%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO321+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 09:52:26 AM UTC 2026
% Result : Theorem 6.29s 1.55s
% Output : Refutation 7.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 22
% Syntax : Number of formulae : 128 ( 53 unt; 9 def)
% Number of atoms : 670 ( 204 equ)
% Maximal formula atoms : 26 ( 5 avg)
% Number of connectives : 960 ( 418 ~; 471 |; 60 &)
% ( 9 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 8 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-3 aty)
% Number of variables : 217 ( 0 sgn 204 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vangle(vd1289,vd1287,vd1288) = vangle(vd1302,vd1287,vd1288),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(374, 1342, 0)') ).
fof(f2,negated_conjecture,
vangle(vd1289,vd1287,vd1288) != vangle(vd1302,vd1287,vd1288),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,axiom,
~ rR(vd1287,vd1289,vd1302),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(372))') ).
fof(f9,axiom,
( vd1302 = vd1303
& rR(vd1289,vd1287,vd1302)
& rpoint(vd1303)
& rR(vd1288,vd1287,vd1299) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).
fof(f11,axiom,
( vf(vd1287,vd1288) = vf(vd1287,vd1289)
& vd1288 != vd1289
& vd1287 != vd1289
& vd1287 != vd1288
& ? [X0] :
( vd1289 = X0
& rpoint(X0) )
& ? [X1] :
( vd1288 = X1
& rpoint(X1) )
& ? [X2] :
( vd1287 = X2
& rpoint(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))') ).
fof(f12,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ~ rR(X0,X2,X4)
& ~ rR(X0,X1,X3)
& X4 != X0
& X3 != X0
& X2 != X0
& X1 != X0
& ron(X4,X6)
& ron(X2,X6)
& ron(X3,X5)
& ron(X1,X5)
& ron(X0,X5)
& ? [X7] :
( X6 = X7
& rline(X7) )
& ? [X8] :
( X5 = X8
& rline(X8) )
& ? [X9] :
( X4 = X9
& rpoint(X9) )
& ? [X10] :
( X3 = X10
& rpoint(X10) )
& ? [X11] :
( X2 = X11
& rpoint(X11) )
& ? [X12] :
( X1 = X12
& rpoint(X12) )
& ? [X13] :
( X0 = X13
& rpoint(X13) ) )
=> vangle(X1,X0,X2) = vangle(X3,X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))') ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( rR(X1,X0,X2)
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> ( ~ rR(X0,X1,X2)
& X0 != X2
& X0 != X1
& rR(X1,X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof(f16,axiom,
vd1302 != vd1287,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(conjunct2(371))), 1334, 0)') ).
fof(f57,axiom,
ron(vd1302,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct2(349), 0)') ).
fof(f59,axiom,
ron(vd1289,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(347)), 0)') ).
fof(f61,axiom,
rline(vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(347, 0)') ).
fof(f62,axiom,
ron(vd1288,vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(346)), 0)') ).
fof(f64,axiom,
rline(vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(346, 0)') ).
fof(f73,axiom,
ron(vd1287,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(369)), 0)') ).
fof(f180,plain,
vangle(vd1289,vd1287,vd1288) != vangle(vd1302,vd1287,vd1288),
inference(flattening,[],[f2]) ).
fof(f185,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| rR(X0,X2,X4)
| rR(X0,X1,X3)
| X0 = X4
| X0 = X3
| X0 = X2
| X0 = X1
| ~ ron(X4,X6)
| ~ ron(X2,X6)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| ~ ron(X0,X5)
| ! [X7] :
( X6 != X7
| ~ rline(X7) )
| ! [X8] :
( X5 != X8
| ~ rline(X8) )
| ! [X9] :
( X4 != X9
| ~ rpoint(X9) )
| ! [X10] :
( X3 != X10
| ~ rpoint(X10) )
| ! [X11] :
( X2 != X11
| ~ rpoint(X11) )
| ! [X12] :
( X1 != X12
| ~ rpoint(X12) )
| ! [X13] :
( X0 != X13
| ~ rpoint(X13) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f186,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| rR(X0,X2,X4)
| rR(X0,X1,X3)
| X0 = X4
| X0 = X3
| X0 = X2
| X0 = X1
| ~ ron(X4,X6)
| ~ ron(X2,X6)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| ~ ron(X0,X5)
| ! [X7] :
( X6 != X7
| ~ rline(X7) )
| ! [X8] :
( X5 != X8
| ~ rline(X8) )
| ! [X9] :
( X4 != X9
| ~ rpoint(X9) )
| ! [X10] :
( X3 != X10
| ~ rpoint(X10) )
| ! [X11] :
( X2 != X11
| ~ rpoint(X11) )
| ! [X12] :
( X1 != X12
| ~ rpoint(X12) )
| ! [X13] :
( X0 != X13
| ~ rpoint(X13) ) ),
inference(flattening,[],[f185]) ).
fof(f189,plain,
! [X0,X1,X2] :
( ( ~ rR(X0,X1,X2)
& X0 != X2
& X0 != X1
& rR(X1,X2,X0) )
| ~ rR(X1,X0,X2)
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f190,plain,
! [X0,X1,X2] :
( ( ~ rR(X0,X1,X2)
& X0 != X2
& X0 != X1
& rR(X1,X2,X0) )
| ~ rR(X1,X0,X2)
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f189]) ).
