%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP197-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 10:13:18 AM UTC 2026
% Result : Unsatisfiable 0.15s 4.04s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 38 ( 35 unt; 0 def)
% Number of atoms : 41 ( 40 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 19 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 77 ( 77 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_multiply) ).
fof(f2,axiom,
! [X2,X0,X1] :
( multiply(X0,X1) != multiply(X2,X1)
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_cancellation) ).
fof(f3,axiom,
! [X2,X0,X1] :
( multiply(X0,X1) != multiply(X0,X2)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_cancellation) ).
fof(f4,axiom,
! [X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(X1,X1)))) = multiply(X1,multiply(X0,multiply(X0,multiply(X1,X0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condition) ).
fof(f5,negated_conjecture,
multiply(b,multiply(b,multiply(a,multiply(a,a)))) != multiply(a,multiply(b,multiply(a,multiply(a,b)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f19,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X0,multiply(X0,multiply(X1,X0))),X2)) = multiply(multiply(X0,multiply(X0,multiply(X0,multiply(X1,X1)))),X2),
inference(superposition,[],[f1,f4]) ).
fof(f20,plain,
! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(multiply(X1,X2),multiply(X1,X2))))) = multiply(X1,multiply(X2,multiply(X0,multiply(X0,multiply(multiply(X1,X2),X0))))),
inference(superposition,[],[f1,f4]) ).
fof(f21,plain,
! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(multiply(X1,X2),multiply(X1,X2))))) = multiply(X1,multiply(X2,multiply(X0,multiply(X0,multiply(X1,multiply(X2,X0)))))),
inference(forward_demodulation,[],[f20,f1]) ).
fof(f22,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X0,multiply(X0,multiply(X1,X0))),X2)) = multiply(X0,multiply(multiply(X0,multiply(X0,multiply(X1,X1))),X2)),
inference(forward_demodulation,[],[f19,f1]) ).
fof(f33,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,multiply(X0,multiply(X0,multiply(X1,multiply(X2,X0)))))) = multiply(X0,multiply(X0,multiply(X0,multiply(X1,multiply(X2,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f21,f1]) ).
fof(f34,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X0,multiply(X0,multiply(X1,X0))),X2)) = multiply(X0,multiply(X0,multiply(multiply(X0,multiply(X1,X1)),X2))),
inference(forward_demodulation,[],[f22,f1]) ).
fof(f45,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X0,multiply(X0,multiply(X1,X0))),X2)) = multiply(X0,multiply(X0,multiply(X0,multiply(multiply(X1,X1),X2)))),
inference(forward_demodulation,[],[f34,f1]) ).
fof(f53,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X0,multiply(X0,multiply(X1,X0))),X2)) = multiply(X0,multiply(X0,multiply(X0,multiply(X1,multiply(X1,X2))))),
inference(forward_demodulation,[],[f45,f1]) ).
fof(f61,plain,
! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(X1,multiply(X1,X2))))) = multiply(X1,multiply(X0,multiply(multiply(X0,multiply(X1,X0)),X2))),
inference(forward_demodulation,[],[f53,f1]) ).
fof(f63,plain,
! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(X1,multiply(X1,X2))))) = multiply(X1,multiply(X0,multiply(X0,multiply(multiply(X1,X0),X2)))),
inference(forward_demodulation,[],[f61,f1]) ).
fof(f65,plain,
! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(X1,multiply(X1,X2))))) = multiply(X1,multiply(X0,multiply(X0,multiply(X1,multiply(X0,X2))))),
inference(forward_demodulation,[],[f63,f1]) ).
fof(f94,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(multiply(X1,X2),multiply(multiply(X1,X2),X3))))) = multiply(X1,multiply(X2,multiply(X0,multiply(X0,multiply(multiply(X1,X2),multiply(X0,X3)))))),
inference(superposition,[],[f1,f65]) ).
fof(f95,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(multiply(X1,X2),multiply(multiply(X1,X2),X3))))) = multiply(X1,multiply(X2,multiply(X0,multiply(X0,multiply(X1,multiply(X2,multiply(X0,X3))))))),
inference(forward_demodulation,[],[f94,f1]) ).
