%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : BOO020-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 09:35:55 AM UTC 2026
% Result : Unsatisfiable 12.03s 2.95s
% Output : Refutation 14.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 4
% Syntax : Number of formulae : 83 ( 66 unt; 0 def)
% Number of atoms : 103 ( 102 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 25 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 162 ( 162 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : add(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',frink1) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( add(add(add(X0,X1),X2),X3) != add(add(X1,X2),X0)
| add(add(add(X0,X1),X2),inverse(X3)) = n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',frink2) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( add(add(add(X0,X1),X2),inverse(X3)) != n0
| add(add(add(X0,X1),X2),X3) = add(add(X1,X2),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',frink3) ).
fof(f4,negated_conjecture,
( add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))) != b
| add(add(a,b),c) != add(a,add(b,c))
| add(b,a) != add(a,b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_huntington) ).
fof(f5,plain,
( b != add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b))))
| add(add(a,b),c) != add(a,add(b,c))
| add(a,b) != add(b,a) ),
inference(reorient_equations,[],[f4]) ).
fof(f6,plain,
! [X2,X0,X1] :
( n0 != add(add(X0,X1),inverse(X2))
| add(add(X0,X1),X2) = add(add(X0,X1),X0) ),
inference(superposition,[],[f3,f1]) ).
fof(f8,plain,
! [X0,X1] :
( n0 != add(X0,inverse(X1))
| add(X0,X0) = add(X0,X1) ),
inference(superposition,[],[f6,f1]) ).
fof(f9,plain,
! [X0,X1] :
( n0 != add(X0,inverse(X1))
| add(X0,X1) = X0 ),
inference(forward_demodulation,[],[f8,f1]) ).
fof(f13,plain,
! [X0] : n0 = add(add(add(X0,X0),X0),inverse(add(add(X0,X0),X0))),
inference(unit_resulting_resolution,[],[f2,f1]) ).
fof(f17,plain,
! [X0] : n0 = add(add(X0,X0),inverse(add(X0,X0))),
inference(forward_demodulation,[],[f13,f1]) ).
fof(f18,plain,
! [X0] : n0 = add(X0,inverse(X0)),
inference(forward_demodulation,[],[f17,f1]) ).
fof(f23,plain,
! [X0,X1] :
( n0 != n0
| add(add(X0,X1),X0) = add(add(X0,X1),add(X0,X1)) ),
inference(superposition,[],[f6,f18]) ).
fof(f24,plain,
! [X2,X0,X1] :
( n0 != n0
| add(add(X1,X2),X0) = add(add(add(X0,X1),X2),add(add(X0,X1),X2)) ),
inference(superposition,[],[f3,f18]) ).
fof(f32,plain,
! [X2,X0,X1] : add(add(X1,X2),X0) = add(add(add(X0,X1),X2),add(add(X0,X1),X2)),
inference(trivial_inequality_removal,[],[f24]) ).
fof(f33,plain,
! [X0,X1] : add(add(X0,X1),X0) = add(add(X0,X1),add(X0,X1)),
inference(trivial_inequality_removal,[],[f23]) ).
fof(f35,plain,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(add(X1,X2),X0),
inference(forward_demodulation,[],[f32,f1]) ).
fof(f36,plain,
! [X0,X1] : add(X0,X1) = add(add(X0,X1),X0),
inference(forward_demodulation,[],[f33,f1]) ).
fof(f45,plain,
! [X0] : n0 = add(n0,X0),
inference(superposition,[],[f36,f18]) ).
fof(f94,plain,
! [X0,X1] : add(X1,X0) = add(add(X0,X1),X1),
inference(superposition,[],[f36,f35]) ).
fof(f135,plain,
! [X0] : add(inverse(X0),X0) = add(n0,inverse(X0)),
inference(superposition,[],[f94,f18]) ).
fof(f136,plain,
! [X0,X1] : add(add(X0,X1),X0) = add(X0,add(X0,X1)),
inference(superposition,[],[f94,f36]) ).
fof(f137,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(add(X0,X1),X2),X0),
inference(superposition,[],[f94,f35]) ).
fof(f138,plain,
! [X2,X0,X1] : add(X1,add(X2,X0)) = add(add(add(X0,X1),X2),X1),
inference(superposition,[],[f94,f35]) ).
