%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP111-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 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 10:12:37 AM UTC 2026
% Result : Unsatisfiable 3.92s 6.31s
% Output : Refutation 3.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 3
% Syntax : Number of formulae : 63 ( 52 unt; 0 def)
% Number of atoms : 83 ( 82 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 33 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 118 ( 118 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),double_divide(X0,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/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))
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox/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))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(reorient_equations,[],[f3]) ).
fof(f5,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3))
| a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2)))))
| inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1)))
| inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4)) ),
inference(definition_unfolding,[],[f4,f2,f2,f2,f2,f2,f2,f2,f2,f2,f2]) ).
fof(f7,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(X1,inverse(X0))),X2)),inverse(X3))),double_divide(X1,X2))),X0) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f13,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(inverse(X0),double_divide(inverse(double_divide(inverse(double_divide(X1,inverse(inverse(X2)))),X3)),double_divide(X1,X3)))),X0) = X2,
inference(superposition,[],[f7,f7]) ).
fof(f21,plain,
! [X2,X0] : double_divide(inverse(double_divide(inverse(X0),inverse(X2))),X0) = X2,
inference(forward_demodulation,[],[f13,f1]) ).
fof(f25,plain,
! [X0,X1] : double_divide(inverse(X0),double_divide(inverse(X1),X1)) = X0,
inference(superposition,[],[f1,f21]) ).
fof(f40,plain,
! [X0,X1] : double_divide(inverse(double_divide(inverse(X0),X0)),inverse(X1)) = X1,
inference(superposition,[],[f21,f25]) ).
fof(f59,plain,
! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(X1),X1)),inverse(X2))),inverse(X0))),X0) = X2,
inference(superposition,[],[f1,f40]) ).
fof(f60,plain,
! [X2,X0] : double_divide(inverse(double_divide(inverse(X2),inverse(X0))),X0) = X2,
inference(forward_demodulation,[],[f59,f40]) ).
fof(f64,plain,
! [X0,X1] : double_divide(inverse(X1),X1) = double_divide(inverse(X0),X0),
inference(superposition,[],[f60,f40]) ).
fof(f65,plain,
! [X0,X1] : double_divide(inverse(X0),X1) = double_divide(inverse(inverse(X1)),inverse(X0)),
inference(superposition,[],[f60,f21]) ).
fof(f72,plain,
! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),double_divide(X0,inverse(inverse(X2))))),X1) = X2,
inference(superposition,[],[f7,f60]) ).
fof(f73,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f40,f60]) ).
fof(f74,plain,
! [X2,X0,X1] : double_divide(X0,X2) = double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),X1),
inference(superposition,[],[f7,f60]) ).
fof(f85,plain,
! [X2,X0] : double_divide(X0,double_divide(X0,inverse(inverse(X2)))) = X2,
inference(forward_demodulation,[],[f72,f74]) ).
fof(f87,plain,
! [X0,X1] : double_divide(X1,inverse(X0)) = double_divide(inverse(X0),X1),
inference(forward_demodulation,[],[f65,f73]) ).
fof(f88,plain,
! [X2,X0] : double_divide(X0,double_divide(X0,X2)) = X2,
inference(forward_demodulation,[],[f85,f73]) ).
fof(f92,plain,
! [X0,X1] : inverse(X0) = double_divide(inverse(double_divide(inverse(X1),X1)),X0),
inference(superposition,[],[f88,f40]) ).
fof(f103,plain,
! [X0,X1] : inverse(X0) = double_divide(inverse(double_divide(X1,inverse(X1))),X0),
inference(forward_demodulation,[],[f92,f87]) ).
fof(f146,plain,
! [X0,X1] : double_divide(inverse(X1),double_divide(X0,inverse(X0))) = X1,
inference(superposition,[],[f25,f87]) ).
fof(f194,plain,
! [X0,X1] : inverse(X0) = double_divide(inverse(double_divide(inverse(X1),X0)),X1),
inference(superposition,[],[f21,f73]) ).
fof(f201,plain,
! [X0,X1] : double_divide(X1,X0) = double_divide(X0,X1),
inference(superposition,[],[f87,f73]) ).
fof(f207,plain,
! [X0,X1] : inverse(X0) = double_divide(X1,inverse(double_divide(inverse(X1),X0))),
inference(forward_demodulation,[],[f194,f87]) ).
