%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL024-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 11:50:57 AM UTC 2026
% Result : Unsatisfiable 23.58s 4.83s
% Output : Refutation 23.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 8
% Syntax : Number of formulae : 53 ( 27 unt; 5 def)
% Number of atoms : 90 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 76 ( 39 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 97 ( 97 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X0)),equivalent(X2,X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xgk) ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(b,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_pyo) ).
fof(f4,definition,
sF0 = equivalent(b,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f5,plain,
equivalent(b,c) = sF0,
inference(reorient_equations,[],[f4]) ).
fof(f6,definition,
sF1 = equivalent(a,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f7,plain,
equivalent(a,sF0) = sF1,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF2 = equivalent(sF1,c),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f9,plain,
equivalent(sF1,c) = sF2,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF3 = equivalent(b,a),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f11,plain,
equivalent(b,a) = sF3,
inference(reorient_equations,[],[f10]) ).
fof(f12,definition,
sF4 = equivalent(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f13,plain,
equivalent(sF2,sF3) = sF4,
inference(reorient_equations,[],[f12]) ).
fof(f14,plain,
~ is_a_theorem(sF4),
inference(definition_folding,[],[f3,f13,f11,f9,f7,f5]) ).
fof(f18,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X0)),equivalent(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f2,f1]) ).
fof(f25,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X2,X0)))
| ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X2,X1)) ),
inference(resolution,[],[f18,f1]) ).
fof(f32,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X1,equivalent(X0,X2)),X2))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f25,f2]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X0,X2)))
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X2) ),
inference(resolution,[],[f32,f1]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X2))
| is_a_theorem(equivalent(X1,X0)) ),
inference(resolution,[],[f37,f2]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X0,X2))))
| is_a_theorem(X1)
| ~ is_a_theorem(X2) ),
inference(resolution,[],[f37,f18]) ).
fof(f44,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(X0,X3)))))
| is_a_theorem(X3)
| ~ is_a_theorem(equivalent(X2,X1)) ),
inference(resolution,[],[f37,f32]) ).
fof(f71,plain,
! [X0,X1] :
( is_a_theorem(equivalent(X0,equivalent(X1,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f43,f2]) ).
fof(f77,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X1,X0))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(resolution,[],[f71,f37]) ).
fof(f81,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,X2))))
| is_a_theorem(equivalent(X1,X0)) ),
inference(resolution,[],[f71,f42]) ).
fof(f83,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),X1)),
inference(resolution,[],[f81,f2]) ).
fof(f168,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X0),equivalent(X1,X2))))
| is_a_theorem(X0) ),
inference(resolution,[],[f44,f2]) ).
fof(f359,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(X1,equivalent(X0,X2)))
| ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X2) ),
inference(resolution,[],[f77,f18]) ).
fof(f393,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(equivalent(X2,X0))
| is_a_theorem(X1) ),
inference(resolution,[],[f359,f168]) ).
fof(f412,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(X1,X0)) ),
inference(resolution,[],[f393,f83]) ).
fof(f414,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,X1))
| is_a_theorem(equivalent(X2,X0))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f393,f32]) ).
fof(f434,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,X0))))
| ~ is_a_theorem(equivalent(X2,X1)) ),
inference(resolution,[],[f412,f32]) ).
fof(f435,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X1,X0)),X2)),
inference(resolution,[],[f412,f2]) ).
fof(f470,plain,
! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X0,X1)))),
inference(resolution,[],[f435,f42]) ).
fof(f507,plain,
! [X0,X1] :
( is_a_theorem(equivalent(X1,equivalent(X0,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f470,f1]) ).
fof(f553,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(X3,X0)),equivalent(X3,X2))))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f414,f2]) ).
fof(f618,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,X2))
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(X1,X2)) ),
inference(resolution,[],[f434,f25]) ).
fof(f654,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),X2))
| is_a_theorem(equivalent(X2,X1)) ),
inference(resolution,[],[f618,f83]) ).
fof(f657,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X3))
| is_a_theorem(equivalent(X3,X2))
| ~ is_a_theorem(equivalent(X1,X0)) ),
inference(resolution,[],[f618,f32]) ).
fof(f856,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(X2,equivalent(X1,X0))) ),
inference(resolution,[],[f507,f553]) ).
fof(f878,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X0))),
inference(resolution,[],[f856,f470]) ).
