%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN684-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 02:01:14 PM UTC 2026
% Result : Unsatisfiable 2.42s 0.93s
% Output : Refutation 2.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 12 unt; 1 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 20 ~; 14 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).
fof(f11,negated_conjecture,
p25(c33,c36),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_11) ).
fof(f12,negated_conjecture,
p25(c32,c33),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_12) ).
fof(f19,negated_conjecture,
! [X0] : ~ p2(X0,f18(X0,f9(f17(c31)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_19) ).
fof(f31,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_31) ).
fof(f39,negated_conjecture,
p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_39) ).
fof(f51,negated_conjecture,
! [X0] :
( p2(f11(f4(X0),c34),f11(f4(c32),c34))
| ~ p25(X0,c36)
| ~ p25(c32,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_51) ).
fof(f56,plain,
! [X0,X1] :
( ~ p2(X0,f18(X1,f9(f17(c31))))
| ~ p2(X0,X1) ),
inference(resolution,[],[f31,f19]) ).
fof(f60,plain,
~ p2(f11(f4(c32),c34),f11(f4(c33),c34)),
inference(resolution,[],[f39,f56]) ).
fof(f62,plain,
! [X0] :
( ~ p2(X0,f11(f4(c32),c34))
| ~ p2(X0,f11(f4(c33),c34)) ),
inference(resolution,[],[f60,f31]) ).
fof(f120,definition,
( spl0_3
<=> p2(f11(f4(c33),c34),f11(f4(c32),c34)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f121,plain,
( ~ p2(f11(f4(c33),c34),f11(f4(c32),c34))
| spl0_3 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f122,plain,
( p2(f11(f4(c33),c34),f11(f4(c32),c34))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f128,plain,
( ~ p2(f11(f4(c33),c34),f11(f4(c33),c34))
| ~ spl0_3 ),
inference(resolution,[],[f122,f62]) ).
fof(f129,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f128,f7]) ).
fof(f130,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f129]) ).
fof(f134,plain,
( ~ p25(c33,c36)
| ~ p25(c32,c33)
| spl0_3 ),
inference(resolution,[],[f121,f51]) ).
fof(f137,plain,
( ~ p25(c32,c33)
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f134,f11]) ).
fof(f138,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f137,f12]) ).
fof(f139,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f138]) ).
cnf(s3,plain,
~ spl0_3,
inference(sat_conversion,[],[f130]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f139]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s3,s4]) ).
fof(f140,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN684-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 % Computer : n006.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Mon Sep 28 16:43:25 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.26 Running first-order theorem proving
% 0.19/0.26 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
% 2.42/0.93 % (4106195)Input is clausal, will run a generic CNF schedule.
% 2.42/0.93 % (4106205)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=338294704:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.42/0.93 % (4106205)First to succeed.
% 2.42/0.93 % (4106205)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4106195"
% 2.42/0.93 % (4106201)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2775542720:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.42/0.93 % (4106206)dis-21_1_sil=8000:lcm=predicate:random_seed=1510660021: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)
% 2.42/0.93 % (4106200)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=1609704051:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.42/0.93 % (4106202)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3584657284:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.42/0.93 % (4106204)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1699185746:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.42/0.93 % (4106203)lrs+10_1_sil=8000:sp=occurrence:random_seed=4043032665:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.42/0.93 % (4106206)Also succeeded, but the first one will report.
% 2.42/0.93 % (4106204)Also succeeded, but the first one will report.
% 2.42/0.93 % (4106203)Also succeeded, but the first one will report.
% 2.42/0.93 % (4106205)Refutation found. Thanks to Tanya!
% 2.42/0.93 % SZS status Unsatisfiable for theBenchmark
% 2.42/0.93 % SZS output start Proof for theBenchmark
% See solution above
% 2.42/0.93 % (4106205)------------------------------
% 2.42/0.93 % (4106205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.42/0.93 % (4106205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.93 % (4106205)CaDiCaL version: 2.1.3
% 2.42/0.93 % (4106205)Termination reason: Refutation
% 2.42/0.93 % (4106205)Time elapsed: 0.003 s
% 2.42/0.93 % (4106205)Peak memory usage: 89 MB
% 2.42/0.93 % (4106205)Instructions burned: 6 (million)
% 2.42/0.93 % (4106205)------------------------------
% 2.42/0.93 % (4106205)------------------------------
% 2.42/0.93 % (4106195)Success in time 0.281 s
% 2.42/0.93 % Vampire exiting
%------------------------------------------------------------------------------