fof(f256,plain,
! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(inverse(X0),X0)),X2)),double_divide(inverse(inverse(X1)),X2)) = X1,
inference(superposition,[],[f1,f64]) ).
fof(f262,plain,
! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(inverse(X0),X0)),X2)),double_divide(X1,X2)) = X1,
inference(forward_demodulation,[],[f256,f73]) ).
fof(f289,plain,
! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X0))),X2)),double_divide(X1,X2)) = X1,
inference(forward_demodulation,[],[f262,f87]) ).
fof(f297,plain,
! [X2,X1] : double_divide(inverse(inverse(X2)),double_divide(X1,X2)) = X1,
inference(forward_demodulation,[],[f289,f103]) ).
fof(f304,plain,
! [X2,X1] : double_divide(X2,double_divide(X1,X2)) = X1,
inference(forward_demodulation,[],[f297,f73]) ).
fof(f310,plain,
! [X0,X1] : double_divide(X1,X0) = inverse(double_divide(inverse(X1),inverse(X0))),
inference(superposition,[],[f304,f21]) ).
fof(f314,plain,
! [X0,X1] : double_divide(X1,X0) = inverse(double_divide(inverse(X0),inverse(X1))),
inference(superposition,[],[f304,f60]) ).
fof(f316,plain,
! [X0,X1] : double_divide(inverse(X0),X0) = inverse(double_divide(inverse(X1),X1)),
inference(superposition,[],[f304,f40]) ).
fof(f338,plain,
! [X0,X1] : double_divide(inverse(X0),X0) = inverse(double_divide(X1,inverse(X1))),
inference(forward_demodulation,[],[f316,f87]) ).
fof(f345,plain,
! [X0,X1] : inverse(double_divide(X1,inverse(X1))) = double_divide(X0,inverse(X0)),
inference(forward_demodulation,[],[f338,f87]) ).
fof(f357,plain,
! [X0,X1] : inverse(double_divide(X1,inverse(X1))) = inverse(double_divide(X0,inverse(X0))),
inference(superposition,[],[f345,f345]) ).
fof(f489,plain,
! [X0,X1] : inverse(double_divide(X0,inverse(X1))) = double_divide(inverse(X0),X1),
inference(superposition,[],[f310,f73]) ).
fof(f492,plain,
! [X0,X1] : double_divide(X1,inverse(X0)) = inverse(double_divide(inverse(X1),X0)),
inference(superposition,[],[f310,f73]) ).
fof(f530,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(X1)) = inverse(double_divide(X0,X1)),
inference(superposition,[],[f73,f310]) ).
fof(f705,plain,
! [X0,X1] : double_divide(inverse(X1),inverse(X0)) = inverse(double_divide(X0,X1)),
inference(superposition,[],[f87,f530]) ).
fof(f856,plain,
! [X2,X0,X1] : double_divide(inverse(X2),double_divide(X0,X1)) = inverse(double_divide(X2,double_divide(inverse(X1),inverse(X0)))),
inference(superposition,[],[f530,f314]) ).
fof(f859,plain,
! [X2,X0,X1] : double_divide(inverse(X2),double_divide(X0,X1)) = inverse(double_divide(X2,inverse(double_divide(X1,X0)))),
inference(forward_demodulation,[],[f856,f530]) ).
fof(f904,plain,
! [X2,X0,X1] : double_divide(inverse(X2),double_divide(X0,X1)) = double_divide(inverse(X2),double_divide(X1,X0)),
inference(forward_demodulation,[],[f859,f489]) ).
fof(f976,plain,
! [X0,X1] : inverse(double_divide(X1,X0)) = inverse(double_divide(X0,X1)),
inference(superposition,[],[f530,f705]) ).
fof(f1331,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(b3,c3)),a3))
| a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2)))))
| inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1)))
| inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4)) ),
inference(superposition,[],[f5,f201]) ).
fof(f1332,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(b3,c3)),a3))
| a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2)))))
| inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4)) ),
inference(forward_subsumption_resolution,[],[f1331,f357]) ).
fof(f1368,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(b3,c3)),a3))
| a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) ),
inference(forward_subsumption_resolution,[],[f1332,f976]) ).
