%------------------------------------------------------------------------------
% File : Vampire-SAT---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/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 11:59:28 AM UTC 2026
% Result : Theorem 0.17s 0.51s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 14
% Syntax : Number of formulae : 71 ( 15 unt; 12 def)
% Number of atoms : 1268 ( 0 equ)
% Maximal formula atoms : 129 ( 17 avg)
% Number of connectives : 2138 ( 941 ~; 684 |; 513 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 10 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 : 341 ( 295 !; 46 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/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/sandbox2/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(f52,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f64,plain,
! [X0] :
( ~ sP11(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f65,plain,
! [X0] :
( ~ sP11(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f109,plain,
! [X0] :
( ~ sP1(X0)
| p102(X0)
| ~ p101(X0)
| ~ p3(sK18(X0)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f110,plain,
! [X0] :
( ~ sP1(X0)
| p102(X0)
| ~ p101(X0)
| r1(X0,sK18(X0)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f111,plain,
! [X0] :
( ~ sP0(X0)
| p101(X0)
| ~ p100(X0)
| p101(sK21(X0)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f112,plain,
! [X0] :
( ~ sP0(X0)
| p101(X0)
| ~ p100(X0)
| ~ p102(sK21(X0)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f114,plain,
! [X0] :
( ~ sP0(X0)
| p101(X0)
| ~ p100(X0)
| r1(X0,sK21(X0)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f119,plain,
p100(sK22),
inference(cnf_transformation,[],[f51]) ).
fof(f120,plain,
~ p101(sK22),
inference(cnf_transformation,[],[f51]) ).
fof(f121,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(f122,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(f123,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK22,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| p3(X3) ),
inference(resolution,[],[f52,f122]) ).
fof(f124,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK22,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| sP11(X3) ),
inference(resolution,[],[f52,f121]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ r1(sK22,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| p3(X2) ),
inference(resolution,[],[f123,f52]) ).
fof(f126,plain,
! [X0,X1] :
( ~ r1(sK22,X0)
| ~ r1(X0,X1)
| p3(X1) ),
inference(resolution,[],[f125,f52]) ).
fof(f129,plain,
! [X2,X0,X1] :
( ~ r1(sK22,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| sP11(X2) ),
inference(resolution,[],[f124,f52]) ).
fof(f130,plain,
! [X0,X1] :
( ~ r1(sK22,X0)
| ~ r1(X0,X1)
| sP11(X1) ),
inference(resolution,[],[f129,f52]) ).
fof(f131,plain,
! [X0] :
( ~ r1(sK22,X0)
| sP11(X0) ),
inference(resolution,[],[f130,f52]) ).
fof(f132,plain,
sP11(sK22),
inference(resolution,[],[f131,f52]) ).
fof(f139,plain,
sP0(sK22),
inference(resolution,[],[f132,f64]) ).
fof(f175,plain,
( p101(sK22)
| ~ p100(sK22)
| p101(sK21(sK22)) ),
inference(resolution,[],[f111,f139]) ).
fof(f176,plain,
( ~ p100(sK22)
| p101(sK21(sK22)) ),
inference(forward_subsumption_resolution,[],[f175,f120]) ).
fof(f177,plain,
p101(sK21(sK22)),
inference(forward_subsumption_resolution,[],[f176,f119]) ).
fof(f178,plain,
( p101(sK22)
| ~ p100(sK22)
| ~ p102(sK21(sK22)) ),
inference(resolution,[],[f112,f139]) ).
fof(f179,plain,
( ~ p100(sK22)
| ~ p102(sK21(sK22)) ),
inference(forward_subsumption_resolution,[],[f178,f120]) ).
fof(f180,plain,
~ p102(sK21(sK22)),
inference(forward_subsumption_resolution,[],[f179,f119]) ).
fof(f201,plain,
( p101(sK22)
| ~ p100(sK22)
| r1(sK22,sK21(sK22)) ),
inference(resolution,[],[f114,f139]) ).
fof(f202,plain,
( ~ p100(sK22)
| r1(sK22,sK21(sK22)) ),
inference(forward_subsumption_resolution,[],[f201,f120]) ).
