%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET828-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 12:44:43 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.36s
% Output : Refutation 0.09s
% 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/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f2,negated_conjecture,
c_lessequals(v_X,v_Y,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3,negated_conjecture,
c_in(v_x,v_X,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f4,negated_conjecture,
~ c_in(v_x,v_Y,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f5,plain,
! [X0] :
( ~ c_in(X0,v_X,t_a)
| c_in(X0,v_Y,t_a) ),
inference(resolution,[],[f1,f2]) ).
fof(f6,plain,
c_in(v_x,v_Y,t_a),
inference(resolution,[],[f5,f3]) ).
fof(f7,plain,
$false,
inference(forward_subsumption_resolution,[],[f6,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET828-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.05/0.31 % Computer : n012.cluster.edu
% 0.05/0.31 % Model : x86_64 x86_64
% 0.05/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.31 % Memory : 8046.5625MB
% 0.05/0.31 % OS : Linux 6.8.0-71-generic
% 0.05/0.31 % CPULimit : 300
% 0.05/0.31 % WCLimit : 300
% 0.05/0.31 % DateTime : Mon Sep 28 02:55:34 UTC 2026
% 0.05/0.31 % CPUTime :
% 0.05/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.33 Running first-order model finding
% 0.09/0.33 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % (2968389)Will run a generic schedule for satisfiability detection.
% 0.09/0.36 % (2968398)% WARNING: option uhcvi not known.
% 0.09/0.36 % (2968399)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3991483696:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.36 % (2968397)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2822375745_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.36 % (2968400)dis+10_1_sil=32000:sp=arity:random_seed=117887602:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.36 % (2968398)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2748773123:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.36 % (2968401)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2835816679:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.36 % (2968402)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1654052493:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.36 % (2968400) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2968389-2968400"...
% 0.09/0.36 % (2968404)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=22361908:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.36 % TRYING [1]
% 0.09/0.36 % (2968398) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2968389-2968398"...
% 0.09/0.36 % (2968399) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2968389-2968399"...
% 0.09/0.36 % TRYING [2]
% 0.09/0.36 % (2968397) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2968389-2968397"...
% 0.09/0.36 % (2968401) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2968389-2968401"...
% 0.09/0.36 % (2968402) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2968389-2968402"...
% 0.09/0.36 % (2968404) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2968389-2968404"...
% 0.09/0.36 % (2968400)...printing done.
% 0.09/0.36 % (2968399)...printing done.
% 0.09/0.36 % (2968398)...printing done.
% 0.09/0.36 % (2968397)...printing done.
% 0.09/0.36 % (2968401)...printing done.
% 0.09/0.36 % (2968402)...printing done.
% 0.09/0.36 % (2968404)...printing done.
% 0.09/0.36 % (2968400)Refutation found. Thanks to Tanya!
% 0.09/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.36 % (2968400)------------------------------
% 0.09/0.36 % (2968400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.36 % (2968400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.36 % (2968400)CaDiCaL version: 2.1.3
% 0.09/0.36 % (2968400)Termination reason: Refutation
% 0.09/0.36 % (2968400)Time elapsed: 0.0000 s
% 0.09/0.36 % (2968400)Peak memory usage: 11 MB
% 0.09/0.36 % (2968389)Success in time 0.024 s
% 0.09/0.36 % Vampire exiting
%------------------------------------------------------------------------------