%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP072-1 : 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 : n013.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 7.64s 1.94s
% Output : Refutation 7.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 3
% Syntax : Number of formulae : 48 ( 42 unt; 0 def)
% Number of atoms : 58 ( 57 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 18 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 10 ( 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 : 168 ( 168 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(divide(inverse(divide(X0,X1)),divide(divide(X2,X3),X0)),divide(X3,X2)) = X1,
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(X3,X2) = divide(divide(inverse(X0),divide(divide(X4,X5),divide(inverse(divide(X1,X0)),divide(divide(X2,X3),X1)))),divide(X5,X4)),
inference(superposition,[],[f1,f1]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(inverse(divide(X1,X2)),divide(X0,X1)),divide(divide(X5,X4),divide(inverse(divide(X3,X0)),divide(divide(X4,X5),X3)))) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f9,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(inverse(divide(X1,X2)),divide(divide(divide(X3,X4),divide(inverse(divide(X5,X0)),divide(divide(X4,X3),X5))),X1)),X0) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f15,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : divide(divide(X2,X3),divide(inverse(X4),divide(divide(X3,X2),divide(inverse(divide(X5,X4)),divide(divide(X1,X0),X5))))) = divide(divide(inverse(X6),divide(divide(X7,X8),divide(inverse(divide(X9,X6)),divide(divide(X0,X1),X9)))),divide(X8,X7)),
inference(superposition,[],[f6,f6]) ).
fof(f22,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : divide(X4,X3) = divide(divide(inverse(divide(X0,X1)),divide(divide(X6,X7),divide(inverse(X2),divide(divide(X3,X4),divide(inverse(divide(X5,X2)),divide(divide(X1,X0),X5)))))),divide(X7,X6)),
inference(superposition,[],[f1,f6]) ).
fof(f26,plain,
! [X2,X3,X0,X1,X4,X5] : divide(X1,X0) = divide(divide(X2,X3),divide(inverse(X4),divide(divide(X3,X2),divide(inverse(divide(X5,X4)),divide(divide(X1,X0),X5))))),
inference(forward_demodulation,[],[f15,f6]) ).
fof(f269,plain,
! [X2,X3,X0,X1] : divide(X2,X3) = divide(divide(inverse(divide(X1,X0)),divide(X0,X1)),divide(X3,X2)),
inference(superposition,[],[f22,f26]) ).
fof(f384,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : divide(divide(X1,X0),divide(inverse(divide(X2,X3)),divide(X3,X2))) = divide(divide(inverse(divide(X4,X5)),divide(divide(X6,X7),divide(inverse(X8),divide(divide(X0,X1),divide(inverse(divide(X9,X8)),divide(divide(X5,X4),X9)))))),divide(X7,X6)),
inference(superposition,[],[f22,f269]) ).
fof(f401,plain,
! [X2,X3,X0,X1] : divide(X1,X0) = divide(divide(X1,X0),divide(inverse(divide(X2,X3)),divide(X3,X2))),
inference(forward_demodulation,[],[f384,f22]) ).
fof(f420,plain,
! [X0,X6,X7] : divide(X0,divide(inverse(divide(X6,X7)),divide(X7,X6))) = X0,
inference(superposition,[],[f401,f9]) ).
fof(f448,plain,
! [X2,X3,X0,X1] : divide(X2,X3) = divide(divide(inverse(divide(X3,X2)),divide(X0,X1)),divide(X1,X0)),
inference(superposition,[],[f6,f401]) ).
fof(f452,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(X0,X1)),divide(X1,X0)) = divide(divide(X2,X3),inverse(divide(X3,X2))),
inference(superposition,[],[f269,f401]) ).
fof(f909,plain,
! [X2,X3,X0,X1,X4,X5] : divide(X2,X3) = divide(divide(inverse(divide(X3,X2)),divide(inverse(divide(X4,X5)),divide(X5,X4))),divide(inverse(divide(X0,X1)),divide(X1,X0))),
inference(superposition,[],[f448,f452]) ).
fof(f918,plain,
! [X2,X3,X0,X1,X6,X4,X5] : divide(divide(inverse(divide(inverse(divide(divide(inverse(divide(X2,X3)),divide(divide(X4,X5),X2)),divide(X5,X4))),X6)),divide(inverse(divide(X0,X1)),divide(X1,X0))),X3) = X6,
inference(superposition,[],[f9,f452]) ).
