%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET864-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 12:44:52 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 24 ( 6 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 27 ( 15 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1435,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X3,c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,X1,tc_set(X2))
| ~ c_lessequals(c_Union(X3,X2),X0,tc_set(X2))
| c_Union(X3,X2) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__Zorn_0) ).
fof(f1437,negated_conjecture,
c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1439,negated_conjecture,
c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1440,negated_conjecture,
! [X0] :
( c_in(v_x(X0),v_S,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1441,negated_conjecture,
! [X0] :
( c_lessequals(X0,v_x(X0),tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1442,negated_conjecture,
! [X0] :
( X0 != v_x(X0)
| ~ c_in(X0,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f1443,plain,
! [X0] :
( v_x(X0) != X0
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(reorient_equations,[],[f1442]) ).
fof(f2966,plain,
! [X0] :
( ~ c_lessequals(c_Union(v_c,t_a),X0,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a))
| c_Union(v_c,t_a) = X0 ),
inference(resolution,[],[f1435,f1437]) ).
fof(f2972,plain,
( ~ c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a))
| c_Union(v_c,t_a) = v_x(c_Union(v_c,t_a))
| ~ c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)) ),
inference(resolution,[],[f2966,f1441]) ).
fof(f2976,plain,
( c_Union(v_c,t_a) = v_x(c_Union(v_c,t_a))
| ~ c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)) ),
inference(forward_subsumption_resolution,[],[f2972,f1440]) ).
fof(f2981,plain,
~ c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)),
inference(forward_subsumption_resolution,[],[f2976,f1443]) ).
fof(f2986,plain,
$false,
inference(forward_subsumption_resolution,[],[f2981,f1439]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET864-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n013.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 03:03:21 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50 % (766696)Will run a generic schedule for satisfiability detection.
% 0.19/0.50 % (766704)dis+10_1_sil=32000:sp=arity:random_seed=48501448:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.50 % (766702)% WARNING: option uhcvi not known.
% 0.19/0.50 % (766701)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3680725920_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.50 % (766702)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2339852650:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.50 % (766703)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2423538352:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.50 % (766705)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1560780972:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.50 % (766706)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=842143500:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.50 % (766707)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=123925178:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.50 % (766704) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-766696-766704"...
% 0.19/0.50 % (766704)...printing done.
% 0.19/0.50 % (766704)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (766704)------------------------------
% 0.19/0.50 % (766704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.50 % (766704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.50 % (766704)CaDiCaL version: 2.1.3
% 0.19/0.50 % (766704)Termination reason: Refutation
% 0.19/0.50 % (766704)Time elapsed: 0.031 s
% 0.19/0.50 % (766704)Peak memory usage: 13 MB
% 0.19/0.50 % (766704)Instructions burned: 78 (million)
% 0.19/0.50 % (766696)Success in time 0.078 s
% 0.19/0.50 % Vampire exiting
%------------------------------------------------------------------------------