%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL116-1 : 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 : n020.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 11:51:16 AM UTC 2026
% Result : Unsatisfiable 10.04s 2.65s
% Output : Refutation 11.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 11
% Syntax : Number of formulae : 67 ( 43 unt; 5 def)
% Number of atoms : 99 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 66 ( 34 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 136 ( 136 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_1) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_3) ).
fof(f5,axiom,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_5) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(not(a),implies(b,not(implies(b,a))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_mv_50) ).
fof(f7,definition,
sF0 = not(a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f8,plain,
not(a) = sF0,
inference(reorient_equations,[],[f7]) ).
fof(f9,definition,
sF1 = implies(b,a),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f10,plain,
implies(b,a) = sF1,
inference(reorient_equations,[],[f9]) ).
fof(f11,definition,
sF2 = not(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f12,plain,
not(sF1) = sF2,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF3 = implies(b,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f14,plain,
implies(b,sF2) = sF3,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF4 = implies(sF0,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f16,plain,
implies(sF0,sF3) = sF4,
inference(reorient_equations,[],[f15]) ).
fof(f17,plain,
~ is_a_theorem(sF4),
inference(definition_folding,[],[f6,f16,f14,f12,f10,f8]) ).
fof(f36,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f3,f1]) ).
fof(f57,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X1))
| is_a_theorem(implies(implies(X1,X0),X0)) ),
inference(resolution,[],[f4,f1]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f36,f1]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X2)))
| is_a_theorem(implies(X0,implies(implies(X2,X1),X1))) ),
inference(resolution,[],[f64,f4]) ).
fof(f74,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),not(X2))))
| is_a_theorem(implies(X0,implies(X2,X1))) ),
inference(resolution,[],[f64,f5]) ).
fof(f75,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(resolution,[],[f64,f36]) ).
fof(f91,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[],[f74,f2]) ).
fof(f98,plain,
! [X0,X1] : is_a_theorem(implies(not(not(X0)),implies(X1,X0))),
inference(resolution,[],[f91,f74]) ).
fof(f120,plain,
! [X0,X1] : is_a_theorem(implies(not(not(X0)),implies(implies(X0,X1),X1))),
inference(resolution,[],[f73,f98]) ).
fof(f132,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X1),X1),implies(X2,X0)))
| ~ is_a_theorem(implies(X2,implies(X1,X0))) ),
inference(resolution,[],[f75,f4]) ).
fof(f144,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,implies(implies(X2,X1),X1)))
| ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X3,implies(X0,X2))) ),
inference(resolution,[],[f132,f64]) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X1,implies(X0,X2))) ),
inference(resolution,[],[f144,f2]) ).
fof(f163,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(resolution,[],[f152,f2]) ).
fof(f164,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(resolution,[],[f152,f3]) ).
fof(f171,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(not(X1)),X1))),
inference(resolution,[],[f152,f98]) ).
fof(f175,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,not(not(X1))))),
inference(resolution,[],[f171,f74]) ).
fof(f217,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,not(not(X0))))),
inference(resolution,[],[f175,f152]) ).
fof(f242,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(not(not(X0)),X1),X1))),
inference(resolution,[],[f217,f73]) ).
fof(f251,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(not(X0)),X1),implies(X0,X1))),
inference(resolution,[],[f242,f152]) ).
fof(f263,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(not(X0)),X1))),
inference(resolution,[],[f120,f152]) ).
fof(f325,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),X1)),
inference(resolution,[],[f57,f163]) ).
fof(f492,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X0),implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f164,f1]) ).
fof(f558,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(not(X1)),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f251,f64]) ).
fof(f600,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(implies(not(not(X2)),X0)) ),
inference(resolution,[],[f558,f36]) ).
fof(f622,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(not(not(X0)),X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f600,f1]) ).
fof(f634,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f622,f98]) ).
fof(f668,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(resolution,[],[f634,f2]) ).
