%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA002-4 : TPTP v9.2.1. Released v1.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n027.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 27.57s 27.85s % Output : Proof 27.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ANA002-4 : TPTP v9.2.1. Released v1.1.0. % 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 : n027.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 : Wed Jun 3 02:14:06 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.43/15.62 --- Run --no-e-matching --full-saturate-quant at 6... % 21.44/21.66 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.55/27.70 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.57/27.85 % SZS status Unsatisfiable % 27.57/27.85 % SZS output start Proof % 27.57/27.86 ( % 27.57/27.86 (declare-sort $$unsorted 0) % 27.57/27.86 (declare-const tptp.l $$unsorted) % 27.57/27.86 (declare-const tptp.k (-> $$unsorted $$unsorted)) % 27.57/27.86 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 27.57/27.86 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 27.57/27.86 (declare-const tptp.lower_bound $$unsorted) % 27.57/27.86 (declare-const tptp.upper_bound $$unsorted) % 27.57/27.86 (declare-const tptp.g (-> $$unsorted $$unsorted)) % 27.57/27.86 (declare-const tptp.n0 $$unsorted) % 27.57/27.86 (declare-const tptp.q (-> $$unsorted $$unsorted $$unsorted)) % 27.57/27.86 (declare-const tptp.less_than_or_equal (-> $$unsorted $$unsorted Bool)) % 27.57/27.86 (define @t1 () (@var "X" $$unsorted)) % 27.57/27.86 (define @t2 () (@list @t1)) % 27.57/27.86 (define @t3 () (@var "Y" $$unsorted)) % 27.57/27.86 (define @t4 () (tptp.less_than_or_equal @t3 @t1)) % 27.57/27.86 (define @t5 () (tptp.less_than_or_equal @t1 @t3)) % 27.57/27.86 (define @t6 () (@list @t1 @t3)) % 27.57/27.86 (define @t7 () (@var "Z" $$unsorted)) % 27.57/27.86 (define @t8 () (not @t5)) % 27.57/27.86 (define @t9 () (forall (@list @t1 @t7 @t3) (or (tptp.less_than_or_equal @t1 @t7) @t8 (not (tptp.less_than_or_equal @t3 @t7))))) % 27.57/27.86 (define @t10 () (not (tptp.less_than_or_equal @t1 tptp.upper_bound))) % 27.57/27.86 (define @t11 () (not (tptp.less_than_or_equal tptp.lower_bound @t1))) % 27.57/27.86 (define @t12 () (tptp.h @t1)) % 27.57/27.86 (define @t13 () (tptp.f @t1)) % 27.57/27.86 (define @t14 () (tptp.less_than_or_equal @t13 tptp.n0)) % 27.57/27.86 (define @t15 () (tptp.f @t3)) % 27.57/27.86 (define @t16 () (tptp.k @t1)) % 27.57/27.86 (define @t17 () (tptp.less_than_or_equal tptp.n0 @t13)) % 27.57/27.86 (define @t18 () (tptp.less_than_or_equal tptp.l @t1)) % 27.57/27.86 (define @t19 () (tptp.g @t1)) % 27.57/27.86 (define @t20 () (tptp.less_than_or_equal tptp.lower_bound tptp.upper_bound)) % 27.57/27.86 (define @t21 () (tptp.less_than_or_equal (tptp.f tptp.lower_bound) tptp.n0)) % 27.57/27.86 (define @t22 () (tptp.less_than_or_equal tptp.n0 (tptp.f tptp.upper_bound))) % 27.57/27.86 (define @t23 () (tptp.f tptp.l)) % 27.57/27.86 (define @t24 () (tptp.less_than_or_equal tptp.n0 @t23)) % 27.57/27.86 (define @t25 () (not @t24)) % 27.57/27.86 (define @t26 () (tptp.less_than_or_equal @t23 tptp.n0)) % 27.57/27.86 (define @t27 () (tptp.k tptp.l)) % 27.57/27.86 (define @t28 () (@list tptp.l)) % 27.57/27.86 (define @t29 () (@list tptp.upper_bound)) % 27.57/27.86 (define @t30 () (tptp.less_than_or_equal tptp.l tptp.upper_bound)) % 27.57/27.86 (define @t31 () (tptp.less_than_or_equal (tptp.g tptp.upper_bound) tptp.upper_bound)) % 27.57/27.86 (define @t32 () (not @t31)) % 27.57/27.86 (define @t33 () (or @t32 @t30)) % 27.57/27.86 (define @t34 () (or @t31 @t30)) % 27.57/27.86 (define @t35 () (not @t21)) % 27.57/27.86 (define @t36 () (not @t20)) % 27.57/27.86 (define @t37 () (tptp.less_than_or_equal tptp.lower_bound tptp.l)) % 27.57/27.86 (define @t38 () (or @t37 @t36 @t35)) % 27.57/27.86 (define @t39 () (not @t30)) % 27.57/27.86 (define @t40 () (not @t37)) % 27.57/27.86 (define @t41 () (tptp.h tptp.l)) % 27.57/27.86 (define @t42 () (tptp.less_than_or_equal tptp.l @t41)) % 27.57/27.86 (define @t43 () (not @t42)) % 27.57/27.86 (define @t44 () (or @t26 @t43 @t40 @t39)) % 27.57/27.86 (define @t45 () (@list @t41)) % 27.57/27.86 (define @t46 () (tptp.g @t41)) % 27.57/27.86 (define @t47 () (tptp.less_than_or_equal (tptp.f @t46) tptp.n0)) % 27.57/27.86 (define @t48 () (or @t47 @t42)) % 27.57/27.86 (define @t49 () (tptp.less_than_or_equal @t46 @t41)) % 27.57/27.86 (define @t50 () (not @t49)) % 27.57/27.86 (define @t51 () (or @t50 @t42)) % 27.57/27.86 (define @t52 () (tptp.less_than_or_equal @t46 tptp.upper_bound)) % 27.57/27.86 (define @t53 () (or @t52 @t42)) % 27.57/27.86 (define @t54 () (not @t47)) % 27.57/27.86 (define @t55 () (tptp.less_than_or_equal @t46 tptp.l)) % 27.57/27.86 (define @t56 () (not @t55)) % 27.57/27.86 (define @t57 () (or @t26 @t56 @t54 @t49 @t40 @t39)) % 27.57/27.86 (define @t58 () (not @t52)) % 27.57/27.86 (define @t59 () (or @t55 @t58 @t54)) % 27.57/27.86 (define @t60 () (tptp.less_than_or_equal @t27 tptp.l)) % 27.57/27.86 (define @t61 () (not @t60)) % 27.57/27.86 (define @t62 () (or @t24 @t61 @t40 @t39)) % 27.57/27.86 (define @t63 () (tptp.q tptp.l @t27)) % 27.57/27.86 (define @t64 () (tptp.less_than_or_equal @t27 @t63)) % 27.57/27.86 (define @t65 () (not @t64)) % 27.57/27.86 (define @t66 () (or @t65 @t60)) % 27.57/27.86 (define @t67 () (@list true false)) % 27.57/27.86 (define @t68 () (tptp.f @t63)) % 27.57/27.86 (define @t69 () (tptp.less_than_or_equal @t63 tptp.l)) % 27.57/27.86 (define @t70 () (not @t69)) % 27.57/27.86 (define @t71 () (or @t70 @t60)) % 27.57/27.86 (define @t72 () (tptp.less_than_or_equal tptp.l @t63)) % 27.57/27.86 (define @t73 () (or @t69 @t72)) % 27.57/27.86 (define @t74 () (tptp.less_than_or_equal tptp.n0 @t68)) % 27.57/27.86 (define @t75 () (not @t74)) % 27.57/27.86 (define @t76 () (not @t72)) % 27.57/27.86 (define @t77 () (or @t24 @t76 @t75 @t64 @t40 @t39)) % 27.57/27.86 (define @t78 () (tptp.less_than_or_equal @t68 tptp.n0)) % 27.57/27.86 (define @t79 () (or @t74 @t78)) % 27.57/27.86 (define @t80 () (not @t78)) % 27.57/27.86 (define @t81 () (tptp.less_than_or_equal @t63 tptp.upper_bound)) % 