%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP073-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 10:12:31 AM UTC 2026
% Result : Unsatisfiable 5.84s 1.89s
% Output : Refutation 7.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 3
% Syntax : Number of formulae : 72 ( 66 unt; 0 def)
% Number of atoms : 82 ( 81 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 19 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 256 ( 256 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(divide(X0,X1),X2),divide(X3,X2))),divide(X1,X0)) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f4,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(reorient_equations,[],[f3]) ).
fof(f5,plain,
( divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3))))
| a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2))
| divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)) ),
inference(definition_unfolding,[],[f4,f2,f2,f2,f2,f2,f2,f2,f2]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(divide(X0,X4),divide(X5,X4))),divide(divide(X2,X1),inverse(divide(divide(divide(X1,X2),X3),divide(X0,X3))))) = X5,
inference(superposition,[],[f1,f1]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(divide(divide(X4,X3),X5),divide(X0,X5))) = divide(inverse(divide(divide(divide(X1,X2),divide(X3,X4)),X0)),divide(X2,X1)),
inference(superposition,[],[f1,f1]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(divide(divide(divide(X1,X2),inverse(divide(divide(divide(X2,X1),X3),divide(X0,X3)))),X4),divide(X5,X4))),X0) = X5,
inference(superposition,[],[f1,f1]) ).
fof(f23,plain,
! [X2,X3,X0,X1,X4] : divide(divide(inverse(divide(divide(divide(X0,X1),divide(X2,X3)),X4)),divide(X1,X0)),divide(X2,X3)) = X4,
inference(superposition,[],[f1,f7]) ).
fof(f24,plain,
! [X2,X3,X0,X1] : inverse(divide(divide(divide(X0,X1),X2),divide(divide(X3,divide(X1,X0)),X2))) = X3,
inference(superposition,[],[f1,f7]) ).
fof(f42,plain,
! [X2,X3,X0,X1,X6,X4,X5] : divide(divide(inverse(divide(divide(divide(X0,X1),divide(inverse(divide(divide(divide(X2,X3),X4),divide(X5,X4))),divide(X3,X2))),X6)),divide(X1,X0)),X5) = X6,
inference(superposition,[],[f8,f7]) ).
fof(f52,plain,
! [X0,X1,X6,X5] : divide(divide(inverse(divide(divide(divide(X0,X1),X5),X6)),divide(X1,X0)),X5) = X6,
inference(forward_demodulation,[],[f42,f1]) ).
fof(f98,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(divide(divide(X4,X6),divide(X0,X6))) = inverse(divide(divide(divide(inverse(divide(divide(divide(X1,X2),X3),divide(X4,X3))),divide(X2,X1)),X5),divide(X0,X5))),
inference(superposition,[],[f24,f6]) ).
fof(f105,plain,
! [X2,X0,X1,X6,X4,X5] : divide(X0,divide(X2,X1)) = divide(X0,divide(divide(X4,X5),inverse(divide(divide(divide(X5,X4),X6),divide(divide(X1,X2),X6))))),
inference(superposition,[],[f6,f24]) ).
fof(f106,plain,
! [X0,X6,X4,X5] : inverse(divide(divide(X4,X5),divide(X0,X5))) = inverse(divide(divide(X4,X6),divide(X0,X6))),
inference(forward_demodulation,[],[f98,f1]) ).
fof(f247,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(divide(divide(inverse(divide(divide(divide(X1,X2),X3),X0)),divide(X2,X1)),X4),divide(X5,X4))) = inverse(divide(X0,divide(X5,X3))),
inference(superposition,[],[f106,f52]) ).
fof(f354,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : divide(divide(X6,X7),inverse(divide(divide(divide(X7,X6),X8),divide(divide(X5,X4),X8)))) = divide(divide(inverse(divide(divide(divide(X0,X1),divide(X2,X3)),divide(X4,X5))),divide(X1,X0)),divide(X2,X3)),
inference(superposition,[],[f23,f105]) ).
