%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL105-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 11:51:12 AM UTC 2026
% Result : Unsatisfiable 15.98s 3.27s
% Output : Refutation 15.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 29 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 14 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 81 ( 81 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_1) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_2) ).
fof(f4,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),X2)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_3) ).
fof(f5,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(b,c)),e),e)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lg_2) ).
fof(f6,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(equivalent(X3,X1),equivalent(X3,X2))))),
inference(unit_resulting_resolution,[],[f1,f3,f3]) ).
fof(f17,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X3))),equivalent(X0,X3))),
inference(unit_resulting_resolution,[],[f1,f3,f4]) ).
fof(f28,plain,
! [X0,X1] : ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(b,c)),e),equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),e)))),
inference(unit_resulting_resolution,[],[f1,f5,f17]) ).
fof(f29,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2))),
inference(unit_resulting_resolution,[],[f1,f6,f17]) ).
fof(f35,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X2),X4)))),equivalent(X0,equivalent(X1,X4)))),
inference(unit_resulting_resolution,[],[f1,f3,f17]) ).
fof(f45,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3))),equivalent(X0,equivalent(X2,X3)))),
inference(unit_resulting_resolution,[],[f1,f3,f29]) ).
fof(f49,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X1,X3)),equivalent(X2,equivalent(X0,X3)))),
inference(unit_resulting_resolution,[],[f1,f6,f45]) ).
fof(f98,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X2),X1))))),
inference(unit_resulting_resolution,[],[f1,f3,f2]) ).
fof(f101,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X1,equivalent(X3,X2)),X0))))),
inference(unit_resulting_resolution,[],[f1,f49,f2]) ).
fof(f289,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(X2,equivalent(equivalent(X1,X0),X3)))),
inference(unit_resulting_resolution,[],[f1,f45,f98]) ).
fof(f372,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(X2,X1),X0),X3))),
inference(unit_resulting_resolution,[],[f1,f3,f35]) ).
fof(f872,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,X3),X4))),equivalent(X0,equivalent(equivalent(equivalent(X3,X2),X1),X4)))),
inference(unit_resulting_resolution,[],[f1,f3,f372]) ).
fof(f1001,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(equivalent(X1,X3),X0),equivalent(X3,X2)))),
inference(unit_resulting_resolution,[],[f1,f6,f872]) ).
fof(f1097,plain,
~ is_a_theorem(equivalent(e,equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(equivalent(c,b),e)))),
inference(unit_resulting_resolution,[],[f1,f28,f1001]) ).
fof(f1106,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X3,equivalent(equivalent(X1,X4),X0)),equivalent(X3,equivalent(X4,X2))))),
inference(unit_resulting_resolution,[],[f1,f6,f1001]) ).
fof(f1155,plain,
~ is_a_theorem(equivalent(e,equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(equivalent(c,b),e))))),
inference(unit_resulting_resolution,[],[f1,f872,f1097]) ).
fof(f3024,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(c,a),e),equivalent(equivalent(b,a),equivalent(equivalent(c,b),e)))),
inference(unit_resulting_resolution,[],[f1,f289,f1155]) ).
fof(f3876,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,a),e)),equivalent(equivalent(c,b),e))),
inference(unit_resulting_resolution,[],[f1,f289,f3024]) ).
fof(f4531,plain,
! [X0,X1] : ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,a),e)),equivalent(equivalent(c,b),equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),e))))),
inference(unit_resulting_resolution,[],[f1,f35,f3876]) ).
fof(f4809,plain,
! [X0,X1] : ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(a,b),equivalent(equivalent(c,a),e))),equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),e)))),
inference(unit_resulting_resolution,[],[f1,f289,f4531]) ).
fof(f5461,plain,
! [X2,X0,X1] : ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(a,b),equivalent(equivalent(c,a),e))),equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X0,equivalent(X2,X1)),e))))),
inference(unit_resulting_resolution,[],[f1,f872,f4809]) ).
fof(f5557,plain,
! [X0,X1] : ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,a),e)),equivalent(b,equivalent(equivalent(X0,X1),equivalent(equivalent(c,equivalent(X1,X0)),e))))),
inference(unit_resulting_resolution,[],[f1,f1001,f5461]) ).
