%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP401-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 10:13:51 AM UTC 2026
% Result : Unsatisfiable 0.16s 2.50s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 17 unt; 0 def)
% Number of atoms : 31 ( 30 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 15 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_multiply) ).
fof(f2,axiom,
! [X2,X0,X1] :
( multiply(X0,X1) != multiply(X2,X1)
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_cancellation) ).
fof(f3,axiom,
! [X2,X0,X1] :
( multiply(X0,X1) != multiply(X0,X2)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_cancellation) ).
fof(f4,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,multiply(X0,commutator(X0,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutator) ).
fof(f5,axiom,
! [X2,X0,X1] : commutator(multiply(X0,X1),X2) = multiply(commutator(X0,X2),commutator(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutator_distributes_over_product) ).
fof(f6,negated_conjecture,
multiply(commutator(a,b),c) != multiply(c,commutator(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_nilpotency) ).
fof(f12,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X1,multiply(multiply(X0,commutator(X0,X1)),X2)),
inference(superposition,[],[f1,f4]) ).
fof(f14,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X1,multiply(X0,multiply(commutator(X0,X1),X2))),
inference(forward_demodulation,[],[f12,f1]) ).
fof(f16,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,multiply(commutator(X0,X1),X2))),
inference(forward_demodulation,[],[f14,f1]) ).
fof(f24,plain,
! [X2,X3,X0,X1] :
( multiply(X0,multiply(X1,X2)) != multiply(X3,X2)
| multiply(X0,X1) = X3 ),
inference(superposition,[],[f2,f1]) ).
fof(f53,plain,
! [X2,X3,X0,X1] :
( multiply(X0,multiply(X1,X2)) != multiply(multiply(X0,X1),X3)
| X2 = X3 ),
inference(superposition,[],[f3,f1]) ).
fof(f57,plain,
! [X2,X3,X0,X1] :
( multiply(X0,multiply(X1,X2)) != multiply(X0,multiply(X1,X3))
| X2 = X3 ),
inference(forward_demodulation,[],[f53,f1]) ).
fof(f116,plain,
! [X2,X3,X0,X1] :
( multiply(X0,multiply(X1,X2)) != multiply(X1,multiply(X0,X3))
| multiply(commutator(X0,X1),X2) = X3 ),
inference(superposition,[],[f57,f16]) ).
fof(f189,plain,
multiply(a,multiply(b,c)) != multiply(b,multiply(a,multiply(c,commutator(a,b)))),
inference(unit_resulting_resolution,[],[f116,f6]) ).
fof(f193,plain,
! [X2,X0,X1] : multiply(commutator(X0,X1),multiply(commutator(X1,X0),X2)) = X2,
inference(unit_resulting_resolution,[],[f116,f16]) ).
fof(f338,plain,
! [X2,X0,X1] : commutator(X1,X2) = multiply(commutator(X2,X0),commutator(multiply(X0,X1),X2)),
inference(superposition,[],[f193,f5]) ).
fof(f4332,plain,
! [X2,X0,X1] :
( multiply(X0,X1) != multiply(X2,commutator(X0,X1))
| multiply(X1,X0) = X2 ),
inference(superposition,[],[f24,f4]) ).
fof(f4741,plain,
multiply(multiply(b,c),a) != multiply(multiply(b,multiply(a,multiply(c,commutator(a,b)))),commutator(multiply(b,c),a)),
inference(unit_resulting_resolution,[],[f4332,f189]) ).
fof(f4830,plain,
multiply(multiply(b,c),a) != multiply(b,multiply(multiply(a,multiply(c,commutator(a,b))),commutator(multiply(b,c),a))),
inference(forward_demodulation,[],[f4741,f1]) ).
fof(f4873,plain,
multiply(multiply(b,c),a) != multiply(b,multiply(a,multiply(multiply(c,commutator(a,b)),commutator(multiply(b,c),a)))),
inference(forward_demodulation,[],[f4830,f1]) ).