fof(f426,plain,
( vf(vd1287,vd1288) = vf(vd1287,vd1289)
& vd1288 != vd1289
& vd1287 != vd1289
& vd1287 != vd1288
& vd1289 = sK0
& rpoint(sK0)
& vd1288 = sK1
& rpoint(sK1)
& vd1287 = sK2
& rpoint(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f11]) ).
fof(f499,plain,
vangle(vd1289,vd1287,vd1288) != vangle(vd1302,vd1287,vd1288),
inference(cnf_transformation,[],[f180]) ).
fof(f502,plain,
~ rR(vd1287,vd1289,vd1302),
inference(cnf_transformation,[],[f5]) ).
fof(f507,plain,
rpoint(vd1303),
inference(cnf_transformation,[],[f9]) ).
fof(f509,plain,
vd1302 = vd1303,
inference(cnf_transformation,[],[f9]) ).
fof(f511,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f426]) ).
fof(f512,plain,
vd1287 = sK2,
inference(cnf_transformation,[],[f426]) ).
fof(f513,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f426]) ).
fof(f514,plain,
vd1288 = sK1,
inference(cnf_transformation,[],[f426]) ).
fof(f515,plain,
rpoint(sK0),
inference(cnf_transformation,[],[f426]) ).
fof(f516,plain,
vd1289 = sK0,
inference(cnf_transformation,[],[f426]) ).
fof(f517,plain,
vd1287 != vd1288,
inference(cnf_transformation,[],[f426]) ).
fof(f518,plain,
vd1289 != vd1287,
inference(cnf_transformation,[],[f426]) ).
fof(f521,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| rR(X0,X2,X4)
| rR(X0,X1,X3)
| X0 = X4
| X0 = X3
| X0 = X2
| X0 = X1
| ~ ron(X4,X6)
| ~ ron(X2,X6)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| ~ ron(X0,X5)
| X6 != X7
| ~ rline(X7)
| X5 != X8
| ~ rline(X8)
| X4 != X9
| ~ rpoint(X9)
| X3 != X10
| ~ rpoint(X10)
| X2 != X11
| ~ rpoint(X11)
| X1 != X12
| ~ rpoint(X12)
| X0 != X13
| ~ rpoint(X13) ),
inference(cnf_transformation,[],[f186]) ).
fof(f525,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 != X2
| ~ rR(X1,X0,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f190]) ).
fof(f528,plain,
vd1287 != vd1302,
inference(cnf_transformation,[],[f16]) ).
fof(f569,plain,
ron(vd1302,vd1297),
inference(cnf_transformation,[],[f57]) ).
fof(f571,plain,
ron(vd1289,vd1297),
inference(cnf_transformation,[],[f59]) ).
fof(f573,plain,
rline(vd1297),
inference(cnf_transformation,[],[f61]) ).
fof(f574,plain,
ron(vd1288,vd1295),
inference(cnf_transformation,[],[f62]) ).
fof(f576,plain,
rline(vd1295),
inference(cnf_transformation,[],[f64]) ).
fof(f586,plain,
ron(vd1287,vd1297),
inference(cnf_transformation,[],[f73]) ).
fof(f833,plain,
vangle(sK0,sK2,sK1) != vangle(vd1303,sK2,sK1),
inference(definition_unfolding,[],[f499,f516,f512,f514,f509,f512,f514]) ).
fof(f836,plain,
~ rR(sK2,sK0,vd1303),
inference(definition_unfolding,[],[f502,f512,f516,f509]) ).
fof(f842,plain,
sK0 != sK2,
inference(definition_unfolding,[],[f518,f516,f512]) ).
fof(f843,plain,
sK1 != sK2,
inference(definition_unfolding,[],[f517,f512,f514]) ).
fof(f845,plain,
vd1303 != sK2,
inference(definition_unfolding,[],[f528,f512,f509]) ).
fof(f885,plain,
ron(vd1303,vd1297),
inference(definition_unfolding,[],[f569,f509]) ).
fof(f887,plain,
ron(sK0,vd1297),
inference(definition_unfolding,[],[f571,f516]) ).
fof(f889,plain,
ron(sK1,vd1295),
inference(definition_unfolding,[],[f574,f514]) ).
fof(f893,plain,
ron(sK2,vd1297),
inference(definition_unfolding,[],[f586,f512]) ).
fof(f904,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X5,X12,X13] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| rR(X0,X2,X4)
| rR(X0,X1,X3)
| X0 = X4
| X0 = X3
| X0 = X2
| X0 = X1
| ~ ron(X4,X7)
| ~ ron(X2,X7)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| ~ ron(X0,X5)
| ~ rline(X7)
| X5 != X8
| ~ rline(X8)
| X4 != X9
| ~ rpoint(X9)
| X3 != X10
| ~ rpoint(X10)
| X2 != X11
| ~ rpoint(X11)
| X1 != X12
| ~ rpoint(X12)
| X0 != X13
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f521]) ).
fof(f905,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X12,X13] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| rR(X0,X2,X4)
| rR(X0,X1,X3)
| X0 = X4
| X0 = X3
| X0 = X2
| X0 = X1
| ~ ron(X4,X7)
| ~ ron(X2,X7)
| ~ ron(X3,X8)
| ~ ron(X1,X8)
| ~ ron(X0,X8)
| ~ rline(X7)
| ~ rline(X8)
| X4 != X9
| ~ rpoint(X9)
| X3 != X10
| ~ rpoint(X10)
| X2 != X11
| ~ rpoint(X11)
| X1 != X12
| ~ rpoint(X12)
| X0 != X13
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f904]) ).
