%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS203+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 11:41:53 AM UTC 2026
% Result : Theorem 3.47s 1.41s
% Output : Refutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 11 unt; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 112 ( 47 ~; 40 |; 19 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 77 ( 63 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( ? [X2] :
( model(X2,X0)
& model(X2,X1) )
<=> status(X0,X1,sat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sat) ).
fof(f5,axiom,
! [X0,X1] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
fof(f22,axiom,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X0)
& ~ status(X2,X3,X1) )
<=> nota(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota) ).
fof(f27,axiom,
? [X0] :
! [X1] : model(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tautology) ).
fof(f32,axiom,
? [X0,X1,X2] :
( model(X0,X1)
& ~ model(X0,X2)
& ? [X3] : model(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',non_thm_spt) ).
fof(f33,conjecture,
nota(sat,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota_sat_thm) ).
fof(f34,negated_conjecture,
~ nota(sat,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ nota(sat,thm),
inference(flattening,[],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X0)
& ~ status(X2,X3,X1) )
=> nota(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f22]) ).
fof(f37,plain,
! [X0,X1] :
( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
<=> status(X0,X1,thm) ),
inference(ennf_transformation,[],[f5]) ).
fof(f38,plain,
! [X0,X1] :
( nota(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X0)
| status(X2,X3,X1) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f40,plain,
! [X0,X1] :
( ( ? [X2] :
( model(X2,X0)
& model(X2,X1) )
| ~ status(X0,X1,sat) )
& ( status(X0,X1,sat)
| ! [X2] :
( ~ model(X2,X0)
| ~ model(X2,X1) ) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f41,plain,
! [X0,X1] :
( ( ? [X2] :
( model(X2,X0)
& model(X2,X1) )
| ~ status(X0,X1,sat) )
& ( status(X0,X1,sat)
| ! [X3] :
( ~ model(X3,X0)
| ~ model(X3,X1) ) ) ),
inference(rectify,[],[f40]) ).
fof(f42,plain,
! [X0,X1] :
( ( ( model(sK0(X0,X1),X0)
& model(sK0(X0,X1),X1) )
| ~ status(X0,X1,sat) )
& ( status(X0,X1,sat)
| ! [X3] :
( ~ model(X3,X0)
| ~ model(X3,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ? [X2] :
( ~ model(X2,X1)
& model(X2,X0) ) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f44,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) ) ) ),
inference(rectify,[],[f43]) ).
fof(f45,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ( ~ model(sK1(X0,X1),X1)
& model(sK1(X0,X1),X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1))],[f44]) ).
fof(f46,plain,
( model(sK2,sK3)
& ~ model(sK2,sK4)
& model(sK5,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5)],[f32]) ).
fof(f51,plain,
! [X1] : model(X1,sK19),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X0,sK19)],[f27]) ).
fof(f52,plain,
~ nota(sat,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f53,plain,
! [X3,X0,X1] :
( status(X0,X1,sat)
| ~ model(X3,X0)
| ~ model(X3,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,thm)
| ~ model(X2,X0)
| model(X2,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f59,plain,
! [X2,X3,X0,X1] :
( status(X2,X3,X1)
| ~ status(X2,X3,X0)
| nota(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f60,plain,
model(sK5,sK4),
inference(cnf_transformation,[],[f46]) ).
fof(f61,plain,
~ model(sK2,sK4),
inference(cnf_transformation,[],[f46]) ).
fof(f74,plain,
! [X1] : model(X1,sK19),
inference(cnf_transformation,[],[f51]) ).
fof(f93,plain,
! [X2,X3,X0,X1] :
( ~ status(X0,X1,X2)
| nota(X2,thm)
| ~ model(X3,X0)
| model(X3,X1) ),
inference(resolution,[],[f59,f58]) ).
fof(f98,plain,
! [X2,X3,X0,X1] :
( nota(sat,thm)
| ~ model(X0,X1)
| model(X0,X2)
| ~ model(X3,X1)
| ~ model(X3,X2) ),
inference(resolution,[],[f93,f53]) ).
fof(f100,plain,
! [X2,X3,X0,X1] :
( model(X0,X2)
| ~ model(X0,X1)
| ~ model(X3,X1)
| ~ model(X3,X2) ),
inference(forward_subsumption_resolution,[],[f98,f52]) ).
fof(f104,plain,
! [X0,X1] :
( ~ model(sK2,X0)
| ~ model(X1,X0)
| ~ model(X1,sK4) ),
inference(resolution,[],[f100,f61]) ).
fof(f115,plain,
! [X0] :
( ~ model(X0,sK19)
| ~ model(X0,sK4) ),
inference(resolution,[],[f104,f74]) ).
fof(f121,plain,
! [X0] : ~ model(X0,sK4),
inference(forward_subsumption_resolution,[],[f115,f74]) ).
fof(f126,plain,
$false,
inference(resolution,[],[f121,f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS203+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n006.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 13:38:26 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 3.47/1.41 % (2979493)Detected formulas, will run a generic FOF schedule.
% 3.47/1.41 % (2979501)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=434594185:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.47/1.41 % (2979501)Refutation not found, incomplete strategy
% 3.47/1.41 % (2979501)------------------------------
% 3.47/1.41 % (2979501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.41 % (2979501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.41 % (2979501)CaDiCaL version: 2.1.3
% 3.47/1.41 % (2979501)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.41 % (2979501)Time elapsed: 0.001 s
% 3.47/1.41 % (2979501)Peak memory usage: 88 MB
% 3.47/1.41 % (2979499)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=1936666336:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.47/1.41 % (2979498)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=2965619881:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.47/1.41 % (2979504)dis-21_1_sil=8000:lcm=predicate:random_seed=3032748043: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)
% 3.47/1.41 % (2979500)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=4009999788:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.47/1.41 % (2979502)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1951300237:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.47/1.41 % (2979503)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2035086675:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.47/1.41 % (2979502)First to succeed.
% 3.47/1.41 % (2979502)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2979493"
% 3.47/1.41 % (2979504)Also succeeded, but the first one will report.
% 3.47/1.41 % (2979503)Also succeeded, but the first one will report.
% 3.47/1.41 % (2979501)------------------------------
% 3.47/1.41 % (2979501)------------------------------
% 3.47/1.41 % (2979512)lrs+10_1_sil=8000:sp=occurrence:random_seed=2449650172:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.47/1.41 % (2979512)Also succeeded, but the first one will report.
% 3.47/1.41 % (2979502)Refutation found. Thanks to Tanya!
% 3.47/1.41 % SZS status Theorem for theBenchmark
% 3.47/1.41 % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.41 % (2979502)------------------------------
% 3.47/1.41 % (2979502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.41 % (2979502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.41 % (2979502)CaDiCaL version: 2.1.3
% 3.47/1.41 % (2979502)Termination reason: Refutation
% 3.47/1.41 % (2979502)Time elapsed: 0.003 s
% 3.47/1.41 % (2979502)Peak memory usage: 88 MB
% 3.47/1.41 % (2979502)Instructions burned: 3 (million)
% 3.47/1.41 % (2979502)------------------------------
% 3.47/1.41 % (2979502)------------------------------
% 3.47/1.41 % (2979493)Success in time 0.407 s
% 3.47/1.41 % Vampire exiting
%------------------------------------------------------------------------------