%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL026-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 11:50:57 AM UTC 2026
% Result : Unsatisfiable 9.29s 2.52s
% Output : Refutation 12.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 8
% Syntax : Number of formulae : 89 ( 41 unt; 3 def)
% Number of atoms : 152 ( 6 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 128 ( 65 ~; 63 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 230 ( 230 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_2) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(implies(X0,falsehood),falsehood),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_5) ).
fof(f4,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_6) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c0_3) ).
fof(f6,definition,
sF0 = implies(a,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f7,plain,
implies(a,b) = sF0,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF1 = implies(sF0,a),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f9,plain,
implies(sF0,a) = sF1,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF2 = implies(sF1,a),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f11,plain,
implies(sF1,a) = sF2,
inference(reorient_equations,[],[f10]) ).
fof(f12,plain,
~ is_a_theorem(sF2),
inference(definition_folding,[],[f5,f11,f9,f7]) ).
fof(f13,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1,f2]) ).
fof(f14,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f1,f4]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f14,f1]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,X1)))
| is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,X2))) ),
inference(resolution,[],[f49,f4]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X2,X1)) ),
inference(resolution,[],[f13,f49]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f63,f2]) ).
fof(f80,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(resolution,[],[f69,f4]) ).
fof(f81,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f69,f14]) ).
fof(f82,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(resolution,[],[f69,f2]) ).
fof(f87,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(resolution,[],[f81,f2]) ).
fof(f88,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X0,implies(X1,X2)),implies(X0,X2)))),
inference(resolution,[],[f81,f4]) ).
fof(f111,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[],[f82,f81]) ).
fof(f113,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),X3))
| is_a_theorem(implies(X2,X3)) ),
inference(resolution,[],[f82,f63]) ).
fof(f120,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(resolution,[],[f80,f81]) ).
fof(f123,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X0),implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f80,f1]) ).
fof(f215,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X0),X2))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f113,f123]) ).
fof(f216,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(implies(X3,X0),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f113,f14]) ).
fof(f228,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,implies(X0,X2)),implies(X1,X2)))),
inference(resolution,[],[f216,f4]) ).
fof(f237,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1)))),
inference(resolution,[],[f228,f216]) ).
fof(f238,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f228,f81]) ).
fof(f239,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X0,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f228,f49]) ).
fof(f242,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,implies(X0,X2)),implies(X1,X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f228,f1]) ).
fof(f254,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[],[f239,f87]) ).
fof(f257,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(implies(X0,X1),X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f239,f123]) ).
fof(f258,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X1),X2))))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f239,f14]) ).
fof(f291,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f237,f49]) ).
fof(f304,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(implies(X0,X1),X1))),
inference(resolution,[],[f258,f237]) ).
fof(f312,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(resolution,[],[f291,f87]) ).
fof(f342,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X1),X2)),implies(X0,X2))),
inference(resolution,[],[f312,f257]) ).
fof(f357,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f242,f1]) ).
fof(f372,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X1),X2)))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f342,f1]) ).
fof(f383,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X0),X1),X2))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f372,f123]) ).
fof(f453,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X2),X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1) ),
inference(resolution,[],[f383,f1]) ).
fof(f470,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(X2)
| ~ is_a_theorem(implies(X0,implies(X0,X1))) ),
inference(resolution,[],[f453,f14]) ).
fof(f487,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f357,f80]) ).
fof(f488,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f357,f123]) ).
fof(f649,plain,
! [X0] : is_a_theorem(implies(falsehood,X0)),
inference(resolution,[],[f3,f69]) ).
fof(f670,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,falsehood),implies(X0,X1))),
inference(resolution,[],[f649,f257]) ).
fof(f681,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(falsehood,X0),X1))
| is_a_theorem(X1) ),
inference(resolution,[],[f670,f453]) ).
fof(f715,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(falsehood,X2)))),
inference(resolution,[],[f681,f82]) ).
fof(f739,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X2)))
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X2,X1)) ),
inference(resolution,[],[f470,f123]) ).
fof(f1057,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(X2,X0)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f120,f470]) ).
fof(f1096,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[],[f1057,f111]) ).
fof(f1441,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X2) ),
inference(resolution,[],[f488,f1]) ).
fof(f1504,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X2,X3))))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),implies(X1,X3))) ),
inference(resolution,[],[f1441,f4]) ).
fof(f2072,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X0),X2)),implies(X0,X2))),
inference(resolution,[],[f57,f111]) ).
fof(f2654,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(falsehood,X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f715,f739]) ).
