%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP074-1 : 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 : n010.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 10:12:31 AM UTC 2026
% Result : Unsatisfiable 8.67s 2.13s
% Output : Refutation 9.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 3
% Syntax : Number of formulae : 49 ( 43 unt; 0 def)
% Number of atoms : 59 ( 58 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 19 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 152 ( 152 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,X3)))),X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
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)) ),
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)) ),
inference(reorient_equations,[],[f3]) ).
fof(f5,plain,
( divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3))))
| a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2))
| divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)) ),
inference(definition_unfolding,[],[f4,f2,f2,f2,f2,f2,f2,f2,f2]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(divide(divide(X1,X1),inverse(divide(divide(divide(X2,X2),X3),divide(X0,divide(X3,X4))))),divide(X5,X0))),X4) = X5,
inference(superposition,[],[f1,f1]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(divide(divide(X3,X3),X4),divide(X0,divide(X4,divide(X2,X5))))) = divide(inverse(divide(divide(divide(X1,X1),X2),X0)),X5),
inference(superposition,[],[f1,f1]) ).
fof(f33,plain,
! [X2,X3,X0,X1] : divide(divide(inverse(divide(divide(divide(X0,X0),X1),X2)),X3),divide(X1,X3)) = X2,
inference(superposition,[],[f1,f7]) ).
fof(f40,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(divide(divide(X0,X0),X1),divide(divide(X2,divide(X3,X4)),divide(X1,divide(X3,X4))))) = X2,
inference(superposition,[],[f1,f7]) ).
fof(f41,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(divide(divide(divide(X0,X0),X1),divide(divide(X2,X3),divide(X1,divide(inverse(divide(divide(divide(X4,X4),X5),divide(X3,divide(X5,X6)))),X6))))) = X2,
inference(superposition,[],[f6,f7]) ).
fof(f44,plain,
! [X2,X3,X0,X1] : inverse(divide(divide(divide(X0,X0),X1),divide(divide(X2,X3),divide(X1,X3)))) = X2,
inference(forward_demodulation,[],[f41,f1]) ).
fof(f62,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(divide(X0,divide(X3,divide(divide(X2,inverse(divide(divide(divide(X1,X1),X2),X0))),X4)))),X4) = X3,
inference(superposition,[],[f1,f33]) ).
fof(f85,plain,
! [X2,X3,X0,X1,X4,X5] : divide(X0,divide(divide(X3,inverse(divide(divide(divide(X4,X4),X3),divide(divide(X1,X1),X2)))),X5)) = divide(X0,divide(X2,X5)),
inference(superposition,[],[f33,f62]) ).
fof(f139,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : divide(divide(X4,inverse(divide(divide(divide(X5,X5),X4),divide(divide(X6,X6),X2)))),X3) = divide(divide(inverse(divide(divide(divide(X0,X0),X1),divide(X2,X3))),X7),divide(X1,X7)),
inference(superposition,[],[f33,f85]) ).
fof(f153,plain,
! [X2,X3,X6,X4,X5] : divide(X2,X3) = divide(divide(X4,inverse(divide(divide(divide(X5,X5),X4),divide(divide(X6,X6),X2)))),X3),
inference(forward_demodulation,[],[f139,f33]) ).
fof(f208,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X3,X3)))),X1) = X2,
inference(superposition,[],[f6,f153]) ).
fof(f275,plain,
! [X2,X3,X0,X4] : divide(divide(X0,X3),divide(X2,X3)) = divide(divide(X0,X4),divide(X2,X4)),
inference(superposition,[],[f33,f44]) ).
fof(f537,plain,
! [X2,X3,X0] : divide(X0,divide(X2,X2)) = divide(X0,divide(X3,X3)),
inference(superposition,[],[f33,f208]) ).
fof(f737,plain,
! [X2,X3,X0,X1,X4] : divide(X3,X3) = divide(divide(inverse(divide(divide(divide(X0,X0),X1),divide(X2,X2))),X4),divide(X1,X4)),
inference(superposition,[],[f33,f537]) ).
fof(f749,plain,
! [X2,X3] : divide(X2,X2) = divide(X3,X3),
inference(forward_demodulation,[],[f737,f33]) ).
fof(f925,plain,
! [X2,X0,X1] : divide(X0,X0) = divide(divide(X1,X1),divide(X2,X2)),
inference(superposition,[],[f537,f749]) ).
