%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP067-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 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 10:12:30 AM UTC 2026
% Result : Unsatisfiable 4.69s 1.27s
% Output : Refutation 4.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 5
% Syntax : Number of formulae : 41 ( 36 unt; 0 def)
% Number of atoms : 50 ( 49 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 16 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 69 ( 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = divide(identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,plain,
! [X0] : divide(identity,X0) = inverse(X0),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f6,plain,
! [X0] : divide(X0,X0) = identity,
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(inverse(a1),a1) != identity
| multiply(identity,a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f8,plain,
( identity != multiply(inverse(a1),a1)
| a2 != multiply(identity,a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,plain,
( divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3))))
| a2 != divide(identity,divide(identity,a2))
| identity != divide(divide(identity,a1),divide(identity,a1)) ),
inference(definition_unfolding,[],[f8,f2,f4,f2,f2,f2,f2,f2]) ).
fof(f10,plain,
! [X2,X0,X1] : divide(divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
inference(forward_demodulation,[],[f1,f6]) ).
fof(f13,plain,
! [X0,X1] : divide(divide(identity,divide(X0,divide(X1,identity))),divide(identity,X0)) = X1,
inference(superposition,[],[f10,f6]) ).
fof(f14,plain,
! [X0,X1] : divide(divide(identity,X0),X1) = divide(divide(identity,divide(X0,identity)),X1),
inference(superposition,[],[f10,f6]) ).
fof(f22,plain,
! [X2,X0,X1] : divide(identity,divide(X0,identity)) = divide(divide(identity,divide(X1,divide(divide(identity,X0),divide(divide(identity,X1),X2)))),X2),
inference(superposition,[],[f10,f14]) ).
fof(f24,plain,
! [X0] : divide(identity,X0) = divide(identity,divide(X0,identity)),
inference(forward_demodulation,[],[f22,f10]) ).
fof(f35,plain,
! [X0] : divide(divide(identity,identity),divide(identity,divide(X0,identity))) = X0,
inference(superposition,[],[f13,f6]) ).
fof(f47,plain,
! [X0] : divide(divide(identity,identity),divide(identity,X0)) = X0,
inference(forward_demodulation,[],[f35,f24]) ).
fof(f50,plain,
! [X0] : divide(identity,divide(identity,X0)) = X0,
inference(forward_demodulation,[],[f47,f6]) ).
fof(f52,plain,
! [X0] : divide(X0,identity) = divide(identity,divide(identity,X0)),
inference(superposition,[],[f50,f24]) ).
fof(f55,plain,
! [X0,X1] : divide(divide(X0,divide(divide(identity,identity),X1)),X1) = X0,
inference(superposition,[],[f10,f50]) ).
fof(f65,plain,
! [X0,X1] : divide(divide(X0,divide(identity,X1)),X1) = X0,
inference(forward_demodulation,[],[f55,f6]) ).
fof(f66,plain,
! [X0] : divide(X0,identity) = X0,
inference(forward_demodulation,[],[f52,f50]) ).
fof(f105,plain,
! [X0,X1] : divide(identity,divide(X1,divide(X0,identity))) = divide(X0,X1),
inference(superposition,[],[f65,f13]) ).
fof(f129,plain,
! [X0,X1] : divide(identity,divide(X1,X0)) = divide(X0,X1),
inference(forward_demodulation,[],[f105,f66]) ).
fof(f135,plain,
! [X0,X1] : divide(identity,X0) = divide(divide(identity,X1),divide(identity,divide(X1,divide(X0,identity)))),
inference(superposition,[],[f129,f13]) ).
fof(f161,plain,
! [X0,X1] : divide(identity,X0) = divide(divide(identity,X1),divide(divide(X0,identity),X1)),
inference(forward_demodulation,[],[f135,f129]) ).
fof(f166,plain,
! [X0,X1] : divide(identity,X0) = divide(divide(identity,X1),divide(X0,X1)),
inference(forward_demodulation,[],[f161,f66]) ).
fof(f174,plain,
! [X2,X0,X1] : divide(divide(identity,X2),X0) = divide(identity,divide(identity,divide(X1,divide(X0,divide(divide(identity,X1),X2))))),
inference(superposition,[],[f166,f10]) ).
