%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL396-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 11:52:17 AM UTC 2026
% Result : Unsatisfiable 9.12s 2.28s
% Output : Refutation 10.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 10
% Syntax : Number of formulae : 64 ( 39 unt; 5 def)
% Number of atoms : 96 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 67 ( 35 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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; 7 con; 0-2 aty)
% Number of variables : 120 ( 120 !; 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,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(implies(not(not(x)),y),implies(x,y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_62) ).
fof(f6,definition,
sF0 = not(x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f7,plain,
not(x) = sF0,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF1 = not(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f9,plain,
not(sF0) = sF1,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF2 = implies(sF1,y),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f11,plain,
implies(sF1,y) = sF2,
inference(reorient_equations,[],[f10]) ).
fof(f12,definition,
sF3 = implies(x,y),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f13,plain,
implies(x,y) = sF3,
inference(reorient_equations,[],[f12]) ).
fof(f14,definition,
sF4 = implies(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f15,plain,
implies(sF2,sF3) = sF4,
inference(reorient_equations,[],[f14]) ).
fof(f16,plain,
~ is_a_theorem(sF4),
inference(definition_folding,[],[f5,f15,f13,f11,f9,f7]) ).
fof(f17,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1,f2]) ).
fof(f18,plain,
! [X0,X1] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f4,f1]) ).
fof(f25,plain,
! [X0] : is_a_theorem(implies(implies(x,X0),implies(implies(X0,y),sF3))),
inference(superposition,[],[f2,f13]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f17,f1]) ).
fof(f66,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,[],[f58,f17]) ).
fof(f68,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f58,f3]) ).
fof(f81,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f68,f4]) ).
fof(f88,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X3))))
| ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
inference(resolution,[],[f66,f2]) ).
fof(f89,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,X0))
| ~ is_a_theorem(implies(X2,X3))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f66,f17]) ).
fof(f90,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X1,not(X0))) ),
inference(resolution,[],[f66,f4]) ).
fof(f96,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(not(implies(X0,X1)),implies(X2,X1)))
| is_a_theorem(implies(implies(X0,X2),implies(X0,X1))) ),
inference(resolution,[],[f88,f68]) ).
fof(f98,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X3,implies(X4,X1)))
| ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X3,implies(X0,implies(X4,X2)))) ),
inference(resolution,[],[f88,f58]) ).
fof(f106,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[],[f90,f68]) ).
fof(f118,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(resolution,[],[f89,f3]) ).
fof(f150,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[],[f118,f81]) ).
fof(f165,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f106,f18]) ).
fof(f176,plain,
is_a_theorem(implies(implies(x,sF1),implies(sF2,sF3))),
inference(superposition,[],[f25,f11]) ).
fof(f196,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X3,implies(X0,implies(not(X3),X2)))) ),
inference(resolution,[],[f98,f4]) ).
fof(f251,plain,
is_a_theorem(implies(implies(x,sF1),sF4)),
inference(forward_demodulation,[],[f176,f15]) ).
fof(f283,plain,
( ~ is_a_theorem(implies(x,sF1))
| is_a_theorem(sF4) ),
inference(resolution,[],[f251,f1]) ).
fof(f284,plain,
~ is_a_theorem(implies(x,sF1)),
inference(forward_subsumption_resolution,[],[f283,f16]) ).
fof(f302,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,X0))
| is_a_theorem(implies(X2,implies(X3,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f165,f66]) ).
fof(f333,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(resolution,[],[f196,f4]) ).
fof(f384,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X1),X3),X2))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f302,f4]) ).
fof(f394,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(resolution,[],[f384,f3]) ).
fof(f419,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(resolution,[],[f394,f384]) ).
fof(f433,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(resolution,[],[f419,f118]) ).
fof(f455,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X2,X1)) ),
inference(resolution,[],[f433,f1]) ).
fof(f463,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(resolution,[],[f455,f150]) ).
fof(f489,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(resolution,[],[f463,f96]) ).
fof(f504,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(not(X2),X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f489,f58]) ).
fof(f528,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
inference(resolution,[],[f504,f2]) ).
fof(f537,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f504,f333]) ).
fof(f557,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X0),implies(X1,X0))),
inference(resolution,[],[f537,f504]) ).
fof(f561,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f537,f58]) ).
