%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL656+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 11:54:21 AM UTC 2026
% Result : Theorem 2.36s 1.15s
% Output : Refutation 2.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 14
% Syntax : Number of formulae : 68 ( 8 unt; 12 def)
% Number of atoms : 1288 ( 0 equ)
% Maximal formula atoms : 129 ( 18 avg)
% Number of connectives : 2185 ( 965 ~; 707 |; 513 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 11 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 338 ( 292 !; 46 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) ) ) ) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ( ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p6(X0)
& ~ p106(X0)
& p105(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p6(X0)
& ~ p106(X0)
& p105(X0) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p5(X0)
& ~ p105(X0)
& p104(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p5(X0)
& ~ p105(X0)
& p104(X0) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p4(X0)
& ~ p104(X0)
& p103(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p4(X0)
& ~ p104(X0)
& p103(X0) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p3(X0)
& ~ p103(X0)
& p102(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p3(X0)
& ~ p103(X0)
& p102(X0) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p2(X0)
& ~ p102(X0)
& p101(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p2(X0)
& ~ p102(X0)
& p101(X0) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p6(X0)
| ~ p105(X0) )
| p6(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p6(X0)
| ~ p105(X0) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p5(X0)
| ~ p104(X0) )
| p5(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p5(X0)
| ~ p104(X0) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p4(X0)
| ~ p103(X0) )
| p4(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| ~ p103(X0) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p3(X0)
| ~ p102(X0) )
| p3(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p3(X0)
| ~ p102(X0) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ~ p101(X0) )
| p2(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ p101(X0) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0)
| ~ p100(X0) )
| p1(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p1(X0)
| ~ p100(X0) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( p105(X1)
| ~ p106(X1) )
& ( p104(X1)
| ~ p105(X1) )
& ( p103(X1)
| ~ p104(X1) )
& ( p102(X1)
| ~ p103(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( p100(X1)
| ~ p101(X1) ) ) ) ) ) ) )
& ~ p101(X0)
& p100(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) ) ) ) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ( ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p6(X0)
& ~ p106(X0)
& p105(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p6(X0)
& ~ p106(X0)
& p105(X0) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p5(X0)
& ~ p105(X0)
& p104(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p5(X0)
& ~ p105(X0)
& p104(X0) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p4(X0)
& ~ p104(X0)
& p103(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p4(X0)
& ~ p104(X0)
& p103(X0) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p3(X0)
& ~ p103(X0)
& p102(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p3(X0)
& ~ p103(X0)
& p102(X0) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p2(X0)
& ~ p102(X0)
& p101(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p2(X0)
& ~ p102(X0)
& p101(X0) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p6(X0)
| ~ p105(X0) )
| p6(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p6(X0)
| ~ p105(X0) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p5(X0)
| ~ p104(X0) )
| p5(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p5(X0)
