%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL686+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:56:15 AM UTC 2026
% Result : Theorem 2.97s 1.25s
% Output : Refutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 9
% Syntax : Number of formulae : 40 ( 4 unt; 7 def)
% Number of atoms : 1248 ( 0 equ)
% Maximal formula atoms : 140 ( 31 avg)
% Number of connectives : 2077 ( 869 ~; 706 |; 502 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 57 ( 17 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 281 ( 231 !; 50 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ p15(X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p14(X1)
& ~ p13(X1) )
| ( ~ p14(X1)
& p13(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p13(X0)
& ~ p12(X0) )
| ( ~ p13(X0)
& p12(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p12(X1)
& ~ p11(X1) )
| ( ~ p12(X1)
& p11(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p11(X0)
& ~ p10(X0) )
| ( ~ p11(X0)
& p10(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p10(X1)
& ~ p9(X1) )
| ( ~ p10(X1)
& p9(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p9(X0)
& ~ p8(X0) )
| ( ~ p9(X0)
& p8(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p8(X1)
& ~ p7(X1) )
| ( ~ p8(X1)
& p7(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p7(X0)
& ~ p6(X0) )
| ( ~ p7(X0)
& p6(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p6(X1)
& ~ p5(X1) )
| ( ~ p6(X1)
& p5(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p5(X0)
& ~ p4(X0) )
| ( ~ p5(X0)
& p4(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p4(X1)
& ~ p3(X1) )
| ( ~ p4(X1)
& p3(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p3(X0)
& ~ p2(X0) )
| ( ~ p3(X0)
& p2(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p2(X1)
& ~ p1(X1) )
| ( ~ p2(X1)
& p1(X1) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p15(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| ( ~ p13(X1)
& ~ p14(X1) )
| ( p14(X1)
& p13(X1) )
| ( ~ p12(X1)
& ~ p13(X1) )
| ( p13(X1)
& p12(X1) )
| ( ~ p11(X1)
& ~ p12(X1) )
| ( p12(X1)
& p11(X1) )
| ( ~ p10(X1)
& ~ p11(X1) )
| ( p11(X1)
& p10(X1) )
| ( ~ p9(X1)
& ~ p10(X1) )
| ( p10(X1)
& p9(X1) )
| ( ~ p8(X1)
& ~ p9(X1) )
| ( p9(X1)
& p8(X1) )
| ( ~ p7(X1)
& ~ p8(X1) )
| ( p8(X1)
& p7(X1) )
| ( ~ p6(X1)
& ~ p7(X1) )
| ( p7(X1)
& p6(X1) )
| ( ~ p5(X1)
& ~ p6(X1) )
| ( p6(X1)
& p5(X1) )
| ( ~ p4(X1)
& ~ p5(X1) )
| ( p5(X1)
& p4(X1) )
| ( ~ p3(X1)
& ~ p4(X1) )
| ( p4(X1)
& p3(X1) )
| ( ~ p2(X1)
& ~ p3(X1) )
| ( p3(X1)
& p2(X1) )
| ( ~ p1(X1)
& ~ p2(X1) )
| ( p2(X1)
& p1(X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ p15(X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p14(X1)
& ~ p13(X1) )
| ( ~ p14(X1)
& p13(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p13(X0)
& ~ p12(X0) )
| ( ~ p13(X0)
& p12(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p12(X1)
& ~ p11(X1) )
| ( ~ p12(X1)
& p11(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p11(X0)
& ~ p10(X0) )
| ( ~ p11(X0)
