%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP402-1 : 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 6.52s 1.78s
% Output : Refutation 8.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 5
% Syntax : Number of formulae : 62 ( 54 unt; 0 def)
% Number of atoms : 70 ( 69 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 14 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 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 : 143 ( 143 !; 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(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] : multiply(commutator(X0,X1),X2) = multiply(X2,commutator(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nilpotency) ).
fof(f6,negated_conjecture,
commutator(commutator(a,b),c) != commutator(a,commutator(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutator_is_associative) ).
fof(f18,plain,
! [X0] : multiply(X0,commutator(commutator(a,b),c)) != multiply(X0,commutator(a,commutator(b,c))),
inference(unit_resulting_resolution,[],[f3,f6]) ).
fof(f20,plain,
! [X0] : multiply(X0,commutator(X0,X0)) = X0,
inference(unit_resulting_resolution,[],[f3,f4]) ).
fof(f27,plain,
! [X2,X0,X1] :
( multiply(X0,X1) != multiply(X1,X2)
| multiply(X0,commutator(X0,X1)) = X2 ),
inference(superposition,[],[f3,f4]) ).
fof(f31,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X1,multiply(multiply(X0,commutator(X0,X1)),X2)),
inference(superposition,[],[f1,f4]) ).
fof(f33,plain,
! [X2,X3,X0,X1] : multiply(commutator(X1,X2),multiply(X0,X3)) = multiply(multiply(X0,commutator(X1,X2)),X3),
inference(superposition,[],[f1,f5]) ).
fof(f41,plain,
! [X2,X3,X0,X1] :
( multiply(X0,multiply(X1,X2)) != multiply(multiply(X0,X1),X3)
| X2 = X3 ),
inference(superposition,[],[f3,f1]) ).
fof(f44,plain,
! [X2,X3,X0,X1] :
( multiply(X0,multiply(X1,X2)) != multiply(X0,multiply(X1,X3))
| X2 = X3 ),
inference(forward_demodulation,[],[f41,f1]) ).
fof(f48,plain,
! [X2,X3,X0,X1] : multiply(commutator(X1,X2),multiply(X0,X3)) = multiply(X0,multiply(commutator(X1,X2),X3)),
inference(forward_demodulation,[],[f33,f1]) ).
fof(f50,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X1,multiply(X0,multiply(commutator(X0,X1),X2))),
inference(forward_demodulation,[],[f31,f1]) ).
fof(f52,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,multiply(commutator(X0,X1),X2))),
inference(forward_demodulation,[],[f50,f1]) ).
fof(f54,plain,
! [X2,X0,X1] : commutator(X0,X1) = multiply(commutator(X0,X1),commutator(commutator(X0,X1),X2)),
inference(unit_resulting_resolution,[],[f27,f5]) ).
fof(f70,plain,
multiply(commutator(a,b),c) != multiply(c,multiply(commutator(a,b),commutator(a,commutator(b,c)))),
inference(unit_resulting_resolution,[],[f27,f18]) ).
fof(f80,plain,
multiply(c,multiply(commutator(a,b),commutator(a,commutator(b,c)))) != multiply(c,commutator(a,b)),
inference(forward_demodulation,[],[f70,f5]) ).
fof(f107,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,multiply(commutator(X0,X0),X1)),
inference(unit_resulting_resolution,[],[f3,f52]) ).
fof(f113,plain,
! [X0,X1] : multiply(X0,multiply(X1,commutator(commutator(X0,X1),X0))) = multiply(X1,multiply(commutator(X0,X1),X0)),
inference(superposition,[],[f52,f4]) ).
fof(f131,plain,
! [X0,X1] : multiply(X1,multiply(X0,commutator(X0,X1))) = multiply(X0,multiply(X1,commutator(commutator(X0,X1),X0))),
inference(forward_demodulation,[],[f113,f5]) ).
fof(f136,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,multiply(X1,commutator(commutator(X0,X1),X0))),
inference(forward_demodulation,[],[f131,f4]) ).
fof(f139,plain,
! [X0,X1] : multiply(commutator(X0,X0),X1) = X1,
inference(unit_resulting_resolution,[],[f3,f107]) ).
fof(f150,plain,
! [X0] : multiply(commutator(X0,X0),X0) = multiply(X0,commutator(commutator(X0,X0),X0)),
inference(superposition,[],[f4,f107]) ).
fof(f166,plain,
! [X0] : multiply(X0,commutator(X0,X0)) = multiply(X0,commutator(commutator(X0,X0),X0)),
inference(forward_demodulation,[],[f150,f5]) ).