| ~ p104(X0) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p4(X0)
| ~ p103(X0) )
| p4(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| ~ p103(X0) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p3(X0)
| ~ p102(X0) )
| p3(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p3(X0)
| ~ p102(X0) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ~ p101(X0) )
| p2(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ p101(X0) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0)
| ~ p100(X0) )
| p1(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p1(X0)
| ~ p100(X0) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( p105(X1)
| ~ p106(X1) )
& ( p104(X1)
| ~ p105(X1) )
& ( p103(X1)
| ~ p104(X1) )
& ( p102(X1)
| ~ p103(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( p100(X1)
| ~ p101(X1) ) ) ) ) ) ) )
& ~ p101(X0)
& p100(X0) ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p3(X5) ) ) ) ) )
| ~ ( ! [X6] :
( ~ r1(X0,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ( ( ( ~ ! [X11] :
( ~ r1(X10,X11)
| ~ ( ~ p6(X11)
& ~ p106(X11)
& p105(X11) ) )
& ~ ! [X12] :
( ~ r1(X10,X12)
| ~ ( p6(X12)
& ~ p106(X12)
& p105(X12) ) ) )
| ~ ( ~ p105(X10)
& p104(X10) ) )
& ( ( ~ ! [X13] :
( ~ r1(X10,X13)
| ~ ( ~ p5(X13)
& ~ p105(X13)
& p104(X13) ) )
& ~ ! [X14] :
( ~ r1(X10,X14)
| ~ ( p5(X14)
& ~ p105(X14)
& p104(X14) ) ) )
| ~ ( ~ p104(X10)
& p103(X10) ) )
& ( ( ~ ! [X15] :
( ~ r1(X10,X15)
| ~ ( ~ p4(X15)
& ~ p104(X15)
& p103(X15) ) )
& ~ ! [X16] :
( ~ r1(X10,X16)
| ~ ( p4(X16)
& ~ p104(X16)
& p103(X16) ) ) )
| ~ ( ~ p103(X10)
& p102(X10) ) )
& ( ( ~ ! [X17] :
( ~ r1(X10,X17)
| ~ ( ~ p3(X17)
& ~ p103(X17)
& p102(X17) ) )
& ~ ! [X18] :
( ~ r1(X10,X18)
| ~ ( p3(X18)
& ~ p103(X18)
& p102(X18) ) ) )
| ~ ( ~ p102(X10)
& p101(X10) ) )
& ( ( ~ ! [X19] :
( ~ r1(X10,X19)
| ~ ( ~ p2(X19)
& ~ p102(X19)
& p101(X19) ) )
& ~ ! [X20] :
( ~ r1(X10,X20)
| ~ ( p2(X20)
& ~ p102(X20)
& p101(X20) ) ) )
| ~ ( ~ p101(X10)
& p100(X10) ) )
& ( ( ( ! [X21] :
( ~ r1(X10,X21)
| ~ p6(X21)
| ~ p105(X21) )
| p6(X10) )
& ( ! [X22] :
( ~ r1(X10,X22)
| p6(X22)
| ~ p105(X22) )
| ~ p6(X10) ) )
| ~ p105(X10) )
& ( ( ( ! [X23] :
( ~ r1(X10,X23)
| ~ p5(X23)
| ~ p104(X23) )
| p5(X10) )
& ( ! [X24] :
( ~ r1(X10,X24)
| p5(X24)
| ~ p104(X24) )
| ~ p5(X10) ) )
| ~ p104(X10) )
& ( ( ( ! [X25] :
( ~ r1(X10,X25)
| ~ p4(X25)
| ~ p103(X25) )
| p4(X10) )
& ( ! [X26] :
( ~ r1(X10,X26)
| p4(X26)
| ~ p103(X26) )
| ~ p4(X10) ) )
| ~ p103(X10) )
& ( ( ( ! [X27] :
( ~ r1(X10,X27)
| ~ p3(X27)
| ~ p102(X27) )
| p3(X10) )
& ( ! [X28] :
( ~ r1(X10,X28)
| p3(X28)
| ~ p102(X28) )
| ~ p3(X10) ) )
| ~ p102(X10) )
& ( ( ( ! [X29] :
( ~ r1(X10,X29)
| ~ p2(X29)
| ~ p101(X29) )
| p2(X10) )
& ( ! [X30] :
( ~ r1(X10,X30)
| p2(X30)
| ~ p101(X30) )
| ~ p2(X10) ) )
| ~ p101(X10) )
& ( ( ( ! [X31] :
( ~ r1(X10,X31)
| ~ p1(X31)
| ~ p100(X31) )
| p1(X10) )
& ( ! [X32] :
( ~ r1(X10,X32)
| p1(X32)
| ~ p100(X32) )
| ~ p1(X10) ) )
| ~ p100(X10) )
& ( p105(X10)
| ~ p106(X10) )
& ( p104(X10)
| ~ p105(X10) )
& ( p103(X10)
| ~ p104(X10) )
& ( p102(X10)
| ~ p103(X10) )
& ( p101(X10)
| ~ p102(X10) )
& ( p100(X10)
| ~ p101(X10) ) ) ) ) ) ) )
& ~ p101(X0)
& p100(X0) ) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p3(X5) ) ) ) ) )
| ~ ( ! [X6] :
( ~ r1(X0,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ( ( ( ~ ! [X11] :
( ~ r1(X10,X11)
| ~ ( ~ p6(X11)
& ~ p106(X11)
& p105(X11) ) )
& ~ ! [X12] :
( ~ r1(X10,X12)
| ~ ( p6(X12)
& ~ p106(X12)
& p105(X12) ) ) )
| ~ ( ~ p105(X10)
& p104(X10) ) )
& ( ( ~ ! [X13] :
( ~ r1(X10,X13)
| ~ ( ~ p5(X13)
& ~ p105(X13)
& p104(X13) ) )
& ~ ! [X14] :
( ~ r1(X10,X14)
| ~ ( p5(X14)
& ~ p105(X14)
& p104(X14) ) ) )
| ~ ( ~ p104(X10)
& p103(X10) ) )
& ( ( ~ ! [X15] :
( ~ r1(X10,X15)
| ~ ( ~ p4(X15)
& ~ p104(X15)
& p103(X15) ) )
& ~ ! [X16] :
( ~ r1(X10,X16)
| ~ ( p4(X16)
& ~ p104(X16)
& p103(X16) ) ) )
| ~ ( ~ p103(X10)
