%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS255+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 : n013.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 : 8
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 11 unt; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 90 ( 36 ~; 30 |; 16 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 76 ( 60 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( ( ? [X2] : model(X2,X0)
=> ? [X3] : model(X3,X1) )
<=> status(X0,X1,sap) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',sap) ).
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(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(f29,axiom,
? [X0] :
! [X1] : ~ model(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',contradiction) ).
fof(f33,conjecture,
mighta(sap,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta_sap_thm) ).
fof(f34,negated_conjecture,
~ mighta(sap,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ mighta(sap,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(f38,plain,
! [X0,X1] :
( ( ? [X3] : model(X3,X1)
| ! [X2] : ~ model(X2,X0) )
<=> status(X0,X1,sap) ),
inference(ennf_transformation,[],[f2]) ).
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] :
( mighta(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X0)
| ~ status(X2,X3,X1) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f52,plain,
! [X0,X1] :
( ( ? [X3] : model(X3,X1)
| ! [X2] : ~ model(X2,X0)
| ~ status(X0,X1,sap) )
& ( status(X0,X1,sap)
| ( ! [X3] : ~ model(X3,X1)
& ? [X2] : model(X2,X0) ) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f53,plain,
! [X0,X1] :
( ( ? [X3] : model(X3,X1)
| ! [X2] : ~ model(X2,X0)
| ~ status(X0,X1,sap) )
& ( status(X0,X1,sap)
| ( ! [X3] : ~ model(X3,X1)
& ? [X2] : model(X2,X0) ) ) ),
inference(flattening,[],[f52]) ).
fof(f54,plain,
! [X0,X1] :
( ( ? [X2] : model(X2,X1)
| ! [X3] : ~ model(X3,X0)
| ~ status(X0,X1,sap) )
& ( status(X0,X1,sap)
| ( ! [X4] : ~ model(X4,X1)
& ? [X5] : model(X5,X0) ) ) ),
inference(rectify,[],[f53]) ).
fof(f55,plain,
! [X0,X1] :
( ( model(sK2(X1),X1)
| ! [X3] : ~ model(X3,X0)
| ~ status(X0,X1,sap) )
& ( status(X0,X1,sap)
| ( ! [X4] : ~ model(X4,X1)
& model(sK3(X0),X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X2,sK2(X1)),skolemize(X5,sK3(X0))],[f54]) ).
fof(f62,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,[],[f39]) ).
fof(f63,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,[],[f62]) ).
fof(f64,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ( ~ model(sK9(X0,X1),X1)
& model(sK9(X0,X1),X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X0,X1))],[f63]) ).
fof(f122,plain,
! [X1] : ~ model(X1,sK45),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45]),skolemize(X0,sK45)],[f29]) ).
fof(f129,plain,
! [X0,X1] :
( model(sK3(X0),X0)
| status(X0,X1,sap) ),
inference(cnf_transformation,[],[f55]) ).
fof(f139,plain,
! [X0,X1] :
( model(sK9(X0,X1),X0)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f64]) ).
fof(f199,plain,
! [X2,X3,X0,X1] :
( mighta(X0,X1)
| ~ status(X2,X3,X0)
| ~ status(X2,X3,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f207,plain,
! [X1] : ~ model(X1,sK45),
inference(cnf_transformation,[],[f122]) ).
fof(f219,plain,
~ mighta(sap,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f233,plain,
! [X0] : status(sK45,X0,sap),
inference(resolution,[],[f129,f207]) ).
fof(f259,plain,
! [X0] : status(sK45,X0,thm),
inference(resolution,[],[f139,f207]) ).
fof(f1232,plain,
! [X0,X1] :
( ~ status(X0,X1,thm)
| ~ status(X0,X1,sap) ),
inference(resolution,[],[f199,f219]) ).
fof(f1234,plain,
! [X0] : ~ status(sK45,X0,sap),
inference(resolution,[],[f1232,f259]) ).
fof(f1236,plain,
$false,
inference(resolution,[],[f1234,f233]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS255+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n013.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 13:46:51 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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 % (241424)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (241435)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=958868981:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.47 % (241430)% WARNING: option uhcvi not known.
% 0.17/0.47 % (241429)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1945342580_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % (241432)dis+10_1_sil=32000:sp=arity:random_seed=3644399249:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (241430)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4147474677:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (241431)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2431038576:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (241433)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3425496482:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (241434)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2726898985:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % (241435) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-241424-241435"...
% 0.17/0.47 % (241435)...printing done.
% 0.17/0.47 % (241435)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 % (241435)------------------------------
% 0.17/0.47 % (241435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (241435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (241435)CaDiCaL version: 2.1.3
% 0.17/0.47 % (241435)Termination reason: Refutation
% 0.17/0.47 % (241435)Time elapsed: 0.011 s
% 0.17/0.47 % (241435)Peak memory usage: 12 MB
% 0.17/0.47 % (241435)Instructions burned: 31 (million)
% 0.17/0.47 % (241424)Success in time 0.043 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------