%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL397-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 3.45s 1.59s
% Output : Refutation 3.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(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(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(x,implies(y,y))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_63) ).
fof(f7,plain,
! [X0,X1] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1,f4]) ).
fof(f8,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f2,f1]) ).
fof(f18,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f8,f1]) ).
fof(f19,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f18,f3]) ).
fof(f21,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,[],[f18,f8]) ).
fof(f26,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f19,f4]) ).
fof(f58,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X1,not(X0))) ),
inference(resolution,[],[f21,f4]) ).
fof(f82,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[],[f58,f19]) ).
fof(f126,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f82,f7]) ).
fof(f149,plain,
~ is_a_theorem(implies(y,y)),
inference(resolution,[],[f126,f5]) ).
fof(f151,plain,
$false,
inference(forward_subsumption_resolution,[],[f149,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL397-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n004.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 15:39:52 UTC 2026
% 0.04/0.38 % CPUTime :
% 0.04/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.42 Running first-order theorem proving
% 0.04/0.42 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
% 3.45/1.59 % (3687318)Input is clausal, will run a generic CNF schedule.
% 3.45/1.59 % (3687347)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4016729116:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 3.45/1.59 % (3687348)lrs+10_1_sil=8000:sp=occurrence:random_seed=2636308855:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 3.45/1.59 % (3687348)First to succeed.
% 3.45/1.59 % (3687348)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3687318"
% 3.45/1.59 % (3687346)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2367270646:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 3.45/1.59 % (3687345)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=1669209863:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 3.45/1.59 % (3687351)dis-21_1_sil=8000:lcm=predicate:random_seed=3076009060:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 3.45/1.59 % (3687350)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1461558897:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 3.45/1.59 % (3687349)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=683351146:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 3.45/1.59 % (3687349)Instruction limit reached!
% 3.45/1.59 % (3687349)------------------------------
% 3.45/1.59 % (3687349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.59 % (3687349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.59 % (3687349)CaDiCaL version: 2.1.3
% 3.45/1.59 % (3687349)Termination reason: Instruction limit
% 3.45/1.59 % (3687349)Termination phase: Saturation
% 3.45/1.59 % (3687349)Time elapsed: 0.099 s
% 3.45/1.59 % (3687349)Peak memory usage: 88 MB
% 3.45/1.59 % (3687349)Instructions burned: 115 (million)
% 3.45/1.59 % (3687350)Also succeeded, but the first one will report.
% 3.45/1.59 % (3687351)Instruction limit reached!
% 3.45/1.59 % (3687351)------------------------------
% 3.45/1.59 % (3687351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.59 % (3687351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.59 % (3687351)CaDiCaL version: 2.1.3
% 3.45/1.59 % (3687351)Termination reason: Instruction limit
% 3.45/1.59 % (3687351)Termination phase: Saturation
% 3.45/1.59 % (3687351)Time elapsed: 0.107 s
% 3.45/1.59 % (3687351)Peak memory usage: 88 MB
% 3.45/1.59 % (3687351)Instructions burned: 117 (million)
% 3.45/1.59 % (3687348)Refutation found. Thanks to Tanya!
% 3.45/1.59 % SZS status Unsatisfiable for theBenchmark
% 3.45/1.59 % SZS output start Proof for theBenchmark
% See solution above
% 3.45/1.59 % (3687348)------------------------------
% 3.45/1.59 % (3687348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.59 % (3687348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.59 % (3687348)CaDiCaL version: 2.1.3
% 3.45/1.59 % (3687348)Termination reason: Refutation
% 3.45/1.59 % (3687348)Time elapsed: 0.004 s
% 3.45/1.59 % (3687348)Peak memory usage: 88 MB
% 3.45/1.59 % (3687348)Instructions burned: 5 (million)
% 3.45/1.59 % (3687348)------------------------------
% 3.45/1.59 % (3687348)------------------------------
% 3.45/1.59 % (3687318)Success in time 0.383 s
% 3.45/1.59 % Vampire exiting
%------------------------------------------------------------------------------