fof(f175,plain,
! [X0] : multiply(X0,commutator(commutator(X0,X0),X0)) = X0,
inference(forward_demodulation,[],[f166,f20]) ).
fof(f233,plain,
! [X2,X0,X1] : multiply(commutator(X1,X2),X0) = multiply(X0,multiply(commutator(X1,X2),commutator(commutator(X0,X0),X0))),
inference(superposition,[],[f48,f175]) ).
fof(f258,plain,
! [X2,X0,X1] : multiply(X0,commutator(X1,X2)) = multiply(X0,multiply(commutator(X1,X2),commutator(X0,commutator(X1,X2)))),
inference(superposition,[],[f4,f48]) ).
fof(f268,plain,
! [X2,X0,X1] : multiply(commutator(X0,X1),X2) = multiply(commutator(X0,X1),multiply(X2,commutator(commutator(X0,X1),X2))),
inference(superposition,[],[f4,f48]) ).
fof(f373,plain,
! [X2,X0,X1] : multiply(commutator(X0,X1),commutator(commutator(X0,X1),X2)) = multiply(commutator(X0,X1),commutator(commutator(X2,X2),X2)),
inference(unit_resulting_resolution,[],[f27,f233]) ).
fof(f406,plain,
! [X2,X0,X1] : commutator(X0,X1) = multiply(commutator(X0,X1),commutator(commutator(X2,X2),X2)),
inference(forward_demodulation,[],[f373,f54]) ).
fof(f461,plain,
! [X2,X0,X1] :
( multiply(X0,X1) != multiply(X0,multiply(X1,X2))
| commutator(commutator(X0,X1),X0) = X2 ),
inference(superposition,[],[f44,f136]) ).
fof(f490,plain,
! [X0] : commutator(X0,X0) = commutator(commutator(X0,X0),X0),
inference(unit_resulting_resolution,[],[f461,f4]) ).
fof(f504,plain,
! [X0,X1] :
( multiply(X1,X0) != multiply(X1,X0)
| commutator(commutator(X0,X0),X0) = commutator(commutator(X1,X0),X1) ),
inference(superposition,[],[f461,f175]) ).
fof(f513,plain,
! [X2,X0,X1] :
( multiply(X0,commutator(X1,X2)) != multiply(X0,commutator(X1,X2))
| commutator(X0,commutator(X1,X2)) = commutator(commutator(X0,commutator(X1,X2)),X0) ),
inference(superposition,[],[f461,f258]) ).
fof(f516,plain,
! [X2,X0,X1] :
( multiply(commutator(X0,X1),X2) != multiply(commutator(X0,X1),X2)
| commutator(commutator(X0,X1),X2) = commutator(commutator(commutator(X0,X1),X2),commutator(X0,X1)) ),
inference(superposition,[],[f461,f268]) ).
fof(f519,plain,
! [X2,X0,X1] : commutator(commutator(X0,X1),X2) = commutator(commutator(commutator(X0,X1),X2),commutator(X0,X1)),
inference(trivial_inequality_removal,[],[f516]) ).
fof(f520,plain,
! [X2,X0,X1] : commutator(X0,commutator(X1,X2)) = commutator(commutator(X0,commutator(X1,X2)),X0),
inference(trivial_inequality_removal,[],[f513]) ).
fof(f521,plain,
! [X0,X1] : commutator(commutator(X0,X0),X0) = commutator(commutator(X1,X0),X1),
inference(trivial_inequality_removal,[],[f504]) ).
fof(f543,plain,
! [X0,X1] : commutator(commutator(X1,X1),X1) = commutator(commutator(commutator(X0,X0),X0),commutator(X1,X0)),
inference(superposition,[],[f521,f521]) ).
fof(f578,plain,
! [X0,X1] : commutator(commutator(X1,X1),X1) = commutator(commutator(X0,X0),commutator(X1,X0)),
inference(forward_demodulation,[],[f543,f490]) ).
fof(f646,plain,
! [X2,X0,X1] : multiply(commutator(X1,X2),commutator(X0,X0)) = multiply(commutator(X0,X0),multiply(commutator(X1,X2),commutator(commutator(commutator(X0,X0),X0),commutator(X0,X0)))),
inference(superposition,[],[f233,f578]) ).
fof(f647,plain,
! [X0,X1] : commutator(commutator(commutator(X0,X0),X0),commutator(X0,X0)) = commutator(commutator(X1,commutator(X0,X0)),X1),
inference(superposition,[],[f521,f578]) ).
