%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET851-2 : 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 : n001.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 12:44:49 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 13 unt; 3 def)
% Number of atoms : 54 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 47 ( 23 ~; 21 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(X0,c_Zorn_Osucc(X3,X1,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(X0,X1,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Osucc__trans_0) ).
fof(f3,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_1) ).
fof(f4,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_2) ).
fof(f5,negated_conjecture,
~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f6,negated_conjecture,
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_x,tc_set(tc_set(t_a)))
| c_lessequals(v_x,v_m,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f7,negated_conjecture,
! [X0] :
( c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_m,tc_set(tc_set(t_a)))
| X0 = v_m
| ~ c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f8,plain,
! [X0] :
( c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_m,tc_set(tc_set(t_a)))
| v_m = X0
| ~ c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,plain,
~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f10,plain,
! [X0] :
( c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_m,tc_set(tc_set(t_a)))
| v_m = X0
| ~ c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f12,definition,
( spl0_1
<=> c_lessequals(v_x,v_m,tc_set(tc_set(t_a))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f16,definition,
( spl0_2
<=> c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_x,tc_set(tc_set(t_a))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f19,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f6,f16,f12]) ).
fof(f20,plain,
( v_x = v_m
| ~ 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))) ),
inference(resolution,[],[f10,f4]) ).
fof(f21,plain,
( v_x = v_m
| ~ c_lessequals(v_x,v_m,tc_set(tc_set(t_a))) ),
inference(forward_subsumption_resolution,[],[f20,f9]) ).
fof(f23,definition,
( spl0_3
<=> v_x = v_m ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f25,plain,
( v_x = v_m
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f26,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f21,f23,f12]) ).
fof(f27,plain,
~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_x,tc_set(tc_set(t_a))),
inference(resolution,[],[f2,f5]) ).
fof(f30,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f27,f16]) ).
fof(f31,plain,
( ~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_Osucc(v_S,v_m,t_a),tc_set(tc_set(t_a)))
| ~ spl0_3 ),
inference(superposition,[],[f5,f25]) ).
fof(f34,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f31,f1]) ).
fof(f35,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f34]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f19]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f26]) ).
cnf(s4,plain,
~ spl0_2,
inference(sat_conversion,[],[f30]) ).
cnf(s5,plain,
~ spl0_3,
inference(sat_conversion,[],[f35]) ).
cnf(s6,plain,
~ spl0_1,
inference(rat,[],[s2,s5]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s4,s6]) ).
fof(f36,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET851-2 : 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 : n001.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 03:07:18 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
% 0.18/0.47 % (4173144)Will run a generic schedule for satisfiability detection.
% 0.18/0.47 % (4173149)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=690055533_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.47 % TRYING [1]
% 0.18/0.47 % TRYING [2]
% 0.18/0.47 % TRYING [3]
% 0.18/0.47 % TRYING [4]
% 0.18/0.47 % TRYING [5]
% 0.18/0.47 % (4173150)% WARNING: option uhcvi not known.
% 0.18/0.47 % TRYING [6]
% 0.18/0.47 % (4173150)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3146947267:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.47 % (4173154)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1478652012:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.47 % (4173151)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3199511:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.47 % (4173152)dis+10_1_sil=32000:sp=arity:random_seed=2525509326:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.47 % (4173153)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3583546547:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.47 % (4173155)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=110830256:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.47 % (4173150) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4173144-4173150"...
% 0.18/0.47 % (4173154) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4173144-4173154"...
% 0.18/0.47 % (4173152) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4173144-4173152"...
% 0.18/0.47 % (4173153) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4173144-4173153"...
% 0.18/0.47 % (4173155) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4173144-4173155"...
% 0.18/0.47 % (4173154)...printing done.
% 0.18/0.47 % (4173150)...printing done.
% 0.18/0.47 % (4173152)...printing done.
% 0.18/0.47 % (4173151) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4173144-4173151"...
% 0.18/0.47 % (4173153)...printing done.
% 0.18/0.47 % TRYING [7]
% 0.18/0.47 % (4173155)...printing done.
% 0.18/0.47 % (4173150)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (4173150)------------------------------
% 0.18/0.47 % (4173150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47 % (4173150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47 % (4173150)CaDiCaL version: 2.1.3
% 0.18/0.47 % (4173150)Termination reason: Refutation
% 0.18/0.47 % (4173150)Time elapsed: 0.002 s
% 0.18/0.47 % (4173150)Peak memory usage: 12 MB
% 0.18/0.47 % (4173150)Instructions burned: 1 (million)
% 0.18/0.47 % (4173144)Success in time 0.048 s
% 0.18/0.47 % Vampire exiting
%------------------------------------------------------------------------------