%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET848-1 : 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 : n005.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 12:44:48 PM UTC 2026
% Result : Unsatisfiable 1.90s 0.82s
% Output : Refutation 1.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 26 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f206,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_minus(X1,X3,tc_set(X2)),X2)
| c_in(X0,X3,X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_ODiffI_0) ).
fof(f383,axiom,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).
fof(f1436,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_in(X0,c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__chain__lemma4_0) ).
fof(f1440,axiom,
! [X2,X0,X1] :
( c_Zorn_Osucc(X1,X0,X2) != X0
| ~ c_in(X0,c_minus(c_Zorn_Ochain(X1,X2),c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(tc_set(X2)))),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Osucc__not__equals_0) ).
fof(f1441,negated_conjecture,
~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
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/sandbox/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(f1534,plain,
! [X0,X1] : ~ c_lessequals(X0,X0,tc_set(X1)),
inference(consistent_polarity_flipping,[],[f383]) ).
fof(f1697,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(f5558,plain,
! [X2,X0,X1] :
( c_in(c_Union(X0,tc_set(X2)),c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(tc_set(X2)))) ),
inference(resolution,[],[f1697,f1436]) ).
fof(f5861,plain,
( c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))
| ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_minus(c_Zorn_Ochain(v_S,t_a),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),tc_set(tc_set(t_a))) ),
inference(superposition,[],[f1440,f1443]) ).
fof(f5862,plain,
~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_minus(c_Zorn_Ochain(v_S,t_a),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),tc_set(tc_set(t_a))),
inference(trivial_inequality_removal,[],[f5861]) ).
fof(f5863,plain,
( c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f5862,f206]) ).
fof(f5866,plain,
~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),
inference(forward_subsumption_resolution,[],[f5863,f1441]) ).
fof(f11943,plain,
c_lessequals(c_Zorn_OTFin(v_S,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),
inference(resolution,[],[f5558,f5866]) ).
fof(f11961,plain,
$false,
inference(forward_subsumption_resolution,[],[f11943,f1534]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET848-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n005.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 03:00:02 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 1.90/0.82 % (387852)Will run a generic schedule for satisfiability detection.
% 1.90/0.82 % (387862)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2481089049:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.90/0.82 % (387858)% WARNING: option uhcvi not known.
% 1.90/0.82 % (387857)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=551822533_2999 on theBenchmark for (2999ds/0Mi)
% 1.90/0.82 % (387858)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=753270516:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.90/0.82 % (387859)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3291231694:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.90/0.82 % (387860)dis+10_1_sil=32000:sp=arity:random_seed=3123016613:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.90/0.82 % (387861)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1600907624:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.90/0.82 % (387863)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3886227565:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.90/0.82 % (387862)Instruction limit reached!
% 1.90/0.82 % (387862)------------------------------
% 1.90/0.82 % (387862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.90/0.82 % (387862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.90/0.82 % (387862)CaDiCaL version: 2.1.3
% 1.90/0.82 % (387862)Termination reason: Instruction limit
% 1.90/0.82 % (387862)Termination phase: Saturation
% 1.90/0.82 % (387862)Time elapsed: 0.045 s
% 1.90/0.82 % (387862)Peak memory usage: 15 MB
% 1.90/0.82 % (387862)Instructions burned: 137 (million)
% 1.90/0.82 % (387871)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1051091353:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.90/0.82 % TRYING [1]
% 1.90/0.82 % TRYING [2]
% 1.90/0.82 % (387860)Instruction limit reached!
% 1.90/0.82 % (387860)------------------------------
% 1.90/0.82 % (387860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.90/0.82 % (387860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.90/0.82 % (387860)CaDiCaL version: 2.1.3
% 1.90/0.82 % (387860)Termination reason: Instruction limit
% 1.90/0.82 % (387860)Termination phase: Saturation
% 1.90/0.82 % (387860)Time elapsed: 0.068 s
% 1.90/0.82 % (387860)Peak memory usage: 13 MB
% 1.90/0.82 % (387860)Instructions burned: 104 (million)
% 1.90/0.82 % (387861)Instruction limit reached!