fof(f919,plain,
! [X2,X3,X6,X4,X5] : divide(inverse(divide(inverse(divide(divide(inverse(divide(X2,X3)),divide(divide(X4,X5),X2)),divide(X5,X4))),X6)),X3) = X6,
inference(forward_demodulation,[],[f918,f420]) ).
fof(f926,plain,
! [X2,X3,X4,X5] : divide(X2,X3) = divide(inverse(divide(X3,X2)),divide(inverse(divide(X4,X5)),divide(X5,X4))),
inference(forward_demodulation,[],[f909,f401]) ).
fof(f1022,plain,
! [X3,X6] : divide(inverse(divide(inverse(X3),X6)),X3) = X6,
inference(forward_demodulation,[],[f919,f1]) ).
fof(f1023,plain,
! [X2,X3] : divide(X2,X3) = inverse(divide(X3,X2)),
inference(forward_demodulation,[],[f926,f420]) ).
fof(f1044,plain,
! [X2,X3,X0,X1] : inverse(X0) = divide(divide(X1,X2),divide(inverse(divide(X3,X0)),divide(divide(X2,X1),X3))),
inference(superposition,[],[f1023,f1]) ).
fof(f1101,plain,
! [X2,X3,X0,X1] : inverse(X0) = divide(divide(X1,X2),divide(divide(X0,X3),divide(divide(X2,X1),X3))),
inference(forward_demodulation,[],[f1044,f1023]) ).
fof(f1110,plain,
! [X0,X1] : divide(inverse(X0),divide(inverse(X1),X0)) = X1,
inference(superposition,[],[f1022,f1022]) ).
fof(f1150,plain,
! [X2,X0,X1] : divide(X1,divide(inverse(divide(X2,inverse(divide(inverse(X2),X0)))),X0)) = X1,
inference(superposition,[],[f420,f1022]) ).
fof(f1170,plain,
! [X2,X0,X1] : divide(X1,divide(divide(inverse(divide(inverse(X2),X0)),X2),X0)) = X1,
inference(forward_demodulation,[],[f1150,f1023]) ).
fof(f1214,plain,
! [X0,X1] : divide(X1,divide(X0,X0)) = X1,
inference(forward_demodulation,[],[f1170,f1022]) ).
fof(f1320,plain,
! [X2,X0,X1] : divide(inverse(divide(X0,X1)),divide(divide(X2,X2),X0)) = X1,
inference(superposition,[],[f1,f1214]) ).
fof(f1339,plain,
! [X2,X3,X0,X1,X4,X5] : divide(X1,X1) = divide(divide(inverse(X0),divide(divide(divide(X2,X3),divide(inverse(divide(X4,X5)),divide(divide(X3,X2),X4))),X0)),X5),
inference(superposition,[],[f9,f1214]) ).
fof(f1368,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
inference(superposition,[],[f1023,f1214]) ).
fof(f1418,plain,
! [X2,X3,X0,X1,X4,X5] : divide(X1,X1) = divide(divide(inverse(X0),divide(divide(divide(X2,X3),divide(divide(X5,X4),divide(divide(X3,X2),X4))),X0)),X5),
inference(forward_demodulation,[],[f1339,f1023]) ).
fof(f1436,plain,
! [X0,X1] : divide(inverse(divide(X0,X1)),inverse(X0)) = X1,
inference(forward_demodulation,[],[f1320,f1368]) ).
fof(f1493,plain,
! [X0,X1,X5] : divide(X1,X1) = divide(divide(inverse(X0),divide(inverse(X5),X0)),X5),
inference(forward_demodulation,[],[f1418,f1101]) ).
fof(f1509,plain,
! [X0,X1] : divide(divide(X1,X0),inverse(X0)) = X1,
inference(forward_demodulation,[],[f1436,f1023]) ).
fof(f1540,plain,
! [X1,X5] : divide(X1,X1) = divide(X5,X5),
inference(forward_demodulation,[],[f1493,f1110]) ).
fof(f1849,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(X1,X0)),divide(X2,X1)) = divide(X0,inverse(divide(divide(X3,X4),divide(inverse(divide(X5,X2)),divide(divide(X4,X3),X5))))),
inference(superposition,[],[f1509,f7]) ).
