%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA002-2 : TPTP v9.2.1. Bugfixed v1.0.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:06:29 AM UTC 2026 % Result : Unsatisfiable 27.97s 28.17s % Output : Proof 27.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ANA002-2 : TPTP v9.2.1. Bugfixed v1.0.1. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n013.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Wed Jun 3 02:13:45 EDT 2026 % 0.15/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.41/15.63 --- Run --no-e-matching --full-saturate-quant at 6... % 21.41/21.67 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.54/27.70 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.97/28.17 % SZS status Unsatisfiable % 27.97/28.17 % SZS output start Proof % 27.97/28.17 ( % 27.97/28.17 (declare-sort $$unsorted 0) % 27.97/28.17 (declare-const tptp.l $$unsorted) % 27.97/28.17 (declare-const tptp.k (-> $$unsorted $$unsorted)) % 27.97/28.17 (declare-const tptp.lower_bound $$unsorted) % 27.97/28.17 (declare-const tptp.upper_bound $$unsorted) % 27.97/28.17 (declare-const tptp.g (-> $$unsorted $$unsorted)) % 27.97/28.17 (declare-const tptp.n0 $$unsorted) % 27.97/28.17 (declare-const tptp.q (-> $$unsorted $$unsorted $$unsorted)) % 27.97/28.17 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 27.97/28.17 (declare-const tptp.in_interval (-> $$unsorted $$unsorted $$unsorted Bool)) % 27.97/28.17 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 27.97/28.17 (declare-const tptp.less_than_or_equal (-> $$unsorted $$unsorted Bool)) % 27.97/28.17 (define @t1 () (@var "Upper" $$unsorted)) % 27.97/28.17 (define @t2 () (@var "X" $$unsorted)) % 27.97/28.17 (define @t3 () (@var "Lower" $$unsorted)) % 27.97/28.17 (define @t4 () (@list @t2)) % 27.97/28.17 (define @t5 () (@var "Y" $$unsorted)) % 27.97/28.17 (define @t6 () (tptp.less_than_or_equal @t5 @t2)) % 27.97/28.17 (define @t7 () (tptp.less_than_or_equal @t2 @t5)) % 27.97/28.17 (define @t8 () (@list @t2 @t5)) % 27.97/28.17 (define @t9 () (@var "Z" $$unsorted)) % 27.97/28.17 (define @t10 () (not @t7)) % 27.97/28.17 (define @t11 () (not (tptp.in_interval tptp.lower_bound @t2 tptp.upper_bound))) % 27.97/28.17 (define @t12 () (tptp.h @t2)) % 27.97/28.17 (define @t13 () (tptp.f @t2)) % 27.97/28.17 (define @t14 () (tptp.less_than_or_equal @t13 tptp.n0)) % 27.97/28.17 (define @t15 () (tptp.f @t5)) % 27.97/28.17 (define @t16 () (tptp.k @t2)) % 27.97/28.17 (define @t17 () (tptp.less_than_or_equal tptp.n0 @t13)) % 27.97/28.17 (define @t18 () (tptp.less_than_or_equal tptp.l @t2)) % 27.97/28.17 (define @t19 () (tptp.g @t2)) % 27.97/28.17 (define @t20 () (tptp.less_than_or_equal tptp.lower_bound tptp.upper_bound)) % 27.97/28.17 (define @t21 () (tptp.less_than_or_equal (tptp.f tptp.lower_bound) tptp.n0)) % 27.97/28.17 (define @t22 () (tptp.less_than_or_equal tptp.n0 (tptp.f tptp.upper_bound))) % 27.97/28.17 (define @t23 () (tptp.f tptp.l)) % 27.97/28.17 (define @t24 () (tptp.in_interval @t23 tptp.n0 @t23)) % 27.97/28.17 (define @t25 () (@list tptp.upper_bound)) % 27.97/28.17 (define @t26 () (tptp.less_than_or_equal tptp.l tptp.upper_bound)) % 27.97/28.17 (define @t27 () (tptp.less_than_or_equal (tptp.g tptp.upper_bound) tptp.upper_bound)) % 27.97/28.17 (define @t28 () (not @t27)) % 27.97/28.17 (define @t29 () (or @t28 @t26)) % 27.97/28.17 (define @t30 () (or @t27 @t26)) % 27.97/28.17 (define @t31 () (not @t21)) % 27.97/28.17 (define @t32 () (not @t20)) % 27.97/28.17 (define @t33 () (tptp.less_than_or_equal tptp.lower_bound tptp.l)) % 27.97/28.17 (define @t34 () (or @t33 @t32 @t31)) % 27.97/28.17 (define @t35 () (@list false false false)) % 27.97/28.17 (define @t36 () (not @t26)) % 27.97/28.17 (define @t37 () (not @t33)) % 27.97/28.17 (define @t38 () (tptp.in_interval tptp.lower_bound tptp.l tptp.upper_bound)) % 27.97/28.17 (define @t39 () (or @t38 @t37 @t36)) % 27.97/28.17 (define @t40 () (@list tptp.l)) % 27.97/28.17 (define @t41 () (not @t38)) % 27.97/28.17 (define @t42 () (tptp.k tptp.l)) % 27.97/28.17 (define @t43 () (tptp.less_than_or_equal @t42 tptp.l)) % 27.97/28.17 (define @t44 () (not @t43)) % 27.97/28.17 (define @t45 () (tptp.less_than_or_equal tptp.n0 @t23)) % 27.97/28.17 (define @t46 () (or @t45 @t44 @t41)) % 27.97/28.17 (define @t47 () (tptp.less_than_or_equal @t42 tptp.upper_bound)) % 27.97/28.17 (define @t48 () (not @t22)) % 27.97/28.17 (define @t49 () (or @t45 @t36 @t48 @t47 @t41)) % 27.97/28.17 (define @t50 () (tptp.q tptp.l @t42)) % 27.97/28.17 (define @t51 () (tptp.less_than_or_equal @t42 @t50)) % 27.97/28.17 (define @t52 () (not @t51)) % 27.97/28.17 (define @t53 () (or @t52 @t43)) % 27.97/28.17 (define @t54 () (tptp.less_than_or_equal @t50 tptp.l)) % 27.97/28.17 (define @t55 () (not @t54)) % 27.97/28.17 (define @t56 () (or @t55 @t43)) % 27.97/28.17 (define @t57 () (tptp.less_than_or_equal @t50 @t42)) % 27.97/28.17 (define @t58 () (or @t51 @t57)) % 27.97/28.17 (define @t59 () (tptp.less_than_or_equal tptp.l @t50)) % 27.97/28.17 (define @t60 () (or @t54 @t59)) % 27.97/28.17 (define @t61 () (not @t47)) % 27.97/28.17 (define @t62 () (not @t57)) % 27.97/28.17 (define @t63 () (tptp.less_than_or_equal @t50 tptp.upper_bound)) % 27.97/28.17 (define @t64 () (or @t63 @t62 @t61)) % 27.97/28.17 (define @t65 () (tptp.f @t50)) % 27.97/28.17 (define @t66 () (tptp.less_than_or_equal tptp.n0 @t65)) % 27.97/28.17 (define @t67 () (not @t66)) % 27.97/28.17 (define @t68 () (not @t59)) % 27.97/28.17 (define @t69 () (or @t45 @t68 @t67 @t51 @t41)) % 27.97/28.17 (define @t70 () (tptp.less_than_or_equal @t65 tptp.n0)) % 27.97/28.17 (define @t71 () (not @t70)) % 27.97/28.17 (define @t72 () (not @t63)) % 27.97/28.17 (define @t73 () (or @t54 @t72 @t71)) % 27.97/28.17 (define @t74 () (or @t66 @t70)) % 27.97/28.17 (define @t75 () (not @t45)) % 27.97/28.17 (define @t76 () (tptp.less_than_or_equal @t23 tptp.n0)) % 27.97/28.17 (define @t77 () (not @t76)) % 27.97/28.17 (define @t78 () (or @t24 @t77 @t75)) % 27.97/28.17 (define @t79 () (@list true false false)) % 27.97/28.17 (define @t80 () (tptp.h tptp.l)) % 27.97/28.17 (define @t81 () (@list @t80)) % 27.97/28.17 (define @t82 () (tptp.less_than_or_equal tptp.l @t80)) % 27.97/28.17 (define @t83 () (not @t82)) % 27.97/28.17 (define @t84 () (or @t76 @t83 @t41)) % 27.97/28.17 (define @t85 () (tptp.g @t80)) % 27.97/28.17 (define @t86 () (tptp.less_than_or_equal (tptp.f @t85) tptp.n0)) % 27.97/28.17 (define @t87 () (or @t86 @t82)) % 27.97/28.17 (define @t88 () (@list true false)) % 27.97/28.17 (define @t89 () (tptp.less_than_or_equal @t85 @t80)) % 27.97/28.17 (define @t90 () (not @t89)) % 27.97/28.17 (define @t91 () (or @t90 @t82)) % 27.97/28.17 (define @t92 () (tptp.less_than_or_equal @t85 tptp.upper_bound)) % 27.97/28.17 (define @t93 () (or @t92 @t82)) % 27.97/28.17 (define @t94 () (not @t86)) % 27.97/28.17 (define @t95 () (not @t92)) % 27.97/28.17 (define @t96 () (tptp.less_than_or_equal @t85 tptp.l)) % 27.97/28.17 (define @t97 () (or @t96 @t95 @t94)) % 27.97/28.17 (define @t98 () (not @t96)) % 27.97/28.17 (define @t99 () (or @t76 @t98 @t94 @t89 @t41)) % 27.97/28.17 (assume @p1 (forall (@list @t3 @t2 @t1) (or (tptp.in_interval @t3 @t2 @t1) (not (tptp.less_than_or_equal @t3 @t2)) (not (tptp.less_than_or_equal @t2 @t1))))) % 27.97/28.17 (assume @p2 (forall @t4 (tptp.less_than_or_equal @t2 @t2))) % 27.97/28.17 (assume @p3 (forall @t8 (or @t7 @t6))) % 27.97/28.17 (assume @p4 (forall (@list @t2 @t9 @t5) (or (tptp.less_than_or_equal @t2 @t9) @t10 (not (tptp.less_than_or_equal @t5 @t9))))) % 27.97/28.17 (assume @p5 (forall @t8 (or (not (tptp.less_than_or_equal @t2 (tptp.q @t5 @t2))) @t7))) % 27.97/28.17 (assume @p6 (forall @t8 (or (not (tptp.less_than_or_equal (tptp.q @t2 @t5) @t2)) @t6))) % 27.97/28.17 (assume @p7 (forall @t4 (or @t14 (not (tptp.less_than_or_equal @t2 @t12)) @t11))) % 27.97/28.17 (assume @p8 (forall @t8 (or @t14 (not @t6) (not (tptp.less_than_or_equal @t15 tptp.n0)) (tptp.less_than_or_equal @t5 @t12) @t11))) % 27.97/28.17 (assume @p9 (forall @t4 (or @t17 (not (tptp.less_than_or_equal @t16 @t2)) @t11))) % 27.97/28.17 (assume @p10 (forall @t8 (or @t17 @t10 (not (tptp.less_than_or_equal tptp.n0 @t15)) (tptp.less_than_or_equal @t16 @t5) @t11))) % 27.97/28.17 (assume @p11 (forall @t4 (or (tptp.less_than_or_equal @t2 tptp.l) (not (tptp.less_than_or_equal @t2 tptp.upper_bound)) (not @t14)))) % 27.97/28.17 (assume @p12 (forall @t4 (or (tptp.less_than_or_equal @t19 tptp.upper_bound) @t18))) % 27.97/28.17 (assume @p13 (forall @t4 (or (tptp.less_than_or_equal (tptp.f @t19) tptp.n0) @t18))) % 27.97/28.17 (assume @p14 (forall @t4 (or (not (tptp.less_than_or_equal @t19 @t2)) @t18))) % 27.97/28.17 (assume @p15 @t20) % 27.97/28.17 (assume @p16 @t21) % 27.97/28.17 (assume @p17 @t22) % 27.97/28.17 (assume @p18 (not @t24)) % 27.97/28.17 (step @p19 :rule instantiate :premises (@p1) :args ((@list @t23 tptp.n0 @t23))) % 27.97/28.17 (step @p20 :rule instantiate :premises (@p1) :args ((@list tptp.lower_bound tptp.l tptp.upper_bound))) % 27.97/28.17 (step @p21 :rule instantiate :premises (@p14) :args (@t25)) % 27.97/28.17 (step @p22 :rule cnf_or_pos :args (@t29)) % 27.97/28.17 (step @p23 :rule reordering :premises (@p22) :args ((or @t26 @t28 (not @t29)))) % 27.97/28.17 (step @p24 :rule instantiate :premises (@p12) :args (@t25)) % 27.97/28.17 (step @p25 :rule cnf_or_pos :args (@t30)) % 27.97/28.17 (step @p26 :rule reordering :premises (@p25) :args ((or @t26 @t27 (not @t30)))) % 27.97/28.17 (step @p27 :rule chain_m_resolution :premises (@p26 @p24 @p23 @p21) :args (@t26 (@list false true false) (@list @t30 @t27 @t29))) % 27.97/28.17 (step @p28 :rule instantiate :premises (@p11) :args ((@list tptp.lower_bound))) % 27.97/28.17 (step @p29 :rule cnf_or_pos :args (@t34)) % 27.97/28.17 (step @p30 :rule reordering :premises (@p29) :args ((or @t32 @t31 @t33 (not @t34)))) % 27.97/28.17 (step @p31 :rule chain_m_resolution :premises (@p30 @p15 @p16 @p28) :args (@t33 @t35 (@list @t20 @t21 @t34))) % 27.97/28.17 (step @p32 :rule cnf_or_pos :args (@t39)) % 27.97/28.17 (step @p33 :rule reordering :premises (@p32) :args ((or @t37 @t38 @t36 (not @t39)))) % 27.97/28.17 (step @p34 :rule chain_m_resolution :premises (@p33 @p31 @p27 @p20) :args (@t38 @t35 (@list @t33 @t26 @t39))) % 27.97/28.17 (step @p35 :rule instantiate :premises (@p9) :args (@t40)) % 27.97/28.17 (step @p36 :rule cnf_or_pos :args (@t46)) % 27.97/28.17 (step @p37 :rule reordering :premises (@p36) :args ((or @t41 @t45 @t44 (not @t46)))) % 27.97/28.17 (step @p38 :rule instantiate :premises (@p10) :args ((@list tptp.l tptp.upper_bound))) % 27.97/28.17 (step @p39 :rule cnf_or_pos :args (@t49)) % 27.97/28.17 (step @p40 :rule reordering :premises (@p39) :args ((or @t48 @t41 @t36 @t45 @t47 (not @t49)))) % 27.97/28.17 (step @p41 :rule instantiate :premises (@p5) :args ((@list @t42 tptp.l))) % 27.97/28.17 (step @p42 :rule cnf_or_pos :args (@t53)) % 27.97/28.17 (step @p43 :rule reordering :premises (@p42) :args ((or @t43 @t52 (not @t53)))) % 27.97/28.17 (step @p44 :rule instantiate :premises (@p6) :args ((@list tptp.l @t42))) % 27.97/28.17 (step @p45 :rule cnf_or_pos :args (@t56)) % 27.97/28.17 (step @p46 :rule reordering :premises (@p45) :args ((or @t43 @t55 (not @t56)))) % 27.97/28.17 (step @p47 :rule instantiate :premises (@p3) :args ((@list @t42 @t50))) % 27.97/28.17 (step @p48 :rule cnf_or_pos :args (@t58)) % 27.97/28.17 (step @p49 :rule reordering :premises (@p48) :args ((or @t51 @t57 (not @t58)))) % 27.97/28.17 (step @p50 :rule instantiate :premises (@p3) :args ((@list @t50 tptp.l))) % 27.97/28.17 (step @p51 :rule cnf_or_pos :args (@t60)) % 27.97/28.17 (step @p52 :rule reordering :premises (@p51) :args ((or @t54 @t59 (not @t60)))) % 27.97/28.17 (step @p53 :rule instantiate :premises (@p4) :args ((@list @t50 tptp.upper_bound @t42))) % 27.97/28.17 (step @p54 :rule cnf_or_pos :args (@t64)) % 27.97/28.17 (step @p55 :rule reordering :premises (@p54) :args ((or @t61 @t62 @t63 (not @t64)))) % 27.97/28.17 (step @p56 :rule instantiate :premises (@p10) :args ((@list tptp.l @t50))) % 27.97/28.17 (step @p57 :rule cnf_or_pos :args (@t69)) % 27.97/28.17 (step @p58 :rule reordering :premises (@p57) :args ((or @t41 @t45 @t51 @t68 @t67 (not @t69)))) % 27.97/28.17 (step @p59 :rule instantiate :premises (@p11) :args ((@list @t50))) % 27.97/28.17 (step @p60 :rule cnf_or_pos :args (@t73)) % 27.97/28.17 (step @p61 :rule reordering :premises (@p60) :args ((or @t54 @t71 @t72 (not @t73)))) % 27.97/28.17 (step @p62 :rule instantiate :premises (@p3) :args ((@list tptp.n0 @t65))) % 27.97/28.17 (step @p63 :rule cnf_or_pos :args (@t74)) % 27.97/28.17 (step @p64 :rule reordering :premises (@p63) :args ((or @t70 @t66 (not @t74)))) % 