%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP059-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 10:12:29 AM UTC 2026
% Result : Unsatisfiable 9.84s 2.36s
% Output : Refutation 9.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 2
% Syntax : Number of formulae : 50 ( 48 unt; 0 def)
% Number of atoms : 54 ( 53 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 142 ( 142 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),multiply(X3,inverse(X3)))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,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/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f3,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(reorient_equations,[],[f2]) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,inverse(X3)) = inverse(multiply(multiply(multiply(X0,multiply(inverse(multiply(multiply(X1,X2),X0)),X1)),X2),multiply(X4,inverse(X4)))),
inference(superposition,[],[f1,f1]) ).
fof(f16,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(superposition,[],[f4,f4]) ).
fof(f19,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(X4,X5)) = inverse(multiply(multiply(multiply(inverse(inverse(multiply(multiply(multiply(X0,multiply(inverse(multiply(multiply(X1,X2),X0)),X1)),X2),multiply(X3,inverse(X3))))),X4),X5),multiply(X6,inverse(X6)))),
inference(superposition,[],[f1,f4]) ).
fof(f43,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,inverse(X0)),X2)),X1),inverse(X1)),multiply(X3,inverse(X3)))) = X2,
inference(superposition,[],[f1,f16]) ).
fof(f45,plain,
! [X2,X3,X0,X1] : inverse(multiply(X1,X2)) = inverse(multiply(multiply(multiply(inverse(multiply(X0,inverse(X0))),X1),X2),multiply(X3,inverse(X3)))),
inference(superposition,[],[f1,f16]) ).
fof(f54,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(X4,inverse(X4))) = inverse(multiply(multiply(multiply(inverse(inverse(multiply(multiply(multiply(X0,multiply(inverse(multiply(multiply(X1,X2),X0)),X1)),X2),multiply(X3,inverse(X3))))),X5),inverse(X5)),multiply(X6,inverse(X6)))),
inference(superposition,[],[f43,f4]) ).
fof(f74,plain,
! [X4,X5] : inverse(multiply(X4,inverse(X4))) = inverse(multiply(X5,inverse(X5))),
inference(forward_demodulation,[],[f54,f19]) ).
fof(f115,plain,
! [X2,X0,X1] : multiply(X1,inverse(X1)) = multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,inverse(X0)))),
inference(superposition,[],[f16,f74]) ).
fof(f174,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,inverse(X1)) = inverse(multiply(multiply(multiply(inverse(multiply(X2,inverse(X2))),multiply(inverse(multiply(X0,inverse(X0))),X3)),inverse(X3)),multiply(X4,inverse(X4)))),
inference(superposition,[],[f4,f115]) ).
fof(f188,plain,
! [X3,X0,X1] : multiply(X1,inverse(X1)) = inverse(multiply(multiply(inverse(multiply(X0,inverse(X0))),X3),inverse(X3))),
inference(forward_demodulation,[],[f174,f45]) ).
fof(f249,plain,
! [X2,X3,X0,X1] : inverse(X2) = inverse(multiply(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))),X2),multiply(X3,inverse(X3)))),
inference(superposition,[],[f1,f188]) ).
fof(f285,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(inverse(multiply(X2,inverse(X2)))),X3)) = inverse(multiply(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))),X3),multiply(X4,inverse(X4)))),
inference(superposition,[],[f45,f115]) ).
fof(f312,plain,
! [X2,X3,X0,X1] : multiply(X3,inverse(X3)) = inverse(multiply(multiply(inverse(multiply(multiply(X0,X1),inverse(multiply(X2,inverse(X2))))),X0),X1)),
inference(superposition,[],[f4,f45]) ).
fof(f331,plain,
! [X2,X3] : inverse(X3) = inverse(multiply(inverse(inverse(multiply(X2,inverse(X2)))),X3)),
inference(forward_demodulation,[],[f285,f249]) ).
fof(f627,plain,
! [X3,X0,X1] : inverse(X1) = inverse(multiply(multiply(multiply(X0,inverse(X0)),X1),multiply(X3,inverse(X3)))),
inference(superposition,[],[f249,f16]) ).
fof(f735,plain,
! [X0,X1] : inverse(inverse(inverse(inverse(multiply(multiply(X0,inverse(X0)),X1))))) = X1,
inference(superposition,[],[f43,f627]) ).
fof(f791,plain,
! [X2,X0,X1] : multiply(X2,inverse(X2)) = inverse(inverse(inverse(inverse(inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1))))))))),
inference(superposition,[],[f735,f249]) ).
