%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET027-7 : 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 : n004.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 4.12s 1.56s
% Output : Refutation 4.12s
% 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(f106,negated_conjecture,
subclass(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_subclass_1) ).
fof(f107,negated_conjecture,
subclass(y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_subclass_2) ).
fof(f108,negated_conjecture,
~ subclass(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_subclass_3) ).
fof(f117,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,X1),X2)
| ~ subclass(X2,X1)
| subclass(X0,X1) ),
inference(resolution,[],[f1,f3]) ).
fof(f369,plain,
! [X2,X3,X0,X1] :
( ~ member(not_subclass_element(X2,X1),X3)
| subclass(X2,X1)
| ~ subclass(X0,X1)
| ~ subclass(X3,X0) ),
inference(resolution,[],[f117,f1]) ).
fof(f1580,plain,
! [X2,X0,X1] :
( subclass(X0,X1)
| ~ subclass(X2,X1)
| ~ subclass(X0,X2)
| subclass(X0,X1) ),
inference(resolution,[],[f369,f2]) ).
fof(f1598,plain,
! [X2,X0,X1] :
( ~ subclass(X2,X1)
| subclass(X0,X1)
| ~ subclass(X0,X2) ),
inference(duplicate_literal_removal,[],[f1580]) ).
fof(f3079,plain,
! [X0] :
( subclass(X0,z)
| ~ subclass(X0,y) ),
inference(resolution,[],[f1598,f107]) ).
fof(f3282,plain,
~ subclass(x,y),
inference(resolution,[],[f3079,f108]) ).
fof(f3283,plain,
$false,
inference(forward_subsumption_resolution,[],[f3282,f106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET027-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n004.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 00:14:07 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 4.12/1.56 % (4024948)Input is clausal, will run a generic CNF schedule.
% 4.12/1.56 % (4024957)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3594622784:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.12/1.56 % (4024957)Refutation not found, incomplete strategy
% 4.12/1.56 % (4024957)------------------------------
% 4.12/1.56 % (4024957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.56 % (4024957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.56 % (4024957)CaDiCaL version: 2.1.3
% 4.12/1.56 % (4024957)Termination reason: Refutation not found, incomplete strategy
% 4.12/1.56 % (4024957)Time elapsed: 0.002 s
% 4.12/1.56 % (4024957)Peak memory usage: 88 MB
% 4.12/1.56 % (4024957)Instructions burned: 2 (million)
% 4.12/1.56 % (4024955)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3275078251:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.12/1.56 % (4024953)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=3558764746:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.12/1.56 % (4024959)dis-21_1_sil=8000:lcm=predicate:random_seed=2484652107: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)
% 4.12/1.56 % (4024954)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1389204256:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.12/1.56 % (4024958)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1585142059:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.12/1.56 % (4024956)lrs+10_1_sil=8000:sp=occurrence:random_seed=1898225758:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.12/1.56 % (4024956)Refutation not found, incomplete strategy
% 4.12/1.56 % (4024956)------------------------------
% 4.12/1.56 % (4024956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.56 % (4024956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.56 % (4024956)CaDiCaL version: 2.1.3
% 4.12/1.56 % (4024956)Termination reason: Refutation not found, incomplete strategy
% 4.12/1.56 % (4024956)Time elapsed: 0.001 s
% 4.12/1.56 % (4024956)Peak memory usage: 88 MB
% 4.12/1.56 % (4024959)Instruction limit reached!
% 4.12/1.56 % (4024959)------------------------------
% 4.12/1.56 % (4024959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.56 % (4024959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.56 % (4024959)CaDiCaL version: 2.1.3
% 4.12/1.56 % (4024959)Termination reason: Instruction limit
% 4.12/1.56 % (4024959)Termination phase: Saturation
% 4.12/1.56 % (4024959)Time elapsed: 0.061 s
% 4.12/1.56 % (4024959)Peak memory usage: 88 MB
% 4.12/1.56 % (4024959)Instructions burned: 117 (million)
% 4.12/1.56 % (4024958)First to succeed.
% 4.12/1.56 % (4024958)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4024948"
% 4.12/1.56 % (4024957)------------------------------
% 4.12/1.56 % (4024957)------------------------------
% 4.12/1.56 % (4024967)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=1780896219:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.12/1.56 % (4024967)Refutation not found, incomplete strategy
% 4.12/1.56 % (4024967)------------------------------
% 4.12/1.56 % (4024967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.56 % (4024967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.56 % (4024967)CaDiCaL version: 2.1.3
% 4.12/1.56 % (4024967)Termination reason: Refutation not found, incomplete strategy
% 4.12/1.56 % (4024967)Time elapsed: 0.001 s
% 4.12/1.56 % (4024967)Peak memory usage: 88 MB
% 4.12/1.56 % (4024968)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2123766775: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)
% 4.12/1.56 % (4024968)Also succeeded, but the first one will report.
% 4.12/1.56 % (4024956)------------------------------
% 4.12/1.56 % (4024956)------------------------------
% 4.12/1.56 % (4024958)Refutation found. Thanks to Tanya!
% 4.12/1.56 % SZS status Unsatisfiable for theBenchmark
% 4.12/1.56 % SZS output start Proof for theBenchmark
% See solution above
% 4.12/1.56 % (4024958)------------------------------
% 4.12/1.56 % (4024958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.57 % (4024958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.57 % (4024958)CaDiCaL version: 2.1.3
% 4.12/1.57 % (4024958)Termination reason: Refutation
% 4.12/1.57 % (4024958)Time elapsed: 0.089 s
% 4.12/1.57 % (4024958)Peak memory usage: 90 MB
% 4.12/1.57 % (4024958)Instructions burned: 113 (million)
% 4.12/1.57 % (4024958)------------------------------
% 4.12/1.57 % (4024958)------------------------------
% 4.12/1.57 % (4024948)Success in time 0.501 s
% 4.12/1.57 % Vampire exiting
%------------------------------------------------------------------------------