%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN210-1 : 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 : n009.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 01:49:55 PM UTC 2026
% Result : Unsatisfiable 2.92s 1.44s
% Output : Refutation 2.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 50 ( 15 unt; 6 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 96 ( 50 ~; 40 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 7 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 25 ( 0 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
fof(f33,axiom,
q0(d,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_33) ).
fof(f40,axiom,
! [X0,X1] :
( l1(X0,X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_002) ).
fof(f168,axiom,
( k2(e,e)
| ~ l1(e,e) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_130) ).
fof(f290,axiom,
! [X2,X0,X1] :
( p3(X0,X0,X0)
| ~ q0(X1,X0)
| ~ k2(X2,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_252) ).
fof(f337,axiom,
! [X2,X3,X0,X1] :
( ~ p3(X1,X2,X3)
| s4(X0)
| ~ l1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_299) ).
fof(f369,negated_conjecture,
~ s4(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f626,definition,
( spl0_66
<=> ! [X2] : ~ k2(X2,X2) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f627,plain,
( ! [X2] : ~ k2(X2,X2)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f629,definition,
( spl0_67
<=> ! [X0,X1] :
( p3(X0,X0,X0)
| ~ q0(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f630,plain,
( ! [X0,X1] :
( p3(X0,X0,X0)
| ~ q0(X1,X0) )
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f631,plain,
( spl0_66
| spl0_67 ),
inference(avatar_split_clause,[],[f290,f629,f626]) ).
fof(f1148,definition,
( spl0_196
<=> l1(e,e) ),
introduced(definition,[new_symbols(definition,[spl0_196])],[avatar_definition]) ).
fof(f1150,plain,
( ~ l1(e,e)
| spl0_196 ),
inference(avatar_component_clause,[],[f1148]) ).
fof(f1152,definition,
( spl0_197
<=> k2(e,e) ),
introduced(definition,[new_symbols(definition,[spl0_197])],[avatar_definition]) ).
fof(f1154,plain,
( k2(e,e)
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f1152]) ).
fof(f1155,plain,
( ~ spl0_196
| spl0_197 ),
inference(avatar_split_clause,[],[f168,f1152,f1148]) ).
fof(f1528,definition,
( spl0_287
<=> l1(c,c) ),
introduced(definition,[new_symbols(definition,[spl0_287])],[avatar_definition]) ).
fof(f1529,plain,
( l1(c,c)
| ~ spl0_287 ),
inference(avatar_component_clause,[],[f1528]) ).
fof(f1530,plain,
( ~ l1(c,c)
| spl0_287 ),
inference(avatar_component_clause,[],[f1528]) ).
fof(f1708,plain,
( ! [X0] : ~ n0(X0,e)
| spl0_196 ),
inference(resolution,[],[f40,f1150]) ).
fof(f1709,plain,
( ! [X0] : ~ n0(X0,c)
| spl0_287 ),
inference(resolution,[],[f40,f1530]) ).
fof(f1710,plain,
( $false
| spl0_196 ),
inference(resolution,[],[f1708,f3]) ).
fof(f1713,plain,
spl0_196,
inference(avatar_contradiction_clause,[],[f1710]) ).
fof(f1714,plain,
( $false
| ~ spl0_66
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f1154,f627]) ).
fof(f1715,plain,
( ~ spl0_66
| ~ spl0_197 ),
inference(avatar_contradiction_clause,[],[f1714]) ).
fof(f1719,plain,
( $false
| spl0_287 ),
inference(resolution,[],[f1709,f26]) ).
fof(f1720,plain,
spl0_287,
inference(avatar_contradiction_clause,[],[f1719]) ).
fof(f1885,plain,
( ! [X2,X0,X1] :
( s4(X2)
| ~ q0(X0,X1)
| ~ l1(X2,X1) )
| ~ spl0_67 ),
inference(resolution,[],[f630,f337]) ).
fof(f1912,definition,
( spl0_305
<=> ! [X0] : ~ q0(X0,c) ),
introduced(definition,[new_symbols(definition,[spl0_305])],[avatar_definition]) ).
fof(f1913,plain,
( ! [X0] : ~ q0(X0,c)
| ~ spl0_305 ),
inference(avatar_component_clause,[],[f1912]) ).
fof(f2082,plain,
( ! [X0,X1] :
( ~ l1(c,X1)
| ~ q0(X0,X1) )
| ~ spl0_67 ),
inference(resolution,[],[f1885,f369]) ).
fof(f2086,plain,
( ! [X0] : ~ q0(X0,c)
| ~ spl0_67
| ~ spl0_287 ),
inference(resolution,[],[f2082,f1529]) ).
fof(f2094,plain,
( spl0_305
| ~ spl0_67
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f2086,f1528,f629,f1912]) ).
fof(f2096,plain,
( $false
| ~ spl0_305 ),
inference(resolution,[],[f1913,f33]) ).
fof(f2097,plain,
~ spl0_305,
inference(avatar_contradiction_clause,[],[f2096]) ).