fof(f109,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X2,multiply(X0,multiply(X0,multiply(X1,multiply(X2,multiply(X0,X3))))))) = multiply(X0,multiply(X0,multiply(X0,multiply(X1,multiply(X2,multiply(multiply(X1,X2),X3)))))),
inference(forward_demodulation,[],[f95,f1]) ).
fof(f123,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X2,multiply(X0,multiply(X0,multiply(X1,multiply(X2,multiply(X0,X3))))))) = multiply(X0,multiply(X0,multiply(X0,multiply(X1,multiply(X2,multiply(X1,multiply(X2,X3))))))),
inference(forward_demodulation,[],[f109,f1]) ).
fof(f163,plain,
! [X0] : multiply(multiply(b,multiply(b,multiply(a,multiply(a,a)))),X0) != multiply(multiply(a,multiply(b,multiply(a,multiply(a,b)))),X0),
inference(unit_resulting_resolution,[],[f2,f5]) ).
fof(f180,plain,
! [X0] : multiply(multiply(b,multiply(b,multiply(a,multiply(a,a)))),X0) != multiply(a,multiply(multiply(b,multiply(a,multiply(a,b))),X0)),
inference(forward_demodulation,[],[f163,f1]) ).
fof(f182,plain,
! [X0] : multiply(multiply(b,multiply(b,multiply(a,multiply(a,a)))),X0) != multiply(a,multiply(b,multiply(multiply(a,multiply(a,b)),X0))),
inference(forward_demodulation,[],[f180,f1]) ).
fof(f184,plain,
! [X0] : multiply(multiply(b,multiply(b,multiply(a,multiply(a,a)))),X0) != multiply(a,multiply(b,multiply(a,multiply(multiply(a,b),X0)))),
inference(forward_demodulation,[],[f182,f1]) ).
fof(f186,plain,
! [X0] : multiply(multiply(b,multiply(b,multiply(a,multiply(a,a)))),X0) != multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,X0))))),
inference(forward_demodulation,[],[f184,f1]) ).
fof(f188,plain,
! [X0] : multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,X0))))) != multiply(b,multiply(multiply(b,multiply(a,multiply(a,a))),X0)),
inference(forward_demodulation,[],[f186,f1]) ).
fof(f190,plain,
! [X0] : multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,X0))))) != multiply(b,multiply(b,multiply(multiply(a,multiply(a,a)),X0))),
inference(forward_demodulation,[],[f188,f1]) ).
fof(f192,plain,
! [X0] : multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,X0))))) != multiply(b,multiply(b,multiply(a,multiply(multiply(a,a),X0)))),
inference(forward_demodulation,[],[f190,f1]) ).
fof(f194,plain,
! [X0] : multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,X0))))) != multiply(b,multiply(b,multiply(a,multiply(a,multiply(a,X0))))),
inference(forward_demodulation,[],[f192,f1]) ).
fof(f202,plain,
! [X0] : multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(X0,X0))))))) != multiply(b,multiply(b,multiply(a,multiply(X0,multiply(a,multiply(a,multiply(X0,a))))))),
inference(superposition,[],[f194,f4]) ).
fof(f207,plain,
! [X0] : multiply(b,multiply(b,multiply(a,multiply(X0,multiply(a,multiply(a,multiply(X0,a))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(X0,X0))))))),
inference(forward_demodulation,[],[f202,f65]) ).
fof(f247,plain,
! [X2,X3,X0,X1] :
( multiply(X0,multiply(X0,multiply(X0,multiply(X1,multiply(X1,X2))))) != multiply(X1,X3)
| multiply(X0,multiply(X0,multiply(X1,multiply(X0,X2)))) = X3 ),
inference(superposition,[],[f3,f65]) ).
fof(f299,plain,
! [X0,X1] : multiply(X0,multiply(X1,multiply(X1,multiply(X0,multiply(X1,multiply(X0,X0)))))) = multiply(X0,multiply(X0,multiply(X1,multiply(X1,multiply(X0,multiply(X0,X1)))))),
inference(superposition,[],[f65,f33]) ).