fof(f1976,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(X1,X0)),divide(X2,X1)) = divide(X0,divide(divide(inverse(divide(X5,X2)),divide(divide(X4,X3),X5)),divide(X3,X4))),
inference(forward_demodulation,[],[f1849,f1023]) ).
fof(f2020,plain,
! [X2,X0,X1] : divide(inverse(divide(X1,X0)),divide(X2,X1)) = divide(X0,X2),
inference(forward_demodulation,[],[f1976,f1]) ).
fof(f2039,plain,
! [X2,X0,X1] : divide(divide(X0,X1),divide(X2,X1)) = divide(X0,X2),
inference(forward_demodulation,[],[f2020,f1023]) ).
fof(f2078,plain,
! [X2,X0,X1] : divide(X1,divide(X0,X2)) = divide(divide(X1,inverse(X2)),X0),
inference(superposition,[],[f2039,f1509]) ).
fof(f4544,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,f2078]) ).
fof(f4553,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,[],[f4544,f1540]) ).
fof(f4647,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,[],[f4553,f1023]) ).
fof(f4648,plain,
a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2)),
inference(trivial_inequality_removal,[],[f4647]) ).
fof(f4710,plain,
a2 != divide(inverse(b2),divide(inverse(a2),b2)),
inference(forward_demodulation,[],[f4648,f2078]) ).
fof(f4767,plain,
$false,
inference(forward_subsumption_resolution,[],[f4710,f1110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP072-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n013.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
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 09:17:22 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 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
% 7.64/1.94 % (4148162)Input is clausal, will run a generic CNF schedule.
% 7.64/1.94 % (4148167)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=1451432053:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.64/1.94 % (4148170)lrs+10_1_sil=8000:sp=occurrence:random_seed=1647545637:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.64/1.94 % (4148173)dis-21_1_sil=8000:lcm=predicate:random_seed=1406236659: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)
% 7.64/1.94 % (4148171)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1017065206:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.64/1.94 % (4148168)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3165247970:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.64/1.94 % (4148172)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2358188904:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.64/1.94 % (4148169)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=281530218:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.64/1.94 % (4148173)Refutation not found, incomplete strategy
% 7.64/1.94 % (4148173)------------------------------
% 7.64/1.94 % (4148173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/1.94 % (4148173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/1.94 % (4148173)CaDiCaL version: 2.1.3
% 7.64/1.94 % (4148173)Termination reason: Refutation not found, incomplete strategy
% 7.64/1.94 % (4148173)Time elapsed: 0.001 s
% 7.64/1.94 % (4148173)Peak memory usage: 88 MB
% 7.64/1.94 % (4148170)Instruction limit reached!
% 7.64/1.94 % (4148170)------------------------------
% 7.64/1.94 % (4148170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/1.94 % (4148170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/1.94 % (4148170)CaDiCaL version: 2.1.3
% 7.64/1.94 % (4148170)Termination reason: Instruction limit
% 7.64/1.94 % (4148170)Termination phase: Saturation
% 7.64/1.94 % (4148170)Time elapsed: 0.064 s
% 7.64/1.94 % (4148170)Peak memory usage: 89 MB
% 7.64/1.94 % (4148170)Instructions burned: 107 (million)
% 7.64/1.94 % (4148171)Instruction limit reached!
% 7.64/1.94 % (4148171)------------------------------
% 7.64/1.94 % (4148171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/1.94 % (4148171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/1.94 % (4148171)CaDiCaL version: 2.1.3
% 7.64/1.94 % (4148171)Termination reason: Instruction limit
% 7.64/1.94 % (4148171)Termination phase: Saturation
% 7.64/1.94 % (4148171)Time elapsed: 0.069 s
% 7.64/1.94 % (4148171)Peak memory usage: 90 MB
% 7.64/1.94 % (4148171)Instructions burned: 114 (million)
% 7.64/1.94 % (4148172)Instruction limit reached!