& p102(X10) ) )
& ( ( ~ ! [X17] :
( ~ r1(X10,X17)
| ~ ( ~ p3(X17)
& ~ p103(X17)
& p102(X17) ) )
& ~ ! [X18] :
( ~ r1(X10,X18)
| ~ ( p3(X18)
& ~ p103(X18)
& p102(X18) ) ) )
| ~ ( ~ p102(X10)
& p101(X10) ) )
& ( ( ~ ! [X19] :
( ~ r1(X10,X19)
| ~ ( ~ p2(X19)
& ~ p102(X19)
& p101(X19) ) )
& ~ ! [X20] :
( ~ r1(X10,X20)
| ~ ( p2(X20)
& ~ p102(X20)
& p101(X20) ) ) )
| ~ ( ~ p101(X10)
& p100(X10) ) )
& ( ( ( ! [X21] :
( ~ r1(X10,X21)
| ~ p6(X21)
| ~ p105(X21) )
| p6(X10) )
& ( ! [X22] :
( ~ r1(X10,X22)
| p6(X22)
| ~ p105(X22) )
| ~ p6(X10) ) )
| ~ p105(X10) )
& ( ( ( ! [X23] :
( ~ r1(X10,X23)
| ~ p5(X23)
| ~ p104(X23) )
| p5(X10) )
& ( ! [X24] :
( ~ r1(X10,X24)
| p5(X24)
| ~ p104(X24) )
| ~ p5(X10) ) )
| ~ p104(X10) )
& ( ( ( ! [X25] :
( ~ r1(X10,X25)
| ~ p4(X25)
| ~ p103(X25) )
| p4(X10) )
& ( ! [X26] :
( ~ r1(X10,X26)
| p4(X26)
| ~ p103(X26) )
| ~ p4(X10) ) )
| ~ p103(X10) )
& ( ( ( ! [X27] :
( ~ r1(X10,X27)
| ~ p3(X27)
| ~ p102(X27) )
| p3(X10) )
& ( ! [X28] :
( ~ r1(X10,X28)
| p3(X28)
| ~ p102(X28) )
| ~ p3(X10) ) )
| ~ p102(X10) )
& ( ( ( ! [X29] :
( ~ r1(X10,X29)
| ~ p2(X29)
| ~ p101(X29) )
| p2(X10) )
& ( ! [X30] :
( ~ r1(X10,X30)
| p2(X30)
| ~ p101(X30) )
| ~ p2(X10) ) )
| ~ p101(X10) )
& ( ( ( ! [X31] :
( ~ r1(X10,X31)
| ~ p1(X31)
| ~ p100(X31) )
| p1(X10) )
& ( ! [X32] :
( ~ r1(X10,X32)
| p1(X32)
| ~ p100(X32) )
| ~ p1(X10) ) )
| ~ p100(X10) )
& ( p105(X10)
| ~ p106(X10) )
& ( p104(X10)
| ~ p105(X10) )
& ( p103(X10)
| ~ p104(X10) )
& ( p102(X10)
| ~ p103(X10) )
& ( p101(X10)
| ~ p102(X10) )
& ( p100(X10)
| ~ p101(X10) ) ) ) ) ) ) )
& ~ p101(X0)
& p100(X0) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p3(X5) ) ) ) ) )
| ~ ( ! [X6] :
( ~ r1(X0,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ( ( ( ~ ! [X11] :
( ~ r1(X10,X11)
| ~ ( ~ p6(X11)
& p105(X11) ) )
& ~ ! [X12] :
( ~ r1(X10,X12)
| ~ ( p6(X12)
& p105(X12) ) ) )
| ~ ( ~ p105(X10)
& p104(X10) ) )
& ( ( ~ ! [X13] :
( ~ r1(X10,X13)
| ~ ( ~ p5(X13)
& ~ p105(X13)
& p104(X13) ) )
& ~ ! [X14] :
( ~ r1(X10,X14)
| ~ ( p5(X14)
& ~ p105(X14)
& p104(X14) ) ) )
| ~ ( ~ p104(X10)
& p103(X10) ) )
& ( ( ~ ! [X15] :
( ~ r1(X10,X15)
| ~ ( ~ p4(X15)
& ~ p104(X15)
& p103(X15) ) )
& ~ ! [X16] :
( ~ r1(X10,X16)
| ~ ( p4(X16)
& ~ p104(X16)
& p103(X16) ) ) )
| ~ ( ~ p103(X10)
& p102(X10) ) )
& ( ( ~ ! [X17] :
( ~ r1(X10,X17)
| ~ ( ~ p3(X17)
& ~ p103(X17)
& p102(X17) ) )
& ~ ! [X18] :
( ~ r1(X10,X18)
| ~ ( p3(X18)
& ~ p103(X18)
& p102(X18) ) ) )
| ~ ( ~ p102(X10)
& p101(X10) ) )
& ( ( ~ ! [X19] :
( ~ r1(X10,X19)
| ~ ( ~ p2(X19)
& ~ p102(X19)
& p101(X19) ) )
& ~ ! [X20] :
( ~ r1(X10,X20)
| ~ ( p2(X20)
& ~ p102(X20)
& p101(X20) ) ) )
| ~ ( ~ p101(X10)
& p100(X10) ) )
& ( ( ( ! [X21] :
( ~ r1(X10,X21)
| ~ p6(X21)
| ~ p105(X21) )
| p6(X10) )
& ( ! [X22] :
( ~ r1(X10,X22)
| p6(X22)
| ~ p105(X22) )
| ~ p6(X10) ) )
| ~ p105(X10) )
& ( ( ( ! [X23] :
( ~ r1(X10,X23)
| ~ p5(X23)
| ~ p104(X23) )
| p5(X10) )
& ( ! [X24] :
( ~ r1(X10,X24)
| p5(X24)
| ~ p104(X24) )
| ~ p5(X10) ) )
| ~ p104(X10) )
& ( ( ( ! [X25] :
( ~ r1(X10,X25)
| ~ p4(X25)
| ~ p103(X25) )
| p4(X10) )
& ( ! [X26] :
( ~ r1(X10,X26)
| p4(X26)
| ~ p103(X26) )
| ~ p4(X10) ) )
| ~ p103(X10) )
& ( ( ( ! [X27] :
( ~ r1(X10,X27)
| ~ p3(X27)
| ~ p102(X27) )
| p3(X10) )
& ( ! [X28] :
( ~ r1(X10,X28)
| p3(X28)
| ~ p102(X28) )
| ~ p3(X10) ) )
| ~ p102(X10) )
& ( ( ( ! [X29] :
( ~ r1(X10,X29)
| ~ p2(X29)
| ~ p101(X29) )
| p2(X10) )
& ( ! [X30] :
( ~ r1(X10,X30)
| p2(X30)
| ~ p101(X30) )
| ~ p2(X10) ) )
| ~ p101(X10) )
& ( ( ( ! [X31] :
( ~ r1(X10,X31)
| ~ p1(X31)
| ~ p100(X31) )
| p1(X10) )
& ( ! [X32] :
( ~ r1(X10,X32)
| p1(X32)
| ~ p100(X32) )
| ~ p1(X10) ) )
| ~ p100(X10) )
& ( p104(X10)
| ~ p105(X10) )
& ( p103(X10)
| ~ p104(X10) )
& ( p102(X10)
| ~ p103(X10) )
& ( p101(X10)
| ~ p102(X10) )
& ( p100(X10)
| ~ p101(X10) ) ) ) ) ) ) )
& ~ p101(X0)
& p100(X0) ) ),
inference(pure_predicate_removal,[],[f5]) ).
