%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO072-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 09:36:17 AM UTC 2026
% Result : Unsatisfiable 1.71s 0.52s
% Output : Refutation 1.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 2
% Syntax : Number of formulae : 61 ( 61 unt; 0 def)
% Number of atoms : 61 ( 60 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 120 ( 120 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : inverse(add(inverse(add(inverse(add(X0,X1)),X2)),inverse(add(X0,inverse(add(inverse(X2),inverse(add(X2,X3)))))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dn1) ).
fof(f2,negated_conjecture,
add(b,a) != add(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',huntinton_1) ).
fof(f3,plain,
! [X2,X0,X1,X4,X5] : inverse(add(inverse(add(X0,X4)),inverse(add(inverse(add(inverse(add(X1,X2)),X0)),inverse(add(inverse(X4),inverse(add(X4,X5)))))))) = X4,
inference(superposition,[],[f1,f1]) ).
fof(f7,plain,
! [X2,X0,X1] : inverse(X0) = inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X0)),X1)),X0)),X2)),inverse(X0))),X0)),
inference(superposition,[],[f1,f1]) ).
fof(f8,plain,
! [X0] : inverse(X0) = inverse(add(inverse(add(X0,inverse(X0))),X0)),
inference(superposition,[],[f7,f1]) ).
fof(f19,plain,
! [X0,X1] : inverse(add(inverse(X0),inverse(add(X0,inverse(add(inverse(X0),inverse(add(X0,X1)))))))) = X0,
inference(superposition,[],[f1,f8]) ).
fof(f33,plain,
! [X0] : inverse(add(inverse(X0),inverse(add(X0,X0)))) = X0,
inference(superposition,[],[f19,f19]) ).
fof(f34,plain,
! [X2,X0,X1] : inverse(add(inverse(add(inverse(add(X1,X2)),X0)),inverse(add(X1,X0)))) = X0,
inference(superposition,[],[f1,f19]) ).
fof(f64,plain,
! [X2,X0] : inverse(add(inverse(add(X0,X2)),inverse(add(inverse(X0),X2)))) = X2,
inference(superposition,[],[f34,f19]) ).
fof(f106,plain,
! [X0] : inverse(add(inverse(add(add(X0,inverse(X0)),X0)),inverse(X0))) = X0,
inference(superposition,[],[f64,f8]) ).
fof(f109,plain,
! [X0] : inverse(add(X0,X0)) = inverse(add(inverse(add(X0,inverse(add(X0,X0)))),X0)),
inference(superposition,[],[f64,f33]) ).
fof(f115,plain,
! [X2,X0,X1] : inverse(add(inverse(add(X0,X2)),inverse(add(inverse(add(X1,X0)),X2)))) = X2,
inference(superposition,[],[f34,f64]) ).
fof(f133,plain,
! [X0] : inverse(X0) = inverse(add(X0,inverse(add(add(X0,inverse(X0)),inverse(X0))))),
inference(superposition,[],[f34,f106]) ).
fof(f159,plain,
! [X0,X1] : inverse(add(inverse(add(inverse(X0),X1)),inverse(add(X0,X1)))) = X1,
inference(superposition,[],[f34,f133]) ).
fof(f294,plain,
! [X0] : inverse(add(inverse(add(X0,X0)),inverse(add(X0,X0)))) = X0,
inference(superposition,[],[f34,f109]) ).
fof(f396,plain,
! [X0] : inverse(add(inverse(add(inverse(X0),X0)),inverse(X0))) = X0,
inference(superposition,[],[f115,f7]) ).
fof(f453,plain,
! [X0] : inverse(X0) = inverse(add(X0,inverse(add(inverse(X0),inverse(X0))))),
inference(superposition,[],[f34,f396]) ).
fof(f497,plain,
! [X0] : inverse(add(inverse(X0),inverse(add(X0,inverse(add(inverse(X0),inverse(X0))))))) = X0,
inference(superposition,[],[f19,f453]) ).
fof(f523,plain,
! [X0] : inverse(add(inverse(X0),inverse(X0))) = X0,
inference(forward_demodulation,[],[f497,f453]) ).
fof(f545,plain,
! [X0] : add(X0,X0) = X0,
inference(superposition,[],[f523,f294]) ).
fof(f592,plain,
! [X0,X1] : inverse(add(inverse(add(inverse(add(X0,X1)),X0)),inverse(X0))) = X0,
inference(superposition,[],[f34,f545]) ).
fof(f603,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f523,f545]) ).
fof(f618,plain,
! [X0,X1] : inverse(X0) = add(inverse(add(inverse(X1),X0)),inverse(add(X1,X0))),
inference(superposition,[],[f603,f159]) ).
fof(f622,plain,
! [X0,X1] : inverse(X0) = add(inverse(add(X1,X0)),inverse(add(inverse(X1),X0))),
inference(superposition,[],[f603,f64]) ).