fof(f900,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X0),X1)),
inference(resolution,[],[f878,f654]) ).
fof(f1211,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,equivalent(equivalent(X2,X1),X0)))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f657,f900]) ).
fof(f1330,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(resolution,[],[f1211,f434]) ).
fof(f1338,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X0))),equivalent(X2,X1))),
inference(resolution,[],[f1330,f2]) ).
fof(f1381,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(equivalent(X1,equivalent(X0,X2))) ),
inference(resolution,[],[f1338,f393]) ).
fof(f1429,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,equivalent(X1,X0)))),
inference(resolution,[],[f1381,f1338]) ).
fof(f1478,plain,
! [X0] : is_a_theorem(equivalent(equivalent(a,equivalent(b,X0)),equivalent(X0,sF3))),
inference(superposition,[],[f1429,f11]) ).
fof(f1500,plain,
is_a_theorem(equivalent(equivalent(a,sF0),equivalent(c,sF3))),
inference(superposition,[],[f1478,f5]) ).
fof(f1502,plain,
is_a_theorem(equivalent(sF1,equivalent(c,sF3))),
inference(forward_demodulation,[],[f1500,f7]) ).
fof(f1504,plain,
is_a_theorem(equivalent(equivalent(sF1,c),sF3)),
inference(resolution,[],[f1502,f1330]) ).
fof(f1516,plain,
is_a_theorem(equivalent(sF2,sF3)),
inference(forward_demodulation,[],[f1504,f9]) ).
fof(f1517,plain,
is_a_theorem(sF4),
inference(forward_demodulation,[],[f1516,f13]) ).
fof(f1518,plain,
$false,
inference(forward_subsumption_resolution,[],[f1517,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL024-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.47 % Computer : n016.cluster.edu
% 0.21/0.47 % Model : x86_64 x86_64
% 0.21/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.47 % Memory : 8046.5625MB
% 0.21/0.47 % OS : Linux 6.8.0-71-generic
% 0.21/0.47 % CPULimit : 300
% 0.21/0.47 % WCLimit : 300
% 0.21/0.47 % DateTime : Sun Sep 27 15:22:32 UTC 2026
% 0.21/0.47 % CPUTime :
% 0.21/0.48 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.53 Running first-order theorem proving
% 0.26/0.53 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.08/3.77 % (2771129)Input is clausal, will run a generic CNF schedule.
% 17.08/3.77 % (2771154)lrs+10_1_sil=8000:sp=occurrence:random_seed=1027382962:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 17.08/3.77 % (2771154)Instruction limit reached!
% 17.08/3.77 % (2771154)------------------------------
% 17.08/3.77 % (2771154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.08/3.77 % (2771154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.08/3.77 % (2771154)CaDiCaL version: 2.1.3
% 17.08/3.77 % (2771154)Termination reason: Instruction limit
% 17.08/3.77 % (2771154)Termination phase: Saturation
% 17.08/3.77 % (2771154)Time elapsed: 0.054 s
% 17.08/3.77 % (2771154)Peak memory usage: 88 MB
% 17.08/3.77 % (2771154)Instructions burned: 109 (million)
% 17.08/3.77 % (2771151)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=1904285068:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 17.08/3.77 % (2771152)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1903551158:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 17.08/3.77 % (2771155)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2158932793:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 17.08/3.77 % (2771153)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3513788241:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 17.08/3.77 % (2771156)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1328169933:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 17.08/3.77 % (2771157)dis-21_1_sil=8000:lcm=predicate:random_seed=3271703011:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 17.08/3.77 % (2771155)Instruction limit reached!
% 17.08/3.77 % (2771155)------------------------------
% 17.08/3.77 % (2771155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.08/3.77 % (2771155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.08/3.77 % (2771155)CaDiCaL version: 2.1.3
% 17.08/3.77 % (2771155)Termination reason: Instruction limit
% 17.08/3.77 % (2771155)Termination phase: Saturation
% 17.08/3.77 % (2771155)Time elapsed: 0.105 s
% 17.08/3.77 % (2771155)Peak memory usage: 88 MB
% 17.08/3.77 % (2771155)Instructions burned: 115 (million)
% 17.08/3.77 % (2771157)Instruction limit reached!