27.97/28.17 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p61 @p59 @p58 @p56 @p55 @p53 @p52 @p50 @p49 @p47 @p46 @p44 @p43 @p41 @p40 @p38 @p27 @p17 @p37 @p35) :args ((or @t41 @t45) (@list false true false true false false false false false false false true false true false false false false false true false) (@list @t74 @t70 @t73 @t66 @t69 @t63 @t64 @t59 @t60 @t57 @t58 @t54 @t56 @t51 @t53 @t47 @t49 @t26 @t22 @t43 @t46))) % 27.97/28.17 (step @p66 :rule chain_m_resolution :premises (@p65 @p34) :args (@t45 (@list false) (@list @t38))) % 27.97/28.17 (step @p67 :rule cnf_or_pos :args (@t78)) % 27.97/28.17 (step @p68 :rule reordering :premises (@p67) :args ((or @t24 @t77 @t75 (not @t78)))) % 27.97/28.17 (step @p69 :rule chain_m_resolution :premises (@p68 @p18 @p66 @p19) :args (@t77 @t79 (@list @t24 @t45 @t78))) % 27.97/28.17 (step @p70 :rule instantiate :premises (@p13) :args (@t81)) % 27.97/28.17 (step @p71 :rule instantiate :premises (@p7) :args (@t40)) % 27.97/28.17 (step @p72 :rule cnf_or_pos :args (@t84)) % 27.97/28.17 (step @p73 :rule reordering :premises (@p72) :args ((or @t76 @t83 @t41 (not @t84)))) % 27.97/28.17 (step @p74 :rule chain_m_resolution :premises (@p73 @p69 @p34 @p71) :args (@t83 @t79 (@list @t76 @t38 @t84))) % 27.97/28.17 (step @p75 :rule cnf_or_pos :args (@t87)) % 27.97/28.17 (step @p76 :rule reordering :premises (@p75) :args ((or @t82 @t86 (not @t87)))) % 27.97/28.17 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p70) :args (@t86 @t88 (@list @t82 @t87))) % 27.97/28.17 (step @p78 :rule instantiate :premises (@p8) :args ((@list tptp.l @t85))) % 27.97/28.17 (step @p79 :rule instantiate :premises (@p14) :args (@t81)) % 27.97/28.17 (step @p80 :rule cnf_or_pos :args (@t91)) % 27.97/28.17 (step @p81 :rule reordering :premises (@p80) :args ((or @t82 @t90 (not @t91)))) % 27.97/28.17 (step @p82 :rule chain_m_resolution :premises (@p81 @p74 @p79) :args (@t90 @t88 (@list @t82 @t91))) % 27.97/28.17 (step @p83 :rule instantiate :premises (@p11) :args ((@list @t85))) % 27.97/28.17 (step @p84 :rule instantiate :premises (@p12) :args (@t81)) % 27.97/28.17 (step @p85 :rule cnf_or_pos :args (@t93)) % 27.97/28.17 (step @p86 :rule reordering :premises (@p85) :args ((or @t82 @t92 (not @t93)))) % 27.97/28.17 (step @p87 :rule chain_m_resolution :premises (@p86 @p74 @p84) :args (@t92 @t88 (@list @t82 @t93))) % 27.97/28.17 (step @p88 :rule cnf_or_pos :args (@t97)) % 27.97/28.17 (step @p89 :rule reordering :premises (@p88) :args ((or @t94 @t95 @t96 (not @t97)))) % 27.97/28.17 (step @p90 :rule chain_m_resolution :premises (@p89 @p77 @p87 @p83) :args (@t96 @t35 (@list @t86 @t92 @t97))) % 27.97/28.17 (step @p91 :rule cnf_or_pos :args (@t99)) % 27.97/28.17 (step @p92 :rule reordering :premises (@p91) :args ((or @t76 @t41 @t94 @t89 @t98 (not @t99)))) % 27.97/28.17 (step @p93 false :rule chain_m_resolution :premises (@p92 @p90 @p82 @p78 @p77 @p34 @p69) :args (false (@list false true false false false true) (@list @t96 @t89 @t99 @t86 @t38 @t76))) % 27.97/28.17 ) % 27.97/28.18 % SZS output end Proof % 27.97/28.18 % cvc5 exiting %------------------------------------------------------------------------------