fof(f823,plain,
! [X2,X1] : multiply(X2,inverse(X2)) = inverse(inverse(multiply(X1,inverse(X1)))),
inference(forward_demodulation,[],[f791,f735]) ).
fof(f898,plain,
! [X2,X0] : inverse(inverse(inverse(inverse(multiply(inverse(inverse(multiply(X0,inverse(X0)))),X2))))) = X2,
inference(superposition,[],[f735,f823]) ).
fof(f920,plain,
! [X0,X1] : inverse(X1) = inverse(multiply(multiply(X0,inverse(X0)),X1)),
inference(superposition,[],[f331,f823]) ).
fof(f963,plain,
! [X2] : inverse(inverse(inverse(inverse(X2)))) = X2,
inference(forward_demodulation,[],[f898,f331]) ).
fof(f983,plain,
! [X2,X0,X1] : multiply(multiply(multiply(X1,inverse(X1)),X0),multiply(X2,inverse(X2))) = inverse(inverse(inverse(inverse(X0)))),
inference(superposition,[],[f963,f627]) ).
fof(f995,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(superposition,[],[f735,f963]) ).
fof(f1031,plain,
! [X2,X0,X1] : multiply(multiply(multiply(X1,inverse(X1)),X0),multiply(X2,inverse(X2))) = X0,
inference(forward_demodulation,[],[f983,f963]) ).
fof(f1035,plain,
! [X2,X0] : multiply(X0,multiply(X2,inverse(X2))) = X0,
inference(forward_demodulation,[],[f1031,f995]) ).
fof(f1058,plain,
! [X2,X3,X0,X1] : multiply(X3,inverse(multiply(multiply(inverse(multiply(multiply(X0,X1),inverse(multiply(X2,inverse(X2))))),X0),X1))) = X3,
inference(superposition,[],[f1035,f312]) ).
fof(f1067,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1)) = X2,
inference(superposition,[],[f1,f1035]) ).
fof(f1091,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(multiply(multiply(multiply(X0,inverse(X0)),X1),X2)),X1),multiply(X3,inverse(X3)))) = X2,
inference(superposition,[],[f1,f1035]) ).
fof(f1093,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(multiply(multiply(X0,inverse(X0)),X1)),inverse(multiply(X2,inverse(X2)))),multiply(X3,inverse(X3)))) = X1,
inference(superposition,[],[f43,f1035]) ).
fof(f1099,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(multiply(X0,inverse(X0)),X1)),inverse(multiply(X2,inverse(X2))))) = X1,
inference(forward_demodulation,[],[f1093,f1035]) ).
fof(f1101,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(multiply(multiply(X0,inverse(X0)),X1),X2)),X1)) = X2,
inference(forward_demodulation,[],[f1091,f1035]) ).
fof(f1126,plain,
! [X2,X3] : multiply(X3,inverse(multiply(X2,inverse(X2)))) = X3,
inference(forward_demodulation,[],[f1058,f1067]) ).
fof(f1145,plain,
! [X2,X1] : inverse(multiply(inverse(X1),inverse(multiply(X2,inverse(X2))))) = X1,
inference(forward_demodulation,[],[f1099,f920]) ).
fof(f1146,plain,
! [X2,X1] : inverse(multiply(inverse(multiply(X1,X2)),X1)) = X2,
inference(forward_demodulation,[],[f1101,f995]) ).
fof(f1167,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(forward_demodulation,[],[f1145,f1126]) ).
fof(f1172,plain,
! [X2,X3,X0,X1] : inverse(X0) = multiply(multiply(multiply(inverse(multiply(multiply(X1,X2),X0)),X1),X2),multiply(X3,inverse(X3))),
inference(superposition,[],[f1167,f1]) ).
fof(f1203,plain,
! [X0,X1] : multiply(X1,inverse(X1)) = multiply(inverse(X0),X0),
inference(superposition,[],[f16,f1167]) ).
fof(f1225,plain,
! [X0,X1] : inverse(inverse(inverse(inverse(multiply(multiply(inverse(X0),X0),X1))))) = X1,
inference(superposition,[],[f735,f1167]) ).
fof(f1232,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(forward_demodulation,[],[f1225,f963]) ).
fof(f1270,plain,
! [X2,X0,X1] : inverse(X0) = multiply(multiply(inverse(multiply(multiply(X1,X2),X0)),X1),X2),
inference(forward_demodulation,[],[f1172,f1035]) ).
fof(f1304,plain,
! [X2,X0] : multiply(inverse(X0),X0) = multiply(inverse(X2),X2),
inference(superposition,[],[f1203,f1203]) ).