cnf(s29,plain,
( spl0_66
| spl0_67 ),
inference(sat_conversion,[],[f631]) ).
cnf(s90,plain,
( ~ spl0_196
| spl0_197 ),
inference(sat_conversion,[],[f1155]) ).
cnf(s223,plain,
spl0_196,
inference(sat_conversion,[],[f1713]) ).
cnf(s224,plain,
( ~ spl0_66
| ~ spl0_197 ),
inference(sat_conversion,[],[f1715]) ).
cnf(s226,plain,
spl0_287,
inference(sat_conversion,[],[f1720]) ).
cnf(s301,plain,
( ~ spl0_67
| ~ spl0_287
| spl0_305 ),
inference(sat_conversion,[],[f2094]) ).
cnf(s303,plain,
~ spl0_305,
inference(sat_conversion,[],[f2097]) ).
cnf(s305,plain,
( ~ spl0_67
| ~ spl0_287 ),
inference(rat,[],[s301,s303]) ).
cnf(s310,plain,
~ spl0_67,
inference(rat,[],[s305,s226]) ).
cnf(s391,plain,
spl0_197,
inference(rat,[],[s90,s223]) ).
cnf(s392,plain,
~ spl0_66,
inference(rat,[],[s224,s391]) ).
cnf(s440,plain,
$false,
inference(rat,[],[s29,s310,s392]) ).
fof(f2098,plain,
$false,
inference(avatar_sat_refutation,[],[s440]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN210-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.28 % Computer : n009.cluster.edu
% 0.11/0.28 % Model : x86_64 x86_64
% 0.11/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.28 % Memory : 8046.5625MB
% 0.11/0.28 % OS : Linux 6.8.0-71-generic
% 0.11/0.28 % CPULimit : 300
% 0.11/0.28 % WCLimit : 300
% 0.11/0.28 % DateTime : Mon Sep 28 15:38:15 UTC 2026
% 0.11/0.28 % CPUTime :
% 0.11/0.28 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.28/0.33 Running first-order theorem proving
% 0.28/0.33 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
% 2.92/1.44 % (3164173)Input is clausal, will run a generic CNF schedule.
% 2.92/1.44 % (3164192)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3045419267:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.92/1.44 % (3164192)First to succeed.
% 2.92/1.44 % (3164192)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3164173"
% 2.92/1.44 % (3164188)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2791233907:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.92/1.44 % (3164187)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=130696227:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.92/1.44 % (3164189)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=473450456:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.92/1.44 % (3164191)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2625072644:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.92/1.44 % (3164193)dis-21_1_sil=8000:lcm=predicate:random_seed=3720504391: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)
% 2.92/1.44 % (3164191)Also succeeded, but the first one will report.
% 2.92/1.44 % (3164190)lrs+10_1_sil=8000:sp=occurrence:random_seed=2659247744:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.92/1.44 % (3164190)Refutation not found, incomplete strategy
% 2.92/1.44 % (3164190)------------------------------
% 2.92/1.44 % (3164190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.44 % (3164190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.44 % (3164190)CaDiCaL version: 2.1.3
% 2.92/1.44 % (3164190)Termination reason: Refutation not found, incomplete strategy
% 2.92/1.44 % (3164190)Time elapsed: 0.021 s
% 2.92/1.44 % (3164190)Peak memory usage: 89 MB
% 2.92/1.44 % (3164190)Instructions burned: 29 (million)
% 2.92/1.44 % (3164193)Instruction limit reached!
% 2.92/1.44 % (3164193)------------------------------
% 2.92/1.44 % (3164193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.44 % (3164193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.44 % (3164193)CaDiCaL version: 2.1.3
% 2.92/1.44 % (3164193)Termination reason: Instruction limit
% 2.92/1.44 % (3164193)Termination phase: Saturation
% 2.92/1.44 % (3164193)Time elapsed: 0.055 s
% 2.92/1.44 % (3164193)Peak memory usage: 89 MB
% 2.92/1.44 % (3164193)Instructions burned: 118 (million)
% 2.92/1.44 % (3164192)Refutation found. Thanks to Tanya!
% 2.92/1.44 % SZS status Unsatisfiable for theBenchmark
% 2.92/1.44 % SZS output start Proof for theBenchmark
% See solution above
% 2.92/1.44 % (3164192)------------------------------
% 2.92/1.44 % (3164192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.44 % (3164192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.44 % (3164192)CaDiCaL version: 2.1.3
% 2.92/1.44 % (3164192)Termination reason: Refutation
% 2.92/1.44 % (3164192)Time elapsed: 0.013 s
% 2.92/1.44 % (3164192)Peak memory usage: 90 MB
% 2.92/1.44 % (3164192)Instructions burned: 34 (million)
% 2.92/1.44 % (3164192)------------------------------
% 2.92/1.44 % (3164192)------------------------------
% 2.92/1.44 % (3164173)Success in time 0.301 s
% 2.92/1.44 % Vampire exiting
%------------------------------------------------------------------------------