fof(f712,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X0),X2),X2))),
inference(resolution,[],[f668,f73]) ).
fof(f964,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[],[f712,f152]) ).
fof(f986,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X3)))
| is_a_theorem(implies(X0,implies(X2,X3))) ),
inference(resolution,[],[f964,f64]) ).
fof(f1022,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X2),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f986,f36]) ).
fof(f1059,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(resolution,[],[f1022,f4]) ).
fof(f1096,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X2),X3)))
| is_a_theorem(implies(X0,implies(X1,X3))) ),
inference(resolution,[],[f1059,f64]) ).
fof(f1359,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X3)))
| ~ is_a_theorem(implies(X2,X3)) ),
inference(resolution,[],[f1096,f492]) ).
fof(f2196,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X2,X3),X3),X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X2,X1)) ),
inference(resolution,[],[f1359,f1]) ).
fof(f2210,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),X2),X3))
| is_a_theorem(implies(X0,X3))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f2196,f492]) ).
fof(f2272,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(implies(X1,X3))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f2210,f1359]) ).
fof(f2337,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X1),X2)))
| is_a_theorem(implies(implies(X3,X0),implies(X3,X2))) ),
inference(resolution,[],[f2272,f325]) ).
fof(f2426,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,not(not(X1))))),
inference(resolution,[],[f2337,f217]) ).
fof(f2489,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(not(X1),X0))),
inference(resolution,[],[f2426,f74]) ).
fof(f2524,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X2)))
| is_a_theorem(implies(X0,implies(not(X2),X1))) ),
inference(resolution,[],[f2489,f64]) ).
fof(f2546,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(X1),not(X0)))),
inference(resolution,[],[f2524,f263]) ).
fof(f2613,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(implies(X1,X0),not(X1)))),
inference(resolution,[],[f2546,f152]) ).
fof(f2632,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X1,not(implies(X1,X0))))),
inference(resolution,[],[f2613,f1096]) ).
fof(f2668,plain,
is_a_theorem(implies(not(a),implies(b,not(sF1)))),
inference(superposition,[],[f2632,f10]) ).
fof(f2670,plain,
is_a_theorem(implies(not(a),implies(b,sF2))),
inference(forward_demodulation,[],[f2668,f12]) ).
fof(f2671,plain,
is_a_theorem(implies(not(a),sF3)),
inference(forward_demodulation,[],[f2670,f14]) ).
fof(f2672,plain,
is_a_theorem(implies(sF0,sF3)),
inference(forward_demodulation,[],[f2671,f8]) ).
fof(f2673,plain,
is_a_theorem(sF4),
inference(forward_demodulation,[],[f2672,f16]) ).
fof(f2674,plain,
$false,
inference(forward_subsumption_resolution,[],[f2673,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL116-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n020.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 15:23:34 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 10.04/2.65 % (3527257)Input is clausal, will run a generic CNF schedule.
% 10.04/2.65 % (3527262)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=4196773555:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.04/2.65 % (3527263)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1027797170:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.04/2.65 % (3527265)lrs+10_1_sil=8000:sp=occurrence:random_seed=2764986061:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.04/2.65 % (3527264)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2098905730:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.04/2.65 % (3527266)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1281127439:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.04/2.65 % (3527268)dis-21_1_sil=8000:lcm=predicate:random_seed=2503656713: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)
% 10.04/2.65 % (3527267)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1049434560:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.04/2.65 % (3527265)Instruction limit reached!
% 10.04/2.65 % (3527265)------------------------------
% 10.04/2.65 % (3527265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.04/2.65 % (3527265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.04/2.65 % (3527265)CaDiCaL version: 2.1.3
% 10.04/2.65 % (3527265)Termination reason: Instruction limit
% 10.04/2.65 % (3527265)Termination phase: Saturation
% 10.04/2.65 % (3527265)Time elapsed: 0.109 s
% 10.04/2.65 % (3527265)Peak memory usage: 88 MB
% 10.04/2.65 % (3527265)Instructions burned: 107 (million)
% 10.04/2.65 % (3527268)Instruction limit reached!