% 17.08/3.77 % (2771157)------------------------------
% 17.08/3.77 % (2771157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.08/3.77 % (2771157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.08/3.77 % (2771157)CaDiCaL version: 2.1.3
% 17.08/3.77 % (2771157)Termination reason: Instruction limit
% 17.08/3.77 % (2771157)Termination phase: Saturation
% 17.08/3.77 % (2771157)Time elapsed: 0.116 s
% 17.08/3.77 % (2771157)Peak memory usage: 89 MB
% 17.08/3.77 % (2771157)Instructions burned: 117 (million)
% 17.08/3.77 % (2771156)Instruction limit reached!
% 17.08/3.77 % (2771156)------------------------------
% 17.08/3.77 % (2771156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.08/3.77 % (2771156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.08/3.77 % (2771156)CaDiCaL version: 2.1.3
% 17.08/3.77 % (2771156)Termination reason: Instruction limit
% 17.08/3.77 % (2771156)Termination phase: Saturation
% 17.08/3.77 % (2771156)Time elapsed: 0.180 s
% 17.08/3.77 % (2771156)Peak memory usage: 89 MB
% 17.08/3.77 % (2771156)Instructions burned: 180 (million)
% 17.08/3.77 % (2771159)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=2929220915:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 17.08/3.77 % (2771159)Refutation not found, incomplete strategy
% 17.08/3.77 % (2771159)------------------------------
% 17.08/3.77 % (2771159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.08/3.77 % (2771159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.08/3.77 % (2771159)CaDiCaL version: 2.1.3
% 17.08/3.77 % (2771159)Termination reason: Refutation not found, incomplete strategy
% 17.08/3.77 % (2771159)Time elapsed: 0.001 s
% 17.08/3.77 % (2771159)Peak memory usage: 87 MB
% 17.08/3.77 % (2771166)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3257833551:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 22.66/4.45 % (2771167)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1237996697:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 22.66/4.45 % (2771167)Refutation not found, incomplete strategy
% 22.66/4.45 % (2771167)------------------------------
% 22.66/4.45 % (2771167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.66/4.45 % (2771167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/4.45 % (2771167)CaDiCaL version: 2.1.3
% 22.66/4.45 % (2771167)Termination reason: Refutation not found, incomplete strategy
% 22.66/4.45 % (2771167)Time elapsed: 0.001 s
% 22.66/4.45 % (2771167)Peak memory usage: 87 MB
% 22.66/4.45 % (2771159)------------------------------
% 22.66/4.45 % (2771159)------------------------------
% 22.66/4.45 % (2771168)lrs+10_64_to=lpo:sil=8000:random_seed=535831003:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 22.66/4.45 % (2771166)Instruction limit reached!
% 22.66/4.45 % (2771166)------------------------------
% 22.66/4.45 % (2771166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.66/4.45 % (2771166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/4.45 % (2771166)CaDiCaL version: 2.1.3
% 22.66/4.45 % (2771166)Termination reason: Instruction limit
% 22.66/4.45 % (2771166)Termination phase: Saturation
% 22.66/4.45 % (2771166)Time elapsed: 0.165 s
% 22.66/4.45 % (2771166)Peak memory usage: 89 MB
% 22.66/4.45 % (2771166)Instructions burned: 190 (million)
% 22.66/4.45 % (2771168)Instruction limit reached!
% 22.66/4.45 % (2771168)------------------------------
% 22.66/4.45 % (2771168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.66/4.45 % (2771168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/4.45 % (2771168)CaDiCaL version: 2.1.3
% 22.66/4.45 % (2771168)Termination reason: Instruction limit
% 22.66/4.45 % (2771168)Termination phase: Saturation
% 22.66/4.45 % (2771168)Time elapsed: 0.126 s
% 22.66/4.45 % (2771168)Peak memory usage: 88 MB
% 22.66/4.45 % (2771168)Instructions burned: 126 (million)
% 22.66/4.45 % (2771172)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3226924201:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 22.66/4.45 % (2771167)------------------------------
% 22.66/4.45 % (2771167)------------------------------
% 22.66/4.45 % (2771172)Instruction limit reached!