fof(f4548,plain,
multiply(b,multiply(b,multiply(b,multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,a)))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))))),
inference(unit_resulting_resolution,[],[f247,f207]) ).
fof(f4622,plain,
multiply(a,multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))))) != multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(a,multiply(b,multiply(b,a)))))))),
inference(forward_demodulation,[],[f4548,f123]) ).
fof(f4633,plain,
multiply(a,multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))))) != multiply(a,multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b)))))))),
inference(forward_demodulation,[],[f4622,f299]) ).
fof(f4644,plain,
multiply(a,multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))))),
inference(forward_demodulation,[],[f4633,f65]) ).
fof(f4645,plain,
$false,
inference(trivial_inequality_removal,[],[f4644]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP197-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 09:35:10 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.92/3.43 % (1158435)Input is clausal, will run a generic CNF schedule.
% 17.92/3.43 % (1158512)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2882472751:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 17.92/3.43 % (1158502)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=1351595067:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 17.92/3.43 % (1158511)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2186236966:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 17.92/3.43 % (1158508)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=295422811:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 17.92/3.43 % (1158503)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=210943692:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 17.92/3.43 % (1158510)lrs+10_1_sil=8000:sp=occurrence:random_seed=2687000131:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 17.92/3.43 % (1158513)dis-21_1_sil=8000:lcm=predicate:random_seed=2920702489: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)
% 17.92/3.43 % (1158513)Refutation not found, incomplete strategy
% 17.92/3.43 % (1158513)------------------------------
% 17.92/3.43 % (1158513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.92/3.43 % (1158513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.92/3.43 % (1158513)CaDiCaL version: 2.1.3
% 17.92/3.43 % (1158513)Termination reason: Refutation not found, incomplete strategy
% 17.92/3.43 % (1158513)Time elapsed: 0.002 s
% 17.92/3.43 % (1158513)Peak memory usage: 88 MB
% 17.92/3.43 % (1158512)Instruction limit reached!
% 17.92/3.43 % (1158512)------------------------------
% 17.92/3.43 % (1158512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.92/3.43 % (1158512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.92/3.43 % (1158512)CaDiCaL version: 2.1.3
% 17.92/3.43 % (1158512)Termination reason: Instruction limit
% 17.92/3.43 % (1158512)Termination phase: Saturation
% 17.92/3.43 % (1158512)Time elapsed: 0.080 s
% 17.92/3.43 % (1158512)Peak memory usage: 89 MB
% 17.92/3.43 % (1158512)Instructions burned: 181 (million)
% 17.92/3.43 % (1158511)Instruction limit reached!
% 17.92/3.43 % (1158511)------------------------------
% 17.92/3.43 % (1158511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.92/3.43 % (1158511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.92/3.43 % (1158511)CaDiCaL version: 2.1.3
% 17.92/3.43 % (1158511)Termination reason: Instruction limit
% 17.92/3.43 % (1158511)Termination phase: Saturation
% 17.92/3.43 % (1158511)Time elapsed: 0.075 s
% 17.92/3.43 % (1158511)Peak memory usage: 88 MB
% 17.92/3.43 % (1158511)Instructions burned: 116 (million)
% 17.92/3.43 % (1158510)Instruction limit reached!
% 17.92/3.43 % (1158510)------------------------------
% 17.92/3.43 % (1158510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.92/3.43 % (1158510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.92/3.43 % (1158510)CaDiCaL version: 2.1.3
% 17.92/3.43 % (1158510)Termination reason: Instruction limit
% 17.92/3.43 % (1158510)Termination phase: Saturation
% 17.92/3.43 % (1158510)Time elapsed: 0.097 s
% 17.92/3.43 % (1158510)Peak memory usage: 88 MB
% 17.92/3.43 % (1158510)Instructions burned: 107 (million)
% 17.92/3.43 % (1158513)------------------------------
% 17.92/3.43 % (1158513)------------------------------
% 17.92/3.43 % (1158532)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=438356113:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 17.92/3.43 % (1158534)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2839480991:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 17.92/3.43 % (1158536)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=51805863:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 17.92/3.43 % (1158532)Instruction limit reached!
