%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL674+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 : n018.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 11:55:45 AM UTC 2026
% Result : Theorem 2.59s 1.37s
% Output : Refutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 15
% Syntax : Number of formulae : 65 ( 8 unt; 12 def)
% Number of atoms : 1195 ( 0 equ)
% Maximal formula atoms : 121 ( 18 avg)
% Number of connectives : 2003 ( 873 ~; 615 |; 514 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 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 : 258 ( 212 !; 46 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( r1(X0,X1)
& r1(X1,X2) )
=> r1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ( ! [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(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ( ! [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)],[f3]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ( ! [X2] :
( ~ r1(X0,X2)
| ( ( ( ~ ! [X3] :
( ~ r1(X2,X3)
| ~ ( ~ p6(X3)
& ~ p106(X3)
& p105(X3) ) )
& ~ ! [X4] :
( ~ r1(X2,X4)
| ~ ( p6(X4)
& ~ p106(X4)
& p105(X4) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X5] :
( ~ r1(X2,X5)
| ~ ( ~ p5(X5)
& ~ p105(X5)
& p104(X5) ) )
& ~ ! [X6] :
( ~ r1(X2,X6)
| ~ ( p5(X6)
& ~ p105(X6)
& p104(X6) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X7] :
( ~ r1(X2,X7)
| ~ ( ~ p4(X7)
& ~ p104(X7)
& p103(X7) ) )
& ~ ! [X8] :
( ~ r1(X2,X8)
| ~ ( p4(X8)
& ~ p104(X8)
& p103(X8) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X9] :
( ~ r1(X2,X9)
| ~ ( ~ p3(X9)
& ~ p103(X9)
& p102(X9) ) )
& ~ ! [X10] :
( ~ r1(X2,X10)
| ~ ( p3(X10)
& ~ p103(X10)
& p102(X10) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X11] :
( ~ r1(X2,X11)
| ~ ( ~ p2(X11)
& ~ p102(X11)
& p101(X11) ) )
& ~ ! [X12] :
( ~ r1(X2,X12)
| ~ ( p2(X12)
& ~ p102(X12)
& p101(X12) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X13] :
( ~ r1(X2,X13)
| ~ p6(X13)
| ~ p105(X13) )
| p6(X2) )
& ( ! [X14] :
( ~ r1(X2,X14)
| p6(X14)
| ~ p105(X14) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X15] :
( ~ r1(X2,X15)
| ~ p5(X15)
| ~ p104(X15) )
| p5(X2) )
& ( ! [X16] :
( ~ r1(X2,X16)
| p5(X16)
| ~ p104(X16) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X17] :
( ~ r1(X2,X17)
| ~ p4(X17)
| ~ p103(X17) )
| p4(X2) )
& ( ! [X18] :
( ~ r1(X2,X18)
| p4(X18)
| ~ p103(X18) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X19] :
( ~ r1(X2,X19)
| ~ p3(X19)
| ~ p102(X19) )
| p3(X2) )
& ( ! [X20] :
( ~ r1(X2,X20)
| p3(X20)
| ~ p102(X20) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X21] :
( ~ r1(X2,X21)
| ~ p2(X21)
| ~ p101(X21) )
| p2(X2) )
& ( ! [X22] :
( ~ r1(X2,X22)
| p2(X22)
| ~ p101(X22) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X23] :