& p10(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p10(X1)
& ~ p9(X1) )
| ( ~ p10(X1)
& p9(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p9(X0)
& ~ p8(X0) )
| ( ~ p9(X0)
& p8(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p8(X1)
& ~ p7(X1) )
| ( ~ p8(X1)
& p7(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p7(X0)
& ~ p6(X0) )
| ( ~ p7(X0)
& p6(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p6(X1)
& ~ p5(X1) )
| ( ~ p6(X1)
& p5(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p5(X0)
& ~ p4(X0) )
| ( ~ p5(X0)
& p4(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p4(X1)
& ~ p3(X1) )
| ( ~ p4(X1)
& p3(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p3(X0)
& ~ p2(X0) )
| ( ~ p3(X0)
& p2(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p2(X1)
& ~ p1(X1) )
| ( ~ p2(X1)
& p1(X1) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p15(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| ( ~ p13(X1)
& ~ p14(X1) )
| ( p14(X1)
& p13(X1) )
| ( ~ p12(X1)
& ~ p13(X1) )
| ( p13(X1)
& p12(X1) )
| ( ~ p11(X1)
& ~ p12(X1) )
| ( p12(X1)
& p11(X1) )
| ( ~ p10(X1)
& ~ p11(X1) )
| ( p11(X1)
& p10(X1) )
| ( ~ p9(X1)
& ~ p10(X1) )
| ( p10(X1)
& p9(X1) )
| ( ~ p8(X1)
& ~ p9(X1) )
| ( p9(X1)
& p8(X1) )
| ( ~ p7(X1)
& ~ p8(X1) )
| ( p8(X1)
& p7(X1) )
| ( ~ p6(X1)
& ~ p7(X1) )
| ( p7(X1)
& p6(X1) )
| ( ~ p5(X1)
& ~ p6(X1) )
| ( p6(X1)
& p5(X1) )
| ( ~ p4(X1)
& ~ p5(X1) )
| ( p5(X1)
& p4(X1) )
| ( ~ p3(X1)
& ~ p4(X1) )
| ( p4(X1)
& p3(X1) )
| ( ~ p2(X1)
& ~ p3(X1) )
| ( p3(X1)
& p2(X1) )
| ( ~ p1(X1)
& ~ p2(X1) )
| ( p2(X1)
& p1(X1) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ p15(X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
| ! [X3] :
( ~ r1(X0,X3)
| ~ ! [X4] :
( ~ r1(X3,X4)
| ~ ( ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| $false )
| ~ ! [X18] :
( ~ r1(X16,X18)
| ~ ( ( p14(X18)
& ~ p13(X18) )
| ( ~ p14(X18)
& p13(X18) ) ) ) )
| ~ ! [X19] :
( ~ r1(X15,X19)
| ~ ( ( p13(X19)
& ~ p12(X19) )
| ( ~ p13(X19)
& p12(X19) ) ) ) )
| ~ ! [X20] :
( ~ r1(X14,X20)
| ~ ( ( p12(X20)
& ~ p11(X20) )
| ( ~ p12(X20)
& p11(X20) ) ) ) )
| ~ ! [X21] :
( ~ r1(X13,X21)
| ~ ( ( p11(X21)
& ~ p10(X21) )
| ( ~ p11(X21)
& p10(X21) ) ) ) )
| ~ ! [X22] :
( ~ r1(X12,X22)
| ~ ( ( p10(X22)
& ~ p9(X22) )
| ( ~ p10(X22)
& p9(X22) ) ) ) )
| ~ ! [X23] :
( ~ r1(X11,X23)
| ~ ( ( p9(X23)
& ~ p8(X23) )
| ( ~ p9(X23)
& p8(X23) ) ) ) )
| ~ ! [X24] :
( ~ r1(X10,X24)
| ~ ( ( p8(X24)
& ~ p7(X24) )
| ( ~ p8(X24)
& p7(X24) ) ) ) )
| ~ ! [X25] :
( ~ r1(X9,X25)
| ~ ( ( p7(X25)
& ~ p6(X25) )
| ( ~ p7(X25)
& p6(X25) ) ) ) )
| ~ ! [X26] :
( ~ r1(X8,X26)
| ~ ( ( p6(X26)
& ~ p5(X26) )
| ( ~ p6(X26)
& p5(X26) ) ) ) )
| ~ ! [X27] :
( ~ r1(X7,X27)
| ~ ( ( p5(X27)
& ~ p4(X27) )
| ( ~ p5(X27)
& p4(X27) ) ) ) )
| ~ ! [X28] :
( ~ r1(X6,X28)
| ~ ( ( p4(X28)
& ~ p3(X28) )
| ( ~ p4(X28)
& p3(X28) ) ) ) )
| ~ ! [X29] :
( ~ r1(X5,X29)
| ~ ( ( p3(X29)
& ~ p2(X29) )
| ( ~ p3(X29)
& p2(X29) ) ) ) )
| ~ ! [X30] :
( ~ r1(X4,X30)
| ~ ( ( p2(X30)
& ~ p1(X30) )
| ( ~ p2(X30)
& p1(X30) ) ) )
| ! [X31] :
( ~ r1(X4,X31)