fof(f2715,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,falsehood),implies(X1,X2)))),
inference(resolution,[],[f2654,f80]) ).
fof(f2758,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X0,falsehood),X2))),
inference(resolution,[],[f2715,f1057]) ).
fof(f3535,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X0),implies(X1,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f1504,f238]) ).
fof(f3546,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
| is_a_theorem(implies(implies(X1,X2),implies(X1,X3))) ),
inference(resolution,[],[f1504,f1096]) ).
fof(f3599,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X1,X0))
| is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f3535,f1]) ).
fof(f3767,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,implies(X0,X2))),implies(X0,implies(X1,X2)))),
inference(resolution,[],[f3546,f88]) ).
fof(f3959,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X0,X2))))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f3767,f1504]) ).
fof(f3991,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,implies(X0,X1))),implies(X0,X1))),
inference(resolution,[],[f3959,f254]) ).
fof(f4466,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1)))),
inference(resolution,[],[f3991,f215]) ).
fof(f4521,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f4466,f3599]) ).
fof(f4723,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,implies(X0,X2))))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f4521,f3535]) ).
fof(f4779,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X2)))
| ~ is_a_theorem(implies(X1,implies(X0,X2))) ),
inference(resolution,[],[f4723,f123]) ).
fof(f4829,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X1,X0),implies(X3,implies(X1,X2))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f4779,f215]) ).
fof(f4907,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X1,X0))
| is_a_theorem(implies(implies(X3,X1),implies(X3,X2))) ),
inference(resolution,[],[f4829,f1504]) ).
fof(f4995,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X0),X2)))
| is_a_theorem(implies(implies(X3,X0),implies(X3,X2))) ),
inference(resolution,[],[f4907,f1096]) ).
fof(f5059,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X1),X2))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f4995,f13]) ).
fof(f5511,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X2),X3)),implies(X0,implies(X2,X3)))),
inference(resolution,[],[f5059,f2072]) ).
fof(f5616,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X3)))
| is_a_theorem(implies(X0,implies(X2,X3))) ),
inference(resolution,[],[f5511,f1]) ).
fof(f5768,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X2),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f5616,f487]) ).
fof(f5808,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(resolution,[],[f5768,f123]) ).
fof(f5959,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X1),X3))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X3)) ),
inference(resolution,[],[f5808,f1]) ).
fof(f5983,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X1,X3))
| is_a_theorem(implies(X0,implies(X2,X3)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f5959,f123]) ).
fof(f6241,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X2,falsehood),falsehood)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f5983,f3]) ).
fof(f6363,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,falsehood),X0),implies(X1,X0))),
inference(resolution,[],[f6241,f304]) ).
fof(f6425,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,falsehood),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f6363,f3599]) ).
fof(f6787,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(resolution,[],[f6425,f2758]) ).
fof(f6862,plain,
is_a_theorem(implies(implies(sF0,a),a)),
inference(superposition,[],[f6787,f7]) ).
fof(f6864,plain,
is_a_theorem(implies(sF1,a)),
inference(forward_demodulation,[],[f6862,f9]) ).
fof(f6865,plain,
is_a_theorem(sF2),
inference(forward_demodulation,[],[f6864,f11]) ).
fof(f6866,plain,
$false,
inference(forward_subsumption_resolution,[],[f6865,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL026-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 15:13:05 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 9.29/2.52 % (2711815)Input is clausal, will run a generic CNF schedule.
% 9.29/2.52 % (2711914)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=311370108:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.29/2.52 % (2711920)dis-21_1_sil=8000:lcm=predicate:random_seed=1718170860:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 9.29/2.52 % (2711917)lrs+10_1_sil=8000:sp=occurrence:random_seed=2617313538:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.29/2.52 % (2711918)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3968771914:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.29/2.52 % (2711915)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2428684212:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.29/2.52 % (2711916)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1706716155:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.29/2.52 % (2711919)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3528289336:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.29/2.52 % (2711918)Instruction limit reached!
% 9.29/2.52 % (2711918)------------------------------
% 9.29/2.52 % (2711918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.29/2.52 % (2711918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.29/2.52 % (2711918)CaDiCaL version: 2.1.3
% 9.29/2.52 % (2711918)Termination reason: Instruction limit
% 9.29/2.52 % (2711918)Termination phase: Saturation
% 9.29/2.52 % (2711918)Time elapsed: 0.114 s
% 9.29/2.52 % (2711918)Peak memory usage: 88 MB
% 9.29/2.52 % (2711918)Instructions burned: 115 (million)
% 9.29/2.52 % (2711920)Instruction limit reached!
