%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET848-2 : 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 12:44:48 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.43s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 11 unt; 0 def)
% Number of atoms : 34 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 20 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,X3,X2)
| c_in(X0,c_minus(X1,X3,tc_set(X2)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_ODiffI_0) ).
fof(f2,axiom,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f3,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(f4,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(f5,axiom,
! [X2,X0,X1] :
( ~ 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)))
| c_Zorn_Osucc(X1,X0,X2) != X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Osucc__not__equals_0) ).
fof(f6,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(f7,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(f8,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,[],[f7]) ).
fof(f9,plain,
! [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) ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f10,plain,
! [X0,X1] : ~ c_lessequals(X0,X0,tc_set(X1)),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f11,plain,
! [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))) ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f12,plain,
! [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))) ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f13,plain,
! [X2,X0,X1] :
( 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)))
| c_Zorn_Osucc(X1,X0,X2) != X0 ),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f14,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))),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f15,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))),
inference(resolution,[],[f11,f10]) ).
fof(f16,plain,
! [X0,X1] : ~ c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_Ochain(X0,X1),tc_set(tc_set(X1))),
inference(resolution,[],[f15,f12]) ).
fof(f17,plain,
! [X2,X0,X1] :
( c_in(X1,c_Zorn_Ochain(X0,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_Omaxchain(X0,X2),tc_set(tc_set(X2)))
| c_Zorn_Osucc(X0,X1,X2) != X1 ),
inference(resolution,[],[f13,f9]) ).
fof(f18,plain,
! [X0,X1] :
( ~ c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_Omaxchain(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(resolution,[],[f17,f16]) ).
fof(f19,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(resolution,[],[f18,f14]) ).
fof(f20,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,[],[f19,f8]) ).
fof(f21,plain,
$false,
inference(trivial_inequality_removal,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET848-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n015.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 28 03:03:46 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39 Running first-order model finding
% 0.09/0.39 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
% 0.09/0.43 % (2220123)Will run a generic schedule for satisfiability detection.
% 0.09/0.43 % (2220134)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2771475070:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.43 % (2220134) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2220123-2220134"...
% 0.09/0.43 % (2220134)...printing done.
% 0.09/0.43 % (2220134)Refutation found. Thanks to Tanya!
% 0.09/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.43 % (2220134)------------------------------
% 0.09/0.43 % (2220134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.43 % (2220134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.43 % (2220134)CaDiCaL version: 2.1.3
% 0.09/0.43 % (2220134)Termination reason: Refutation
% 0.09/0.43 % (2220134)Time elapsed: 0.001 s
% 0.09/0.43 % (2220134)Peak memory usage: 11 MB
% 0.09/0.43 % (2220134)Instructions burned: 1 (million)
% 0.09/0.43 % (2220123)Success in time 0.03 s
% 0.09/0.43 % Vampire exiting
%------------------------------------------------------------------------------