fof(f358,plain,
! [X8,X6,X7,X4,X5] : divide(X4,X5) = divide(divide(X6,X7),inverse(divide(divide(divide(X7,X6),X8),divide(divide(X5,X4),X8)))),
inference(forward_demodulation,[],[f354,f23]) ).
fof(f475,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : divide(inverse(divide(divide(X0,X1),divide(X7,inverse(divide(divide(divide(inverse(divide(divide(divide(X3,X2),X4),divide(X5,X4))),divide(X2,X3)),X6),divide(divide(X1,X0),X6)))))),X5) = X7,
inference(superposition,[],[f8,f358]) ).
fof(f476,plain,
! [X0,X1,X7,X4,X5] : divide(inverse(divide(divide(X0,X1),divide(X7,inverse(divide(divide(X5,X4),divide(divide(X1,X0),X4)))))),X5) = X7,
inference(forward_demodulation,[],[f475,f247]) ).
fof(f857,plain,
! [X2,X3,X0,X1] : divide(X2,X3) = divide(inverse(divide(divide(X0,X1),divide(X0,X1))),divide(X3,X2)),
inference(superposition,[],[f476,f105]) ).
fof(f931,plain,
! [X2,X0,X1] : divide(X1,X2) = divide(inverse(divide(X0,X0)),divide(X2,X1)),
inference(superposition,[],[f857,f52]) ).
fof(f1085,plain,
! [X2,X3,X0,X1,X4] : divide(divide(X1,X0),inverse(divide(X2,X2))) = divide(inverse(divide(divide(X3,X4),divide(X3,X4))),divide(X0,X1)),
inference(superposition,[],[f857,f931]) ).
fof(f1087,plain,
! [X2,X0,X1] : divide(X1,X0) = divide(divide(X1,X0),inverse(divide(X2,X2))),
inference(forward_demodulation,[],[f1085,f857]) ).
fof(f1109,plain,
! [X0,X4] : divide(X0,inverse(divide(X4,X4))) = X0,
inference(superposition,[],[f1087,f52]) ).
fof(f1126,plain,
! [X2,X3,X0,X1] : divide(X0,X1) = divide(inverse(divide(divide(X2,X3),divide(X0,X1))),divide(X3,X2)),
inference(superposition,[],[f476,f1087]) ).
fof(f1248,plain,
! [X0,X1] : divide(X1,inverse(inverse(divide(X0,X0)))) = X1,
inference(superposition,[],[f1109,f1109]) ).
fof(f1262,plain,
! [X2,X0,X1] : divide(X1,X2) = divide(divide(X1,X2),inverse(inverse(divide(X0,X0)))),
inference(superposition,[],[f1087,f1109]) ).
fof(f1276,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(divide(divide(X4,X5),divide(X2,X1)),X0)),divide(X5,X4)) = inverse(divide(divide(divide(X1,X2),inverse(divide(X3,X3))),X0)),
inference(superposition,[],[f7,f1109]) ).
fof(f1294,plain,
! [X2,X3,X0,X1] : inverse(divide(divide(X0,X1),divide(X2,X1))) = inverse(divide(X0,divide(X2,inverse(divide(X3,X3))))),
inference(superposition,[],[f106,f1109]) ).
fof(f1343,plain,
! [X2,X0,X1] : inverse(divide(divide(X0,X1),divide(X2,X1))) = inverse(divide(X0,X2)),
inference(forward_demodulation,[],[f1294,f1109]) ).
fof(f1349,plain,
! [X2,X0,X1,X4,X5] : inverse(divide(divide(X1,X2),X0)) = divide(inverse(divide(divide(divide(X4,X5),divide(X2,X1)),X0)),divide(X5,X4)),
inference(forward_demodulation,[],[f1276,f1087]) ).