% 9.29/2.52 % (2711920)------------------------------
% 9.29/2.52 % (2711920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.29/2.52 % (2711920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.29/2.52 % (2711920)CaDiCaL version: 2.1.3
% 9.29/2.52 % (2711920)Termination reason: Instruction limit
% 9.29/2.52 % (2711920)Termination phase: Saturation
% 9.29/2.52 % (2711920)Time elapsed: 0.123 s
% 9.29/2.52 % (2711920)Peak memory usage: 89 MB
% 9.29/2.52 % (2711920)Instructions burned: 117 (million)
% 9.29/2.52 % (2711917)Instruction limit reached!
% 9.29/2.52 % (2711917)------------------------------
% 9.29/2.52 % (2711917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.29/2.52 % (2711917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.29/2.52 % (2711917)CaDiCaL version: 2.1.3
% 9.29/2.52 % (2711917)Termination reason: Instruction limit
% 9.29/2.52 % (2711917)Termination phase: Saturation
% 9.29/2.52 % (2711917)Time elapsed: 0.118 s
% 9.29/2.52 % (2711917)Peak memory usage: 89 MB
% 9.29/2.52 % (2711917)Instructions burned: 107 (million)
% 9.29/2.52 % (2711919)Instruction limit reached!
% 9.29/2.52 % (2711919)------------------------------
% 9.29/2.52 % (2711919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.29/2.52 % (2711919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.29/2.52 % (2711919)CaDiCaL version: 2.1.3
% 9.29/2.52 % (2711919)Termination reason: Instruction limit
% 9.29/2.52 % (2711919)Termination phase: Saturation
% 9.29/2.52 % (2711919)Time elapsed: 0.196 s
% 9.29/2.52 % (2711919)Peak memory usage: 89 MB
% 9.29/2.52 % (2711919)Instructions burned: 181 (million)
% 9.29/2.52 % (2711957)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3867842299:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 9.29/2.52 % (2711957)Refutation not found, incomplete strategy
% 9.29/2.52 % (2711957)------------------------------
% 9.29/2.52 % (2711957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.29/2.52 % (2711957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.29/2.52 % (2711957)CaDiCaL version: 2.1.3
% 9.29/2.52 % (2711957)Termination reason: Refutation not found, incomplete strategy
% 9.29/2.52 % (2711957)Time elapsed: 0.001 s
% 9.29/2.52 % (2711957)Peak memory usage: 87 MB
% 9.29/2.52 % (2711960)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=366531497:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 9.29/2.52 % (2711960)Refutation not found, incomplete strategy
% 9.29/2.52 % (2711960)------------------------------
% 9.29/2.52 % (2711960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.29/2.52 % (2711960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.29/2.52 % (2711960)CaDiCaL version: 2.1.3
% 9.29/2.52 % (2711960)Termination reason: Refutation not found, incomplete strategy
% 9.29/2.52 % (2711960)Time elapsed: 0.001 s
% 9.29/2.52 % (2711960)Peak memory usage: 87 MB
% 9.29/2.52 % (2711959)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1921426015:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 9.29/2.52 % (2711966)lrs+10_64_to=lpo:sil=8000:random_seed=3668387750:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 9.29/2.52 % (2711959)Instruction limit reached!
% 9.29/2.52 % (2711959)------------------------------
% 9.29/2.52 % (2711959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.29/2.52 % (2711959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.29/2.52 % (2711959)CaDiCaL version: 2.1.3
% 9.29/2.52 % (2711959)Termination reason: Instruction limit
% 9.29/2.52 % (2711959)Termination phase: Saturation
% 9.29/2.52 % (2711959)Time elapsed: 0.181 s
% 9.29/2.52 % (2711959)Peak memory usage: 89 MB
% 9.29/2.52 % (2711959)Instructions burned: 189 (million)
% 9.29/2.52 % (2711957)------------------------------
% 9.29/2.52 % (2711957)------------------------------
% 9.29/2.52 % (2711966)Instruction limit reached!