fof(f1292,plain,
! [X0,X1] : divide(X1,X1) = inverse(divide(X0,X0)),
inference(superposition,[],[f40,f925]) ).
fof(f1502,plain,
! [X2,X0,X1] : divide(X1,X2) = divide(divide(X1,divide(X0,X0)),X2),
inference(superposition,[],[f153,f1292]) ).
fof(f1647,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(X3,divide(X0,divide(divide(X1,inverse(divide(divide(divide(X2,X2),X1),X3))),X4)))),X4) = divide(X0,divide(X5,X5)),
inference(superposition,[],[f62,f1502]) ).
fof(f1654,plain,
! [X0,X5] : divide(X0,divide(X5,X5)) = X0,
inference(forward_demodulation,[],[f1647,f62]) ).
fof(f1689,plain,
! [X0,X1] : divide(X1,inverse(divide(X0,X0))) = X1,
inference(superposition,[],[f1654,f1292]) ).
fof(f1731,plain,
! [X0,X1] : inverse(divide(divide(X0,X0),X1)) = X1,
inference(superposition,[],[f40,f1654]) ).
fof(f1736,plain,
! [X2,X0,X1] : divide(X0,X1) = divide(divide(X0,X2),divide(X1,X2)),
inference(superposition,[],[f275,f1654]) ).
fof(f2036,plain,
! [X2,X0,X1] : divide(X2,X0) = inverse(divide(divide(X0,X1),divide(X2,X1))),
inference(superposition,[],[f1731,f275]) ).
fof(f2073,plain,
! [X2,X0] : divide(X2,X0) = inverse(divide(X0,X2)),
inference(forward_demodulation,[],[f2036,f1736]) ).
fof(f2102,plain,
! [X0,X1] : divide(divide(X1,X1),X0) = inverse(X0),
inference(superposition,[],[f2073,f1654]) ).
fof(f2269,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f1731,f2102]) ).
fof(f2281,plain,
! [X2,X3,X0,X1] : divide(inverse(X0),divide(X2,X0)) = divide(divide(divide(X1,X1),X3),divide(X2,X3)),
inference(superposition,[],[f275,f2102]) ).
fof(f2303,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(divide(divide(X5,X5),X0),X4)),X1) = inverse(divide(divide(divide(X2,X2),divide(X3,X3)),divide(X4,inverse(divide(X0,X1))))),
inference(superposition,[],[f7,f2102]) ).
fof(f2330,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(divide(divide(X5,X5),X0),X4)),X1) = divide(divide(X4,inverse(divide(X0,X1))),divide(divide(X2,X2),divide(X3,X3))),
inference(forward_demodulation,[],[f2303,f2073]) ).
fof(f2350,plain,
! [X2,X0,X1] : divide(divide(X1,X1),X2) = divide(inverse(X0),divide(X2,X0)),
inference(forward_demodulation,[],[f2281,f1736]) ).
fof(f2398,plain,
! [X3,X0,X1,X4,X5] : divide(inverse(divide(divide(divide(X5,X5),X0),X4)),X1) = divide(divide(X4,inverse(divide(X0,X1))),inverse(divide(X3,X3))),
inference(forward_demodulation,[],[f2330,f2102]) ).
fof(f2409,plain,
! [X2,X0] : inverse(X2) = divide(inverse(X0),divide(X2,X0)),
inference(forward_demodulation,[],[f2350,f2102]) ).
fof(f2441,plain,
! [X0,X1,X4,X5] : divide(inverse(divide(divide(divide(X5,X5),X0),X4)),X1) = divide(X4,inverse(divide(X0,X1))),
inference(forward_demodulation,[],[f2398,f1689]) ).
fof(f2463,plain,
! [X0,X1,X4,X5] : divide(inverse(divide(divide(divide(X5,X5),X0),X4)),X1) = divide(X4,divide(X1,X0)),
inference(forward_demodulation,[],[f2441,f2073]) ).
fof(f2471,plain,
! [X0,X1,X4,X5] : divide(X4,divide(X1,X0)) = divide(divide(X4,divide(divide(X5,X5),X0)),X1),
inference(forward_demodulation,[],[f2463,f2073]) ).
fof(f2478,plain,
! [X0,X1,X4] : divide(X4,divide(X1,X0)) = divide(divide(X4,inverse(X0)),X1),
inference(forward_demodulation,[],[f2471,f2102]) ).
fof(f2616,plain,
( divide(a3,inverse(divide(b3,inverse(c3)))) != divide(a3,divide(inverse(c3),b3))
| a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2))
| divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)) ),
inference(superposition,[],[f5,f2478]) ).