fof(f1440,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(divide(X0,X1),divide(X2,X3))),divide(X1,X0)) = inverse(divide(divide(divide(X3,X2),X4),divide(inverse(inverse(divide(X5,X5))),X4))),
inference(superposition,[],[f7,f1248]) ).
fof(f1443,plain,
! [X2,X3,X0,X1,X5] : divide(inverse(divide(divide(X0,X1),divide(X2,X3))),divide(X1,X0)) = inverse(divide(divide(X3,X2),inverse(inverse(divide(X5,X5))))),
inference(forward_demodulation,[],[f1440,f1343]) ).
fof(f1506,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(X0,X1),divide(X2,X3))),divide(X1,X0)) = inverse(divide(X3,X2)),
inference(forward_demodulation,[],[f1443,f1262]) ).
fof(f1530,plain,
! [X2,X3] : divide(X2,X3) = inverse(divide(X3,X2)),
inference(forward_demodulation,[],[f1506,f1126]) ).
fof(f1540,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(divide(X1,X2),inverse(divide(divide(divide(X2,X1),X3),divide(X4,X3)))),inverse(divide(divide(X4,X5),divide(X0,X5)))) = inverse(X0),
inference(superposition,[],[f1530,f6]) ).
fof(f1544,plain,
! [X2,X3,X0,X1,X4] : divide(divide(X1,X2),divide(inverse(divide(divide(divide(X3,X4),divide(X1,X2)),X0)),divide(X4,X3))) = inverse(X0),
inference(superposition,[],[f1530,f23]) ).
fof(f1551,plain,
! [X0,X1] : inverse(X0) = divide(inverse(divide(X1,X1)),X0),
inference(superposition,[],[f1530,f1109]) ).
fof(f1559,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(divide(X0,X4),divide(X5,X4))),divide(divide(X3,X2),divide(divide(X0,X1),divide(divide(X2,X3),X1)))) = X5,
inference(superposition,[],[f6,f1530]) ).
fof(f1571,plain,
! [X2,X3,X0,X1] : divide(divide(X0,X1),divide(X2,X1)) = inverse(divide(divide(X2,X3),divide(X0,X3))),
inference(superposition,[],[f106,f1530]) ).
fof(f1583,plain,
! [X2,X0,X1] : divide(divide(X0,X1),divide(X2,X1)) = inverse(divide(X2,X0)),
inference(forward_demodulation,[],[f1571,f1343]) ).
fof(f1589,plain,
! [X2,X3,X0,X1,X5] : divide(inverse(divide(X0,X5)),divide(divide(X3,X2),divide(divide(X0,X1),divide(divide(X2,X3),X1)))) = X5,
inference(forward_demodulation,[],[f1559,f1343]) ).
fof(f1596,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
inference(forward_demodulation,[],[f1551,f1530]) ).
fof(f1603,plain,
! [X2,X0,X1] : inverse(X0) = divide(divide(X1,X2),inverse(divide(divide(X2,X1),X0))),
inference(forward_demodulation,[],[f1544,f1349]) ).
fof(f1607,plain,
! [X2,X3,X0,X1,X4] : inverse(X0) = divide(divide(divide(X1,X2),inverse(divide(divide(divide(X2,X1),X3),divide(X4,X3)))),inverse(divide(X4,X0))),
inference(forward_demodulation,[],[f1540,f1343]) ).
fof(f1613,plain,
! [X2,X0,X1] : divide(divide(X0,X1),divide(X2,X1)) = divide(X0,X2),
inference(forward_demodulation,[],[f1583,f1530]) ).
fof(f1619,plain,
! [X2,X3,X0,X1,X5] : divide(divide(X5,X0),divide(divide(X3,X2),divide(divide(X0,X1),divide(divide(X2,X3),X1)))) = X5,
inference(forward_demodulation,[],[f1589,f1530]) ).
fof(f1628,plain,
! [X2,X0,X1] : inverse(X0) = divide(divide(X1,X2),divide(X0,divide(X2,X1))),
inference(forward_demodulation,[],[f1603,f1530]) ).