( ~ r1(X2,X23)
| ~ p1(X23)
| ~ p100(X23) )
| p1(X2) )
& ( ! [X24] :
( ~ r1(X2,X24)
| p1(X24)
| ~ p100(X24) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) )
& ~ p101(X0)
& p100(X0) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ( ! [X2] :
( ~ r1(X0,X2)
| ( ( ( ~ ! [X3] :
( ~ r1(X2,X3)
| ~ ( ~ p6(X3)
& ~ p106(X3)
& p105(X3) ) )
& ~ ! [X4] :
( ~ r1(X2,X4)
| ~ ( p6(X4)
& ~ p106(X4)
& p105(X4) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X5] :
( ~ r1(X2,X5)
| ~ ( ~ p5(X5)
& ~ p105(X5)
& p104(X5) ) )
& ~ ! [X6] :
( ~ r1(X2,X6)
| ~ ( p5(X6)
& ~ p105(X6)
& p104(X6) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X7] :
( ~ r1(X2,X7)
| ~ ( ~ p4(X7)
& ~ p104(X7)
& p103(X7) ) )
& ~ ! [X8] :
( ~ r1(X2,X8)
| ~ ( p4(X8)
& ~ p104(X8)
& p103(X8) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X9] :
( ~ r1(X2,X9)
| ~ ( ~ p3(X9)
& ~ p103(X9)
& p102(X9) ) )
& ~ ! [X10] :
( ~ r1(X2,X10)
| ~ ( p3(X10)
& ~ p103(X10)
& p102(X10) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X11] :
( ~ r1(X2,X11)
| ~ ( ~ p2(X11)
& ~ p102(X11)
& p101(X11) ) )
& ~ ! [X12] :
( ~ r1(X2,X12)
| ~ ( p2(X12)
& ~ p102(X12)
& p101(X12) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X13] :
( ~ r1(X2,X13)
| ~ p6(X13)
| ~ p105(X13) )
| p6(X2) )
& ( ! [X14] :
( ~ r1(X2,X14)
| p6(X14)
| ~ p105(X14) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X15] :
( ~ r1(X2,X15)
| ~ p5(X15)
| ~ p104(X15) )
| p5(X2) )
& ( ! [X16] :
( ~ r1(X2,X16)
| p5(X16)
| ~ p104(X16) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X17] :
( ~ r1(X2,X17)
| ~ p4(X17)
| ~ p103(X17) )
| p4(X2) )
& ( ! [X18] :
( ~ r1(X2,X18)
| p4(X18)
| ~ p103(X18) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X19] :
( ~ r1(X2,X19)
| ~ p3(X19)
| ~ p102(X19) )
| p3(X2) )
& ( ! [X20] :
( ~ r1(X2,X20)
| p3(X20)
| ~ p102(X20) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X21] :
( ~ r1(X2,X21)
| ~ p2(X21)
| ~ p101(X21) )
| p2(X2) )
& ( ! [X22] :
( ~ r1(X2,X22)
| p2(X22)
| ~ p101(X22) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X23] :
( ~ r1(X2,X23)
| ~ p1(X23)
| ~ p100(X23) )
| p1(X2) )
& ( ! [X24] :
( ~ r1(X2,X24)
| p1(X24)
| ~ p100(X24) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) )
& ~ p101(X0)
& p100(X0) ) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ( ! [X2] :
( ~ r1(X0,X2)
| ( ( ( ~ ! [X3] :
( ~ r1(X2,X3)
| ~ ( ~ p6(X3)
& p105(X3) ) )
& ~ ! [X4] :
( ~ r1(X2,X4)
| ~ ( p6(X4)
& p105(X4) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X5] :
( ~ r1(X2,X5)
| ~ ( ~ p5(X5)
& ~ p105(X5)
& p104(X5) ) )
& ~ ! [X6] :
( ~ r1(X2,X6)
| ~ ( p5(X6)
& ~ p105(X6)
& p104(X6) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X7] :
( ~ r1(X2,X7)
| ~ ( ~ p4(X7)
& ~ p104(X7)
& p103(X7) ) )