fof(f203,plain,
! [X2,X0,X1] : divide(divide(identity,X2),X0) = divide(divide(X1,divide(X0,divide(divide(identity,X1),X2))),identity),
inference(forward_demodulation,[],[f174,f129]) ).
fof(f207,plain,
! [X2,X0,X1] : divide(X1,divide(X0,divide(divide(identity,X1),X2))) = divide(divide(identity,X2),X0),
inference(forward_demodulation,[],[f203,f66]) ).
fof(f218,plain,
! [X2,X0,X1] : divide(divide(X1,divide(X0,identity)),divide(X2,X0)) = divide(divide(identity,divide(identity,X1)),X2),
inference(superposition,[],[f207,f13]) ).
fof(f221,plain,
! [X2,X0,X1] : divide(X1,divide(X2,divide(identity,X0))) = divide(divide(identity,divide(X0,X1)),X2),
inference(superposition,[],[f207,f166]) ).
fof(f279,plain,
! [X2,X0,X1] : divide(X1,divide(X2,divide(identity,X0))) = divide(divide(X1,X0),X2),
inference(forward_demodulation,[],[f221,f129]) ).
fof(f281,plain,
! [X2,X0,X1] : divide(divide(X1,divide(X0,identity)),divide(X2,X0)) = divide(divide(X1,identity),X2),
inference(forward_demodulation,[],[f218,f129]) ).
fof(f297,plain,
! [X2,X0,X1] : divide(divide(X1,divide(X0,identity)),divide(X2,X0)) = divide(X1,X2),
inference(forward_demodulation,[],[f281,f66]) ).
fof(f301,plain,
! [X2,X0,X1] : divide(X1,X2) = divide(divide(X1,X0),divide(X2,X0)),
inference(forward_demodulation,[],[f297,f66]) ).
fof(f310,plain,
! [X2,X0,X1] : divide(divide(X0,divide(identity,X1)),X2) = divide(X0,divide(X2,X1)),
inference(superposition,[],[f301,f65]) ).
fof(f398,plain,
( divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(a3,divide(divide(identity,c3),b3))
| a2 != divide(identity,divide(identity,a2))
| identity != divide(divide(identity,a1),divide(identity,a1)) ),
inference(superposition,[],[f9,f310]) ).
fof(f427,plain,
( divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(a3,divide(divide(identity,c3),b3))
| identity != divide(divide(identity,a1),divide(identity,a1)) ),
inference(forward_subsumption_resolution,[],[f398,f50]) ).
fof(f457,plain,
divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(a3,divide(divide(identity,c3),b3)),
inference(forward_subsumption_resolution,[],[f427,f6]) ).
fof(f471,plain,
divide(a3,divide(divide(identity,c3),b3)) != divide(a3,divide(divide(identity,c3),b3)),
inference(forward_demodulation,[],[f457,f279]) ).
fof(f472,plain,
$false,
inference(trivial_inequality_removal,[],[f471]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP067-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.30 % Computer : n012.cluster.edu
% 0.05/0.30 % Model : x86_64 x86_64
% 0.05/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.30 % Memory : 8046.5625MB
% 0.05/0.30 % OS : Linux 6.8.0-71-generic
% 0.05/0.30 % CPULimit : 300
% 0.05/0.30 % WCLimit : 300
% 0.05/0.30 % DateTime : Sun Sep 27 09:17:05 UTC 2026
% 0.05/0.30 % CPUTime :
% 0.05/0.30 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.32 Running first-order theorem proving
% 0.05/0.32 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
% 4.20/1.17 % (2104032)Input is clausal, will run a generic CNF schedule.
