%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET203-6 : 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 : n016.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 12:40:30 PM UTC 2026
% Result : Unsatisfiable 3.48s 1.45s
% Output : Refutation 3.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 10 unt; 2 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 19 ~; 17 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,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(f16,axiom,
! [X2,X3,X0,X1] :
( member(ordered_pair(X0,X2),cross_product(X1,X3))
| ~ member(X2,X3)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product3) ).
fof(f122,negated_conjecture,
member(u,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_X_product_property1_1) ).
fof(f123,negated_conjecture,
member(v,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_X_product_property1_2) ).
fof(f124,negated_conjecture,
~ member(ordered_pair(u,v),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_X_product_property1_3) ).
fof(f136,plain,
( ~ member(v,universal_class)
| ~ member(u,universal_class) ),
inference(resolution,[],[f16,f124]) ).
fof(f143,definition,
( spl0_1
<=> member(u,universal_class) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f144,plain,
( ~ member(u,universal_class)
| spl0_1 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f146,definition,
( spl0_2
<=> member(v,universal_class) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f147,plain,
( ~ member(v,universal_class)
| spl0_2 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f148,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f136,f146,f143]) ).
fof(f149,plain,
( ! [X0] :
( ~ member(u,X0)
| ~ subclass(X0,universal_class) )
| spl0_1 ),
inference(resolution,[],[f144,f1]) ).
fof(f150,plain,
( ! [X0] : ~ member(u,X0)
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f149,f4]) ).
fof(f153,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f150,f122]) ).
fof(f155,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f153]) ).
fof(f156,plain,
( ! [X0] :
( ~ member(v,X0)
| ~ subclass(X0,universal_class) )
| spl0_2 ),
inference(resolution,[],[f147,f1]) ).
fof(f157,plain,
( ! [X0] : ~ member(v,X0)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f156,f4]) ).
fof(f158,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f157,f123]) ).
fof(f160,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f158]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f148]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f155]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f160]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f161,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET203-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 01:11:18 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 3.48/1.45 % (3163488)Input is clausal, will run a generic CNF schedule.
% 3.48/1.45 % (3163494)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2163802234:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.48/1.45 % (3163496)lrs+10_1_sil=8000:sp=occurrence:random_seed=2234748689:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.48/1.45 % (3163499)dis-21_1_sil=8000:lcm=predicate:random_seed=3555909046: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)
% 3.48/1.45 % (3163493)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=2558486328:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.48/1.45 % (3163495)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4123615820:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.48/1.45 % (3163497)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4061858172:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.48/1.45 % (3163496)Refutation not found, incomplete strategy
% 3.48/1.45 % (3163496)------------------------------
% 3.48/1.45 % (3163496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.45 % (3163496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.45 % (3163496)CaDiCaL version: 2.1.3
% 3.48/1.45 % (3163496)Termination reason: Refutation not found, incomplete strategy
% 3.48/1.45 % (3163496)Time elapsed: 0.001 s
% 3.48/1.45 % (3163496)Peak memory usage: 88 MB
% 3.48/1.45 % (3163497)First to succeed.
% 3.48/1.45 % (3163497)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3163488"
% 3.48/1.45 % (3163498)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3735340691:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.48/1.45 % (3163498)Also succeeded, but the first one will report.
% 3.48/1.45 % (3163499)Instruction limit reached!
% 3.48/1.45 % (3163499)------------------------------
% 3.48/1.45 % (3163499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.45 % (3163499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.45 % (3163499)CaDiCaL version: 2.1.3
% 3.48/1.45 % (3163499)Termination reason: Instruction limit
% 3.48/1.45 % (3163499)Termination phase: Saturation
% 3.48/1.45 % (3163499)Time elapsed: 0.071 s
% 3.48/1.45 % (3163499)Peak memory usage: 89 MB
% 3.48/1.45 % (3163499)Instructions burned: 117 (million)
% 3.48/1.45 % (3163507)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=778030573:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.48/1.45 % (3163507)Refutation not found, incomplete strategy
% 3.48/1.45 % (3163507)------------------------------
% 3.48/1.45 % (3163507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.45 % (3163507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.45 % (3163507)CaDiCaL version: 2.1.3
% 3.48/1.45 % (3163507)Termination reason: Refutation not found, incomplete strategy
% 3.48/1.45 % (3163507)Time elapsed: 0.001 s
% 3.48/1.45 % (3163507)Peak memory usage: 88 MB
% 3.48/1.45 % (3163496)------------------------------
% 3.48/1.45 % (3163496)------------------------------
% 3.48/1.45 % (3163497)Refutation found. Thanks to Tanya!
% 3.48/1.45 % SZS status Unsatisfiable for theBenchmark
% 3.48/1.45 % SZS output start Proof for theBenchmark
% See solution above
% 3.48/1.45 % (3163497)------------------------------
% 3.48/1.45 % (3163497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.45 % (3163497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.45 % (3163497)CaDiCaL version: 2.1.3
% 3.48/1.45 % (3163497)Termination reason: Refutation
% 3.48/1.45 % (3163497)Time elapsed: 0.003 s
% 3.48/1.45 % (3163497)Peak memory usage: 89 MB
% 3.48/1.45 % (3163497)Instructions burned: 2 (million)
% 3.48/1.45 % (3163497)------------------------------
% 3.48/1.45 % (3163497)------------------------------
% 3.48/1.45 % (3163488)Success in time 0.413 s
% 3.48/1.45 % Vampire exiting
%------------------------------------------------------------------------------