fof(f776,plain,
! [X0,X1] : inverse(add(inverse(add(inverse(add(X0,X1)),X0)),inverse(add(X0,X1)))) = X0,
inference(superposition,[],[f3,f34]) ).
fof(f1510,plain,
! [X0,X1] : inverse(add(X1,X0)) = inverse(add(X0,inverse(inverse(add(X1,X0))))),
inference(superposition,[],[f592,f34]) ).
fof(f1607,plain,
! [X0,X1] : inverse(add(X1,X0)) = inverse(add(X0,add(X1,X0))),
inference(forward_demodulation,[],[f1510,f603]) ).
fof(f1690,plain,
! [X0,X1] : inverse(inverse(add(X0,X1))) = add(X1,add(X0,X1)),
inference(superposition,[],[f603,f1607]) ).
fof(f1694,plain,
! [X0,X1] : add(X0,X1) = add(X1,add(X0,X1)),
inference(forward_demodulation,[],[f1690,f603]) ).
fof(f2199,plain,
! [X0,X1] : inverse(X0) = add(inverse(add(X1,X0)),inverse(X0)),
inference(superposition,[],[f1694,f618]) ).
fof(f2609,plain,
! [X0,X1] : add(inverse(add(X1,inverse(X0))),X0) = X0,
inference(superposition,[],[f2199,f603]) ).
fof(f2792,plain,
! [X0,X1] : inverse(add(inverse(X0),inverse(add(X1,X0)))) = X0,
inference(superposition,[],[f34,f2609]) ).
fof(f2932,plain,
! [X0,X1] : inverse(inverse(add(X1,X0))) = add(X0,inverse(add(X0,inverse(add(X1,X0))))),
inference(superposition,[],[f618,f2792]) ).
fof(f2980,plain,
! [X0,X1] : inverse(X0) = add(inverse(X0),inverse(add(X1,X0))),
inference(superposition,[],[f603,f2792]) ).
fof(f3005,plain,
! [X0,X1] : add(X1,X0) = add(X0,inverse(add(X0,inverse(add(X1,X0))))),
inference(forward_demodulation,[],[f2932,f603]) ).
fof(f4163,plain,
! [X0,X1] : inverse(inverse(add(X0,X1))) = add(inverse(inverse(add(X0,X1))),X0),
inference(superposition,[],[f2980,f776]) ).
fof(f4170,plain,
! [X0,X1] : add(inverse(add(inverse(add(X0,X1)),X0)),inverse(add(X0,X1))) = inverse(add(X0,inverse(add(add(inverse(add(inverse(add(X0,X1)),X0)),inverse(add(X0,X1))),add(inverse(add(inverse(add(X0,X1)),X0)),inverse(add(X0,X1))))))),
inference(superposition,[],[f33,f776]) ).
fof(f4207,plain,
! [X0,X1] : add(inverse(add(inverse(add(X0,X1)),X0)),inverse(add(X0,X1))) = inverse(add(X0,inverse(add(inverse(add(inverse(add(X0,X1)),X0)),inverse(add(X0,X1)))))),
inference(forward_demodulation,[],[f4170,f545]) ).
fof(f4208,plain,
! [X0,X1] : add(X0,X1) = add(add(X0,X1),X0),
inference(forward_demodulation,[],[f4163,f603]) ).
fof(f4232,plain,
! [X0,X1] : inverse(add(X0,X0)) = add(inverse(add(inverse(add(X0,X1)),X0)),inverse(add(X0,X1))),
inference(forward_demodulation,[],[f4207,f776]) ).
fof(f4238,plain,
! [X0,X1] : inverse(X0) = add(inverse(add(inverse(add(X0,X1)),X0)),inverse(add(X0,X1))),
inference(forward_demodulation,[],[f4232,f545]) ).
fof(f4337,plain,
! [X0,X1] : inverse(add(inverse(X0),inverse(add(X0,X1)))) = X0,
inference(superposition,[],[f2792,f4208]) ).
fof(f4339,plain,
! [X0,X1] : add(X0,X1) = add(X0,inverse(add(X0,inverse(add(X0,X1))))),
inference(superposition,[],[f3005,f4208]) ).
fof(f5650,plain,
! [X0,X1] : inverse(inverse(add(X0,inverse(add(X0,X1))))) = add(inverse(add(X0,X1)),inverse(add(inverse(X0),inverse(add(X0,inverse(add(X0,X1))))))),
inference(superposition,[],[f622,f4339]) ).
fof(f5687,plain,
! [X0,X1] : add(inverse(add(X0,X1)),X0) = inverse(inverse(add(X0,inverse(add(X0,X1))))),
inference(forward_demodulation,[],[f5650,f4337]) ).