fof(f906,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X12,X13] :
( vangle(X1,X0,X2) = vangle(X3,X0,X9)
| rR(X0,X2,X9)
| rR(X0,X1,X3)
| X0 = X9
| X0 = X3
| X0 = X2
| X0 = X1
| ~ ron(X9,X7)
| ~ ron(X2,X7)
| ~ ron(X3,X8)
| ~ ron(X1,X8)
| ~ ron(X0,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rpoint(X9)
| X3 != X10
| ~ rpoint(X10)
| X2 != X11
| ~ rpoint(X11)
| X1 != X12
| ~ rpoint(X12)
| X0 != X13
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f905]) ).
fof(f907,plain,
! [X2,X10,X0,X11,X1,X8,X9,X7,X12,X13] :
( vangle(X1,X0,X2) = vangle(X10,X0,X9)
| rR(X0,X2,X9)
| rR(X0,X1,X10)
| X0 = X9
| X0 = X10
| X0 = X2
| X0 = X1
| ~ ron(X9,X7)
| ~ ron(X2,X7)
| ~ ron(X10,X8)
| ~ ron(X1,X8)
| ~ ron(X0,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| X2 != X11
| ~ rpoint(X11)
| X1 != X12
| ~ rpoint(X12)
| X0 != X13
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f906]) ).
fof(f908,plain,
! [X10,X0,X11,X1,X8,X9,X7,X12,X13] :
( vangle(X10,X0,X9) = vangle(X1,X0,X11)
| rR(X0,X11,X9)
| rR(X0,X1,X10)
| X0 = X9
| X0 = X10
| X0 = X11
| X0 = X1
| ~ ron(X9,X7)
| ~ ron(X11,X7)
| ~ ron(X10,X8)
| ~ ron(X1,X8)
| ~ ron(X0,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X1 != X12
| ~ rpoint(X12)
| X0 != X13
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f907]) ).
fof(f909,plain,
! [X10,X0,X11,X8,X9,X7,X12,X13] :
( vangle(X10,X0,X9) = vangle(X12,X0,X11)
| rR(X0,X11,X9)
| rR(X0,X12,X10)
| X0 = X9
| X0 = X10
| X0 = X11
| X0 = X12
| ~ ron(X9,X7)
| ~ ron(X11,X7)
| ~ ron(X10,X8)
| ~ ron(X12,X8)
| ~ ron(X0,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| X0 != X13
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f908]) ).
fof(f910,plain,
! [X10,X11,X8,X9,X7,X12,X13] :
( vangle(X10,X13,X9) = vangle(X12,X13,X11)
| rR(X13,X11,X9)
| rR(X13,X12,X10)
| X9 = X13
| X10 = X13
| X11 = X13
| X12 = X13
| ~ ron(X9,X7)
| ~ ron(X11,X7)
| ~ ron(X10,X8)
| ~ ron(X12,X8)
| ~ ron(X13,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f909]) ).
fof(f918,plain,
! [X2,X3,X1,X4,X5] :
( ~ rR(X1,X2,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f525]) ).
fof(f919,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X3,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f918]) ).
fof(f920,plain,
! [X3,X4,X5] :
( ~ rR(X4,X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f919]) ).
fof(f921,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f920]) ).
fof(f2116,plain,
! [X11,X9,X7] :
( ~ ron(X9,X7)
| ~ ron(X11,X7)
| ~ rline(X7)
| sP51(X11,X9) ),
inference(cnf_transformation,[],[f2116_D]) ).
fof(f2116_D,definition,
! [X9,X11] :
( ! [X7] :
( ~ ron(X9,X7)
| ~ ron(X11,X7)
| ~ rline(X7) )
<=> ~ sP51(X11,X9) ),
introduced(definition,[new_symbols(definition,[sP51])],[general_splitting_component_introduction]) ).
fof(f2117,plain,
! [X10,X11,X8,X9,X12,X13] :
( vangle(X10,X13,X9) = vangle(X12,X13,X11)
| rR(X13,X11,X9)
| rR(X13,X12,X10)
| X9 = X13
| X10 = X13
| X11 = X13
| X12 = X13
| ~ ron(X10,X8)
| ~ ron(X12,X8)
| ~ ron(X13,X8)
| ~ rline(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13)
| ~ sP51(X11,X9) ),
inference(general_splitting,[],[f910,f2116_D]) ).
fof(f2118,plain,
! [X10,X8,X12,X13] :
( ~ ron(X10,X8)
| ~ ron(X12,X8)
| ~ ron(X13,X8)
| ~ rline(X8)
| sP52(X10,X13,X12) ),
inference(cnf_transformation,[],[f2118_D]) ).
fof(f2118_D,definition,
! [X12,X13,X10] :
( ! [X8] :
( ~ ron(X10,X8)
| ~ ron(X12,X8)
| ~ ron(X13,X8)
| ~ rline(X8) )
<=> ~ sP52(X10,X13,X12) ),
introduced(definition,[new_symbols(definition,[sP52])],[general_splitting_component_introduction]) ).