% 17.92/3.43 % (1158532)------------------------------
% 17.92/3.43 % (1158532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.32/3.77 % (1158532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.32/3.77 % (1158532)CaDiCaL version: 2.1.3
% 20.32/3.77 % (1158532)Termination reason: Instruction limit
% 20.32/3.77 % (1158532)Termination phase: Saturation
% 20.32/3.77 % (1158532)Time elapsed: 0.119 s
% 20.32/3.77 % (1158532)Peak memory usage: 89 MB
% 20.32/3.77 % (1158532)Instructions burned: 144 (million)
% 20.32/3.77 % (1158534)Instruction limit reached!
% 20.32/3.77 % (1158534)------------------------------
% 20.32/3.77 % (1158534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.32/3.77 % (1158534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.32/3.77 % (1158534)CaDiCaL version: 2.1.3
% 20.32/3.77 % (1158534)Termination reason: Instruction limit
% 20.32/3.77 % (1158534)Termination phase: Saturation
% 20.32/3.77 % (1158534)Time elapsed: 0.096 s
% 20.32/3.77 % (1158534)Peak memory usage: 90 MB
% 20.32/3.77 % (1158534)Instructions burned: 191 (million)
% 20.32/3.77 % (1158537)lrs+10_64_to=lpo:sil=8000:random_seed=3688930538:i=126:bd=preordered_2994 on theBenchmark for (2994ds/126Mi)
% 20.32/3.77 % (1158536)Instruction limit reached!
% 20.32/3.77 % (1158536)------------------------------
% 20.32/3.77 % (1158536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.32/3.77 % (1158536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.32/3.77 % (1158536)CaDiCaL version: 2.1.3
% 20.32/3.77 % (1158536)Termination reason: Instruction limit
% 20.32/3.77 % (1158536)Termination phase: Saturation
% 20.32/3.77 % (1158536)Time elapsed: 0.171 s
% 20.32/3.77 % (1158536)Peak memory usage: 89 MB
% 20.32/3.77 % (1158536)Instructions burned: 219 (million)
% 20.32/3.77 % (1158537)Instruction limit reached!
% 20.32/3.77 % (1158537)------------------------------
% 20.32/3.77 % (1158537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.32/3.77 % (1158537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.32/3.77 % (1158537)CaDiCaL version: 2.1.3
% 20.32/3.77 % (1158537)Termination reason: Instruction limit
% 20.32/3.77 % (1158537)Termination phase: Saturation
% 20.32/3.77 % (1158537)Time elapsed: 0.111 s
% 20.32/3.77 % (1158537)Peak memory usage: 88 MB
% 20.32/3.77 % (1158537)Instructions burned: 127 (million)
% 20.32/3.77 % (1158543)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3831779169:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 20.32/3.77 % (1158542)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1317770981:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 20.32/3.77 % (1158543)Instruction limit reached!
% 20.32/3.77 % (1158543)------------------------------
% 20.32/3.77 % (1158543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.32/3.77 % (1158543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.32/3.77 % (1158543)CaDiCaL version: 2.1.3
% 20.32/3.77 % (1158543)Termination reason: Instruction limit
% 20.32/3.77 % (1158543)Termination phase: Saturation
% 20.32/3.77 % (1158543)Time elapsed: 0.102 s
% 20.32/3.77 % (1158543)Peak memory usage: 90 MB
% 20.32/3.77 % (1158543)Instructions burned: 158 (million)
% 20.32/3.77 % (1158550)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3364151604:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 20.32/3.77 % (1158542)Instruction limit reached!
% 20.32/3.77 % (1158542)------------------------------
% 20.32/3.77 % (1158542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.32/3.77 % (1158542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.32/3.77 % (1158542)CaDiCaL version: 2.1.3
% 20.32/3.77 % (1158542)Termination reason: Instruction limit
% 20.32/3.77 % (1158542)Termination phase: Saturation
% 20.32/3.77 % (1158542)Time elapsed: 0.171 s
% 20.32/3.77 % (1158542)Peak memory usage: 89 MB
% 20.32/3.77 % (1158542)Instructions burned: 195 (million)
% 20.32/3.77 % (1158551)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=478844512:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2991 on theBenchmark for (2991ds/106Mi)
% 20.32/3.77 % (1158551)Instruction limit reached!