fof(f6027,plain,
! [X2,X0,X1] : ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,a),e)),equivalent(equivalent(X0,b),equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(c,equivalent(X2,X1)),e)))))),
inference(unit_resulting_resolution,[],[f1,f45,f5557]) ).
fof(f6109,plain,
! [X0,X1] : ~ is_a_theorem(equivalent(e,equivalent(c,equivalent(equivalent(X0,X1),equivalent(equivalent(c,equivalent(X1,X0)),e))))),
inference(unit_resulting_resolution,[],[f1,f1106,f6027]) ).
fof(f6139,plain,
$false,
inference(forward_subsumption_resolution,[],[f6109,f101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL105-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n009.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 15:22:00 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.44 Running first-order theorem proving
% 0.15/0.44 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
% 12.21/2.60 % (2162890)Input is clausal, will run a generic CNF schedule.
% 12.21/2.60 % (2162942)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=3946999348:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 12.21/2.60 % (2162948)lrs+10_1_sil=8000:sp=occurrence:random_seed=2883499112:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 12.21/2.60 % (2162951)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1866913674:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 12.21/2.60 % (2162944)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2575306996:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 12.21/2.60 % (2162946)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2385498623:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 12.21/2.60 % (2162953)dis-21_1_sil=8000:lcm=predicate:random_seed=746319082: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)
% 12.21/2.60 % (2162949)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=413341237:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 12.21/2.60 % (2162948)Instruction limit reached!
% 12.21/2.60 % (2162948)------------------------------
% 12.21/2.60 % (2162948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.60 % (2162948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.60 % (2162948)CaDiCaL version: 2.1.3
% 12.21/2.60 % (2162948)Termination reason: Instruction limit
% 12.21/2.60 % (2162948)Termination phase: Saturation
% 12.21/2.60 % (2162948)Time elapsed: 0.069 s
% 12.21/2.60 % (2162948)Peak memory usage: 88 MB
% 12.21/2.60 % (2162948)Instructions burned: 108 (million)
% 12.21/2.60 % (2162953)Instruction limit reached!
% 12.21/2.60 % (2162953)------------------------------
% 12.21/2.60 % (2162953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.60 % (2162953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.60 % (2162953)CaDiCaL version: 2.1.3
% 12.21/2.60 % (2162953)Termination reason: Instruction limit
% 12.21/2.60 % (2162953)Termination phase: Saturation
% 12.21/2.60 % (2162953)Time elapsed: 0.076 s
% 12.21/2.60 % (2162953)Peak memory usage: 88 MB
% 12.21/2.60 % (2162953)Instructions burned: 118 (million)
% 12.21/2.60 % (2162949)Instruction limit reached!
% 12.21/2.60 % (2162949)------------------------------
% 12.21/2.60 % (2162949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.60 % (2162949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.60 % (2162949)CaDiCaL version: 2.1.3
% 12.21/2.60 % (2162949)Termination reason: Instruction limit
% 12.21/2.60 % (2162949)Termination phase: Saturation
% 12.21/2.60 % (2162949)Time elapsed: 0.070 s
% 12.21/2.60 % (2162949)Peak memory usage: 88 MB
% 12.21/2.60 % (2162949)Instructions burned: 115 (million)
% 12.21/2.60 % (2162951)Instruction limit reached!
