%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS202+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 11:42:31 AM UTC 2026
% Result : Theorem 0.15s 0.47s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 44 ( 15 unt; 2 def)
% Number of atoms : 97 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 101 ( 48 ~; 32 |; 10 &)
% ( 8 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 79 ( 0 sgn 62 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( ( ? [X2] : model(X2,X0)
<=> ? [X3] : model(X3,X1) )
<=> status(X0,X1,esa) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',esa) ).
fof(f5,axiom,
! [X0,X1] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',thm) ).
fof(f22,axiom,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X0)
& ~ status(X2,X3,X1) )
<=> nota(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',nota) ).
fof(f26,axiom,
! [X0,X1] :
( model(X0,X1)
<=> ~ model(X0,not(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',not) ).
fof(f27,axiom,
? [X0] :
! [X1] : model(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',tautology) ).
fof(f31,axiom,
? [X0,X1] :
( ? [X2] : model(X2,X0)
& ! [X3] :
( model(X3,X0)
=> model(X3,X1) )
& ? [X4] :
( ~ model(X4,X0)
& model(X4,X1) )
& ? [X5] : ~ model(X5,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',mixed_pair) ).
fof(f33,conjecture,
nota(esa,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota_esa_thm) ).
fof(f34,negated_conjecture,
~ nota(esa,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ nota(esa,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(f39,plain,
! [X0,X1] :
( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
<=> status(X0,X1,thm) ),
inference(ennf_transformation,[],[f5]) ).
fof(f46,plain,
! [X0,X1] :
( nota(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X0)
| status(X2,X3,X1) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f47,plain,
? [X0,X1] :
( ? [X2] : model(X2,X0)
& ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
& ? [X4] :
( ~ model(X4,X0)
& model(X4,X1) )
& ? [X5] : ~ model(X5,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f55,plain,
! [X2,X3,X0,X1] :
( status(X0,X1,esa)
| ~ model(X3,X1)
| ~ model(X2,X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,thm)
| ~ model(X2,X0)
| model(X2,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f121,plain,
! [X2,X3,X0,X1] :
( nota(X0,X1)
| ~ status(X2,X3,X0)
| status(X2,X3,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f124,plain,
! [X0,X1] :
( model(X0,not(X1))
| model(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f126,plain,
! [X1] : model(X1,sK39),
inference(cnf_transformation,[],[f27]) ).
fof(f135,plain,
~ model(sK51,sK48),
inference(cnf_transformation,[],[f47]) ).
fof(f137,plain,
model(sK52,sK48),
inference(cnf_transformation,[],[f47]) ).
fof(f141,plain,
~ nota(esa,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f160,definition,
( spl57_3
<=> ! [X0] : ~ model(X0,sK48) ),
introduced(definition,[new_symbols(definition,[spl57_3])],[avatar_definition]) ).
fof(f161,plain,
( ! [X0] : ~ model(X0,sK48)
| ~ spl57_3 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f168,plain,
( $false
| ~ spl57_3 ),
inference(resolution,[],[f161,f137]) ).
fof(f169,plain,
~ spl57_3,
inference(avatar_contradiction_clause,[],[f168]) ).
fof(f357,plain,
! [X0,X1] :
( status(X0,X1,thm)
| ~ status(X0,X1,esa) ),
inference(resolution,[],[f121,f141]) ).
fof(f358,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,esa)
| ~ model(X2,X0)
| model(X2,X1) ),
inference(resolution,[],[f357,f63]) ).
fof(f364,plain,
! [X2,X3,X0,X1,X4] :
( ~ model(X0,X1)
| model(X0,X2)
| ~ model(X3,X2)
| ~ model(X4,X1) ),
inference(resolution,[],[f358,f55]) ).
fof(f420,plain,
! [X2,X0,X1] :
( ~ model(sK51,X0)
| ~ model(X1,sK48)
| ~ model(X2,X0) ),
inference(resolution,[],[f364,f135]) ).
fof(f447,plain,
! [X2,X3,X1] :
( ~ model(X1,sK39)
| model(X1,X2)
| ~ model(X3,X2) ),
inference(resolution,[],[f364,f126]) ).
fof(f464,plain,
! [X2,X3,X1] :
( model(X1,X2)
| ~ model(X3,X2) ),
inference(forward_subsumption_resolution,[],[f447,f126]) ).
fof(f474,definition,
( spl57_29
<=> ! [X2,X0] :
( ~ model(sK51,X0)
| ~ model(X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl57_29])],[avatar_definition]) ).
fof(f475,plain,
( ! [X2,X0] :
( ~ model(sK51,X0)
| ~ model(X2,X0) )
| ~ spl57_29 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f476,plain,
( spl57_3
| spl57_29 ),
inference(avatar_split_clause,[],[f420,f474,f160]) ).
fof(f567,plain,
( ! [X0] : ~ model(sK51,X0)
| ~ spl57_29 ),
inference(forward_subsumption_resolution,[],[f475,f464]) ).
fof(f646,plain,
( ! [X0] : model(sK51,X0)
| ~ spl57_29 ),
inference(resolution,[],[f567,f124]) ).
fof(f651,plain,
( $false
| ~ spl57_29 ),
inference(forward_subsumption_resolution,[],[f646,f567]) ).
fof(f652,plain,
~ spl57_29,
inference(avatar_contradiction_clause,[],[f651]) ).
cnf(s3,plain,
~ spl57_3,
inference(sat_conversion,[],[f169]) ).
cnf(s40,plain,
( spl57_3
| spl57_29 ),
inference(sat_conversion,[],[f476]) ).
cnf(s71,plain,
~ spl57_29,
inference(sat_conversion,[],[f652]) ).
cnf(s82,plain,
spl57_3,
inference(rat,[],[s40,s71]) ).
cnf(s96,plain,
$false,
inference(rat,[],[s3,s82]) ).
fof(f653,plain,
$false,
inference(avatar_sat_refutation,[],[s96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS202+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n010.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 13:39:02 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41 Running first-order model finding
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.47 % (974102)Will run a generic schedule for satisfiability detection.
% 0.15/0.47 % (974107)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1271416932_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.47 % (974108)% WARNING: option uhcvi not known.
% 0.15/0.47 % TRYING [1]
% 0.15/0.47 % TRYING [2]
% 0.15/0.47 % TRYING [3]
% 0.15/0.47 % (974108)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=884406614:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.47 % (974109)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2190024641:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.47 % (974110)dis+10_1_sil=32000:sp=arity:random_seed=2945937743:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.47 % (974111)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2378657289:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.47 % (974113)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2245942072:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.47 % (974112)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2112509364:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.47 % TRYING [4]
% 0.15/0.47 % TRYING [5]
% 0.15/0.47 % (974111) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-974102-974111"...
% 0.15/0.47 % (974111)...printing done.
% 0.15/0.47 % (974111)Refutation found. Thanks to Tanya!
% 0.15/0.47 % SZS status Theorem for theBenchmark
% 0.15/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47 % (974111)------------------------------
% 0.15/0.47 % (974111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.47 % (974111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.47 % (974111)CaDiCaL version: 2.1.3
% 0.15/0.47 % (974111)Termination reason: Refutation
% 0.15/0.47 % (974111)Time elapsed: 0.014 s
% 0.15/0.47 % (974111)Peak memory usage: 13 MB
% 0.15/0.47 % (974111)Instructions burned: 21 (million)
% 0.15/0.47 % (974102)Success in time 0.052 s
% 0.15/0.47 % Vampire exiting
%------------------------------------------------------------------------------