& ~ ! [X8] :
( ~ r1(X2,X8)
| ~ ( p4(X8)
& ~ p104(X8)
& p103(X8) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X9] :
( ~ r1(X2,X9)
| ~ ( ~ p3(X9)
& ~ p103(X9)
& p102(X9) ) )
& ~ ! [X10] :
( ~ r1(X2,X10)
| ~ ( p3(X10)
& ~ p103(X10)
& p102(X10) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X11] :
( ~ r1(X2,X11)
| ~ ( ~ p2(X11)
& ~ p102(X11)
& p101(X11) ) )
& ~ ! [X12] :
( ~ r1(X2,X12)
| ~ ( p2(X12)
& ~ p102(X12)
& p101(X12) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X13] :
( ~ r1(X2,X13)
| ~ p6(X13)
| ~ p105(X13) )
| p6(X2) )
& ( ! [X14] :
( ~ r1(X2,X14)
| p6(X14)
| ~ p105(X14) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X15] :
( ~ r1(X2,X15)
| ~ p5(X15)
| ~ p104(X15) )
| p5(X2) )
& ( ! [X16] :
( ~ r1(X2,X16)
| p5(X16)
| ~ p104(X16) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X17] :
( ~ r1(X2,X17)
| ~ p4(X17)
| ~ p103(X17) )
| p4(X2) )
& ( ! [X18] :
( ~ r1(X2,X18)
| p4(X18)
| ~ p103(X18) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X19] :
( ~ r1(X2,X19)
| ~ p3(X19)
| ~ p102(X19) )
| p3(X2) )
& ( ! [X20] :
( ~ r1(X2,X20)
| p3(X20)
| ~ p102(X20) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X21] :
( ~ r1(X2,X21)
| ~ p2(X21)
| ~ p101(X21) )
| p2(X2) )
& ( ! [X22] :
( ~ r1(X2,X22)
| p2(X22)
| ~ p101(X22) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X23] :
( ~ r1(X2,X23)
| ~ p1(X23)
| ~ p100(X23) )
| p1(X2) )
& ( ! [X24] :
( ~ r1(X2,X24)
| p1(X24)
| ~ p100(X24) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) )
& ~ p101(X0)
& p100(X0) ) ),
inference(pure_predicate_removal,[],[f6]) ).
fof(f8,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| ( ( ( ? [X3] :
( r1(X2,X3)
& ~ p6(X3)
& p105(X3) )
& ? [X4] :
( r1(X2,X4)
& p6(X4)
& p105(X4) ) )
| p105(X2)
| ~ p104(X2) )
& ( ( ? [X5] :
( r1(X2,X5)
& ~ p5(X5)
& ~ p105(X5)
& p104(X5) )
& ? [X6] :
( r1(X2,X6)
& p5(X6)
& ~ p105(X6)
& p104(X6) ) )
| p104(X2)
| ~ p103(X2) )
& ( ( ? [X7] :
( r1(X2,X7)
& ~ p4(X7)
& ~ p104(X7)
& p103(X7) )
& ? [X8] :
( r1(X2,X8)
& p4(X8)
& ~ p104(X8)
& p103(X8) ) )
| p103(X2)
| ~ p102(X2) )
& ( ( ? [X9] :
( r1(X2,X9)
& ~ p3(X9)
& ~ p103(X9)
& p102(X9) )
& ? [X10] :
( r1(X2,X10)
& p3(X10)
& ~ p103(X10)
& p102(X10) ) )
| p102(X2)
| ~ p101(X2) )
& ( ( ? [X11] :
( r1(X2,X11)
& ~ p2(X11)
& ~ p102(X11)
& p101(X11) )
& ? [X12] :
( r1(X2,X12)
& p2(X12)
& ~ p102(X12)
& p101(X12) ) )
| p101(X2)
| ~ p100(X2) )
& ( ( ( ! [X13] :
( ~ r1(X2,X13)
| ~ p6(X13)
| ~ p105(X13) )
| p6(X2) )
& ( ! [X14] :
( ~ r1(X2,X14)
| p6(X14)
| ~ p105(X14) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X15] :
( ~ r1(X2,X15)
| ~ p5(X15)
| ~ p104(X15) )
| p5(X2) )
& ( ! [X16] :
( ~ r1(X2,X16)
| p5(X16)
| ~ p104(X16) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X17] :
( ~ r1(X2,X17)