% 12.21/2.60 % (2162951)------------------------------
% 12.21/2.60 % (2162951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.60 % (2162951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.60 % (2162951)CaDiCaL version: 2.1.3
% 12.21/2.60 % (2162951)Termination reason: Instruction limit
% 12.21/2.60 % (2162951)Termination phase: Saturation
% 12.21/2.60 % (2162951)Time elapsed: 0.119 s
% 12.21/2.60 % (2162951)Peak memory usage: 89 MB
% 12.21/2.60 % (2162951)Instructions burned: 181 (million)
% 12.21/2.60 % (2163024)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=230654175:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 12.21/2.60 % (2163024)Refutation not found, incomplete strategy
% 12.21/2.60 % (2163024)------------------------------
% 12.21/2.60 % (2163024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.60 % (2163024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.60 % (2163024)CaDiCaL version: 2.1.3
% 12.21/2.60 % (2163024)Termination reason: Refutation not found, incomplete strategy
% 12.21/2.60 % (2163024)Time elapsed: 0.001 s
% 12.21/2.60 % (2163024)Peak memory usage: 87 MB
% 12.21/2.60 % (2163037)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3511546733:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 15.52/3.08 % (2163035)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1486989067: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)
% 15.52/3.08 % (2163037)Refutation not found, incomplete strategy
% 15.52/3.08 % (2163037)------------------------------
% 15.52/3.08 % (2163037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/3.08 % (2163037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/3.08 % (2163037)CaDiCaL version: 2.1.3
% 15.52/3.08 % (2163037)Termination reason: Refutation not found, incomplete strategy
% 15.52/3.08 % (2163037)Time elapsed: 0.001 s
% 15.52/3.08 % (2163037)Peak memory usage: 87 MB
% 15.52/3.08 % (2163058)lrs+10_64_to=lpo:sil=8000:random_seed=402991088:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 15.52/3.08 % (2163035)Instruction limit reached!
% 15.52/3.08 % (2163035)------------------------------
% 15.52/3.08 % (2163035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/3.08 % (2163035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/3.08 % (2163035)CaDiCaL version: 2.1.3
% 15.52/3.08 % (2163035)Termination reason: Instruction limit
% 15.52/3.08 % (2163035)Termination phase: Saturation
% 15.52/3.08 % (2163035)Time elapsed: 0.110 s
% 15.52/3.08 % (2163035)Peak memory usage: 89 MB
% 15.52/3.08 % (2163035)Instructions burned: 191 (million)
% 15.52/3.08 % (2163058)Instruction limit reached!
% 15.52/3.08 % (2163058)------------------------------
% 15.52/3.08 % (2163058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/3.08 % (2163058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/3.08 % (2163058)CaDiCaL version: 2.1.3
% 15.52/3.08 % (2163058)Termination reason: Instruction limit
% 15.52/3.08 % (2163058)Termination phase: Saturation
% 15.52/3.08 % (2163058)Time elapsed: 0.084 s
% 15.52/3.08 % (2163058)Peak memory usage: 88 MB
% 15.52/3.08 % (2163058)Instructions burned: 127 (million)
% 15.52/3.08 % (2163037)------------------------------
% 15.52/3.08 % (2163037)------------------------------
% 15.52/3.08 % (2163024)------------------------------
% 15.52/3.08 % (2163024)------------------------------
% 15.52/3.08 % (2163070)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1281461785:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 15.52/3.08 % (2163071)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1838195518:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 15.52/3.08 % (2163072)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=113873189:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 15.52/3.08 % (2163071)Instruction limit reached!
% 15.52/3.08 % (2163071)------------------------------
% 15.52/3.08 % (2163071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/3.08 % (2163071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/3.08 % (2163071)CaDiCaL version: 2.1.3
% 15.52/3.08 % (2163071)Termination reason: Instruction limit
% 15.52/3.08 % (2163071)Termination phase: Saturation
% 15.52/3.08 % (2163071)Time elapsed: 0.097 s
% 15.52/3.08 % (2163071)Peak memory usage: 91 MB
% 15.52/3.08 % (2163071)Instructions burned: 158 (million)
% 15.52/3.08 % (2163070)Instruction limit reached!
% 15.52/3.08 % (2163070)------------------------------
% 15.52/3.08 % (2163070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/3.08 % (2163070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/3.08 % (2163070)CaDiCaL version: 2.1.3
% 15.52/3.08 % (2163070)Termination reason: Instruction limit
% 15.52/3.08 % (2163070)Termination phase: Saturation
% 15.52/3.08 % (2163070)Time elapsed: 0.125 s
% 15.52/3.08 % (2163070)Peak memory usage: 89 MB
% 15.52/3.08 % (2163070)Instructions burned: 195 (million)
% 15.52/3.08 % (2163073)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=3542830338:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 15.52/3.08 % (2163073)Instruction limit reached!