fof(f5723,plain,
! [X0,X1] : add(X0,inverse(add(X0,X1))) = add(inverse(add(X0,X1)),X0),
inference(forward_demodulation,[],[f5687,f603]) ).
fof(f6272,plain,
! [X0,X1] : inverse(X0) = add(inverse(add(X0,X1)),inverse(add(inverse(add(X0,X1)),X0))),
inference(forward_demodulation,[],[f4238,f5723]) ).
fof(f6273,plain,
! [X0,X1] : inverse(X0) = add(inverse(add(X0,X1)),inverse(add(X0,inverse(add(X0,X1))))),
inference(forward_demodulation,[],[f6272,f5723]) ).
fof(f6365,plain,
! [X2,X0,X1] : inverse(add(inverse(add(inverse(inverse(X0)),X2)),inverse(add(inverse(add(X0,X1)),X2)))) = X2,
inference(superposition,[],[f34,f6273]) ).
fof(f6415,plain,
! [X2,X0,X1] : inverse(add(inverse(add(X0,X2)),inverse(add(inverse(add(X0,X1)),X2)))) = X2,
inference(forward_demodulation,[],[f6365,f603]) ).
fof(f7195,plain,
! [X2,X0,X1] : add(inverse(add(X1,X0)),inverse(add(inverse(add(X1,X2)),X0))) = inverse(add(X0,inverse(add(add(inverse(add(X1,X0)),inverse(add(inverse(add(X1,X2)),X0))),add(inverse(add(X1,X0)),inverse(add(inverse(add(X1,X2)),X0))))))),
inference(superposition,[],[f33,f6415]) ).
fof(f7245,plain,
! [X2,X0,X1] : add(inverse(add(X1,X0)),inverse(add(inverse(add(X1,X2)),X0))) = inverse(add(X0,inverse(add(inverse(add(X1,X0)),inverse(add(inverse(add(X1,X2)),X0)))))),
inference(forward_demodulation,[],[f7195,f545]) ).
fof(f7332,plain,
! [X2,X0,X1] : inverse(add(X0,X0)) = add(inverse(add(X1,X0)),inverse(add(inverse(add(X1,X2)),X0))),
inference(forward_demodulation,[],[f7245,f6415]) ).
fof(f7355,plain,
! [X2,X0,X1] : inverse(X0) = add(inverse(add(X1,X0)),inverse(add(inverse(add(X1,X2)),X0))),
inference(forward_demodulation,[],[f7332,f545]) ).
fof(f7957,plain,
! [X2,X0,X1] : inverse(X1) = add(inverse(add(inverse(add(X0,X2)),X1)),inverse(add(inverse(inverse(X0)),X1))),
inference(superposition,[],[f7355,f6273]) ).
fof(f8218,plain,
! [X2,X0,X1] : inverse(X1) = add(inverse(add(inverse(add(X0,X2)),X1)),inverse(add(X0,X1))),
inference(forward_demodulation,[],[f7957,f603]) ).
fof(f8994,plain,
! [X0,X1] : inverse(inverse(add(X1,X0))) = add(X0,inverse(add(inverse(X1),inverse(add(X1,X0))))),
inference(superposition,[],[f8218,f159]) ).
fof(f9283,plain,
! [X0,X1] : add(X0,X1) = inverse(inverse(add(X1,X0))),
inference(forward_demodulation,[],[f8994,f4337]) ).
fof(f9387,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(forward_demodulation,[],[f9283,f603]) ).
fof(f9687,plain,
add(b,a) != add(b,a),
inference(superposition,[],[f2,f9387]) ).
fof(f9688,plain,
$false,
inference(trivial_inequality_removal,[],[f9687]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO072-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n020.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 21:09:04 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.71/0.52 % (563314)Will run a generic schedule for satisfiability detection.
% 1.71/0.52 % (563332)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2767858333:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.71/0.52 % (563327)% WARNING: option uhcvi not known.
% 1.71/0.52 % (563327)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=573831010:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.71/0.52 % (563330)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2320312352:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.71/0.52 % (563326)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2258607236_2999 on theBenchmark for (2999ds/0Mi)
% 1.71/0.52 % (563328)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3650697288:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.71/0.52 % (563329)dis+10_1_sil=32000:sp=arity:random_seed=2617028269:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.71/0.52 % TRYING [1]
% 1.71/0.52 % TRYING [2]
% 1.71/0.52 % TRYING [3]
% 1.71/0.52 % (563331)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1540274023:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.71/0.52 % (563332)Instruction limit reached!
