%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET058-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 12:39:50 PM UTC 2026
% Result : Unsatisfiable 2.37s 1.19s
% Output : Refutation 2.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 11 unt; 3 def)
% Number of atoms : 45 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 18 ~; 15 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f107,negated_conjecture,
member(not_subclass_element(y,x),x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equality3_1) ).
fof(f108,negated_conjecture,
x != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equality3_2) ).
fof(f109,plain,
y != x,
inference(reorient_equations,[],[f108]) ).
fof(f110,negated_conjecture,
~ member(not_subclass_element(x,y),x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equality3_3) ).
fof(f161,definition,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ0_eqProxy])],[equality_proxy_definition]) ).
fof(f162,plain,
~ sQ0_eqProxy(y,x),
inference(equality_proxy_replacement,[],[f109,f161]) ).
fof(f170,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(equality_proxy_replacement,[],[f7,f161]) ).
fof(f197,plain,
( ~ subclass(x,y)
| ~ subclass(y,x) ),
inference(resolution,[],[f170,f162]) ).
fof(f200,definition,
( spl1_1
<=> subclass(x,y) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f201,plain,
( ~ subclass(x,y)
| spl1_1 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f203,definition,
( spl1_2
<=> subclass(y,x) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f204,plain,
( ~ subclass(y,x)
| spl1_2 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f206,plain,
( ~ spl1_2
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f197,f200,f203]) ).
fof(f209,plain,
( member(not_subclass_element(x,y),x)
| spl1_1 ),
inference(resolution,[],[f201,f2]) ).
fof(f210,plain,
( $false
| spl1_1 ),
inference(resolution,[],[f209,f110]) ).
fof(f211,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f210]) ).
fof(f213,plain,
( ~ member(not_subclass_element(y,x),x)
| spl1_2 ),
inference(resolution,[],[f204,f3]) ).
fof(f215,plain,
( $false
| spl1_2 ),
inference(resolution,[],[f213,f107]) ).
fof(f216,plain,
spl1_2,
inference(avatar_contradiction_clause,[],[f215]) ).
cnf(s2,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f206]) ).
cnf(s3,plain,
spl1_1,
inference(sat_conversion,[],[f211]) ).
cnf(s4,plain,
spl1_2,
inference(sat_conversion,[],[f216]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s2,s4,s3]) ).
fof(f217,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET058-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n013.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 00:23:22 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 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
% 2.37/1.19 % (697710)Input is clausal, will run a generic CNF schedule.
% 2.37/1.19 % (697722)dis-21_1_sil=8000:lcm=predicate:random_seed=2191200110: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)
% 2.37/1.19 % (697722)First to succeed.
% 2.37/1.19 % (697722)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-697710"
% 2.37/1.19 % (697721)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2555232184:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.37/1.19 % (697720)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4257271609:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.37/1.19 % (697716)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=430747884:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.37/1.19 % (697717)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1289891146:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.37/1.19 % (697719)lrs+10_1_sil=8000:sp=occurrence:random_seed=1502232880:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.37/1.19 % (697718)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2376033394:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.37/1.19 % (697720)Also succeeded, but the first one will report.
% 2.37/1.19 % (697719)Also succeeded, but the first one will report.
% 2.37/1.19 % (697721)Also succeeded, but the first one will report.
% 2.37/1.19 % (697722)Refutation found. Thanks to Tanya!
% 2.37/1.19 % SZS status Unsatisfiable for theBenchmark
% 2.37/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 2.37/1.19 % (697722)------------------------------
% 2.37/1.19 % (697722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.37/1.19 % (697722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/1.19 % (697722)CaDiCaL version: 2.1.3
% 2.37/1.19 % (697722)Termination reason: Refutation
% 2.37/1.19 % (697722)Time elapsed: 0.003 s
% 2.37/1.19 % (697722)Peak memory usage: 89 MB
% 2.37/1.19 % (697722)Instructions burned: 7 (million)
% 2.37/1.19 % (697722)------------------------------
% 2.37/1.19 % (697722)------------------------------
% 2.37/1.19 % (697710)Success in time 0.261 s
% 2.37/1.19 % Vampire exiting
%------------------------------------------------------------------------------