% 15.52/3.08 % (2163073)------------------------------
% 15.52/3.08 % (2163073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/3.08 % (2163073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/3.08 % (2163073)CaDiCaL version: 2.1.3
% 15.52/3.08 % (2163073)Termination reason: Instruction limit
% 15.52/3.08 % (2163073)Termination phase: Saturation
% 15.52/3.08 % (2163073)Time elapsed: 0.054 s
% 15.52/3.08 % (2163073)Peak memory usage: 88 MB
% 15.52/3.08 % (2163073)Instructions burned: 107 (million)
% 15.52/3.08 % (2163077)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1472274214:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 15.52/3.08 % (2163077)Refutation not found, incomplete strategy
% 15.52/3.08 % (2163077)------------------------------
% 15.52/3.08 % (2163077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/3.08 % (2163077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/3.08 % (2163077)CaDiCaL version: 2.1.3
% 15.52/3.08 % (2163077)Termination reason: Refutation not found, incomplete strategy
% 15.52/3.08 % (2163077)Time elapsed: 0.001 s
% 15.52/3.08 % (2163077)Peak memory usage: 87 MB
% 15.52/3.08 % (2163079)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3517290440:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 15.52/3.08 % (2163080)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=940412992:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 15.52/3.08 % (2163079)Instruction limit reached!
% 15.52/3.08 % (2163079)------------------------------
% 15.52/3.08 % (2163079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/3.08 % (2163079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/3.08 % (2163079)CaDiCaL version: 2.1.3
% 15.52/3.08 % (2163079)Termination reason: Instruction limit
% 15.52/3.08 % (2163079)Termination phase: Saturation
% 15.52/3.08 % (2163079)Time elapsed: 0.118 s
% 15.52/3.08 % (2163079)Peak memory usage: 90 MB
% 15.52/3.08 % (2163079)Instructions burned: 243 (million)
% 15.52/3.08 % (2163077)------------------------------
% 15.52/3.08 % (2163077)------------------------------
% 15.52/3.08 % (2163084)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=4199935176:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 15.52/3.08 % (2163084)Instruction limit reached!
% 15.52/3.08 % (2163084)------------------------------
% 15.52/3.08 % (2163084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/3.08 % (2163084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/3.08 % (2163084)CaDiCaL version: 2.1.3
% 15.52/3.08 % (2163084)Termination reason: Instruction limit
% 15.52/3.08 % (2163084)Termination phase: Saturation
% 15.52/3.08 % (2163084)Time elapsed: 0.085 s
% 15.52/3.08 % (2163084)Peak memory usage: 89 MB
% 15.52/3.08 % (2163084)Instructions burned: 135 (million)
% 15.52/3.08 % (2163086)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1218620815:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 15.52/3.08 % (2163088)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2472034983:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 15.52/3.08 % (2163088)Instruction limit reached!
% 15.52/3.08 % (2163088)------------------------------
% 15.52/3.08 % (2163088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/3.08 % (2163088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/3.08 % (2163088)CaDiCaL version: 2.1.3
% 15.52/3.08 % (2163088)Termination reason: Instruction limit
% 15.52/3.08 % (2163088)Termination phase: Saturation
% 15.52/3.08 % (2163088)Time elapsed: 0.127 s
% 15.52/3.08 % (2163088)Peak memory usage: 89 MB
% 15.52/3.08 % (2163088)Instructions burned: 192 (million)
% 15.52/3.08 % (2163086)Instruction limit reached!
% 15.52/3.08 % (2163086)------------------------------
% 15.52/3.08 % (2163086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/3.08 % (2163086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/3.08 % (2163086)CaDiCaL version: 2.1.3
% 15.52/3.08 % (2163086)Termination reason: Instruction limit
% 15.52/3.08 % (2163086)Termination phase: Saturation
% 15.52/3.08 % (2163086)Time elapsed: 0.276 s
% 15.52/3.08 % (2163086)Peak memory usage: 91 MB
% 15.52/3.08 % (2163086)Instructions burned: 499 (million)
% 15.52/3.08 % (2163091)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1330179555:i=264:kws=precedence:fsr=off_2984 on theBenchmark for (2984ds/264Mi)
% 15.98/3.27 % (2163092)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=471896533:cond=on:i=156:bs=on:gtg=exists_all:er=known_2984 on theBenchmark for (2984ds/156Mi)
% 15.98/3.27 % (2163092)Instruction limit reached!