fof(f4913,plain,
multiply(multiply(b,c),a) != multiply(b,multiply(a,multiply(c,multiply(commutator(a,b),commutator(multiply(b,c),a))))),
inference(forward_demodulation,[],[f4873,f1]) ).
fof(f4946,plain,
multiply(multiply(b,c),a) != multiply(b,multiply(a,multiply(c,commutator(c,a)))),
inference(forward_demodulation,[],[f4913,f338]) ).
fof(f4969,plain,
multiply(multiply(b,c),a) != multiply(b,multiply(c,a)),
inference(forward_demodulation,[],[f4946,f4]) ).
fof(f4981,plain,
$false,
inference(forward_subsumption_resolution,[],[f4969,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP401-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n015.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 10:05:15 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 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
% 6.80/2.31 % (1421007)Input is clausal, will run a generic CNF schedule.
% 6.80/2.31 % (1421015)lrs+10_1_sil=8000:sp=occurrence:random_seed=3484316398:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.80/2.31 % (1421012)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=2836203678:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.80/2.31 % (1421018)dis-21_1_sil=8000:lcm=predicate:random_seed=654356235: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)
% 6.80/2.31 % (1421013)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1132392769:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.80/2.31 % (1421014)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2665923817:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.80/2.31 % (1421016)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=364828906:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.80/2.31 % (1421017)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1953439001:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.80/2.31 % (1421018)Refutation not found, incomplete strategy
% 6.80/2.31 % (1421018)------------------------------
% 6.80/2.31 % (1421018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/2.31 % (1421018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/2.31 % (1421018)CaDiCaL version: 2.1.3
% 6.80/2.31 % (1421018)Termination reason: Refutation not found, incomplete strategy
% 6.80/2.31 % (1421018)Time elapsed: 0.001 s
% 6.80/2.31 % (1421018)Peak memory usage: 88 MB
% 6.80/2.31 % (1421015)Instruction limit reached!
% 6.80/2.31 % (1421015)------------------------------
% 6.80/2.31 % (1421015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/2.31 % (1421015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/2.31 % (1421015)CaDiCaL version: 2.1.3
% 6.80/2.31 % (1421015)Termination reason: Instruction limit
% 6.80/2.31 % (1421015)Termination phase: Saturation
% 6.80/2.31 % (1421015)Time elapsed: 0.036 s
% 6.80/2.31 % (1421015)Peak memory usage: 88 MB
% 6.80/2.31 % (1421015)Instructions burned: 107 (million)
% 6.80/2.31 % (1421016)Instruction limit reached!
% 6.80/2.31 % (1421016)------------------------------
% 6.80/2.31 % (1421016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/2.31 % (1421016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/2.31 % (1421016)CaDiCaL version: 2.1.3
% 6.80/2.31 % (1421016)Termination reason: Instruction limit
% 6.80/2.31 % (1421016)Termination phase: Saturation
% 6.80/2.31 % (1421016)Time elapsed: 0.073 s
% 6.80/2.31 % (1421016)Peak memory usage: 88 MB
% 6.80/2.31 % (1421016)Instructions burned: 116 (million)
% 6.80/2.31 % (1421017)Instruction limit reached!
