%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN218-1 : 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 : n006.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 3.04s 1.25s
% Output : Refutation 3.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 43 ( 12 unt; 5 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 94 ( 48 ~; 41 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 6 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f33,axiom,
q0(d,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_33) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( s1(X0)
| ~ q0(X0,X1)
| ~ s1(X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',rule_133) ).
fof(f369,negated_conjecture,
! [X0] : ~ l2(c,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f602,definition,
( spl0_60
<=> ! [X1] : ~ s1(X1) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f603,plain,
( ! [X1] : ~ s1(X1)
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f867,definition,
( spl0_126
<=> s1(d) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f868,plain,
( s1(d)
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f869,plain,
( ~ s1(d)
| spl0_126 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f1141,definition,
( spl0_194
<=> ! [X1] : ~ p0(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
fof(f1142,plain,
( ! [X1] : ~ p0(X1,X1)
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f1144,definition,
( spl0_195
<=> ! [X2,X0,X3] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_195])],[avatar_definition]) ).
fof(f1145,plain,
( ! [X2,X3,X0] :
( ~ s1(X2)
| l2(X0,X0)
| ~ m0(X3,X2,X0) )
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f1144]) ).
fof(f1146,plain,
( spl0_194
| spl0_195 ),
inference(avatar_split_clause,[],[f171,f1144,f1141]) ).
fof(f1157,definition,
( spl0_198
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).
fof(f1158,plain,
( ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f1157]) ).
fof(f1159,plain,
( spl0_60
| spl0_198 ),
inference(avatar_split_clause,[],[f164,f1157,f602]) ).
fof(f1577,plain,
( $false
| ~ spl0_194 ),
inference(resolution,[],[f14,f1142]) ).
fof(f1578,plain,
~ spl0_194,
inference(avatar_contradiction_clause,[],[f1577]) ).
fof(f1637,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f163,f603]) ).
fof(f1638,plain,
( spl0_194
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f1637,f602,f1141]) ).
fof(f1686,plain,
( ! [X0] : ~ q0(d,X0)
| spl0_126
| ~ spl0_198 ),
inference(resolution,[],[f1158,f869]) ).
fof(f1689,plain,
( $false
| spl0_126
| ~ spl0_198 ),
inference(resolution,[],[f1686,f33]) ).
fof(f1694,plain,
( spl0_126
| ~ spl0_198 ),
inference(avatar_contradiction_clause,[],[f1689]) ).
fof(f1695,plain,
( ! [X0,X1] :
( l2(X0,X0)
| ~ m0(X1,d,X0) )
| ~ spl0_126
| ~ spl0_195 ),
inference(resolution,[],[f868,f1145]) ).
fof(f1696,plain,
( ! [X0] : l2(X0,X0)
| ~ spl0_126
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f1695,f19]) ).
fof(f1710,plain,
( $false
| ~ spl0_126
| ~ spl0_195 ),
inference(resolution,[],[f1696,f369]) ).
fof(f1721,plain,
( ~ spl0_126
| ~ spl0_195 ),
inference(avatar_contradiction_clause,[],[f1710]) ).
cnf(s89,plain,
( spl0_194
| spl0_195 ),
inference(sat_conversion,[],[f1146]) ).
cnf(s91,plain,
( spl0_60
| spl0_198 ),
inference(sat_conversion,[],[f1159]) ).
cnf(s173,plain,
~ spl0_194,
inference(sat_conversion,[],[f1578]) ).
cnf(s194,plain,
( ~ spl0_60
| spl0_194 ),
inference(sat_conversion,[],[f1638]) ).
cnf(s211,plain,
( spl0_126
| ~ spl0_198 ),
inference(sat_conversion,[],[f1694]) ).
cnf(s219,plain,
( ~ spl0_126
| ~ spl0_195 ),
inference(sat_conversion,[],[f1721]) ).
cnf(s221,plain,
~ spl0_60,
inference(rat,[],[s194,s173]) ).
cnf(s273,plain,
spl0_198,
inference(rat,[],[s91,s221]) ).
cnf(s276,plain,
spl0_126,
inference(rat,[],[s211,s273]) ).
cnf(s277,plain,
~ spl0_195,
inference(rat,[],[s219,s276]) ).
cnf(s278,plain,
$false,
inference(rat,[],[s89,s277,s173]) ).
fof(f1724,plain,
$false,
inference(avatar_sat_refutation,[],[s278]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN218-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 % Computer : n006.cluster.edu
% 0.08/0.22 % Model : x86_64 x86_64
% 0.08/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.22 % Memory : 8046.5625MB
% 0.08/0.22 % OS : Linux 6.8.0-71-generic
% 0.08/0.22 % CPULimit : 300
% 0.08/0.22 % WCLimit : 300
% 0.08/0.22 % DateTime : Mon Sep 28 15:38:25 UTC 2026
% 0.08/0.23 % CPUTime :
% 0.08/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.28 Running first-order theorem proving
% 0.27/0.28 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
% 3.04/1.25 % (4068952)Input is clausal, will run a generic CNF schedule.
% 3.04/1.25 % (4068961)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2163003496:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.04/1.25 % (4068963)dis-21_1_sil=8000:lcm=predicate:random_seed=1119028555: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)
% 3.04/1.25 % (4068958)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2848295962:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.04/1.25 % (4068957)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=2040245677:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.04/1.25 % (4068960)lrs+10_1_sil=8000:sp=occurrence:random_seed=4151577174:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.04/1.25 % (4068959)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3718545697:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.04/1.25 % (4068962)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=807710448:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.04/1.25 % (4068962)First to succeed.
% 3.04/1.25 % (4068962)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4068952"
% 3.04/1.25 % (4068961)Also succeeded, but the first one will report.
% 3.04/1.25 % (4068963)Also succeeded, but the first one will report.
% 3.04/1.25 % (4068960)Refutation not found, incomplete strategy
% 3.04/1.25 % (4068960)------------------------------
% 3.04/1.25 % (4068960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.25 % (4068960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.25 % (4068960)CaDiCaL version: 2.1.3
% 3.04/1.25 % (4068960)Termination reason: Refutation not found, incomplete strategy
% 3.04/1.25 % (4068960)Time elapsed: 0.063 s
% 3.04/1.25 % (4068960)Peak memory usage: 89 MB
% 3.04/1.25 % (4068960)Instructions burned: 97 (million)
% 3.04/1.25 % (4068962)Refutation found. Thanks to Tanya!
% 3.04/1.25 % SZS status Unsatisfiable for theBenchmark
% 3.04/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.04/1.25 % (4068962)------------------------------
% 3.04/1.25 % (4068962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.25 % (4068962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.25 % (4068962)CaDiCaL version: 2.1.3
% 3.04/1.25 % (4068962)Termination reason: Refutation
% 3.04/1.25 % (4068962)Time elapsed: 0.007 s
% 3.04/1.25 % (4068962)Peak memory usage: 90 MB
% 3.04/1.25 % (4068962)Instructions burned: 20 (million)
% 3.04/1.25 % (4068962)------------------------------
% 3.04/1.25 % (4068962)------------------------------
% 3.04/1.25 % (4068952)Success in time 0.335 s
% 3.04/1.25 % Vampire exiting
%------------------------------------------------------------------------------