% 9.29/2.52 % (2711966)------------------------------
% 9.29/2.52 % (2711966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.29/2.52 % (2711966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.29/2.52 % (2711966)CaDiCaL version: 2.1.3
% 9.29/2.52 % (2711966)Termination reason: Instruction limit
% 9.29/2.52 % (2711966)Termination phase: Saturation
% 9.29/2.52 % (2711966)Time elapsed: 0.133 s
% 9.29/2.52 % (2711966)Peak memory usage: 88 MB
% 9.29/2.52 % (2711966)Instructions burned: 127 (million)
% 9.29/2.52 % (2711960)------------------------------
% 9.29/2.52 % (2711960)------------------------------
% 9.29/2.52 % (2711975)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3687464313:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 9.29/2.52 % (2711978)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1658080022:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 9.29/2.52 % (2711979)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1593145894:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 9.29/2.52 % (2711980)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=975257889:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2990 on theBenchmark for (2990ds/106Mi)
% 9.29/2.52 % (2711975)Instruction limit reached!
% 9.29/2.52 % (2711975)------------------------------
% 9.29/2.52 % (2711975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.29/2.52 % (2711975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.29/2.52 % (2711975)CaDiCaL version: 2.1.3
% 9.29/2.52 % (2711975)Termination reason: Instruction limit
% 9.29/2.52 % (2711975)Termination phase: Saturation
% 9.29/2.52 % (2711975)Time elapsed: 0.204 s
% 9.29/2.52 % (2711975)Peak memory usage: 89 MB
% 9.29/2.52 % (2711975)Instructions burned: 194 (million)
% 9.29/2.52 % (2711978)Instruction limit reached!
% 9.29/2.52 % (2711978)------------------------------
% 9.29/2.52 % (2711978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.29/2.52 % (2711978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.29/2.52 % (2711978)CaDiCaL version: 2.1.3
% 9.29/2.52 % (2711978)Termination reason: Instruction limit
% 9.29/2.52 % (2711978)Termination phase: Saturation
% 9.29/2.52 % (2711978)Time elapsed: 0.172 s
% 9.29/2.52 % (2711978)Peak memory usage: 90 MB
% 9.29/2.52 % (2711978)Instructions burned: 157 (million)
% 9.29/2.52 % (2711980)Instruction limit reached!
% 9.29/2.52 % (2711980)------------------------------
% 9.29/2.52 % (2711980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.29/2.52 % (2711980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.29/2.52 % (2711980)CaDiCaL version: 2.1.3
% 9.29/2.52 % (2711980)Termination reason: Instruction limit
% 9.29/2.52 % (2711980)Termination phase: Saturation
% 9.29/2.52 % (2711980)Time elapsed: 0.105 s
% 9.29/2.52 % (2711980)Peak memory usage: 88 MB
% 9.29/2.52 % (2711980)Instructions burned: 107 (million)
% 9.29/2.52 % (2711914)First to succeed.
% 9.29/2.52 % (2711914)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2711815"
% 9.29/2.52 % (2711915)Also succeeded, but the first one will report.
% 9.29/2.52 % (2711990)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4156947229:i=107_2987 on theBenchmark for (2987ds/107Mi)
% 9.29/2.52 % (2711991)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4282953122:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2987 on theBenchmark for (2987ds/242Mi)
% 9.29/2.52 % (2711990)Refutation not found, incomplete strategy
% 9.29/2.52 % (2711990)------------------------------
% 9.29/2.52 % (2711990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.29/2.52 % (2711990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.29/2.52 % (2711990)CaDiCaL version: 2.1.3
% 9.29/2.52 % (2711990)Termination reason: Refutation not found, incomplete strategy
% 9.29/2.52 % (2711990)Time elapsed: 0.001 s
% 9.29/2.52 % (2711990)Peak memory usage: 86 MB
% 9.29/2.52 % (2711993)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2295095747:cond=fast:i=5208:av=off_2986 on theBenchmark for (2986ds/5208Mi)
% 9.29/2.52 % (2711914)Refutation found. Thanks to Tanya!
% 9.29/2.52 % SZS status Unsatisfiable for theBenchmark
% 9.29/2.52 % SZS output start Proof for theBenchmark
% See solution above
% 12.37/2.78 % (2711914)------------------------------
% 12.37/2.78 % (2711914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.78 % (2711914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.78 % (2711914)CaDiCaL version: 2.1.3
% 12.37/2.78 % (2711914)Termination reason: Refutation
% 12.37/2.78 % (2711914)Time elapsed: 1.282 s
% 12.37/2.78 % (2711914)Peak memory usage: 140 MB
% 12.37/2.78 % (2711914)Instructions burned: 2212 (million)
% 12.37/2.78 % (2711914)------------------------------
% 12.37/2.78 % (2711914)------------------------------
% 12.37/2.78 % (2711815)Success in time 1.669 s
% 12.37/2.78 % Vampire exiting
%------------------------------------------------------------------------------