%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN225-1 : 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 01:49:57 PM UTC 2026
% Result : Unsatisfiable 2.55s 1.12s
% Output : Refutation 2.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 34 ( 15 unt; 4 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 69 ( 34 ~; 31 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 5 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).
fof(f59,axiom,
! [X0,X1] :
( m1(X0,X1,X0)
| ~ l0(X0)
| ~ k0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_021) ).
fof(f214,axiom,
! [X0,X1] :
( p2(X0,X1,X0)
| ~ m1(X1,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_176) ).
fof(f253,axiom,
! [X0,X1] :
( l3(X0,X1)
| ~ r0(X0)
| ~ p2(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_215) ).
fof(f369,negated_conjecture,
~ l3(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f521,definition,
( spl0_40
<=> l3(b,a) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f523,plain,
( ~ l3(b,a)
| spl0_40 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f717,definition,
( spl0_89
<=> r0(b) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f718,plain,
( r0(b)
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f1099,definition,
( spl0_184
<=> k0(b) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
fof(f1100,plain,
( k0(b)
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f1099]) ).
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(f1555,plain,
spl0_184,
inference(avatar_split_clause,[],[f32,f1099]) ).
fof(f1560,plain,
spl0_227,
inference(avatar_split_clause,[],[f20,f1276]) ).
fof(f1565,plain,
spl0_89,
inference(avatar_split_clause,[],[f9,f717]) ).
fof(f1569,plain,
~ spl0_40,
inference(avatar_split_clause,[],[f369,f521]) ).
fof(f1584,plain,
( ~ r0(b)
| ~ p2(b,a,b)
| spl0_40 ),
inference(resolution,[],[f253,f523]) ).
fof(f1585,plain,
( ~ p2(b,a,b)
| spl0_40
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f1584,f718]) ).
fof(f1943,plain,
( ~ m1(a,b,a)
| spl0_40
| ~ spl0_89 ),
inference(resolution,[],[f214,f1585]) ).
fof(f1947,plain,
( ~ l0(a)
| ~ k0(b)
| spl0_40
| ~ spl0_89 ),
inference(resolution,[],[f1943,f59]) ).
fof(f1949,plain,
( ~ k0(b)
| spl0_40
| ~ spl0_89
| ~ spl0_227 ),
inference(forward_subsumption_resolution,[],[f1947,f1277]) ).
fof(f1950,plain,
( $false
| spl0_40
| ~ spl0_89
| ~ spl0_184
| ~ spl0_227 ),
inference(forward_subsumption_resolution,[],[f1949,f1100]) ).
fof(f1951,plain,
( spl0_40
| ~ spl0_89
| ~ spl0_184
| ~ spl0_227 ),
inference(avatar_contradiction_clause,[],[f1950]) ).
cnf(s155,plain,
spl0_184,
inference(sat_conversion,[],[f1555]) ).
cnf(s160,plain,
spl0_227,
inference(sat_conversion,[],[f1560]) ).
cnf(s165,plain,
spl0_89,
inference(sat_conversion,[],[f1565]) ).
cnf(s169,plain,
~ spl0_40,
inference(sat_conversion,[],[f1569]) ).
cnf(s275,plain,
( spl0_40
| ~ spl0_89
| ~ spl0_184
| ~ spl0_227 ),
inference(sat_conversion,[],[f1951]) ).
cnf(s286,plain,
~ spl0_184,
inference(rat,[],[s275,s165,s169,s160]) ).
cnf(s288,plain,
$false,
inference(rat,[],[s155,s286]) ).
fof(f1952,plain,
$false,
inference(avatar_sat_refutation,[],[s288]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN225-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.17 % Computer : n006.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Mon Sep 28 15:38:10 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.21 Running first-order theorem proving
% 0.11/0.21 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
% 2.55/1.12 % (4068136)Input is clausal, will run a generic CNF schedule.
% 2.55/1.12 % (4068260)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3736413901:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.55/1.12 % (4068260)First to succeed.
% 2.55/1.12 % (4068260)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4068136"
% 2.55/1.12 % (4068261)dis-21_1_sil=8000:lcm=predicate:random_seed=1136638564: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)
% 2.55/1.12 % (4068255)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=428003466:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.55/1.12 % (4068258)lrs+10_1_sil=8000:sp=occurrence:random_seed=3486067087:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.55/1.12 % (4068257)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=150503728:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.55/1.12 % (4068256)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2333413127:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.55/1.12 % (4068259)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2221853008:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.55/1.12 % (4068259)Also succeeded, but the first one will report.
% 2.55/1.12 % (4068258)Also succeeded, but the first one will report.
% 2.55/1.12 % (4068261)Instruction limit reached!
% 2.55/1.12 % (4068261)------------------------------
% 2.55/1.12 % (4068261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.12 % (4068261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.12 % (4068261)CaDiCaL version: 2.1.3
% 2.55/1.12 % (4068261)Termination reason: Instruction limit
% 2.55/1.12 % (4068261)Termination phase: Saturation
% 2.55/1.12 % (4068261)Time elapsed: 0.056 s
% 2.55/1.12 % (4068261)Peak memory usage: 89 MB
% 2.55/1.12 % (4068261)Instructions burned: 119 (million)
% 2.55/1.12 % (4068260)Refutation found. Thanks to Tanya!
% 2.55/1.12 % SZS status Unsatisfiable for theBenchmark
% 2.55/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 2.55/1.12 % (4068260)------------------------------
% 2.55/1.12 % (4068260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.12 % (4068260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.12 % (4068260)CaDiCaL version: 2.1.3
% 2.55/1.12 % (4068260)Termination reason: Refutation
% 2.55/1.12 % (4068260)Time elapsed: 0.011 s
% 2.55/1.12 % (4068260)Peak memory usage: 90 MB
% 2.55/1.12 % (4068260)Instructions burned: 29 (million)
% 2.55/1.12 % (4068260)------------------------------
% 2.55/1.12 % (4068260)------------------------------
% 2.55/1.12 % (4068136)Success in time 0.278 s
% 2.55/1.12 % Vampire exiting
%------------------------------------------------------------------------------