% 7.64/1.94 % (4148172)------------------------------
% 7.64/1.94 % (4148172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/1.94 % (4148172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/1.94 % (4148172)CaDiCaL version: 2.1.3
% 7.64/1.94 % (4148172)Termination reason: Instruction limit
% 7.64/1.94 % (4148172)Termination phase: Saturation
% 7.64/1.94 % (4148172)Time elapsed: 0.097 s
% 7.64/1.94 % (4148172)Peak memory usage: 90 MB
% 7.64/1.94 % (4148172)Instructions burned: 180 (million)
% 7.64/1.94 % (4148182)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3960467061: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)
% 7.64/1.94 % (4148182)Refutation not found, incomplete strategy
% 7.64/1.94 % (4148182)------------------------------
% 7.64/1.94 % (4148182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/1.94 % (4148182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/1.94 % (4148182)CaDiCaL version: 2.1.3
% 7.64/1.94 % (4148182)Termination reason: Refutation not found, incomplete strategy
% 7.64/1.94 % (4148182)Time elapsed: 0.001 s
% 7.64/1.94 % (4148182)Peak memory usage: 88 MB
% 7.64/1.94 % (4148181)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=2339702540:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 7.64/1.94 % (4148181)Refutation not found, incomplete strategy
% 7.64/1.94 % (4148181)------------------------------
% 7.64/1.94 % (4148181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/1.94 % (4148181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/1.94 % (4148181)CaDiCaL version: 2.1.3
% 7.64/1.94 % (4148181)Termination reason: Refutation not found, incomplete strategy
% 7.64/1.94 % (4148181)Time elapsed: 0.001 s
% 7.64/1.94 % (4148181)Peak memory usage: 88 MB
% 7.64/1.94 % (4148183)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2659791825:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.64/1.94 % (4148183)Refutation not found, incomplete strategy
% 7.64/1.94 % (4148183)------------------------------
% 7.64/1.94 % (4148183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/1.94 % (4148183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/1.94 % (4148183)CaDiCaL version: 2.1.3
% 7.64/1.94 % (4148183)Termination reason: Refutation not found, incomplete strategy
% 7.64/1.94 % (4148183)Time elapsed: 0.0000 s
% 7.64/1.94 % (4148183)Peak memory usage: 88 MB
% 7.64/1.94 % (4148173)------------------------------
% 7.64/1.94 % (4148173)------------------------------
% 7.64/1.94 % (4148183)------------------------------
% 7.64/1.94 % (4148183)------------------------------
% 7.64/1.94 % (4148187)lrs+10_64_to=lpo:sil=8000:random_seed=966575593:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 7.64/1.94 % (4148182)------------------------------
% 7.64/1.94 % (4148182)------------------------------
% 7.64/1.94 % (4148181)------------------------------
% 7.64/1.94 % (4148181)------------------------------
% 7.64/1.94 % (4148188)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1485097677:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 7.64/1.94 % (4148187)Instruction limit reached!
% 7.64/1.94 % (4148187)------------------------------
% 7.64/1.94 % (4148187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/1.94 % (4148187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/1.94 % (4148187)CaDiCaL version: 2.1.3
% 7.64/1.94 % (4148187)Termination reason: Instruction limit
% 7.64/1.94 % (4148187)Termination phase: Saturation
% 7.64/1.94 % (4148187)Time elapsed: 0.075 s
% 7.64/1.94 % (4148187)Peak memory usage: 89 MB
% 7.64/1.94 % (4148187)Instructions burned: 126 (million)
% 7.64/1.94 % (4148188)Instruction limit reached!
% 7.64/1.94 % (4148188)------------------------------
% 7.64/1.94 % (4148188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/1.94 % (4148188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/1.94 % (4148188)CaDiCaL version: 2.1.3
% 7.64/1.94 % (4148188)Termination reason: Instruction limit
% 7.64/1.94 % (4148188)Termination phase: Saturation
% 7.64/1.94 % (4148188)Time elapsed: 0.063 s
% 7.64/1.94 % (4148188)Peak memory usage: 90 MB
% 7.64/1.94 % (4148188)Instructions burned: 196 (million)
% 7.64/1.94 % (4148191)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=749180920:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 7.64/1.94 % (4148190)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=265020038:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 7.64/1.94 % (4148193)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=3078137342:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 7.64/1.94 % (4148194)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1766912274:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 7.64/1.94 % (4148194)Refutation not found, incomplete strategy
% 7.64/1.94 % (4148194)------------------------------
% 7.64/1.94 % (4148194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/1.94 % (4148194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/1.94 % (4148194)CaDiCaL version: 2.1.3
% 7.64/1.94 % (4148194)Termination reason: Refutation not found, incomplete strategy
% 7.64/1.94 % (4148194)Time elapsed: 0.0000 s
% 7.64/1.94 % (4148194)Peak memory usage: 88 MB
% 7.64/1.94 % (4148193)Instruction limit reached!