fof(f2119,plain,
! [X10,X11,X9,X12,X13] :
( vangle(X10,X13,X9) = vangle(X12,X13,X11)
| rR(X13,X11,X9)
| rR(X13,X12,X10)
| X9 = X13
| X10 = X13
| X11 = X13
| X12 = X13
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13)
| ~ sP51(X11,X9)
| ~ sP52(X10,X13,X12) ),
inference(general_splitting,[],[f2117,f2118_D]) ).
fof(f2290,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f921]) ).
fof(f2294,definition,
( spl138_1
<=> vangle(sK0,sK2,sK1) = vangle(vd1303,sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl138_1])],[avatar_definition]) ).
fof(f2296,plain,
( vangle(sK0,sK2,sK1) != vangle(vd1303,sK2,sK1)
| spl138_1 ),
inference(avatar_component_clause,[],[f2294]) ).
fof(f2297,plain,
~ spl138_1,
inference(avatar_split_clause,[],[f833,f2294]) ).
fof(f2342,plain,
( ! [X0,X1] :
( vangle(vd1303,sK2,sK1) != vangle(X0,sK2,X1)
| rR(sK2,sK1,X1)
| rR(sK2,sK0,X0)
| sK2 = X1
| sK2 = X0
| sK1 = sK2
| sK0 = sK2
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK0)
| ~ rpoint(sK2)
| ~ sP51(sK1,X1)
| ~ sP52(X0,sK2,sK0) )
| spl138_1 ),
inference(superposition,[],[f2296,f2119]) ).
fof(f2347,plain,
( ! [X0,X1] :
( vangle(vd1303,sK2,sK1) != vangle(X0,sK2,X1)
| rR(sK2,sK1,X1)
| rR(sK2,sK0,X0)
| sK2 = X1
| sK2 = X0
| sK0 = sK2
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK0)
| ~ rpoint(sK2)
| ~ sP51(sK1,X1)
| ~ sP52(X0,sK2,sK0) )
| spl138_1 ),
inference(forward_subsumption_resolution,[],[f2342,f843]) ).
fof(f2394,plain,
( ! [X0,X1] :
( vangle(vd1303,sK2,sK1) != vangle(X0,sK2,X1)
| rR(sK2,sK1,X1)
| rR(sK2,sK0,X0)
| sK2 = X1
| sK2 = X0
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK0)
| ~ rpoint(sK2)
| ~ sP51(sK1,X1)
| ~ sP52(X0,sK2,sK0) )
| spl138_1 ),
inference(forward_subsumption_resolution,[],[f2347,f842]) ).
fof(f2441,plain,
( ! [X0,X1] :
( vangle(vd1303,sK2,sK1) != vangle(X0,sK2,X1)
| rR(sK2,sK1,X1)
| rR(sK2,sK0,X0)
| sK2 = X1
| sK2 = X0
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK0)
| ~ rpoint(sK2)
| ~ sP51(sK1,X1)
| ~ sP52(X0,sK2,sK0) )
| spl138_1 ),
inference(forward_subsumption_resolution,[],[f2394,f513]) ).
fof(f2486,plain,
( ! [X0,X1] :
( vangle(vd1303,sK2,sK1) != vangle(X0,sK2,X1)
| rR(sK2,sK1,X1)
| rR(sK2,sK0,X0)
| sK2 = X1
| sK2 = X0
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| ~ sP51(sK1,X1)
| ~ sP52(X0,sK2,sK0) )
| spl138_1 ),
inference(forward_subsumption_resolution,[],[f2441,f515]) ).
fof(f2497,plain,
( ! [X0,X1] :
( vangle(vd1303,sK2,sK1) != vangle(X0,sK2,X1)
| rR(sK2,sK1,X1)
| rR(sK2,sK0,X0)
| sK2 = X1
| sK2 = X0
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ sP51(sK1,X1)
| ~ sP52(X0,sK2,sK0) )
| spl138_1 ),
inference(forward_subsumption_resolution,[],[f2486,f511]) ).
fof(f3269,definition,
( spl138_6
<=> ! [X0,X1] :
( vangle(vd1303,sK2,sK1) != vangle(X0,sK2,X1)
| rR(sK2,sK1,X1)
| rR(sK2,sK0,X0)
| sK2 = X1
| sK2 = X0
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ sP51(sK1,X1)
| ~ sP52(X0,sK2,sK0) ) ),
introduced(definition,[new_symbols(definition,[spl138_6])],[avatar_definition]) ).
fof(f3270,plain,
( ! [X0,X1] :
( vangle(vd1303,sK2,sK1) != vangle(X0,sK2,X1)
| rR(sK2,sK1,X1)
| rR(sK2,sK0,X0)
| sK2 = X1
| sK2 = X0
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ sP51(sK1,X1)
| ~ sP52(X0,sK2,sK0) )
| ~ spl138_6 ),
inference(avatar_component_clause,[],[f3269]) ).
fof(f3271,plain,
( spl138_6
| spl138_1 ),
inference(avatar_split_clause,[],[f2497,f2294,f3269]) ).
fof(f3372,plain,
( rR(sK2,sK1,sK1)
| rR(sK2,sK0,vd1303)
| sK1 = sK2
| vd1303 = sK2
| ~ rpoint(sK1)
| ~ rpoint(vd1303)
| ~ sP51(sK1,sK1)
| ~ sP52(vd1303,sK2,sK0)
| ~ spl138_6 ),
inference(equality_resolution,[],[f3270]) ).
