%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET027-6 : 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 : n014.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 12:39:41 PM UTC 2026
% Result : Unsatisfiable 4.05s 1.44s
% Output : Refutation 4.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 30 ( 15 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
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(f101,negated_conjecture,
subclass(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_subclass_1) ).
fof(f102,negated_conjecture,
subclass(y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_subclass_2) ).
fof(f103,negated_conjecture,
~ subclass(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_subclass_3) ).
fof(f112,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,X1),X2)
| ~ subclass(X2,X1)
| subclass(X0,X1) ),
inference(resolution,[],[f1,f3]) ).
fof(f337,plain,
! [X2,X3,X0,X1] :
( ~ member(not_subclass_element(X2,X1),X3)
| subclass(X2,X1)
| ~ subclass(X0,X1)
| ~ subclass(X3,X0) ),
inference(resolution,[],[f112,f1]) ).
fof(f1374,plain,
! [X2,X0,X1] :
( subclass(X0,X1)
| ~ subclass(X2,X1)
| ~ subclass(X0,X2)
| subclass(X0,X1) ),
inference(resolution,[],[f337,f2]) ).
fof(f1387,plain,
! [X2,X0,X1] :
( ~ subclass(X2,X1)
| subclass(X0,X1)
| ~ subclass(X0,X2) ),
inference(duplicate_literal_removal,[],[f1374]) ).
fof(f2449,plain,
! [X0] :
( subclass(X0,z)
| ~ subclass(X0,y) ),
inference(resolution,[],[f1387,f102]) ).
fof(f2666,plain,
~ subclass(x,y),
inference(resolution,[],[f2449,f103]) ).
fof(f2667,plain,
$false,
inference(forward_subsumption_resolution,[],[f2666,f101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET027-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % 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 00:14:01 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 4.05/1.44 % (1312403)Input is clausal, will run a generic CNF schedule.
% 4.05/1.44 % (1312412)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1796590288:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.05/1.44 % (1312412)Refutation not found, incomplete strategy
% 4.05/1.44 % (1312412)------------------------------
% 4.05/1.44 % (1312412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.44 % (1312412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.44 % (1312412)CaDiCaL version: 2.1.3
% 4.05/1.44 % (1312412)Termination reason: Refutation not found, incomplete strategy
% 4.05/1.44 % (1312412)Time elapsed: 0.001 s
% 4.05/1.44 % (1312412)Peak memory usage: 88 MB
% 4.05/1.44 % (1312412)Instructions burned: 1 (million)
% 4.05/1.44 % (1312408)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=787037203:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.05/1.44 % (1312410)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3151516698:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.05/1.44 % (1312409)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3771110235:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.05/1.44 % (1312414)dis-21_1_sil=8000:lcm=predicate:random_seed=3851494433: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)
% 4.05/1.44 % (1312411)lrs+10_1_sil=8000:sp=occurrence:random_seed=2386540095:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.05/1.44 % (1312413)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4101807945:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.05/1.44 % (1312411)Refutation not found, incomplete strategy
% 4.05/1.44 % (1312411)------------------------------
% 4.05/1.44 % (1312411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.44 % (1312411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.44 % (1312411)CaDiCaL version: 2.1.3
% 4.05/1.44 % (1312411)Termination reason: Refutation not found, incomplete strategy
% 4.05/1.44 % (1312411)Time elapsed: 0.002 s
% 4.05/1.44 % (1312411)Peak memory usage: 88 MB
% 4.05/1.44 % (1312414)Instruction limit reached!
% 4.05/1.44 % (1312414)------------------------------
% 4.05/1.44 % (1312414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.44 % (1312414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.44 % (1312414)CaDiCaL version: 2.1.3
% 4.05/1.44 % (1312414)Termination reason: Instruction limit
% 4.05/1.44 % (1312414)Termination phase: Saturation
% 4.05/1.44 % (1312414)Time elapsed: 0.062 s
% 4.05/1.44 % (1312414)Peak memory usage: 88 MB
% 4.05/1.44 % (1312414)Instructions burned: 118 (million)
% 4.05/1.44 % (1312413)First to succeed.
% 4.05/1.44 % (1312413)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1312403"
% 4.05/1.44 % (1312412)------------------------------
% 4.05/1.44 % (1312412)------------------------------
% 4.05/1.44 % (1312422)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=2881052349:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.05/1.44 % (1312422)Refutation not found, incomplete strategy
% 4.05/1.44 % (1312422)------------------------------
% 4.05/1.44 % (1312422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.44 % (1312422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.44 % (1312422)CaDiCaL version: 2.1.3
% 4.05/1.44 % (1312422)Termination reason: Refutation not found, incomplete strategy
% 4.05/1.44 % (1312422)Time elapsed: 0.002 s
% 4.05/1.44 % (1312422)Peak memory usage: 88 MB
% 4.05/1.44 % (1312411)------------------------------
% 4.05/1.44 % (1312411)------------------------------
% 4.05/1.44 % (1312423)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1404774331:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 4.05/1.44 % (1312423)Also succeeded, but the first one will report.
% 4.05/1.44 % (1312413)Refutation found. Thanks to Tanya!
% 4.05/1.44 % SZS status Unsatisfiable for theBenchmark
% 4.05/1.44 % SZS output start Proof for theBenchmark
% See solution above
% 4.05/1.44 % (1312413)------------------------------
% 4.05/1.44 % (1312413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.44 % (1312413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.44 % (1312413)CaDiCaL version: 2.1.3
% 4.05/1.44 % (1312413)Termination reason: Refutation
% 4.05/1.44 % (1312413)Time elapsed: 0.077 s
% 4.05/1.44 % (1312413)Peak memory usage: 90 MB
% 4.05/1.44 % (1312413)Instructions burned: 98 (million)
% 4.05/1.44 % (1312413)------------------------------
% 4.05/1.44 % (1312413)------------------------------
% 4.05/1.44 % (1312403)Success in time 0.501 s
% 4.05/1.44 % Vampire exiting
%------------------------------------------------------------------------------