| ~ p4(X17)
| ~ p103(X17) )
| p4(X2) )
& ( ! [X18] :
( ~ r1(X2,X18)
| p4(X18)
| ~ p103(X18) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X19] :
( ~ r1(X2,X19)
| ~ p3(X19)
| ~ p102(X19) )
| p3(X2) )
& ( ! [X20] :
( ~ r1(X2,X20)
| p3(X20)
| ~ p102(X20) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X21] :
( ~ r1(X2,X21)
| ~ p2(X21)
| ~ p101(X21) )
| p2(X2) )
& ( ! [X22] :
( ~ r1(X2,X22)
| p2(X22)
| ~ p101(X22) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X23] :
( ~ r1(X2,X23)
| ~ p1(X23)
| ~ p100(X23) )
| p1(X2) )
& ( ! [X24] :
( ~ r1(X2,X24)
| p1(X24)
| ~ p100(X24) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) )
& ~ p101(X0)
& p100(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| ( ( ( ? [X3] :
( r1(X2,X3)
& ~ p6(X3)
& p105(X3) )
& ? [X4] :
( r1(X2,X4)
& p6(X4)
& p105(X4) ) )
| p105(X2)
| ~ p104(X2) )
& ( ( ? [X5] :
( r1(X2,X5)
& ~ p5(X5)
& ~ p105(X5)
& p104(X5) )
& ? [X6] :
( r1(X2,X6)
& p5(X6)
& ~ p105(X6)
& p104(X6) ) )
| p104(X2)
| ~ p103(X2) )
& ( ( ? [X7] :
( r1(X2,X7)
& ~ p4(X7)
& ~ p104(X7)
& p103(X7) )
& ? [X8] :
( r1(X2,X8)
& p4(X8)
& ~ p104(X8)
& p103(X8) ) )
| p103(X2)
| ~ p102(X2) )
& ( ( ? [X9] :
( r1(X2,X9)
& ~ p3(X9)
& ~ p103(X9)
& p102(X9) )
& ? [X10] :
( r1(X2,X10)
& p3(X10)
& ~ p103(X10)
& p102(X10) ) )
| p102(X2)
| ~ p101(X2) )
& ( ( ? [X11] :
( r1(X2,X11)
& ~ p2(X11)
& ~ p102(X11)
& p101(X11) )
& ? [X12] :
( r1(X2,X12)
& p2(X12)
& ~ p102(X12)
& p101(X12) ) )
| p101(X2)
| ~ p100(X2) )
& ( ( ( ! [X13] :
( ~ r1(X2,X13)
| ~ p6(X13)
| ~ p105(X13) )
| p6(X2) )
& ( ! [X14] :
( ~ r1(X2,X14)
| p6(X14)
| ~ p105(X14) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X15] :
( ~ r1(X2,X15)
| ~ p5(X15)
| ~ p104(X15) )
| p5(X2) )
& ( ! [X16] :
( ~ r1(X2,X16)
| p5(X16)
| ~ p104(X16) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X17] :
( ~ r1(X2,X17)
| ~ p4(X17)
| ~ p103(X17) )
| p4(X2) )
& ( ! [X18] :
( ~ r1(X2,X18)
| p4(X18)
| ~ p103(X18) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X19] :
( ~ r1(X2,X19)
| ~ p3(X19)
| ~ p102(X19) )
| p3(X2) )
& ( ! [X20] :
( ~ r1(X2,X20)
| p3(X20)
| ~ p102(X20) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X21] :
( ~ r1(X2,X21)
| ~ p2(X21)
| ~ p101(X21) )
| p2(X2) )
& ( ! [X22] :
( ~ r1(X2,X22)
| p2(X22)
| ~ p101(X22) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X23] :
( ~ r1(X2,X23)
| ~ p1(X23)
| ~ p100(X23) )
| p1(X2) )
& ( ! [X24] :
( ~ r1(X2,X24)
| p1(X24)
| ~ p100(X24) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) )
& ~ p101(X0)
& p100(X0) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X0,X1)
| ~ r1(X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f11,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X0,X1)
| ~ r1(X1,X2) ),
inference(flattening,[],[f10]) ).
