%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET024-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 12:39:39 PM UTC 2026
% Result : Unsatisfiable 3.33s 1.38s
% Output : Refutation 3.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 6 unt; 0 def)
% Number of atoms : 8 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 4 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 3 ( 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f101,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_set_in_its_singleton_1) ).
fof(f102,negated_conjecture,
~ member(x,singleton(x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_set_in_its_singleton_2) ).
fof(f111,plain,
~ member(x,unordered_pair(x,x)),
inference(definition_unfolding,[],[f102,f12]) ).
fof(f173,plain,
~ member(x,universal_class),
inference(resolution,[],[f9,f111]) ).
fof(f174,plain,
$false,
inference(resolution,[],[f173,f101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET024-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 % Computer : n026.cluster.edu
% 0.12/0.41 % Model : x86_64 x86_64
% 0.12/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41 % Memory : 8046.5625MB
% 0.12/0.41 % OS : Linux 6.8.0-71-generic
% 0.12/0.41 % CPULimit : 300
% 0.12/0.41 % WCLimit : 300
% 0.12/0.41 % DateTime : Mon Sep 28 00:14:27 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.33/1.38 % (3357836)Input is clausal, will run a generic CNF schedule.
% 3.33/1.38 % (3357845)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=780421869:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.33/1.38 % (3357841)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=3684969622:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.33/1.38 % (3357842)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3620900871:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.33/1.38 % (3357844)lrs+10_1_sil=8000:sp=occurrence:random_seed=3558581219:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.33/1.38 % (3357847)dis-21_1_sil=8000:lcm=predicate:random_seed=2413739651: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)
% 3.33/1.38 % (3357843)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4292670440:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.33/1.38 % (3357846)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3573386137:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.33/1.38 % (3357844)Refutation not found, incomplete strategy
% 3.33/1.38 % (3357844)------------------------------
% 3.33/1.38 % (3357844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.33/1.38 % (3357844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.38 % (3357844)CaDiCaL version: 2.1.3
% 3.33/1.38 % (3357844)Termination reason: Refutation not found, incomplete strategy
% 3.33/1.38 % (3357844)Time elapsed: 0.001 s
% 3.33/1.38 % (3357844)Peak memory usage: 87 MB
% 3.33/1.38 % (3357847)First to succeed.
% 3.33/1.38 % (3357846)Also succeeded, but the first one will report.
% 3.33/1.38 % (3357847)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3357836"
% 3.33/1.38 % (3357845)Instruction limit reached!
% 3.33/1.38 % (3357845)------------------------------
% 3.33/1.38 % (3357845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.33/1.38 % (3357845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.38 % (3357845)CaDiCaL version: 2.1.3
% 3.33/1.38 % (3357845)Termination reason: Instruction limit
% 3.33/1.38 % (3357845)Termination phase: Saturation
% 3.33/1.38 % (3357845)Time elapsed: 0.037 s
% 3.33/1.38 % (3357845)Peak memory usage: 89 MB
% 3.33/1.38 % (3357845)Instructions burned: 115 (million)
% 3.33/1.38 % (3357855)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=3432108172:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.33/1.38 % (3357855)Refutation not found, incomplete strategy
% 3.33/1.38 % (3357855)------------------------------
% 3.33/1.38 % (3357855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.33/1.38 % (3357855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.38 % (3357855)CaDiCaL version: 2.1.3
% 3.33/1.38 % (3357855)Termination reason: Refutation not found, incomplete strategy
% 3.33/1.38 % (3357855)Time elapsed: 0.001 s
% 3.33/1.38 % (3357855)Peak memory usage: 88 MB
% 3.33/1.38 % (3357855)Instructions burned: 3 (million)
% 3.33/1.38 % (3357844)------------------------------
% 3.33/1.38 % (3357844)------------------------------
% 3.33/1.38 % (3357855)------------------------------
% 3.33/1.38 % (3357855)------------------------------
% 3.33/1.38 % (3357847)Refutation found. Thanks to Tanya!
% 3.33/1.38 % SZS status Unsatisfiable for theBenchmark
% 3.33/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 3.33/1.39 % (3357847)------------------------------
% 3.33/1.39 % (3357847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.33/1.39 % (3357847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.39 % (3357847)CaDiCaL version: 2.1.3
% 3.33/1.39 % (3357847)Termination reason: Refutation
% 3.33/1.39 % (3357847)Time elapsed: 0.004 s
% 3.33/1.39 % (3357847)Peak memory usage: 88 MB
% 3.33/1.39 % (3357847)Instructions burned: 5 (million)
% 3.33/1.39 % (3357847)------------------------------
% 3.33/1.39 % (3357847)------------------------------
% 3.33/1.39 % (3357836)Success in time 0.403 s
% 3.33/1.39 % Vampire exiting
%------------------------------------------------------------------------------