fof(f2280,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
inference(superposition,[],[f1167,f1146]) ).
fof(f2819,plain,
! [X0,X1] : inverse(X1) = multiply(X0,inverse(multiply(X1,X0))),
inference(superposition,[],[f2280,f1146]) ).
fof(f3489,plain,
! [X2,X0,X1] : multiply(multiply(inverse(inverse(X0)),X1),X2) = inverse(inverse(multiply(X0,multiply(X1,X2)))),
inference(superposition,[],[f1270,f2819]) ).
fof(f3572,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(inverse(inverse(X0)),X1),X2),
inference(forward_demodulation,[],[f3489,f1167]) ).
fof(f3632,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[],[f3572,f1167]) ).
fof(f3723,plain,
$false,
inference(unit_resulting_resolution,[],[f3,f1232,f1304,f3632]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP059-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n017.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 09:12:50 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 8.72/2.09 % (2275629)Input is clausal, will run a generic CNF schedule.
% 8.72/2.09 % (2275640)dis-21_1_sil=8000:lcm=predicate:random_seed=131632853: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)
% 8.72/2.09 % (2275640)Refutation not found, incomplete strategy
% 8.72/2.09 % (2275640)------------------------------
% 8.72/2.09 % (2275640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.09 % (2275640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.09 % (2275640)CaDiCaL version: 2.1.3
% 8.72/2.09 % (2275640)Termination reason: Refutation not found, incomplete strategy
% 8.72/2.09 % (2275640)Time elapsed: 0.001 s
% 8.72/2.09 % (2275640)Peak memory usage: 88 MB
% 8.72/2.09 % (2275635)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3486792721:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.72/2.09 % (2275637)lrs+10_1_sil=8000:sp=occurrence:random_seed=760400631:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.72/2.09 % (2275639)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=256900816:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.72/2.09 % (2275636)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3713225619:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.72/2.09 % (2275634)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=223849479:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.72/2.09 % (2275638)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1416400280:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.72/2.09 % (2275637)Instruction limit reached!
% 8.72/2.09 % (2275637)------------------------------
% 8.72/2.09 % (2275637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.09 % (2275637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.09 % (2275637)CaDiCaL version: 2.1.3
% 8.72/2.09 % (2275637)Termination reason: Instruction limit
% 8.72/2.09 % (2275637)Termination phase: Saturation
% 8.72/2.09 % (2275637)Time elapsed: 0.061 s
% 8.72/2.09 % (2275637)Peak memory usage: 89 MB
% 8.72/2.09 % (2275637)Instructions burned: 107 (million)
% 8.72/2.09 % (2275638)Instruction limit reached!
% 8.72/2.09 % (2275638)------------------------------
% 8.72/2.09 % (2275638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.09 % (2275638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.09 % (2275638)CaDiCaL version: 2.1.3
% 8.72/2.09 % (2275638)Termination reason: Instruction limit
% 8.72/2.09 % (2275638)Termination phase: Saturation
% 8.72/2.09 % (2275638)Time elapsed: 0.067 s
% 8.72/2.09 % (2275638)Peak memory usage: 89 MB
% 8.72/2.09 % (2275638)Instructions burned: 115 (million)
% 8.72/2.09 % (2275639)Instruction limit reached!