fof(f12,definition,
! [X2] :
( ( ? [X11] :
( r1(X2,X11)
& ~ p2(X11)
& ~ p102(X11)
& p101(X11) )
& ? [X12] :
( r1(X2,X12)
& p2(X12)
& ~ p102(X12)
& p101(X12) ) )
| p101(X2)
| ~ p100(X2)
| ~ sP0(X2) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f13,definition,
! [X2] :
( ( ? [X9] :
( r1(X2,X9)
& ~ p3(X9)
& ~ p103(X9)
& p102(X9) )
& ? [X10] :
( r1(X2,X10)
& p3(X10)
& ~ p103(X10)
& p102(X10) ) )
| p102(X2)
| ~ p101(X2)
| ~ sP1(X2) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f14,definition,
! [X2] :
( ( ? [X7] :
( r1(X2,X7)
& ~ p4(X7)
& ~ p104(X7)
& p103(X7) )
& ? [X8] :
( r1(X2,X8)
& p4(X8)
& ~ p104(X8)
& p103(X8) ) )
| p103(X2)
| ~ p102(X2)
| ~ sP2(X2) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f15,definition,
! [X2] :
( ( ? [X5] :
( r1(X2,X5)
& ~ p5(X5)
& ~ p105(X5)
& p104(X5) )
& ? [X6] :
( r1(X2,X6)
& p5(X6)
& ~ p105(X6)
& p104(X6) ) )
| p104(X2)
| ~ p103(X2)
| ~ sP3(X2) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f16,definition,
! [X2] :
( ( ? [X3] :
( r1(X2,X3)
& ~ p6(X3)
& p105(X3) )
& ? [X4] :
( r1(X2,X4)
& p6(X4)
& p105(X4) ) )
| p105(X2)
| ~ p104(X2)
| ~ sP4(X2) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f17,definition,
! [X2] :
( ( ( ! [X23] :
( ~ r1(X2,X23)
| ~ p1(X23)
| ~ p100(X23) )
| p1(X2) )
& ( ! [X24] :
( ~ r1(X2,X24)
| p1(X24)
| ~ p100(X24) )
| ~ p1(X2) ) )
| ~ p100(X2)
| ~ sP5(X2) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f18,definition,
! [X2] :
( ( ( ! [X21] :
( ~ r1(X2,X21)
| ~ p2(X21)
| ~ p101(X21) )
| p2(X2) )
& ( ! [X22] :
( ~ r1(X2,X22)
| p2(X22)
| ~ p101(X22) )
| ~ p2(X2) ) )
| ~ p101(X2)
| ~ sP6(X2) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f19,definition,
! [X2] :
( ( ( ! [X19] :
( ~ r1(X2,X19)
| ~ p3(X19)
| ~ p102(X19) )
| p3(X2) )
& ( ! [X20] :
( ~ r1(X2,X20)
| p3(X20)
| ~ p102(X20) )
| ~ p3(X2) ) )
| ~ p102(X2)
| ~ sP7(X2) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f20,definition,
! [X2] :
( ( ( ! [X17] :
( ~ r1(X2,X17)
| ~ p4(X17)
| ~ p103(X17) )
| p4(X2) )
& ( ! [X18] :
( ~ r1(X2,X18)
| p4(X18)
| ~ p103(X18) )
| ~ p4(X2) ) )
| ~ p103(X2)
| ~ sP8(X2) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f21,definition,
! [X2] :
( ( ( ! [X15] :
( ~ r1(X2,X15)
| ~ p5(X15)
| ~ p104(X15) )
| p5(X2) )
& ( ! [X16] :
( ~ r1(X2,X16)
| p5(X16)
| ~ p104(X16) )
| ~ p5(X2) ) )
| ~ p104(X2)
| ~ sP9(X2) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f22,definition,
! [X2] :
( ( ( ! [X13] :
( ~ r1(X2,X13)
| ~ p6(X13)
| ~ p105(X13) )
| p6(X2) )
& ( ! [X14] :
( ~ r1(X2,X14)
| p6(X14)
| ~ p105(X14) )
| ~ p6(X2) ) )
| ~ p105(X2)
| ~ sP10(X2) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f23,definition,
! [X2] :
( ( sP4(X2)
& sP3(X2)
& sP2(X2)
& sP1(X2)
& sP0(X2)
& sP10(X2)
& sP9(X2)
& sP8(X2)
& sP7(X2)
& sP6(X2)
& sP5(X2)
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) )
| ~ sP11(X2) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f24,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| sP11(X2) )
& ~ p101(X0)
& p100(X0) ),
inference(definition_folding,[],[f9,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12]) ).