% 6.80/2.31 % (1421017)------------------------------
% 6.80/2.31 % (1421017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/2.31 % (1421017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/2.31 % (1421017)CaDiCaL version: 2.1.3
% 6.80/2.31 % (1421017)Termination reason: Instruction limit
% 6.80/2.31 % (1421017)Termination phase: Saturation
% 6.80/2.31 % (1421017)Time elapsed: 0.107 s
% 6.80/2.31 % (1421017)Peak memory usage: 89 MB
% 6.80/2.31 % (1421017)Instructions burned: 181 (million)
% 6.80/2.31 % (1421026)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=1692005126:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.80/2.31 % (1421026)Refutation not found, incomplete strategy
% 6.80/2.31 % (1421026)------------------------------
% 6.80/2.31 % (1421026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/2.31 % (1421026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/2.31 % (1421026)CaDiCaL version: 2.1.3
% 6.80/2.31 % (1421026)Termination reason: Refutation not found, incomplete strategy
% 6.80/2.31 % (1421026)Time elapsed: 0.001 s
% 6.80/2.31 % (1421026)Peak memory usage: 88 MB
% 6.80/2.31 % (1421027)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1907895690: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)
% 0.16/2.50 % (1421018)------------------------------
% 0.16/2.50 % (1421018)------------------------------
% 0.16/2.50 % (1421028)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=617190058:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 0.16/2.50 % (1421028)Refutation not found, incomplete strategy
% 0.16/2.50 % (1421028)------------------------------
% 0.16/2.50 % (1421028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.50 % (1421028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.50 % (1421028)CaDiCaL version: 2.1.3
% 0.16/2.50 % (1421028)Termination reason: Refutation not found, incomplete strategy
% 0.16/2.50 % (1421028)Time elapsed: 0.001 s
% 0.16/2.50 % (1421028)Peak memory usage: 87 MB
% 0.16/2.50 % (1421026)------------------------------
% 0.16/2.50 % (1421026)------------------------------
% 0.16/2.50 % (1421027)Instruction limit reached!
% 0.16/2.50 % (1421027)------------------------------
% 0.16/2.50 % (1421027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.50 % (1421027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.50 % (1421027)CaDiCaL version: 2.1.3
% 0.16/2.50 % (1421027)Termination reason: Instruction limit
% 0.16/2.50 % (1421027)Termination phase: Saturation
% 0.16/2.50 % (1421027)Time elapsed: 0.104 s
% 0.16/2.50 % (1421027)Peak memory usage: 89 MB
% 0.16/2.50 % (1421027)Instructions burned: 189 (million)
% 0.16/2.50 % (1421033)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3469269297:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 0.16/2.50 % (1421031)lrs+10_64_to=lpo:sil=8000:random_seed=2725788290:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 0.16/2.50 % (1421033)Instruction limit reached!
% 0.16/2.50 % (1421033)------------------------------
% 0.16/2.50 % (1421033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.50 % (1421033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.50 % (1421033)CaDiCaL version: 2.1.3
% 0.16/2.50 % (1421033)Termination reason: Instruction limit
% 0.16/2.50 % (1421033)Termination phase: Saturation
% 0.16/2.50 % (1421033)Time elapsed: 0.068 s
% 0.16/2.50 % (1421033)Peak memory usage: 89 MB
% 0.16/2.50 % (1421033)Instructions burned: 197 (million)
% 0.16/2.50 % (1421031)Instruction limit reached!
% 0.16/2.50 % (1421031)------------------------------
% 0.16/2.50 % (1421031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.50 % (1421031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.50 % (1421031)CaDiCaL version: 2.1.3
% 0.16/2.50 % (1421031)Termination reason: Instruction limit
% 0.16/2.50 % (1421031)Termination phase: Saturation
% 0.16/2.50 % (1421031)Time elapsed: 0.077 s
% 0.16/2.50 % (1421031)Peak memory usage: 88 MB
% 0.16/2.50 % (1421031)Instructions burned: 127 (million)
% 0.16/2.50 % (1421034)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4048116976:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 0.16/2.50 % (1421028)------------------------------
% 0.16/2.50 % (1421028)------------------------------
% 0.16/2.50 % (1421037)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2125559321:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 0.16/2.50 % (1421034)Instruction limit reached!
