%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET845-1 : 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 : 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 12:44:47 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 32 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 16 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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; 0-3 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f381,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X1,X0,tc_set(X2))
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__antisym_0) ).
fof(f382,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X1,X0,tc_set(X2))
| X0 = X1 ),
inference(reorient_equations,[],[f381]) ).
fof(f1436,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,X1,tc_set(X2))
| c_lessequals(X0,c_Union(X1,X2),tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnion__upper_0) ).
fof(f1437,axiom,
! [X2,X0,X1] : c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).
fof(f1438,axiom,
! [X2,X0,X1] :
( c_in(c_Zorn_Osucc(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin_OsuccI_0) ).
fof(f1442,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(f1443,negated_conjecture,
v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1444,negated_conjecture,
v_m != c_Zorn_Osucc(v_S,v_m,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1534,plain,
! [X2,X0,X1] :
( c_lessequals(X0,X1,tc_set(X2))
| c_lessequals(X1,X0,tc_set(X2))
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f382]) ).
fof(f1691,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,c_Union(X1,X2),tc_set(X2))
| ~ c_in(X0,X1,tc_set(X2)) ),
inference(consistent_polarity_flipping,[],[f1436]) ).
fof(f1692,plain,
! [X2,X0,X1] : ~ c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))),
inference(consistent_polarity_flipping,[],[f1437]) ).
fof(f2209,plain,
! [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(superposition,[],[f1691,f1443]) ).
fof(f2289,plain,
! [X0] :
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| v_m = X0
| c_lessequals(v_m,X0,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f1534,f2209]) ).
fof(f2629,plain,
! [X0] :
( c_lessequals(v_m,c_Zorn_Osucc(v_S,X0,t_a),tc_set(tc_set(t_a)))
| v_m = c_Zorn_Osucc(v_S,X0,t_a)
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f1438,f2289]) ).
fof(f2658,plain,
( v_m = c_Zorn_Osucc(v_S,v_m,t_a)
| ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f2629,f1692]) ).
fof(f2662,plain,
~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(forward_subsumption_resolution,[],[f2658,f1444]) ).
fof(f2663,plain,
$false,
inference(forward_subsumption_resolution,[],[f2662,f1442]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET845-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n001.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 03:05:32 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 0.21/0.54 % (4170189)Will run a generic schedule for satisfiability detection.
% 0.21/0.54 % (4170198)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2533208753:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.54 % (4170195)% WARNING: option uhcvi not known.
% 0.21/0.54 % (4170194)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1494950444_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.54 % (4170195)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3484664865:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.54 % (4170196)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3575562612:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.54 % (4170197)dis+10_1_sil=32000:sp=arity:random_seed=2172946841:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.54 % (4170199)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1495754361:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.54 % (4170200)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1363809881:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.54 % (4170198)Instruction limit reached!
% 0.21/0.54 % (4170198)------------------------------
% 0.21/0.54 % (4170198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.54 % (4170198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.54 % (4170198)CaDiCaL version: 2.1.3
% 0.21/0.54 % (4170198)Termination reason: Instruction limit
% 0.21/0.54 % (4170198)Termination phase: Saturation
% 0.21/0.54 % (4170198)Time elapsed: 0.041 s
% 0.21/0.54 % (4170198)Peak memory usage: 14 MB
% 0.21/0.54 % (4170198)Instructions burned: 117 (million)
% 0.21/0.54 % (4170208)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2709532872:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.21/0.54 % (4170195) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4170189-4170195"...
% 0.21/0.54 % (4170195)...printing done.
% 0.21/0.54 % (4170195)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (4170195)------------------------------
% 0.21/0.54 % (4170195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.54 % (4170195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.54 % (4170195)CaDiCaL version: 2.1.3
% 0.21/0.54 % (4170195)Termination reason: Refutation
% 0.21/0.54 % (4170195)Time elapsed: 0.047 s
% 0.21/0.54 % (4170195)Peak memory usage: 13 MB
% 0.21/0.54 % (4170195)Instructions burned: 66 (million)
% 0.21/0.54 % (4170189)Success in time 0.105 s
% 0.21/0.54 % Vampire exiting
%------------------------------------------------------------------------------