fof(f139,plain,
! [X0,X1] : add(add(X0,X1),X0) = add(X0,add(X1,X0)),
inference(superposition,[],[f94,f94]) ).
fof(f140,plain,
! [X0] : add(n0,X0) = add(X0,n0),
inference(superposition,[],[f94,f45]) ).
fof(f168,plain,
! [X0] : n0 = add(X0,n0),
inference(forward_demodulation,[],[f140,f45]) ).
fof(f169,plain,
! [X0,X1] : add(X0,X1) = add(X0,add(X1,X0)),
inference(forward_demodulation,[],[f139,f36]) ).
fof(f170,plain,
! [X2,X0,X1] : add(X1,add(X2,X0)) = add(add(X2,X1),add(X0,X1)),
inference(forward_demodulation,[],[f138,f35]) ).
fof(f171,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X2,X0),add(X0,X1)),
inference(forward_demodulation,[],[f137,f35]) ).
fof(f172,plain,
! [X0,X1] : add(X0,X1) = add(X0,add(X0,X1)),
inference(forward_demodulation,[],[f136,f36]) ).
fof(f173,plain,
! [X0] : n0 = add(inverse(X0),X0),
inference(forward_demodulation,[],[f135,f45]) ).
fof(f183,plain,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(add(X1,X2),add(add(X0,X1),X2)),
inference(superposition,[],[f172,f35]) ).
fof(f194,plain,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(add(X2,X0),add(X0,X1)),
inference(superposition,[],[f35,f172]) ).
fof(f203,plain,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
inference(forward_demodulation,[],[f194,f171]) ).
fof(f210,plain,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X2,add(X1,add(X0,X1))),
inference(forward_demodulation,[],[f183,f170]) ).
fof(f218,plain,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X2,add(X1,X0)),
inference(forward_demodulation,[],[f210,f169]) ).
fof(f242,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(superposition,[],[f218,f1]) ).
fof(f243,plain,
! [X0,X1] : add(add(inverse(X0),X0),X1) = add(X1,n0),
inference(superposition,[],[f218,f18]) ).
fof(f246,plain,
! [X2,X0,X1] : add(X2,add(X0,X1)) = add(add(X0,add(X0,X1)),X2),
inference(superposition,[],[f218,f36]) ).
fof(f338,plain,
! [X2,X0,X1] : add(X2,add(X0,X1)) = add(X0,add(add(X0,X1),X2)),
inference(forward_demodulation,[],[f246,f203]) ).
fof(f341,plain,
! [X0,X1] : n0 = add(add(inverse(X0),X0),X1),
inference(forward_demodulation,[],[f243,f168]) ).
fof(f391,plain,
! [X2,X0,X1] : add(X2,add(X0,X1)) = add(X0,add(X0,add(X1,X2))),
inference(forward_demodulation,[],[f338,f203]) ).
fof(f394,plain,
! [X0,X1] : n0 = add(inverse(X0),add(X0,X1)),
inference(forward_demodulation,[],[f341,f203]) ).
fof(f430,plain,
! [X2,X0,X1] : add(X2,add(X0,X1)) = add(X0,add(X1,X2)),
inference(forward_demodulation,[],[f391,f172]) ).
fof(f742,plain,
! [X2,X0,X1] : add(X2,add(X0,X1)) = add(X1,add(X0,X2)),
inference(superposition,[],[f430,f242]) ).
fof(f748,plain,
! [X0,X1] : add(X0,n0) = add(X1,add(inverse(X1),X0)),
inference(superposition,[],[f430,f18]) ).
fof(f770,plain,
! [X2,X0,X1] : add(X2,add(X0,X1)) = add(X0,add(X2,X1)),
inference(superposition,[],[f430,f242]) ).
fof(f923,plain,
! [X0,X1] : n0 = add(X1,add(inverse(X1),X0)),
inference(forward_demodulation,[],[f748,f168]) ).
fof(f2190,plain,
! [X0,X1] : add(X1,n0) = add(X0,add(X1,inverse(X0))),
inference(superposition,[],[f770,f18]) ).
fof(f2378,plain,
! [X0,X1] : n0 = add(X0,add(X1,inverse(X0))),
inference(forward_demodulation,[],[f2190,f168]) ).
