%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET829-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 12:42:02 PM UTC 2026
% Result : Unsatisfiable 3.56s 1.48s
% Output : Refutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2)
| c_in(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f2,negated_conjecture,
c_lessequals(v_X,v_Z,tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,negated_conjecture,
c_in(v_x,v_X,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f4,negated_conjecture,
~ c_in(v_x,v_Z,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f5,plain,
! [X0] :
( ~ c_in(X0,v_X,t_a)
| c_in(X0,v_Z,t_a) ),
inference(resolution,[],[f1,f2]) ).
fof(f6,plain,
c_in(v_x,v_Z,t_a),
inference(resolution,[],[f5,f3]) ).
fof(f7,plain,
$false,
inference(forward_subsumption_resolution,[],[f6,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET829-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n004.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 02:55:52 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 3.56/1.48 % (4107120)Input is clausal, will run a generic CNF schedule.
% 3.56/1.48 % (4107153)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=1518750291:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.56/1.48 % (4107159)dis-21_1_sil=8000:lcm=predicate:random_seed=1478830641: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)
% 3.56/1.48 % (4107158)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1237813853:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.56/1.48 % (4107157)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=321921049:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.56/1.48 % (4107154)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2035425159:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.56/1.48 % (4107156)lrs+10_1_sil=8000:sp=occurrence:random_seed=2260104286:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.56/1.48 % (4107155)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=686798210:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.56/1.48 % (4107159)Also succeeded, but the first one will report.
% 3.56/1.48 % (4107157)Also succeeded, but the first one will report.
% 3.56/1.48 % (4107158)Also succeeded, but the first one will report.
% 3.56/1.48 % (4107156)First to succeed.
% 3.56/1.48 % (4107156)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4107120"
% 3.56/1.48 % (4107156)Refutation found. Thanks to Tanya!
% 3.56/1.48 % SZS status Unsatisfiable for theBenchmark
% 3.56/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 3.56/1.48 % (4107156)------------------------------
% 3.56/1.48 % (4107156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.48 % (4107156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.48 % (4107156)CaDiCaL version: 2.1.3
% 3.56/1.48 % (4107156)Termination reason: Refutation
% 3.56/1.48 % (4107156)Time elapsed: 0.001 s
% 3.56/1.48 % (4107156)Peak memory usage: 87 MB
% 3.56/1.48 % (4107156)------------------------------
% 3.56/1.48 % (4107156)------------------------------
% 3.56/1.48 % (4107120)Success in time 0.414 s
% 3.56/1.48 % Vampire exiting
%------------------------------------------------------------------------------