%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN262-1 : 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 01:50:02 PM UTC 2026
% Result : Unsatisfiable 0.20s 1.31s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 13 unt; 4 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 52 ( 28 ~; 20 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(f22,axiom,
p0(b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
fof(f107,axiom,
! [X0,X1] :
( p1(X0,X0,X1)
| ~ p0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_069) ).
fof(f109,axiom,
! [X2,X3,X0,X1] :
( p1(X0,X1,X0)
| ~ l0(X2)
| ~ p1(X1,X3,X0)
| ~ s0(b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_071) ).
fof(f369,negated_conjecture,
~ p1(b,c,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f1170,definition,
( spl0_201
<=> s0(b) ),
introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).
fof(f1239,definition,
( spl0_218
<=> ! [X1] : ~ l0(X1) ),
introduced(definition,[new_symbols(definition,[spl0_218])],[avatar_definition]) ).
fof(f1240,plain,
( ! [X1] : ~ l0(X1)
| ~ spl0_218 ),
inference(avatar_component_clause,[],[f1239]) ).
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(f1348,definition,
( spl0_244
<=> ! [X0,X1,X3] :
( p1(X0,X1,X0)
| ~ p1(X1,X3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_244])],[avatar_definition]) ).
fof(f1349,plain,
( ! [X3,X0,X1] :
( p1(X0,X1,X0)
| ~ p1(X1,X3,X0) )
| ~ spl0_244 ),
inference(avatar_component_clause,[],[f1348]) ).
fof(f1350,plain,
( ~ spl0_201
| spl0_218
| spl0_244 ),
inference(avatar_split_clause,[],[f109,f1348,f1239,f1170]) ).
fof(f1560,plain,
spl0_227,
inference(avatar_split_clause,[],[f20,f1276]) ).
fof(f1567,plain,
spl0_201,
inference(avatar_split_clause,[],[f5,f1170]) ).
fof(f1582,plain,
( $false
| ~ spl0_218
| ~ spl0_227 ),
inference(resolution,[],[f1240,f1277]) ).
fof(f1583,plain,
( ~ spl0_218
| ~ spl0_227 ),
inference(avatar_contradiction_clause,[],[f1582]) ).
fof(f1610,plain,
( ! [X0] : ~ p1(c,X0,b)
| ~ spl0_244 ),
inference(resolution,[],[f1349,f369]) ).
fof(f1611,plain,
( ~ p0(b,c)
| ~ spl0_244 ),
inference(resolution,[],[f1610,f107]) ).
fof(f1612,plain,
( $false
| ~ spl0_244 ),
inference(forward_subsumption_resolution,[],[f1611,f22]) ).
fof(f1613,plain,
~ spl0_244,
inference(avatar_contradiction_clause,[],[f1612]) ).
cnf(s122,plain,
( ~ spl0_201
| spl0_218
| spl0_244 ),
inference(sat_conversion,[],[f1350]) ).
cnf(s160,plain,
spl0_227,
inference(sat_conversion,[],[f1560]) ).
cnf(s167,plain,
spl0_201,
inference(sat_conversion,[],[f1567]) ).
cnf(s175,plain,
( ~ spl0_218
| ~ spl0_227 ),
inference(sat_conversion,[],[f1583]) ).
cnf(s184,plain,
~ spl0_244,
inference(sat_conversion,[],[f1613]) ).
cnf(s187,plain,
~ spl0_218,
inference(rat,[],[s175,s160]) ).
cnf(s203,plain,
$false,
inference(rat,[],[s122,s184,s187,s167]) ).
fof(f1614,plain,
$false,
inference(avatar_sat_refutation,[],[s203]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN262-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n013.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 15:39:41 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 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
% 0.20/1.31 % (1284004)Input is clausal, will run a generic CNF schedule.
% 0.20/1.31 % (1284151)lrs+10_1_sil=8000:sp=occurrence:random_seed=1033483276:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.20/1.31 % (1284151)Refutation not found, incomplete strategy
% 0.20/1.31 % (1284151)------------------------------
% 0.20/1.31 % (1284151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.31 % (1284151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.31 % (1284151)CaDiCaL version: 2.1.3
% 0.20/1.31 % (1284151)Termination reason: Refutation not found, incomplete strategy
% 0.20/1.31 % (1284151)Time elapsed: 0.002 s
% 0.20/1.31 % (1284151)Peak memory usage: 88 MB
% 0.20/1.31 % (1284151)Instructions burned: 4 (million)
% 0.20/1.31 % (1284149)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=548094435:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.20/1.31 % (1284148)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=3193490122:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.20/1.31 % (1284150)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2869416626:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.20/1.31 % (1284154)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2156517773:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.20/1.31 % (1284153)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2111446867:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.20/1.31 % (1284155)dis-21_1_sil=8000:lcm=predicate:random_seed=43494513: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)
% 0.20/1.31 % (1284154)First to succeed.
% 0.20/1.31 % (1284154)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1284004"
% 0.20/1.31 % (1284153)Also succeeded, but the first one will report.
% 0.20/1.31 % (1284155)Also succeeded, but the first one will report.
% 0.20/1.31 % (1284151)------------------------------
% 0.20/1.31 % (1284151)------------------------------
% 0.20/1.31 % (1284230)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=642656358:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.20/1.31 % (1284230)Refutation not found, incomplete strategy
% 0.20/1.31 % (1284230)------------------------------
% 0.20/1.31 % (1284230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.31 % (1284230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.31 % (1284230)CaDiCaL version: 2.1.3
% 0.20/1.31 % (1284230)Termination reason: Refutation not found, incomplete strategy
% 0.20/1.31 % (1284230)Time elapsed: 0.001 s
% 0.20/1.31 % (1284230)Peak memory usage: 87 MB
% 0.20/1.31 % (1284230)Instructions burned: 1 (million)
% 0.20/1.31 % (1284154)Refutation found. Thanks to Tanya!
% 0.20/1.31 % SZS status Unsatisfiable for theBenchmark
% 0.20/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.31 % (1284154)------------------------------
% 0.20/1.31 % (1284154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.31 % (1284154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.31 % (1284154)CaDiCaL version: 2.1.3
% 0.20/1.31 % (1284154)Termination reason: Refutation
% 0.20/1.31 % (1284154)Time elapsed: 0.011 s
% 0.20/1.31 % (1284154)Peak memory usage: 90 MB
% 0.20/1.31 % (1284154)Instructions burned: 15 (million)
% 0.20/1.31 % (1284154)------------------------------
% 0.20/1.31 % (1284154)------------------------------
% 0.20/1.31 % (1284004)Success in time 0.437 s
% 0.20/1.31 % Vampire exiting
%------------------------------------------------------------------------------