fof(f1630,plain,
! [X2,X3,X0,X1,X4] : inverse(X0) = divide(divide(divide(X1,X2),inverse(divide(divide(divide(X2,X1),X3),divide(X4,X3)))),divide(X0,X4)),
inference(forward_demodulation,[],[f1607,f1530]) ).
fof(f1636,plain,
! [X2,X3,X0,X5] : divide(divide(X5,X0),divide(divide(X3,X2),divide(X0,divide(X2,X3)))) = X5,
inference(forward_demodulation,[],[f1619,f1613]) ).
fof(f1640,plain,
! [X2,X0,X1,X4] : inverse(X0) = divide(divide(divide(X1,X2),inverse(divide(divide(X2,X1),X4))),divide(X0,X4)),
inference(forward_demodulation,[],[f1630,f1343]) ).
fof(f1645,plain,
! [X0,X5] : divide(divide(X5,X0),inverse(X0)) = X5,
inference(forward_demodulation,[],[f1636,f1628]) ).
fof(f1648,plain,
! [X2,X0,X1,X4] : inverse(X0) = divide(divide(divide(X1,X2),divide(X4,divide(X2,X1))),divide(X0,X4)),
inference(forward_demodulation,[],[f1640,f1530]) ).
fof(f1651,plain,
! [X0,X4] : inverse(X0) = divide(inverse(X4),divide(X0,X4)),
inference(forward_demodulation,[],[f1648,f1628]) ).
fof(f1659,plain,
! [X2,X0,X1] : inverse(divide(X2,X2)) = divide(divide(X0,X1),inverse(divide(X1,X0))),
inference(superposition,[],[f1645,f931]) ).
fof(f1733,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(X0,divide(X2,inverse(X1)))) = divide(inverse(divide(divide(divide(X3,X4),divide(X1,X0)),X2)),divide(X4,X3)),
inference(superposition,[],[f7,f1645]) ).
fof(f1766,plain,
! [X2,X0,X1] : inverse(divide(divide(X0,X1),X2)) = inverse(divide(X0,divide(X2,inverse(X1)))),
inference(forward_demodulation,[],[f1733,f1349]) ).
fof(f1825,plain,
! [X2,X0,X1] : divide(divide(X0,X1),divide(X0,X1)) = inverse(divide(X2,X2)),
inference(forward_demodulation,[],[f1659,f1530]) ).
fof(f1843,plain,
! [X2,X0,X1] : inverse(divide(divide(X0,X1),X2)) = divide(divide(X2,inverse(X1)),X0),
inference(forward_demodulation,[],[f1766,f1530]) ).
fof(f1899,plain,
! [X2,X0,X1] : divide(divide(X0,X1),divide(X0,X1)) = divide(X2,X2),
inference(forward_demodulation,[],[f1825,f1530]) ).
fof(f1912,plain,
! [X2,X0,X1] : divide(X2,divide(X0,X1)) = divide(divide(X2,inverse(X1)),X0),
inference(forward_demodulation,[],[f1843,f1530]) ).
fof(f1951,plain,
! [X2,X0] : divide(X0,X0) = divide(X2,X2),
inference(forward_demodulation,[],[f1899,f1613]) ).
fof(f2181,plain,
! [X0,X1] : divide(divide(X0,X0),inverse(X1)) = X1,
inference(superposition,[],[f1645,f1951]) ).
fof(f2251,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(forward_demodulation,[],[f2181,f1596]) ).
fof(f2659,plain,
( divide(a3,inverse(divide(b3,inverse(c3)))) != divide(a3,divide(inverse(c3),b3))
| a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2))
| divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)) ),
inference(superposition,[],[f5,f1912]) ).
fof(f2682,plain,
( divide(a3,inverse(divide(b3,inverse(c3)))) != divide(a3,divide(inverse(c3),b3))
| a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2)) ),
inference(forward_subsumption_resolution,[],[f2659,f1951]) ).
