%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n013
% 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 12:00:18 PM UTC 2026
% Result : Theorem 0.19s 30.73s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 20 ( 4 unt; 0 def)
% Number of atoms : 744 ( 0 equ)
% Maximal formula atoms : 140 ( 37 avg)
% Number of connectives : 1289 ( 565 ~; 443 |; 281 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 57 ( 18 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 2 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 186 ( 163 !; 23 ?)
% 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)
| $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(flattening,[],[f5]) ).
fof(f9,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)
& $true )
& ! [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,[],[f6]) ).
fof(f10,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f48,plain,
! [X4,X30] :
( p1(X30)
| ~ p2(X30)
| ~ r1(X4,X30)
| ~ r1(sK1,X4) ),
inference(cnf_transformation,[],[f9]) ).
fof(f49,plain,
! [X4,X30] :
( ~ p1(X30)
| p2(X30)
| ~ r1(X4,X30)
| ~ r1(sK1,X4) ),
inference(cnf_transformation,[],[f9]) ).
fof(f74,plain,
! [X4] :
( p1(sK4(X4))
| p2(sK4(X4))
| ~ r1(sK1,X4) ),
inference(cnf_transformation,[],[f9]) ).
fof(f75,plain,
! [X4] :
( ~ p1(sK4(X4))
| ~ p2(sK4(X4))
| ~ r1(sK1,X4) ),
inference(cnf_transformation,[],[f9]) ).
fof(f79,plain,
! [X4] :
( r1(X4,sK4(X4))
| ~ r1(sK1,X4) ),
inference(cnf_transformation,[],[f9]) ).
fof(f111,plain,
! [X0,X1] :
( ~ p2(sK4(X0))
| ~ r1(X1,sK4(X0))
| ~ r1(sK1,X1)
| ~ p2(sK4(X0))
| ~ r1(sK1,X0) ),
inference(resolution,[],[f48,f75]) ).
fof(f112,plain,
! [X0,X1] :
( ~ p2(sK4(X0))
| ~ r1(X1,sK4(X0))
| ~ r1(sK1,X1)
| ~ r1(sK1,X0) ),
inference(duplicate_literal_removal,[],[f111]) ).
fof(f114,plain,
! [X0,X1] :
( p2(sK4(X0))
| ~ r1(X1,sK4(X0))
| ~ r1(sK1,X1)
| p2(sK4(X0))
| ~ r1(sK1,X0) ),
inference(resolution,[],[f49,f74]) ).
fof(f116,plain,
! [X0,X1] :
( p2(sK4(X0))
| ~ r1(X1,sK4(X0))
| ~ r1(sK1,X1)
| ~ r1(sK1,X0) ),
inference(duplicate_literal_removal,[],[f114]) ).
fof(f117,plain,
! [X0,X1] :
( ~ r1(X1,sK4(X0))
| ~ r1(sK1,X1)
| ~ r1(sK1,X0) ),
inference(forward_subsumption_resolution,[],[f116,f112]) ).
fof(f132,plain,
! [X0] :
( ~ r1(sK1,X0)
| ~ r1(sK1,X0)
| ~ r1(sK1,X0) ),
inference(resolution,[],[f117,f79]) ).
fof(f133,plain,
! [X0] : ~ r1(sK1,X0),
inference(duplicate_literal_removal,[],[f132]) ).
fof(f196,plain,
$false,
inference(resolution,[],[f10,f133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL686+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/30.66 % Computer : n013
% 0.16/30.66 % Model : x86_64 x86_64
% 0.16/30.66 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/30.66 % Memory : 8046.5625MB
% 0.16/30.66 % OS : Linux 6.8.0-71-generic
% 0.16/30.66 % CPULimit : 300
% 0.16/30.66 % WCLimit : 300
% 0.16/30.66 % DateTime : Sun Sep 27 16:38:37 UTC 2026
% 0.16/30.66 % CPUTime :
% 0.16/30.66 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/30.70 Running first-order model finding
% 0.16/30.70 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
% 0.19/30.73 % (398135)Will run a generic schedule for satisfiability detection.
% 0.19/30.73 % (398140)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=611322406_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/30.73 % TRYING [1]
% 0.19/30.73 % TRYING [2]
% 0.19/30.73 % TRYING [3]
% 0.19/30.73 % (398141)% WARNING: option uhcvi not known.
% 0.19/30.73 % TRYING [4]
% 0.19/30.73 % (398141)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=63976616:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/30.73 % (398142)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1129945180:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/30.73 % (398144)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2928285954:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/30.73 % (398145)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2201437849:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/30.73 % (398143)dis+10_1_sil=32000:sp=arity:random_seed=2060280916:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/30.73 % TRYING [5]
% 0.19/30.73 % (398146)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1866801443:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/30.73 % (398143) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-398135-398143"...
% 0.19/30.73 % (398144) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-398135-398144"...
% 0.19/30.73 % TRYING [6]
% 0.19/30.73 % (398145) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-398135-398145"...
% 0.19/30.73 % (398144)...printing done.
% 0.19/30.73 % (398143)...printing done.
% 0.19/30.73 % (398144)Refutation found. Thanks to Tanya!
% 0.19/30.73 % SZS status Theorem for theBenchmark
% 0.19/30.73 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/30.74 % (398144)------------------------------
% 0.19/30.74 % (398144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/30.74 % (398144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/30.74 % (398144)CaDiCaL version: 2.1.3
% 0.19/30.74 % (398144)Termination reason: Refutation
% 0.19/30.74 % (398144)Time elapsed: 0.006 s
% 0.19/30.74 % (398144)Peak memory usage: 12 MB
% 0.19/30.74 % (398144)Instructions burned: 11 (million)
% 0.19/30.74 % (398135)Success in time 0.031 s
% 0.19/30.74 % Vampire exiting
%------------------------------------------------------------------------------