%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS181+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 : n002.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 11:41:51 AM UTC 2026
% Result : Theorem 0.16s 1.30s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 26 ( 8 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 69 ( 28 ~; 19 |; 15 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 60 ( 48 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> status(X2,X3,X1) )
<=> isa(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa) ).
fof(f3,axiom,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X0)
& ~ status(X2,X3,X1) )
<=> nota(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota) ).
fof(f14,conjecture,
! [X0,X1,X2] :
( ( isa(X0,X1)
& nota(X0,X2) )
=> nota(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota_isa_nota) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( ( isa(X0,X1)
& nota(X0,X2) )
=> nota(X1,X2) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
! [X0,X1] :
( isa(X0,X1)
=> ! [X2,X3] :
( status(X2,X3,X0)
=> status(X2,X3,X1) ) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f17,plain,
? [X0,X1,X2] :
( ~ nota(X1,X2)
& isa(X0,X1)
& nota(X0,X2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f18,plain,
? [X0,X1,X2] :
( ~ nota(X1,X2)
& isa(X0,X1)
& nota(X0,X2) ),
inference(flattening,[],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X1)
| ~ status(X2,X3,X0) )
| ~ isa(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f20,plain,
( ~ nota(sK1,sK2)
& isa(sK0,sK1)
& nota(sK0,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f18]) ).
fof(f21,plain,
! [X0,X1] :
( ( ? [X2,X3] :
( status(X2,X3,X0)
& ~ status(X2,X3,X1) )
| ~ nota(X0,X1) )
& ( nota(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X0)
| status(X2,X3,X1) ) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f22,plain,
! [X0,X1] :
( ( ? [X2,X3] :
( status(X2,X3,X0)
& ~ status(X2,X3,X1) )
| ~ nota(X0,X1) )
& ( nota(X0,X1)
| ! [X4,X5] :
( ~ status(X4,X5,X0)
| status(X4,X5,X1) ) ) ),
inference(rectify,[],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( ( ( status(sK3(X0,X1),sK4(X0,X1),X0)
& ~ status(sK3(X0,X1),sK4(X0,X1),X1) )
| ~ nota(X0,X1) )
& ( nota(X0,X1)
| ! [X4,X5] :
( ~ status(X4,X5,X0)
| status(X4,X5,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X2,sK3(X0,X1)),skolemize(X3,sK4(X0,X1))],[f22]) ).
fof(f24,plain,
nota(sK0,sK2),
inference(cnf_transformation,[],[f20]) ).
fof(f25,plain,
isa(sK0,sK1),
inference(cnf_transformation,[],[f20]) ).
fof(f26,plain,
~ nota(sK1,sK2),
inference(cnf_transformation,[],[f20]) ).
fof(f27,plain,
! [X2,X3,X0,X1] :
( ~ isa(X0,X1)
| ~ status(X2,X3,X0)
| status(X2,X3,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f28,plain,
! [X0,X1,X4,X5] :
( nota(X0,X1)
| ~ status(X4,X5,X0)
| status(X4,X5,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f29,plain,
! [X0,X1] :
( ~ nota(X0,X1)
| ~ status(sK3(X0,X1),sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f30,plain,
! [X0,X1] :
( ~ nota(X0,X1)
| status(sK3(X0,X1),sK4(X0,X1),X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f31,plain,
! [X0,X1] :
( status(X0,X1,sK1)
| ~ status(X0,X1,sK0) ),
inference(resolution,[],[f27,f25]) ).
fof(f32,plain,
! [X0,X1] :
( status(X0,X1,sK2)
| ~ status(X0,X1,sK1) ),
inference(resolution,[],[f28,f26]) ).
fof(f33,plain,
~ status(sK3(sK0,sK2),sK4(sK0,sK2),sK2),
inference(resolution,[],[f29,f24]) ).
fof(f35,plain,
~ status(sK3(sK0,sK2),sK4(sK0,sK2),sK1),
inference(resolution,[],[f33,f32]) ).
fof(f36,plain,
status(sK3(sK0,sK2),sK4(sK0,sK2),sK0),
inference(resolution,[],[f30,f24]) ).
fof(f39,plain,
~ status(sK3(sK0,sK2),sK4(sK0,sK2),sK0),
inference(resolution,[],[f35,f31]) ).
fof(f41,plain,
$false,
inference(resolution,[],[f39,f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS181+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8046.5625MB
% 0.13/0.35 % OS : Linux 6.8.0-71-generic
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sun Sep 27 13:38:07 UTC 2026
% 0.15/0.36 % CPUTime :
% 0.15/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.39 Running first-order theorem proving
% 0.15/0.39 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
% 0.16/1.30 % (3535888)Detected formulas, will run a generic FOF schedule.
% 0.16/1.30 % (3535899)dis-21_1_sil=8000:lcm=predicate:random_seed=1428493097: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)
% 0.16/1.30 % (3535899)First to succeed.
% 0.16/1.30 % (3535899)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3535888"
% 0.16/1.30 % (3535898)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3315831081:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.16/1.30 % (3535896)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1357348668:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.16/1.30 % (3535893)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=2219927573:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.16/1.30 % (3535895)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=2509765284:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.16/1.30 % (3535897)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3377912936:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.16/1.30 % (3535894)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=1485837758:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.16/1.30 % (3535896)Refutation not found, incomplete strategy
% 0.16/1.30 % (3535896)------------------------------
% 0.16/1.30 % (3535896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.30 % (3535896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.30 % (3535896)CaDiCaL version: 2.1.3
% 0.16/1.30 % (3535896)Termination reason: Refutation not found, incomplete strategy
% 0.16/1.30 % (3535896)Time elapsed: 0.001 s
% 0.16/1.30 % (3535896)Peak memory usage: 88 MB
% 0.16/1.30 % (3535897)Also succeeded, but the first one will report.
% 0.16/1.30 % (3535898)Also succeeded, but the first one will report.
% 0.16/1.30 % (3535899)Refutation found. Thanks to Tanya!
% 0.16/1.30 % SZS status Theorem for theBenchmark
% 0.16/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.30 % (3535899)------------------------------
% 0.16/1.30 % (3535899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.30 % (3535899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.30 % (3535899)CaDiCaL version: 2.1.3
% 0.16/1.30 % (3535899)Termination reason: Refutation
% 0.16/1.30 % (3535899)Time elapsed: 0.001 s
% 0.16/1.30 % (3535899)Peak memory usage: 88 MB
% 0.16/1.30 % (3535899)Instructions burned: 1 (million)
% 0.16/1.30 % (3535899)------------------------------
% 0.16/1.30 % (3535899)------------------------------
% 0.16/1.30 % (3535888)Success in time 0.272 s
% 0.16/1.30 % Vampire exiting
%------------------------------------------------------------------------------