% 10.04/2.65 % (3527268)------------------------------
% 10.04/2.65 % (3527268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.04/2.65 % (3527268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.04/2.65 % (3527268)CaDiCaL version: 2.1.3
% 10.04/2.65 % (3527268)Termination reason: Instruction limit
% 10.04/2.65 % (3527268)Termination phase: Saturation
% 10.04/2.65 % (3527268)Time elapsed: 0.114 s
% 10.04/2.65 % (3527268)Peak memory usage: 88 MB
% 10.04/2.65 % (3527268)Instructions burned: 118 (million)
% 10.04/2.65 % (3527266)Instruction limit reached!
% 10.04/2.65 % (3527266)------------------------------
% 10.04/2.65 % (3527266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.04/2.65 % (3527266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.04/2.65 % (3527266)CaDiCaL version: 2.1.3
% 10.04/2.65 % (3527266)Termination reason: Instruction limit
% 10.04/2.65 % (3527266)Termination phase: Saturation
% 10.04/2.65 % (3527266)Time elapsed: 0.114 s
% 10.04/2.65 % (3527266)Peak memory usage: 88 MB
% 10.04/2.65 % (3527266)Instructions burned: 114 (million)
% 10.04/2.65 % (3527267)Instruction limit reached!
% 10.04/2.65 % (3527267)------------------------------
% 10.04/2.65 % (3527267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.04/2.65 % (3527267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.04/2.65 % (3527267)CaDiCaL version: 2.1.3
% 10.04/2.65 % (3527267)Termination reason: Instruction limit
% 10.04/2.65 % (3527267)Termination phase: Saturation
% 10.04/2.65 % (3527267)Time elapsed: 0.191 s
% 10.04/2.65 % (3527267)Peak memory usage: 89 MB
% 10.04/2.65 % (3527267)Instructions burned: 181 (million)
% 10.04/2.65 % (3527276)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=1227390493:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 10.04/2.65 % (3527276)Refutation not found, incomplete strategy
% 10.04/2.65 % (3527276)------------------------------
% 10.04/2.65 % (3527276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.04/2.65 % (3527276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.04/2.65 % (3527276)CaDiCaL version: 2.1.3
% 10.04/2.65 % (3527276)Termination reason: Refutation not found, incomplete strategy
% 10.04/2.65 % (3527276)Time elapsed: 0.002 s
% 10.04/2.65 % (3527276)Peak memory usage: 87 MB
% 10.04/2.65 % (3527277)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=622346048:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 10.04/2.65 % (3527278)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=801456192:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 10.04/2.65 % (3527278)Refutation not found, incomplete strategy
% 10.04/2.65 % (3527278)------------------------------
% 10.04/2.65 % (3527278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.04/2.65 % (3527278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.04/2.65 % (3527278)CaDiCaL version: 2.1.3
% 10.04/2.65 % (3527278)Termination reason: Refutation not found, incomplete strategy
% 10.04/2.65 % (3527278)Time elapsed: 0.001 s
% 10.04/2.65 % (3527278)Peak memory usage: 87 MB
% 10.04/2.65 % (3527279)lrs+10_64_to=lpo:sil=8000:random_seed=3997108613:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 10.04/2.65 % (3527277)Instruction limit reached!
% 10.04/2.65 % (3527277)------------------------------
% 10.04/2.65 % (3527277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.04/2.65 % (3527277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.04/2.65 % (3527277)CaDiCaL version: 2.1.3
% 10.04/2.65 % (3527277)Termination reason: Instruction limit
% 10.04/2.65 % (3527277)Termination phase: Saturation
% 10.04/2.65 % (3527277)Time elapsed: 0.181 s
% 10.04/2.65 % (3527277)Peak memory usage: 90 MB
% 10.04/2.65 % (3527277)Instructions burned: 189 (million)
% 10.04/2.65 % (3527279)Instruction limit reached!
