%------------------------------------------------------------------------------
% File : Vampire---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 THM
% 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 12:42:08 PM UTC 2026
% Result : Unsatisfiable 3.82s 1.55s
% Output : Refutation 3.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 12 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f383,axiom,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f1435,axiom,
! [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)))) ),
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(f1498,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,[],[f1439,f1435]) ).
fof(f1499,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,[],[f1498,f383]) ).
fof(f1502,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)),
inference(superposition,[],[f1443,f1499]) ).
fof(f1506,plain,
$false,
inference(trivial_inequality_removal,[],[f1502]) ).
%------------------------------------------------------------------------------
%----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 THM
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 03:06:32 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.82/1.55 % (4171870)Input is clausal, will run a generic CNF schedule.
% 3.82/1.55 % (4171881)dis-21_1_sil=8000:lcm=predicate:random_seed=291571049:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.82/1.55 % (4171881)Instruction limit reached!
% 3.82/1.55 % (4171881)------------------------------
% 3.82/1.55 % (4171881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.55 % (4171881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.55 % (4171881)CaDiCaL version: 2.1.3
% 3.82/1.55 % (4171881)Termination reason: Instruction limit
% 3.82/1.55 % (4171881)Termination phase: Saturation
% 3.82/1.55 % (4171881)Time elapsed: 0.038 s
% 3.82/1.55 % (4171881)Peak memory usage: 90 MB
% 3.82/1.55 % (4171881)Instructions burned: 117 (million)
% 3.82/1.55 % (4171876)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1437849867:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.82/1.55 % (4171880)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=997248096:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.82/1.55 % (4171877)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1841058027:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.82/1.55 % (4171878)lrs+10_1_sil=8000:sp=occurrence:random_seed=3649394307:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.82/1.55 % (4171875)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=60557365:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.82/1.55 % (4171879)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1875020763:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.82/1.55 % (4171878)First to succeed.
% 3.82/1.55 % (4171878)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4171870"
% 3.82/1.55 % (4171879)Also succeeded, but the first one will report.
% 3.82/1.55 % (4171880)Also succeeded, but the first one will report.
% 3.82/1.55 % (4171889)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=697749649:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.82/1.55 % (4171889)Also succeeded, but the first one will report.
% 3.82/1.55 % (4171878)Refutation found. Thanks to Tanya!
% 3.82/1.55 % SZS status Unsatisfiable for theBenchmark
% 3.82/1.55 % SZS output start Proof for theBenchmark
% See solution above
% 3.82/1.55 % (4171878)------------------------------
% 3.82/1.55 % (4171878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.55 % (4171878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.55 % (4171878)CaDiCaL version: 2.1.3
% 3.82/1.55 % (4171878)Termination reason: Refutation
% 3.82/1.55 % (4171878)Time elapsed: 0.006 s
% 3.82/1.55 % (4171878)Peak memory usage: 89 MB
% 3.82/1.55 % (4171878)Instructions burned: 7 (million)
% 3.82/1.55 % (4171878)------------------------------
% 3.82/1.55 % (4171878)------------------------------
% 3.82/1.55 % (4171870)Success in time 0.476 s
% 3.82/1.55 % Vampire exiting
%------------------------------------------------------------------------------