%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN249-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 01:50:01 PM UTC 2026
% Result : Unsatisfiable 3.67s 1.31s
% Output : Refutation 3.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 11 unt; 3 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 55 ( 27 ~; 25 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).
fof(f39,axiom,
! [X0,X1] :
( k1(X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).
fof(f72,axiom,
! [X0,X1] :
( m1(X0,X1,X1)
| ~ k1(a)
| ~ k1(X1)
| ~ q0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_034) ).
fof(f369,negated_conjecture,
~ m1(d,e,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f1048,definition,
( spl0_192
<=> k1(a) ),
introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).
fof(f1049,plain,
( ~ k1(a)
| spl0_192 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f1051,definition,
( spl0_193
<=> ! [X0,X1] :
( m1(X0,X1,X1)
| ~ q0(X0,X0)
| ~ k1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).
fof(f1052,plain,
( ! [X0,X1] :
( ~ k1(X1)
| ~ q0(X0,X0)
| m1(X0,X1,X1) )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f1051]) ).
fof(f1053,plain,
( ~ spl0_192
| spl0_193 ),
inference(avatar_split_clause,[],[f72,f1051,f1048]) ).
fof(f1284,definition,
( spl0_258
<=> m1(d,e,e) ),
introduced(definition,[new_symbols(definition,[spl0_258])],[avatar_definition]) ).
fof(f1285,plain,
( ~ m1(d,e,e)
| spl0_258 ),
inference(avatar_component_clause,[],[f1284]) ).
fof(f1409,plain,
~ spl0_258,
inference(avatar_split_clause,[],[f369,f1284]) ).
fof(f1741,plain,
( ! [X0] : ~ n0(X0,a)
| spl0_192 ),
inference(resolution,[],[f1049,f39]) ).
fof(f1757,plain,
( $false
| spl0_192 ),
inference(resolution,[],[f1741,f37]) ).
fof(f1758,plain,
spl0_192,
inference(avatar_contradiction_clause,[],[f1757]) ).
fof(f1803,plain,
( ! [X2,X0,X1] :
( ~ n0(X2,X1)
| m1(X0,X1,X1)
| ~ q0(X0,X0) )
| ~ spl0_193 ),
inference(resolution,[],[f1052,f39]) ).
fof(f1863,plain,
( ! [X0] :
( ~ q0(X0,X0)
| m1(X0,e,e) )
| ~ spl0_193 ),
inference(resolution,[],[f1803,f3]) ).
fof(f1917,plain,
( m1(d,e,e)
| ~ spl0_193 ),
inference(resolution,[],[f1863,f17]) ).
fof(f1936,plain,
( $false
| ~ spl0_193
| spl0_258 ),
inference(resolution,[],[f1917,f1285]) ).
fof(f1937,plain,
( ~ spl0_193
| spl0_258 ),
inference(avatar_contradiction_clause,[],[f1936]) ).
cnf(s102,plain,
( ~ spl0_192
| spl0_193 ),
inference(sat_conversion,[],[f1053]) ).
cnf(s155,plain,
~ spl0_258,
inference(sat_conversion,[],[f1409]) ).
cnf(s231,plain,
spl0_192,
inference(sat_conversion,[],[f1758]) ).
cnf(s260,plain,
( ~ spl0_193
| spl0_258 ),
inference(sat_conversion,[],[f1937]) ).
cnf(s264,plain,
~ spl0_193,
inference(rat,[],[s260,s155]) ).
cnf(s298,plain,
$false,
inference(rat,[],[s102,s264,s231]) ).
fof(f1938,plain,
$false,
inference(avatar_sat_refutation,[],[s298]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN249-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n018.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 15:41:26 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 3.67/1.31 % (3495932)Input is clausal, will run a generic CNF schedule.
% 3.67/1.31 % (3495967)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1210424273:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.67/1.31 % (3495966)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=901754413:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.67/1.31 % (3495972)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=812265730:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.67/1.31 % (3495969)lrs+10_1_sil=8000:sp=occurrence:random_seed=1400580173:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.67/1.31 % (3495971)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4293014332:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.67/1.31 % (3495965)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=2465054250:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.67/1.31 % (3495974)dis-21_1_sil=8000:lcm=predicate:random_seed=2652649172: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)
% 3.67/1.31 % (3495969)Refutation not found, incomplete strategy
% 3.67/1.31 % (3495969)------------------------------
% 3.67/1.31 % (3495969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.31 % (3495969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.31 % (3495969)CaDiCaL version: 2.1.3
% 3.67/1.31 % (3495969)Termination reason: Refutation not found, incomplete strategy
% 3.67/1.31 % (3495969)Time elapsed: 0.002 s
% 3.67/1.31 % (3495969)Peak memory usage: 88 MB
% 3.67/1.31 % (3495969)Instructions burned: 1 (million)
% 3.67/1.31 % (3495974)First to succeed.
% 3.67/1.31 % (3495972)Also succeeded, but the first one will report.
% 3.67/1.31 % (3495974)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3495932"
% 3.67/1.31 % (3495971)Also succeeded, but the first one will report.
% 3.67/1.31 % (3495969)------------------------------
% 3.67/1.31 % (3495969)------------------------------
% 3.67/1.31 % (3495974)Refutation found. Thanks to Tanya!
% 3.67/1.31 % SZS status Unsatisfiable for theBenchmark
% 3.67/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 3.67/1.31 % (3495974)------------------------------
% 3.67/1.31 % (3495974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.31 % (3495974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.31 % (3495974)CaDiCaL version: 2.1.3
% 3.67/1.31 % (3495974)Termination reason: Refutation
% 3.67/1.31 % (3495974)Time elapsed: 0.018 s
% 3.67/1.31 % (3495974)Peak memory usage: 90 MB
% 3.67/1.31 % (3495974)Instructions burned: 28 (million)
% 3.67/1.31 % (3495974)------------------------------
% 3.67/1.31 % (3495974)------------------------------
% 3.67/1.31 % (3495932)Success in time 0.418 s
% 3.67/1.31 % Vampire exiting
%------------------------------------------------------------------------------