| p15(X31) )
| ! [X32] :
( ~ r1(X4,X32)
| ( ~ p13(X32)
& ~ p14(X32) )
| ( p14(X32)
& p13(X32) )
| ( ~ p12(X32)
& ~ p13(X32) )
| ( p13(X32)
& p12(X32) )
| ( ~ p11(X32)
& ~ p12(X32) )
| ( p12(X32)
& p11(X32) )
| ( ~ p10(X32)
& ~ p11(X32) )
| ( p11(X32)
& p10(X32) )
| ( ~ p9(X32)
& ~ p10(X32) )
| ( p10(X32)
& p9(X32) )
| ( ~ p8(X32)
& ~ p9(X32) )
| ( p9(X32)
& p8(X32) )
| ( ~ p7(X32)
& ~ p8(X32) )
| ( p8(X32)
& p7(X32) )
| ( ~ p6(X32)
& ~ p7(X32) )
| ( p7(X32)
& p6(X32) )
| ( ~ p5(X32)
& ~ p6(X32) )
| ( p6(X32)
& p5(X32) )
| ( ~ p4(X32)
& ~ p5(X32) )
| ( p5(X32)
& p4(X32) )
| ( ~ p3(X32)
& ~ p4(X32) )
| ( p4(X32)
& p3(X32) )
| ( ~ p2(X32)
& ~ p3(X32) )
| ( p3(X32)
& p2(X32) )
| ( ~ p1(X32)
& ~ p2(X32) )
| ( p2(X32)
& p1(X32) ) ) ) ) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ p15(X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
| ! [X3] :
( ~ r1(X0,X3)
| ~ ! [X4] :
( ~ r1(X3,X4)
| ~ ( ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ! [X17] : ~ r1(X16,X17)
| ~ ! [X18] :
( ~ r1(X16,X18)
| ~ ( ( p14(X18)
& ~ p13(X18) )
| ( ~ p14(X18)
& p13(X18) ) ) ) )
| ~ ! [X19] :
( ~ r1(X15,X19)
| ~ ( ( p13(X19)
& ~ p12(X19) )
| ( ~ p13(X19)
& p12(X19) ) ) ) )
| ~ ! [X20] :
( ~ r1(X14,X20)
| ~ ( ( p12(X20)
& ~ p11(X20) )
| ( ~ p12(X20)
& p11(X20) ) ) ) )
| ~ ! [X21] :
( ~ r1(X13,X21)
| ~ ( ( p11(X21)
& ~ p10(X21) )
| ( ~ p11(X21)
& p10(X21) ) ) ) )
| ~ ! [X22] :
( ~ r1(X12,X22)
| ~ ( ( p10(X22)
& ~ p9(X22) )
| ( ~ p10(X22)
& p9(X22) ) ) ) )
| ~ ! [X23] :
( ~ r1(X11,X23)
| ~ ( ( p9(X23)
& ~ p8(X23) )
| ( ~ p9(X23)
& p8(X23) ) ) ) )
| ~ ! [X24] :
( ~ r1(X10,X24)
| ~ ( ( p8(X24)
& ~ p7(X24) )
| ( ~ p8(X24)
& p7(X24) ) ) ) )
| ~ ! [X25] :
( ~ r1(X9,X25)
| ~ ( ( p7(X25)
& ~ p6(X25) )
| ( ~ p7(X25)
& p6(X25) ) ) ) )
| ~ ! [X26] :
( ~ r1(X8,X26)
| ~ ( ( p6(X26)
& ~ p5(X26) )
| ( ~ p6(X26)
& p5(X26) ) ) ) )
| ~ ! [X27] :
( ~ r1(X7,X27)
| ~ ( ( p5(X27)
& ~ p4(X27) )
| ( ~ p5(X27)
& p4(X27) ) ) ) )
| ~ ! [X28] :
( ~ r1(X6,X28)
| ~ ( ( p4(X28)
& ~ p3(X28) )
| ( ~ p4(X28)
& p3(X28) ) ) ) )
| ~ ! [X29] :
( ~ r1(X5,X29)
| ~ ( ( p3(X29)
& ~ p2(X29) )
| ( ~ p3(X29)
& p2(X29) ) ) ) )
| ~ ! [X30] :
( ~ r1(X4,X30)
| ~ ( ( p2(X30)
& ~ p1(X30) )
| ( ~ p2(X30)
& p1(X30) ) ) )
| ! [X31] :
( ~ r1(X4,X31)
| p15(X31) )
| ! [X32] :
( ~ r1(X4,X32)
| ( ~ p13(X32)
& ~ p14(X32) )
| ( p14(X32)
& p13(X32) )
| ( ~ p12(X32)
& ~ p13(X32) )
| ( p13(X32)
& p12(X32) )
| ( ~ p11(X32)
& ~ p12(X32) )
| ( p12(X32)
& p11(X32) )
| ( ~ p10(X32)
& ~ p11(X32) )
| ( p11(X32)
& p10(X32) )
| ( ~ p9(X32)
& ~ p10(X32) )
| ( p10(X32)
& p9(X32) )
| ( ~ p8(X32)
& ~ p9(X32) )
| ( p9(X32)
& p8(X32) )
| ( ~ p7(X32)
& ~ p8(X32) )
| ( p8(X32)
& p7(X32) )
| ( ~ p6(X32)
& ~ p7(X32) )
| ( p7(X32)
& p6(X32) )
| ( ~ p5(X32)
& ~ p6(X32) )
| ( p6(X32)
& p5(X32) )
| ( ~ p4(X32)
& ~ p5(X32) )
| ( p5(X32)
& p4(X32) )
| ( ~ p3(X32)
& ~ p4(X32) )
| ( p4(X32)
& p3(X32) )
| ( ~ p2(X32)
& ~ p3(X32) )
| ( p3(X32)
& p2(X32) )
| ( ~ p1(X32)
& ~ p2(X32) )
| ( p2(X32)
& p1(X32) ) ) ) ) ) ),
inference(true_and_false_elimination,[],[f5]) ).