fof(f25,plain,
! [X2] :
( ( sP4(X2)
& sP3(X2)
& sP2(X2)
& sP1(X2)
& sP0(X2)
& sP10(X2)
& sP9(X2)
& sP8(X2)
& sP7(X2)
& sP6(X2)
& sP5(X2)
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) )
| ~ sP11(X2) ),
inference(nnf_transformation,[],[f23]) ).
fof(f26,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,[],[f25]) ).
fof(f48,plain,
! [X2] :
( ( ? [X9] :
( r1(X2,X9)
& ~ p3(X9)
& ~ p103(X9)
& p102(X9) )
& ? [X10] :
( r1(X2,X10)
& p3(X10)
& ~ p103(X10)
& p102(X10) ) )
| p102(X2)
| ~ p101(X2)
| ~ sP1(X2) ),
inference(nnf_transformation,[],[f13]) ).
fof(f49,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,[],[f48]) ).
fof(f50,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))],[f49]) ).
fof(f51,plain,
! [X2] :
( ( ? [X11] :
( r1(X2,X11)
& ~ p2(X11)
& ~ p102(X11)
& p101(X11) )
& ? [X12] :
( r1(X2,X12)
& p2(X12)
& ~ p102(X12)
& p101(X12) ) )
| p101(X2)
| ~ p100(X2)
| ~ sP0(X2) ),
inference(nnf_transformation,[],[f12]) ).
fof(f52,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,[],[f51]) ).
fof(f53,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))],[f52]) ).
fof(f54,plain,
( ! [X1] :
( ~ r1(sK22,X1)
| p3(X1) )
& ! [X2] :
( ~ r1(sK22,X2)
| sP11(X2) )
& ~ p101(sK22)
& p100(sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(X0,sK22)],[f24]) ).
fof(f66,plain,
! [X0] :
( sP0(X0)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f67,plain,
! [X0] :
( sP1(X0)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f111,plain,
! [X0] :
( ~ p3(sK18(X0))
| p102(X0)
| ~ p101(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f112,plain,
! [X0] :
( r1(X0,sK18(X0))
| p102(X0)
| ~ p101(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f113,plain,
! [X0] :
( p101(sK21(X0))
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f114,plain,
! [X0] :
( ~ p102(sK21(X0))
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f116,plain,
! [X0] :
( r1(X0,sK21(X0))
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f121,plain,
p100(sK22),
inference(cnf_transformation,[],[f54]) ).
fof(f122,plain,
~ p101(sK22),
inference(cnf_transformation,[],[f54]) ).
fof(f123,plain,
! [X2] :
( ~ r1(sK22,X2)
| sP11(X2) ),
inference(cnf_transformation,[],[f54]) ).
fof(f124,plain,
! [X1] :
( ~ r1(sK22,X1)
| p3(X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f125,plain,
! [X2,X0,X1] :
( r1(X0,X2)
| ~ r1(X0,X1)
| ~ r1(X1,X2) ),
inference(cnf_transformation,[],[f11]) ).
