%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN247-1 : 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 : n009.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 01:50:00 PM UTC 2026
% Result : Unsatisfiable 2.86s 1.25s
% Output : Refutation 2.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 9 unt; 2 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 15 ~; 10 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f70,axiom,
! [X0] :
( m1(X0,X0,X0)
| ~ s0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_032) ).
fof(f369,negated_conjecture,
! [X0,X1] : ~ m1(d,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f876,definition,
( spl0_128
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f877,plain,
( s0(d)
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f1519,definition,
( spl0_285
<=> ! [X0] :
( m1(X0,X0,X0)
| ~ s0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_285])],[avatar_definition]) ).
fof(f1520,plain,
( ! [X0] :
( m1(X0,X0,X0)
| ~ s0(X0) )
| ~ spl0_285 ),
inference(avatar_component_clause,[],[f1519]) ).
fof(f1568,plain,
spl0_128,
inference(avatar_split_clause,[],[f1,f876]) ).
fof(f1587,plain,
spl0_285,
inference(avatar_split_clause,[],[f70,f1519]) ).
fof(f1588,plain,
( ~ s0(d)
| ~ spl0_285 ),
inference(resolution,[],[f1520,f369]) ).
fof(f1589,plain,
( $false
| ~ spl0_128
| ~ spl0_285 ),
inference(forward_subsumption_resolution,[],[f1588,f877]) ).
fof(f1590,plain,
( ~ spl0_128
| ~ spl0_285 ),
inference(avatar_contradiction_clause,[],[f1589]) ).
cnf(s168,plain,
spl0_128,
inference(sat_conversion,[],[f1568]) ).
cnf(s176,plain,
spl0_285,
inference(sat_conversion,[],[f1587]) ).
cnf(s177,plain,
( ~ spl0_128
| ~ spl0_285 ),
inference(sat_conversion,[],[f1590]) ).
cnf(s178,plain,
~ spl0_128,
inference(rat,[],[s177,s176]) ).
cnf(s179,plain,
$false,
inference(rat,[],[s168,s178]) ).
fof(f1591,plain,
$false,
inference(avatar_sat_refutation,[],[s179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN247-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 % Computer : n009.cluster.edu
% 0.08/0.23 % Model : x86_64 x86_64
% 0.08/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.23 % Memory : 8046.5625MB
% 0.08/0.23 % OS : Linux 6.8.0-71-generic
% 0.08/0.23 % CPULimit : 300
% 0.08/0.23 % WCLimit : 300
% 0.08/0.23 % DateTime : Mon Sep 28 15:39:16 UTC 2026
% 0.08/0.24 % CPUTime :
% 0.08/0.24 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.30 Running first-order theorem proving
% 0.27/0.30 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
% 2.86/1.25 % (3167601)Input is clausal, will run a generic CNF schedule.
% 2.86/1.25 % (3167627)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3685188797:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.86/1.25 % (3167627)First to succeed.
% 2.86/1.25 % (3167627)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3167601"
% 2.86/1.25 % (3167623)lrs+10_1_sil=8000:sp=occurrence:random_seed=4088897211:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.86/1.25 % (3167623)Also succeeded, but the first one will report.
% 2.86/1.25 % (3167628)dis-21_1_sil=8000:lcm=predicate:random_seed=3171681563: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)
% 2.86/1.25 % (3167625)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2340986129:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.86/1.25 % (3167619)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=3140246482:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.86/1.25 % (3167621)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1643154171:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.86/1.25 % (3167628)Also succeeded, but the first one will report.
% 2.86/1.25 % (3167625)Also succeeded, but the first one will report.
% 2.86/1.25 % (3167620)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=122951620:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.86/1.25 % (3167627)Refutation found. Thanks to Tanya!
% 2.86/1.25 % SZS status Unsatisfiable for theBenchmark
% 2.86/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 2.86/1.25 % (3167627)------------------------------
% 2.86/1.25 % (3167627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.86/1.25 % (3167627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/1.25 % (3167627)CaDiCaL version: 2.1.3
% 2.86/1.25 % (3167627)Termination reason: Refutation
% 2.86/1.25 % (3167627)Time elapsed: 0.006 s
% 2.86/1.25 % (3167627)Peak memory usage: 90 MB
% 2.86/1.25 % (3167627)Instructions burned: 14 (million)
% 2.86/1.25 % (3167627)------------------------------
% 2.86/1.25 % (3167627)------------------------------
% 2.86/1.25 % (3167601)Success in time 0.317 s
% 2.86/1.25 % Vampire exiting
%------------------------------------------------------------------------------