% 20.32/3.77 % (1158551)------------------------------
% 20.32/3.77 % (1158551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.32/3.77 % (1158551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.32/3.77 % (1158551)CaDiCaL version: 2.1.3
% 20.32/3.77 % (1158551)Termination reason: Instruction limit
% 20.32/3.77 % (1158551)Termination phase: Saturation
% 20.32/3.77 % (1158551)Time elapsed: 0.097 s
% 20.32/3.77 % (1158551)Peak memory usage: 89 MB
% 20.32/3.77 % (1158551)Instructions burned: 106 (million)
% 20.32/3.77 % (1158556)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1745069514:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 20.32/3.77 % (1158558)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2403594330:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2988 on theBenchmark for (2988ds/242Mi)
% 20.32/3.77 % (1158556)Instruction limit reached!
% 20.32/3.77 % (1158556)------------------------------
% 20.32/3.77 % (1158556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.32/3.77 % (1158556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.32/3.77 % (1158556)CaDiCaL version: 2.1.3
% 20.32/3.77 % (1158556)Termination reason: Instruction limit
% 20.32/3.77 % (1158556)Termination phase: Saturation
% 20.32/3.77 % (1158556)Time elapsed: 0.095 s
% 20.32/3.77 % (1158556)Peak memory usage: 88 MB
% 20.32/3.77 % (1158556)Instructions burned: 107 (million)
% 20.32/3.77 % (1158560)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1474902947:cond=fast:i=5208:av=off_2987 on theBenchmark for (2987ds/5208Mi)
% 20.32/3.77 % (1158558)Instruction limit reached!
% 20.32/3.77 % (1158558)------------------------------
% 20.32/3.77 % (1158558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.32/3.77 % (1158558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.32/3.77 % (1158558)CaDiCaL version: 2.1.3
% 20.32/3.77 % (1158558)Termination reason: Instruction limit
% 20.32/3.77 % (1158558)Termination phase: Saturation
% 20.32/3.77 % (1158558)Time elapsed: 0.225 s
% 20.32/3.77 % (1158558)Peak memory usage: 89 MB
% 20.32/3.77 % (1158558)Instructions burned: 243 (million)
% 20.32/3.77 % (1158565)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1764489553:i=134:sd=2:doe=on:ss=axioms:sgt=14_2986 on theBenchmark for (2986ds/134Mi)
% 20.32/3.77 % (1158565)Instruction limit reached!
% 20.32/3.77 % (1158565)------------------------------
% 20.32/3.77 % (1158565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.32/3.77 % (1158565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.32/3.77 % (1158565)CaDiCaL version: 2.1.3
% 20.32/3.77 % (1158565)Termination reason: Instruction limit
% 20.32/3.77 % (1158565)Termination phase: Saturation
% 20.32/3.77 % (1158565)Time elapsed: 0.119 s
% 20.32/3.77 % (1158565)Peak memory usage: 88 MB
% 20.32/3.77 % (1158565)Instructions burned: 134 (million)
% 20.32/3.77 % (1158569)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=409237891:i=499:bd=all_2984 on theBenchmark for (2984ds/499Mi)
% 20.32/3.77 % (1158574)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=209538394:i=191:fgj=on:bd=all_2982 on theBenchmark for (2982ds/191Mi)
% 20.32/3.77 % (1158574)Instruction limit reached!
% 20.32/3.77 % (1158574)------------------------------
% 20.32/3.77 % (1158574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.32/3.77 % (1158574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.32/3.77 % (1158574)CaDiCaL version: 2.1.3
% 20.32/3.77 % (1158574)Termination reason: Instruction limit
% 20.32/3.77 % (1158574)Termination phase: Saturation
% 20.32/3.77 % (1158574)Time elapsed: 0.180 s
% 20.32/3.77 % (1158574)Peak memory usage: 89 MB
% 20.32/3.77 % (1158574)Instructions burned: 191 (million)
% 20.32/3.77 % (1158569)Instruction limit reached!