% 22.66/4.45 % (2771172)------------------------------
% 22.66/4.45 % (2771172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.66/4.45 % (2771172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/4.45 % (2771172)CaDiCaL version: 2.1.3
% 22.66/4.45 % (2771172)Termination reason: Instruction limit
% 22.66/4.45 % (2771172)Termination phase: Saturation
% 22.66/4.45 % (2771172)Time elapsed: 0.117 s
% 22.66/4.45 % (2771172)Peak memory usage: 89 MB
% 22.66/4.45 % (2771172)Instructions burned: 195 (million)
% 22.66/4.45 % (2771174)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1904349136:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 22.66/4.45 % (2771175)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1976612783:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 22.66/4.45 % (2771174)Instruction limit reached!
% 22.66/4.45 % (2771174)------------------------------
% 22.66/4.45 % (2771174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.66/4.45 % (2771174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/4.45 % (2771174)CaDiCaL version: 2.1.3
% 22.66/4.45 % (2771174)Termination reason: Instruction limit
% 22.66/4.45 % (2771174)Termination phase: Saturation
% 22.66/4.45 % (2771174)Time elapsed: 0.168 s
% 22.66/4.45 % (2771174)Peak memory usage: 90 MB
% 22.66/4.45 % (2771174)Instructions burned: 157 (million)
% 22.66/4.45 % (2771179)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3895810230:i=107_2988 on theBenchmark for (2988ds/107Mi)
% 22.66/4.45 % (2771179)Refutation not found, incomplete strategy
% 22.66/4.45 % (2771179)------------------------------
% 22.66/4.45 % (2771179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.66/4.45 % (2771179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/4.45 % (2771179)CaDiCaL version: 2.1.3
% 22.66/4.45 % (2771179)Termination reason: Refutation not found, incomplete strategy
% 22.66/4.45 % (2771179)Time elapsed: 0.001 s
% 22.66/4.45 % (2771179)Peak memory usage: 87 MB
% 22.66/4.45 % (2771177)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=3239977918:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 22.66/4.45 % (2771177)Instruction limit reached!
% 22.66/4.45 % (2771177)------------------------------
% 22.66/4.45 % (2771177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.66/4.45 % (2771177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/4.45 % (2771177)CaDiCaL version: 2.1.3
% 22.66/4.45 % (2771177)Termination reason: Instruction limit
% 22.66/4.45 % (2771177)Termination phase: Saturation
% 22.66/4.45 % (2771177)Time elapsed: 0.092 s
% 22.66/4.45 % (2771177)Peak memory usage: 88 MB
% 22.66/4.45 % (2771177)Instructions burned: 106 (million)
% 22.66/4.45 % (2771179)------------------------------
% 22.66/4.45 % (2771179)------------------------------
% 22.66/4.45 % (2771181)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1390328625:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2987 on theBenchmark for (2987ds/242Mi)
% 22.66/4.46 % (2771184)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=556475531:cond=fast:i=5208:av=off_2985 on theBenchmark for (2985ds/5208Mi)
% 22.66/4.46 % (2771181)Instruction limit reached!
% 22.66/4.46 % (2771181)------------------------------
% 22.66/4.46 % (2771181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.66/4.46 % (2771181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/4.46 % (2771181)CaDiCaL version: 2.1.3
% 22.66/4.46 % (2771181)Termination reason: Instruction limit
% 22.66/4.46 % (2771181)Termination phase: Saturation
% 22.66/4.46 % (2771181)Time elapsed: 0.198 s
% 22.66/4.46 % (2771181)Peak memory usage: 89 MB
% 22.66/4.46 % (2771181)Instructions burned: 242 (million)
% 22.66/4.46 % (2771186)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=376314148:i=134:sd=2:doe=on:ss=axioms:sgt=14_2984 on theBenchmark for (2984ds/134Mi)
% 22.66/4.46 % (2771186)Instruction limit reached!
% 22.66/4.46 % (2771186)------------------------------
% 22.66/4.46 % (2771186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.66/4.46 % (2771186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/4.46 % (2771186)CaDiCaL version: 2.1.3
% 22.66/4.46 % (2771186)Termination reason: Instruction limit
% 22.66/4.46 % (2771186)Termination phase: Saturation
% 22.66/4.46 % (2771186)Time elapsed: 0.077 s
% 22.66/4.46 % (2771186)Peak memory usage: 89 MB
% 22.66/4.46 % (2771186)Instructions burned: 136 (million)
% 22.66/4.46 % (2771188)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=413953277:i=499:bd=all_2982 on theBenchmark for (2982ds/499Mi)
% 22.66/4.46 % (2771190)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3609135802:i=191:fgj=on:bd=all_2981 on theBenchmark for (2981ds/191Mi)
% 22.66/4.46 % (2771190)Instruction limit reached!