fof(f2627,plain,
( divide(a3,inverse(divide(b3,inverse(c3)))) != divide(a3,divide(inverse(c3),b3))
| a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2)) ),
inference(forward_subsumption_resolution,[],[f2616,f749]) ).
fof(f2759,plain,
( divide(a3,divide(inverse(c3),b3)) != divide(a3,divide(inverse(c3),b3))
| a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2)) ),
inference(forward_demodulation,[],[f2627,f2073]) ).
fof(f2760,plain,
a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2)),
inference(trivial_inequality_removal,[],[f2759]) ).
fof(f2846,plain,
a2 != divide(inverse(b2),divide(inverse(a2),b2)),
inference(forward_demodulation,[],[f2760,f2478]) ).
fof(f2916,plain,
a2 != inverse(inverse(a2)),
inference(forward_demodulation,[],[f2846,f2409]) ).
fof(f2975,plain,
$false,
inference(forward_subsumption_resolution,[],[f2916,f2269]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP074-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n010.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 09:18:31 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 8.67/2.13 % (681643)Input is clausal, will run a generic CNF schedule.
% 8.67/2.13 % (681652)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3310828391:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.67/2.13 % (681651)lrs+10_1_sil=8000:sp=occurrence:random_seed=3204615283:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.67/2.13 % (681649)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2016162729:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.67/2.13 % (681650)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3577291452:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.67/2.13 % (681648)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=2517365209:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.67/2.13 % (681653)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=275381621:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.67/2.13 % (681654)dis-21_1_sil=8000:lcm=predicate:random_seed=3461409859: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)
% 8.67/2.13 % (681652)Instruction limit reached!
% 8.67/2.13 % (681652)------------------------------
% 8.67/2.13 % (681652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.67/2.13 % (681652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.67/2.13 % (681652)CaDiCaL version: 2.1.3
% 8.67/2.13 % (681652)Termination reason: Instruction limit
% 8.67/2.13 % (681652)Termination phase: Saturation
% 8.67/2.13 % (681652)Time elapsed: 0.039 s
% 8.67/2.13 % (681652)Peak memory usage: 89 MB
% 8.67/2.13 % (681652)Instructions burned: 118 (million)
% 8.67/2.13 % (681654)Refutation not found, incomplete strategy
% 8.67/2.13 % (681654)------------------------------
% 8.67/2.13 % (681654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.67/2.13 % (681654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.67/2.13 % (681654)CaDiCaL version: 2.1.3
% 8.67/2.13 % (681654)Termination reason: Refutation not found, incomplete strategy
% 8.67/2.13 % (681654)Time elapsed: 0.001 s
% 8.67/2.13 % (681654)Peak memory usage: 88 MB
% 8.67/2.13 % (681651)Instruction limit reached!
% 8.67/2.13 % (681651)------------------------------
% 8.67/2.13 % (681651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.67/2.13 % (681651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.67/2.13 % (681651)CaDiCaL version: 2.1.3
% 8.67/2.13 % (681651)Termination reason: Instruction limit
% 8.67/2.13 % (681651)Termination phase: Saturation
% 8.67/2.13 % (681651)Time elapsed: 0.067 s
% 8.67/2.13 % (681651)Peak memory usage: 89 MB
% 8.67/2.13 % (681651)Instructions burned: 107 (million)
% 8.67/2.13 % (681662)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=3047572250:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 8.67/2.13 % (681662)Refutation not found, incomplete strategy
% 8.67/2.13 % (681662)------------------------------
% 8.67/2.13 % (681662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.67/2.13 % (681662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.67/2.13 % (681662)CaDiCaL version: 2.1.3
% 8.67/2.13 % (681662)Termination reason: Refutation not found, incomplete strategy
% 8.67/2.13 % (681662)Time elapsed: 0.0000 s
% 8.67/2.13 % (681662)Peak memory usage: 88 MB
% 8.67/2.13 % (681653)Instruction limit reached!
