%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN107-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 01:49:41 PM UTC 2026
% Result : Unsatisfiable 2.65s 1.15s
% Output : Refutation 2.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 11 unt; 3 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 15 ~; 14 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
fof(f155,axiom,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_117) ).
fof(f167,axiom,
! [X0,X1] :
( ~ q1(X1,X0,X0)
| k2(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_129) ).
fof(f369,negated_conjecture,
! [X0] : ~ k2(X0,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f454,definition,
( spl0_25
<=> q1(d,d,d) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f621,definition,
( spl0_74
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f622,plain,
( ~ s0(d)
| spl0_74 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f782,definition,
( spl0_120
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
fof(f783,plain,
( ~ k0(e)
| spl0_120 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f796,plain,
( q1(d,d,d)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f797,plain,
( ~ spl0_74
| ~ spl0_120
| spl0_25 ),
inference(avatar_split_clause,[],[f155,f454,f782,f621]) ).
fof(f1391,plain,
( $false
| spl0_74 ),
inference(forward_subsumption_resolution,[],[f622,f1]) ).
fof(f1392,plain,
spl0_74,
inference(avatar_contradiction_clause,[],[f1391]) ).
fof(f1393,plain,
( $false
| spl0_120 ),
inference(forward_subsumption_resolution,[],[f783,f28]) ).
fof(f1394,plain,
spl0_120,
inference(avatar_contradiction_clause,[],[f1393]) ).
fof(f1672,plain,
( k2(d,d)
| ~ spl0_25 ),
inference(resolution,[],[f167,f796]) ).
fof(f1685,plain,
( $false
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f1672,f369]) ).
fof(f1686,plain,
~ spl0_25,
inference(avatar_contradiction_clause,[],[f1685]) ).
cnf(s57,plain,
( spl0_25
| ~ spl0_74
| ~ spl0_120 ),
inference(sat_conversion,[],[f797]) ).
cnf(s154,plain,
spl0_74,
inference(sat_conversion,[],[f1392]) ).
cnf(s155,plain,
spl0_120,
inference(sat_conversion,[],[f1394]) ).
cnf(s256,plain,
~ spl0_25,
inference(sat_conversion,[],[f1686]) ).
cnf(s312,plain,
$false,
inference(rat,[],[s57,s155,s154,s256]) ).
fof(f1688,plain,
$false,
inference(avatar_sat_refutation,[],[s312]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN107-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n013.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 15:33:37 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 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
% 2.65/1.15 % (1274669)Input is clausal, will run a generic CNF schedule.
% 2.65/1.15 % (1274678)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=706782827:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.65/1.15 % (1274678)First to succeed.
% 2.65/1.15 % (1274678)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1274669"
% 2.65/1.15 % (1274679)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=36154104:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.65/1.15 % (1274674)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=1446422948:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.65/1.15 % (1274675)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3623505494:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.65/1.15 % (1274680)dis-21_1_sil=8000:lcm=predicate:random_seed=1004664445: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)
% 2.65/1.15 % (1274677)lrs+10_1_sil=8000:sp=occurrence:random_seed=3967871363:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.65/1.15 % (1274676)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1796526844:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.65/1.15 % (1274677)Also succeeded, but the first one will report.
% 2.65/1.15 % (1274679)Also succeeded, but the first one will report.
% 2.65/1.15 % (1274680)Also succeeded, but the first one will report.
% 2.65/1.15 % (1274678)Refutation found. Thanks to Tanya!
% 2.65/1.15 % SZS status Unsatisfiable for theBenchmark
% 2.65/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 2.65/1.15 % (1274678)------------------------------
% 2.65/1.15 % (1274678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.15 % (1274678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.15 % (1274678)CaDiCaL version: 2.1.3
% 2.65/1.15 % (1274678)Termination reason: Refutation
% 2.65/1.15 % (1274678)Time elapsed: 0.008 s
% 2.65/1.15 % (1274678)Peak memory usage: 90 MB
% 2.65/1.15 % (1274678)Instructions burned: 21 (million)
% 2.65/1.15 % (1274678)------------------------------
% 2.65/1.15 % (1274678)------------------------------
% 2.65/1.15 % (1274669)Success in time 0.288 s
% 2.65/1.15 % Vampire exiting
%------------------------------------------------------------------------------