fof(f7,plain,
? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ p15(X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
| ! [X3] :
( ~ r1(X0,X3)
| ~ ! [X4] :
( ~ r1(X3,X4)
| ~ ( ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ! [X17] : ~ r1(X16,X17)
| ~ ! [X18] :
( ~ r1(X16,X18)
| ~ ( ( p14(X18)
& ~ p13(X18) )
| ( ~ p14(X18)
& p13(X18) ) ) ) )
| ~ ! [X19] :
( ~ r1(X15,X19)
| ~ ( ( p13(X19)
& ~ p12(X19) )
| ( ~ p13(X19)
& p12(X19) ) ) ) )
| ~ ! [X20] :
( ~ r1(X14,X20)
| ~ ( ( p12(X20)
& ~ p11(X20) )
| ( ~ p12(X20)
& p11(X20) ) ) ) )
| ~ ! [X21] :
( ~ r1(X13,X21)
| ~ ( ( p11(X21)
& ~ p10(X21) )
| ( ~ p11(X21)
& p10(X21) ) ) ) )
| ~ ! [X22] :
( ~ r1(X12,X22)
| ~ ( ( p10(X22)
& ~ p9(X22) )
| ( ~ p10(X22)
& p9(X22) ) ) ) )
| ~ ! [X23] :
( ~ r1(X11,X23)
| ~ ( ( p9(X23)
& ~ p8(X23) )
| ( ~ p9(X23)
& p8(X23) ) ) ) )
| ~ ! [X24] :
( ~ r1(X10,X24)
| ~ ( ( p8(X24)
& ~ p7(X24) )
| ( ~ p8(X24)
& p7(X24) ) ) ) )
| ~ ! [X25] :
( ~ r1(X9,X25)
| ~ ( ( p7(X25)
& ~ p6(X25) )
| ( ~ p7(X25)
& p6(X25) ) ) ) )
| ~ ! [X26] :
( ~ r1(X8,X26)
| ~ ( ( p6(X26)
& ~ p5(X26) )
| ( ~ p6(X26)
& p5(X26) ) ) ) )
| ~ ! [X27] :
( ~ r1(X7,X27)
| ~ ( ( p5(X27)
& ~ p4(X27) )
| ( ~ p5(X27)
& p4(X27) ) ) ) )
| ~ ! [X28] :
( ~ r1(X6,X28)
| ~ ( ( p4(X28)
& ~ p3(X28) )
| ( ~ p4(X28)
& p3(X28) ) ) ) )
| ~ ! [X29] :
( ~ r1(X5,X29)
| ~ ( ( p3(X29)
& ~ p2(X29) )
| ( ~ p3(X29)
& p2(X29) ) ) ) )
| ~ ! [X30] :
( ~ r1(X4,X30)
| ~ ( ( p2(X30)
& ~ p1(X30) )
| ( ~ p2(X30)
& p1(X30) ) ) )
| ! [X31] :
( ~ r1(X4,X31)
| p15(X31) )
| ! [X32] :
( ~ r1(X4,X32)
| ( ~ p13(X32)
& ~ p14(X32) )
| ( p14(X32)
& p13(X32) )
| ( ~ p12(X32)
& ~ p13(X32) )
| ( p13(X32)
& p12(X32) )
| ( ~ p11(X32)
& ~ p12(X32) )
| ( p12(X32)
& p11(X32) )
| ( ~ p10(X32)
& ~ p11(X32) )
| ( p11(X32)
& p10(X32) )
| ( ~ p9(X32)
& ~ p10(X32) )
| ( p10(X32)
& p9(X32) )
| ( ~ p8(X32)
& ~ p9(X32) )
| ( p9(X32)
& p8(X32) )
| ( ~ p7(X32)
& ~ p8(X32) )
| ( p8(X32)
& p7(X32) )
| ( ~ p6(X32)
& ~ p7(X32) )
| ( p7(X32)
& p6(X32) )
| ( ~ p5(X32)
& ~ p6(X32) )
| ( p6(X32)
& p5(X32) )
| ( ~ p4(X32)
& ~ p5(X32) )
| ( p5(X32)
& p4(X32) )
| ( ~ p3(X32)
& ~ p4(X32) )
| ( p4(X32)
& p3(X32) )
| ( ~ p2(X32)
& ~ p3(X32) )
| ( p3(X32)
& p2(X32) )
| ( ~ p1(X32)
& ~ p2(X32) )
| ( p2(X32)
& p1(X32) ) ) ) ) ) ),
inference(flattening,[],[f6]) ).
fof(f10,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& p15(X1)
& ? [X2] :
( r1(X1,X2)
& p1(X2) ) )
& ? [X3] :
( r1(X0,X3)
& ! [X4] :
( ~ r1(X3,X4)
| ( ? [X5] :
( r1(X4,X5)
& ? [X6] :
( r1(X5,X6)
& ? [X7] :
( r1(X6,X7)
& ? [X8] :
( r1(X7,X8)
& ? [X9] :
( r1(X8,X9)
& ? [X10] :
( r1(X9,X10)
& ? [X11] :
( r1(X10,X11)
& ? [X12] :
( r1(X11,X12)
& ? [X13] :
( r1(X12,X13)
& ? [X14] :
( r1(X13,X14)
& ? [X15] :
( r1(X14,X15)
& ? [X16] :
( r1(X15,X16)
& ? [X17] : r1(X16,X17)
& ! [X18] :
( ~ r1(X16,X18)
| ( ( ~ p14(X18)
| p13(X18) )
& ( p14(X18)
| ~ p13(X18) ) ) ) )
& ! [X19] :
( ~ r1(X15,X19)
| ( ( ~ p13(X19)
| p12(X19) )
& ( p13(X19)
| ~ p12(X19) ) ) ) )
& ! [X20] :
( ~ r1(X14,X20)
| ( ( ~ p12(X20)
| p11(X20) )
& ( p12(X20)
| ~ p11(X20) ) ) ) )
& ! [X21] :
( ~ r1(X13,X21)
| ( ( ~ p11(X21)
| p10(X21) )
& ( p11(X21)
| ~ p10(X21) ) ) ) )
& ! [X22] :
( ~ r1(X12,X22)