fof(f126,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f128,plain,
sP11(sK22),
inference(resolution,[],[f126,f123]) ).
fof(f143,plain,
! [X0,X1] :
( ~ r1(sK22,X0)
| ~ r1(X0,X1)
| p3(X1) ),
inference(resolution,[],[f125,f124]) ).
fof(f323,plain,
( p101(sK22)
| ~ p100(sK22)
| ~ sP0(sK22)
| sP11(sK21(sK22)) ),
inference(resolution,[],[f116,f123]) ).
fof(f325,plain,
! [X0] :
( p101(sK22)
| ~ p100(sK22)
| ~ sP0(sK22)
| ~ r1(sK21(sK22),X0)
| p3(X0) ),
inference(resolution,[],[f116,f143]) ).
fof(f348,plain,
! [X0] :
( ~ p100(sK22)
| ~ sP0(sK22)
| ~ r1(sK21(sK22),X0)
| p3(X0) ),
inference(forward_subsumption_resolution,[],[f325,f122]) ).
fof(f350,plain,
( ~ p100(sK22)
| ~ sP0(sK22)
| sP11(sK21(sK22)) ),
inference(forward_subsumption_resolution,[],[f323,f122]) ).
fof(f362,plain,
! [X0] :
( ~ r1(sK21(sK22),X0)
| ~ sP0(sK22)
| p3(X0) ),
inference(forward_subsumption_resolution,[],[f348,f121]) ).
fof(f364,plain,
( sP11(sK21(sK22))
| ~ sP0(sK22) ),
inference(forward_subsumption_resolution,[],[f350,f121]) ).
fof(f453,plain,
( ~ sP0(sK22)
| p3(sK18(sK21(sK22)))
| p102(sK21(sK22))
| ~ p101(sK21(sK22))
| ~ sP1(sK21(sK22)) ),
inference(resolution,[],[f362,f112]) ).
fof(f457,plain,
( p102(sK21(sK22))
| ~ sP0(sK22)
| ~ p101(sK21(sK22))
| ~ sP1(sK21(sK22)) ),
inference(forward_subsumption_resolution,[],[f453,f111]) ).
fof(f625,plain,
( ~ sP0(sK22)
| ~ p101(sK21(sK22))
| ~ sP1(sK21(sK22))
| p101(sK22)
| ~ p100(sK22)
| ~ sP0(sK22) ),
inference(resolution,[],[f457,f114]) ).
fof(f626,plain,
( ~ sP0(sK22)
| ~ p101(sK21(sK22))
| ~ sP1(sK21(sK22))
| p101(sK22)
| ~ p100(sK22) ),
inference(duplicate_literal_removal,[],[f625]) ).
fof(f627,plain,
( ~ sP0(sK22)
| ~ sP1(sK21(sK22))
| p101(sK22)
| ~ p100(sK22) ),
inference(forward_subsumption_resolution,[],[f626,f113]) ).
fof(f628,plain,
( ~ sP0(sK22)
| ~ sP1(sK21(sK22))
| ~ p100(sK22) ),
inference(forward_subsumption_resolution,[],[f627,f122]) ).
fof(f629,plain,
( ~ sP1(sK21(sK22))
| ~ sP0(sK22) ),
inference(forward_subsumption_resolution,[],[f628,f121]) ).
fof(f645,plain,
( ~ sP0(sK22)
| ~ sP11(sK21(sK22)) ),
inference(resolution,[],[f629,f67]) ).
fof(f646,plain,
~ sP0(sK22),
inference(forward_subsumption_resolution,[],[f645,f364]) ).
fof(f662,plain,
~ sP11(sK22),
inference(resolution,[],[f646,f66]) ).
fof(f663,plain,
$false,
inference(forward_subsumption_resolution,[],[f662,f128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL674+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n018.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 16:33:09 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.46 Running first-order theorem proving
% 0.15/0.46 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
% 2.59/1.37 % (2565060)Detected formulas, will run a generic FOF schedule.