% 20.32/3.77 % (1158569)------------------------------
% 20.32/3.77 % (1158569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.32/3.77 % (1158569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.32/3.77 % (1158569)CaDiCaL version: 2.1.3
% 20.32/3.77 % (1158569)Termination reason: Instruction limit
% 20.32/3.77 % (1158569)Termination phase: Saturation
% 20.32/3.77 % (1158569)Time elapsed: 0.447 s
% 20.32/3.77 % (1158569)Peak memory usage: 94 MB
% 20.32/3.77 % (1158569)Instructions burned: 499 (million)
% 20.32/3.77 % (1158503)First to succeed.
% 20.32/3.77 % (1158503)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1158435"
% 20.32/3.77 % (1158578)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=831946150:i=264:kws=precedence:fsr=off_2977 on theBenchmark for (2977ds/264Mi)
% 0.15/4.04 % (1158581)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2733887477:cond=on:i=156:bs=on:gtg=exists_all:er=known_2976 on theBenchmark for (2976ds/156Mi)
% 0.15/4.04 % (1158550)Instruction limit reached!
% 0.15/4.04 % (1158550)------------------------------
% 0.15/4.04 % (1158550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/4.04 % (1158550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/4.04 % (1158550)CaDiCaL version: 2.1.3
% 0.15/4.04 % (1158550)Termination reason: Instruction limit
% 0.15/4.04 % (1158550)Termination phase: Saturation
% 0.15/4.04 % (1158550)Time elapsed: 1.742 s
% 0.15/4.04 % (1158550)Peak memory usage: 146 MB
% 0.15/4.04 % (1158550)Instructions burned: 3395 (million)
% 0.15/4.04 % (1158581)Instruction limit reached!
% 0.15/4.04 % (1158581)------------------------------
% 0.15/4.04 % (1158581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/4.04 % (1158581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/4.04 % (1158581)CaDiCaL version: 2.1.3
% 0.15/4.04 % (1158581)Termination reason: Instruction limit
% 0.15/4.04 % (1158581)Termination phase: Saturation
% 0.15/4.04 % (1158581)Time elapsed: 0.144 s
% 0.15/4.04 % (1158581)Peak memory usage: 88 MB
% 0.15/4.04 % (1158581)Instructions burned: 157 (million)
% 0.15/4.04 % (1158578)Instruction limit reached!
% 0.15/4.04 % (1158578)------------------------------
% 0.15/4.04 % (1158578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/4.04 % (1158578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/4.04 % (1158578)CaDiCaL version: 2.1.3
% 0.15/4.04 % (1158578)Termination reason: Instruction limit
% 0.15/4.04 % (1158578)Termination phase: Saturation
% 0.15/4.04 % (1158578)Time elapsed: 0.231 s
% 0.15/4.04 % (1158578)Peak memory usage: 90 MB
% 0.15/4.04 % (1158578)Instructions burned: 265 (million)
% 0.15/4.04 % (1158503)Refutation found. Thanks to Tanya!
% 0.15/4.04 % SZS status Unsatisfiable for theBenchmark
% 0.15/4.04 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/4.04 % (1158503)------------------------------
% 0.15/4.04 % (1158503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/4.04 % (1158503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/4.04 % (1158503)CaDiCaL version: 2.1.3
% 0.15/4.04 % (1158503)Termination reason: Refutation
% 0.15/4.04 % (1158503)Time elapsed: 2.220 s
% 0.15/4.04 % (1158503)Peak memory usage: 139 MB
% 0.15/4.04 % (1158503)Instructions burned: 2122 (million)
% 0.15/4.04 % (1158503)------------------------------
% 0.15/4.04 % (1158503)------------------------------
% 0.15/4.04 % (1158435)Success in time 2.913 s
% 0.15/4.04 % Vampire exiting
%------------------------------------------------------------------------------