| ( ( ~ p10(X22)
| p9(X22) )
& ( p10(X22)
| ~ p9(X22) ) ) ) )
& ! [X23] :
( ~ r1(X11,X23)
| ( ( ~ p9(X23)
| p8(X23) )
& ( p9(X23)
| ~ p8(X23) ) ) ) )
& ! [X24] :
( ~ r1(X10,X24)
| ( ( ~ p8(X24)
| p7(X24) )
& ( p8(X24)
| ~ p7(X24) ) ) ) )
& ! [X25] :
( ~ r1(X9,X25)
| ( ( ~ p7(X25)
| p6(X25) )
& ( p7(X25)
| ~ p6(X25) ) ) ) )
& ! [X26] :
( ~ r1(X8,X26)
| ( ( ~ p6(X26)
| p5(X26) )
& ( p6(X26)
| ~ p5(X26) ) ) ) )
& ! [X27] :
( ~ r1(X7,X27)
| ( ( ~ p5(X27)
| p4(X27) )
& ( p5(X27)
| ~ p4(X27) ) ) ) )
& ! [X28] :
( ~ r1(X6,X28)
| ( ( ~ p4(X28)
| p3(X28) )
& ( p4(X28)
| ~ p3(X28) ) ) ) )
& ! [X29] :
( ~ r1(X5,X29)
| ( ( ~ p3(X29)
| p2(X29) )
& ( p3(X29)
| ~ p2(X29) ) ) ) )
& ! [X30] :
( ~ r1(X4,X30)
| ( ( ~ p2(X30)
| p1(X30) )
& ( p2(X30)
| ~ p1(X30) ) ) )
& ? [X31] :
( r1(X4,X31)
& ~ p15(X31) )
& ? [X32] :
( r1(X4,X32)
& ( p13(X32)
| p14(X32) )
& ( ~ p14(X32)
| ~ p13(X32) )
& ( p12(X32)
| p13(X32) )
& ( ~ p13(X32)
| ~ p12(X32) )
& ( p11(X32)
| p12(X32) )
& ( ~ p12(X32)
| ~ p11(X32) )
& ( p10(X32)
| p11(X32) )
& ( ~ p11(X32)
| ~ p10(X32) )
& ( p9(X32)
| p10(X32) )
& ( ~ p10(X32)
| ~ p9(X32) )
& ( p8(X32)
| p9(X32) )
& ( ~ p9(X32)
| ~ p8(X32) )
& ( p7(X32)
| p8(X32) )
& ( ~ p8(X32)
| ~ p7(X32) )
& ( p6(X32)
| p7(X32) )
& ( ~ p7(X32)
| ~ p6(X32) )
& ( p5(X32)
| p6(X32) )
& ( ~ p6(X32)
| ~ p5(X32) )
& ( p4(X32)
| p5(X32) )
& ( ~ p5(X32)
| ~ p4(X32) )
& ( p3(X32)
| p4(X32) )
& ( ~ p4(X32)
| ~ p3(X32) )
& ( p2(X32)
| p3(X32) )
& ( ~ p3(X32)
| ~ p2(X32) )
& ( p1(X32)
| p2(X32) )
& ( ~ p2(X32)
| ~ p1(X32) ) ) ) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f11,definition,
! [X14] :
( ? [X15] :
( r1(X14,X15)
& ? [X16] :
( r1(X15,X16)
& ? [X17] : r1(X16,X17)
& ! [X18] :
( ~ r1(X16,X18)
| ( ( ~ p14(X18)
| p13(X18) )
& ( p14(X18)
| ~ p13(X18) ) ) ) )
& ! [X19] :
( ~ r1(X15,X19)
| ( ( ~ p13(X19)
| p12(X19) )
& ( p13(X19)
| ~ p12(X19) ) ) ) )
| ~ sP0(X14) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f12,definition,
! [X12] :
( ? [X13] :
( r1(X12,X13)
& ? [X14] :
( r1(X13,X14)
& sP0(X14)
& ! [X20] :
( ~ r1(X14,X20)
| ( ( ~ p12(X20)
| p11(X20) )
& ( p12(X20)
| ~ p11(X20) ) ) ) )
& ! [X21] :
( ~ r1(X13,X21)
| ( ( ~ p11(X21)
| p10(X21) )
& ( p11(X21)
| ~ p10(X21) ) ) ) )
| ~ sP1(X12) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f13,definition,
! [X10] :
( ? [X11] :
( r1(X10,X11)
& ? [X12] :
( r1(X11,X12)
& sP1(X12)
& ! [X22] :
( ~ r1(X12,X22)
| ( ( ~ p10(X22)
| p9(X22) )
& ( p10(X22)
| ~ p9(X22) ) ) ) )
& ! [X23] :
( ~ r1(X11,X23)
| ( ( ~ p9(X23)
| p8(X23) )
& ( p9(X23)
| ~ p8(X23) ) ) ) )
| ~ sP2(X10) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f14,definition,
! [X8] :
( ? [X9] :
( r1(X8,X9)
& ? [X10] :
( r1(X9,X10)
& sP2(X10)
& ! [X24] :
( ~ r1(X10,X24)
| ( ( ~ p8(X24)
| p7(X24) )
& ( p8(X24)
| ~ p7(X24) ) ) ) )
& ! [X25] :
( ~ r1(X9,X25)
| ( ( ~ p7(X25)
| p6(X25) )
& ( p7(X25)
| ~ p6(X25) ) ) ) )
| ~ sP3(X8) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f15,definition,
! [X6] :
( ? [X7] :
( r1(X6,X7)
& ? [X8] :
( r1(X7,X8)
& sP3(X8)
& ! [X26] :
( ~ r1(X8,X26)
| ( ( ~ p6(X26)
| p5(X26) )
& ( p6(X26)
| ~ p5(X26) ) ) ) )
& ! [X27] :
( ~ r1(X7,X27)
| ( ( ~ p5(X27)
| p4(X27) )
& ( p5(X27)