fof(f608,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X2,implies(X3,X1))) ),
inference(resolution,[],[f561,f58]) ).
fof(f772,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X0,implies(X3,X2))) ),
inference(resolution,[],[f608,f4]) ).
fof(f797,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(resolution,[],[f772,f557]) ).
fof(f825,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[],[f797,f118]) ).
fof(f855,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f825,f1]) ).
fof(f879,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[],[f855,f528]) ).
fof(f904,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f879,f66]) ).
fof(f936,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[],[f904,f4]) ).
fof(f964,plain,
! [X0] : is_a_theorem(implies(not(not(X0)),X0)),
inference(resolution,[],[f936,f68]) ).
fof(f1029,plain,
! [X0] : is_a_theorem(implies(X0,not(not(X0)))),
inference(resolution,[],[f964,f106]) ).
fof(f2363,plain,
is_a_theorem(implies(x,not(sF0))),
inference(superposition,[],[f1029,f7]) ).
fof(f2365,plain,
is_a_theorem(implies(x,sF1)),
inference(forward_demodulation,[],[f2363,f9]) ).
fof(f2366,plain,
$false,
inference(forward_subsumption_resolution,[],[f2365,f284]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL396-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 % Computer : n011.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sun Sep 27 15:40:00 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.47 Running first-order theorem proving
% 0.14/0.47 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
% 9.12/2.28 % (2576768)Input is clausal, will run a generic CNF schedule.
% 9.12/2.28 % (2576773)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=606611331:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.12/2.28 % (2576779)dis-21_1_sil=8000:lcm=predicate:random_seed=1375920432: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)
% 9.12/2.28 % (2576776)lrs+10_1_sil=8000:sp=occurrence:random_seed=613895137:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.12/2.28 % (2576775)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1808474587:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.12/2.28 % (2576778)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=392026855:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.12/2.28 % (2576774)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=344394525:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.12/2.28 % (2576777)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3203064725:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.12/2.28 % (2576779)Instruction limit reached!
% 9.12/2.28 % (2576779)------------------------------
% 9.12/2.28 % (2576779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.12/2.28 % (2576779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.12/2.28 % (2576779)CaDiCaL version: 2.1.3
% 9.12/2.28 % (2576779)Termination reason: Instruction limit
% 9.12/2.28 % (2576779)Termination phase: Saturation
% 9.12/2.28 % (2576779)Time elapsed: 0.109 s
% 9.12/2.28 % (2576779)Peak memory usage: 88 MB
% 9.12/2.28 % (2576779)Instructions burned: 117 (million)
% 9.12/2.28 % (2576776)Instruction limit reached!
% 9.12/2.28 % (2576776)------------------------------
% 9.12/2.28 % (2576776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.12/2.28 % (2576776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.12/2.28 % (2576776)CaDiCaL version: 2.1.3
% 9.12/2.28 % (2576776)Termination reason: Instruction limit
% 9.12/2.28 % (2576776)Termination phase: Saturation
% 9.12/2.28 % (2576776)Time elapsed: 0.107 s
% 9.12/2.28 % (2576776)Peak memory usage: 88 MB
% 9.12/2.28 % (2576776)Instructions burned: 107 (million)
% 9.12/2.28 % (2576777)Instruction limit reached!
% 9.12/2.28 % (2576777)------------------------------
% 9.12/2.28 % (2576777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.12/2.28 % (2576777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.12/2.28 % (2576777)CaDiCaL version: 2.1.3
% 9.12/2.28 % (2576777)Termination reason: Instruction limit
% 9.12/2.28 % (2576777)Termination phase: Saturation
% 9.12/2.28 % (2576777)Time elapsed: 0.118 s
% 9.12/2.28 % (2576777)Peak memory usage: 88 MB
% 9.12/2.28 % (2576777)Instructions burned: 114 (million)
% 9.12/2.28 % (2576778)Instruction limit reached!
