%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET057-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 2.52s 1.26s
% Output : Refutation 2.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 16 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f107,negated_conjecture,
member(not_subclass_element(x,y),y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equality2_1) ).
fof(f108,negated_conjecture,
x != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equality2_2) ).
fof(f109,negated_conjecture,
~ member(not_subclass_element(y,x),y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equality2_3) ).
fof(f112,plain,
subclass(y,x),
inference(resolution,[],[f2,f109]) ).
fof(f113,plain,
subclass(x,y),
inference(resolution,[],[f3,f107]) ).
fof(f123,plain,
( ~ subclass(y,x)
| x = y ),
inference(resolution,[],[f7,f113]) ).
fof(f125,plain,
x = y,
inference(forward_subsumption_resolution,[],[f123,f112]) ).
fof(f127,plain,
$false,
inference(forward_subsumption_resolution,[],[f125,f108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET057-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n011.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Mon Sep 28 00:24:01 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 2.52/1.26 % (2906919)Input is clausal, will run a generic CNF schedule.
% 2.52/1.26 % (2906928)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=502815689:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.52/1.26 % (2906928)First to succeed.
% 2.52/1.26 % (2906928)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2906919"
% 2.52/1.26 % (2906924)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=3886726693:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.52/1.26 % (2906926)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2064656613:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.52/1.26 % (2906925)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=948218021:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.52/1.26 % (2906927)lrs+10_1_sil=8000:sp=occurrence:random_seed=3306724837:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.52/1.26 % (2906927)Also succeeded, but the first one will report.
% 2.52/1.26 % (2906929)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1300918593:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.52/1.26 % (2906930)dis-21_1_sil=8000:lcm=predicate:random_seed=3076668229: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)
% 2.52/1.26 % (2906930)Also succeeded, but the first one will report.
% 2.52/1.26 % (2906929)Also succeeded, but the first one will report.
% 2.52/1.26 % (2906928)Refutation found. Thanks to Tanya!
% 2.52/1.26 % SZS status Unsatisfiable for theBenchmark
% 2.52/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 2.52/1.26 % (2906928)------------------------------
% 2.52/1.26 % (2906928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.52/1.26 % (2906928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/1.26 % (2906928)CaDiCaL version: 2.1.3
% 2.52/1.26 % (2906928)Termination reason: Refutation
% 2.52/1.26 % (2906928)Time elapsed: 0.001 s
% 2.52/1.26 % (2906928)Peak memory usage: 88 MB
% 2.52/1.26 % (2906928)Instructions burned: 1 (million)
% 2.52/1.26 % (2906928)------------------------------
% 2.52/1.26 % (2906928)------------------------------
% 2.52/1.26 % (2906919)Success in time 0.29 s
% 2.52/1.26 % Vampire exiting
%------------------------------------------------------------------------------