%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN122-1 : 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 : n004.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 01:49:43 PM UTC 2026
% Result : Unsatisfiable 0.20s 1.20s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 41 ( 12 unt; 4 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 103 ( 54 ~; 45 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 5 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 38 ( 0 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
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(f169,axiom,
! [X0,X1] :
( l2(X0,X1)
| ~ s1(X0)
| ~ n0(e,X1)
| ~ l2(X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_131) ).
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,
~ l2(b,e),
file('/export/starexec/sandbox/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(f710,definition,
( spl0_100
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
fof(f711,plain,
( ! [X0,X1] :
( ~ q0(X0,X1)
| s1(X0) )
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f712,plain,
( spl0_31
| spl0_100 ),
inference(avatar_split_clause,[],[f164,f710,f474]) ).
fof(f885,definition,
( spl0_148
<=> ! [X2] : ~ p0(X2,X2) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
fof(f886,plain,
( ! [X2] : ~ p0(X2,X2)
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f1321,definition,
( spl0_269
<=> ! [X2,X0,X3] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_269])],[avatar_definition]) ).
fof(f1322,plain,
( ! [X2,X3,X0] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) )
| ~ spl0_269 ),
inference(avatar_component_clause,[],[f1321]) ).
fof(f1323,plain,
( spl0_148
| spl0_269 ),
inference(avatar_split_clause,[],[f171,f1321,f885]) ).
fof(f1420,plain,
( $false
| ~ spl0_148 ),
inference(resolution,[],[f886,f14]) ).
fof(f1421,plain,
~ spl0_148,
inference(avatar_contradiction_clause,[],[f1420]) ).
fof(f1501,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f163,f475]) ).
fof(f1502,plain,
( spl0_148
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f1501,f474,f885]) ).
fof(f1508,plain,
( ! [X0] : s1(X0)
| ~ spl0_100 ),
inference(resolution,[],[f711,f17]) ).
fof(f1643,plain,
( ! [X2,X3,X0] :
( ~ m0(X3,X2,X0)
| l2(X0,X0) )
| ~ spl0_100
| ~ spl0_269 ),
inference(forward_subsumption_resolution,[],[f1322,f1508]) ).
fof(f1748,plain,
( ! [X0] : l2(X0,X0)
| ~ spl0_100
| ~ spl0_269 ),
inference(resolution,[],[f1643,f19]) ).
fof(f2450,plain,
( ! [X0,X1] :
( l2(X0,X1)
| ~ n0(e,X1)
| ~ l2(X1,X1) )
| ~ spl0_100 ),
inference(forward_subsumption_resolution,[],[f169,f1508]) ).
fof(f2451,plain,
( ! [X0,X1] :
( l2(X0,X1)
| ~ n0(e,X1) )
| ~ spl0_100
| ~ spl0_269 ),
inference(forward_subsumption_resolution,[],[f2450,f1748]) ).
fof(f2458,plain,
( ~ n0(e,e)
| ~ spl0_100
| ~ spl0_269 ),
inference(resolution,[],[f2451,f369]) ).
fof(f2460,plain,
( $false
| ~ spl0_100
| ~ spl0_269 ),
inference(forward_subsumption_resolution,[],[f2458,f30]) ).
fof(f2461,plain,
( ~ spl0_100
| ~ spl0_269 ),
inference(avatar_contradiction_clause,[],[f2460]) ).
cnf(s42,plain,
( spl0_31
| spl0_100 ),
inference(sat_conversion,[],[f712]) ).
cnf(s141,plain,
( spl0_148
| spl0_269 ),
inference(sat_conversion,[],[f1323]) ).
cnf(s168,plain,
~ spl0_148,
inference(sat_conversion,[],[f1421]) ).
cnf(s203,plain,
( ~ spl0_31
| spl0_148 ),
inference(sat_conversion,[],[f1502]) ).
cnf(s344,plain,
( ~ spl0_100
| ~ spl0_269 ),
inference(sat_conversion,[],[f2461]) ).
cnf(s350,plain,
~ spl0_31,
inference(rat,[],[s203,s168]) ).
cnf(s352,plain,
spl0_269,
inference(rat,[],[s141,s168]) ).
cnf(s353,plain,
~ spl0_100,
inference(rat,[],[s344,s352]) ).
cnf(s435,plain,
$false,
inference(rat,[],[s42,s353,s350]) ).
fof(f2469,plain,
$false,
inference(avatar_sat_refutation,[],[s435]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN122-1 : 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 : n004.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 15:35:52 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 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
% 0.20/1.20 % (466053)Input is clausal, will run a generic CNF schedule.
% 0.20/1.20 % (466062)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=993009890:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.20/1.20 % (466062)First to succeed.
% 0.20/1.20 % (466062)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-466053"
% 0.20/1.20 % (466061)lrs+10_1_sil=8000:sp=occurrence:random_seed=1814273243:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.20/1.20 % (466059)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3728305356:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.20/1.20 % (466064)dis-21_1_sil=8000:lcm=predicate:random_seed=3994960844: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)
% 0.20/1.20 % (466058)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=3796169887:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.20/1.20 % (466060)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1576389849:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.20/1.20 % (466063)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2770315363:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.20/1.20 % (466063)Also succeeded, but the first one will report.
% 0.20/1.20 % (466064)Instruction limit reached!
% 0.20/1.20 % (466064)------------------------------
% 0.20/1.20 % (466064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.20 % (466064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.20 % (466064)CaDiCaL version: 2.1.3
% 0.20/1.20 % (466064)Termination reason: Instruction limit
% 0.20/1.20 % (466064)Termination phase: Saturation
% 0.20/1.20 % (466064)Time elapsed: 0.056 s
% 0.20/1.20 % (466064)Peak memory usage: 89 MB
% 0.20/1.20 % (466064)Instructions burned: 119 (million)
% 0.20/1.20 % (466061)Refutation not found, incomplete strategy
% 0.20/1.20 % (466061)------------------------------
% 0.20/1.20 % (466061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.20 % (466061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.20 % (466061)CaDiCaL version: 2.1.3
% 0.20/1.20 % (466061)Termination reason: Refutation not found, incomplete strategy
% 0.20/1.20 % (466061)Time elapsed: 0.063 s
% 0.20/1.20 % (466061)Peak memory usage: 90 MB
% 0.20/1.20 % (466061)Instructions burned: 98 (million)
% 0.20/1.20 % (466062)Refutation found. Thanks to Tanya!
% 0.20/1.20 % SZS status Unsatisfiable for theBenchmark
% 0.20/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.20 % (466062)------------------------------
% 0.20/1.20 % (466062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.20 % (466062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.20 % (466062)CaDiCaL version: 2.1.3
% 0.20/1.20 % (466062)Termination reason: Refutation
% 0.20/1.20 % (466062)Time elapsed: 0.014 s
% 0.20/1.20 % (466062)Peak memory usage: 90 MB
% 0.20/1.20 % (466062)Instructions burned: 38 (million)
% 0.20/1.20 % (466062)------------------------------
% 0.20/1.20 % (466062)------------------------------
% 0.20/1.20 % (466053)Success in time 0.324 s
% 0.20/1.20 % Vampire exiting
%------------------------------------------------------------------------------