% 10.04/2.65 % (3527279)------------------------------
% 10.04/2.65 % (3527279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.04/2.65 % (3527279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.04/2.65 % (3527279)CaDiCaL version: 2.1.3
% 10.04/2.65 % (3527279)Termination reason: Instruction limit
% 10.04/2.65 % (3527279)Termination phase: Saturation
% 10.04/2.65 % (3527279)Time elapsed: 0.129 s
% 10.04/2.65 % (3527279)Peak memory usage: 89 MB
% 10.04/2.65 % (3527279)Instructions burned: 127 (million)
% 10.04/2.65 % (3527276)------------------------------
% 10.04/2.65 % (3527276)------------------------------
% 10.04/2.65 % (3527278)------------------------------
% 10.04/2.65 % (3527278)------------------------------
% 10.04/2.65 % (3527284)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2818369545:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 10.04/2.65 % (3527262)First to succeed.
% 10.04/2.65 % (3527262)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3527257"
% 10.04/2.65 % (3527285)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4093970852:i=157:gtg=all_2990 on theBenchmark for (2990ds/157Mi)
% 10.04/2.65 % (3527286)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3223598332:i=3394:sd=4:ss=included:sgt=64_2989 on theBenchmark for (2989ds/3394Mi)
% 10.04/2.65 % (3527285)Instruction limit reached!
% 10.04/2.65 % (3527285)------------------------------
% 10.04/2.65 % (3527285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.04/2.65 % (3527285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.04/2.65 % (3527285)CaDiCaL version: 2.1.3
% 10.04/2.65 % (3527285)Termination reason: Instruction limit
% 10.04/2.65 % (3527285)Termination phase: Saturation
% 10.04/2.65 % (3527285)Time elapsed: 0.169 s
% 10.04/2.65 % (3527285)Peak memory usage: 90 MB
% 10.04/2.65 % (3527285)Instructions burned: 157 (million)
% 10.04/2.65 % (3527284)Instruction limit reached!
% 10.04/2.65 % (3527284)------------------------------
% 10.04/2.65 % (3527284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.04/2.65 % (3527284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.04/2.65 % (3527284)CaDiCaL version: 2.1.3
% 10.04/2.65 % (3527284)Termination reason: Instruction limit
% 10.04/2.65 % (3527284)Termination phase: Saturation
% 10.04/2.65 % (3527284)Time elapsed: 0.221 s
% 10.04/2.65 % (3527284)Peak memory usage: 89 MB
% 10.04/2.65 % (3527284)Instructions burned: 196 (million)
% 10.04/2.65 % (3527287)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=3109257372:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2988 on theBenchmark for (2988ds/106Mi)
% 10.04/2.65 % (3527262)Refutation found. Thanks to Tanya!
% 10.04/2.65 % SZS status Unsatisfiable for theBenchmark
% 10.04/2.65 % SZS output start Proof for theBenchmark
% See solution above
% 11.29/3.00 % (3527262)------------------------------
% 11.29/3.00 % (3527262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.29/3.00 % (3527262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.29/3.00 % (3527262)CaDiCaL version: 2.1.3
% 11.29/3.00 % (3527262)Termination reason: Refutation
% 11.29/3.00 % (3527262)Time elapsed: 0.986 s
% 11.29/3.00 % (3527262)Peak memory usage: 135 MB
% 11.29/3.00 % (3527262)Instructions burned: 1648 (million)
% 11.29/3.00 % (3527262)------------------------------
% 11.29/3.00 % (3527262)------------------------------
% 11.29/3.00 % (3527257)Success in time 1.461 s
% 11.29/3.00 % Vampire exiting
%------------------------------------------------------------------------------