fof(f7,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p3(X5) ) ) ) ) )
& ! [X6] :
( ~ r1(X0,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ( ( ( ? [X11] :
( r1(X10,X11)
& ~ p6(X11)
& p105(X11) )
& ? [X12] :
( r1(X10,X12)
& p6(X12)
& p105(X12) ) )
| p105(X10)
| ~ p104(X10) )
& ( ( ? [X13] :
( r1(X10,X13)
& ~ p5(X13)
& ~ p105(X13)
& p104(X13) )
& ? [X14] :
( r1(X10,X14)
& p5(X14)
& ~ p105(X14)
& p104(X14) ) )
| p104(X10)
| ~ p103(X10) )
& ( ( ? [X15] :
( r1(X10,X15)
& ~ p4(X15)
& ~ p104(X15)
& p103(X15) )
& ? [X16] :
( r1(X10,X16)
& p4(X16)
& ~ p104(X16)
& p103(X16) ) )
| p103(X10)
| ~ p102(X10) )
& ( ( ? [X17] :
( r1(X10,X17)
& ~ p3(X17)
& ~ p103(X17)
& p102(X17) )
& ? [X18] :
( r1(X10,X18)
& p3(X18)
& ~ p103(X18)
& p102(X18) ) )
| p102(X10)
| ~ p101(X10) )
& ( ( ? [X19] :
( r1(X10,X19)
& ~ p2(X19)
& ~ p102(X19)
& p101(X19) )
& ? [X20] :
( r1(X10,X20)
& p2(X20)
& ~ p102(X20)
& p101(X20) ) )
| p101(X10)
| ~ p100(X10) )
& ( ( ( ! [X21] :
( ~ r1(X10,X21)
| ~ p6(X21)
| ~ p105(X21) )
| p6(X10) )
& ( ! [X22] :
( ~ r1(X10,X22)
| p6(X22)
| ~ p105(X22) )
| ~ p6(X10) ) )
| ~ p105(X10) )
& ( ( ( ! [X23] :
( ~ r1(X10,X23)
| ~ p5(X23)
| ~ p104(X23) )
| p5(X10) )
& ( ! [X24] :
( ~ r1(X10,X24)
| p5(X24)
| ~ p104(X24) )
| ~ p5(X10) ) )
| ~ p104(X10) )
& ( ( ( ! [X25] :
( ~ r1(X10,X25)
| ~ p4(X25)
| ~ p103(X25) )
| p4(X10) )
& ( ! [X26] :
( ~ r1(X10,X26)
| p4(X26)
| ~ p103(X26) )
| ~ p4(X10) ) )
| ~ p103(X10) )
& ( ( ( ! [X27] :
( ~ r1(X10,X27)
| ~ p3(X27)
| ~ p102(X27) )
| p3(X10) )
& ( ! [X28] :
( ~ r1(X10,X28)
| p3(X28)
| ~ p102(X28) )
| ~ p3(X10) ) )
| ~ p102(X10) )
& ( ( ( ! [X29] :
( ~ r1(X10,X29)
| ~ p2(X29)
| ~ p101(X29) )
| p2(X10) )
& ( ! [X30] :
( ~ r1(X10,X30)
| p2(X30)
| ~ p101(X30) )
| ~ p2(X10) ) )
| ~ p101(X10) )
& ( ( ( ! [X31] :
( ~ r1(X10,X31)
| ~ p1(X31)
| ~ p100(X31) )
| p1(X10) )
& ( ! [X32] :
( ~ r1(X10,X32)
| p1(X32)
| ~ p100(X32) )
| ~ p1(X10) ) )
| ~ p100(X10) )
& ( p104(X10)
| ~ p105(X10) )
& ( p103(X10)
| ~ p104(X10) )
& ( p102(X10)
| ~ p103(X10) )
& ( p101(X10)
| ~ p102(X10) )
& ( p100(X10)
| ~ p101(X10) ) ) ) ) ) ) )
& ~ p101(X0)