fof(f3099,plain,
! [X0,X1] : n0 = add(X0,add(X1,inverse(add(X1,X0)))),
inference(superposition,[],[f742,f173]) ).
fof(f18973,plain,
! [X0] :
( n0 != n0
| inverse(inverse(X0)) = add(inverse(inverse(X0)),X0) ),
inference(superposition,[],[f9,f173]) ).
fof(f18976,plain,
! [X0] : inverse(inverse(X0)) = add(inverse(inverse(X0)),X0),
inference(trivial_inequality_removal,[],[f18973]) ).
fof(f18981,plain,
! [X0] : inverse(inverse(X0)) = add(X0,inverse(inverse(X0))),
inference(forward_demodulation,[],[f18976,f242]) ).
fof(f19050,plain,
! [X0,X1] : add(X1,inverse(inverse(X0))) = add(X0,add(inverse(inverse(X0)),X1)),
inference(superposition,[],[f430,f18981]) ).
fof(f19065,plain,
! [X0] : n0 = add(X0,inverse(inverse(inverse(X0)))),
inference(superposition,[],[f923,f18981]) ).
fof(f19182,plain,
! [X0] :
( n0 != n0
| add(X0,inverse(inverse(X0))) = X0 ),
inference(superposition,[],[f9,f19065]) ).
fof(f19256,plain,
! [X0] : add(X0,inverse(inverse(X0))) = X0,
inference(trivial_inequality_removal,[],[f19182]) ).
fof(f19403,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f18981,f19256]) ).
fof(f19437,plain,
! [X0,X1] : add(X0,X1) = add(X0,add(inverse(inverse(X0)),X1)),
inference(superposition,[],[f203,f19256]) ).
fof(f19447,plain,
! [X0,X1] : add(X1,X0) = add(X0,add(inverse(inverse(X0)),X1)),
inference(superposition,[],[f430,f19256]) ).
fof(f19592,plain,
! [X0,X1] :
( n0 != add(X1,X0)
| add(X1,inverse(X0)) = X1 ),
inference(superposition,[],[f9,f19403]) ).
fof(f24582,plain,
! [X0,X1] :
( n0 != n0
| add(X0,inverse(add(X1,inverse(X0)))) = X0 ),
inference(superposition,[],[f19592,f2378]) ).
fof(f24583,plain,
! [X0,X1] :
( n0 != n0
| add(X0,inverse(add(X1,inverse(add(X1,X0))))) = X0 ),
inference(superposition,[],[f19592,f3099]) ).
fof(f24620,plain,
! [X0,X1] :
( n0 != n0
| inverse(X0) = add(inverse(X0),inverse(add(X0,X1))) ),
inference(superposition,[],[f19592,f394]) ).
fof(f24626,plain,
! [X0,X1] : inverse(X0) = add(inverse(X0),inverse(add(X0,X1))),
inference(trivial_inequality_removal,[],[f24620]) ).
fof(f24637,plain,
! [X0,X1] : add(X0,inverse(add(X1,inverse(add(X1,X0))))) = X0,
inference(trivial_inequality_removal,[],[f24583]) ).
fof(f24638,plain,
! [X0,X1] : add(X0,inverse(add(X1,inverse(X0)))) = X0,
inference(trivial_inequality_removal,[],[f24582]) ).
fof(f24738,plain,
! [X0,X1] : inverse(X1) = add(inverse(X1),inverse(add(X0,X1))),
inference(superposition,[],[f24626,f19447]) ).
fof(f25576,plain,
! [X2,X0,X1] : add(X1,inverse(X0)) = add(inverse(X0),add(X1,inverse(add(X2,X0)))),
inference(superposition,[],[f770,f24738]) ).
fof(f25783,plain,
! [X0,X1] : add(X1,inverse(add(X1,X0))) = add(add(X1,inverse(add(X1,X0))),inverse(X0)),
inference(superposition,[],[f24638,f24637]) ).
fof(f25921,plain,
! [X0,X1] : add(X1,inverse(add(X1,X0))) = add(inverse(X0),add(X1,inverse(add(X1,X0)))),
inference(forward_demodulation,[],[f25783,f242]) ).
