%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET146-6 : 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 : n012.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 12:40:17 PM UTC 2026
% Result : Unsatisfiable 2.49s 0.96s
% Output : Refutation 2.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 30 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 10 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,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(f21,axiom,
! [X2,X0,X1] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f122,negated_conjecture,
intersection(null_class,x) != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_intersection_with_null_class_1) ).
fof(f123,plain,
null_class != intersection(null_class,x),
inference(reorient_equations,[],[f122]) ).
fof(f277,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,X1),intersection(X1,X2))
| subclass(X0,X1) ),
inference(resolution,[],[f3,f21]) ).
fof(f1281,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f277,f2]) ).
fof(f1293,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f1281]) ).
fof(f1362,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f1293,f70]) ).
fof(f1398,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f1362,f7]) ).
fof(f1403,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f1398]) ).
fof(f1537,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f1403,f1293]) ).
fof(f1634,plain,
null_class != null_class,
inference(superposition,[],[f123,f1537]) ).
fof(f1682,plain,
$false,
inference(trivial_inequality_removal,[],[f1634]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET146-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.31 % Computer : n012.cluster.edu
% 0.05/0.31 % Model : x86_64 x86_64
% 0.05/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.31 % Memory : 8046.5625MB
% 0.05/0.31 % OS : Linux 6.8.0-71-generic
% 0.05/0.31 % CPULimit : 300
% 0.05/0.31 % WCLimit : 300
% 0.05/0.31 % DateTime : Mon Sep 28 00:54:19 UTC 2026
% 0.05/0.31 % CPUTime :
% 0.05/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 2.49/0.96 % (2913099)Input is clausal, will run a generic CNF schedule.
% 2.49/0.96 % (2913104)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=213695751:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.49/0.96 % (2913109)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2659870260:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.49/0.96 % (2913105)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3210597259:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.49/0.96 % (2913106)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2331756517:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.49/0.96 % (2913110)dis-21_1_sil=8000:lcm=predicate:random_seed=3771640274: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)
% 2.49/0.96 % (2913107)lrs+10_1_sil=8000:sp=occurrence:random_seed=2269083582:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.49/0.96 % (2913108)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1868113648:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.49/0.96 % (2913107)Refutation not found, incomplete strategy
% 2.49/0.96 % (2913107)------------------------------
% 2.49/0.96 % (2913107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/0.96 % (2913107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.96 % (2913107)CaDiCaL version: 2.1.3
% 2.49/0.96 % (2913107)Termination reason: Refutation not found, incomplete strategy
% 2.49/0.96 % (2913107)Time elapsed: 0.001 s
% 2.49/0.96 % (2913107)Peak memory usage: 87 MB
% 2.49/0.96 % (2913109)First to succeed.
% 2.49/0.96 % (2913109)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2913099"
% 2.49/0.96 % (2913108)Instruction limit reached!
% 2.49/0.96 % (2913108)------------------------------
% 2.49/0.96 % (2913108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/0.96 % (2913108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.96 % (2913108)CaDiCaL version: 2.1.3
% 2.49/0.96 % (2913108)Termination reason: Instruction limit
% 2.49/0.96 % (2913108)Termination phase: Saturation
% 2.49/0.96 % (2913108)Time elapsed: 0.037 s
% 2.49/0.96 % (2913108)Peak memory usage: 88 MB
% 2.49/0.96 % (2913108)Instructions burned: 118 (million)
% 2.49/0.96 % (2913110)Instruction limit reached!
% 2.49/0.96 % (2913110)------------------------------
% 2.49/0.96 % (2913110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/0.96 % (2913110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.96 % (2913110)CaDiCaL version: 2.1.3
% 2.49/0.96 % (2913110)Termination reason: Instruction limit
% 2.49/0.96 % (2913110)Termination phase: Saturation
% 2.49/0.96 % (2913110)Time elapsed: 0.039 s
% 2.49/0.96 % (2913110)Peak memory usage: 89 MB
% 2.49/0.96 % (2913110)Instructions burned: 118 (million)
% 2.49/0.96 % (2913107)------------------------------
% 2.49/0.96 % (2913107)------------------------------
% 2.49/0.96 % (2913119)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=179443158:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 2.49/0.96 % (2913118)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=2663842178:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.49/0.96 % (2913118)Refutation not found, incomplete strategy
% 2.49/0.96 % (2913118)------------------------------
% 2.49/0.96 % (2913118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/0.96 % (2913118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.96 % (2913118)CaDiCaL version: 2.1.3
% 2.49/0.96 % (2913118)Termination reason: Refutation not found, incomplete strategy
% 2.49/0.96 % (2913118)Time elapsed: 0.002 s
% 2.49/0.96 % (2913118)Peak memory usage: 87 MB
% 2.49/0.96 % (2913118)Instructions burned: 3 (million)
% 2.49/0.96 % (2913109)Refutation found. Thanks to Tanya!
% 2.49/0.96 % SZS status Unsatisfiable for theBenchmark
% 2.49/0.96 % SZS output start Proof for theBenchmark
% See solution above
% 2.49/0.96 % (2913109)------------------------------
% 2.49/0.96 % (2913109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/0.96 % (2913109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.96 % (2913109)CaDiCaL version: 2.1.3
% 2.49/0.96 % (2913109)Termination reason: Refutation
% 2.49/0.96 % (2913109)Time elapsed: 0.029 s
% 2.49/0.96 % (2913109)Peak memory usage: 89 MB
% 2.49/0.96 % (2913109)Instructions burned: 66 (million)
% 2.49/0.96 % (2913109)------------------------------
% 2.49/0.96 % (2913109)------------------------------
% 2.49/0.96 % (2913099)Success in time 0.324 s
% 2.49/0.96 % Vampire exiting
%------------------------------------------------------------------------------