fof(f3423,plain,
( rR(sK2,sK1,sK1)
| sK1 = sK2
| vd1303 = sK2
| ~ rpoint(sK1)
| ~ rpoint(vd1303)
| ~ sP51(sK1,sK1)
| ~ sP52(vd1303,sK2,sK0)
| ~ spl138_6 ),
inference(forward_subsumption_resolution,[],[f3372,f836]) ).
fof(f3521,plain,
( rR(sK2,sK1,sK1)
| vd1303 = sK2
| ~ rpoint(sK1)
| ~ rpoint(vd1303)
| ~ sP51(sK1,sK1)
| ~ sP52(vd1303,sK2,sK0)
| ~ spl138_6 ),
inference(forward_subsumption_resolution,[],[f3423,f843]) ).
fof(f3569,plain,
( rR(sK2,sK1,sK1)
| ~ rpoint(sK1)
| ~ rpoint(vd1303)
| ~ sP51(sK1,sK1)
| ~ sP52(vd1303,sK2,sK0)
| ~ spl138_6 ),
inference(forward_subsumption_resolution,[],[f3521,f845]) ).
fof(f3617,plain,
( rR(sK2,sK1,sK1)
| ~ rpoint(vd1303)
| ~ sP51(sK1,sK1)
| ~ sP52(vd1303,sK2,sK0)
| ~ spl138_6 ),
inference(forward_subsumption_resolution,[],[f3569,f513]) ).
fof(f3629,plain,
( rR(sK2,sK1,sK1)
| ~ sP51(sK1,sK1)
| ~ sP52(vd1303,sK2,sK0)
| ~ spl138_6 ),
inference(forward_subsumption_resolution,[],[f3617,f507]) ).
fof(f3642,definition,
( spl138_7
<=> sP52(vd1303,sK2,sK0) ),
introduced(definition,[new_symbols(definition,[spl138_7])],[avatar_definition]) ).
fof(f3644,plain,
( ~ sP52(vd1303,sK2,sK0)
| spl138_7 ),
inference(avatar_component_clause,[],[f3642]) ).
fof(f3646,definition,
( spl138_8
<=> sP51(sK1,sK1) ),
introduced(definition,[new_symbols(definition,[spl138_8])],[avatar_definition]) ).
fof(f3648,plain,
( ~ sP51(sK1,sK1)
| spl138_8 ),
inference(avatar_component_clause,[],[f3646]) ).
fof(f3650,definition,
( spl138_9
<=> rR(sK2,sK1,sK1) ),
introduced(definition,[new_symbols(definition,[spl138_9])],[avatar_definition]) ).
fof(f3652,plain,
( rR(sK2,sK1,sK1)
| ~ spl138_9 ),
inference(avatar_component_clause,[],[f3650]) ).
fof(f3653,plain,
( ~ spl138_7
| ~ spl138_8
| spl138_9
| ~ spl138_6 ),
inference(avatar_split_clause,[],[f3629,f3269,f3650,f3646,f3642]) ).
fof(f3654,plain,
( ! [X0] :
( ~ ron(vd1303,X0)
| ~ ron(sK0,X0)
| ~ ron(sK2,X0)
| ~ rline(X0) )
| spl138_7 ),
inference(resolution,[],[f3644,f2118]) ).
fof(f3656,definition,
( spl138_10
<=> ! [X0] :
( ~ ron(vd1303,X0)
| ~ ron(sK0,X0)
| ~ ron(sK2,X0)
| ~ rline(X0) ) ),
introduced(definition,[new_symbols(definition,[spl138_10])],[avatar_definition]) ).
fof(f3657,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK0,X0)
| ~ ron(vd1303,X0)
| ~ rline(X0) )
| ~ spl138_10 ),
inference(avatar_component_clause,[],[f3656]) ).
fof(f3658,plain,
( spl138_10
| spl138_7 ),
inference(avatar_split_clause,[],[f3654,f3642,f3656]) ).
fof(f3666,plain,
( ! [X0] :
( ~ ron(sK1,X0)
| ~ ron(sK1,X0)
| ~ rline(X0) )
| spl138_8 ),
inference(resolution,[],[f3648,f2116]) ).
fof(f3667,plain,
( ! [X0] :
( ~ ron(sK1,X0)
| ~ rline(X0) )
| spl138_8 ),
inference(duplicate_literal_removal,[],[f3666]) ).
fof(f3669,definition,
( spl138_11
<=> ! [X0] :
( ~ ron(sK1,X0)
| ~ rline(X0) ) ),
introduced(definition,[new_symbols(definition,[spl138_11])],[avatar_definition]) ).
fof(f3670,plain,
( ! [X0] :
( ~ ron(sK1,X0)
| ~ rline(X0) )
| ~ spl138_11 ),
inference(avatar_component_clause,[],[f3669]) ).
fof(f3671,plain,
( spl138_11
| spl138_8 ),
inference(avatar_split_clause,[],[f3667,f3646,f3669]) ).
fof(f3677,plain,
( ~ ron(sK0,vd1297)
| ~ ron(vd1303,vd1297)
| ~ rline(vd1297)
| ~ spl138_10 ),
inference(resolution,[],[f3657,f893]) ).
fof(f3914,plain,
( ~ ron(vd1303,vd1297)
| ~ rline(vd1297)
| ~ spl138_10 ),
inference(forward_subsumption_resolution,[],[f3677,f887]) ).