fof(f26016,plain,
! [X0,X1] : add(X1,inverse(X0)) = add(X1,inverse(add(X1,X0))),
inference(forward_demodulation,[],[f25921,f25576]) ).
fof(f26252,plain,
! [X0,X1] : add(X0,inverse(add(inverse(inverse(X0)),X1))) = add(X0,add(inverse(inverse(X0)),inverse(X1))),
inference(superposition,[],[f19437,f26016]) ).
fof(f26278,plain,
! [X0,X1] : add(inverse(X1),inverse(inverse(X0))) = add(X0,inverse(add(inverse(inverse(X0)),X1))),
inference(forward_demodulation,[],[f26252,f19050]) ).
fof(f26397,plain,
! [X0,X1] : add(inverse(X1),X0) = add(X0,inverse(add(X0,X1))),
inference(forward_demodulation,[],[f26278,f19403]) ).
fof(f26638,plain,
! [X0,X1] : add(inverse(X0),X1) = add(X1,inverse(add(X0,X1))),
inference(superposition,[],[f26397,f242]) ).
fof(f27242,plain,
! [X0,X1] : add(inverse(X1),inverse(add(X0,X1))) = add(inverse(add(X0,X1)),inverse(add(inverse(X0),X1))),
inference(superposition,[],[f26638,f26638]) ).
fof(f27492,plain,
! [X0,X1] : inverse(X1) = add(inverse(add(X0,X1)),inverse(add(inverse(X0),X1))),
inference(forward_demodulation,[],[f27242,f24738]) ).
fof(f35974,plain,
( b != inverse(inverse(b))
| add(add(a,b),c) != add(a,add(b,c))
| add(a,b) != add(b,a) ),
inference(superposition,[],[f5,f27492]) ).
fof(f36134,plain,
( add(add(a,b),c) != add(a,add(b,c))
| add(a,b) != add(b,a) ),
inference(forward_subsumption_resolution,[],[f35974,f19403]) ).
fof(f36306,plain,
add(a,b) != add(b,a),
inference(forward_subsumption_resolution,[],[f36134,f203]) ).
fof(f36421,plain,
$false,
inference(forward_subsumption_resolution,[],[f36306,f242]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : BOO020-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.28/0.30 % Computer : n001.cluster.edu
% 0.28/0.30 % Model : x86_64 x86_64
% 0.28/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.28/0.30 % Memory : 8046.5625MB
% 0.28/0.30 % OS : Linux 6.8.0-71-generic
% 0.28/0.30 % CPULimit : 300
% 0.28/0.30 % WCLimit : 300
% 0.28/0.30 % DateTime : Mon Sep 28 21:10:19 UTC 2026
% 0.28/0.31 % CPUTime :
% 0.28/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.28/0.37 Running first-order theorem proving
% 0.28/0.37 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
% 12.03/2.95 % (751503)Input is clausal, will run a generic CNF schedule.
% 12.03/2.95 % (751509)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=352158698:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 12.03/2.95 % (751508)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=3466089554:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 12.03/2.95 % (751510)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1147107770:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 12.03/2.95 % (751511)lrs+10_1_sil=8000:sp=occurrence:random_seed=3150210701:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 12.03/2.95 % (751512)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4128253365:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 12.03/2.95 % (751513)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3462847195:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 12.03/2.95 % (751514)dis-21_1_sil=8000:lcm=predicate:random_seed=3140636861: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)
% 12.03/2.95 % (751514)Refutation not found, incomplete strategy
% 12.03/2.95 % (751514)------------------------------
% 12.03/2.95 % (751514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.03/2.95 % (751514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.03/2.95 % (751514)CaDiCaL version: 2.1.3
% 12.03/2.95 % (751514)Termination reason: Refutation not found, incomplete strategy
% 12.03/2.95 % (751514)Time elapsed: 0.002 s
% 12.03/2.95 % (751514)Peak memory usage: 88 MB
% 12.03/2.95 % (751511)Instruction limit reached!
% 12.03/2.95 % (751511)------------------------------
% 12.03/2.95 % (751511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.03/2.95 % (751511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.03/2.95 % (751511)CaDiCaL version: 2.1.3
% 12.03/2.95 % (751511)Termination reason: Instruction limit
% 12.03/2.95 % (751511)Termination phase: Saturation
% 12.03/2.95 % (751511)Time elapsed: 0.095 s
% 12.03/2.95 % (751511)Peak memory usage: 88 MB
% 12.03/2.95 % (751511)Instructions burned: 108 (million)
% 12.03/2.95 % (751512)Instruction limit reached!
