%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN135-1 : 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 : n005.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 01:49:44 PM UTC 2026
% Result : Unsatisfiable 4.14s 1.37s
% Output : Refutation 4.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 10 unt; 3 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 22 ~; 18 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
fof(f126,axiom,
( p1(a,a,a)
| ~ l0(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_088) ).
fof(f175,axiom,
! [X2,X0,X1] :
( n2(X0)
| ~ p1(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_137) ).
fof(f274,axiom,
! [X0] :
( m3(X0,X0,X0)
| ~ n2(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_236) ).
fof(f369,negated_conjecture,
! [X0,X1] : ~ m3(X0,X1,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f1141,definition,
( spl0_218
<=> ! [X0] :
( m3(X0,X0,X0)
| ~ n2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_218])],[avatar_definition]) ).
fof(f1142,plain,
( ! [X0] :
( ~ n2(X0)
| m3(X0,X0,X0) )
| ~ spl0_218 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f1149,plain,
spl0_218,
inference(avatar_split_clause,[],[f274,f1141]) ).
fof(f1179,definition,
( spl0_228
<=> l0(a) ),
introduced(definition,[new_symbols(definition,[spl0_228])],[avatar_definition]) ).
fof(f1180,plain,
( ~ l0(a)
| spl0_228 ),
inference(avatar_component_clause,[],[f1179]) ).
fof(f1238,definition,
( spl0_245
<=> p1(a,a,a) ),
introduced(definition,[new_symbols(definition,[spl0_245])],[avatar_definition]) ).
fof(f1239,plain,
( p1(a,a,a)
| ~ spl0_245 ),
inference(avatar_component_clause,[],[f1238]) ).
fof(f1256,plain,
( ~ spl0_228
| spl0_245 ),
inference(avatar_split_clause,[],[f126,f1238,f1179]) ).
fof(f1423,plain,
( $false
| spl0_228 ),
inference(resolution,[],[f1180,f20]) ).
fof(f1424,plain,
spl0_228,
inference(avatar_contradiction_clause,[],[f1423]) ).
fof(f2024,plain,
( ! [X2,X0,X1] :
( m3(X2,X2,X2)
| ~ p1(X0,X1,X2) )
| ~ spl0_218 ),
inference(resolution,[],[f175,f1142]) ).
fof(f2025,plain,
( ! [X0,X1] : ~ p1(X0,X1,a)
| ~ spl0_218 ),
inference(resolution,[],[f2024,f369]) ).
fof(f2034,plain,
( $false
| ~ spl0_218
| ~ spl0_245 ),
inference(resolution,[],[f2025,f1239]) ).
fof(f2037,plain,
( ~ spl0_218
| ~ spl0_245 ),
inference(avatar_contradiction_clause,[],[f2034]) ).
cnf(s119,plain,
spl0_218,
inference(sat_conversion,[],[f1149]) ).
cnf(s135,plain,
( ~ spl0_228
| spl0_245 ),
inference(sat_conversion,[],[f1256]) ).
cnf(s162,plain,
spl0_228,
inference(sat_conversion,[],[f1424]) ).
cnf(s278,plain,
( ~ spl0_218
| ~ spl0_245 ),
inference(sat_conversion,[],[f2037]) ).
cnf(s290,plain,
spl0_245,
inference(rat,[],[s135,s162]) ).
cnf(s291,plain,
~ spl0_218,
inference(rat,[],[s278,s290]) ).
cnf(s302,plain,
$false,
inference(rat,[],[s119,s291]) ).
fof(f2038,plain,
$false,
inference(avatar_sat_refutation,[],[s302]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN135-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n005.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 15:36:31 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 4.14/1.37 % (876480)Input is clausal, will run a generic CNF schedule.
% 4.14/1.37 % (876491)dis-21_1_sil=8000:lcm=predicate:random_seed=3944909809: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)
% 4.14/1.37 % (876491)First to succeed.
% 4.14/1.37 % (876491)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-876480"
% 4.14/1.37 % (876486)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=885063670:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.14/1.37 % (876485)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=449428733:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.14/1.37 % (876487)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=199420517:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.14/1.37 % (876488)lrs+10_1_sil=8000:sp=occurrence:random_seed=1083592185:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.14/1.37 % (876489)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2425905220:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.14/1.37 % (876488)Also succeeded, but the first one will report.
% 4.14/1.37 % (876490)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=743760042:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.14/1.37 % (876489)Also succeeded, but the first one will report.
% 4.14/1.37 % (876490)Also succeeded, but the first one will report.
% 4.14/1.37 % (876491)Refutation found. Thanks to Tanya!
% 4.14/1.37 % SZS status Unsatisfiable for theBenchmark
% 4.14/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 4.14/1.37 % (876491)------------------------------
% 4.14/1.37 % (876491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.37 % (876491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.37 % (876491)CaDiCaL version: 2.1.3
% 4.14/1.37 % (876491)Termination reason: Refutation
% 4.14/1.37 % (876491)Time elapsed: 0.019 s
% 4.14/1.37 % (876491)Peak memory usage: 90 MB
% 4.14/1.37 % (876491)Instructions burned: 30 (million)
% 4.14/1.37 % (876491)------------------------------
% 4.14/1.37 % (876491)------------------------------
% 4.14/1.37 % (876480)Success in time 0.519 s
% 4.14/1.37 % Vampire exiting
%------------------------------------------------------------------------------