% 4.20/1.17 % (2104041)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2841465734:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.20/1.17 % (2104037)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=2707767696:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.20/1.17 % (2104043)dis-21_1_sil=8000:lcm=predicate:random_seed=1027332509: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)
% 4.20/1.17 % (2104038)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1803961751:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.20/1.17 % (2104040)lrs+10_1_sil=8000:sp=occurrence:random_seed=1656014472:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.20/1.17 % (2104039)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=928649494:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.20/1.17 % (2104043)Refutation not found, incomplete strategy
% 4.20/1.17 % (2104043)------------------------------
% 4.20/1.17 % (2104043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.17 % (2104043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.17 % (2104043)CaDiCaL version: 2.1.3
% 4.20/1.17 % (2104043)Termination reason: Refutation not found, incomplete strategy
% 4.20/1.17 % (2104043)Time elapsed: 0.001 s
% 4.20/1.17 % (2104043)Peak memory usage: 88 MB
% 4.20/1.17 % (2104042)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1713793360:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.20/1.17 % (2104040)Instruction limit reached!
% 4.20/1.17 % (2104040)------------------------------
% 4.20/1.17 % (2104040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.17 % (2104040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.17 % (2104040)CaDiCaL version: 2.1.3
% 4.20/1.17 % (2104040)Termination reason: Instruction limit
% 4.20/1.17 % (2104040)Termination phase: Saturation
% 4.20/1.17 % (2104040)Time elapsed: 0.034 s
% 4.20/1.17 % (2104040)Peak memory usage: 89 MB
% 4.20/1.17 % (2104040)Instructions burned: 109 (million)
% 4.20/1.17 % (2104041)Instruction limit reached!
% 4.20/1.17 % (2104041)------------------------------
% 4.20/1.17 % (2104041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.17 % (2104041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.17 % (2104041)CaDiCaL version: 2.1.3
% 4.20/1.17 % (2104041)Termination reason: Instruction limit
% 4.20/1.17 % (2104041)Termination phase: Saturation
% 4.20/1.17 % (2104041)Time elapsed: 0.039 s
% 4.20/1.17 % (2104041)Peak memory usage: 89 MB
% 4.20/1.17 % (2104041)Instructions burned: 116 (million)
% 4.20/1.17 % (2104042)Instruction limit reached!
% 4.20/1.17 % (2104042)------------------------------
% 4.20/1.17 % (2104042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.17 % (2104042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.17 % (2104042)CaDiCaL version: 2.1.3
% 4.20/1.17 % (2104042)Termination reason: Instruction limit
% 4.20/1.17 % (2104042)Termination phase: Saturation
% 4.20/1.17 % (2104042)Time elapsed: 0.056 s
% 4.20/1.17 % (2104042)Peak memory usage: 90 MB
% 4.20/1.17 % (2104042)Instructions burned: 182 (million)
% 4.20/1.17 % (2104051)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=3715540609:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 4.20/1.17 % (2104052)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3288883999: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)
% 4.20/1.17 % (2104051)Refutation not found, incomplete strategy
% 4.20/1.17 % (2104051)------------------------------
% 4.20/1.17 % (2104051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.17 % (2104051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.17 % (2104051)CaDiCaL version: 2.1.3
% 4.20/1.17 % (2104051)Termination reason: Refutation not found, incomplete strategy
% 4.69/1.27 % (2104051)Time elapsed: 0.001 s
% 4.69/1.27 % (2104051)Peak memory usage: 88 MB
% 4.69/1.27 % (2104052)Refutation not found, incomplete strategy
% 4.69/1.27 % (2104052)------------------------------
% 4.69/1.27 % (2104052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.27 % (2104052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.27 % (2104052)CaDiCaL version: 2.1.3
% 4.69/1.27 % (2104052)Termination reason: Refutation not found, incomplete strategy
% 4.69/1.27 % (2104052)Time elapsed: 0.001 s
% 4.69/1.27 % (2104052)Peak memory usage: 88 MB
% 4.69/1.27 % (2104052)Instructions burned: 1 (million)
% 4.69/1.27 % (2104043)------------------------------
% 4.69/1.27 % (2104043)------------------------------
% 4.69/1.27 % (2104053)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=147875575:st=4:i=219:sd=3:ss=axioms_2998 on theBenchmark for (2998ds/219Mi)
% 4.69/1.27 % (2104053)Refutation not found, incomplete strategy
% 4.69/1.27 % (2104053)------------------------------
% 4.69/1.27 % (2104053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.27 % (2104053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.27 % (2104053)CaDiCaL version: 2.1.3
% 4.69/1.27 % (2104053)Termination reason: Refutation not found, incomplete strategy
% 4.69/1.27 % (2104053)Time elapsed: 0.001 s
% 4.69/1.27 % (2104053)Peak memory usage: 88 MB
% 4.69/1.27 % (2104053)Instructions burned: 1 (million)
% 4.69/1.27 % (2104057)lrs+10_64_to=lpo:sil=8000:random_seed=745092507:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 4.69/1.27 % (2104052)------------------------------
% 4.69/1.27 % (2104052)------------------------------
% 4.69/1.27 % (2104051)------------------------------
% 4.69/1.27 % (2104051)------------------------------
% 4.69/1.27 % (2104057)Instruction limit reached!