27.57/27.86 (define @t82 () (not @t81)) % 27.57/27.86 (define @t83 () (or @t69 @t82 @t80)) % 27.57/27.86 (define @t84 () (tptp.less_than_or_equal tptp.upper_bound @t63)) % 27.57/27.86 (define @t85 () (or @t81 @t84)) % 27.57/27.86 (define @t86 () (tptp.less_than_or_equal @t27 tptp.upper_bound)) % 27.57/27.86 (define @t87 () (not @t22)) % 27.57/27.86 (define @t88 () (or @t24 @t39 @t87 @t86 @t40 @t39)) % 27.57/27.86 (define @t89 () (not @t84)) % 27.57/27.86 (define @t90 () (not @t86)) % 27.57/27.86 (define @t91 () (or @t64 @t90 @t89)) % 27.57/27.86 (define @t92 () (not @t91)) % 27.57/27.86 (assume @p1 (forall @t2 (tptp.less_than_or_equal @t1 @t1))) % 27.57/27.86 (assume @p2 (forall @t6 (or @t5 @t4))) % 27.57/27.86 (assume @p3 @t9) % 27.57/27.86 (assume @p4 (forall @t6 (or (not (tptp.less_than_or_equal @t1 (tptp.q @t3 @t1))) @t5))) % 27.57/27.86 (assume @p5 (forall @t6 (or (not (tptp.less_than_or_equal (tptp.q @t1 @t3) @t1)) @t4))) % 27.57/27.86 (assume @p6 (forall @t2 (or @t14 (not (tptp.less_than_or_equal @t1 @t12)) @t11 @t10))) % 27.57/27.86 (assume @p7 (forall @t6 (or @t14 (not @t4) (not (tptp.less_than_or_equal @t15 tptp.n0)) (tptp.less_than_or_equal @t3 @t12) @t11 @t10))) % 27.57/27.86 (assume @p8 (forall @t2 (or @t17 (not (tptp.less_than_or_equal @t16 @t1)) @t11 @t10))) % 27.57/27.86 (assume @p9 (forall @t6 (or @t17 @t8 (not (tptp.less_than_or_equal tptp.n0 @t15)) (tptp.less_than_or_equal @t16 @t3) @t11 @t10))) % 27.57/27.86 (assume @p10 (forall @t2 (or (tptp.less_than_or_equal @t1 tptp.l) @t10 (not @t14)))) % 27.57/27.86 (assume @p11 (forall @t2 (or (tptp.less_than_or_equal @t19 tptp.upper_bound) @t18))) % 27.57/27.86 (assume @p12 (forall @t2 (or (tptp.less_than_or_equal (tptp.f @t19) tptp.n0) @t18))) % 27.57/27.86 (assume @p13 (forall @t2 (or (not (tptp.less_than_or_equal @t19 @t1)) @t18))) % 27.57/27.86 (assume @p14 @t20) % 27.57/27.86 (assume @p15 @t21) % 27.57/27.86 (assume @p16 @t22) % 27.57/27.86 (assume @p17 (or (not @t26) @t25)) % 27.57/27.86 (step @p18 :rule instantiate :premises (@p4) :args ((@list @t27 tptp.l))) % 27.57/27.86 (step @p19 :rule instantiate :premises (@p8) :args (@t28)) % 27.57/27.86 (step @p20 :rule instantiate :premises (@p13) :args (@t29)) % 27.57/27.86 (step @p21 :rule cnf_or_pos :args (@t33)) % 27.57/27.86 (step @p22 :rule reordering :premises (@p21) :args ((or @t30 @t32 (not @t33)))) % 27.57/27.86 (step @p23 :rule instantiate :premises (@p11) :args (@t29)) % 27.57/27.86 (step @p24 :rule cnf_or_pos :args (@t34)) % 27.57/27.86 (step @p25 :rule reordering :premises (@p24) :args ((or @t30 @t31 (not @t34)))) % 27.57/27.86 (step @p26 :rule chain_m_resolution :premises (@p25 @p23 @p22 @p20) :args (@t30 (@list false true false) (@list @t34 @t31 @t33))) % 27.57/27.86 (step @p27 :rule instantiate :premises (@p10) :args ((@list tptp.lower_bound))) % 27.57/27.86 (step @p28 :rule cnf_or_pos :args (@t38)) % 27.57/27.86 (step @p29 :rule reordering :premises (@p28) :args ((or @t36 @t35 @t37 (not @t38)))) % 27.57/27.86 (step @p30 :rule chain_m_resolution :premises (@p29 @p14 @p15 @p27) :args (@t37 (@list false false false) (@list @t20 @t21 @t38))) % 27.57/27.86 (step @p31 :rule instantiate :premises (@p6) :args (@t28)) % 27.57/27.86 (step @p32 :rule cnf_or_pos :args (@t44)) % 27.57/27.86 (step @p33 :rule reordering :premises (@p32) :args ((or @t26 @t40 @t43 @t39 (not @t44)))) % 27.57/27.86 (step @p34 :rule instantiate :premises (@p12) :args (@t45)) % 27.57/27.86 (step @p35 :rule cnf_or_pos :args (@t48)) % 27.57/27.86 (step @p36 :rule reordering :premises (@p35) :args ((or @t42 @t47 (not @t48)))) % 27.57/27.86 (step @p37 :rule instantiate :premises (@p13) :args (@t45)) % 27.57/27.86 (step @p38 :rule cnf_or_pos :args (@t51)) % 27.57/27.86 (step @p39 :rule reordering :premises (@p38) :args ((or @t42 @t50 (not @t51)))) % 27.57/27.86 (step @p40 :rule instantiate :premises (@p11) :args (@t45)) % 27.57/27.86 (step @p41 :rule cnf_or_pos :args (@t53)) % 27.57/27.86 (step @p42 :rule reordering :premises (@p41) :args ((or @t42 @t52 (not @t53)))) % 27.57/27.86 (step @p43 :rule instantiate :premises (@p7) :args ((@list tptp.l @t46))) % 27.57/27.86 (step @p44 :rule cnf_or_pos :args (@t57)) % 27.57/27.86 (step @p45 :rule reordering :premises (@p44) :args ((or @t26 @t40 @t39 @t54 @t56 @t49 (not @t57)))) % 27.57/27.86 (step @p46 :rule instantiate :premises (@p10) :args ((@list @t46))) % 27.57/27.86 (step @p47 :rule cnf_or_pos :args (@t59)) % 27.57/27.86 (step @p48 :rule reordering :premises (@p47) :args ((or @t54 @t55 @t58 (not @t59)))) % 27.57/27.86 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p45 @p43 @p26 @p30 @p42 @p40 @p39 @p37 @p36 @p34 @p33 @p31 @p26 @p30) :args (@t26 (@list false true false false false false false true false false false true false false false) (@list @t59 @t55 @t57 @t30 @t37 @t52 @t53 @t49 @t51 @t47 @t48 @t42 @t44 @t30 @t37))) % 27.57/27.86 (step @p50 :rule chain_m_resolution :premises (@p17 @p49) :args (@t25 (@list false) (@list @t26))) % 27.57/27.86 (step @p51 :rule cnf_or_pos :args (@t62)) % 27.57/27.86 (step @p52 :rule reordering :premises (@p51) :args ((or @t24 @t40 @t39 @t61 (not @t62)))) % 27.57/27.86 (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p30 @p26 @p19) :args (@t61 (@list true false false false) (@list @t24 @t37 @t30 @t62))) % 27.57/27.86 (step @p54 :rule cnf_or_pos :args (@t66)) % 27.57/27.86 (step @p55 :rule reordering :premises (@p54) :args ((or @t60 @t65 (not @t66)))) % 27.57/27.86 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p18) :args (@t65 @t67 (@list @t60 @t66))) % 27.57/27.86 (step @p57 :rule instantiate :premises (@p2) :args ((@list @t63 tptp.upper_bound))) % 27.57/27.86 (step @p58 :rule instantiate :premises (@p10) :args ((@list @t63))) % 27.57/27.86 (step @p59 :rule instantiate :premises (@p2) :args ((@list tptp.n0 @t68))) % 27.57/27.86 (step @p60 :rule instantiate :premises (@p9) :args ((@list tptp.l @t63))) % 27.57/27.86 (step @p61 :rule instantiate :premises (@p2) :args ((@list @t63 tptp.l))) % 27.57/27.86 (step @p62 :rule instantiate :premises (@p5) :args ((@list tptp.l @t27))) % 27.57/27.86 (step @p63 :rule cnf_or_pos :args (@t71)) % 27.57/27.86 (step @p64 :rule reordering :premises (@p63) :args ((or @t60 @t70 (not @t71)))) % 27.57/27.86 (step @p65 :rule chain_m_resolution :premises (@p64 @p53 @p62) :args (@t70 @t67 (@list @t60 @t71))) % 27.57/27.86 (step @p66 :rule cnf_or_pos :args (@t73)) % 27.57/27.86 (step @p67 :rule reordering :premises (@p66) :args ((or @t69 @t72 (not @t73)))) % 27.57/27.86 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p61) :args (@t72 @t67 (@list @t69 @t73))) % 27.57/27.86 (step @p69 :rule cnf_or_pos :args (@t77)) % 27.57/27.86 (step @p70 :rule reordering :premises (@p69) :args ((or @t24 @t40 @t39 @t76 @t75 @t64 (not @t77)))) % 27.57/27.86 (step @p71 :rule chain_m_resolution :premises (@p70 @p50 @p30 @p26 @p68 @p56 @p60) :args (@t75 (@list true false false false true false) (@list @t24 @t37 @t30 @t72 @t64 @t77))) % 27.57/27.86 (step @p72 :rule cnf_or_pos :args (@t79)) % 27.57/27.86 (step @p73 :rule reordering :premises (@p72) :args ((or @t78 @t74 (not @t79)))) % 27.57/27.86 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p59) :args (@t78 @t67 (@list @t74 @t79))) % 27.57/27.86 (step @p75 :rule cnf_or_pos :args (@t83)) % 27.57/27.86 (step @p76 :rule reordering :premises (@p75) :args ((or @t69 @t82 @t80 (not @t83)))) % 27.57/27.86 (step @p77 :rule chain_m_resolution :premises (@p76 @p65 @p74 @p58) :args (@t82 (@list true false false) (@list @t69 @t78 @t83))) % 27.57/27.86 (step @p78 :rule cnf_or_pos :args (@t85)) % 27.57/27.86 (step @p79 :rule reordering :premises (@p78) :args ((or @t81 @t84 (not @t85)))) % 27.57/27.86 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p57) :args (@t84 @t67 (@list @t81 @t85))) % 27.57/27.86 (step @p81 :rule instantiate :premises (@p9) :args ((@list tptp.l tptp.upper_bound))) % 27.57/27.86 (step @p82 :rule cnf_or_pos :args (@t88)) % 27.57/27.86 (step @p83 :rule factoring :premises (@p82)) % 27.57/27.86 (step @p84 :rule reordering :premises (@p83) :args ((or @t24 @t87 @t40 @t39 @t86 (not @t88)))) % 27.57/27.86 (step @p85 :rule chain_m_resolution :premises (@p84 @p50 @p16 @p30 @p26 @p81) :args (@t86 (@list true false false false false) (@list @t24 @t22 @t37 @t30 @t88))) % 27.57/27.86 (step @p86 :rule cnf_or_pos :args (@t91)) % 27.57/27.86 (step @p87 :rule reordering :premises (@p86) :args ((or @t90 @t89 @t64 @t92))) % 27.57/27.86 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p80 @p56) :args (@t92 (@list false false true) (@list @t86 @t84 @t64))) % 27.57/27.86 (assume-push @p95 @t9) % 27.57/27.86 (step @p90 :rule instantiate :premises (@p3) :args ((@list @t27 @t63 tptp.upper_bound))) % 27.57/27.86 (step-pop @p96 :rule scope :premises (@p90)) % 27.57/27.86 (step @p91 :rule process_scope :premises (@p96) :args (@t91)) % 27.57/27.86 (step @p93 :rule implies_elim :premises (@p91)) % 27.57/27.86 (step @p94 false :rule chain_m_resolution :premises (@p93 @p88 @p3) :args (false @t67 (@list @t91 @t9))) % 27.57/27.86 ) % 27.57/27.86 % SZS output end Proof % 27.57/27.86 % cvc5 exiting %------------------------------------------------------------------------------