fof(f3926,plain,
( ~ rline(vd1297)
| ~ spl138_10 ),
inference(forward_subsumption_resolution,[],[f3914,f885]) ).
fof(f3927,plain,
( $false
| ~ spl138_10 ),
inference(forward_subsumption_resolution,[],[f3926,f573]) ).
fof(f3928,plain,
~ spl138_10,
inference(avatar_contradiction_clause,[],[f3927]) ).
fof(f3971,plain,
( ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ spl138_9 ),
inference(resolution,[],[f3652,f2290]) ).
fof(f4014,plain,
( ~ rpoint(sK2)
| ~ spl138_9 ),
inference(forward_subsumption_resolution,[],[f3971,f513]) ).
fof(f4041,plain,
( $false
| ~ spl138_9 ),
inference(forward_subsumption_resolution,[],[f4014,f511]) ).
fof(f4042,plain,
~ spl138_9,
inference(avatar_contradiction_clause,[],[f4041]) ).
fof(f4112,plain,
( ~ rline(vd1295)
| ~ spl138_11 ),
inference(resolution,[],[f3670,f889]) ).
fof(f4342,plain,
( $false
| ~ spl138_11 ),
inference(forward_subsumption_resolution,[],[f4112,f576]) ).
fof(f4343,plain,
~ spl138_11,
inference(avatar_contradiction_clause,[],[f4342]) ).
cnf(s1,plain,
~ spl138_1,
inference(sat_conversion,[],[f2297]) ).
cnf(s6,plain,
( spl138_1
| spl138_6 ),
inference(sat_conversion,[],[f3271]) ).
cnf(s7,plain,
( ~ spl138_6
| ~ spl138_7
| ~ spl138_8
| spl138_9 ),
inference(sat_conversion,[],[f3653]) ).
cnf(s8,plain,
( spl138_7
| spl138_10 ),
inference(sat_conversion,[],[f3658]) ).
cnf(s9,plain,
( spl138_8
| spl138_11 ),
inference(sat_conversion,[],[f3671]) ).
cnf(s10,plain,
~ spl138_10,
inference(sat_conversion,[],[f3928]) ).
cnf(s11,plain,
~ spl138_9,
inference(sat_conversion,[],[f4042]) ).
cnf(s12,plain,
~ spl138_11,
inference(sat_conversion,[],[f4343]) ).
cnf(s13,plain,
spl138_8,
inference(rat,[],[s9,s12]) ).
cnf(s14,plain,
spl138_7,
inference(rat,[],[s8,s10]) ).
cnf(s15,plain,
~ spl138_6,
inference(rat,[],[s7,s11,s13,s14]) ).
cnf(s16,plain,
spl138_1,
inference(rat,[],[s6,s15]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s1,s16]) ).
fof(f4361,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO321+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.33 % Computer : n012.cluster.edu
% 0.04/0.33 % Model : x86_64 x86_64
% 0.04/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.33 % Memory : 8046.5625MB
% 0.04/0.33 % OS : Linux 6.8.0-71-generic
% 0.04/0.33 % CPULimit : 300
% 0.04/0.33 % WCLimit : 300
% 0.04/0.33 % DateTime : Sun Sep 27 08:04:50 UTC 2026
% 0.04/0.33 % CPUTime :
% 0.04/0.33 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.35 Running first-order theorem proving
% 0.04/0.35 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
% 6.29/1.55 % (2050971)Detected formulas, will run a generic FOF schedule.
% 6.29/1.55 % (2050979)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3484807453:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.29/1.55 % (2050980)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1653843071:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.29/1.55 % (2050976)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=1904571018:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.29/1.55 % (2050978)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=1857459481:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.29/1.55 % (2050982)dis-21_1_sil=8000:lcm=predicate:random_seed=3881924153: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)
% 6.29/1.55 % (2050977)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=1167942637:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.29/1.55 % (2050981)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3170643025:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.29/1.55 % (2050979)Instruction limit reached!
% 6.29/1.55 % (2050979)------------------------------
% 6.29/1.55 % (2050979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.55 % (2050979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.55 % (2050979)CaDiCaL version: 2.1.3
% 6.29/1.55 % (2050979)Termination reason: Instruction limit
% 6.29/1.55 % (2050979)Termination phase: Saturation
% 6.29/1.55 % (2050979)Time elapsed: 0.030 s
% 6.29/1.55 % (2050979)Peak memory usage: 89 MB
% 6.29/1.55 % (2050979)Instructions burned: 110 (million)
% 6.29/1.55 % (2050980)Instruction limit reached!
% 6.29/1.55 % (2050980)------------------------------
% 6.29/1.55 % (2050980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.55 % (2050980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.55 % (2050980)CaDiCaL version: 2.1.3
% 6.29/1.55 % (2050980)Termination reason: Instruction limit
% 6.29/1.55 % (2050980)Termination phase: Saturation
% 6.29/1.55 % (2050980)Time elapsed: 0.035 s
% 6.29/1.55 % (2050980)Peak memory usage: 89 MB
% 6.29/1.55 % (2050980)Instructions burned: 122 (million)
% 6.29/1.55 % (2050982)Instruction limit reached!