& p100(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f8,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p3(X5) ) ) ) ) )
& ! [X6] :
( ~ r1(X0,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ( ( ( ? [X11] :
( r1(X10,X11)
& ~ p6(X11)
& p105(X11) )
& ? [X12] :
( r1(X10,X12)
& p6(X12)
& p105(X12) ) )
| p105(X10)
| ~ p104(X10) )
& ( ( ? [X13] :
( r1(X10,X13)
& ~ p5(X13)
& ~ p105(X13)
& p104(X13) )
& ? [X14] :
( r1(X10,X14)
& p5(X14)
& ~ p105(X14)
& p104(X14) ) )
| p104(X10)
| ~ p103(X10) )
& ( ( ? [X15] :
( r1(X10,X15)
& ~ p4(X15)
& ~ p104(X15)
& p103(X15) )
& ? [X16] :
( r1(X10,X16)
& p4(X16)
& ~ p104(X16)
& p103(X16) ) )
| p103(X10)
| ~ p102(X10) )
& ( ( ? [X17] :
( r1(X10,X17)
& ~ p3(X17)
& ~ p103(X17)
& p102(X17) )
& ? [X18] :
( r1(X10,X18)
& p3(X18)
& ~ p103(X18)
& p102(X18) ) )
| p102(X10)
| ~ p101(X10) )
& ( ( ? [X19] :
( r1(X10,X19)
& ~ p2(X19)
& ~ p102(X19)
& p101(X19) )
& ? [X20] :
( r1(X10,X20)
& p2(X20)
& ~ p102(X20)
& p101(X20) ) )
| p101(X10)
| ~ p100(X10) )
& ( ( ( ! [X21] :
( ~ r1(X10,X21)
| ~ p6(X21)
| ~ p105(X21) )
| p6(X10) )
& ( ! [X22] :
( ~ r1(X10,X22)
| p6(X22)
| ~ p105(X22) )
| ~ p6(X10) ) )
| ~ p105(X10) )
& ( ( ( ! [X23] :
( ~ r1(X10,X23)
| ~ p5(X23)
| ~ p104(X23) )
| p5(X10) )
& ( ! [X24] :
( ~ r1(X10,X24)
| p5(X24)
| ~ p104(X24) )
| ~ p5(X10) ) )
| ~ p104(X10) )
& ( ( ( ! [X25] :
( ~ r1(X10,X25)
| ~ p4(X25)
| ~ p103(X25) )
| p4(X10) )
& ( ! [X26] :
( ~ r1(X10,X26)
| p4(X26)
| ~ p103(X26) )
| ~ p4(X10) ) )
| ~ p103(X10) )
& ( ( ( ! [X27] :
( ~ r1(X10,X27)
| ~ p3(X27)
| ~ p102(X27) )
| p3(X10) )
& ( ! [X28] :
( ~ r1(X10,X28)
| p3(X28)
| ~ p102(X28) )
| ~ p3(X10) ) )
| ~ p102(X10) )
& ( ( ( ! [X29] :
( ~ r1(X10,X29)
| ~ p2(X29)
| ~ p101(X29) )
| p2(X10) )
& ( ! [X30] :
( ~ r1(X10,X30)
| p2(X30)
| ~ p101(X30) )
| ~ p2(X10) ) )
| ~ p101(X10) )
& ( ( ( ! [X31] :
( ~ r1(X10,X31)
| ~ p1(X31)
| ~ p100(X31) )
| p1(X10) )
& ( ! [X32] :
( ~ r1(X10,X32)
| p1(X32)
| ~ p100(X32) )
| ~ p1(X10) ) )
| ~ p100(X10) )
& ( p104(X10)
| ~ p105(X10) )
& ( p103(X10)
| ~ p104(X10) )
& ( p102(X10)
| ~ p103(X10) )
& ( p101(X10)
| ~ p102(X10) )
& ( p100(X10)
| ~ p101(X10) ) ) ) ) ) ) )
& ~ p101(X0)
& p100(X0) ),
inference(flattening,[],[f7]) ).