% 15.98/3.27 % (2163092)------------------------------
% 15.98/3.27 % (2163092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.98/3.27 % (2163092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/3.27 % (2163092)CaDiCaL version: 2.1.3
% 15.98/3.27 % (2163092)Termination reason: Instruction limit
% 15.98/3.27 % (2163092)Termination phase: Saturation
% 15.98/3.27 % (2163092)Time elapsed: 0.084 s
% 15.98/3.27 % (2163092)Peak memory usage: 88 MB
% 15.98/3.27 % (2163092)Instructions burned: 157 (million)
% 15.98/3.27 % (2162944)First to succeed.
% 15.98/3.27 % (2163072)Instruction limit reached!
% 15.98/3.27 % (2163072)------------------------------
% 15.98/3.27 % (2163072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.98/3.27 % (2163072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/3.27 % (2163072)CaDiCaL version: 2.1.3
% 15.98/3.27 % (2163072)Termination reason: Instruction limit
% 15.98/3.27 % (2163072)Termination phase: Saturation
% 15.98/3.27 % (2163072)Time elapsed: 1.218 s
% 15.98/3.27 % (2163072)Peak memory usage: 148 MB
% 15.98/3.27 % (2163072)Instructions burned: 3397 (million)
% 15.98/3.27 % (2162944)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2162890"
% 15.98/3.27 % (2163091)Instruction limit reached!
% 15.98/3.27 % (2163091)------------------------------
% 15.98/3.27 % (2163091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.98/3.27 % (2163091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/3.27 % (2163091)CaDiCaL version: 2.1.3
% 15.98/3.27 % (2163091)Termination reason: Instruction limit
% 15.98/3.27 % (2163091)Termination phase: Saturation
% 15.98/3.27 % (2163091)Time elapsed: 0.174 s
% 15.98/3.27 % (2163091)Peak memory usage: 90 MB
% 15.98/3.27 % (2163091)Instructions burned: 265 (million)
% 15.98/3.27 % (2163095)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=3433610040:i=3256:kws=precedence:bd=preordered:av=off_2981 on theBenchmark for (2981ds/3256Mi)
% 15.98/3.27 % (2163097)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=3086702106:i=180:bd=preordered:av=off_2981 on theBenchmark for (2981ds/180Mi)
% 15.98/3.27 % (2163096)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=4193767603:i=537:av=off:ss=included_2981 on theBenchmark for (2981ds/537Mi)
% 15.98/3.27 % (2163097)Instruction limit reached!
% 15.98/3.27 % (2163097)------------------------------
% 15.98/3.27 % (2163097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.98/3.27 % (2163097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/3.27 % (2163097)CaDiCaL version: 2.1.3
% 15.98/3.27 % (2163097)Termination reason: Instruction limit
% 15.98/3.27 % (2163097)Termination phase: Saturation
% 15.98/3.27 % (2163097)Time elapsed: 0.057 s
% 15.98/3.27 % (2163097)Peak memory usage: 88 MB
% 15.98/3.27 % (2163097)Instructions burned: 184 (million)
% 15.98/3.27 % (2162944)Refutation found. Thanks to Tanya!
% 15.98/3.27 % SZS status Unsatisfiable for theBenchmark
% 15.98/3.27 % SZS output start Proof for theBenchmark
% See solution above
% 15.98/3.27 % (2162944)------------------------------
% 15.98/3.27 % (2162944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.98/3.27 % (2162944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/3.27 % (2162944)CaDiCaL version: 2.1.3
% 15.98/3.27 % (2162944)Termination reason: Refutation
% 15.98/3.27 % (2162944)Time elapsed: 1.721 s
% 15.98/3.27 % (2162944)Peak memory usage: 145 MB
% 15.98/3.27 % (2162944)Instructions burned: 2939 (million)
% 15.98/3.27 % (2162944)------------------------------
% 15.98/3.27 % (2162944)------------------------------
% 15.98/3.27 % (2162890)Success in time 2.188 s
% 15.98/3.27 % Vampire exiting
%------------------------------------------------------------------------------