%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET063-7 : 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 : 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 12:39:53 PM UTC 2026
% Result : Unsatisfiable 2.73s 1.34s
% Output : Refutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 11 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 3 ( 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f114,axiom,
! [X0] : subclass(null_class,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_is_subclass) ).
fof(f115,negated_conjecture,
subclass(x,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_of_null_class_is_subclass_1) ).
fof(f116,negated_conjecture,
x != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_of_null_class_is_subclass_2) ).
fof(f117,plain,
null_class != x,
inference(reorient_equations,[],[f116]) ).
fof(f121,plain,
( ~ subclass(null_class,x)
| null_class = x ),
inference(resolution,[],[f7,f115]) ).
fof(f126,plain,
null_class = x,
inference(forward_subsumption_resolution,[],[f121,f114]) ).
fof(f127,plain,
$false,
inference(forward_subsumption_resolution,[],[f126,f117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET063-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 28 00:27:32 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 2.73/1.34 % (322712)Input is clausal, will run a generic CNF schedule.
% 2.73/1.34 % (322721)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3418676650:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.73/1.34 % (322721)First to succeed.
% 2.73/1.34 % (322721)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-322712"
% 2.73/1.34 % (322718)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1889681042:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.73/1.34 % (322717)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=986809983:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.73/1.34 % (322723)dis-21_1_sil=8000:lcm=predicate:random_seed=2351015172: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)
% 2.73/1.34 % (322722)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3708740312:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.73/1.34 % (322720)lrs+10_1_sil=8000:sp=occurrence:random_seed=1748693353:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.73/1.34 % (322719)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=29242430:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.73/1.34 % (322720)Also succeeded, but the first one will report.
% 2.73/1.34 % (322723)Also succeeded, but the first one will report.
% 2.73/1.34 % (322722)Also succeeded, but the first one will report.
% 2.73/1.34 % (322721)Refutation found. Thanks to Tanya!
% 2.73/1.34 % SZS status Unsatisfiable for theBenchmark
% 2.73/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 2.73/1.34 % (322721)------------------------------
% 2.73/1.34 % (322721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.34 % (322721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.34 % (322721)CaDiCaL version: 2.1.3
% 2.73/1.34 % (322721)Termination reason: Refutation
% 2.73/1.34 % (322721)Time elapsed: 0.001 s
% 2.73/1.34 % (322721)Peak memory usage: 88 MB
% 2.73/1.34 % (322721)Instructions burned: 1 (million)
% 2.73/1.34 % (322721)------------------------------
% 2.73/1.34 % (322721)------------------------------
% 2.73/1.34 % (322712)Success in time 0.302 s
% 2.73/1.34 % Vampire exiting
%------------------------------------------------------------------------------