fof(f2801,plain,
( divide(a3,divide(inverse(c3),b3)) != divide(a3,divide(inverse(c3),b3))
| a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2)) ),
inference(forward_demodulation,[],[f2682,f1530]) ).
fof(f2802,plain,
a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2)),
inference(trivial_inequality_removal,[],[f2801]) ).
fof(f2899,plain,
a2 != divide(inverse(b2),divide(inverse(a2),b2)),
inference(forward_demodulation,[],[f2802,f1912]) ).
fof(f2978,plain,
a2 != inverse(inverse(a2)),
inference(forward_demodulation,[],[f2899,f1651]) ).
fof(f3047,plain,
$false,
inference(forward_subsumption_resolution,[],[f2978,f2251]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP073-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n005.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 09:17:47 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 5.84/1.89 % (3722853)Input is clausal, will run a generic CNF schedule.
% 5.84/1.89 % (3722878)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3249778874:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.84/1.89 % (3722877)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=2972684538:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.84/1.89 % (3722882)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=13316785:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.84/1.89 % (3722883)dis-21_1_sil=8000:lcm=predicate:random_seed=3657773333: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)
% 5.84/1.89 % (3722879)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3364370908:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.84/1.89 % (3722880)lrs+10_1_sil=8000:sp=occurrence:random_seed=806037193:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.84/1.89 % (3722883)Refutation not found, incomplete strategy
% 5.84/1.89 % (3722883)------------------------------
% 5.84/1.89 % (3722883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.89 % (3722883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.89 % (3722883)CaDiCaL version: 2.1.3
% 5.84/1.89 % (3722883)Termination reason: Refutation not found, incomplete strategy
% 5.84/1.89 % (3722883)Time elapsed: 0.001 s
% 5.84/1.89 % (3722883)Peak memory usage: 88 MB
% 5.84/1.89 % (3722881)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1648852656:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.84/1.89 % (3722880)Instruction limit reached!
% 5.84/1.89 % (3722880)------------------------------
% 5.84/1.89 % (3722880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.89 % (3722880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.89 % (3722880)CaDiCaL version: 2.1.3
% 5.84/1.89 % (3722880)Termination reason: Instruction limit
% 5.84/1.89 % (3722880)Termination phase: Saturation
% 5.84/1.89 % (3722880)Time elapsed: 0.065 s
% 5.84/1.89 % (3722880)Peak memory usage: 89 MB
% 5.84/1.89 % (3722880)Instructions burned: 108 (million)
% 5.84/1.89 % (3722882)Instruction limit reached!
% 5.84/1.89 % (3722882)------------------------------
% 5.84/1.89 % (3722882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.89 % (3722882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.89 % (3722882)CaDiCaL version: 2.1.3
% 5.84/1.89 % (3722882)Termination reason: Instruction limit
% 5.84/1.89 % (3722882)Termination phase: Saturation
% 5.84/1.89 % (3722882)Time elapsed: 0.097 s
% 5.84/1.89 % (3722882)Peak memory usage: 90 MB
% 5.84/1.89 % (3722882)Instructions burned: 180 (million)
% 5.84/1.89 % (3722881)Instruction limit reached!
