%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET082-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 12:43:01 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.46s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 19 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f125,axiom,
! [X0,X1] :
( member(X0,universal_class)
| member(X1,universal_class)
| unordered_pair(X0,X1) = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',null_unordered_pair) ).
fof(f138,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_is_null_class_1) ).
fof(f139,negated_conjecture,
singleton(x) != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_is_null_class_2) ).
fof(f140,plain,
null_class != singleton(x),
inference(reorient_equations,[],[f139]) ).
fof(f206,plain,
null_class != unordered_pair(x,x),
inference(definition_unfolding,[],[f140,f12]) ).
fof(f304,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f393,plain,
! [X0] : ~ member(x,X0),
inference(resolution,[],[f304,f138]) ).
fof(f521,plain,
! [X0] :
( member(X0,universal_class)
| null_class = unordered_pair(x,X0) ),
inference(resolution,[],[f125,f393]) ).
fof(f594,plain,
null_class = unordered_pair(x,x),
inference(resolution,[],[f521,f393]) ).
fof(f598,plain,
$false,
inference(forward_subsumption_resolution,[],[f594,f206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET082-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 00:32:40 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.46 % (1925798)Will run a generic schedule for satisfiability detection.
% 0.10/0.46 % (1925803)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3011920332_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.46 % (1925808)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=11313102:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.46 % (1925805)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1346173375:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.46 % (1925806)dis+10_1_sil=32000:sp=arity:random_seed=2759316622:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.46 % (1925807)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=47847885:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.46 % (1925809)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=753115353:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.46 % (1925804)% WARNING: option uhcvi not known.
% 0.10/0.46 % (1925804)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3181978941:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.46 % (1925807) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1925798-1925807"...
% 0.10/0.46 % (1925806) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1925798-1925806"...
% 0.10/0.46 % (1925808) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1925798-1925808"...
% 0.10/0.46 % (1925807)...printing done.
% 0.10/0.46 % (1925806)...printing done.
% 0.10/0.46 % (1925808)...printing done.
% 0.10/0.46 % (1925807)Refutation found. Thanks to Tanya!
% 0.10/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.46 % (1925807)------------------------------
% 0.10/0.46 % (1925807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.46 % (1925807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.46 % (1925807)CaDiCaL version: 2.1.3
% 0.10/0.46 % (1925807)Termination reason: Refutation
% 0.10/0.46 % (1925807)Time elapsed: 0.016 s
% 0.10/0.46 % (1925807)Peak memory usage: 12 MB
% 0.10/0.46 % (1925807)Instructions burned: 24 (million)
% 0.10/0.46 % (1925798)Success in time 0.055 s
% 0.10/0.46 % Vampire exiting
%------------------------------------------------------------------------------