%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET027+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 12:39:40 PM UTC 2026
% Result : Theorem 2.71s 1.39s
% Output : Refutation 2.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 23 ( 5 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 74 ( 30 ~; 25 |; 14 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 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 : 50 ( 42 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_defn) ).
fof(f44,conjecture,
! [X0,X1,X2] :
( ( subclass(X0,X1)
& subclass(X1,X2) )
=> subclass(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(f45,negated_conjecture,
~ ! [X0,X1,X2] :
( ( subclass(X0,X1)
& subclass(X1,X2) )
=> subclass(X0,X2) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f46,plain,
? [X0,X1,X2] :
( ~ subclass(X0,X2)
& subclass(X0,X1)
& subclass(X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f47,plain,
? [X0,X1,X2] :
( ~ subclass(X0,X2)
& subclass(X0,X1)
& subclass(X1,X2) ),
inference(flattening,[],[f46]) ).
fof(f48,plain,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f49,plain,
( ~ subclass(sK0,sK2)
& subclass(sK0,sK1)
& subclass(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f47]) ).
fof(f52,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subclass(X0,X1) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f53,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subclass(X0,X1) ) ),
inference(rectify,[],[f52]) ).
fof(f54,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ( ~ member(sK3(X0,X1),X1)
& member(sK3(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subclass(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f53]) ).
fof(f55,plain,
subclass(sK1,sK2),
inference(cnf_transformation,[],[f49]) ).
fof(f56,plain,
subclass(sK0,sK1),
inference(cnf_transformation,[],[f49]) ).
fof(f57,plain,
~ subclass(sK0,sK2),
inference(cnf_transformation,[],[f49]) ).
fof(f62,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f63,plain,
! [X0,X1] :
( member(sK3(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f64,plain,
! [X0,X1] :
( ~ member(sK3(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f74,plain,
! [X2,X0,X1] :
( ~ member(sK3(X0,X1),X2)
| ~ subclass(X2,X1)
| subclass(X0,X1) ),
inference(resolution,[],[f62,f64]) ).
fof(f78,plain,
! [X2,X3,X0,X1] :
( ~ member(sK3(X2,X1),X3)
| subclass(X2,X1)
| ~ subclass(X0,X1)
| ~ subclass(X3,X0) ),
inference(resolution,[],[f74,f62]) ).
fof(f80,plain,
! [X2,X0,X1] :
( subclass(X0,X1)
| ~ subclass(X2,X1)
| ~ subclass(X0,X2)
| subclass(X0,X1) ),
inference(resolution,[],[f78,f63]) ).
fof(f82,plain,
! [X2,X0,X1] :
( subclass(X0,X1)
| ~ subclass(X2,X1)
| ~ subclass(X0,X2) ),
inference(duplicate_literal_removal,[],[f80]) ).
fof(f85,plain,
! [X0] :
( ~ subclass(sK0,X0)
| ~ subclass(X0,sK2) ),
inference(resolution,[],[f82,f57]) ).
fof(f91,plain,
~ subclass(sK1,sK2),
inference(resolution,[],[f85,f56]) ).
fof(f95,plain,
$false,
inference(forward_subsumption_resolution,[],[f91,f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET027+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n018.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Mon Sep 28 00:15:39 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 2.71/1.39 % (2876315)Detected formulas, will run a generic FOF schedule.
% 2.71/1.39 % (2876322)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4116509980:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.71/1.39 % (2876324)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3288414669:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.71/1.39 % (2876326)dis-21_1_sil=8000:lcm=predicate:random_seed=50507494:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.71/1.39 % (2876321)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=635466698:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.71/1.39 % (2876323)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4217558385:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.71/1.39 % (2876320)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=2640060226:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.71/1.39 % (2876325)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2177966847:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.71/1.39 % (2876323)Refutation not found, incomplete strategy
% 2.71/1.39 % (2876323)------------------------------
% 2.71/1.39 % (2876323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.39 % (2876323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.39 % (2876323)CaDiCaL version: 2.1.3
% 2.71/1.39 % (2876323)Termination reason: Refutation not found, incomplete strategy
% 2.71/1.39 % (2876323)Time elapsed: 0.002 s
% 2.71/1.39 % (2876323)Peak memory usage: 88 MB
% 2.71/1.39 % (2876324)First to succeed.
% 2.71/1.39 % (2876324)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2876315"
% 2.71/1.39 % (2876326)Also succeeded, but the first one will report.
% 2.71/1.39 % (2876325)Also succeeded, but the first one will report.
% 2.71/1.39 % (2876323)------------------------------
% 2.71/1.39 % (2876323)------------------------------
% 2.71/1.39 % (2876324)Refutation found. Thanks to Tanya!
% 2.71/1.39 % SZS status Theorem for theBenchmark
% 2.71/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 2.71/1.39 % (2876324)------------------------------
% 2.71/1.39 % (2876324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.39 % (2876324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.39 % (2876324)CaDiCaL version: 2.1.3
% 2.71/1.39 % (2876324)Termination reason: Refutation
% 2.71/1.39 % (2876324)Time elapsed: 0.003 s
% 2.71/1.39 % (2876324)Peak memory usage: 88 MB
% 2.71/1.39 % (2876324)Instructions burned: 2 (million)
% 2.71/1.39 % (2876324)------------------------------
% 2.71/1.39 % (2876324)------------------------------
% 2.71/1.39 % (2876315)Success in time 0.439 s
% 2.71/1.39 % Vampire exiting
%------------------------------------------------------------------------------