%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN263-1 : 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 : n005.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 01:50:03 PM UTC 2026
% Result : Unsatisfiable 2.70s 1.29s
% Output : Refutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 12 unt; 1 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 18 ~; 8 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 17 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] : m0(a,X0,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
fof(f104,axiom,
! [X0,X1] :
( p1(X0,X0,X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_066) ).
fof(f120,axiom,
! [X2,X3,X0,X1] :
( p1(X0,X1,X2)
| ~ m0(X2,X0,X3)
| ~ p1(X2,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_082) ).
fof(f369,negated_conjecture,
~ p1(d,d,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f2332,definition,
( spl0_314
<=> ! [X1] : ~ n0(X1,a) ),
introduced(definition,[new_symbols(definition,[spl0_314])],[avatar_definition]) ).
fof(f2333,plain,
( ! [X1] : ~ n0(X1,a)
| ~ spl0_314 ),
inference(avatar_component_clause,[],[f2332]) ).
fof(f2339,plain,
( $false
| ~ spl0_314 ),
inference(resolution,[],[f2333,f37]) ).
fof(f2340,plain,
~ spl0_314,
inference(avatar_contradiction_clause,[],[f2339]) ).
fof(f2550,plain,
! [X0] :
( ~ m0(a,d,X0)
| ~ p1(a,d,X0) ),
inference(resolution,[],[f120,f369]) ).
fof(f2558,plain,
! [X0] : ~ p1(a,d,X0),
inference(forward_subsumption_resolution,[],[f2550,f19]) ).
fof(f2561,plain,
! [X0,X1] :
( ~ p1(X0,a,X1)
| ~ m0(X0,a,X1) ),
inference(resolution,[],[f2558,f120]) ).
fof(f2573,plain,
! [X0] :
( ~ m0(a,a,a)
| ~ n0(X0,a) ),
inference(resolution,[],[f2561,f104]) ).
fof(f2603,plain,
! [X0] : ~ n0(X0,a),
inference(forward_subsumption_resolution,[],[f2573,f12]) ).
fof(f2610,plain,
spl0_314,
inference(avatar_split_clause,[],[f2603,f2332]) ).
cnf(s334,plain,
~ spl0_314,
inference(sat_conversion,[],[f2340]) ).
cnf(s368,plain,
spl0_314,
inference(sat_conversion,[],[f2610]) ).
cnf(s370,plain,
$false,
inference(rat,[],[s334,s368]) ).
fof(f2611,plain,
$false,
inference(avatar_sat_refutation,[],[s370]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN263-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n005.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 15:40:06 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 Running first-order theorem proving
% 0.10/0.26 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
% 2.70/1.29 % (885899)Input is clausal, will run a generic CNF schedule.
% 2.70/1.29 % (885919)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=995278370:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.70/1.29 % (885919)First to succeed.
% 2.70/1.29 % (885919)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-885899"
% 2.70/1.29 % (885916)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=406841556:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.70/1.29 % (885915)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=1096844392:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.70/1.29 % (885918)lrs+10_1_sil=8000:sp=occurrence:random_seed=2282050793:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.70/1.29 % (885917)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=16337994:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.70/1.29 % (885918)Refutation not found, incomplete strategy
% 2.70/1.29 % (885918)------------------------------
% 2.70/1.29 % (885918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.29 % (885918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.29 % (885918)CaDiCaL version: 2.1.3
% 2.70/1.29 % (885918)Termination reason: Refutation not found, incomplete strategy
% 2.70/1.29 % (885918)Time elapsed: 0.004 s
% 2.70/1.29 % (885918)Peak memory usage: 88 MB
% 2.70/1.29 % (885918)Instructions burned: 4 (million)
% 2.70/1.29 % (885921)dis-21_1_sil=8000:lcm=predicate:random_seed=17026673: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)
% 2.70/1.29 % (885920)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2765689619:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.70/1.29 % (885920)Also succeeded, but the first one will report.
% 2.70/1.29 % (885921)Instruction limit reached!
% 2.70/1.29 % (885921)------------------------------
% 2.70/1.29 % (885921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.29 % (885921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.29 % (885921)CaDiCaL version: 2.1.3
% 2.70/1.29 % (885921)Termination reason: Instruction limit
% 2.70/1.29 % (885921)Termination phase: Saturation
% 2.70/1.29 % (885921)Time elapsed: 0.055 s
% 2.70/1.29 % (885921)Peak memory usage: 89 MB
% 2.70/1.29 % (885921)Instructions burned: 117 (million)
% 2.70/1.29 % (885919)Refutation found. Thanks to Tanya!
% 2.70/1.29 % SZS status Unsatisfiable for theBenchmark
% 2.70/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 2.70/1.29 % (885919)------------------------------
% 2.70/1.29 % (885919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.29 % (885919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.29 % (885919)CaDiCaL version: 2.1.3
% 2.70/1.29 % (885919)Termination reason: Refutation
% 2.70/1.29 % (885919)Time elapsed: 0.015 s
% 2.70/1.29 % (885919)Peak memory usage: 90 MB
% 2.70/1.29 % (885919)Instructions burned: 41 (million)
% 2.70/1.29 % (885919)------------------------------
% 2.70/1.29 % (885919)------------------------------
% 2.70/1.29 % (885899)Success in time 0.275 s
% 2.70/1.29 % Vampire exiting
%------------------------------------------------------------------------------