fof(f9,definition,
! [X10] :
( ( ? [X19] :
( r1(X10,X19)
& ~ p2(X19)
& ~ p102(X19)
& p101(X19) )
& ? [X20] :
( r1(X10,X20)
& p2(X20)
& ~ p102(X20)
& p101(X20) ) )
| p101(X10)
| ~ p100(X10)
| ~ sP0(X10) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f10,definition,
! [X10] :
( ( ? [X17] :
( r1(X10,X17)
& ~ p3(X17)
& ~ p103(X17)
& p102(X17) )
& ? [X18] :
( r1(X10,X18)
& p3(X18)
& ~ p103(X18)
& p102(X18) ) )
| p102(X10)
| ~ p101(X10)
| ~ sP1(X10) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f11,definition,
! [X10] :
( ( ? [X15] :
( r1(X10,X15)
& ~ p4(X15)
& ~ p104(X15)
& p103(X15) )
& ? [X16] :
( r1(X10,X16)
& p4(X16)
& ~ p104(X16)
& p103(X16) ) )
| p103(X10)
| ~ p102(X10)
| ~ sP2(X10) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f12,definition,
! [X10] :
( ( ? [X13] :
( r1(X10,X13)
& ~ p5(X13)
& ~ p105(X13)
& p104(X13) )
& ? [X14] :
( r1(X10,X14)
& p5(X14)
& ~ p105(X14)
& p104(X14) ) )
| p104(X10)
| ~ p103(X10)
| ~ sP3(X10) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f13,definition,
! [X10] :
( ( ? [X11] :
( r1(X10,X11)
& ~ p6(X11)
& p105(X11) )
& ? [X12] :
( r1(X10,X12)
& p6(X12)
& p105(X12) ) )
| p105(X10)
| ~ p104(X10)
| ~ sP4(X10) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f14,definition,
! [X10] :
( ( ( ! [X31] :
( ~ r1(X10,X31)
| ~ p1(X31)
| ~ p100(X31) )
| p1(X10) )
& ( ! [X32] :
( ~ r1(X10,X32)
| p1(X32)
| ~ p100(X32) )
| ~ p1(X10) ) )
| ~ p100(X10)
| ~ sP5(X10) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f15,definition,
! [X10] :
( ( ( ! [X29] :
( ~ r1(X10,X29)
| ~ p2(X29)
| ~ p101(X29) )
| p2(X10) )
& ( ! [X30] :
( ~ r1(X10,X30)
| p2(X30)
| ~ p101(X30) )
| ~ p2(X10) ) )
| ~ p101(X10)
| ~ sP6(X10) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f16,definition,
! [X10] :
( ( ( ! [X27] :
( ~ r1(X10,X27)
| ~ p3(X27)
| ~ p102(X27) )
| p3(X10) )
& ( ! [X28] :
( ~ r1(X10,X28)
| p3(X28)
| ~ p102(X28) )
| ~ p3(X10) ) )
| ~ p102(X10)
| ~ sP7(X10) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f17,definition,
! [X10] :
( ( ( ! [X25] :
( ~ r1(X10,X25)
| ~ p4(X25)
| ~ p103(X25) )
| p4(X10) )
& ( ! [X26] :
( ~ r1(X10,X26)
| p4(X26)
| ~ p103(X26) )
| ~ p4(X10) ) )
| ~ p103(X10)
| ~ sP8(X10) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f18,definition,
! [X10] :
( ( ( ! [X23] :
( ~ r1(X10,X23)
| ~ p5(X23)
| ~ p104(X23) )
| p5(X10) )
& ( ! [X24] :
( ~ r1(X10,X24)
| p5(X24)
| ~ p104(X24) )
| ~ p5(X10) ) )
| ~ p104(X10)
| ~ sP9(X10) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f19,definition,
! [X10] :
( ( ( ! [X21] :
( ~ r1(X10,X21)
| ~ p6(X21)
| ~ p105(X21) )
| p6(X10) )
& ( ! [X22] :
( ~ r1(X10,X22)
| p6(X22)
| ~ p105(X22) )
| ~ p6(X10) ) )
| ~ p105(X10)
| ~ sP10(X10) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f20,definition,
! [X10] :
( ( sP4(X10)
& sP3(X10)
& sP2(X10)
& sP1(X10)
& sP0(X10)
& sP10(X10)
& sP9(X10)
& sP8(X10)
& sP7(X10)
& sP6(X10)
& sP5(X10)
& ( p104(X10)
| ~ p105(X10) )
& ( p103(X10)
| ~ p104(X10) )
& ( p102(X10)
| ~ p103(X10) )
& ( p101(X10)
| ~ p102(X10) )
& ( p100(X10)
| ~ p101(X10) ) )
| ~ sP11(X10) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f21,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p3(X5) ) ) ) ) )
& ! [X6] :
( ~ r1(X0,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| sP11(X10) ) ) ) ) )
& ~ p101(X0)
& p100(X0) ),
inference(definition_folding,[],[f8,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f22,plain,
! [X10] :
( ( sP4(X10)
& sP3(X10)
& sP2(X10)
& sP1(X10)
& sP0(X10)
& sP10(X10)
& sP9(X10)
& sP8(X10)
& sP7(X10)
& sP6(X10)
& sP5(X10)
& ( p104(X10)
| ~ p105(X10) )
& ( p103(X10)
| ~ p104(X10) )
& ( p102(X10)
| ~ p103(X10) )
& ( p101(X10)
| ~ p102(X10) )
& ( p100(X10)
| ~ p101(X10) ) )
| ~ sP11(X10) ),
inference(nnf_transformation,[],[f20]) ).
fof(f23,plain,
! [X0] :
( ( sP4(X0)
& sP3(X0)
& sP2(X0)
& sP1(X0)
& sP0(X0)
& sP10(X0)
& sP9(X0)
& sP8(X0)
& sP7(X0)
& sP6(X0)
& sP5(X0)
& ( p104(X0)
| ~ p105(X0) )
& ( p103(X0)
| ~ p104(X0) )
& ( p102(X0)
| ~ p103(X0) )
& ( p101(X0)
| ~ p102(X0) )
& ( p100(X0)
| ~ p101(X0) ) )
| ~ sP11(X0) ),
inference(rectify,[],[f22]) ).
