%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS105+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 11:42:17 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of formulae : 48 ( 4 unt; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 107 ( 50 ~; 42 |; 2 &)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 61 ( 55 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( cUnsatisfiable(X0)
=> cdxcomp(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
! [X0] :
( cUnsatisfiable(X0)
=> cc(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,axiom,
! [X0] :
( cc(X0)
=> ! [X1] :
( rr(X0,X1)
=> cc(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,axiom,
! [X0] :
( cd(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,axiom,
! [X0] :
( cdxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f8,axiom,
! [X0] :
( ca_Ax2(X0)
<=> ! [X1] :
( rr(X0,X1)
=> cc(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f9,axiom,
! [X0] :
( ca_Ax2(X0)
=> cd(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f10,axiom,
cUnsatisfiable(i2003_11_14_17_20_53634),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f11,plain,
! [X0] :
( ! [X1] :
( rr(X0,X1)
=> cc(X1) )
=> ca_Ax2(X0) ),
inference(unused_predicate_definition_removal,[],[f8]) ).
fof(f12,plain,
! [X0] :
( cd(X0)
=> ~ ? [X1] : ra_Px1(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f6]) ).
fof(f13,plain,
! [X0] :
( cdxcomp(X0)
=> ? [X1] : ra_Px1(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f16,plain,
! [X0] :
( cdxcomp(X0)
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f17,plain,
! [X0] :
( cc(X0)
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f18,plain,
! [X0] :
( ! [X1] :
( cc(X1)
| ~ rr(X0,X1) )
| ~ cc(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f19,plain,
! [X0] :
( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cd(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f20,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
| ~ cdxcomp(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f21,plain,
! [X0] :
( ca_Ax2(X0)
| ? [X1] :
( ~ cc(X1)
& rr(X0,X1) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f22,plain,
! [X0] :
( cd(X0)
| ~ ca_Ax2(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f23,plain,
! [X0] :
( ra_Px1(X0,sK0(X0))
| ~ cdxcomp(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f20]) ).
fof(f24,plain,
! [X0] :
( ca_Ax2(X0)
| ( ~ cc(sK1(X0))
& rr(X0,sK1(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f21]) ).
fof(f25,plain,
! [X0] :
( cdxcomp(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f26,plain,
! [X0] :
( cc(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f27,plain,
! [X0,X1] :
( cc(X1)
| ~ rr(X0,X1)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f28,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ cd(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f29,plain,
! [X0] :
( ra_Px1(X0,sK0(X0))
| ~ cdxcomp(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f30,plain,
! [X0] :
( ca_Ax2(X0)
| rr(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f31,plain,
! [X0] :
( ca_Ax2(X0)
| ~ cc(sK1(X0)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f32,plain,
! [X0] :
( cd(X0)
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f33,plain,
cUnsatisfiable(i2003_11_14_17_20_53634),
inference(cnf_transformation,[],[f10]) ).
fof(f34,plain,
! [X0] :
( ~ cdxcomp(X0)
| ~ cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f35,plain,
! [X0,X1] :
( ra_Px1(X0,X1)
| ~ cd(X0) ),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f36,plain,
! [X0] :
( ~ ra_Px1(X0,sK0(X0))
| cdxcomp(X0) ),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f37,plain,
! [X0] :
( ~ ca_Ax2(X0)
| ~ cc(sK1(X0)) ),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f38,plain,
! [X0] :
( rr(X0,sK1(X0))
| ~ ca_Ax2(X0) ),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f39,plain,
! [X0] :
( ca_Ax2(X0)
| cd(X0) ),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f40,plain,
! [X0] :
( cd(X0)
| ~ cc(sK1(X0)) ),
inference(resolution,[],[f37,f39]) ).
fof(f41,plain,
! [X0] :
( ~ cd(X0)
| cdxcomp(X0) ),
inference(resolution,[],[f36,f35]) ).
fof(f42,plain,
! [X0] :
( ~ cc(sK1(X0))
| cdxcomp(X0) ),
inference(resolution,[],[f41,f40]) ).
fof(f45,plain,
! [X0,X1] :
( cdxcomp(X1)
| ~ cc(X0)
| ~ rr(X0,sK1(X1)) ),
inference(resolution,[],[f27,f42]) ).
fof(f46,plain,
! [X0,X1] :
( ~ rr(X0,sK1(X1))
| ~ cc(X0)
| ~ cUnsatisfiable(X1) ),
inference(resolution,[],[f45,f34]) ).
fof(f47,plain,
! [X0] :
( ~ ca_Ax2(X0)
| ~ cUnsatisfiable(X0)
| ~ cc(X0) ),
inference(resolution,[],[f46,f38]) ).
fof(f48,plain,
! [X0] :
( cd(X0)
| ~ cc(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f47,f39]) ).
fof(f49,plain,
! [X0] :
( ~ cc(X0)
| ~ cUnsatisfiable(X0)
| cdxcomp(X0) ),
inference(resolution,[],[f48,f41]) ).
fof(f51,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cdxcomp(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f49,f26]) ).
fof(f52,plain,
! [X0] :
( cdxcomp(X0)
| ~ cUnsatisfiable(X0) ),
inference(duplicate_literal_removal,[],[f51]) ).
fof(f53,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f52,f34]) ).
fof(f54,plain,
! [X0] : ~ cUnsatisfiable(X0),
inference(duplicate_literal_removal,[],[f53]) ).
fof(f55,plain,
$false,
inference(resolution,[],[f54,f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS105+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n016.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 13:29:02 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.11/0.45 % (2651358)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (2651369)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3863514024:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.45 % (2651369) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2651358-2651369"...
% 0.11/0.45 % (2651369)...printing done.
% 0.11/0.45 % (2651369)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (2651369)------------------------------
% 0.11/0.45 % (2651369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (2651369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (2651369)CaDiCaL version: 2.1.3
% 0.11/0.45 % (2651369)Termination reason: Refutation
% 0.11/0.45 % (2651369)Time elapsed: 0.001 s
% 0.11/0.45 % (2651369)Peak memory usage: 11 MB
% 0.11/0.45 % (2651369)Instructions burned: 1 (million)
% 0.11/0.45 % (2651358)Success in time 0.029 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------