fof(f650,plain,
! [X0,X1] : commutator(X1,commutator(X0,X0)) = commutator(commutator(commutator(X0,X0),X0),commutator(X0,X0)),
inference(forward_demodulation,[],[f647,f520]) ).
fof(f651,plain,
! [X2,X0,X1] : multiply(commutator(X1,X2),commutator(X0,X0)) = multiply(commutator(X1,X2),commutator(commutator(commutator(X0,X0),X0),commutator(X0,X0))),
inference(forward_demodulation,[],[f646,f139]) ).
fof(f670,plain,
! [X0,X1] : commutator(commutator(X0,X0),X0) = commutator(X1,commutator(X0,X0)),
inference(forward_demodulation,[],[f650,f519]) ).
fof(f671,plain,
! [X2,X0,X1] : multiply(commutator(X1,X2),commutator(X0,X0)) = multiply(commutator(X1,X2),commutator(commutator(X0,X0),X0)),
inference(forward_demodulation,[],[f651,f519]) ).
fof(f685,plain,
! [X0,X1] : commutator(X0,X0) = commutator(X1,commutator(X0,X0)),
inference(forward_demodulation,[],[f670,f490]) ).
fof(f686,plain,
! [X2,X0,X1] : commutator(X1,X2) = multiply(commutator(X1,X2),commutator(X0,X0)),
inference(forward_demodulation,[],[f671,f406]) ).
fof(f714,plain,
! [X0,X1] : commutator(commutator(X0,X0),X1) = commutator(commutator(commutator(X0,X0),commutator(X0,X0)),commutator(X0,X0)),
inference(superposition,[],[f521,f685]) ).
fof(f737,plain,
! [X0,X1] : commutator(commutator(X0,X0),commutator(X0,X0)) = commutator(commutator(X0,X0),X1),
inference(forward_demodulation,[],[f714,f519]) ).
fof(f743,plain,
! [X0,X1] : commutator(commutator(X0,X0),X0) = commutator(commutator(X0,X0),X1),
inference(forward_demodulation,[],[f737,f578]) ).
fof(f744,plain,
! [X0,X1] : commutator(X0,X0) = commutator(commutator(X0,X0),X1),
inference(forward_demodulation,[],[f743,f490]) ).
fof(f755,plain,
! [X0,X1] : commutator(X0,X0) = commutator(commutator(X1,X0),X1),
inference(superposition,[],[f521,f744]) ).
fof(f826,plain,
! [X2,X0,X1] : commutator(commutator(X2,X2),X2) = commutator(commutator(commutator(X0,X1),X0),commutator(X2,X1)),
inference(superposition,[],[f578,f755]) ).
fof(f829,plain,
! [X2,X0,X1] : commutator(commutator(X0,X1),X0) = commutator(commutator(commutator(X0,X1),X0),X2),
inference(superposition,[],[f744,f755]) ).
fof(f866,plain,
! [X2,X0,X1] : commutator(commutator(X0,X1),X0) = commutator(commutator(X2,X2),X2),
inference(forward_demodulation,[],[f826,f829]) ).
fof(f882,plain,
! [X2,X0,X1] : commutator(commutator(X0,X1),X0) = commutator(X2,X2),
inference(forward_demodulation,[],[f866,f755]) ).
fof(f1587,plain,
! [X2,X3,X0,X1] : commutator(X0,commutator(X1,X2)) = commutator(X3,X3),
inference(superposition,[],[f882,f520]) ).
fof(f2019,plain,
! [X0] : multiply(c,commutator(a,b)) != multiply(c,multiply(commutator(a,b),commutator(X0,X0))),
inference(superposition,[],[f80,f1587]) ).
fof(f2071,plain,
multiply(c,commutator(a,b)) != multiply(c,commutator(a,b)),
inference(forward_demodulation,[],[f2019,f686]) ).
fof(f2072,plain,
$false,
inference(trivial_inequality_removal,[],[f2071]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP402-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 10:05:30 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 6.52/1.78 % (1421444)Input is clausal, will run a generic CNF schedule.
% 6.52/1.78 % (1421454)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3367337019:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.52/1.78 % (1421450)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=437148628:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.52/1.78 % (1421453)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3306936909:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.52/1.78 % (1421455)dis-21_1_sil=8000:lcm=predicate:random_seed=2323189954: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)
% 6.52/1.78 % (1421452)lrs+10_1_sil=8000:sp=occurrence:random_seed=244938873:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.52/1.78 % (1421451)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2466282523:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.52/1.78 % (1421449)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=1271578057:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.52/1.78 % (1421455)Refutation not found, incomplete strategy
% 6.52/1.78 % (1421455)------------------------------
% 6.52/1.78 % (1421455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.78 % (1421455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.78 % (1421455)CaDiCaL version: 2.1.3
% 6.52/1.78 % (1421455)Termination reason: Refutation not found, incomplete strategy
% 6.52/1.78 % (1421455)Time elapsed: 0.001 s
% 6.52/1.78 % (1421455)Peak memory usage: 88 MB
% 6.52/1.78 % (1421452)Instruction limit reached!