% 12.03/2.95 % (751512)------------------------------
% 12.03/2.95 % (751512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.03/2.95 % (751512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.03/2.95 % (751512)CaDiCaL version: 2.1.3
% 12.03/2.95 % (751512)Termination reason: Instruction limit
% 12.03/2.95 % (751512)Termination phase: Saturation
% 12.03/2.95 % (751512)Time elapsed: 0.097 s
% 12.03/2.95 % (751512)Peak memory usage: 88 MB
% 12.03/2.95 % (751512)Instructions burned: 114 (million)
% 12.03/2.95 % (751513)Instruction limit reached!
% 12.03/2.95 % (751513)------------------------------
% 12.03/2.95 % (751513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.03/2.95 % (751513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.03/2.95 % (751513)CaDiCaL version: 2.1.3
% 12.03/2.95 % (751513)Termination reason: Instruction limit
% 12.03/2.95 % (751513)Termination phase: Saturation
% 12.03/2.95 % (751513)Time elapsed: 0.158 s
% 12.03/2.95 % (751513)Peak memory usage: 89 MB
% 12.03/2.95 % (751513)Instructions burned: 180 (million)
% 12.03/2.95 % (751522)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=1684323538:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 12.03/2.95 % (751522)Refutation not found, incomplete strategy
% 12.03/2.95 % (751522)------------------------------
% 12.03/2.95 % (751522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.03/2.95 % (751522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.03/2.95 % (751522)CaDiCaL version: 2.1.3
% 12.03/2.95 % (751522)Termination reason: Refutation not found, incomplete strategy
% 12.03/2.95 % (751522)Time elapsed: 0.002 s
% 12.03/2.95 % (751522)Peak memory usage: 88 MB
% 12.03/2.95 % (751523)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=713548290: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)
% 12.03/2.95 % (751523)Refutation not found, incomplete strategy
% 12.03/2.95 % (751523)------------------------------
% 12.03/2.95 % (751523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.03/2.95 % (751523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.03/2.95 % (751523)CaDiCaL version: 2.1.3
% 12.03/2.95 % (751523)Termination reason: Refutation not found, incomplete strategy
% 12.03/2.95 % (751523)Time elapsed: 0.002 s
% 12.03/2.95 % (751523)Peak memory usage: 88 MB
% 12.03/2.95 % (751514)------------------------------
% 12.03/2.95 % (751514)------------------------------
% 12.03/2.95 % (751524)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3480559927:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 12.03/2.95 % (751524)Refutation not found, incomplete strategy
% 12.03/2.95 % (751524)------------------------------
% 12.03/2.95 % (751524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.03/2.95 % (751524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.03/2.95 % (751524)CaDiCaL version: 2.1.3
% 12.03/2.95 % (751524)Termination reason: Refutation not found, incomplete strategy
% 12.03/2.95 % (751524)Time elapsed: 0.002 s
% 12.03/2.95 % (751524)Peak memory usage: 88 MB
% 12.03/2.95 % (751527)lrs+10_64_to=lpo:sil=8000:random_seed=1426316583:i=126:bd=preordered_2992 on theBenchmark for (2992ds/126Mi)
% 12.03/2.95 % (751523)------------------------------
% 12.03/2.95 % (751523)------------------------------
% 12.03/2.95 % (751522)------------------------------
% 12.03/2.95 % (751522)------------------------------
% 12.03/2.95 % (751527)Instruction limit reached!
