (@list true false false)) % 158.23/158.58 (define @t57 () (not @t54)) % 158.23/158.58 (define @t58 () (tptp.product tptp.b @t49 tptp.multiplicative_identity)) % 158.23/158.58 (define @t59 () (or @t58 @t57)) % 158.23/158.58 (define @t60 () (@list false false)) % 158.23/158.58 (define @t61 () (not @t50)) % 158.23/158.58 (define @t62 () (tptp.product @t49 tptp.a @t48)) % 158.23/158.58 (define @t63 () (or @t62 @t61)) % 158.23/158.58 (define @t64 () (not @t41)) % 158.23/158.58 (define @t65 () (tptp.product tptp.multiplicative_identity tptp.a tptp.a)) % 158.23/158.58 (define @t66 () (or @t65 @t64)) % 158.23/158.58 (define @t67 () (not @t65)) % 158.23/158.58 (define @t68 () (not @t62)) % 158.23/158.58 (define @t69 () (not @t58)) % 158.23/158.58 (define @t70 () (tptp.product tptp.b @t48 tptp.a)) % 158.23/158.58 (define @t71 () (or @t70 @t69 @t68 @t67)) % 158.23/158.58 (define @t72 () (@list tptp.b tptp.c)) % 158.23/158.58 (define @t73 () (not @t43)) % 158.23/158.58 (define @t74 () (tptp.defined @t51)) % 158.23/158.58 (define @t75 () (or @t74 @t53 @t73)) % 158.23/158.58 (define @t76 () (@list false false false)) % 158.23/158.58 (define @t77 () (not @t74)) % 158.23/158.58 (define @t78 () (tptp.product tptp.multiplicative_identity @t51 @t51)) % 158.23/158.58 (define @t79 () (or @t78 @t77)) % 158.23/158.58 (define @t80 () (not @t78)) % 158.23/158.58 (define @t81 () (tptp.product @t51 tptp.multiplicative_identity @t51)) % 158.23/158.58 (define @t82 () (or @t81 @t80)) % 158.23/158.58 (define @t83 () (@list tptp.d)) % 158.23/158.58 (define @t84 () (not @t44)) % 158.23/158.58 (define @t85 () (tptp.product @t47 tptp.d tptp.multiplicative_identity)) % 158.23/158.58 (define @t86 () (or @t85 @t46 @t84)) % 158.23/158.58 (define @t87 () (not @t81)) % 158.23/158.58 (define @t88 () (not @t85)) % 158.23/158.58 (define @t89 () (tptp.product @t51 @t47 tptp.a)) % 158.23/158.58 (define @t90 () (not @t89)) % 158.23/158.58 (define @t91 () (or @t52 @t90 @t88 @t87)) % 158.23/158.58 (define @t92 () (tptp.defined @t47)) % 158.23/158.58 (define @t93 () (or @t92 @t84 @t46)) % 158.23/158.58 (define @t94 () (not @t92)) % 158.23/158.58 (define @t95 () (tptp.product tptp.c @t47 @t48)) % 158.23/158.58 (define @t96 () (or @t95 @t73 @t94)) % 158.23/158.58 (define @t97 () (tptp.product tptp.b tptp.c @t51)) % 158.23/158.58 (define @t98 () (or @t97 @t53 @t73)) % 158.23/158.58 (define @t99 () (not @t70)) % 158.23/158.58 (define @t100 () (not @t95)) % 158.23/158.58 (define @t101 () (not @t97)) % 158.23/158.58 (define @t102 () (or @t89 @t101 @t100 @t99)) % 158.23/158.58 (define @t103 () (not @t102)) % 158.23/158.58 (assume @p1 (forall @t11 (or @t10 @t9 @t7 (not @t4)))) % 158.23/158.58 (assume @p2 (forall @t12 (or @t4 @t9 @t7 (not @t10)))) % 158.23/158.58 (assume @p3 (forall @t14 (or (tptp.sum tptp.additive_identity @t8 @t8) @t13))) % 158.23/158.58 (assume @p4 (forall @t14 (or (tptp.sum @t15 @t8 tptp.additive_identity) @t13))) % 158.23/158.58 (assume @p5 (forall @t16 (or (tptp.sum @t6 @t8 @t2) (not (tptp.sum @t8 @t6 @t2))))) % 158.23/158.58 (assume @p6 (forall @t11 (or @t20 @t19 @t18 (not @t17)))) % 158.23/158.58 (assume @p7 @t21) % 158.23/158.58 (assume @p8 (forall @t14 (or (tptp.product tptp.multiplicative_identity @t8 @t8) @t13))) % 158.23/158.58 (assume @p9 (forall @t14 (or (tptp.product @t23 @t8 tptp.multiplicative_identity) @t22 @t13))) % 158.23/158.58 (assume @p10 (forall @t16 (or (tptp.product @t6 @t8 @t2) @t24))) % 158.23/158.58 (assume @p11 (forall (@list @t27 @t25 @t29 @t8 @t6 @t30 @t2) (or @t33 @t32 (not @t31) @t28 @t26))) % 158.23/158.58 (assume @p12 (forall (@list @t30 @t2 @t29 @t8 @t6 @t27 @t25) (or @t31 @t32 @t28 @t26 (not @t33)))) % 158.23/158.58 (assume @p13 (forall @t36 (or (tptp.defined @t35) @t13 @t34))) % 158.23/158.58 (assume @p14 (tptp.defined tptp.additive_identity)) % 158.23/158.58 (assume @p15 (forall @t14 (or (tptp.defined @t15) @t13))) % 158.23/158.58 (assume @p16 (forall @t36 (or (tptp.defined @t37) @t13 @t34))) % 158.23/158.58 (assume @p17 (tptp.defined tptp.multiplicative_identity)) % 158.23/158.58 (assume @p18 (forall @t14 (or (tptp.defined @t23) @t13 @t22))) % 158.23/158.58 (assume @p19 (forall @t36 (or (tptp.sum @t8 @t6 @t35) @t13 @t34))) % 158.23/158.58 (assume @p20 (forall @t36 (or (tptp.product @t8 @t6 @t37) @t13 @t34))) % 158.23/158.58 (assume @p21 (forall @t36 (or (tptp.sum tptp.additive_identity @t8 @t6) @t40 (not @t38)))) % 158.23/158.58 (assume @p22 (forall (@list @t8 @t2 @t6) (or (tptp.less_or_equal @t8 @t2) @t40 (not (tptp.less_or_equal @t6 @t2))))) % 158.23/158.58 (assume @p23 (forall @t36 (or @t39 @t38 @t13 @t34))) % 158.23/158.58 (assume @p24 (forall (@list @t3 @t5 @t8 @t6 @t2) (or (tptp.less_or_equal @t3 @t5) @t40 (not (tptp.sum @t8 @t2 @t3)) @t7))) % 158.23/158.58 (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))) % 158.23/158.58 (assume @p26 (not (tptp.sum tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity))) % 158.23/158.58 (assume @p27 @t41) % 158.23/158.58 (assume @p28 @t42) % 158.23/158.58 (assume @p29 @t43) % 158.23/158.58 (assume @p30 @t44) % 158.23/158.58 (assume @p31 (not @t45)) % 158.23/158.58 (assume @p32 (not @t46)) % 158.23/158.58 (assume @p33 @t50) % 158.23/158.58 (assume @p34 (not @t52)) % 158.23/158.58 (step @p35 :rule instantiate :premises (@p6) :args ((@list tptp.b @t48 tptp.a @t49 tptp.multiplicative_identity tptp.a))) % 158.23/158.58 (step @p36 :rule instantiate :premises (@p10) :args ((@list tptp.b @t49 tptp.multiplicative_identity))) % 158.23/158.58 (step @p37 :rule instantiate :premises (@p9) :args ((@list tptp.b))) % 158.23/158.58 (step @p38 :rule cnf_or_pos :args (@t55)) % 158.23/158.58 (step @p39 :rule reordering :premises (@p38) :args ((or @t45 @t53 @t54 (not @t55)))) % 158.23/158.58 (step @p40 :rule chain_m_resolution :premises (@p39 @p31 @p28 @p37) :args (@t54 @t56 (@list @t45 @t42 @t55))) % 158.23/158.58 (step @p41 :rule cnf_or_pos :args (@t59)) % 158.23/158.58 (step @p42 :rule reordering :premises (@p41) :args ((or @t57 @t58 (not @t59)))) % 158.23/158.58 (step @p43 :rule chain_m_resolution :premises (@p42 @p40 @p36) :args (@t58 @t60 (@list @t54 @t59))) % 158.23/158.58 (step @p44 :rule instantiate :premises (@p10) :args ((@list @t49 tptp.a @t48))) % 158.23/158.58 (step @p45 :rule cnf_or_pos :args (@t63)) % 158.23/158.58 (step @p46 :rule reordering :premises (@p45) :args ((or @t61 @t62 (not @t63)))) % 158.23/158.58 (step @p47 :rule chain_m_resolution :premises (@p46 @p33 @p44) :args (@t62 @t60 (@list @t50 @t63))) % 158.23/158.58 (step @p48 :rule instantiate :premises (@p8) :args ((@list tptp.a))) % 158.23/158.58 (step @p49 :rule cnf_or_pos :args (@t66)) % 158.23/158.58 (step @p50 :rule reordering :premises (@p49) :args ((or @t64 @t65 (not @t66)))) % 158.23/158.58 (step @p51 :rule chain_m_resolution :premises (@p50 @p27 @p48) :args (@t65 @t60 (@list @t41 @t66))) % 158.23/158.58 (step @p52 :rule cnf_or_pos :args (@t71)) % 158.23/158.58 (step @p53 :rule reordering :premises (@p52) :args ((or @t67 @t68 @t69 @t70 (not @t71)))) % 158.23/158.58 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p47 @p43 @p35) :args (@t70 (@list false false false false) (@list @t65 @t62 @t58 @t71))) % 158.23/158.58 (step @p55 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.d @t51 @t51 @t47 tptp.multiplicative_identity))) % 158.23/158.58 (step @p56 :rule instantiate :premises (@p10) :args ((@list @t51 tptp.multiplicative_identity @t51))) % 158.23/158.58 (step @p57 :rule instantiate :premises (@p8) :args ((@list @t51))) % 158.23/158.58 (step @p58 :rule instantiate :premises (@p16) :args (@t72)) % 158.23/158.58 (step @p59 :rule cnf_or_pos :args (@t75)) % 158.23/158.58 (step @p60 :rule reordering :premises (@p59) :args ((or @t53 @t73 @t74 (not @t75)))) % 158.23/158.58 (step @p61 :rule chain_m_resolution :premises (@p60 @p28 @p29 @p58) :args (@t74 @t76 (@list @t42 @t43 @t75))) % 158.23/158.58 (step @p62 :rule cnf_or_pos :args (@t79)) % 158.23/158.58 (step @p63 :rule reordering :premises (@p62) :args ((or @t77 @t78 (not @t79)))) % 158.23/158.58 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p57) :args (@t78 @t60 (@list @t74 @t79))) % 158.23/158.58 (step @p65 :rule cnf_or_pos :args (@t82)) % 158.23/158.58 (step @p66 :rule reordering :premises (@p65) :args ((or @t80 @t81 (not @t82)))) % 158.23/158.58 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p56) :args (@t81 @t60 (@list @t78 @t82))) % 158.23/158.58 (step @p68 :rule instantiate :premises (@p9) :args (@t83)) % 158.23/158.58 (step @p69 :rule cnf_or_pos :args (@t86)) % 158.23/158.58 (step @p70 :rule reordering :premises (@p69) :args ((or @t46 @t84 @t85 (not @t86)))) % 158.23/158.58 (step @p71 :rule chain_m_resolution :premises (@p70 @p32 @p30 @p68) :args (@t85 @t56 (@list @t46 @t44 @t86))) % 158.23/158.58 (step @p72 :rule cnf_or_pos :args (@t91)) % 158.23/158.58 (step @p73 :rule reordering :premises (@p72) :args ((or @t52 @t88 @t87 @t90 (not @t91)))) % 158.23/158.58 (step @p74 :rule chain_m_resolution :premises (@p73 @p34 @p71 @p67 @p55) :args (@t90 (@list true false false false) (@list @t52 @t85 @t81 @t91))) % 158.23/158.58 (step @p75 :rule instantiate :premises (@p20) :args ((@list tptp.c @t47))) % 158.23/158.58 (step @p76 :rule instantiate :premises (@p18) :args (@t83)) % 158.23/158.58 (step @p77 :rule cnf_or_pos :args (@t93)) % 158.23/158.58 (step @p78 :rule reordering :premises (@p77) :args ((or @t46 @t84 @t92 (not @t93)))) % 158.23/158.58 (step @p79 :rule chain_m_resolution :premises (@p78 @p32 @p30 @p76) :args (@t92 @t56 (@list @t46 @t44 @t93))) % 158.23/158.58 (step @p80 :rule cnf_or_pos :args (@t96)) % 158.23/158.58 (step @p81 :rule reordering :premises (@p80) :args ((or @t73 @t94 @t95 (not @t96)))) % 158.23/158.58 (step @p82 :rule chain_m_resolution :premises (@p81 @p29 @p79 @p75) :args (@t95 @t76 (@list @t43 @t92 @t96))) % 158.23/158.58 (step @p83 :rule instantiate :premises (@p20) :args (@t72)) % 158.23/158.58 (step @p84 :rule cnf_or_pos :args (@t98)) % 158.23/158.58 (step @p85 :rule reordering :premises (@p84) :args ((or @t53 @t73 @t97 (not @t98)))) % 158.23/158.58 (step @p86 :rule chain_m_resolution :premises (@p85 @p28 @p29 @p83) :args (@t97 @t76 (@list @t42 @t43 @t98))) % 158.23/158.58 (step @p87 :rule cnf_or_pos :args (@t102)) % 158.23/158.58 (step @p88 :rule reordering :premises (@p87) :args ((or @t101 @t100 @t89 @t99 @t103))) % 158.23/158.58 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p82 @p74 @p54) :args (@t103 (@list false false true false) (@list @t97 @t95 @t89 @t70))) % 158.23/158.58 (assume-push @p96 @t21) % 158.23/158.58 (step @p91 :rule instantiate :premises (@p7) :args ((@list @t51 @t47 tptp.a tptp.b tptp.c @t48))) % 158.23/158.58 (step-pop @p97 :rule scope :premises (@p91)) % 158.23/158.58 (step @p92 :rule process_scope :premises (@p97) :args (@t102)) % 158.23/158.58 (step @p94 :rule implies_elim :premises (@p92)) % 158.23/158.58 (step @p95 false :rule chain_m_resolution :premises (@p94 @p89 @p7) :args (false (@list true false) (@list @t102 @t21))) % 158.23/158.58 ) % 158.23/158.58 % SZS output end Proof % 158.23/158.58 % cvc5 exiting %------------------------------------------------------------------------------