% 9.12/2.28 % (2576778)------------------------------
% 9.12/2.28 % (2576778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.12/2.28 % (2576778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.12/2.28 % (2576778)CaDiCaL version: 2.1.3
% 9.12/2.28 % (2576778)Termination reason: Instruction limit
% 9.12/2.28 % (2576778)Termination phase: Saturation
% 9.12/2.28 % (2576778)Time elapsed: 0.195 s
% 9.12/2.28 % (2576778)Peak memory usage: 89 MB
% 9.12/2.28 % (2576778)Instructions burned: 180 (million)
% 9.12/2.28 % (2576787)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=4129736016:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 9.12/2.28 % (2576787)Refutation not found, incomplete strategy
% 9.12/2.28 % (2576787)------------------------------
% 9.12/2.28 % (2576787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.12/2.28 % (2576787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.12/2.28 % (2576787)CaDiCaL version: 2.1.3
% 9.12/2.28 % (2576787)Termination reason: Refutation not found, incomplete strategy
% 9.12/2.28 % (2576787)Time elapsed: 0.001 s
% 9.12/2.28 % (2576787)Peak memory usage: 87 MB
% 9.12/2.28 % (2576788)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2890362016: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)
% 9.12/2.28 % (2576789)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=278146361:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 9.12/2.28 % (2576789)Refutation not found, incomplete strategy
% 9.12/2.28 % (2576789)------------------------------
% 9.12/2.28 % (2576789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.12/2.28 % (2576789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.12/2.28 % (2576789)CaDiCaL version: 2.1.3
% 9.12/2.28 % (2576789)Termination reason: Refutation not found, incomplete strategy
% 9.12/2.28 % (2576789)Time elapsed: 0.001 s
% 9.12/2.28 % (2576789)Peak memory usage: 87 MB
% 9.12/2.28 % (2576791)lrs+10_64_to=lpo:sil=8000:random_seed=4026586804:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 9.12/2.28 % (2576788)Instruction limit reached!
% 9.12/2.28 % (2576788)------------------------------
% 9.12/2.28 % (2576788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.12/2.28 % (2576788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.12/2.28 % (2576788)CaDiCaL version: 2.1.3
% 9.12/2.28 % (2576788)Termination reason: Instruction limit
% 9.12/2.28 % (2576788)Termination phase: Saturation
% 9.12/2.28 % (2576788)Time elapsed: 0.184 s
% 9.12/2.28 % (2576788)Peak memory usage: 89 MB
% 9.12/2.28 % (2576788)Instructions burned: 190 (million)
% 9.12/2.28 % (2576791)Instruction limit reached!
% 9.12/2.28 % (2576791)------------------------------
% 9.12/2.28 % (2576791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.12/2.28 % (2576791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.12/2.28 % (2576791)CaDiCaL version: 2.1.3
% 9.12/2.28 % (2576791)Termination reason: Instruction limit
% 9.12/2.28 % (2576791)Termination phase: Saturation
% 9.12/2.28 % (2576791)Time elapsed: 0.124 s
% 9.12/2.28 % (2576791)Peak memory usage: 88 MB
% 9.12/2.28 % (2576791)Instructions burned: 126 (million)
% 9.12/2.28 % (2576787)------------------------------
% 9.12/2.28 % (2576787)------------------------------
% 9.12/2.28 % (2576773)First to succeed.
% 9.12/2.28 % (2576773)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2576768"
% 9.12/2.28 % (2576789)------------------------------
% 9.12/2.28 % (2576789)------------------------------
% 9.12/2.28 % (2576797)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1012636567:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 9.12/2.28 % (2576798)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=661277637:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 9.12/2.28 % (2576799)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3191491196:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 9.12/2.28 % (2576773)Refutation found. Thanks to Tanya!
% 9.12/2.28 % SZS status Unsatisfiable for theBenchmark
% 9.12/2.28 % SZS output start Proof for theBenchmark
% See solution above
% 10.05/2.54 % (2576773)------------------------------
% 10.05/2.54 % (2576773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.05/2.54 % (2576773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.05/2.54 % (2576773)CaDiCaL version: 2.1.3
% 10.05/2.54 % (2576773)Termination reason: Refutation
% 10.05/2.54 % (2576773)Time elapsed: 0.847 s
% 10.05/2.54 % (2576773)Peak memory usage: 133 MB
% 10.05/2.54 % (2576773)Instructions burned: 1471 (million)
% 10.05/2.54 % (2576773)------------------------------
% 10.05/2.54 % (2576773)------------------------------
% 10.05/2.54 % (2576768)Success in time 1.313 s
% 10.05/2.54 % Vampire exiting
%------------------------------------------------------------------------------