% 8.72/2.09 % (2275639)------------------------------
% 8.72/2.09 % (2275639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.09 % (2275639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.09 % (2275639)CaDiCaL version: 2.1.3
% 8.72/2.09 % (2275639)Termination reason: Instruction limit
% 8.72/2.09 % (2275639)Termination phase: Saturation
% 8.72/2.09 % (2275639)Time elapsed: 0.099 s
% 8.72/2.09 % (2275639)Peak memory usage: 89 MB
% 8.72/2.09 % (2275639)Instructions burned: 180 (million)
% 8.72/2.09 % (2275640)------------------------------
% 8.72/2.09 % (2275640)------------------------------
% 8.72/2.09 % (2275648)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=1537290399:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 8.72/2.09 % (2275648)Refutation not found, incomplete strategy
% 8.72/2.09 % (2275648)------------------------------
% 8.72/2.09 % (2275648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.09 % (2275648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.09 % (2275648)CaDiCaL version: 2.1.3
% 8.72/2.09 % (2275648)Termination reason: Refutation not found, incomplete strategy
% 8.72/2.09 % (2275648)Time elapsed: 0.001 s
% 8.72/2.09 % (2275648)Peak memory usage: 88 MB
% 8.72/2.09 % (2275649)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1889556417: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)
% 9.36/2.16 % (2275649)Refutation not found, incomplete strategy
% 9.36/2.16 % (2275649)------------------------------
% 9.36/2.16 % (2275649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.36/2.16 % (2275649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.36/2.16 % (2275649)CaDiCaL version: 2.1.3
% 9.36/2.16 % (2275649)Termination reason: Refutation not found, incomplete strategy
% 9.36/2.16 % (2275649)Time elapsed: 0.001 s
% 9.36/2.16 % (2275649)Peak memory usage: 88 MB
% 9.36/2.16 % (2275651)lrs+10_64_to=lpo:sil=8000:random_seed=616047545:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 9.36/2.16 % (2275650)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3120626304:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 9.36/2.16 % (2275650)Refutation not found, incomplete strategy
% 9.36/2.16 % (2275650)------------------------------
% 9.36/2.16 % (2275650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.36/2.16 % (2275650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.36/2.16 % (2275650)CaDiCaL version: 2.1.3
% 9.36/2.16 % (2275650)Termination reason: Refutation not found, incomplete strategy
% 9.36/2.16 % (2275650)Time elapsed: 0.001 s
% 9.36/2.16 % (2275650)Peak memory usage: 88 MB
% 9.36/2.16 % (2275651)Instruction limit reached!
% 9.36/2.16 % (2275651)------------------------------
% 9.36/2.16 % (2275651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.36/2.16 % (2275651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.36/2.16 % (2275651)CaDiCaL version: 2.1.3
% 9.36/2.16 % (2275651)Termination reason: Instruction limit
% 9.36/2.16 % (2275651)Termination phase: Saturation
% 9.36/2.16 % (2275651)Time elapsed: 0.037 s
% 9.36/2.16 % (2275651)Peak memory usage: 89 MB
% 9.36/2.16 % (2275651)Instructions burned: 128 (million)
% 9.36/2.16 % (2275656)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=721095413:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 9.36/2.16 % (2275656)Instruction limit reached!
% 9.36/2.16 % (2275656)------------------------------
% 9.36/2.16 % (2275656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.36/2.16 % (2275656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.36/2.16 % (2275656)CaDiCaL version: 2.1.3
% 9.36/2.16 % (2275656)Termination reason: Instruction limit
% 9.36/2.16 % (2275656)Termination phase: Saturation
% 9.36/2.16 % (2275656)Time elapsed: 0.057 s
% 9.36/2.16 % (2275656)Peak memory usage: 89 MB
% 9.36/2.16 % (2275656)Instructions burned: 197 (million)
% 9.36/2.16 % (2275648)------------------------------
% 9.36/2.16 % (2275648)------------------------------
% 9.36/2.16 % (2275649)------------------------------
% 9.36/2.16 % (2275649)------------------------------
% 9.36/2.16 % (2275650)------------------------------
% 9.36/2.16 % (2275650)------------------------------
% 9.36/2.16 % (2275658)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1638706356:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 9.36/2.16 % (2275658)Instruction limit reached!
% 9.36/2.16 % (2275658)------------------------------
% 9.36/2.16 % (2275658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.36/2.16 % (2275658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.36/2.16 % (2275658)CaDiCaL version: 2.1.3
% 9.36/2.16 % (2275658)Termination reason: Instruction limit
% 9.36/2.16 % (2275658)Termination phase: Saturation
% 9.36/2.16 % (2275658)Time elapsed: 0.047 s
% 9.36/2.16 % (2275658)Peak memory usage: 90 MB
% 9.36/2.16 % (2275658)Instructions burned: 160 (million)
% 9.36/2.16 % (2275659)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4056683091:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 9.36/2.16 % (2275660)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=2671402440:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 9.36/2.16 % (2275661)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3909514747:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 9.36/2.16 % (2275661)Refutation not found, incomplete strategy
% 9.36/2.16 % (2275661)------------------------------
% 9.36/2.16 % (2275661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.36/2.16 % (2275661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.36/2.16 % (2275661)CaDiCaL version: 2.1.3
% 9.36/2.16 % (2275661)Termination reason: Refutation not found, incomplete strategy
% 9.36/2.16 % (2275661)Time elapsed: 0.001 s
% 9.36/2.16 % (2275661)Peak memory usage: 88 MB
% 9.36/2.16 % (2275664)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1985659059:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 9.36/2.16 % (2275660)Instruction limit reached!
