%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN173-1 : 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 : n010.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 01:49:50 PM UTC 2026
% Result : Unsatisfiable 2.67s 1.17s
% Output : Refutation 2.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 9 unt; 2 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 17 ~; 9 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
fof(f130,axiom,
! [X2,X3,X0,X1] :
( q1(X0,X1,X0)
| ~ n0(X2,X1)
| ~ p0(X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_092) ).
fof(f369,negated_conjecture,
~ q1(e,a,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f2225,plain,
! [X0,X1] :
( ~ n0(X0,a)
| ~ p0(X1,e) ),
inference(resolution,[],[f130,f369]) ).
fof(f2231,definition,
( spl0_310
<=> ! [X1] : ~ p0(X1,e) ),
introduced(definition,[new_symbols(definition,[spl0_310])],[avatar_definition]) ).
fof(f2232,plain,
( ! [X1] : ~ p0(X1,e)
| ~ spl0_310 ),
inference(avatar_component_clause,[],[f2231]) ).
fof(f2234,definition,
( spl0_311
<=> ! [X0] : ~ n0(X0,a) ),
introduced(definition,[new_symbols(definition,[spl0_311])],[avatar_definition]) ).
fof(f2235,plain,
( ! [X0] : ~ n0(X0,a)
| ~ spl0_311 ),
inference(avatar_component_clause,[],[f2234]) ).
fof(f2236,plain,
( spl0_310
| spl0_311 ),
inference(avatar_split_clause,[],[f2225,f2234,f2231]) ).
fof(f2237,plain,
( $false
| ~ spl0_310 ),
inference(resolution,[],[f2232,f14]) ).
fof(f2238,plain,
~ spl0_310,
inference(avatar_contradiction_clause,[],[f2237]) ).
fof(f2243,plain,
( $false
| ~ spl0_311 ),
inference(resolution,[],[f2235,f37]) ).
fof(f2244,plain,
~ spl0_311,
inference(avatar_contradiction_clause,[],[f2243]) ).
cnf(s327,plain,
( spl0_310
| spl0_311 ),
inference(sat_conversion,[],[f2236]) ).
cnf(s328,plain,
~ spl0_310,
inference(sat_conversion,[],[f2238]) ).
cnf(s329,plain,
~ spl0_311,
inference(sat_conversion,[],[f2244]) ).
cnf(s330,plain,
$false,
inference(rat,[],[s327,s329,s328]) ).
fof(f2245,plain,
$false,
inference(avatar_sat_refutation,[],[s330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN173-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 % Computer : n010.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Mon Sep 28 15:38:03 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.28 Running first-order theorem proving
% 0.09/0.28 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
% 2.67/1.17 % (2016609)Input is clausal, will run a generic CNF schedule.
% 2.67/1.17 % (2016665)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3491654329:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.67/1.17 % (2016665)First to succeed.
% 2.67/1.17 % (2016665)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2016609"
% 2.67/1.17 % (2016662)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3253961153:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.67/1.17 % (2016661)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2241140830:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.67/1.17 % (2016659)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=816740357:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.67/1.17 % (2016667)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2690145701:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.67/1.17 % (2016664)lrs+10_1_sil=8000:sp=occurrence:random_seed=4037345864:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.67/1.17 % (2016664)Refutation not found, incomplete strategy
% 2.67/1.17 % (2016664)------------------------------
% 2.67/1.17 % (2016664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.17 % (2016664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.17 % (2016664)CaDiCaL version: 2.1.3
% 2.67/1.17 % (2016664)Termination reason: Refutation not found, incomplete strategy
% 2.67/1.17 % (2016664)Time elapsed: 0.003 s
% 2.67/1.17 % (2016664)Peak memory usage: 88 MB
% 2.67/1.17 % (2016664)Instructions burned: 2 (million)
% 2.67/1.17 % (2016669)dis-21_1_sil=8000:lcm=predicate:random_seed=2627063487: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)
% 2.67/1.17 % (2016667)Also succeeded, but the first one will report.
% 2.67/1.17 % (2016669)Instruction limit reached!
% 2.67/1.17 % (2016669)------------------------------
% 2.67/1.17 % (2016669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.17 % (2016669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.17 % (2016669)CaDiCaL version: 2.1.3
% 2.67/1.17 % (2016669)Termination reason: Instruction limit
% 2.67/1.17 % (2016669)Termination phase: Saturation
% 2.67/1.17 % (2016669)Time elapsed: 0.056 s
% 2.67/1.17 % (2016669)Peak memory usage: 89 MB
% 2.67/1.17 % (2016669)Instructions burned: 119 (million)
% 2.67/1.17 % (2016665)Refutation found. Thanks to Tanya!
% 2.67/1.17 % SZS status Unsatisfiable for theBenchmark
% 2.67/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.67/1.17 % (2016665)------------------------------
% 2.67/1.17 % (2016665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.17 % (2016665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.17 % (2016665)CaDiCaL version: 2.1.3
% 2.67/1.17 % (2016665)Termination reason: Refutation
% 2.67/1.17 % (2016665)Time elapsed: 0.013 s
% 2.67/1.17 % (2016665)Peak memory usage: 90 MB
% 2.67/1.17 % (2016665)Instructions burned: 33 (million)
% 2.67/1.17 % (2016665)------------------------------
% 2.67/1.17 % (2016665)------------------------------
% 2.67/1.17 % (2016609)Success in time 0.278 s
% 2.67/1.17 % Vampire exiting
%------------------------------------------------------------------------------