% 8.67/2.13 % (681653)------------------------------
% 8.67/2.13 % (681653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.67/2.13 % (681653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.67/2.13 % (681653)CaDiCaL version: 2.1.3
% 8.67/2.13 % (681653)Termination reason: Instruction limit
% 8.67/2.13 % (681653)Termination phase: Saturation
% 8.67/2.13 % (681653)Time elapsed: 0.101 s
% 8.67/2.13 % (681653)Peak memory usage: 90 MB
% 8.67/2.13 % (681653)Instructions burned: 180 (million)
% 8.67/2.13 % (681663)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1529439659: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)
% 8.67/2.13 % (681663)Refutation not found, incomplete strategy
% 8.67/2.13 % (681663)------------------------------
% 8.67/2.13 % (681663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.67/2.13 % (681663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.67/2.13 % (681663)CaDiCaL version: 2.1.3
% 8.67/2.13 % (681663)Termination reason: Refutation not found, incomplete strategy
% 8.67/2.13 % (681663)Time elapsed: 0.001 s
% 8.67/2.13 % (681663)Peak memory usage: 88 MB
% 8.67/2.13 % (681665)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2454577290:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.67/2.13 % (681665)Refutation not found, incomplete strategy
% 8.67/2.13 % (681665)------------------------------
% 8.67/2.13 % (681665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.67/2.13 % (681665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.67/2.13 % (681665)CaDiCaL version: 2.1.3
% 8.67/2.13 % (681665)Termination reason: Refutation not found, incomplete strategy
% 8.67/2.13 % (681665)Time elapsed: 0.001 s
% 8.67/2.13 % (681665)Peak memory usage: 88 MB
% 8.67/2.13 % (681662)------------------------------
% 8.67/2.13 % (681662)------------------------------
% 8.67/2.13 % (681654)------------------------------
% 8.67/2.13 % (681654)------------------------------
% 8.67/2.13 % (681668)lrs+10_64_to=lpo:sil=8000:random_seed=3709560729:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 8.67/2.13 % (681669)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=519167705:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.67/2.13 % (681668)Instruction limit reached!
% 8.67/2.13 % (681668)------------------------------
% 8.67/2.13 % (681668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.67/2.13 % (681668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.67/2.13 % (681668)CaDiCaL version: 2.1.3
% 8.67/2.13 % (681668)Termination reason: Instruction limit
% 8.67/2.13 % (681668)Termination phase: Saturation
% 8.67/2.13 % (681668)Time elapsed: 0.041 s
% 8.67/2.13 % (681668)Peak memory usage: 89 MB
% 8.67/2.13 % (681668)Instructions burned: 130 (million)
% 8.67/2.13 % (681663)------------------------------
% 8.67/2.13 % (681663)------------------------------
% 8.67/2.13 % (681665)------------------------------
% 8.67/2.13 % (681665)------------------------------
% 8.67/2.13 % (681672)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=801285398:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 8.67/2.13 % (681669)Instruction limit reached!
% 8.67/2.13 % (681669)------------------------------
% 8.67/2.13 % (681669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.67/2.13 % (681669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.67/2.13 % (681669)CaDiCaL version: 2.1.3
% 8.67/2.13 % (681669)Termination reason: Instruction limit
% 8.67/2.13 % (681669)Termination phase: Saturation
% 8.67/2.13 % (681669)Time elapsed: 0.117 s
% 8.67/2.13 % (681669)Peak memory usage: 90 MB
% 8.67/2.13 % (681669)Instructions burned: 194 (million)
% 8.67/2.13 % (681672)Instruction limit reached!
% 8.67/2.13 % (681672)------------------------------
% 8.67/2.13 % (681672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.67/2.13 % (681672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.67/2.13 % (681672)CaDiCaL version: 2.1.3
% 8.67/2.13 % (681672)Termination reason: Instruction limit
% 8.67/2.13 % (681672)Termination phase: Saturation
% 8.67/2.13 % (681672)Time elapsed: 0.051 s
% 8.67/2.13 % (681672)Peak memory usage: 91 MB
% 8.67/2.13 % (681672)Instructions burned: 160 (million)
% 8.67/2.13 % (681673)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2424453990:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 8.67/2.13 % (681674)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=2669540566:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.67/2.13 % (681676)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3529747979:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 8.67/2.13 % (681676)Refutation not found, incomplete strategy
% 8.67/2.13 % (681676)------------------------------
% 8.67/2.13 % (681676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.67/2.13 % (681676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.67/2.13 % (681676)CaDiCaL version: 2.1.3
% 8.67/2.13 % (681676)Termination reason: Refutation not found, incomplete strategy
% 8.67/2.13 % (681676)Time elapsed: 0.001 s
% 8.67/2.13 % (681676)Peak memory usage: 88 MB
% 8.67/2.13 % (681677)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1992378603:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 8.67/2.13 % (681674)Instruction limit reached!
