%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN251-1 : 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 : n007.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 0.23s 1.50s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 9 unt; 2 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 17 ~; 11 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
fof(f31,axiom,
m0(b,b,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).
fof(f53,axiom,
! [X2,X0,X1] :
( m1(X0,X1,X1)
| ~ l0(X2)
| ~ m0(X1,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_015) ).
fof(f369,negated_conjecture,
~ m1(e,b,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f1006,definition,
( spl0_183
<=> ! [X2] : ~ l0(X2) ),
introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).
fof(f1007,plain,
( ! [X2] : ~ l0(X2)
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f1009,definition,
( spl0_184
<=> ! [X0,X1] :
( m1(X0,X1,X1)
| ~ m0(X1,X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
fof(f1010,plain,
( ! [X0,X1] :
( m1(X0,X1,X1)
| ~ m0(X1,X1,X0) )
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f1011,plain,
( spl0_183
| spl0_184 ),
inference(avatar_split_clause,[],[f53,f1009,f1006]) ).
fof(f1401,plain,
( $false
| ~ spl0_183 ),
inference(resolution,[],[f1007,f20]) ).
fof(f1404,plain,
~ spl0_183,
inference(avatar_contradiction_clause,[],[f1401]) ).
fof(f1926,plain,
( ~ m0(b,b,e)
| ~ spl0_184 ),
inference(resolution,[],[f1010,f369]) ).
fof(f1927,plain,
( $false
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f1926,f31]) ).
fof(f1928,plain,
~ spl0_184,
inference(avatar_contradiction_clause,[],[f1927]) ).
cnf(s86,plain,
( spl0_183
| spl0_184 ),
inference(sat_conversion,[],[f1011]) ).
cnf(s160,plain,
~ spl0_183,
inference(sat_conversion,[],[f1404]) ).
cnf(s295,plain,
~ spl0_184,
inference(sat_conversion,[],[f1928]) ).
cnf(s355,plain,
$false,
inference(rat,[],[s86,s295,s160]) ).
fof(f1929,plain,
$false,
inference(avatar_sat_refutation,[],[s355]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN251-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n007.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 15:37:11 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running first-order theorem proving
% 0.10/0.24 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
% 0.23/1.50 % (2504441)Input is clausal, will run a generic CNF schedule.
% 0.23/1.50 % (2504576)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=3603607199:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.23/1.50 % (2504577)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3344428049:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.23/1.50 % (2504580)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=325339397:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.23/1.50 % (2504578)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1233158808:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.23/1.50 % (2504579)lrs+10_1_sil=8000:sp=occurrence:random_seed=2208853230:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.23/1.50 % (2504579)Refutation not found, incomplete strategy
% 0.23/1.50 % (2504579)------------------------------
% 0.23/1.50 % (2504579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.23/1.50 % (2504579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/1.50 % (2504579)CaDiCaL version: 2.1.3
% 0.23/1.50 % (2504579)Termination reason: Refutation not found, incomplete strategy
% 0.23/1.50 % (2504579)Time elapsed: 0.002 s
% 0.23/1.50 % (2504579)Peak memory usage: 87 MB
% 0.23/1.50 % (2504579)Instructions burned: 1 (million)
% 0.23/1.50 % (2504581)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3385766045:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.23/1.50 % (2504582)dis-21_1_sil=8000:lcm=predicate:random_seed=2758844747: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)
% 0.23/1.50 % (2504580)First to succeed.
% 0.23/1.50 % (2504580)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2504441"
% 0.23/1.50 % (2504581)Also succeeded, but the first one will report.
% 0.23/1.50 % (2504582)Also succeeded, but the first one will report.
% 0.23/1.50 % (2504579)------------------------------
% 0.23/1.50 % (2504579)------------------------------
% 0.23/1.50 % (2504598)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=359559546:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 0.23/1.50 % (2504598)Refutation not found, incomplete strategy
% 0.23/1.50 % (2504598)------------------------------
% 0.23/1.50 % (2504598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.23/1.50 % (2504598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/1.50 % (2504598)CaDiCaL version: 2.1.3
% 0.23/1.50 % (2504598)Termination reason: Refutation not found, incomplete strategy
% 0.23/1.50 % (2504598)Time elapsed: 0.001 s
% 0.23/1.50 % (2504598)Peak memory usage: 88 MB
% 0.23/1.50 % (2504598)Instructions burned: 1 (million)
% 0.23/1.50 % (2504580)Refutation found. Thanks to Tanya!
% 0.23/1.50 % SZS status Unsatisfiable for theBenchmark
% 0.23/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/1.50 % (2504580)------------------------------
% 0.23/1.50 % (2504580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.23/1.50 % (2504580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/1.50 % (2504580)CaDiCaL version: 2.1.3
% 0.23/1.50 % (2504580)Termination reason: Refutation
% 0.23/1.50 % (2504580)Time elapsed: 0.018 s
% 0.23/1.50 % (2504580)Peak memory usage: 89 MB
% 0.23/1.50 % (2504580)Instructions burned: 28 (million)
% 0.23/1.50 % (2504580)------------------------------
% 0.23/1.50 % (2504580)------------------------------
% 0.23/1.50 % (2504441)Success in time 0.536 s
% 0.23/1.50 % Vampire exiting
%------------------------------------------------------------------------------