fof(f1384,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != double_divide(double_divide(b3,c3),inverse(a3))
| a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) ),
inference(forward_demodulation,[],[f1368,f492]) ).
fof(f1394,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != double_divide(inverse(a3),double_divide(b3,c3))
| a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) ),
inference(forward_demodulation,[],[f1384,f87]) ).
fof(f1398,plain,
( double_divide(inverse(a3),double_divide(b3,c3)) != double_divide(inverse(c3),double_divide(b3,a3))
| a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) ),
inference(forward_demodulation,[],[f1394,f489]) ).
fof(f1402,plain,
( double_divide(inverse(a3),double_divide(b3,c3)) != double_divide(inverse(c3),double_divide(a3,b3))
| a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) ),
inference(forward_demodulation,[],[f1398,f904]) ).
fof(f1406,plain,
( a2 != double_divide(inverse(a2),double_divide(b2,inverse(b2)))
| double_divide(inverse(a3),double_divide(b3,c3)) != double_divide(inverse(c3),double_divide(a3,b3)) ),
inference(forward_demodulation,[],[f1402,f489]) ).
fof(f1410,plain,
double_divide(inverse(a3),double_divide(b3,c3)) != double_divide(inverse(c3),double_divide(a3,b3)),
inference(forward_subsumption_resolution,[],[f1406,f146]) ).
fof(f3109,plain,
! [X2,X0,X1] : double_divide(inverse(X1),X0) = double_divide(inverse(double_divide(inverse(inverse(X0)),X2)),double_divide(X1,X2)),
inference(superposition,[],[f1,f207]) ).
fof(f3159,plain,
! [X2,X0,X1] : double_divide(inverse(X1),X0) = double_divide(double_divide(inverse(X0),inverse(X2)),double_divide(X1,X2)),
inference(forward_demodulation,[],[f3109,f492]) ).
fof(f3216,plain,
! [X2,X0,X1] : double_divide(inverse(X1),X0) = double_divide(inverse(double_divide(X0,X2)),double_divide(X1,X2)),
inference(forward_demodulation,[],[f3159,f530]) ).
fof(f3297,plain,
! [X2,X0,X1] : double_divide(inverse(X0),double_divide(X1,X2)) = double_divide(inverse(X1),inverse(double_divide(inverse(X2),inverse(X0)))),
inference(superposition,[],[f3216,f21]) ).
fof(f3479,plain,
! [X2,X0,X1] : double_divide(inverse(X0),double_divide(X1,X2)) = inverse(double_divide(X1,double_divide(inverse(X2),inverse(X0)))),
inference(forward_demodulation,[],[f3297,f530]) ).
fof(f3532,plain,
! [X2,X0,X1] : double_divide(inverse(X0),double_divide(X1,X2)) = inverse(double_divide(X1,inverse(double_divide(X2,X0)))),
inference(forward_demodulation,[],[f3479,f530]) ).
fof(f3555,plain,
! [X2,X0,X1] : double_divide(inverse(X0),double_divide(X1,X2)) = double_divide(inverse(X1),double_divide(X2,X0)),
inference(forward_demodulation,[],[f3532,f489]) ).
fof(f3720,plain,
double_divide(inverse(a3),double_divide(b3,c3)) != double_divide(inverse(a3),double_divide(b3,c3)),
inference(superposition,[],[f1410,f3555]) ).
fof(f3776,plain,
$false,
inference(trivial_inequality_removal,[],[f3720]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP111-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/5.33 % Computer : n012.cluster.edu
% 0.05/5.33 % Model : x86_64 x86_64
% 0.05/5.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/5.33 % Memory : 8046.5625MB
% 0.05/5.33 % OS : Linux 6.8.0-71-generic
% 0.05/5.33 % CPULimit : 300
% 0.05/5.33 % WCLimit : 300
% 0.05/5.33 % DateTime : Sun Sep 27 09:19:26 UTC 2026
% 0.05/5.33 % CPUTime :
% 0.05/5.33 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/5.35 Running first-order theorem proving
% 0.05/5.35 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
% 3.92/6.31 % (2110079)Input is clausal, will run a generic CNF schedule.