| ~ p4(X27) ) ) ) )
| ~ sP4(X6) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f16,definition,
! [X4] :
( ? [X32] :
( r1(X4,X32)
& ( p13(X32)
| p14(X32) )
& ( ~ p14(X32)
| ~ p13(X32) )
& ( p12(X32)
| p13(X32) )
& ( ~ p13(X32)
| ~ p12(X32) )
& ( p11(X32)
| p12(X32) )
& ( ~ p12(X32)
| ~ p11(X32) )
& ( p10(X32)
| p11(X32) )
& ( ~ p11(X32)
| ~ p10(X32) )
& ( p9(X32)
| p10(X32) )
& ( ~ p10(X32)
| ~ p9(X32) )
& ( p8(X32)
| p9(X32) )
& ( ~ p9(X32)
| ~ p8(X32) )
& ( p7(X32)
| p8(X32) )
& ( ~ p8(X32)
| ~ p7(X32) )
& ( p6(X32)
| p7(X32) )
& ( ~ p7(X32)
| ~ p6(X32) )
& ( p5(X32)
| p6(X32) )
& ( ~ p6(X32)
| ~ p5(X32) )
& ( p4(X32)
| p5(X32) )
& ( ~ p5(X32)
| ~ p4(X32) )
& ( p3(X32)
| p4(X32) )
& ( ~ p4(X32)
| ~ p3(X32) )
& ( p2(X32)
| p3(X32) )
& ( ~ p3(X32)
| ~ p2(X32) )
& ( p1(X32)
| p2(X32) )
& ( ~ p2(X32)
| ~ p1(X32) ) )
| ~ sP5(X4) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f17,definition,
! [X4] :
( ? [X5] :
( r1(X4,X5)
& ? [X6] :
( r1(X5,X6)
& sP4(X6)
& ! [X28] :
( ~ r1(X6,X28)
| ( ( ~ p4(X28)
| p3(X28) )
& ( p4(X28)
| ~ p3(X28) ) ) ) )
& ! [X29] :
( ~ r1(X5,X29)
| ( ( ~ p3(X29)
| p2(X29) )
& ( p3(X29)
| ~ p2(X29) ) ) ) )
| ~ sP6(X4) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f18,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& p15(X1)
& ? [X2] :
( r1(X1,X2)
& p1(X2) ) )
& ? [X3] :
( r1(X0,X3)
& ! [X4] :
( ~ r1(X3,X4)
| ( sP6(X4)
& ! [X30] :
( ~ r1(X4,X30)
| ( ( ~ p2(X30)
| p1(X30) )
& ( p2(X30)
| ~ p1(X30) ) ) )
& ? [X31] :
( r1(X4,X31)
& ~ p15(X31) )
& sP5(X4) ) ) ) ),
inference(definition_folding,[],[f10,f17,f16,f15,f14,f13,f12,f11]) ).
fof(f22,plain,
! [X4] :
( ? [X32] :
( r1(X4,X32)
& ( p13(X32)
| p14(X32) )
& ( ~ p14(X32)
| ~ p13(X32) )
& ( p12(X32)
| p13(X32) )
& ( ~ p13(X32)
| ~ p12(X32) )
& ( p11(X32)
| p12(X32) )
& ( ~ p12(X32)
| ~ p11(X32) )
& ( p10(X32)
| p11(X32) )
& ( ~ p11(X32)
| ~ p10(X32) )
& ( p9(X32)
| p10(X32) )
& ( ~ p10(X32)
| ~ p9(X32) )
& ( p8(X32)
| p9(X32) )
& ( ~ p9(X32)
| ~ p8(X32) )
& ( p7(X32)
| p8(X32) )
& ( ~ p8(X32)
| ~ p7(X32) )
& ( p6(X32)
| p7(X32) )
& ( ~ p7(X32)
| ~ p6(X32) )
& ( p5(X32)
| p6(X32) )
& ( ~ p6(X32)
| ~ p5(X32) )
& ( p4(X32)
| p5(X32) )
& ( ~ p5(X32)
| ~ p4(X32) )
& ( p3(X32)
| p4(X32) )
& ( ~ p4(X32)
| ~ p3(X32) )
& ( p2(X32)
| p3(X32) )
& ( ~ p3(X32)
| ~ p2(X32) )
& ( p1(X32)
| p2(X32) )
& ( ~ p2(X32)
| ~ p1(X32) ) )
| ~ sP5(X4) ),
inference(nnf_transformation,[],[f16]) ).
fof(f23,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ( p13(X1)
| p14(X1) )
& ( ~ p14(X1)
| ~ p13(X1) )
& ( p12(X1)
| p13(X1) )
& ( ~ p13(X1)
| ~ p12(X1) )
& ( p11(X1)
| p12(X1) )
& ( ~ p12(X1)
| ~ p11(X1) )
& ( p10(X1)
| p11(X1) )
& ( ~ p11(X1)
| ~ p10(X1) )
& ( p9(X1)
| p10(X1) )
& ( ~ p10(X1)
| ~ p9(X1) )
& ( p8(X1)
| p9(X1) )
& ( ~ p9(X1)
| ~ p8(X1) )
& ( p7(X1)
| p8(X1) )
& ( ~ p8(X1)
| ~ p7(X1) )
& ( p6(X1)
| p7(X1) )
& ( ~ p7(X1)
| ~ p6(X1) )
& ( p5(X1)
| p6(X1) )
& ( ~ p6(X1)
| ~ p5(X1) )
& ( p4(X1)
| p5(X1) )
& ( ~ p5(X1)
| ~ p4(X1) )
& ( p3(X1)
| p4(X1) )
& ( ~ p4(X1)
| ~ p3(X1) )
& ( p2(X1)
| p3(X1) )
& ( ~ p3(X1)
| ~ p2(X1) )
& ( p1(X1)
| p2(X1) )
& ( ~ p2(X1)
| ~ p1(X1) ) )
| ~ sP5(X0) ),
inference(rectify,[],[f22]) ).
