%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET095-6 : 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 : n002.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 12:40:04 PM UTC 2026
% Result : Unsatisfiable 3.10s 1.40s
% Output : Refutation 3.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 11 unt; 1 def)
% Number of atoms : 46 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 17 ~; 19 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 24 !; 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(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f5,axiom,
! [X0,X1] :
( X0 != X1
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_implies_subclass1) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f101,negated_conjecture,
member(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_singletons2_1) ).
fof(f102,negated_conjecture,
~ subclass(singleton(x),y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_singletons2_2) ).
fof(f103,plain,
! [X1] : subclass(X1,X1),
inference(equality_resolution,[],[f5]) ).
fof(f122,plain,
! [X2,X0,X1] :
( subclass(X0,X1)
| ~ subclass(X2,X1)
| ~ member(not_subclass_element(X0,X1),X2) ),
inference(resolution,[],[f1,f3]) ).
fof(f195,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1
| X0 = X1 ),
inference(superposition,[],[f8,f12]) ).
fof(f196,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f195]) ).
fof(f201,plain,
! [X0,X1] :
( not_subclass_element(singleton(X0),X1) = X0
| subclass(singleton(X0),X1) ),
inference(resolution,[],[f196,f2]) ).
fof(f460,definition,
( spl0_17
<=> member(not_subclass_element(singleton(x),y),y) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f462,plain,
( ~ member(not_subclass_element(singleton(x),y),y)
| spl0_17 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f534,plain,
! [X0] :
( ~ subclass(X0,y)
| ~ member(not_subclass_element(singleton(x),y),X0) ),
inference(resolution,[],[f122,f102]) ).
fof(f556,plain,
~ member(not_subclass_element(singleton(x),y),y),
inference(resolution,[],[f534,f103]) ).
fof(f1630,plain,
( ~ member(x,y)
| subclass(singleton(x),y)
| spl0_17 ),
inference(superposition,[],[f462,f201]) ).
fof(f1643,plain,
( subclass(singleton(x),y)
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f1630,f101]) ).
fof(f1647,plain,
( $false
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f1643,f102]) ).
fof(f1648,plain,
spl0_17,
inference(avatar_contradiction_clause,[],[f1647]) ).
fof(f1650,plain,
~ spl0_17,
inference(avatar_split_clause,[],[f556,f460]) ).
cnf(s47,plain,
spl0_17,
inference(sat_conversion,[],[f1648]) ).
cnf(s49,plain,
~ spl0_17,
inference(sat_conversion,[],[f1650]) ).
cnf(s50,plain,
$false,
inference(rat,[],[s47,s49]) ).
fof(f1651,plain,
$false,
inference(avatar_sat_refutation,[],[s50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET095-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n002.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 00:42:37 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 3.10/1.40 % (4051183)Input is clausal, will run a generic CNF schedule.
% 3.10/1.40 % (4051192)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1926591277:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.10/1.40 % (4051192)Instruction limit reached!
% 3.10/1.40 % (4051192)------------------------------
% 3.10/1.40 % (4051192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.40 % (4051192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.40 % (4051192)CaDiCaL version: 2.1.3
% 3.10/1.40 % (4051192)Termination reason: Instruction limit
% 3.10/1.40 % (4051192)Termination phase: Saturation
% 3.10/1.40 % (4051192)Time elapsed: 0.038 s
% 3.10/1.40 % (4051192)Peak memory usage: 89 MB
% 3.10/1.40 % (4051192)Instructions burned: 116 (million)
% 3.10/1.40 % (4051194)dis-21_1_sil=8000:lcm=predicate:random_seed=2024323138: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)
% 3.10/1.40 % (4051189)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4074649067:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.10/1.40 % (4051191)lrs+10_1_sil=8000:sp=occurrence:random_seed=2158285556:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.10/1.40 % (4051190)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3124064626:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.10/1.40 % (4051193)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1466592088:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.10/1.40 % (4051188)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=3703403333:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.10/1.40 % (4051191)Refutation not found, incomplete strategy
% 3.10/1.40 % (4051191)------------------------------
% 3.10/1.40 % (4051191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.40 % (4051191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.40 % (4051191)CaDiCaL version: 2.1.3
% 3.10/1.40 % (4051191)Termination reason: Refutation not found, incomplete strategy
% 3.10/1.40 % (4051191)Time elapsed: 0.001 s
% 3.10/1.40 % (4051191)Peak memory usage: 88 MB
% 3.10/1.40 % (4051193)First to succeed.
% 3.10/1.40 % (4051193)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4051183"
% 3.10/1.40 % (4051194)Instruction limit reached!
% 3.10/1.40 % (4051194)------------------------------
% 3.10/1.40 % (4051194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.40 % (4051194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.40 % (4051194)CaDiCaL version: 2.1.3
% 3.10/1.40 % (4051194)Termination reason: Instruction limit
% 3.10/1.40 % (4051194)Termination phase: Saturation
% 3.10/1.40 % (4051194)Time elapsed: 0.066 s
% 3.10/1.40 % (4051194)Peak memory usage: 88 MB
% 3.10/1.40 % (4051194)Instructions burned: 119 (million)
% 3.10/1.40 % (4051196)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=2816773914:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.10/1.40 % (4051196)Refutation not found, incomplete strategy
% 3.10/1.40 % (4051196)------------------------------
% 3.10/1.40 % (4051196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.40 % (4051196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.40 % (4051196)CaDiCaL version: 2.1.3
% 3.10/1.40 % (4051196)Termination reason: Refutation not found, incomplete strategy
% 3.10/1.40 % (4051196)Time elapsed: 0.003 s
% 3.10/1.40 % (4051196)Peak memory usage: 88 MB
% 3.10/1.40 % (4051196)Instructions burned: 3 (million)
% 3.10/1.40 % (4051193)Refutation found. Thanks to Tanya!
% 3.10/1.40 % SZS status Unsatisfiable for theBenchmark
% 3.10/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 3.10/1.40 % (4051193)------------------------------
% 3.10/1.40 % (4051193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.40 % (4051193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.40 % (4051193)CaDiCaL version: 2.1.3
% 3.10/1.40 % (4051193)Termination reason: Refutation
% 3.10/1.40 % (4051193)Time elapsed: 0.030 s
% 3.10/1.40 % (4051193)Peak memory usage: 90 MB
% 3.10/1.40 % (4051193)Instructions burned: 70 (million)
% 3.10/1.40 % (4051193)------------------------------
% 3.10/1.40 % (4051193)------------------------------
% 3.10/1.40 % (4051183)Success in time 0.363 s
% 3.10/1.40 % Vampire exiting
%------------------------------------------------------------------------------