fof(f203,plain,
r1(sK22,sK21(sK22)),
inference(forward_subsumption_resolution,[],[f202,f119]) ).
fof(f212,plain,
! [X0] :
( ~ r1(sK21(sK22),X0)
| p3(X0) ),
inference(resolution,[],[f203,f126]) ).
fof(f216,plain,
sP11(sK21(sK22)),
inference(resolution,[],[f203,f131]) ).
fof(f231,plain,
sP1(sK21(sK22)),
inference(resolution,[],[f216,f65]) ).
fof(f286,plain,
( p102(sK21(sK22))
| ~ p101(sK21(sK22))
| ~ p3(sK18(sK21(sK22))) ),
inference(resolution,[],[f231,f109]) ).
fof(f287,plain,
( p102(sK21(sK22))
| ~ p101(sK21(sK22))
| r1(sK21(sK22),sK18(sK21(sK22))) ),
inference(resolution,[],[f231,f110]) ).
fof(f288,plain,
( ~ p101(sK21(sK22))
| r1(sK21(sK22),sK18(sK21(sK22))) ),
inference(forward_subsumption_resolution,[],[f287,f180]) ).
fof(f289,plain,
( ~ p101(sK21(sK22))
| ~ p3(sK18(sK21(sK22))) ),
inference(forward_subsumption_resolution,[],[f286,f180]) ).
fof(f296,plain,
r1(sK21(sK22),sK18(sK21(sK22))),
inference(forward_subsumption_resolution,[],[f288,f177]) ).
fof(f297,plain,
~ p3(sK18(sK21(sK22))),
inference(forward_subsumption_resolution,[],[f289,f177]) ).
fof(f503,plain,
p3(sK18(sK21(sK22))),
inference(resolution,[],[f296,f212]) ).
fof(f506,plain,
$false,
inference(forward_subsumption_resolution,[],[f503,f297]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL656+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 % Computer : n010.cluster.edu
% 0.11/0.41 % Model : x86_64 x86_64
% 0.11/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.41 % Memory : 8046.5625MB
% 0.11/0.41 % OS : Linux 6.8.0-71-generic
% 0.11/0.41 % CPULimit : 300
% 0.11/0.41 % WCLimit : 300
% 0.11/0.42 % DateTime : Sun Sep 27 16:20:17 UTC 2026
% 0.11/0.42 % CPUTime :
% 0.11/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.45 Running first-order model finding
% 0.11/0.45 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.51 % (1140268)Will run a generic schedule for satisfiability detection.
% 0.17/0.51 % (1140273)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=173155819_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.51 % TRYING [1]
% 0.17/0.51 % TRYING [2]
% 0.17/0.51 % TRYING [3]
% 0.17/0.51 % TRYING [4]
% 0.17/0.51 % (1140274)% WARNING: option uhcvi not known.
% 0.17/0.51 % TRYING [5]
% 0.17/0.51 % TRYING [6]
% 0.17/0.51 % (1140274)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=108995181:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.51 % (1140275)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=191875024:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.51 % (1140276)dis+10_1_sil=32000:sp=arity:random_seed=1384305631:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.51 % (1140277)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=159766882:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.51 % (1140279)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1697557583:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.51 % (1140278)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2281304722:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.51 % TRYING [7]
% 0.17/0.51 % TRYING [8]
% 0.17/0.51 % (1140278) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1140268-1140278"...
% 0.17/0.51 % TRYING [9]
% 0.17/0.51 % (1140278)...printing done.
% 0.17/0.51 % (1140278)Refutation found. Thanks to Tanya!
% 0.17/0.51 % SZS status Theorem for theBenchmark
% 0.17/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.51 % (1140278)------------------------------
% 0.17/0.51 % (1140278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.51 % (1140278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.51 % (1140278)CaDiCaL version: 2.1.3
% 0.17/0.51 % (1140278)Termination reason: Refutation
% 0.17/0.51 % (1140278)Time elapsed: 0.009 s
% 0.17/0.51 % (1140278)Peak memory usage: 12 MB
% 0.17/0.51 % (1140278)Instructions burned: 14 (million)
% 0.17/0.51 % (1140268)Success in time 0.046 s
% 0.17/0.51 % Vampire exiting
%------------------------------------------------------------------------------