% 3.92/6.31 % (2110088)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=213211532:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.92/6.31 % (2110089)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2144077432:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.92/6.31 % (2110084)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=1150858315:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.92/6.31 % (2110087)lrs+10_1_sil=8000:sp=occurrence:random_seed=3609300056:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.92/6.31 % (2110085)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2026427517:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.92/6.31 % (2110086)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3312914970:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.92/6.31 % (2110090)dis-21_1_sil=8000:lcm=predicate:random_seed=83948143: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)
% 3.92/6.31 % (2110090)Refutation not found, incomplete strategy
% 3.92/6.31 % (2110090)------------------------------
% 3.92/6.31 % (2110090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/6.31 % (2110090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/6.31 % (2110090)CaDiCaL version: 2.1.3
% 3.92/6.31 % (2110090)Termination reason: Refutation not found, incomplete strategy
% 3.92/6.31 % (2110090)Time elapsed: 0.001 s
% 3.92/6.31 % (2110090)Peak memory usage: 88 MB
% 3.92/6.31 % (2110087)Instruction limit reached!
% 3.92/6.31 % (2110087)------------------------------
% 3.92/6.31 % (2110087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/6.31 % (2110087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/6.31 % (2110087)CaDiCaL version: 2.1.3
% 3.92/6.31 % (2110087)Termination reason: Instruction limit
% 3.92/6.31 % (2110087)Termination phase: Saturation
% 3.92/6.31 % (2110087)Time elapsed: 0.036 s
% 3.92/6.31 % (2110087)Peak memory usage: 89 MB
% 3.92/6.31 % (2110087)Instructions burned: 109 (million)
% 3.92/6.31 % (2110088)Instruction limit reached!
% 3.92/6.31 % (2110088)------------------------------
% 3.92/6.31 % (2110088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/6.31 % (2110088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/6.31 % (2110088)CaDiCaL version: 2.1.3
% 3.92/6.31 % (2110088)Termination reason: Instruction limit
% 3.92/6.31 % (2110088)Termination phase: Saturation
% 3.92/6.31 % (2110088)Time elapsed: 0.040 s
% 3.92/6.31 % (2110088)Peak memory usage: 89 MB
% 3.92/6.31 % (2110088)Instructions burned: 116 (million)
% 3.92/6.31 % (2110089)Instruction limit reached!
% 3.92/6.31 % (2110089)------------------------------
% 3.92/6.31 % (2110089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/6.31 % (2110089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/6.31 % (2110089)CaDiCaL version: 2.1.3
% 3.92/6.31 % (2110089)Termination reason: Instruction limit
% 3.92/6.31 % (2110089)Termination phase: Saturation
% 3.92/6.31 % (2110089)Time elapsed: 0.058 s
% 3.92/6.31 % (2110089)Peak memory usage: 90 MB
% 3.92/6.31 % (2110089)Instructions burned: 183 (million)
% 3.92/6.31 % (2110090)------------------------------
% 3.92/6.31 % (2110090)------------------------------
% 3.92/6.31 % (2110098)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=2382431751:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.92/6.31 % (2110099)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4251873692:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 3.92/6.31 % (2110098)Refutation not found, incomplete strategy
% 3.92/6.31 % (2110098)------------------------------
% 3.92/6.31 % (2110098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/6.31 % (2110099)Refutation not found, incomplete strategy
% 3.92/6.31 % (2110099)------------------------------
% 3.92/6.31 % (2110099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/6.31 % (2110098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/6.31 % (2110099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/6.31 % (2110098)CaDiCaL version: 2.1.3
% 3.92/6.31 % (2110099)CaDiCaL version: 2.1.3
% 3.92/6.31 % (2110098)Termination reason: Refutation not found, incomplete strategy
% 3.92/6.31 % (2110098)Time elapsed: 0.001 s
% 3.92/6.31 % (2110099)Termination reason: Refutation not found, incomplete strategy
% 3.92/6.31 % (2110099)Time elapsed: 0.001 s
% 3.92/6.31 % (2110098)Peak memory usage: 88 MB
% 3.92/6.31 % (2110099)Peak memory usage: 88 MB
% 3.92/6.31 % (2110100)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3498679248:st=4:i=219:sd=3:ss=axioms_2998 on theBenchmark for (2998ds/219Mi)
% 3.92/6.31 % (2110100)Refutation not found, incomplete strategy
% 3.92/6.31 % (2110100)------------------------------
% 3.92/6.31 % (2110100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/6.31 % (2110100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/6.31 % (2110100)CaDiCaL version: 2.1.3
% 3.92/6.31 % (2110100)Termination reason: Refutation not found, incomplete strategy
% 3.92/6.31 % (2110100)Time elapsed: 0.001 s
% 3.92/6.31 % (2110100)Peak memory usage: 88 MB
% 3.92/6.31 % (2110103)lrs+10_64_to=lpo:sil=8000:random_seed=2683796549:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 3.92/6.31 % (2110098)------------------------------
% 3.92/6.31 % (2110098)------------------------------
% 3.92/6.31 % (2110099)------------------------------
% 3.92/6.31 % (2110099)------------------------------
% 3.92/6.31 % (2110103)Instruction limit reached!