% 0.16/2.50 % (1421034)------------------------------
% 0.16/2.50 % (1421034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.50 % (1421034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.50 % (1421034)CaDiCaL version: 2.1.3
% 0.16/2.50 % (1421034)Termination reason: Instruction limit
% 0.16/2.50 % (1421034)Termination phase: Saturation
% 0.16/2.50 % (1421034)Time elapsed: 0.105 s
% 0.16/2.50 % (1421034)Peak memory usage: 90 MB
% 0.16/2.50 % (1421034)Instructions burned: 159 (million)
% 0.16/2.50 % (1421038)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=2357384328:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 0.16/2.50 % (1421040)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=5335470:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 0.16/2.50 % (1421040)Refutation not found, incomplete strategy
% 0.16/2.50 % (1421040)------------------------------
% 0.16/2.50 % (1421040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.50 % (1421040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.50 % (1421040)CaDiCaL version: 2.1.3
% 0.16/2.50 % (1421040)Termination reason: Refutation not found, incomplete strategy
% 0.16/2.50 % (1421040)Time elapsed: 0.001 s
% 0.16/2.50 % (1421040)Peak memory usage: 87 MB
% 0.16/2.50 % (1421038)Instruction limit reached!
% 0.16/2.50 % (1421038)------------------------------
% 0.16/2.50 % (1421038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.50 % (1421038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.50 % (1421038)CaDiCaL version: 2.1.3
% 0.16/2.50 % (1421038)Termination reason: Instruction limit
% 0.16/2.50 % (1421038)Termination phase: Saturation
% 0.16/2.50 % (1421038)Time elapsed: 0.051 s
% 0.16/2.50 % (1421038)Peak memory usage: 89 MB
% 0.16/2.50 % (1421038)Instructions burned: 108 (million)
% 0.16/2.50 % (1421042)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=572623849:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 0.16/2.50 % (1421045)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3664103056:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 0.16/2.50 % (1421040)------------------------------
% 0.16/2.50 % (1421040)------------------------------
% 0.16/2.50 % (1421042)Instruction limit reached!
% 0.16/2.50 % (1421042)------------------------------
% 0.16/2.50 % (1421042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.50 % (1421042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.50 % (1421042)CaDiCaL version: 2.1.3
% 0.16/2.50 % (1421042)Termination reason: Instruction limit
% 0.16/2.50 % (1421042)Termination phase: Saturation
% 0.16/2.50 % (1421042)Time elapsed: 0.147 s
% 0.16/2.50 % (1421042)Peak memory usage: 89 MB
% 0.16/2.50 % (1421042)Instructions burned: 242 (million)
% 0.16/2.50 % (1421013)First to succeed.
% 0.16/2.50 % (1421013)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1421007"
% 0.16/2.50 % (1421048)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3232560149:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 0.16/2.50 % (1421049)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=708923637:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 0.16/2.50 % (1421049)Also succeeded, but the first one will report.
% 0.16/2.50 % (1421048)Instruction limit reached!
% 0.16/2.50 % (1421048)------------------------------
% 0.16/2.50 % (1421048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.50 % (1421048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.50 % (1421048)CaDiCaL version: 2.1.3
% 0.16/2.50 % (1421048)Termination reason: Instruction limit
% 0.16/2.50 % (1421048)Termination phase: Saturation
% 0.16/2.50 % (1421048)Time elapsed: 0.080 s
% 0.16/2.50 % (1421048)Peak memory usage: 88 MB
% 0.16/2.50 % (1421048)Instructions burned: 135 (million)
% 0.16/2.50 % (1421013)Refutation found. Thanks to Tanya!
% 0.16/2.50 % SZS status Unsatisfiable for theBenchmark
% 0.16/2.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/2.50 % (1421013)------------------------------
% 0.16/2.50 % (1421013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.50 % (1421013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.50 % (1421013)CaDiCaL version: 2.1.3
% 0.16/2.50 % (1421013)Termination reason: Refutation
% 0.16/2.50 % (1421013)Time elapsed: 1.030 s
% 0.16/2.50 % (1421013)Peak memory usage: 132 MB
% 0.16/2.50 % (1421013)Instructions burned: 1605 (million)
% 0.16/2.50 % (1421013)------------------------------
% 0.16/2.50 % (1421013)------------------------------
% 0.16/2.50 % (1421007)Success in time 1.465 s
% 0.16/2.50 % Vampire exiting
%------------------------------------------------------------------------------