% 8.67/2.13 % (681674)------------------------------
% 8.67/2.13 % (681674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.67/2.13 % (681674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.67/2.13 % (681674)CaDiCaL version: 2.1.3
% 8.67/2.13 % (681674)Termination reason: Instruction limit
% 8.67/2.13 % (681674)Termination phase: Saturation
% 8.67/2.13 % (681674)Time elapsed: 0.062 s
% 8.67/2.13 % (681674)Peak memory usage: 89 MB
% 8.67/2.13 % (681674)Instructions burned: 106 (million)
% 8.67/2.13 % (681677)Instruction limit reached!
% 8.67/2.13 % (681677)------------------------------
% 8.67/2.13 % (681677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.67/2.13 % (681677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.67/2.13 % (681677)CaDiCaL version: 2.1.3
% 8.67/2.13 % (681677)Termination reason: Instruction limit
% 8.67/2.13 % (681677)Termination phase: Saturation
% 8.67/2.13 % (681677)Time elapsed: 0.070 s
% 8.67/2.13 % (681677)Peak memory usage: 91 MB
% 8.67/2.13 % (681677)Instructions burned: 243 (million)
% 8.67/2.13 % (681682)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2771002881:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 8.67/2.13 % (681683)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1482467998:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 8.67/2.13 % (681683)Instruction limit reached!
% 8.67/2.13 % (681683)------------------------------
% 8.67/2.13 % (681683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.67/2.13 % (681683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.67/2.13 % (681683)CaDiCaL version: 2.1.3
% 8.67/2.13 % (681683)Termination reason: Instruction limit
% 8.67/2.13 % (681683)Termination phase: Saturation
% 8.67/2.13 % (681683)Time elapsed: 0.043 s
% 8.67/2.13 % (681683)Peak memory usage: 90 MB
% 8.67/2.13 % (681683)Instructions burned: 136 (million)
% 8.67/2.13 % (681649)First to succeed.
% 8.67/2.13 % (681649)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-681643"
% 8.67/2.13 % (681676)------------------------------
% 8.67/2.13 % (681676)------------------------------
% 8.67/2.13 % (681686)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3621551432:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 8.67/2.13 % (681687)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1257217936:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 8.67/2.13 % (681686)Instruction limit reached!
% 8.67/2.13 % (681686)------------------------------
% 8.67/2.13 % (681686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.67/2.13 % (681686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.67/2.13 % (681686)CaDiCaL version: 2.1.3
% 8.67/2.13 % (681686)Termination reason: Instruction limit
% 8.67/2.13 % (681686)Termination phase: Saturation
% 8.67/2.13 % (681686)Time elapsed: 0.159 s
% 8.67/2.13 % (681686)Peak memory usage: 94 MB
% 8.67/2.13 % (681686)Instructions burned: 502 (million)
% 8.67/2.13 % (681687)Instruction limit reached!
% 8.67/2.13 % (681687)------------------------------
% 8.67/2.13 % (681687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.67/2.13 % (681687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.67/2.13 % (681687)CaDiCaL version: 2.1.3
% 8.67/2.13 % (681687)Termination reason: Instruction limit
% 8.67/2.13 % (681687)Termination phase: Saturation
% 8.67/2.13 % (681687)Time elapsed: 0.118 s
% 8.67/2.13 % (681687)Peak memory usage: 91 MB
% 8.67/2.13 % (681687)Instructions burned: 192 (million)
% 8.67/2.13 % (681649)Refutation found. Thanks to Tanya!
% 8.67/2.13 % SZS status Unsatisfiable for theBenchmark
% 8.67/2.13 % SZS output start Proof for theBenchmark
% See solution above
% 9.55/2.32 % (681649)------------------------------
% 9.55/2.32 % (681649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.55/2.32 % (681649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/2.32 % (681649)CaDiCaL version: 2.1.3
% 9.55/2.32 % (681649)Termination reason: Refutation
% 9.55/2.32 % (681649)Time elapsed: 0.858 s
% 9.55/2.32 % (681649)Peak memory usage: 131 MB
% 9.55/2.32 % (681649)Instructions burned: 1329 (million)
% 9.55/2.32 % (681649)------------------------------
% 9.55/2.32 % (681649)------------------------------
% 9.55/2.32 % (681643)Success in time 1.267 s
% 9.55/2.32 % Vampire exiting
%------------------------------------------------------------------------------