%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET148-6 : 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 : n017.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 12:40:18 PM UTC 2026
% Result : Unsatisfiable 0.17s 1.20s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 9 unt; 3 def)
% Number of atoms : 59 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 51 ( 24 ~; 24 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f122,negated_conjecture,
intersection(x,x) != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_idempotency_of_intersection_1) ).
fof(f123,plain,
x != intersection(x,x),
inference(reorient_equations,[],[f122]) ).
fof(f169,definition,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ0_eqProxy])],[equality_proxy_definition]) ).
fof(f170,plain,
~ sQ0_eqProxy(x,intersection(x,x)),
inference(equality_proxy_replacement,[],[f123,f169]) ).
fof(f171,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(equality_proxy_replacement,[],[f7,f169]) ).
fof(f197,plain,
( ~ subclass(intersection(x,x),x)
| ~ subclass(x,intersection(x,x)) ),
inference(resolution,[],[f171,f170]) ).
fof(f200,definition,
( spl1_1
<=> subclass(intersection(x,x),x) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f201,plain,
( ~ subclass(intersection(x,x),x)
| spl1_1 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f203,definition,
( spl1_2
<=> subclass(x,intersection(x,x)) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f204,plain,
( ~ subclass(x,intersection(x,x))
| spl1_2 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f206,plain,
( ~ spl1_2
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f197,f200,f203]) ).
fof(f207,plain,
( ~ member(not_subclass_element(intersection(x,x),x),x)
| spl1_1 ),
inference(resolution,[],[f201,f3]) ).
fof(f208,plain,
( member(not_subclass_element(intersection(x,x),x),intersection(x,x))
| spl1_1 ),
inference(resolution,[],[f201,f2]) ).
fof(f209,plain,
( member(not_subclass_element(intersection(x,x),x),x)
| spl1_1 ),
inference(resolution,[],[f208,f22]) ).
fof(f211,plain,
( $false
| spl1_1 ),
inference(resolution,[],[f209,f207]) ).
fof(f212,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f211]) ).
fof(f213,plain,
( ~ member(not_subclass_element(x,intersection(x,x)),intersection(x,x))
| spl1_2 ),
inference(resolution,[],[f204,f3]) ).
fof(f214,plain,
( member(not_subclass_element(x,intersection(x,x)),x)
| spl1_2 ),
inference(resolution,[],[f204,f2]) ).
fof(f219,plain,
( ~ member(not_subclass_element(x,intersection(x,x)),x)
| ~ member(not_subclass_element(x,intersection(x,x)),x)
| spl1_2 ),
inference(resolution,[],[f23,f213]) ).
fof(f220,plain,
( ~ member(not_subclass_element(x,intersection(x,x)),x)
| spl1_2 ),
inference(duplicate_literal_removal,[],[f219]) ).
fof(f221,plain,
( $false
| spl1_2 ),
inference(resolution,[],[f220,f214]) ).
fof(f222,plain,
spl1_2,
inference(avatar_contradiction_clause,[],[f221]) ).
cnf(s2,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f206]) ).
cnf(s3,plain,
spl1_1,
inference(sat_conversion,[],[f212]) ).
cnf(s4,plain,
spl1_2,
inference(sat_conversion,[],[f222]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s2,s4,s3]) ).
fof(f223,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET148-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 00:50:21 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.17/1.20 % (3120280)Input is clausal, will run a generic CNF schedule.
% 0.17/1.20 % (3120290)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1535380947:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.17/1.20 % (3120289)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3841450322:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.17/1.20 % (3120288)lrs+10_1_sil=8000:sp=occurrence:random_seed=2153670363:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.17/1.20 % (3120286)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=521098680:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.17/1.20 % (3120291)dis-21_1_sil=8000:lcm=predicate:random_seed=1376559278: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)
% 0.17/1.20 % (3120285)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=2703242604:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.17/1.20 % (3120287)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4009511567:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.17/1.20 % (3120288)Refutation not found, incomplete strategy
% 0.17/1.20 % (3120288)------------------------------
% 0.17/1.20 % (3120288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.20 % (3120288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.20 % (3120288)CaDiCaL version: 2.1.3
% 0.17/1.20 % (3120288)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.20 % (3120288)Time elapsed: 0.001 s
% 0.17/1.20 % (3120288)Peak memory usage: 87 MB
% 0.17/1.20 % (3120289)Refutation not found, incomplete strategy
% 0.17/1.20 % (3120289)------------------------------
% 0.17/1.20 % (3120289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.20 % (3120289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.20 % (3120289)CaDiCaL version: 2.1.3
% 0.17/1.20 % (3120289)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.20 % (3120289)Time elapsed: 0.001 s
% 0.17/1.20 % (3120289)Peak memory usage: 87 MB
% 0.17/1.20 % (3120291)First to succeed.
% 0.17/1.20 % (3120291)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3120280"
% 0.17/1.20 % (3120290)Instruction limit reached!
% 0.17/1.20 % (3120290)------------------------------
% 0.17/1.20 % (3120290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.20 % (3120290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.20 % (3120290)CaDiCaL version: 2.1.3
% 0.17/1.20 % (3120290)Termination reason: Instruction limit
% 0.17/1.20 % (3120290)Termination phase: Saturation
% 0.17/1.20 % (3120290)Time elapsed: 0.073 s
% 0.17/1.20 % (3120290)Peak memory usage: 90 MB
% 0.17/1.20 % (3120290)Instructions burned: 182 (million)
% 0.17/1.20 % (3120299)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=3729877:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.17/1.20 % (3120299)Refutation not found, incomplete strategy
% 0.17/1.20 % (3120299)------------------------------
% 0.17/1.20 % (3120299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.20 % (3120299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.20 % (3120299)CaDiCaL version: 2.1.3
% 0.17/1.20 % (3120299)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.20 % (3120299)Time elapsed: 0.001 s
% 0.17/1.20 % (3120299)Peak memory usage: 87 MB
% 0.17/1.20 % (3120299)Instructions burned: 2 (million)
% 0.17/1.20 % (3120289)------------------------------
% 0.17/1.20 % (3120289)------------------------------
% 0.17/1.20 % (3120288)------------------------------
% 0.17/1.20 % (3120288)------------------------------
% 0.17/1.20 % (3120291)Refutation found. Thanks to Tanya!
% 0.17/1.20 % SZS status Unsatisfiable for theBenchmark
% 0.17/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.20 % (3120291)------------------------------
% 0.17/1.20 % (3120291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.20 % (3120291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.20 % (3120291)CaDiCaL version: 2.1.3
% 0.17/1.20 % (3120291)Termination reason: Refutation
% 0.17/1.20 % (3120291)Time elapsed: 0.005 s
% 0.17/1.20 % (3120291)Peak memory usage: 89 MB
% 0.17/1.20 % (3120291)Instructions burned: 6 (million)
% 0.17/1.20 % (3120291)------------------------------
% 0.17/1.20 % (3120291)------------------------------
% 0.17/1.20 % (3120280)Success in time 0.395 s
% 0.17/1.20 % Vampire exiting
%------------------------------------------------------------------------------