%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET849-1 : 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 : n006.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 1.21s 0.63s
% Output : Refutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 15 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 16 ( 16 !; 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(f1435,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(tc_set(X2))))
| c_in(c_Union(X0,tc_set(X2)),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).
fof(f1439,axiom,
! [X0,X1] :
( ~ c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1)))
| c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)) = c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Oequal__succ__Union_1) ).
fof(f1442,negated_conjecture,
c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a) != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1443,plain,
c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) != c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),
inference(reorient_equations,[],[f1442]) ).
fof(f1780,plain,
! [X2,X0,X1] :
( ~ c_in(c_Union(X0,tc_set(X2)),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(tc_set(X2)))) ),
inference(consistent_polarity_flipping,[],[f1435]) ).
fof(f1783,plain,
! [X0,X1] :
( c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1)))
| c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)) = c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1) ),
inference(consistent_polarity_flipping,[],[f1439]) ).
fof(f3308,plain,
! [X0,X1] :
( c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)) = c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1)
| ~ c_lessequals(c_Zorn_OTFin(X0,X1),c_Zorn_OTFin(X0,X1),tc_set(tc_set(tc_set(X1)))) ),
inference(resolution,[],[f1783,f1780]) ).
fof(f3311,plain,
! [X0,X1] : c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)) = c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1),
inference(forward_subsumption_resolution,[],[f3308,f383]) ).
fof(f5040,plain,
$false,
inference(backward_subsumption_resolution,[],[f1443,f3311]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET849-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n006.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 03:00:26 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 1.21/0.63 % (3541831)Will run a generic schedule for satisfiability detection.
% 1.21/0.63 % (3541838)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3252316874:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.21/0.63 % (3541837)% WARNING: option uhcvi not known.
% 1.21/0.63 % (3541836)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3398518173_2999 on theBenchmark for (2999ds/0Mi)
% 1.21/0.63 % (3541837)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=187658153:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.21/0.63 % (3541839)dis+10_1_sil=32000:sp=arity:random_seed=1263063162:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.21/0.63 % (3541842)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=552459107:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.21/0.63 % (3541840)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1720164723:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.21/0.63 % (3541841)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=919487412:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.21/0.63 % TRYING [1]
% 1.21/0.63 % TRYING [2]
% 1.21/0.63 % (3541839)Instruction limit reached!
% 1.21/0.63 % (3541839)------------------------------
% 1.21/0.63 % (3541839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.63 % (3541839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.63 % (3541839)CaDiCaL version: 2.1.3
% 1.21/0.63 % (3541839)Termination reason: Instruction limit
% 1.21/0.63 % (3541839)Termination phase: Saturation
% 1.21/0.63 % (3541839)Time elapsed: 0.068 s
% 1.21/0.63 % (3541839)Peak memory usage: 13 MB
% 1.21/0.63 % (3541839)Instructions burned: 103 (million)
% 1.21/0.63 % (3541840)Instruction limit reached!
% 1.21/0.63 % (3541840)------------------------------
% 1.21/0.63 % (3541840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.63 % (3541840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.63 % (3541840)CaDiCaL version: 2.1.3
% 1.21/0.63 % (3541840)Termination reason: Instruction limit
% 1.21/0.63 % (3541840)Termination phase: Saturation
% 1.21/0.63 % (3541840)Time elapsed: 0.073 s
% 1.21/0.63 % (3541840)Peak memory usage: 14 MB
% 1.21/0.63 % (3541840)Instructions burned: 116 (million)
% 1.21/0.63 % (3541841)Instruction limit reached!
% 1.21/0.63 % (3541841)------------------------------
% 1.21/0.63 % (3541841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.63 % (3541841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.63 % (3541841)CaDiCaL version: 2.1.3
% 1.21/0.63 % (3541841)Termination reason: Instruction limit
% 1.21/0.63 % (3541841)Termination phase: Saturation
% 1.21/0.63 % (3541841)Time elapsed: 0.083 s
% 1.21/0.63 % (3541841)Peak memory usage: 14 MB
% 1.21/0.63 % (3541841)Instructions burned: 131 (million)
% 1.21/0.63 % (3541850)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2169443135:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.21/0.63 % (3541851)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1434461401:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.21/0.63 % TRYING [3]
% 1.21/0.63 % (3541842)Instruction limit reached!
% 1.21/0.63 % (3541842)------------------------------
% 1.21/0.63 % (3541842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.63 % (3541842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.63 % (3541842)CaDiCaL version: 2.1.3
% 1.21/0.63 % (3541842)Termination reason: Instruction limit
% 1.21/0.63 % (3541842)Termination phase: Saturation
% 1.21/0.63 % (3541842)Time elapsed: 0.098 s
% 1.21/0.63 % (3541842)Peak memory usage: 14 MB
% 1.21/0.63 % (3541842)Instructions burned: 160 (million)
% 1.21/0.63 % (3541852)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2196891212:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.21/0.63 % (3541855)ott-21_1_sil=16000:fs=off:random_seed=3825051403:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.21/0.63 % (3541837) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3541831-3541837"...
% 1.21/0.63 % TRYING [1]
% 1.21/0.63 % (3541837)...printing done.
% 1.21/0.63 % (3541837)Refutation found. Thanks to Tanya!
% 1.21/0.63 % SZS status Unsatisfiable for theBenchmark
% 1.21/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.21/0.63 % (3541837)------------------------------
% 1.21/0.63 % (3541837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.63 % (3541837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.63 % (3541837)CaDiCaL version: 2.1.3
% 1.21/0.63 % (3541837)Termination reason: Refutation
% 1.21/0.63 % (3541837)Time elapsed: 0.145 s
% 1.21/0.63 % (3541837)Peak memory usage: 15 MB
% 1.21/0.63 % (3541837)Instructions burned: 229 (million)
% 1.21/0.63 % (3541831)Success in time 0.204 s
% 1.21/0.63 % Vampire exiting
%------------------------------------------------------------------------------