%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL077-1 : 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 : n010.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 11:51:07 AM UTC 2026
% Result : Unsatisfiable 3.67s 1.49s
% Output : Refutation 3.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 14 unt; 1 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 24 ~; 13 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 31 !; 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',cn_18) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_35) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_49) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(not(not(a)),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_39) ).
fof(f6,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1,f2]) ).
fof(f10,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f3,f1]) ).
fof(f22,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f10,f1]) ).
fof(f24,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(not(X0),not(X1)),X0))
| ~ is_a_theorem(implies(implies(not(X0),not(X1)),X1)) ),
inference(resolution,[],[f22,f4]) ).
fof(f28,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f22,f6]) ).
fof(f34,definition,
( spl0_3
<=> ! [X1] : ~ is_a_theorem(X1) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f35,plain,
( ! [X1] : ~ is_a_theorem(X1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f43,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f35,f2]) ).
fof(f53,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f43]) ).
fof(f54,plain,
! [X0] :
( ~ is_a_theorem(implies(not(not(a)),X0))
| ~ is_a_theorem(implies(X0,a)) ),
inference(resolution,[],[f28,f5]) ).
fof(f58,plain,
! [X0] : ~ is_a_theorem(implies(implies(X0,not(not(a))),a)),
inference(resolution,[],[f54,f2]) ).
fof(f76,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,not(not(a))),X1))
| ~ is_a_theorem(implies(X1,a)) ),
inference(resolution,[],[f58,f28]) ).
fof(f227,plain,
! [X0] : ~ is_a_theorem(implies(implies(not(a),X0),a)),
inference(resolution,[],[f76,f4]) ).
fof(f241,plain,
! [X0] : ~ is_a_theorem(implies(implies(not(a),not(X0)),X0)),
inference(resolution,[],[f227,f24]) ).
fof(f268,plain,
! [X0] : ~ is_a_theorem(X0),
inference(resolution,[],[f241,f6]) ).
fof(f271,plain,
spl0_3,
inference(avatar_split_clause,[],[f268,f34]) ).
cnf(s5,plain,
~ spl0_3,
inference(sat_conversion,[],[f53]) ).
cnf(s10,plain,
spl0_3,
inference(sat_conversion,[],[f271]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s5,s10]) ).
fof(f273,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL077-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n010.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 15:21:16 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 3.67/1.48 % (1083541)Input is clausal, will run a generic CNF schedule.
% 3.67/1.48 % (1083647)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=4284117249:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.67/1.48 % (1083653)dis-21_1_sil=8000:lcm=predicate:random_seed=2822774149: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)
% 3.67/1.48 % (1083652)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1441585875:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.67/1.48 % (1083648)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2223356506:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.67/1.48 % (1083651)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2394472866:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.67/1.48 % (1083649)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1414853088:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.67/1.48 % (1083651)First to succeed.
% 3.67/1.48 % (1083651)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1083541"
% 3.67/1.48 % (1083650)lrs+10_1_sil=8000:sp=occurrence:random_seed=738599503:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.67/1.48 % (1083650)Also succeeded, but the first one will report.
% 3.67/1.48 % (1083652)Also succeeded, but the first one will report.
% 3.67/1.48 % (1083653)Instruction limit reached!
% 3.67/1.48 % (1083653)------------------------------
% 3.67/1.48 % (1083653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.48 % (1083653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.48 % (1083653)CaDiCaL version: 2.1.3
% 3.67/1.48 % (1083653)Termination reason: Instruction limit
% 3.67/1.48 % (1083653)Termination phase: Saturation
% 3.67/1.48 % (1083653)Time elapsed: 0.070 s
% 3.67/1.48 % (1083653)Peak memory usage: 88 MB
% 3.67/1.48 % (1083653)Instructions burned: 118 (million)
% 3.67/1.48 % (1083667)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=3790019494:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.67/1.49 % (1083667)Refutation not found, incomplete strategy
% 3.67/1.49 % (1083667)------------------------------
% 3.67/1.49 % (1083667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.49 % (1083667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.49 % (1083667)CaDiCaL version: 2.1.3
% 3.67/1.49 % (1083667)Termination reason: Refutation not found, incomplete strategy
% 3.67/1.49 % (1083667)Time elapsed: 0.001 s
% 3.67/1.49 % (1083667)Peak memory usage: 87 MB
% 3.67/1.49 % (1083651)Refutation found. Thanks to Tanya!
% 3.67/1.49 % SZS status Unsatisfiable for theBenchmark
% 3.67/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 3.67/1.49 % (1083651)------------------------------
% 3.67/1.49 % (1083651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.49 % (1083651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.49 % (1083651)CaDiCaL version: 2.1.3
% 3.67/1.49 % (1083651)Termination reason: Refutation
% 3.67/1.49 % (1083651)Time elapsed: 0.008 s
% 3.67/1.49 % (1083651)Peak memory usage: 89 MB
% 3.67/1.49 % (1083651)Instructions burned: 10 (million)
% 3.67/1.49 % (1083651)------------------------------
% 3.67/1.49 % (1083651)------------------------------
% 3.67/1.49 % (1083541)Success in time 0.439 s
% 3.67/1.49 % Vampire exiting
%------------------------------------------------------------------------------