% 6.29/1.55 % (2050982)------------------------------
% 6.29/1.55 % (2050982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.55 % (2050982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.55 % (2050982)CaDiCaL version: 2.1.3
% 6.29/1.55 % (2050982)Termination reason: Instruction limit
% 6.29/1.55 % (2050982)Termination phase: Saturation
% 6.29/1.55 % (2050982)Time elapsed: 0.036 s
% 6.29/1.55 % (2050982)Peak memory usage: 90 MB
% 6.29/1.55 % (2050982)Instructions burned: 129 (million)
% 6.29/1.55 % (2050981)Instruction limit reached!
% 6.29/1.55 % (2050981)------------------------------
% 6.29/1.55 % (2050981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.55 % (2050981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.55 % (2050981)CaDiCaL version: 2.1.3
% 6.29/1.55 % (2050981)Termination reason: Instruction limit
% 6.29/1.55 % (2050981)Termination phase: Saturation
% 6.29/1.55 % (2050981)Time elapsed: 0.047 s
% 6.29/1.55 % (2050981)Peak memory usage: 90 MB
% 6.29/1.55 % (2050981)Instructions burned: 139 (million)
% 6.29/1.55 % (2050990)lrs+10_1_sil=8000:sp=occurrence:random_seed=3884676258:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.29/1.55 % (2050991)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3863048075:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 6.29/1.55 % (2050992)lrs+1011_1_sil=32000:sp=occurrence:random_seed=459487981:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 6.29/1.55 % (2050993)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=4027486523:s2a=on:i=248:s2at=1.23:gtg=position_2998 on theBenchmark for (2998ds/248Mi)
% 6.29/1.55 % (2050991)Instruction limit reached!
% 6.29/1.55 % (2050991)------------------------------
% 6.29/1.55 % (2050991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.55 % (2050991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.55 % (2050991)CaDiCaL version: 2.1.3
% 6.29/1.55 % (2050991)Termination reason: Instruction limit
% 6.29/1.55 % (2050991)Termination phase: Saturation
% 6.29/1.55 % (2050991)Time elapsed: 0.040 s
% 6.29/1.55 % (2050991)Peak memory usage: 89 MB
% 6.29/1.55 % (2050991)Instructions burned: 158 (million)
% 6.29/1.55 % (2050990)Instruction limit reached!
% 6.29/1.55 % (2050990)------------------------------
% 6.29/1.55 % (2050990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.55 % (2050990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.55 % (2050990)CaDiCaL version: 2.1.3
% 6.29/1.55 % (2050990)Termination reason: Instruction limit
% 6.29/1.55 % (2050990)Termination phase: Saturation
% 6.29/1.55 % (2050990)Time elapsed: 0.079 s
% 6.29/1.55 % (2050990)Peak memory usage: 92 MB
% 6.29/1.55 % (2050990)Instructions burned: 287 (million)
% 6.29/1.55 % (2050993)Instruction limit reached!
% 6.29/1.55 % (2050993)------------------------------
% 6.29/1.55 % (2050993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.55 % (2050993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.55 % (2050993)CaDiCaL version: 2.1.3
% 6.29/1.55 % (2050993)Termination reason: Instruction limit
% 6.29/1.55 % (2050993)Termination phase: Saturation
% 6.29/1.55 % (2050993)Time elapsed: 0.064 s
% 6.29/1.55 % (2050993)Peak memory usage: 90 MB
% 6.29/1.55 % (2050993)Instructions burned: 249 (million)
% 6.29/1.55 % (2050992)Instruction limit reached!
% 6.29/1.55 % (2050992)------------------------------
% 6.29/1.55 % (2050992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.55 % (2050992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.55 % (2050992)CaDiCaL version: 2.1.3
% 6.29/1.55 % (2050992)Termination reason: Instruction limit
% 6.29/1.55 % (2050992)Termination phase: Saturation
% 6.29/1.55 % (2050992)Time elapsed: 0.100 s
% 6.29/1.55 % (2050992)Peak memory usage: 92 MB
% 6.29/1.55 % (2050992)Instructions burned: 326 (million)
% 6.29/1.55 % (2050998)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=164093645:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2997 on theBenchmark for (2997ds/294Mi)
% 6.29/1.55 % (2050999)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1002941866:i=2350_2997 on theBenchmark for (2997ds/2350Mi)
% 6.29/1.55 % (2051000)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3150115730:cts=off:i=113:fsr=off:ss=included:sgt=4_2996 on theBenchmark for (2996ds/113Mi)
% 6.29/1.55 % (2050998)Instruction limit reached!
% 6.29/1.55 % (2050998)------------------------------
% 6.29/1.55 % (2050998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.55 % (2050998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.55 % (2050998)CaDiCaL version: 2.1.3
% 6.29/1.55 % (2050998)Termination reason: Instruction limit
% 6.29/1.55 % (2050998)Termination phase: Saturation
% 6.29/1.55 % (2050998)Time elapsed: 0.071 s
% 6.29/1.55 % (2050998)Peak memory usage: 89 MB
% 6.29/1.55 % (2050998)Instructions burned: 296 (million)
% 6.29/1.55 % (2051001)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2642437700:i=127:av=off:fsr=off:sup=off_2996 on theBenchmark for (2996ds/127Mi)
% 6.29/1.55 % (2051000)Instruction limit reached!