fof(f45,plain,
! [X10] :
( ( ? [X17] :
( r1(X10,X17)
& ~ p3(X17)
& ~ p103(X17)
& p102(X17) )
& ? [X18] :
( r1(X10,X18)
& p3(X18)
& ~ p103(X18)
& p102(X18) ) )
| p102(X10)
| ~ p101(X10)
| ~ sP1(X10) ),
inference(nnf_transformation,[],[f10]) ).
fof(f46,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p3(X1)
& ~ p103(X1)
& p102(X1) )
& ? [X2] :
( r1(X0,X2)
& p3(X2)
& ~ p103(X2)
& p102(X2) ) )
| p102(X0)
| ~ p101(X0)
| ~ sP1(X0) ),
inference(rectify,[],[f45]) ).
fof(f47,plain,
! [X0] :
( ( r1(X0,sK18(X0))
& ~ p3(sK18(X0))
& ~ p103(sK18(X0))
& p102(sK18(X0))
& r1(X0,sK19(X0))
& p3(sK19(X0))
& ~ p103(sK19(X0))
& p102(sK19(X0)) )
| p102(X0)
| ~ p101(X0)
| ~ sP1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19]),skolemize(X1,sK18(X0)),skolemize(X2,sK19(X0))],[f46]) ).
fof(f48,plain,
! [X10] :
( ( ? [X19] :
( r1(X10,X19)
& ~ p2(X19)
& ~ p102(X19)
& p101(X19) )
& ? [X20] :
( r1(X10,X20)
& p2(X20)
& ~ p102(X20)
& p101(X20) ) )
| p101(X10)
| ~ p100(X10)
| ~ sP0(X10) ),
inference(nnf_transformation,[],[f9]) ).
fof(f49,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p2(X1)
& ~ p102(X1)
& p101(X1) )
& ? [X2] :
( r1(X0,X2)
& p2(X2)
& ~ p102(X2)
& p101(X2) ) )
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ),
inference(rectify,[],[f48]) ).
fof(f50,plain,
! [X0] :
( ( r1(X0,sK20(X0))
& ~ p2(sK20(X0))
& ~ p102(sK20(X0))
& p101(sK20(X0))
& r1(X0,sK21(X0))
& p2(sK21(X0))
& ~ p102(sK21(X0))
& p101(sK21(X0)) )
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21]),skolemize(X1,sK20(X0)),skolemize(X2,sK21(X0))],[f49]) ).
fof(f51,plain,
( ! [X1] :
( ~ r1(sK22,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p3(X5) ) ) ) ) )
& ! [X6] :
( ~ r1(sK22,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| sP11(X10) ) ) ) ) )
& ~ p101(sK22)
& p100(sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(X0,sK22)],[f21]) ).
fof(f63,plain,
! [X0] :
( sP0(X0)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f64,plain,
! [X0] :
( sP1(X0)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f108,plain,
! [X0] :
( ~ p3(sK18(X0))
| p102(X0)
| ~ p101(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f109,plain,
! [X0] :
( r1(X0,sK18(X0))
| p102(X0)
| ~ p101(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f110,plain,
! [X0] :
( p101(sK21(X0))
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f111,plain,
! [X0] :
( ~ p102(sK21(X0))
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f113,plain,
! [X0] :
( r1(X0,sK21(X0))
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f118,plain,
p100(sK22),
inference(cnf_transformation,[],[f51]) ).
fof(f119,plain,
~ p101(sK22),
inference(cnf_transformation,[],[f51]) ).
fof(f120,plain,
! [X10,X8,X6,X9,X7] :
( ~ r1(sK22,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| ~ r1(X9,X10)
| sP11(X10) ),
inference(cnf_transformation,[],[f51]) ).
fof(f121,plain,
! [X2,X3,X1,X4,X5] :
( ~ r1(sK22,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| p3(X5) ),
inference(cnf_transformation,[],[f51]) ).
fof(f122,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ r1(sK22,sK22)
| ~ r1(sK22,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| sP11(X2) ),
inference(factoring,[],[f120]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ r1(sK22,sK22)
| ~ r1(sK22,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| p3(X2) ),
inference(factoring,[],[f121]) ).
fof(f132,plain,
! [X0] :
( ~ r1(sK22,sK22)
| ~ r1(sK22,sK22)
| ~ r1(sK22,X0)
| sP11(X0) ),
inference(factoring,[],[f123]) ).
fof(f134,plain,
! [X0] :
( ~ r1(sK22,sK22)
| ~ r1(sK22,X0)
| sP11(X0) ),
inference(duplicate_literal_removal,[],[f132]) ).
fof(f135,plain,
( ~ r1(sK22,sK22)
| sP11(sK22) ),
inference(factoring,[],[f134]) ).
fof(f136,plain,
! [X0] :
( ~ r1(sK22,X0)
| sP11(X0) ),
inference(resolution,[],[f122,f134]) ).
fof(f140,plain,
sP11(sK22),
inference(forward_subsumption_resolution,[],[f135,f122]) ).
fof(f148,plain,
! [X2,X0,X1] :
( ~ r1(sK22,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| p3(X2) ),
inference(forward_subsumption_resolution,[],[f127,f122]) ).
fof(f149,plain,
! [X0,X1] :
( ~ r1(sK22,X0)
| ~ r1(X0,X1)
| p3(X1) ),
inference(resolution,[],[f148,f122]) ).