% 4.69/1.27 % (2104057)------------------------------
% 4.69/1.27 % (2104057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.27 % (2104057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.27 % (2104057)CaDiCaL version: 2.1.3
% 4.69/1.27 % (2104057)Termination reason: Instruction limit
% 4.69/1.27 % (2104057)Termination phase: Saturation
% 4.69/1.27 % (2104057)Time elapsed: 0.035 s
% 4.69/1.27 % (2104057)Peak memory usage: 90 MB
% 4.69/1.27 % (2104057)Instructions burned: 128 (million)
% 4.69/1.27 % (2104053)------------------------------
% 4.69/1.27 % (2104053)------------------------------
% 4.69/1.27 % (2104038)First to succeed.
% 4.69/1.27 % (2104038)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2104032"
% 4.69/1.27 % (2104060)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1018626138:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 4.69/1.27 % (2104061)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2647125086:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 4.69/1.27 % (2104059)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2950470589:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 4.69/1.27 % (2104037)Also succeeded, but the first one will report.
% 4.69/1.27 % (2104062)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=1275006674:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 4.69/1.27 % (2104039)Also succeeded, but the first one will report.
% 4.69/1.27 % (2104060)Instruction limit reached!
% 4.69/1.27 % (2104060)------------------------------
% 4.69/1.27 % (2104060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.27 % (2104060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.27 % (2104060)CaDiCaL version: 2.1.3
% 4.69/1.27 % (2104060)Termination reason: Instruction limit
% 4.69/1.27 % (2104060)Termination phase: Saturation
% 4.69/1.27 % (2104060)Time elapsed: 0.051 s
% 4.69/1.27 % (2104060)Peak memory usage: 90 MB
% 4.69/1.27 % (2104060)Instructions burned: 157 (million)
% 4.69/1.27 % (2104062)Instruction limit reached!
% 4.69/1.27 % (2104062)------------------------------
% 4.69/1.27 % (2104062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.27 % (2104062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.27 % (2104062)CaDiCaL version: 2.1.3
% 4.69/1.27 % (2104062)Termination reason: Instruction limit
% 4.69/1.27 % (2104062)Termination phase: Saturation
% 4.69/1.27 % (2104062)Time elapsed: 0.035 s
% 4.69/1.27 % (2104062)Peak memory usage: 89 MB
% 4.69/1.27 % (2104062)Instructions burned: 107 (million)
% 4.69/1.27 % (2104059)Also succeeded, but the first one will report.
% 4.69/1.27 % (2104038)Refutation found. Thanks to Tanya!
% 4.69/1.27 % SZS status Unsatisfiable for theBenchmark
% 4.69/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 4.69/1.27 % (2104038)------------------------------
% 4.69/1.27 % (2104038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.27 % (2104038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.27 % (2104038)CaDiCaL version: 2.1.3
% 4.69/1.27 % (2104038)Termination reason: Refutation
% 4.69/1.27 % (2104038)Time elapsed: 0.362 s
% 4.69/1.27 % (2104038)Peak memory usage: 126 MB
% 4.69/1.27 % (2104038)Instructions burned: 949 (million)
% 4.69/1.27 % (2104038)------------------------------
% 4.69/1.27 % (2104038)------------------------------
% 4.69/1.27 % (2104032)Success in time 0.647 s
% 4.69/1.27 % Vampire exiting
%------------------------------------------------------------------------------