% 1.90/0.82 % (387861)------------------------------
% 1.90/0.82 % (387861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.90/0.82 % (387861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.90/0.82 % (387861)CaDiCaL version: 2.1.3
% 1.90/0.82 % (387861)Termination reason: Instruction limit
% 1.90/0.82 % (387861)Termination phase: Saturation
% 1.90/0.82 % (387861)Time elapsed: 0.073 s
% 1.90/0.82 % (387861)Peak memory usage: 14 MB
% 1.90/0.82 % (387861)Instructions burned: 116 (million)
% 1.90/0.82 % TRYING [1]
% 1.90/0.82 % TRYING [2]
% 1.90/0.82 % (387873)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1691843419:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.90/0.82 % (387874)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=1118386270:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.90/0.82 % TRYING [3]
% 1.90/0.82 % (387863)Instruction limit reached!
% 1.90/0.82 % (387863)------------------------------
% 1.90/0.82 % (387863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.90/0.82 % (387863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.90/0.82 % (387863)CaDiCaL version: 2.1.3
% 1.90/0.82 % (387863)Termination reason: Instruction limit
% 1.90/0.82 % (387863)Termination phase: Saturation
% 1.90/0.82 % (387863)Time elapsed: 0.099 s
% 1.90/0.82 % (387863)Peak memory usage: 14 MB
% 1.90/0.82 % (387863)Instructions burned: 159 (million)
% 1.90/0.82 % TRYING [3]
% 1.90/0.82 % (387877)ott-21_1_sil=16000:fs=off:random_seed=121976518:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.90/0.82 % (387873)Instruction limit reached!
% 1.90/0.82 % (387873)------------------------------
% 1.90/0.82 % (387873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.90/0.82 % (387873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.90/0.82 % (387873)CaDiCaL version: 2.1.3
% 1.90/0.82 % (387873)Termination reason: Instruction limit
% 1.90/0.82 % (387873)Termination phase: Saturation
% 1.90/0.82 % (387873)Time elapsed: 0.081 s
% 1.90/0.82 % (387873)Peak memory usage: 15 MB
% 1.90/0.82 % (387873)Instructions burned: 132 (million)
% 1.90/0.82 % (387879)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1946198576:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.90/0.82 % (387871)Instruction limit reached!
% 1.90/0.82 % (387871)------------------------------
% 1.90/0.82 % (387871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.90/0.82 % (387871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.90/0.82 % (387871)CaDiCaL version: 2.1.3
% 1.90/0.82 % (387871)Termination reason: Instruction limit
% 1.90/0.82 % (387871)Termination phase: Finite model building constraint generation
% 1.90/0.82 % (387871)Time elapsed: 0.157 s
% 1.90/0.82 % (387871)Peak memory usage: 49 MB
% 1.90/0.82 % (387871)Instructions burned: 717 (million)
% 1.90/0.82 % (387881)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=855546121:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.90/0.82 % (387877)Instruction limit reached!
% 1.90/0.82 % (387877)------------------------------
% 1.90/0.82 % (387877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.90/0.82 % (387877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.90/0.82 % (387877)CaDiCaL version: 2.1.3
% 1.90/0.82 % (387877)Termination reason: Instruction limit
% 1.90/0.82 % (387877)Termination phase: Saturation
% 1.90/0.82 % (387877)Time elapsed: 0.103 s
% 1.90/0.82 % (387877)Peak memory usage: 14 MB
% 1.90/0.82 % (387877)Instructions burned: 181 (million)
% 1.90/0.82 % (387883)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3957299728:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.90/0.82 % TRYING [1]
% 1.90/0.82 % TRYING [2]
% 1.90/0.82 % (387858) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-387852-387858"...
% 1.90/0.82 % (387858)...printing done.
% 1.90/0.82 % (387858)Refutation found. Thanks to Tanya!
% 1.90/0.82 % SZS status Unsatisfiable for theBenchmark
% 1.90/0.82 % SZS output start Proof for theBenchmark
% See solution above
% 1.90/0.82 % (387858)------------------------------
% 1.90/0.82 % (387858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.90/0.82 % (387858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.90/0.82 % (387858)CaDiCaL version: 2.1.3
% 1.90/0.82 % (387858)Termination reason: Refutation
% 1.90/0.82 % (387858)Time elapsed: 0.312 s
% 1.90/0.82 % (387858)Peak memory usage: 18 MB
% 1.90/0.82 % (387858)Instructions burned: 514 (million)
% 1.90/0.82 % (387852)Success in time 0.387 s
% 1.90/0.82 % Vampire exiting
%------------------------------------------------------------------------------