%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS256+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 11:42:42 AM UTC 2026
% Result : Theorem 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 75 ( 20 unt; 6 def)
% Number of atoms : 156 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 154 ( 73 ~; 61 |; 3 &)
% ( 15 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 7 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 113 ( 0 sgn 104 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( ( ? [X2] : model(X2,X0)
<=> ? [X3] : model(X3,X1) )
<=> status(X0,X1,esa) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/KRS001+0.ax',thm) ).
fof(f7,axiom,
! [X0,X1] :
( ( ? [X2] : model(X2,X0)
& ! [X3] : model(X3,X1) )
<=> status(X0,X1,tac) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',tac) ).
fof(f13,axiom,
! [X0,X1] :
( ~ ? [X2] : model(X2,X0)
<=> status(X0,X1,cax) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',cax) ).
fof(f20,axiom,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X0)
& status(X2,X3,X1) )
<=> mighta(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',mighta) ).
fof(f26,axiom,
! [X0,X1] :
( model(X0,X1)
<=> ~ model(X0,not(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',not) ).
fof(f27,axiom,
? [X0] :
! [X1] : model(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',tautology) ).
fof(f33,conjecture,
mighta(esa,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta_esa_thm) ).
fof(f34,negated_conjecture,
~ mighta(esa,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ mighta(esa,thm),
inference(flattening,[],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X0)
& status(X2,X3,X1) )
=> mighta(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f20]) ).
fof(f39,plain,
! [X0,X1] :
( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
<=> status(X0,X1,thm) ),
inference(ennf_transformation,[],[f5]) ).
fof(f42,plain,
! [X0,X1] :
( ! [X2] : ~ model(X2,X0)
<=> status(X0,X1,cax) ),
inference(ennf_transformation,[],[f13]) ).
fof(f46,plain,
! [X0,X1] :
( mighta(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X0)
| ~ status(X2,X3,X1) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f54,plain,
! [X0,X1] :
( status(X0,X1,esa)
| model(sK5(X1),X1)
| model(sK4(X0),X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f55,plain,
! [X2,X3,X0,X1] :
( status(X0,X1,esa)
| ~ model(X3,X1)
| ~ model(X2,X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f56,plain,
! [X3,X0,X1] :
( ~ status(X0,X1,esa)
| ~ model(X3,X1)
| model(sK4(X0),X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f61,plain,
! [X0,X1] :
( status(X0,X1,thm)
| model(sK7(X0,X1),X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f69,plain,
! [X2,X0,X1] :
( status(X0,X1,tac)
| ~ model(sK10(X1),X1)
| ~ model(X2,X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f71,plain,
! [X0,X1] :
( ~ status(X0,X1,tac)
| model(sK11(X0),X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,cax)
| ~ model(X2,X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f99,plain,
! [X0,X1] :
( status(X0,X1,cax)
| model(sK26(X0),X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f121,plain,
! [X2,X3,X0,X1] :
( mighta(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(f125,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(f141,plain,
~ mighta(esa,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f153,plain,
! [X0,X1] :
( model(sK26(X0),X0)
| ~ model(X1,X0) ),
inference(resolution,[],[f99,f98]) ).
fof(f155,plain,
! [X0,X1] :
( ~ model(X1,not(X0))
| ~ model(sK26(not(X0)),X0) ),
inference(resolution,[],[f153,f125]) ).
fof(f158,plain,
! [X0,X1] :
( model(sK26(not(X1)),not(X1))
| model(X0,X1) ),
inference(resolution,[],[f153,f124]) ).
fof(f172,plain,
! [X0] : ~ model(X0,not(sK39)),
inference(resolution,[],[f155,f126]) ).
fof(f217,definition,
( spl57_7
<=> ! [X2,X1] : ~ model(X1,X2) ),
introduced(definition,[new_symbols(definition,[spl57_7])],[avatar_definition]) ).
fof(f218,plain,
( ! [X2,X1] : ~ model(X1,X2)
| ~ spl57_7 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f230,plain,
( ! [X1] : model(sK26(not(X1)),not(X1))
| ~ spl57_7 ),
inference(resolution,[],[f218,f158]) ).
fof(f262,plain,
( $false
| ~ spl57_7 ),
inference(forward_subsumption_resolution,[],[f230,f218]) ).
fof(f263,plain,
~ spl57_7,
inference(avatar_contradiction_clause,[],[f262]) ).
fof(f283,plain,
! [X2,X3,X0,X1,X4] :
( ~ model(X0,X1)
| model(sK4(X2),X2)
| ~ model(X3,X1)
| ~ model(X4,X2) ),
inference(resolution,[],[f56,f55]) ).
fof(f285,definition,
( spl57_14
<=> ! [X2,X4] :
( model(sK4(X2),X2)
| ~ model(X4,X2) ) ),
introduced(definition,[new_symbols(definition,[spl57_14])],[avatar_definition]) ).
fof(f286,plain,
( ! [X2,X4] :
( model(sK4(X2),X2)
| ~ model(X4,X2) )
| ~ spl57_14 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f288,definition,
( spl57_15
<=> ! [X0,X1,X3] :
( ~ model(X0,X1)
| ~ model(X3,X1) ) ),
introduced(definition,[new_symbols(definition,[spl57_15])],[avatar_definition]) ).
fof(f289,plain,
( ! [X3,X0,X1] :
( ~ model(X0,X1)
| ~ model(X3,X1) )
| ~ spl57_15 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f290,plain,
( spl57_14
| spl57_15 ),
inference(avatar_split_clause,[],[f283,f288,f285]) ).