% 6.29/1.55 % (2051000)------------------------------
% 6.29/1.55 % (2051000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.55 % (2051000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.55 % (2051000)CaDiCaL version: 2.1.3
% 6.29/1.55 % (2051000)Termination reason: Instruction limit
% 6.29/1.55 % (2051000)Termination phase: Saturation
% 6.29/1.55 % (2051000)Time elapsed: 0.032 s
% 6.29/1.55 % (2051000)Peak memory usage: 90 MB
% 6.29/1.55 % (2051000)Instructions burned: 113 (million)
% 6.29/1.55 % (2051001)Refutation not found, incomplete strategy
% 6.29/1.55 % (2051001)------------------------------
% 6.29/1.55 % (2051001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.55 % (2051001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.55 % (2051001)CaDiCaL version: 2.1.3
% 6.29/1.55 % (2051001)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.55 % (2051001)Time elapsed: 0.012 s
% 6.29/1.55 % (2051001)Peak memory usage: 89 MB
% 6.29/1.55 % (2051001)Instructions burned: 45 (million)
% 6.29/1.55 % (2051005)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=578641690:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2995 on theBenchmark for (2995ds/114Mi)
% 6.29/1.55 % (2051007)lrs+10_1_sil=8000:sp=occurrence:random_seed=1323403764:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2995 on theBenchmark for (2995ds/907Mi)
% 6.29/1.55 % (2051005)Instruction limit reached!
% 6.29/1.55 % (2051005)------------------------------
% 6.29/1.55 % (2051005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.55 % (2051005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.55 % (2051005)CaDiCaL version: 2.1.3
% 6.29/1.55 % (2051005)Termination reason: Instruction limit
% 6.29/1.55 % (2051005)Termination phase: Saturation
% 6.29/1.55 % (2051005)Time elapsed: 0.027 s
% 6.29/1.55 % (2051005)Peak memory usage: 89 MB
% 6.29/1.55 % (2051005)Instructions burned: 119 (million)
% 6.29/1.55 % (2051001)------------------------------
% 6.29/1.55 % (2051001)------------------------------
% 6.29/1.55 % (2051010)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=602403973:i=437:sd=1:aac=none:ss=included_2994 on theBenchmark for (2994ds/437Mi)
% 6.29/1.55 % (2051010)Refutation not found, incomplete strategy
% 6.29/1.55 % (2051010)------------------------------
% 6.29/1.55 % (2051010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.55 % (2051010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.55 % (2051010)CaDiCaL version: 2.1.3
% 6.29/1.55 % (2051010)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.55 % (2051010)Time elapsed: 0.010 s
% 6.29/1.55 % (2051010)Peak memory usage: 89 MB
% 6.29/1.55 % (2051010)Instructions burned: 34 (million)
% 6.29/1.55 % (2051011)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3133578018:i=5202:ss=axioms:sgt=16_2993 on theBenchmark for (2993ds/5202Mi)
% 6.29/1.55 % (2051010)------------------------------
% 6.29/1.55 % (2051010)------------------------------
% 6.29/1.55 % (2051007)Instruction limit reached!
% 6.29/1.55 % (2051007)------------------------------
% 6.29/1.55 % (2051007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.55 % (2051007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.55 % (2051007)CaDiCaL version: 2.1.3
% 6.29/1.55 % (2051007)Termination reason: Instruction limit
% 6.29/1.55 % (2051007)Termination phase: Saturation
% 6.29/1.55 % (2051007)Time elapsed: 0.258 s
% 6.29/1.55 % (2051007)Peak memory usage: 97 MB
% 6.29/1.55 % (2051007)Instructions burned: 909 (million)
% 6.29/1.55 % (2050978)First to succeed.
% 6.29/1.55 % (2050978)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2050971"
% 6.29/1.55 % (2051014)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1302184765:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2992 on theBenchmark for (2992ds/134Mi)
% 6.29/1.55 % (2051015)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=12810201:st=8:i=592:sd=3:ep=RST:ss=axioms_2991 on theBenchmark for (2991ds/592Mi)
% 6.29/1.55 % (2051014)Instruction limit reached!
% 6.29/1.55 % (2051014)------------------------------
% 6.29/1.55 % (2051014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.55 % (2051014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.55 % (2051014)CaDiCaL version: 2.1.3
% 6.29/1.55 % (2051014)Termination reason: Instruction limit
% 6.29/1.55 % (2051014)Termination phase: Saturation
% 6.29/1.55 % (2051014)Time elapsed: 0.036 s
% 6.29/1.55 % (2051014)Peak memory usage: 93 MB
% 6.29/1.55 % (2051014)Instructions burned: 136 (million)
% 6.29/1.55 % (2050978)Refutation found. Thanks to Tanya!
% 6.29/1.55 % SZS status Theorem for theBenchmark
% 6.29/1.55 % SZS output start Proof for theBenchmark
% See solution above
% 7.19/1.64 % (2050978)------------------------------
% 7.19/1.64 % (2050978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.19/1.64 % (2050978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.64 % (2050978)CaDiCaL version: 2.1.3
% 7.19/1.64 % (2050978)Termination reason: Refutation
% 7.19/1.64 % (2050978)Time elapsed: 0.727 s
% 7.19/1.64 % (2050978)Peak memory usage: 138 MB
% 7.19/1.64 % (2050978)Instructions burned: 2495 (million)
% 7.19/1.64 % (2050978)------------------------------
% 7.19/1.64 % (2050978)------------------------------
% 7.19/1.64 % (2050971)Success in time 0.998 s
% 7.19/1.64 % Vampire exiting
%------------------------------------------------------------------------------