% 6.52/1.78 % (1421452)------------------------------
% 6.52/1.78 % (1421452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.78 % (1421452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.78 % (1421452)CaDiCaL version: 2.1.3
% 6.52/1.78 % (1421452)Termination reason: Instruction limit
% 6.52/1.78 % (1421452)Termination phase: Saturation
% 6.52/1.78 % (1421452)Time elapsed: 0.069 s
% 6.52/1.78 % (1421452)Peak memory usage: 88 MB
% 6.52/1.78 % (1421452)Instructions burned: 108 (million)
% 6.52/1.78 % (1421453)Instruction limit reached!
% 6.52/1.78 % (1421453)------------------------------
% 6.52/1.78 % (1421453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.78 % (1421453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.78 % (1421453)CaDiCaL version: 2.1.3
% 6.52/1.78 % (1421453)Termination reason: Instruction limit
% 6.52/1.78 % (1421453)Termination phase: Saturation
% 6.52/1.78 % (1421453)Time elapsed: 0.069 s
% 6.52/1.78 % (1421453)Peak memory usage: 88 MB
% 6.52/1.78 % (1421453)Instructions burned: 115 (million)
% 6.52/1.78 % (1421454)Instruction limit reached!
% 6.52/1.78 % (1421454)------------------------------
% 6.52/1.78 % (1421454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.78 % (1421454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.78 % (1421454)CaDiCaL version: 2.1.3
% 6.52/1.78 % (1421454)Termination reason: Instruction limit
% 6.52/1.78 % (1421454)Termination phase: Saturation
% 6.52/1.78 % (1421454)Time elapsed: 0.105 s
% 6.52/1.78 % (1421454)Peak memory usage: 89 MB
% 6.52/1.78 % (1421454)Instructions burned: 181 (million)
% 6.52/1.78 % (1421464)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1929593128: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)
% 6.52/1.78 % (1421463)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=656173883:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.52/1.78 % (1421463)Refutation not found, incomplete strategy
% 6.52/1.78 % (1421463)------------------------------
% 6.52/1.78 % (1421463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.78 % (1421463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.78 % (1421463)CaDiCaL version: 2.1.3
% 6.52/1.78 % (1421463)Termination reason: Refutation not found, incomplete strategy
% 6.52/1.78 % (1421463)Time elapsed: 0.001 s
% 6.52/1.78 % (1421463)Peak memory usage: 88 MB
% 6.52/1.78 % (1421455)------------------------------
% 6.52/1.78 % (1421455)------------------------------
% 6.52/1.78 % (1421464)Instruction limit reached!
% 6.52/1.78 % (1421464)------------------------------
% 6.52/1.78 % (1421464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.78 % (1421464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.78 % (1421464)CaDiCaL version: 2.1.3
% 6.52/1.78 % (1421464)Termination reason: Instruction limit
% 6.52/1.78 % (1421464)Termination phase: Saturation
% 6.52/1.78 % (1421464)Time elapsed: 0.062 s
% 6.52/1.78 % (1421464)Peak memory usage: 89 MB
% 6.52/1.78 % (1421464)Instructions burned: 192 (million)
% 6.52/1.78 % (1421465)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2602052053:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.52/1.78 % (1421465)Refutation not found, incomplete strategy
% 6.52/1.78 % (1421465)------------------------------
% 6.52/1.78 % (1421465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.78 % (1421465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.78 % (1421465)CaDiCaL version: 2.1.3
% 6.52/1.78 % (1421465)Termination reason: Refutation not found, incomplete strategy
% 6.52/1.78 % (1421465)Time elapsed: 0.001 s
% 6.52/1.78 % (1421465)Peak memory usage: 87 MB
% 6.52/1.78 % (1421469)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=670365050:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.52/1.78 % (1421468)lrs+10_64_to=lpo:sil=8000:random_seed=792722506:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 6.52/1.78 % (1421469)Instruction limit reached!