% 12.03/2.95 % (751527)------------------------------
% 12.03/2.95 % (751527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.03/2.95 % (751527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.03/2.95 % (751527)CaDiCaL version: 2.1.3
% 12.03/2.95 % (751527)Termination reason: Instruction limit
% 12.03/2.95 % (751527)Termination phase: Saturation
% 12.03/2.95 % (751527)Time elapsed: 0.113 s
% 12.03/2.95 % (751527)Peak memory usage: 88 MB
% 12.03/2.95 % (751527)Instructions burned: 127 (million)
% 12.03/2.95 % (751524)------------------------------
% 12.03/2.95 % (751524)------------------------------
% 12.03/2.95 % (751531)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1432814442:i=157:gtg=all_2989 on theBenchmark for (2989ds/157Mi)
% 12.03/2.95 % (751530)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2363480634:avsq=on:i=194:fgj=on:bd=preordered_2989 on theBenchmark for (2989ds/194Mi)
% 12.03/2.95 % (751532)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2830998039:i=3394:sd=4:ss=included:sgt=64_2988 on theBenchmark for (2988ds/3394Mi)
% 12.03/2.95 % (751533)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=2581628830:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2988 on theBenchmark for (2988ds/106Mi)
% 12.03/2.95 % (751531)Instruction limit reached!
% 12.03/2.95 % (751531)------------------------------
% 12.03/2.95 % (751531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.03/2.95 % (751531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.03/2.95 % (751531)CaDiCaL version: 2.1.3
% 12.03/2.95 % (751531)Termination reason: Instruction limit
% 12.03/2.95 % (751531)Termination phase: Saturation
% 12.03/2.95 % (751531)Time elapsed: 0.152 s
% 12.03/2.95 % (751531)Peak memory usage: 90 MB
% 12.03/2.95 % (751531)Instructions burned: 157 (million)
% 12.03/2.95 % (751530)Instruction limit reached!
% 12.03/2.95 % (751530)------------------------------
% 12.03/2.95 % (751530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.03/2.95 % (751530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.03/2.95 % (751530)CaDiCaL version: 2.1.3
% 12.03/2.95 % (751530)Termination reason: Instruction limit
% 12.03/2.95 % (751530)Termination phase: Saturation
% 12.03/2.95 % (751530)Time elapsed: 0.179 s
% 12.03/2.95 % (751530)Peak memory usage: 89 MB
% 12.03/2.95 % (751530)Instructions burned: 194 (million)
% 12.03/2.95 % (751509)First to succeed.
% 12.03/2.95 % (751533)Instruction limit reached!
% 12.03/2.95 % (751533)------------------------------
% 12.03/2.95 % (751533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.03/2.95 % (751533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.03/2.95 % (751533)CaDiCaL version: 2.1.3
% 12.03/2.95 % (751533)Termination reason: Instruction limit
% 12.03/2.95 % (751533)Termination phase: Saturation
% 12.03/2.95 % (751533)Time elapsed: 0.107 s
% 12.03/2.95 % (751533)Peak memory usage: 89 MB
% 12.03/2.95 % (751533)Instructions burned: 106 (million)
% 12.03/2.95 % (751509)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-751503"
% 12.03/2.95 % (751538)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4086010734:i=107_2984 on theBenchmark for (2984ds/107Mi)
% 12.03/2.95 % (751538)Refutation not found, incomplete strategy
% 12.03/2.95 % (751538)------------------------------
% 12.03/2.95 % (751538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.03/2.95 % (751538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.03/2.95 % (751538)CaDiCaL version: 2.1.3
% 12.03/2.95 % (751538)Termination reason: Refutation not found, incomplete strategy
% 12.03/2.95 % (751538)Time elapsed: 0.002 s
% 12.03/2.95 % (751538)Peak memory usage: 88 MB
% 12.03/2.95 % (751509)Refutation found. Thanks to Tanya!
% 12.03/2.95 % SZS status Unsatisfiable for theBenchmark
% 12.03/2.95 % SZS output start Proof for theBenchmark
% See solution above
% 14.07/3.34 % (751509)------------------------------
% 14.07/3.34 % (751509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.07/3.34 % (751509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.07/3.34 % (751509)CaDiCaL version: 2.1.3
% 14.07/3.34 % (751509)Termination reason: Refutation
% 14.07/3.34 % (751509)Time elapsed: 1.351 s
% 14.07/3.34 % (751509)Peak memory usage: 138 MB
% 14.07/3.34 % (751509)Instructions burned: 2567 (million)
% 14.07/3.34 % (751509)------------------------------
% 14.07/3.34 % (751509)------------------------------
% 14.07/3.34 % (751503)Success in time 1.831 s
% 14.07/3.34 % Vampire exiting
%------------------------------------------------------------------------------