% 3.92/6.31 % (2110103)------------------------------
% 3.92/6.31 % (2110103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/6.31 % (2110103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/6.31 % (2110103)CaDiCaL version: 2.1.3
% 3.92/6.31 % (2110103)Termination reason: Instruction limit
% 3.92/6.31 % (2110103)Termination phase: Saturation
% 3.92/6.31 % (2110103)Time elapsed: 0.040 s
% 3.92/6.31 % (2110103)Peak memory usage: 89 MB
% 3.92/6.31 % (2110103)Instructions burned: 127 (million)
% 3.92/6.31 % (2110100)------------------------------
% 3.92/6.31 % (2110100)------------------------------
% 3.92/6.31 % (2110106)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1251921922:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 3.92/6.31 % (2110085)First to succeed.
% 3.92/6.31 % (2110085)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2110079"
% 3.92/6.31 % (2110107)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1037534864:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 3.92/6.31 % (2110108)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=485646460:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 3.92/6.31 % (2110106)Also succeeded, but the first one will report.
% 3.92/6.31 % (2110109)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=2516878321:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 3.92/6.31 % (2110107)Instruction limit reached!
% 3.92/6.31 % (2110107)------------------------------
% 3.92/6.31 % (2110107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/6.31 % (2110107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/6.31 % (2110107)CaDiCaL version: 2.1.3
% 3.92/6.31 % (2110107)Termination reason: Instruction limit
% 3.92/6.31 % (2110107)Termination phase: Saturation
% 3.92/6.31 % (2110107)Time elapsed: 0.049 s
% 3.92/6.31 % (2110107)Peak memory usage: 92 MB
% 3.92/6.31 % (2110107)Instructions burned: 158 (million)
% 3.92/6.31 % (2110109)Instruction limit reached!
% 3.92/6.31 % (2110109)------------------------------
% 3.92/6.31 % (2110109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/6.31 % (2110109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/6.31 % (2110109)CaDiCaL version: 2.1.3
% 3.92/6.31 % (2110109)Termination reason: Instruction limit
% 3.92/6.31 % (2110109)Termination phase: Saturation
% 3.92/6.31 % (2110109)Time elapsed: 0.035 s
% 3.92/6.31 % (2110109)Peak memory usage: 89 MB
% 3.92/6.31 % (2110109)Instructions burned: 107 (million)
% 3.92/6.31 % (2110086)Also succeeded, but the first one will report.
% 3.92/6.31 % (2110085)Refutation found. Thanks to Tanya!
% 3.92/6.31 % SZS status Unsatisfiable for theBenchmark
% 3.92/6.31 % SZS output start Proof for theBenchmark
% See solution above
% 3.92/6.41 % (2110085)------------------------------
% 3.92/6.41 % (2110085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/6.41 % (2110085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/6.41 % (2110085)CaDiCaL version: 2.1.3
% 3.92/6.41 % (2110085)Termination reason: Refutation
% 3.92/6.41 % (2110085)Time elapsed: 0.453 s
% 3.92/6.41 % (2110085)Peak memory usage: 128 MB
% 3.92/6.41 % (2110085)Instructions burned: 1215 (million)
% 3.92/6.41 % (2110085)------------------------------
% 3.92/6.41 % (2110085)------------------------------
% 3.92/6.41 % (2110079)Success in time 0.762 s
% 3.92/6.41 % Vampire exiting
%------------------------------------------------------------------------------