% 1.71/0.52 % (563332)------------------------------
% 1.71/0.52 % (563332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.52 % (563332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.52 % (563332)CaDiCaL version: 2.1.3
% 1.71/0.52 % (563332)Termination reason: Instruction limit
% 1.71/0.52 % (563332)Termination phase: Saturation
% 1.71/0.52 % (563332)Time elapsed: 0.051 s
% 1.71/0.52 % (563332)Peak memory usage: 13 MB
% 1.71/0.52 % (563332)Instructions burned: 161 (million)
% 1.71/0.52 % (563354)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1651224353:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.71/0.52 % TRYING [1]
% 1.71/0.52 % (563329)Instruction limit reached!
% 1.71/0.52 % (563329)------------------------------
% 1.71/0.52 % (563329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.52 % (563329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.52 % TRYING [2]
% 1.71/0.52 % (563329)CaDiCaL version: 2.1.3
% 1.71/0.52 % (563329)Termination reason: Instruction limit
% 1.71/0.52 % (563329)Termination phase: Saturation
% 1.71/0.52 % (563329)Time elapsed: 0.056 s
% 1.71/0.52 % (563329)Peak memory usage: 12 MB
% 1.71/0.52 % (563329)Instructions burned: 103 (million)
% 1.71/0.52 % TRYING [3]
% 1.71/0.52 % TRYING [4]
% 1.71/0.52 % (563330)Instruction limit reached!
% 1.71/0.52 % (563330)------------------------------
% 1.71/0.52 % (563330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.52 % (563330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.52 % (563330)CaDiCaL version: 2.1.3
% 1.71/0.52 % (563330)Termination reason: Instruction limit
% 1.71/0.52 % (563330)Termination phase: Saturation
% 1.71/0.52 % (563330)Time elapsed: 0.068 s
% 1.71/0.52 % (563330)Peak memory usage: 13 MB
% 1.71/0.52 % (563330)Instructions burned: 117 (million)
% 1.71/0.52 % (563360)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3089899735:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.71/0.52 % TRYING [4]
% 1.71/0.52 % (563365)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=101505341:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.71/0.52 % (563331)Instruction limit reached!
% 1.71/0.52 % (563331)------------------------------
% 1.71/0.52 % (563331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.52 % (563331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.52 % (563331)CaDiCaL version: 2.1.3
% 1.71/0.52 % (563331)Termination reason: Instruction limit
% 1.71/0.52 % (563331)Termination phase: Saturation
% 1.71/0.52 % (563331)Time elapsed: 0.085 s
% 1.71/0.52 % (563331)Peak memory usage: 13 MB
% 1.71/0.52 % (563331)Instructions burned: 131 (million)
% 1.71/0.52 % (563369)ott-21_1_sil=16000:fs=off:random_seed=2475666394:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.71/0.52 % (563360)Instruction limit reached!
% 1.71/0.52 % (563360)------------------------------
% 1.71/0.52 % (563360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.52 % (563360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.52 % (563360)CaDiCaL version: 2.1.3
% 1.71/0.52 % (563360)Termination reason: Instruction limit
% 1.71/0.52 % (563360)Termination phase: Saturation
% 1.71/0.52 % (563360)Time elapsed: 0.080 s
% 1.71/0.52 % (563360)Peak memory usage: 13 MB
% 1.71/0.52 % (563360)Instructions burned: 132 (million)
% 1.71/0.52 % (563387)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2358477498:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.71/0.52 % (563369)Instruction limit reached!
% 1.71/0.52 % (563369)------------------------------
% 1.71/0.52 % (563369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.52 % (563369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.52 % (563369)CaDiCaL version: 2.1.3
% 1.71/0.52 % (563369)Termination reason: Instruction limit
% 1.71/0.52 % (563369)Termination phase: Saturation
% 1.71/0.52 % (563369)Time elapsed: 0.103 s
% 1.71/0.52 % (563369)Peak memory usage: 12 MB
% 1.71/0.52 % (563369)Instructions burned: 181 (million)
% 1.71/0.52 % (563399)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3891398248:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.71/0.52 % TRYING [1]
% 1.71/0.52 % TRYING [2]
% 1.71/0.52 % TRYING [3]
% 1.71/0.52 % (563328) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-563314-563328"...
% 1.71/0.52 % (563328)...printing done.
% 1.71/0.52 % (563328)Refutation found. Thanks to Tanya!
% 1.71/0.52 % SZS status Unsatisfiable for theBenchmark
% 1.71/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.71/0.52 % (563328)------------------------------
% 1.71/0.52 % (563328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.52 % (563328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.52 % (563328)CaDiCaL version: 2.1.3
% 1.71/0.52 % (563328)Termination reason: Refutation
% 1.71/0.52 % (563328)Time elapsed: 0.249 s
% 1.71/0.52 % (563328)Peak memory usage: 15 MB
% 1.71/0.52 % (563328)Instructions burned: 494 (million)
% 1.71/0.52 % (563314)Success in time 0.289 s
% 1.71/0.52 % Vampire exiting
%------------------------------------------------------------------------------