%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET061-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 12:39:51 PM UTC 2026
% Result : Unsatisfiable 3.43s 1.38s
% Output : Refutation 3.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 9 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 2 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f112,axiom,
! [X0,X1] : ~ member(X0,intersection(complement(X1),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',special_classes_lemma) ).
fof(f113,negated_conjecture,
member(z,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_existence_of_null_class_1) ).
fof(f119,plain,
! [X0] : null_class = intersection(complement(X0),X0),
inference(resolution,[],[f68,f112]) ).
fof(f146,plain,
! [X0] : ~ member(X0,null_class),
inference(superposition,[],[f112,f119]) ).
fof(f163,plain,
$false,
inference(resolution,[],[f146,f113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET061-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n018.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 00:27:25 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 3.43/1.38 % (2885672)Input is clausal, will run a generic CNF schedule.
% 3.43/1.38 % (2885683)dis-21_1_sil=8000:lcm=predicate:random_seed=2644639519: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)
% 3.43/1.38 % (2885680)lrs+10_1_sil=8000:sp=occurrence:random_seed=995000232:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.43/1.38 % (2885677)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=2933757163:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.43/1.38 % (2885678)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3663006938:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.43/1.38 % (2885681)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1822750017:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.43/1.38 % (2885679)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2197542283:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.43/1.38 % (2885683)Instruction limit reached!
% 3.43/1.38 % (2885683)------------------------------
% 3.43/1.38 % (2885683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.38 % (2885683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.38 % (2885683)CaDiCaL version: 2.1.3
% 3.43/1.38 % (2885683)Termination reason: Instruction limit
% 3.43/1.38 % (2885683)Termination phase: Saturation
% 3.43/1.38 % (2885683)Time elapsed: 0.044 s
% 3.43/1.38 % (2885683)Peak memory usage: 89 MB
% 3.43/1.38 % (2885683)Instructions burned: 119 (million)
% 3.43/1.38 % (2885680)Refutation not found, incomplete strategy
% 3.43/1.38 % (2885680)------------------------------
% 3.43/1.38 % (2885680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.38 % (2885680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.38 % (2885680)CaDiCaL version: 2.1.3
% 3.43/1.38 % (2885680)Termination reason: Refutation not found, incomplete strategy
% 3.43/1.38 % (2885680)Time elapsed: 0.001 s
% 3.43/1.38 % (2885680)Peak memory usage: 86 MB
% 3.43/1.38 % (2885682)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1326476372:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.43/1.38 % (2885682)First to succeed.
% 3.43/1.38 % (2885682)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2885672"
% 3.43/1.38 % (2885681)Instruction limit reached!
% 3.43/1.38 % (2885681)------------------------------
% 3.43/1.38 % (2885681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.38 % (2885681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.38 % (2885681)CaDiCaL version: 2.1.3
% 3.43/1.38 % (2885681)Termination reason: Instruction limit
% 3.43/1.38 % (2885681)Termination phase: Saturation
% 3.43/1.38 % (2885681)Time elapsed: 0.068 s
% 3.43/1.38 % (2885681)Peak memory usage: 88 MB
% 3.43/1.38 % (2885681)Instructions burned: 115 (million)
% 3.43/1.38 % (2885690)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=4063553723:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.43/1.38 % (2885690)Refutation not found, incomplete strategy
% 3.43/1.38 % (2885690)------------------------------
% 3.43/1.38 % (2885690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.38 % (2885690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.38 % (2885690)CaDiCaL version: 2.1.3
% 3.43/1.38 % (2885690)Termination reason: Refutation not found, incomplete strategy
% 3.43/1.38 % (2885690)Time elapsed: 0.002 s
% 3.43/1.38 % (2885690)Peak memory usage: 88 MB
% 3.43/1.38 % (2885690)Instructions burned: 3 (million)
% 3.43/1.38 % (2885692)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=203791476:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.43/1.38 % (2885690)------------------------------
% 3.43/1.38 % (2885690)------------------------------
% 3.43/1.38 % (2885680)------------------------------
% 3.43/1.38 % (2885680)------------------------------
% 3.43/1.38 % (2885682)Refutation found. Thanks to Tanya!
% 3.43/1.38 % SZS status Unsatisfiable for theBenchmark
% 3.43/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 3.43/1.38 % (2885682)------------------------------
% 3.43/1.38 % (2885682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.38 % (2885682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.38 % (2885682)CaDiCaL version: 2.1.3
% 3.43/1.38 % (2885682)Termination reason: Refutation
% 3.43/1.38 % (2885682)Time elapsed: 0.006 s
% 3.43/1.38 % (2885682)Peak memory usage: 89 MB
% 3.43/1.38 % (2885682)Instructions burned: 6 (million)
% 3.43/1.38 % (2885682)------------------------------
% 3.43/1.38 % (2885682)------------------------------
% 3.43/1.38 % (2885672)Success in time 0.419 s
% 3.43/1.38 % Vampire exiting
%------------------------------------------------------------------------------