% 22.66/4.46 % (2771190)------------------------------
% 22.66/4.46 % (2771190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.66/4.46 % (2771190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/4.46 % (2771190)CaDiCaL version: 2.1.3
% 22.66/4.46 % (2771190)Termination reason: Instruction limit
% 22.66/4.46 % (2771190)Termination phase: Saturation
% 22.66/4.46 % (2771190)Time elapsed: 0.101 s
% 22.66/4.46 % (2771190)Peak memory usage: 89 MB
% 22.66/4.46 % (2771190)Instructions burned: 192 (million)
% 22.66/4.46 % (2771193)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=964787958:i=264:kws=precedence:fsr=off_2977 on theBenchmark for (2977ds/264Mi)
% 22.66/4.46 % (2771188)Instruction limit reached!
% 22.66/4.46 % (2771188)------------------------------
% 22.66/4.46 % (2771188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.66/4.46 % (2771188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/4.46 % (2771188)CaDiCaL version: 2.1.3
% 22.66/4.46 % (2771188)Termination reason: Instruction limit
% 22.66/4.46 % (2771188)Termination phase: Saturation
% 22.66/4.46 % (2771188)Time elapsed: 0.435 s
% 22.66/4.46 % (2771188)Peak memory usage: 91 MB
% 22.66/4.46 % (2771188)Instructions burned: 500 (million)
% 23.58/4.83 % (2771193)Instruction limit reached!
% 23.58/4.83 % (2771193)------------------------------
% 23.58/4.83 % (2771193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.58/4.83 % (2771193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.58/4.83 % (2771193)CaDiCaL version: 2.1.3
% 23.58/4.83 % (2771193)Termination reason: Instruction limit
% 23.58/4.83 % (2771193)Termination phase: Saturation
% 23.58/4.83 % (2771193)Time elapsed: 0.139 s
% 23.58/4.83 % (2771193)Peak memory usage: 91 MB
% 23.58/4.83 % (2771193)Instructions burned: 265 (million)
% 23.58/4.83 % (2771195)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=750184448:cond=on:i=156:bs=on:gtg=exists_all:er=known_2975 on theBenchmark for (2975ds/156Mi)
% 23.58/4.83 % (2771196)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=1220977527:i=3256:kws=precedence:bd=preordered:av=off_2974 on theBenchmark for (2974ds/3256Mi)
% 23.58/4.83 % (2771184)First to succeed.
% 23.58/4.83 % (2771184)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2771129"
% 23.58/4.83 % (2771195)Instruction limit reached!
% 23.58/4.83 % (2771195)------------------------------
% 23.58/4.83 % (2771195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.58/4.83 % (2771195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.58/4.83 % (2771195)CaDiCaL version: 2.1.3
% 23.58/4.83 % (2771195)Termination reason: Instruction limit
% 23.58/4.83 % (2771195)Termination phase: Saturation
% 23.58/4.83 % (2771195)Time elapsed: 0.165 s
% 23.58/4.83 % (2771195)Peak memory usage: 90 MB
% 23.58/4.83 % (2771195)Instructions burned: 156 (million)
% 23.58/4.83 % (2771184)Refutation found. Thanks to Tanya!
% 23.58/4.83 % SZS status Unsatisfiable for theBenchmark
% 23.58/4.83 % SZS output start Proof for theBenchmark
% See solution above
% 23.58/4.83 % (2771184)------------------------------
% 23.58/4.83 % (2771184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.58/4.83 % (2771184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.58/4.83 % (2771184)CaDiCaL version: 2.1.3
% 23.58/4.83 % (2771184)Termination reason: Refutation
% 23.58/4.83 % (2771184)Time elapsed: 1.177 s
% 23.58/4.83 % (2771184)Peak memory usage: 131 MB
% 23.58/4.83 % (2771184)Instructions burned: 1296 (million)
% 23.58/4.83 % (2771184)------------------------------
% 23.58/4.83 % (2771184)------------------------------
% 23.58/4.83 % (2771129)Success in time 3.178 s
% 23.58/4.83 % Vampire exiting
%------------------------------------------------------------------------------