%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN234-1 : 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 : n017.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 01:49:59 PM UTC 2026
% Result : Unsatisfiable 3.60s 1.19s
% Output : Refutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 13 unt; 3 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 56 ( 31 ~; 22 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 4 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
fof(f59,axiom,
! [X0,X1] :
( m1(X0,X1,X0)
| ~ l0(X0)
| ~ k0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_021) ).
fof(f214,axiom,
! [X0,X1] :
( p2(X0,X1,X0)
| ~ m1(X1,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_176) ).
fof(f253,axiom,
! [X0,X1] :
( l3(X0,X1)
| ~ r0(X0)
| ~ p2(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_215) ).
fof(f369,negated_conjecture,
~ l3(e,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f790,definition,
( spl0_107
<=> r0(e) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
fof(f791,plain,
( r0(e)
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f1186,definition,
( spl0_205
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_205])],[avatar_definition]) ).
fof(f1187,plain,
( k0(e)
| ~ spl0_205 ),
inference(avatar_component_clause,[],[f1186]) ).
fof(f1276,definition,
( spl0_227
<=> l0(a) ),
introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).
fof(f1277,plain,
( l0(a)
| ~ spl0_227 ),
inference(avatar_component_clause,[],[f1276]) ).
fof(f1556,plain,
spl0_205,
inference(avatar_split_clause,[],[f28,f1186]) ).
fof(f1560,plain,
spl0_227,
inference(avatar_split_clause,[],[f20,f1276]) ).
fof(f1562,plain,
spl0_107,
inference(avatar_split_clause,[],[f13,f790]) ).
fof(f1598,plain,
( ~ r0(e)
| ~ p2(e,a,e) ),
inference(resolution,[],[f253,f369]) ).
fof(f1599,plain,
( ~ p2(e,a,e)
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[],[f1598,f791]) ).
fof(f1986,plain,
( ~ m1(a,e,a)
| ~ spl0_107 ),
inference(resolution,[],[f214,f1599]) ).
fof(f1990,plain,
( ~ l0(a)
| ~ k0(e)
| ~ spl0_107 ),
inference(resolution,[],[f1986,f59]) ).
fof(f1992,plain,
( ~ k0(e)
| ~ spl0_107
| ~ spl0_227 ),
inference(forward_subsumption_resolution,[],[f1990,f1277]) ).
fof(f1993,plain,
( $false
| ~ spl0_107
| ~ spl0_205
| ~ spl0_227 ),
inference(forward_subsumption_resolution,[],[f1992,f1187]) ).
fof(f1994,plain,
( ~ spl0_107
| ~ spl0_205
| ~ spl0_227 ),
inference(avatar_contradiction_clause,[],[f1993]) ).
cnf(s156,plain,
spl0_205,
inference(sat_conversion,[],[f1556]) ).
cnf(s160,plain,
spl0_227,
inference(sat_conversion,[],[f1560]) ).
cnf(s162,plain,
spl0_107,
inference(sat_conversion,[],[f1562]) ).
cnf(s279,plain,
( ~ spl0_107
| ~ spl0_205
| ~ spl0_227 ),
inference(sat_conversion,[],[f1994]) ).
cnf(s288,plain,
~ spl0_205,
inference(rat,[],[s279,s162,s160]) ).
cnf(s290,plain,
$false,
inference(rat,[],[s156,s288]) ).
fof(f1995,plain,
$false,
inference(avatar_sat_refutation,[],[s290]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN234-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n017.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 15:34:06 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running first-order theorem proving
% 0.10/0.22 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
% 3.60/1.19 % (3647381)Input is clausal, will run a generic CNF schedule.
% 3.60/1.19 % (3647434)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=815019906:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.60/1.19 % (3647439)dis-21_1_sil=8000:lcm=predicate:random_seed=2507748303: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)
% 3.60/1.19 % (3647433)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=4107093521:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.60/1.19 % (3647437)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1405299572:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.60/1.19 % (3647436)lrs+10_1_sil=8000:sp=occurrence:random_seed=309538841:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.60/1.19 % (3647435)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1166030044:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.60/1.19 % (3647438)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3692318431:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.60/1.19 % (3647438)First to succeed.
% 3.60/1.19 % (3647438)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3647381"
% 3.60/1.19 % (3647437)Also succeeded, but the first one will report.
% 3.60/1.19 % (3647436)Also succeeded, but the first one will report.
% 3.60/1.19 % (3647439)Instruction limit reached!
% 3.60/1.19 % (3647439)------------------------------
% 3.60/1.19 % (3647439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.19 % (3647439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.19 % (3647439)CaDiCaL version: 2.1.3
% 3.60/1.19 % (3647439)Termination reason: Instruction limit
% 3.60/1.19 % (3647439)Termination phase: Saturation
% 3.60/1.19 % (3647439)Time elapsed: 0.055 s
% 3.60/1.19 % (3647439)Peak memory usage: 89 MB
% 3.60/1.19 % (3647439)Instructions burned: 118 (million)
% 3.60/1.19 % (3647447)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=1585112020:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.60/1.19 % (3647447)Refutation not found, incomplete strategy
% 3.60/1.19 % (3647447)------------------------------
% 3.60/1.19 % (3647447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.19 % (3647447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.19 % (3647447)CaDiCaL version: 2.1.3
% 3.60/1.19 % (3647447)Termination reason: Refutation not found, incomplete strategy
% 3.60/1.19 % (3647447)Time elapsed: 0.002 s
% 3.60/1.19 % (3647447)Peak memory usage: 87 MB
% 3.60/1.19 % (3647447)Instructions burned: 2 (million)
% 3.60/1.19 % (3647438)Refutation found. Thanks to Tanya!
% 3.60/1.19 % SZS status Unsatisfiable for theBenchmark
% 3.60/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 3.60/1.19 % (3647438)------------------------------
% 3.60/1.19 % (3647438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.19 % (3647438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.19 % (3647438)CaDiCaL version: 2.1.3
% 3.60/1.19 % (3647438)Termination reason: Refutation
% 3.60/1.19 % (3647438)Time elapsed: 0.021 s
% 3.60/1.19 % (3647438)Peak memory usage: 90 MB
% 3.60/1.19 % (3647438)Instructions burned: 31 (million)
% 3.60/1.19 % (3647438)------------------------------
% 3.60/1.19 % (3647438)------------------------------
% 3.60/1.19 % (3647381)Success in time 0.435 s
% 3.60/1.19 % Vampire exiting
%------------------------------------------------------------------------------