%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET850-2 : 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 : 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 12:44:49 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.43s
% Output : Refutation 0.14s
% 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 : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(X3,X1,tc_set(X2))
| ~ c_lessequals(X3,X0,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).
fof(f2,axiom,
! [X2,X0,X1] : c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).
fof(f3,negated_conjecture,
c_lessequals(v_x,v_y,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f4,negated_conjecture,
~ c_lessequals(v_x,c_Zorn_Osucc(v_S,v_y,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f5,plain,
! [X0] :
( ~ c_lessequals(v_x,X0,tc_set(tc_set(t_a)))
| ~ c_lessequals(X0,c_Zorn_Osucc(v_S,v_y,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f1,f4]) ).
fof(f7,plain,
~ c_lessequals(v_x,v_y,tc_set(tc_set(t_a))),
inference(resolution,[],[f5,f2]) ).
fof(f9,plain,
$false,
inference(resolution,[],[f7,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET850-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.35 % Computer : n015.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 28 03:04:01 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.39 Running first-order model finding
% 0.14/0.39 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
% 0.14/0.43 % (2220515)Will run a generic schedule for satisfiability detection.
% 0.14/0.43 % (2220520)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2720480030_2999 on theBenchmark for (2999ds/0Mi)
% 0.14/0.43 % TRYING [1]
% 0.14/0.43 % TRYING [2]
% 0.14/0.43 % TRYING [3]
% 0.14/0.43 % TRYING [4]
% 0.14/0.43 % (2220521)% WARNING: option uhcvi not known.
% 0.14/0.43 % TRYING [5]
% 0.14/0.43 % (2220521)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1452743277:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.14/0.43 % (2220522)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1906960524:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.14/0.43 % (2220523)dis+10_1_sil=32000:sp=arity:random_seed=2774367087:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.14/0.43 % (2220526)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2036528027:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.14/0.43 % (2220524)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=670977964:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.14/0.43 % (2220525)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2688583410:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.14/0.43 % (2220523) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2220515-2220523"...
% 0.14/0.43 % (2220526) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2220515-2220526"...
% 0.14/0.43 % (2220525) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2220515-2220525"...
% 0.14/0.43 % (2220522) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2220515-2220522"...
% 0.14/0.43 % (2220524) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2220515-2220524"...
% 0.14/0.43 % (2220521) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2220515-2220521"...
% 0.14/0.43 % TRYING [6]
% 0.14/0.43 % (2220523)...printing done.
% 0.14/0.43 % (2220526)...printing done.
% 0.14/0.43 % (2220525)...printing done.
% 0.14/0.43 % (2220522)...printing done.
% 0.14/0.43 % (2220524)...printing done.
% 0.14/0.43 % (2220521)...printing done.
% 0.14/0.43 % (2220526)Refutation found. Thanks to Tanya!
% 0.14/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.43 % (2220526)------------------------------
% 0.14/0.43 % (2220526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.43 % (2220526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.43 % (2220526)CaDiCaL version: 2.1.3
% 0.14/0.43 % (2220526)Termination reason: Refutation
% 0.14/0.43 % (2220526)Time elapsed: 0.001 s
% 0.14/0.43 % (2220526)Peak memory usage: 11 MB
% 0.14/0.43 % (2220515)Success in time 0.038 s
% 0.14/0.43 % Vampire exiting
%------------------------------------------------------------------------------