fof(f260,plain,
( p101(sK22)
| ~ p100(sK22)
| ~ sP0(sK22)
| sP11(sK21(sK22)) ),
inference(resolution,[],[f113,f136]) ).
fof(f266,plain,
! [X0] :
( p101(sK22)
| ~ p100(sK22)
| ~ sP0(sK22)
| ~ r1(sK21(sK22),X0)
| p3(X0) ),
inference(resolution,[],[f113,f149]) ).
fof(f269,plain,
! [X0] :
( ~ p100(sK22)
| ~ sP0(sK22)
| ~ r1(sK21(sK22),X0)
| p3(X0) ),
inference(forward_subsumption_resolution,[],[f266,f119]) ).
fof(f275,plain,
( ~ p100(sK22)
| ~ sP0(sK22)
| sP11(sK21(sK22)) ),
inference(forward_subsumption_resolution,[],[f260,f119]) ).
fof(f279,plain,
! [X0] :
( ~ r1(sK21(sK22),X0)
| ~ sP0(sK22)
| p3(X0) ),
inference(forward_subsumption_resolution,[],[f269,f118]) ).
fof(f285,plain,
( sP11(sK21(sK22))
| ~ sP0(sK22) ),
inference(forward_subsumption_resolution,[],[f275,f118]) ).
fof(f349,plain,
( ~ sP0(sK22)
| p3(sK18(sK21(sK22)))
| p102(sK21(sK22))
| ~ p101(sK21(sK22))
| ~ sP1(sK21(sK22)) ),
inference(resolution,[],[f279,f109]) ).
fof(f353,plain,
( p102(sK21(sK22))
| ~ sP0(sK22)
| ~ p101(sK21(sK22))
| ~ sP1(sK21(sK22)) ),
inference(forward_subsumption_resolution,[],[f349,f108]) ).
fof(f506,plain,
( ~ sP0(sK22)
| ~ p101(sK21(sK22))
| ~ sP1(sK21(sK22))
| p101(sK22)
| ~ p100(sK22)
| ~ sP0(sK22) ),
inference(resolution,[],[f353,f111]) ).
fof(f507,plain,
( ~ sP0(sK22)
| ~ p101(sK21(sK22))
| ~ sP1(sK21(sK22))
| p101(sK22)
| ~ p100(sK22) ),
inference(duplicate_literal_removal,[],[f506]) ).
fof(f508,plain,
( ~ sP0(sK22)
| ~ sP1(sK21(sK22))
| p101(sK22)
| ~ p100(sK22) ),
inference(forward_subsumption_resolution,[],[f507,f110]) ).
fof(f509,plain,
( ~ sP0(sK22)
| ~ sP1(sK21(sK22))
| ~ p100(sK22) ),
inference(forward_subsumption_resolution,[],[f508,f119]) ).
fof(f510,plain,
( ~ sP1(sK21(sK22))
| ~ sP0(sK22) ),
inference(forward_subsumption_resolution,[],[f509,f118]) ).
fof(f525,plain,
( ~ sP0(sK22)
| ~ sP11(sK21(sK22)) ),
inference(resolution,[],[f510,f64]) ).
fof(f526,plain,
~ sP0(sK22),
inference(forward_subsumption_resolution,[],[f525,f285]) ).
fof(f541,plain,
~ sP11(sK22),
inference(resolution,[],[f526,f63]) ).
fof(f542,plain,
$false,
inference(forward_subsumption_resolution,[],[f541,f140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL656+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n003.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 16:21:41 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.36/1.15 % (757595)Detected formulas, will run a generic FOF schedule.
% 2.36/1.15 % (757604)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=840113706:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.36/1.15 % (757604)First to succeed.
% 2.36/1.15 % (757604)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-757595"
% 2.36/1.15 % (757602)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=1214804617:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.36/1.15 % (757605)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2688957632:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.36/1.15 % (757603)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1933316660:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.36/1.15 % (757606)dis-21_1_sil=8000:lcm=predicate:random_seed=3874220376: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)
% 2.36/1.15 % (757601)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=3850942298:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.36/1.15 % (757600)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=2880484753:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.36/1.15 % (757603)Also succeeded, but the first one will report.
% 2.36/1.15 % (757605)Also succeeded, but the first one will report.
% 2.36/1.15 % (757606)Also succeeded, but the first one will report.
% 2.36/1.15 % (757604)Refutation found. Thanks to Tanya!
% 2.36/1.15 % SZS status Theorem for theBenchmark
% 2.36/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 2.58/1.25 % (757604)------------------------------
% 2.58/1.25 % (757604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.25 % (757604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.25 % (757604)CaDiCaL version: 2.1.3
% 2.58/1.25 % (757604)Termination reason: Refutation
% 2.58/1.25 % (757604)Time elapsed: 0.006 s
% 2.58/1.25 % (757604)Peak memory usage: 88 MB
% 2.58/1.25 % (757604)Instructions burned: 18 (million)
% 2.58/1.25 % (757604)------------------------------
% 2.58/1.25 % (757604)------------------------------
% 2.58/1.25 % (757595)Success in time 0.294 s
% 2.58/1.25 % Vampire exiting
%------------------------------------------------------------------------------