%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET152-6 : 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 : n019.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 12:40:19 PM UTC 2026
% Result : Unsatisfiable 3.40s 1.46s
% Output : Refutation 3.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 15 ( 8 unt; 1 def)
% Number of atoms : 23 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 7 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( null_class = X0
| member(regular(X0),X0) ),
inference(reorient_equations,[],[f67]) ).
fof(f122,negated_conjecture,
complement(universal_class) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_complement_of_universal_class_1) ).
fof(f123,plain,
null_class != complement(universal_class),
inference(reorient_equations,[],[f122]) ).
fof(f181,definition,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ0_eqProxy])],[equality_proxy_definition]) ).
fof(f182,plain,
~ sQ0_eqProxy(null_class,complement(universal_class)),
inference(equality_proxy_replacement,[],[f123,f181]) ).
fof(f189,plain,
! [X0] :
( sQ0_eqProxy(null_class,X0)
| member(regular(X0),X0) ),
inference(equality_proxy_replacement,[],[f68,f181]) ).
fof(f210,plain,
member(regular(complement(universal_class)),complement(universal_class)),
inference(resolution,[],[f189,f182]) ).
fof(f211,plain,
~ member(regular(complement(universal_class)),universal_class),
inference(resolution,[],[f210,f24]) ).
fof(f212,plain,
! [X0,X1] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(resolution,[],[f1,f4]) ).
fof(f235,plain,
! [X0] : ~ member(regular(complement(universal_class)),X0),
inference(resolution,[],[f212,f211]) ).
fof(f247,plain,
$false,
inference(resolution,[],[f235,f210]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET152-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n019.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 00:55:49 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 3.40/1.46 % (3562589)Input is clausal, will run a generic CNF schedule.
% 3.40/1.46 % (3562598)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=763996989:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.40/1.46 % (3562598)Instruction limit reached!
% 3.40/1.46 % (3562598)------------------------------
% 3.40/1.46 % (3562598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.46 % (3562598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.46 % (3562598)CaDiCaL version: 2.1.3
% 3.40/1.46 % (3562598)Termination reason: Instruction limit
% 3.40/1.46 % (3562598)Termination phase: Saturation
% 3.40/1.46 % (3562598)Time elapsed: 0.037 s
% 3.40/1.46 % (3562598)Peak memory usage: 89 MB
% 3.40/1.46 % (3562598)Instructions burned: 117 (million)
% 3.40/1.46 % (3562600)dis-21_1_sil=8000:lcm=predicate:random_seed=399984588: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)
% 3.40/1.46 % (3562595)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2293227257:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.40/1.46 % (3562597)lrs+10_1_sil=8000:sp=occurrence:random_seed=2912073105:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.40/1.46 % (3562594)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=2723751002:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.40/1.46 % (3562596)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2995676231:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.40/1.46 % (3562599)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=249548008:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.40/1.46 % (3562597)Refutation not found, incomplete strategy
% 3.40/1.46 % (3562597)------------------------------
% 3.40/1.46 % (3562597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.46 % (3562597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.46 % (3562597)CaDiCaL version: 2.1.3
% 3.40/1.46 % (3562597)Termination reason: Refutation not found, incomplete strategy
% 3.40/1.46 % (3562597)Time elapsed: 0.001 s
% 3.40/1.46 % (3562597)Peak memory usage: 88 MB
% 3.40/1.46 % (3562600)First to succeed.
% 3.40/1.46 % (3562600)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3562589"
% 3.40/1.46 % (3562602)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=1593539819:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.40/1.46 % (3562602)Refutation not found, incomplete strategy
% 3.40/1.46 % (3562602)------------------------------
% 3.40/1.46 % (3562602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.46 % (3562602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.46 % (3562602)CaDiCaL version: 2.1.3
% 3.40/1.46 % (3562602)Termination reason: Refutation not found, incomplete strategy
% 3.40/1.46 % (3562602)Time elapsed: 0.001 s
% 3.40/1.46 % (3562602)Peak memory usage: 88 MB
% 3.40/1.46 % (3562602)Instructions burned: 3 (million)
% 3.40/1.46 % (3562599)Instruction limit reached!
% 3.40/1.46 % (3562599)------------------------------
% 3.40/1.46 % (3562599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.46 % (3562599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.46 % (3562599)CaDiCaL version: 2.1.3
% 3.40/1.46 % (3562599)Termination reason: Instruction limit
% 3.40/1.46 % (3562599)Termination phase: Saturation
% 3.40/1.46 % (3562599)Time elapsed: 0.133 s
% 3.40/1.46 % (3562599)Peak memory usage: 90 MB
% 3.40/1.46 % (3562599)Instructions burned: 180 (million)
% 3.40/1.46 % (3562602)------------------------------
% 3.40/1.46 % (3562602)------------------------------
% 3.40/1.46 % (3562597)------------------------------
% 3.40/1.46 % (3562597)------------------------------
% 3.40/1.46 % (3562600)Refutation found. Thanks to Tanya!
% 3.40/1.46 % SZS status Unsatisfiable for theBenchmark
% 3.40/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 3.40/1.46 % (3562600)------------------------------
% 3.40/1.46 % (3562600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.46 % (3562600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.46 % (3562600)CaDiCaL version: 2.1.3
% 3.40/1.46 % (3562600)Termination reason: Refutation
% 3.40/1.46 % (3562600)Time elapsed: 0.005 s
% 3.40/1.46 % (3562600)Peak memory usage: 88 MB
% 3.40/1.46 % (3562600)Instructions burned: 7 (million)
% 3.40/1.46 % (3562600)------------------------------
% 3.40/1.46 % (3562600)------------------------------
% 3.40/1.46 % (3562589)Success in time 0.4 s
% 3.40/1.46 % Vampire exiting
%------------------------------------------------------------------------------