% 5.84/1.89 % (3722881)------------------------------
% 5.84/1.89 % (3722881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.89 % (3722881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.89 % (3722881)CaDiCaL version: 2.1.3
% 5.84/1.89 % (3722881)Termination reason: Instruction limit
% 5.84/1.89 % (3722881)Termination phase: Saturation
% 5.84/1.89 % (3722881)Time elapsed: 0.070 s
% 5.84/1.89 % (3722881)Peak memory usage: 89 MB
% 5.84/1.89 % (3722881)Instructions burned: 114 (million)
% 5.84/1.89 % (3722891)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=2838870116:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.84/1.89 % (3722883)------------------------------
% 5.84/1.89 % (3722883)------------------------------
% 5.84/1.89 % (3722891)Refutation not found, incomplete strategy
% 5.84/1.89 % (3722891)------------------------------
% 5.84/1.89 % (3722891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.89 % (3722891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.89 % (3722891)CaDiCaL version: 2.1.3
% 5.84/1.89 % (3722891)Termination reason: Refutation not found, incomplete strategy
% 5.84/1.89 % (3722891)Time elapsed: 0.002 s
% 5.84/1.89 % (3722891)Peak memory usage: 88 MB
% 5.84/1.89 % (3722893)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1877861668:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.84/1.89 % (3722893)Refutation not found, incomplete strategy
% 5.84/1.89 % (3722893)------------------------------
% 5.84/1.89 % (3722893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.89 % (3722893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.89 % (3722893)CaDiCaL version: 2.1.3
% 5.84/1.89 % (3722893)Termination reason: Refutation not found, incomplete strategy
% 5.84/1.89 % (3722893)Time elapsed: 0.001 s
% 5.84/1.89 % (3722893)Peak memory usage: 88 MB
% 5.84/1.89 % (3722892)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1003721220:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 5.84/1.89 % (3722892)Refutation not found, incomplete strategy
% 5.84/1.89 % (3722892)------------------------------
% 5.84/1.89 % (3722892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.89 % (3722892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.89 % (3722892)CaDiCaL version: 2.1.3
% 5.84/1.89 % (3722892)Termination reason: Refutation not found, incomplete strategy
% 5.84/1.89 % (3722892)Time elapsed: 0.002 s
% 5.84/1.89 % (3722892)Peak memory usage: 88 MB
% 5.84/1.89 % (3722910)lrs+10_64_to=lpo:sil=8000:random_seed=427624612:i=126:bd=preordered_2994 on theBenchmark for (2994ds/126Mi)
% 5.84/1.89 % (3722878)First to succeed.
% 5.84/1.89 % (3722878)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3722853"
% 5.84/1.89 % (3722891)------------------------------
% 5.84/1.89 % (3722891)------------------------------
% 5.84/1.89 % (3722892)------------------------------
% 5.84/1.89 % (3722892)------------------------------
% 5.84/1.89 % (3722893)------------------------------
% 5.84/1.89 % (3722893)------------------------------
% 5.84/1.89 % (3722910)Instruction limit reached!
% 5.84/1.89 % (3722910)------------------------------
% 5.84/1.89 % (3722910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.89 % (3722910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.89 % (3722910)CaDiCaL version: 2.1.3
% 5.84/1.89 % (3722910)Termination reason: Instruction limit
% 5.84/1.89 % (3722910)Termination phase: Saturation
% 5.84/1.89 % (3722910)Time elapsed: 0.131 s
% 5.84/1.89 % (3722910)Peak memory usage: 89 MB
% 5.84/1.89 % (3722910)Instructions burned: 129 (million)
% 5.84/1.89 % (3722878)Refutation found. Thanks to Tanya!
% 5.84/1.89 % SZS status Unsatisfiable for theBenchmark
% 5.84/1.89 % SZS output start Proof for theBenchmark
% See solution above
% 7.73/2.11 % (3722878)------------------------------
% 7.73/2.11 % (3722878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.11 % (3722878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.11 % (3722878)CaDiCaL version: 2.1.3
% 7.73/2.11 % (3722878)Termination reason: Refutation
% 7.73/2.11 % (3722878)Time elapsed: 0.696 s
% 7.73/2.11 % (3722878)Peak memory usage: 133 MB
% 7.73/2.11 % (3722878)Instructions burned: 1400 (million)
% 7.73/2.11 % (3722878)------------------------------
% 7.73/2.11 % (3722878)------------------------------
% 7.73/2.11 % (3722853)Success in time 1.013 s
% 7.73/2.11 % Vampire exiting
%------------------------------------------------------------------------------