%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN216-1 : 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 01:49:56 PM UTC 2026
% Result : Unsatisfiable 3.64s 1.35s
% Output : Refutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 40 ( 13 unt; 5 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 88 ( 45 ~; 38 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 6 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 29 ( 0 sgn 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
m0(e,d,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( s1(X0)
| ~ q0(X0,X1)
| ~ s1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_126) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( l2(X0,X0)
| ~ p0(X1,X1)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_133) ).
fof(f369,negated_conjecture,
~ l2(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f474,definition,
( spl0_31
<=> ! [X1] : ~ s1(X1) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f475,plain,
( ! [X1] : ~ s1(X1)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f693,definition,
( spl0_95
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
fof(f694,plain,
( ! [X0,X1] :
( ~ q0(X0,X1)
| s1(X0) )
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f695,plain,
( spl0_31
| spl0_95 ),
inference(avatar_split_clause,[],[f164,f693,f474]) ).
fof(f1121,definition,
( spl0_214
<=> ! [X2] : ~ p0(X2,X2) ),
introduced(definition,[new_symbols(definition,[spl0_214])],[avatar_definition]) ).
fof(f1122,plain,
( ! [X2] : ~ p0(X2,X2)
| ~ spl0_214 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f1286,definition,
( spl0_259
<=> ! [X2,X0,X3] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_259])],[avatar_definition]) ).
fof(f1287,plain,
( ! [X2,X3,X0] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) )
| ~ spl0_259 ),
inference(avatar_component_clause,[],[f1286]) ).
fof(f1288,plain,
( spl0_214
| spl0_259 ),
inference(avatar_split_clause,[],[f171,f1286,f1121]) ).
fof(f1315,definition,
( spl0_267
<=> l2(a,a) ),
introduced(definition,[new_symbols(definition,[spl0_267])],[avatar_definition]) ).
fof(f1316,plain,
( ~ l2(a,a)
| spl0_267 ),
inference(avatar_component_clause,[],[f1315]) ).
fof(f1389,plain,
~ spl0_267,
inference(avatar_split_clause,[],[f369,f1315]) ).
fof(f1424,plain,
( $false
| ~ spl0_214 ),
inference(resolution,[],[f1122,f14]) ).
fof(f1425,plain,
~ spl0_214,
inference(avatar_contradiction_clause,[],[f1424]) ).
fof(f1503,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f163,f475]) ).
fof(f1504,plain,
( spl0_214
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f1503,f474,f1121]) ).
fof(f1510,plain,
( ! [X0] : s1(X0)
| ~ spl0_95 ),
inference(resolution,[],[f694,f17]) ).
fof(f1644,plain,
( ! [X2,X3,X0] :
( ~ m0(X3,X2,X0)
| l2(X0,X0) )
| ~ spl0_95
| ~ spl0_259 ),
inference(forward_subsumption_resolution,[],[f1287,f1510]) ).
fof(f1750,plain,
( l2(a,a)
| ~ spl0_95
| ~ spl0_259 ),
inference(resolution,[],[f1644,f4]) ).
fof(f1764,plain,
( $false
| ~ spl0_95
| ~ spl0_259
| spl0_267 ),
inference(forward_subsumption_resolution,[],[f1750,f1316]) ).
fof(f1765,plain,
( ~ spl0_95
| ~ spl0_259
| spl0_267 ),
inference(avatar_contradiction_clause,[],[f1764]) ).
cnf(s40,plain,
( spl0_31
| spl0_95 ),
inference(sat_conversion,[],[f695]) ).
cnf(s137,plain,
( spl0_214
| spl0_259 ),
inference(sat_conversion,[],[f1288]) ).
cnf(s153,plain,
~ spl0_267,
inference(sat_conversion,[],[f1389]) ).
cnf(s171,plain,
~ spl0_214,
inference(sat_conversion,[],[f1425]) ).
cnf(s206,plain,
( ~ spl0_31
| spl0_214 ),
inference(sat_conversion,[],[f1504]) ).
cnf(s267,plain,
( ~ spl0_95
| ~ spl0_259
| spl0_267 ),
inference(sat_conversion,[],[f1765]) ).
cnf(s268,plain,
~ spl0_31,
inference(rat,[],[s206,s171]) ).
cnf(s277,plain,
spl0_259,
inference(rat,[],[s137,s171]) ).
cnf(s278,plain,
~ spl0_95,
inference(rat,[],[s267,s153,s277]) ).
cnf(s346,plain,
$false,
inference(rat,[],[s40,s278,s268]) ).
fof(f1766,plain,
$false,
inference(avatar_sat_refutation,[],[s346]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN216-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 % Computer : n013.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 15:38:07 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 Running first-order theorem proving
% 0.09/0.25 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
% 3.64/1.35 % (1281569)Input is clausal, will run a generic CNF schedule.
% 3.64/1.35 % (1281604)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3727954974:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.64/1.35 % (1281603)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3453656986:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.64/1.35 % (1281606)lrs+10_1_sil=8000:sp=occurrence:random_seed=2372130889:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.64/1.35 % (1281608)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3469855099:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.64/1.35 % (1281602)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=2413171294:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.64/1.35 % (1281610)dis-21_1_sil=8000:lcm=predicate:random_seed=1416922277: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)
% 3.64/1.35 % (1281609)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2126072952:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.64/1.35 % (1281608)First to succeed.
% 3.64/1.35 % (1281608)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1281569"
% 3.64/1.35 % (1281609)Also succeeded, but the first one will report.
% 3.64/1.35 % (1281610)Also succeeded, but the first one will report.
% 3.64/1.35 % (1281606)Also succeeded, but the first one will report.
% 3.64/1.35 % (1281608)Refutation found. Thanks to Tanya!
% 3.64/1.35 % SZS status Unsatisfiable for theBenchmark
% 3.64/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 3.64/1.35 % (1281608)------------------------------
% 3.64/1.35 % (1281608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.35 % (1281608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.35 % (1281608)CaDiCaL version: 2.1.3
% 3.64/1.35 % (1281608)Termination reason: Refutation
% 3.64/1.35 % (1281608)Time elapsed: 0.015 s
% 3.64/1.35 % (1281608)Peak memory usage: 89 MB
% 3.64/1.35 % (1281608)Instructions burned: 24 (million)
% 3.64/1.35 % (1281608)------------------------------
% 3.64/1.35 % (1281608)------------------------------
% 3.64/1.35 % (1281569)Success in time 0.412 s
% 3.64/1.35 % Vampire exiting
%------------------------------------------------------------------------------