% 2.59/1.37 % (2565092)dis-21_1_sil=8000:lcm=predicate:random_seed=1085253189: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)
% 2.59/1.37 % (2565092)Instruction limit reached!
% 2.59/1.37 % (2565092)------------------------------
% 2.59/1.37 % (2565092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.37 % (2565092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.37 % (2565092)CaDiCaL version: 2.1.3
% 2.59/1.37 % (2565092)Termination reason: Instruction limit
% 2.59/1.37 % (2565092)Termination phase: Saturation
% 2.59/1.37 % (2565092)Time elapsed: 0.028 s
% 2.59/1.37 % (2565092)Peak memory usage: 88 MB
% 2.59/1.37 % (2565092)Instructions burned: 130 (million)
% 2.59/1.37 % (2565087)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=1824396624:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.59/1.37 % (2565088)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2070456529:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.59/1.37 % (2565089)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1444245445:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.59/1.37 % (2565085)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=3685099762:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.59/1.37 % (2565084)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=546475872:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.59/1.37 % (2565088)Refutation not found, incomplete strategy
% 2.59/1.37 % (2565088)------------------------------
% 2.59/1.37 % (2565088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.37 % (2565088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.37 % (2565088)CaDiCaL version: 2.1.3
% 2.59/1.37 % (2565088)Termination reason: Refutation not found, incomplete strategy
% 2.59/1.37 % (2565088)Time elapsed: 0.005 s
% 2.59/1.37 % (2565088)Peak memory usage: 88 MB
% 2.59/1.37 % (2565088)Instructions burned: 8 (million)
% 2.59/1.37 % (2565089)First to succeed.
% 2.59/1.37 % (2565089)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2565060"
% 2.59/1.37 % (2565090)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2568766635:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.59/1.37 % (2565090)Instruction limit reached!
% 2.59/1.37 % (2565090)------------------------------
% 2.59/1.37 % (2565090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.37 % (2565090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.37 % (2565090)CaDiCaL version: 2.1.3
% 2.59/1.37 % (2565090)Termination reason: Instruction limit
% 2.59/1.37 % (2565090)Termination phase: Saturation
% 2.59/1.37 % (2565090)Time elapsed: 0.055 s
% 2.59/1.37 % (2565090)Peak memory usage: 88 MB
% 2.59/1.37 % (2565090)Instructions burned: 139 (million)
% 2.59/1.37 % (2565135)lrs+10_1_sil=8000:sp=occurrence:random_seed=1214226406:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.59/1.37 % (2565135)Also succeeded, but the first one will report.
% 2.59/1.37 % (2565155)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3658971661:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.59/1.37 % (2565155)Also succeeded, but the first one will report.
% 2.59/1.37 % (2565088)------------------------------
% 2.59/1.37 % (2565088)------------------------------
% 2.59/1.37 % (2565089)Refutation found. Thanks to Tanya!
% 2.59/1.37 % SZS status Theorem for theBenchmark
% 2.59/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 3.56/1.55 % (2565089)------------------------------
% 3.56/1.55 % (2565089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.55 % (2565089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.55 % (2565089)CaDiCaL version: 2.1.3
% 3.56/1.55 % (2565089)Termination reason: Refutation
% 3.56/1.55 % (2565089)Time elapsed: 0.012 s
% 3.56/1.55 % (2565089)Peak memory usage: 88 MB
% 3.56/1.55 % (2565089)Instructions burned: 22 (million)
% 3.56/1.55 % (2565089)------------------------------
% 3.56/1.55 % (2565089)------------------------------
% 3.56/1.55 % (2565060)Success in time 0.401 s
% 3.56/1.55 % Vampire exiting
%------------------------------------------------------------------------------