% 9.36/2.16 % (2275660)------------------------------
% 9.36/2.16 % (2275660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.36/2.16 % (2275660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.36/2.16 % (2275660)CaDiCaL version: 2.1.3
% 9.36/2.16 % (2275660)Termination reason: Instruction limit
% 9.36/2.16 % (2275660)Termination phase: Saturation
% 9.36/2.16 % (2275660)Time elapsed: 0.058 s
% 9.36/2.16 % (2275660)Peak memory usage: 89 MB
% 9.36/2.16 % (2275660)Instructions burned: 106 (million)
% 9.36/2.16 % (2275664)Instruction limit reached!
% 9.36/2.16 % (2275664)------------------------------
% 9.36/2.16 % (2275664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.36/2.16 % (2275664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.36/2.16 % (2275664)CaDiCaL version: 2.1.3
% 9.36/2.16 % (2275664)Termination reason: Instruction limit
% 9.36/2.16 % (2275664)Termination phase: Saturation
% 9.36/2.16 % (2275664)Time elapsed: 0.066 s
% 9.36/2.16 % (2275664)Peak memory usage: 90 MB
% 9.36/2.16 % (2275664)Instructions burned: 242 (million)
% 9.36/2.16 % (2275668)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1260598946:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 9.36/2.16 % (2275669)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1534703222:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 9.36/2.16 % (2275669)Instruction limit reached!
% 9.36/2.16 % (2275669)------------------------------
% 9.36/2.16 % (2275669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.36/2.16 % (2275669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.36/2.16 % (2275669)CaDiCaL version: 2.1.3
% 9.36/2.16 % (2275669)Termination reason: Instruction limit
% 9.36/2.16 % (2275669)Termination phase: Saturation
% 9.36/2.16 % (2275669)Time elapsed: 0.039 s
% 9.36/2.16 % (2275669)Peak memory usage: 89 MB
% 9.36/2.16 % (2275669)Instructions burned: 134 (million)
% 9.36/2.16 % (2275661)------------------------------
% 9.36/2.16 % (2275661)------------------------------
% 9.36/2.16 % (2275635)First to succeed.
% 9.36/2.16 % (2275635)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2275629"
% 9.36/2.16 % (2275672)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1886600555:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 9.36/2.16 % (2275673)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=4075468070:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 9.36/2.16 % (2275672)Instruction limit reached!
% 9.36/2.16 % (2275672)------------------------------
% 9.36/2.16 % (2275672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.36/2.16 % (2275672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.36/2.16 % (2275672)CaDiCaL version: 2.1.3
% 9.36/2.16 % (2275672)Termination reason: Instruction limit
% 9.36/2.16 % (2275672)Termination phase: Saturation
% 9.36/2.16 % (2275672)Time elapsed: 0.148 s
% 9.36/2.16 % (2275672)Peak memory usage: 93 MB
% 9.36/2.16 % (2275672)Instructions burned: 500 (million)
% 9.36/2.16 % (2275673)Instruction limit reached!
% 9.36/2.16 % (2275673)------------------------------
% 9.36/2.16 % (2275673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.36/2.16 % (2275673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.36/2.16 % (2275673)CaDiCaL version: 2.1.3
% 9.36/2.16 % (2275673)Termination reason: Instruction limit
% 9.36/2.16 % (2275673)Termination phase: Saturation
% 9.36/2.16 % (2275673)Time elapsed: 0.114 s
% 9.36/2.16 % (2275673)Peak memory usage: 89 MB
% 9.84/2.36 % (2275673)Instructions burned: 192 (million)
% 9.84/2.36 % (2275676)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2811811073:i=264:kws=precedence:fsr=off_2987 on theBenchmark for (2987ds/264Mi)
% 9.84/2.36 % (2275635)Refutation found. Thanks to Tanya!
% 9.84/2.36 % SZS status Unsatisfiable for theBenchmark
% 9.84/2.36 % SZS output start Proof for theBenchmark
% See solution above
% 9.84/2.36 % (2275635)------------------------------
% 9.84/2.36 % (2275635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.84/2.36 % (2275635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/2.36 % (2275635)CaDiCaL version: 2.1.3
% 9.84/2.36 % (2275635)Termination reason: Refutation
% 9.84/2.36 % (2275635)Time elapsed: 0.908 s
% 9.84/2.36 % (2275635)Peak memory usage: 133 MB
% 9.84/2.36 % (2275635)Instructions burned: 1417 (million)
% 9.84/2.36 % (2275635)------------------------------
% 9.84/2.36 % (2275635)------------------------------
% 9.84/2.36 % (2275629)Success in time 1.31 s
% 9.84/2.36 % Vampire exiting
%------------------------------------------------------------------------------