% 7.64/1.94 % (4148193)------------------------------
% 7.64/1.94 % (4148193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/1.94 % (4148193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/1.94 % (4148193)CaDiCaL version: 2.1.3
% 7.64/1.94 % (4148193)Termination reason: Instruction limit
% 7.64/1.94 % (4148193)Termination phase: Saturation
% 7.64/1.94 % (4148193)Time elapsed: 0.067 s
% 7.64/1.94 % (4148193)Peak memory usage: 90 MB
% 7.64/1.94 % (4148193)Instructions burned: 107 (million)
% 7.64/1.94 % (4148190)Instruction limit reached!
% 7.64/1.94 % (4148190)------------------------------
% 7.64/1.94 % (4148190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/1.94 % (4148190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/1.94 % (4148190)CaDiCaL version: 2.1.3
% 7.64/1.94 % (4148190)Termination reason: Instruction limit
% 7.64/1.94 % (4148190)Termination phase: Saturation
% 7.64/1.94 % (4148190)Time elapsed: 0.090 s
% 7.64/1.94 % (4148190)Peak memory usage: 93 MB
% 7.64/1.94 % (4148190)Instructions burned: 158 (million)
% 7.64/1.94 % (4148194)------------------------------
% 7.64/1.94 % (4148194)------------------------------
% 7.64/1.94 % (4148199)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1686264721:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 7.64/1.94 % (4148200)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2689822381:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 7.64/1.94 % (4148201)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=4047534615:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 7.64/1.94 % (4148199)Instruction limit reached!
% 7.64/1.94 % (4148199)------------------------------
% 7.64/1.94 % (4148199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/1.94 % (4148199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/1.94 % (4148199)CaDiCaL version: 2.1.3
% 7.64/1.94 % (4148199)Termination reason: Instruction limit
% 7.64/1.94 % (4148199)Termination phase: Saturation
% 7.64/1.94 % (4148199)Time elapsed: 0.133 s
% 7.64/1.94 % (4148199)Peak memory usage: 92 MB
% 7.64/1.94 % (4148199)Instructions burned: 243 (million)
% 7.64/1.94 % (4148168)First to succeed.
% 7.64/1.94 % (4148168)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4148162"
% 7.64/1.94 % (4148201)Instruction limit reached!
% 7.64/1.94 % (4148201)------------------------------
% 7.64/1.94 % (4148201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/1.94 % (4148201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/1.94 % (4148201)CaDiCaL version: 2.1.3
% 7.64/1.94 % (4148201)Termination reason: Instruction limit
% 7.64/1.94 % (4148201)Termination phase: Saturation
% 7.64/1.94 % (4148201)Time elapsed: 0.069 s
% 7.64/1.94 % (4148201)Peak memory usage: 91 MB
% 7.64/1.94 % (4148201)Instructions burned: 135 (million)
% 7.64/1.94 % (4148205)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3712903139:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 7.64/1.94 % (4148206)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3180880303:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 7.64/1.94 % (4148168)Refutation found. Thanks to Tanya!
% 7.64/1.94 % SZS status Unsatisfiable for theBenchmark
% 7.64/1.94 % SZS output start Proof for theBenchmark
% See solution above
% 7.64/2.04 % (4148168)------------------------------
% 7.64/2.04 % (4148168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/2.04 % (4148168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/2.04 % (4148168)CaDiCaL version: 2.1.3
% 7.64/2.04 % (4148168)Termination reason: Refutation
% 7.64/2.04 % (4148168)Time elapsed: 0.918 s
% 7.64/2.04 % (4148168)Peak memory usage: 133 MB
% 7.64/2.04 % (4148168)Instructions burned: 1465 (million)
% 7.64/2.04 % (4148168)------------------------------
% 7.64/2.04 % (4148168)------------------------------
% 7.64/2.04 % (4148162)Success in time 1.316 s
% 7.64/2.04 % Vampire exiting
%------------------------------------------------------------------------------