% 6.52/1.78 % (1421469)------------------------------
% 6.52/1.78 % (1421469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.78 % (1421469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.78 % (1421469)CaDiCaL version: 2.1.3
% 6.52/1.78 % (1421469)Termination reason: Instruction limit
% 6.52/1.78 % (1421469)Termination phase: Saturation
% 6.52/1.78 % (1421469)Time elapsed: 0.062 s
% 6.52/1.78 % (1421469)Peak memory usage: 89 MB
% 6.52/1.78 % (1421469)Instructions burned: 195 (million)
% 6.52/1.78 % (1421463)------------------------------
% 6.52/1.78 % (1421463)------------------------------
% 6.52/1.78 % (1421468)Instruction limit reached!
% 6.52/1.78 % (1421468)------------------------------
% 6.52/1.78 % (1421468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.78 % (1421468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.78 % (1421468)CaDiCaL version: 2.1.3
% 6.52/1.78 % (1421468)Termination reason: Instruction limit
% 6.52/1.78 % (1421468)Termination phase: Saturation
% 6.52/1.78 % (1421468)Time elapsed: 0.075 s
% 6.52/1.78 % (1421468)Peak memory usage: 88 MB
% 6.52/1.78 % (1421468)Instructions burned: 126 (million)
% 6.52/1.78 % (1421465)------------------------------
% 6.52/1.78 % (1421465)------------------------------
% 6.52/1.78 % (1421473)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4237808729:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 6.52/1.78 % (1421473)Instruction limit reached!
% 6.52/1.78 % (1421473)------------------------------
% 6.52/1.78 % (1421473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.78 % (1421473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.78 % (1421473)CaDiCaL version: 2.1.3
% 6.52/1.78 % (1421473)Termination reason: Instruction limit
% 6.52/1.78 % (1421473)Termination phase: Saturation
% 6.52/1.78 % (1421473)Time elapsed: 0.055 s
% 6.52/1.78 % (1421473)Peak memory usage: 90 MB
% 6.52/1.78 % (1421473)Instructions burned: 158 (million)
% 6.52/1.78 % (1421474)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3114567099:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 6.52/1.78 % (1421475)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=2589189720:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.52/1.78 % (1421475)Instruction limit reached!
% 6.52/1.78 % (1421475)------------------------------
% 6.52/1.78 % (1421475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.78 % (1421475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.78 % (1421475)CaDiCaL version: 2.1.3
% 6.52/1.78 % (1421475)Termination reason: Instruction limit
% 6.52/1.78 % (1421475)Termination phase: Saturation
% 6.52/1.78 % (1421475)Time elapsed: 0.059 s
% 6.52/1.78 % (1421475)Peak memory usage: 88 MB
% 6.52/1.78 % (1421475)Instructions burned: 106 (million)
% 6.52/1.78 % (1421476)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=778267896:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 6.52/1.78 % (1421476)Refutation not found, incomplete strategy
% 6.52/1.78 % (1421476)------------------------------
% 6.52/1.78 % (1421476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.78 % (1421476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.78 % (1421476)CaDiCaL version: 2.1.3
% 6.52/1.78 % (1421476)Termination reason: Refutation not found, incomplete strategy
% 6.52/1.78 % (1421476)Time elapsed: 0.001 s
% 6.52/1.78 % (1421476)Peak memory usage: 87 MB
% 6.52/1.78 % (1421450)First to succeed.
% 6.52/1.78 % (1421450)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1421444"
% 6.52/1.78 % (1421478)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=624242652:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 6.52/1.78 % (1421478)Also succeeded, but the first one will report.
% 6.52/1.78 % (1421482)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3736412378:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 6.52/1.78 % (1421476)------------------------------
% 6.52/1.78 % (1421476)------------------------------
% 6.52/1.78 % (1421450)Refutation found. Thanks to Tanya!
% 6.52/1.78 % SZS status Unsatisfiable for theBenchmark
% 6.52/1.78 % SZS output start Proof for theBenchmark
% See solution above
% 8.49/1.97 % (1421450)------------------------------
% 8.49/1.97 % (1421450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/1.97 % (1421450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/1.97 % (1421450)CaDiCaL version: 2.1.3
% 8.49/1.97 % (1421450)Termination reason: Refutation
% 8.49/1.97 % (1421450)Time elapsed: 0.721 s
% 8.49/1.97 % (1421450)Peak memory usage: 127 MB
% 8.49/1.97 % (1421450)Instructions burned: 1080 (million)
% 8.49/1.97 % (1421450)------------------------------
% 8.49/1.97 % (1421450)------------------------------
% 8.49/1.97 % (1421444)Success in time 1.155 s
% 8.49/1.97 % Vampire exiting
%------------------------------------------------------------------------------