fof(f24,plain,
! [X0] :
( ( r1(X0,sK9(X0))
& ( p13(sK9(X0))
| p14(sK9(X0)) )
& ( ~ p14(sK9(X0))
| ~ p13(sK9(X0)) )
& ( p12(sK9(X0))
| p13(sK9(X0)) )
& ( ~ p13(sK9(X0))
| ~ p12(sK9(X0)) )
& ( p11(sK9(X0))
| p12(sK9(X0)) )
& ( ~ p12(sK9(X0))
| ~ p11(sK9(X0)) )
& ( p10(sK9(X0))
| p11(sK9(X0)) )
& ( ~ p11(sK9(X0))
| ~ p10(sK9(X0)) )
& ( p9(sK9(X0))
| p10(sK9(X0)) )
& ( ~ p10(sK9(X0))
| ~ p9(sK9(X0)) )
& ( p8(sK9(X0))
| p9(sK9(X0)) )
& ( ~ p9(sK9(X0))
| ~ p8(sK9(X0)) )
& ( p7(sK9(X0))
| p8(sK9(X0)) )
& ( ~ p8(sK9(X0))
| ~ p7(sK9(X0)) )
& ( p6(sK9(X0))
| p7(sK9(X0)) )
& ( ~ p7(sK9(X0))
| ~ p6(sK9(X0)) )
& ( p5(sK9(X0))
| p6(sK9(X0)) )
& ( ~ p6(sK9(X0))
| ~ p5(sK9(X0)) )
& ( p4(sK9(X0))
| p5(sK9(X0)) )
& ( ~ p5(sK9(X0))
| ~ p4(sK9(X0)) )
& ( p3(sK9(X0))
| p4(sK9(X0)) )
& ( ~ p4(sK9(X0))
| ~ p3(sK9(X0)) )
& ( p2(sK9(X0))
| p3(sK9(X0)) )
& ( ~ p3(sK9(X0))
| ~ p2(sK9(X0)) )
& ( p1(sK9(X0))
| p2(sK9(X0)) )
& ( ~ p2(sK9(X0))
| ~ p1(sK9(X0)) ) )
| ~ sP5(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X1,sK9(X0))],[f23]) ).
fof(f40,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& p15(X1)
& ? [X2] :
( r1(X1,X2)
& p1(X2) ) )
& ? [X3] :
( r1(X0,X3)
& ! [X4] :
( ~ r1(X3,X4)
| ( sP6(X4)
& ! [X5] :
( ~ r1(X4,X5)
| ( ( ~ p2(X5)
| p1(X5) )
& ( p2(X5)
| ~ p1(X5) ) ) )
& ? [X6] :
( r1(X4,X6)
& ~ p15(X6) )
& sP5(X4) ) ) ) ),
inference(rectify,[],[f18]) ).
fof(f41,plain,
( r1(sK21,sK22)
& p15(sK22)
& r1(sK22,sK23)
& p1(sK23)
& r1(sK21,sK24)
& ! [X4] :
( ~ r1(sK24,X4)
| ( sP6(X4)
& ! [X5] :
( ~ r1(X4,X5)
| ( ( ~ p2(X5)
| p1(X5) )
& ( p2(X5)
| ~ p1(X5) ) ) )
& r1(X4,sK25(X4))
& ~ p15(sK25(X4))
& sP5(X4) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21,sK22,sK23,sK24,sK25]),skolemize(X0,sK21),skolemize(X1,sK22),skolemize(X2,sK23),skolemize(X3,sK24),skolemize(X6,sK25(X4))],[f40]) ).
fof(f42,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f51,plain,
! [X0] :
( ~ p2(sK9(X0))
| ~ p1(sK9(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f52,plain,
! [X0] :
( p1(sK9(X0))
| p2(sK9(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f77,plain,
! [X0] :
( r1(X0,sK9(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f113,plain,
! [X4] :
( sP5(X4)
| ~ r1(sK24,X4) ),
inference(cnf_transformation,[],[f41]) ).
fof(f116,plain,
! [X4,X5] :
( p2(X5)
| ~ r1(X4,X5)
| ~ r1(sK24,X4)
| ~ p1(X5) ),
inference(cnf_transformation,[],[f41]) ).
fof(f117,plain,
! [X4,X5] :
( p1(X5)
| ~ r1(X4,X5)
| ~ p2(X5)
| ~ r1(sK24,X4) ),
inference(cnf_transformation,[],[f41]) ).
fof(f124,plain,
! [X0,X1] :
( ~ p1(sK9(X0))
| ~ sP5(X0)
| ~ r1(X1,sK9(X0))
| ~ r1(sK24,X1)
| ~ p1(sK9(X0)) ),
inference(resolution,[],[f51,f116]) ).