fof(f310,plain,
! [X2,X0,X1] :
( ~ model(sK10(X0),X0)
| ~ model(X1,X2)
| model(sK11(X2),X2) ),
inference(resolution,[],[f69,f71]) ).
fof(f313,plain,
( ! [X2,X0,X1] :
( ~ model(sK10(X0),X0)
| ~ model(X1,X2) )
| ~ spl57_15 ),
inference(forward_subsumption_resolution,[],[f310,f289]) ).
fof(f315,definition,
( spl57_17
<=> ! [X0] : ~ model(sK10(X0),X0) ),
introduced(definition,[new_symbols(definition,[spl57_17])],[avatar_definition]) ).
fof(f316,plain,
( ! [X0] : ~ model(sK10(X0),X0)
| ~ spl57_17 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f318,plain,
( spl57_7
| spl57_17
| ~ spl57_15 ),
inference(avatar_split_clause,[],[f313,f288,f315,f217]) ).
fof(f328,plain,
( $false
| ~ spl57_17 ),
inference(resolution,[],[f316,f126]) ).
fof(f330,plain,
~ spl57_17,
inference(avatar_contradiction_clause,[],[f328]) ).
fof(f357,plain,
! [X0,X1] :
( ~ status(X0,X1,thm)
| ~ status(X0,X1,esa) ),
inference(resolution,[],[f121,f141]) ).
fof(f359,plain,
! [X0,X1] :
( ~ status(X0,X1,esa)
| model(sK7(X0,X1),X0) ),
inference(resolution,[],[f357,f61]) ).
fof(f382,plain,
! [X0,X1] :
( model(sK7(X0,X1),X0)
| model(sK5(X1),X1)
| model(sK4(X0),X0) ),
inference(resolution,[],[f359,f54]) ).
fof(f384,plain,
( ! [X0,X1] :
( model(sK5(X1),X1)
| model(sK4(X0),X0) )
| ~ spl57_14 ),
inference(forward_subsumption_resolution,[],[f382,f286]) ).
fof(f386,definition,
( spl57_27
<=> ! [X0] : model(sK4(X0),X0) ),
introduced(definition,[new_symbols(definition,[spl57_27])],[avatar_definition]) ).
fof(f387,plain,
( ! [X0] : model(sK4(X0),X0)
| ~ spl57_27 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f389,definition,
( spl57_28
<=> ! [X1] : model(sK5(X1),X1) ),
introduced(definition,[new_symbols(definition,[spl57_28])],[avatar_definition]) ).
fof(f390,plain,
( ! [X1] : model(sK5(X1),X1)
| ~ spl57_28 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f391,plain,
( spl57_27
| spl57_28
| ~ spl57_14 ),
inference(avatar_split_clause,[],[f384,f285,f389,f386]) ).
fof(f410,plain,
( $false
| ~ spl57_27 ),
inference(resolution,[],[f387,f172]) ).
fof(f413,plain,
~ spl57_27,
inference(avatar_contradiction_clause,[],[f410]) ).
fof(f418,plain,
( $false
| ~ spl57_28 ),
inference(resolution,[],[f390,f172]) ).
fof(f421,plain,
~ spl57_28,
inference(avatar_contradiction_clause,[],[f418]) ).
cnf(s20,plain,
~ spl57_7,
inference(sat_conversion,[],[f263]) ).
cnf(s25,plain,
( spl57_14
| spl57_15 ),
inference(sat_conversion,[],[f290]) ).
cnf(s28,plain,
( spl57_7
| ~ spl57_15
| spl57_17 ),
inference(sat_conversion,[],[f318]) ).
cnf(s31,plain,
~ spl57_17,
inference(sat_conversion,[],[f330]) ).
cnf(s39,plain,
( ~ spl57_14
| spl57_27
| spl57_28 ),
inference(sat_conversion,[],[f391]) ).
cnf(s43,plain,
~ spl57_27,
inference(sat_conversion,[],[f413]) ).
cnf(s45,plain,
~ spl57_28,
inference(sat_conversion,[],[f421]) ).
cnf(s46,plain,
~ spl57_14,
inference(rat,[],[s39,s45,s43]) ).
cnf(s49,plain,
( spl57_7
| ~ spl57_15 ),
inference(rat,[],[s28,s31]) ).
cnf(s51,plain,
spl57_15,
inference(rat,[],[s25,s46]) ).
cnf(s52,plain,
spl57_7,
inference(rat,[],[s49,s51]) ).
cnf(s54,plain,
$false,
inference(rat,[],[s20,s52]) ).
fof(f422,plain,
$false,
inference(avatar_sat_refutation,[],[s54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS256+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n008.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 13:47:55 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.47 % (1233881)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (1233890)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2204637719:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (1233887)% WARNING: option uhcvi not known.
% 0.17/0.47 % (1233890) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1233881-1233890"...
% 0.17/0.47 % (1233890)...printing done.
% 0.17/0.47 % (1233886)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=352897035_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % (1233887)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=841514428:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (1233888)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2633801613:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (1233889)dis+10_1_sil=32000:sp=arity:random_seed=3867999406:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (1233890)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Theorem for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (1233890)------------------------------
% 0.17/0.47 % (1233890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (1233890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (1233890)CaDiCaL version: 2.1.3
% 0.17/0.47 % (1233890)Termination reason: Refutation
% 0.17/0.47 % (1233890)Time elapsed: 0.006 s
% 0.17/0.47 % (1233890)Peak memory usage: 12 MB
% 0.17/0.47 % (1233890)Instructions burned: 16 (million)
% 0.17/0.47 % (1233881)Success in time 0.04 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------