%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET841-1 : 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 : n015.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 12:44:46 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.55s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 13 unt; 1 def)
% Number of atoms : 37 ( 8 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 33 ( 18 ~; 14 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f383,axiom,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__refl_0) ).
fof(f1434,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(X0,X3,tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| X0 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__subsetD_0) ).
fof(f1435,negated_conjecture,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1436,negated_conjecture,
v_m = c_Zorn_Osucc(v_S,v_m,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1437,negated_conjecture,
c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1438,negated_conjecture,
c_lessequals(v_x,v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1439,negated_conjecture,
~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f2079,definition,
( spl0_1
<=> v_m = v_x ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f2081,plain,
( v_m = v_x
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f2079]) ).
fof(f3087,plain,
( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))
| ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| v_m = v_x ),
inference(resolution,[],[f1434,f1439]) ).
fof(f3095,plain,
( ~ c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))
| ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| v_m = v_x ),
inference(forward_subsumption_resolution,[],[f3087,f1435]) ).
fof(f3096,plain,
( ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| v_m = v_x ),
inference(forward_subsumption_resolution,[],[f3095,f1438]) ).
fof(f3097,plain,
v_m = v_x,
inference(forward_subsumption_resolution,[],[f3096,f1437]) ).
fof(f3098,plain,
spl0_1,
inference(avatar_split_clause,[],[f3097,f2079]) ).
fof(f3101,plain,
( ~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a)))
| ~ spl0_1 ),
inference(superposition,[],[f1439,f2081]) ).
fof(f3141,plain,
( ~ c_lessequals(v_m,v_m,tc_set(tc_set(t_a)))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f3101,f1436]) ).
fof(f3142,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f3141,f383]) ).
fof(f3143,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f3142]) ).
cnf(s10,plain,
spl0_1,
inference(sat_conversion,[],[f3098]) ).
cnf(s13,plain,
~ spl0_1,
inference(sat_conversion,[],[f3143]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s10,s13]) ).
fof(f3144,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET841-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n015.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 03:01:32 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
% 0.17/0.55 % (2216858)Will run a generic schedule for satisfiability detection.
% 0.17/0.55 % (2216865)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2261701894:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.55 % (2216864)% WARNING: option uhcvi not known.
% 0.17/0.55 % (2216863)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1429028451_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.55 % (2216864)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2094756131:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.55 % (2216866)dis+10_1_sil=32000:sp=arity:random_seed=3189890545:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.55 % (2216867)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1128452240:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.55 % (2216869)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1673466306:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.55 % (2216868)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3759754210:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.55 % TRYING [1]
% 0.17/0.55 % TRYING [2]
% 0.17/0.55 % (2216866) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2216858-2216866"...
% 0.17/0.55 % (2216864) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2216858-2216864"...
% 0.17/0.55 % (2216866)...printing done.
% 0.17/0.55 % (2216864)...printing done.
% 0.17/0.55 % (2216866)Refutation found. Thanks to Tanya!
% 0.17/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.55 % (2216866)------------------------------
% 0.17/0.55 % (2216866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.55 % (2216866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.55 % (2216866)CaDiCaL version: 2.1.3
% 0.17/0.55 % (2216866)Termination reason: Refutation
% 0.17/0.55 % (2216866)Time elapsed: 0.063 s
% 0.17/0.55 % (2216866)Peak memory usage: 14 MB
% 0.17/0.55 % (2216866)Instructions burned: 93 (million)
% 0.17/0.55 % (2216858)Success in time 0.128 s
% 0.17/0.55 % Vampire exiting
%------------------------------------------------------------------------------