fof(f125,plain,
! [X0,X1] :
( ~ sP5(X0)
| ~ p1(sK9(X0))
| ~ r1(X1,sK9(X0))
| ~ r1(sK24,X1) ),
inference(duplicate_literal_removal,[],[f124]) ).
fof(f126,plain,
! [X0,X1] :
( ~ p1(sK9(X0))
| ~ r1(X1,sK9(X0))
| ~ r1(sK24,X1)
| ~ r1(sK24,X0) ),
inference(resolution,[],[f125,f113]) ).
fof(f127,plain,
! [X0,X1] :
( ~ r1(X0,sK9(X1))
| ~ r1(sK24,X0)
| ~ r1(sK24,X1)
| p2(sK9(X1))
| ~ sP5(X1) ),
inference(resolution,[],[f126,f52]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ r1(X0,sK9(X1))
| ~ r1(sK24,X0)
| ~ r1(sK24,X1)
| ~ r1(X2,sK9(X1))
| ~ p2(sK9(X1))
| ~ r1(sK24,X2) ),
inference(resolution,[],[f126,f117]) ).
fof(f129,plain,
! [X0,X1] :
( p2(sK9(X1))
| ~ r1(sK24,X0)
| ~ r1(sK24,X1)
| ~ r1(X0,sK9(X1)) ),
inference(forward_subsumption_resolution,[],[f127,f113]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ r1(X0,sK9(X1))
| ~ r1(sK24,X0)
| ~ r1(sK24,X1)
| ~ r1(X2,sK9(X1))
| ~ r1(sK24,X2) ),
inference(forward_subsumption_resolution,[],[f128,f129]) ).
fof(f138,plain,
! [X0] :
( ~ r1(sK24,sK9(X0))
| ~ r1(sK24,sK24)
| ~ r1(sK24,X0)
| ~ r1(sK9(X0),sK9(X0)) ),
inference(factoring,[],[f133]) ).
fof(f141,plain,
! [X0] :
( ~ r1(sK24,sK9(X0))
| ~ r1(sK24,sK24)
| ~ r1(sK24,X0) ),
inference(forward_subsumption_resolution,[],[f138,f42]) ).
fof(f144,plain,
! [X0] :
( ~ r1(sK24,sK9(X0))
| ~ r1(sK24,X0) ),
inference(forward_subsumption_resolution,[],[f141,f42]) ).
fof(f145,plain,
( ~ r1(sK24,sK24)
| ~ sP5(sK24) ),
inference(resolution,[],[f144,f77]) ).
fof(f147,plain,
~ r1(sK24,sK24),
inference(forward_subsumption_resolution,[],[f145,f113]) ).
fof(f148,plain,
$false,
inference(forward_subsumption_resolution,[],[f147,f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL686+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n006.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 16:38:11 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.97/1.25 % (3155424)Detected formulas, will run a generic FOF schedule.
% 2.97/1.25 % (3155435)dis-21_1_sil=8000:lcm=predicate:random_seed=4192292687:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.97/1.25 % (3155435)Instruction limit reached!
% 2.97/1.25 % (3155435)------------------------------
% 2.97/1.25 % (3155435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.25 % (3155435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.25 % (3155435)CaDiCaL version: 2.1.3
% 2.97/1.25 % (3155435)Termination reason: Instruction limit
% 2.97/1.25 % (3155435)Termination phase: Saturation
% 2.97/1.25 % (3155435)Time elapsed: 0.036 s
% 2.97/1.25 % (3155435)Peak memory usage: 88 MB
% 2.97/1.25 % (3155435)Instructions burned: 130 (million)
% 2.97/1.25 % (3155431)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1104690998:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.97/1.25 % (3155429)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4236275739:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.97/1.25 % (3155430)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2366037553:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.97/1.25 % (3155433)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=643063449:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.97/1.25 % (3155432)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3970564259:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.97/1.25 % (3155434)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4035355442:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.97/1.25 % (3155433)Also succeeded, but the first one will report.
% 2.97/1.25 % (3155434)First to succeed.
% 2.97/1.25 % (3155434)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3155424"
% 2.97/1.25 % (3155432)Also succeeded, but the first one will report.
% 2.97/1.25 % (3155437)lrs+10_1_sil=8000:sp=occurrence:random_seed=4163614230:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.97/1.25 % (3155437)Also succeeded, but the first one will report.
% 2.97/1.25 % (3155434)Refutation found. Thanks to Tanya!
% 2.97/1.25 % SZS status Theorem for theBenchmark
% 2.97/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.52/1.44 % (3155434)------------------------------
% 3.52/1.44 % (3155434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.44 % (3155434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.44 % (3155434)CaDiCaL version: 2.1.3
% 3.52/1.44 % (3155434)Termination reason: Refutation
% 3.52/1.44 % (3155434)Time elapsed: 0.006 s
% 3.52/1.44 % (3155434)Peak memory usage: 88 MB
% 3.52/1.44 % (3155434)Instructions burned: 9 (million)
% 3.52/1.44 % (3155434)------------------------------
% 3.52/1.44 % (3155434)------------------------------
% 3.52/1.44 % (3155424)Success in time 0.415 s
% 3.52/1.44 % Vampire exiting
%------------------------------------------------------------------------------