%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS122+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 : n015.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 11:42:19 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.46s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 50 ( 11 unt; 1 def)
% Number of atoms : 104 ( 7 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 98 ( 44 ~; 38 |; 5 &)
% ( 9 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 51 ( 0 sgn 47 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ? [X1] :
( rf(X0,X1)
& ca_Ax2(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f23,axiom,
! [X0] :
( cp1(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f24,axiom,
! [X0] :
( cp1xcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f25,axiom,
! [X0] :
( ca_Ax2(X0)
<=> ( cp1(X0)
& ! [X1] :
( rinvF(X0,X1)
=> ca_Vx3(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f26,axiom,
! [X0] :
( ca_Vx3(X0)
<=> ? [X1] :
( rf(X0,X1)
& cp1xcomp(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f27,axiom,
! [X0,X1,X2] :
( ( rf(X0,X1)
& rf(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f28,axiom,
! [X0,X1] :
( rinvF(X0,X1)
<=> rf(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f31,axiom,
cUnsatisfiable(i2003_11_14_17_21_55116),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f70,plain,
! [X0] :
( cp1(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f71,plain,
! [X0] :
( ca_Ax2(X0)
<=> ( cp1(X0)
& ! [X1] :
( ca_Vx3(X1)
| ~ rinvF(X0,X1) ) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f72,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) ),
inference(ennf_transformation,[],[f27]) ).
fof(f73,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) ),
inference(flattening,[],[f72]) ).
fof(f99,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ca_Ax2(sK0(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f100,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rf(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f103,plain,
! [X0,X1] :
( ~ cp1(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f105,plain,
! [X0] :
( ~ cp1xcomp(X0)
| ra_Px1(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f108,plain,
! [X0,X1] :
( ca_Vx3(X1)
| ~ rinvF(X0,X1)
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f109,plain,
! [X0] :
( cp1(X0)
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f110,plain,
! [X0] :
( cp1xcomp(sK4(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f111,plain,
! [X0] :
( ~ ca_Vx3(X0)
| rf(X0,sK4(X0)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f113,plain,
! [X2,X0,X1] :
( ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f73]) ).
fof(f114,plain,
! [X0,X1] :
( rinvF(X0,X1)
| ~ rf(X1,X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f119,plain,
cUnsatisfiable(i2003_11_14_17_21_55116),
inference(cnf_transformation,[],[f31]) ).
fof(f140,plain,
ca_Ax2(sK0(i2003_11_14_17_21_55116)),
inference(resolution,[],[f99,f119]) ).
fof(f141,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ ca_Ax2(X0) ),
inference(resolution,[],[f103,f109]) ).
fof(f142,plain,
rf(i2003_11_14_17_21_55116,sK0(i2003_11_14_17_21_55116)),
inference(resolution,[],[f100,f119]) ).
fof(f145,plain,
! [X0] :
( ~ ca_Vx3(X0)
| ra_Px1(sK4(X0),sK2(sK4(X0))) ),
inference(resolution,[],[f105,f110]) ).
fof(f152,plain,
! [X0,X1] :
( ~ rinvF(X0,X1)
| ~ ca_Ax2(X0)
| rf(X1,sK4(X1)) ),
inference(resolution,[],[f108,f111]) ).
fof(f159,plain,
! [X0] :
( ~ rf(i2003_11_14_17_21_55116,X0)
| sK0(i2003_11_14_17_21_55116) = X0 ),
inference(resolution,[],[f113,f142]) ).
fof(f189,plain,
! [X0,X1] :
( ~ ca_Ax2(X0)
| rf(X1,sK4(X1))
| ~ rf(X1,X0) ),
inference(resolution,[],[f152,f114]) ).
fof(f190,plain,
! [X0] :
( rf(X0,sK4(X0))
| ~ rf(X0,sK0(i2003_11_14_17_21_55116)) ),
inference(resolution,[],[f189,f140]) ).
fof(f197,plain,
( ~ rf(i2003_11_14_17_21_55116,sK0(i2003_11_14_17_21_55116))
| sK0(i2003_11_14_17_21_55116) = sK4(i2003_11_14_17_21_55116) ),
inference(resolution,[],[f190,f159]) ).
fof(f198,plain,
sK0(i2003_11_14_17_21_55116) = sK4(i2003_11_14_17_21_55116),
inference(forward_subsumption_resolution,[],[f197,f142]) ).
fof(f213,definition,
( spl5_1
<=> ca_Vx3(i2003_11_14_17_21_55116) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f214,plain,
( ca_Vx3(i2003_11_14_17_21_55116)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f215,plain,
( ~ ca_Vx3(i2003_11_14_17_21_55116)
| spl5_1 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f225,plain,
( ! [X0] :
( ~ rinvF(X0,i2003_11_14_17_21_55116)
| ~ ca_Ax2(X0) )
| spl5_1 ),
inference(resolution,[],[f215,f108]) ).
fof(f229,plain,
( ! [X0] :
( ~ ca_Ax2(X0)
| ~ rf(i2003_11_14_17_21_55116,X0) )
| spl5_1 ),
inference(resolution,[],[f225,f114]) ).
fof(f233,plain,
( ~ rf(i2003_11_14_17_21_55116,sK0(i2003_11_14_17_21_55116))
| spl5_1 ),
inference(resolution,[],[f229,f140]) ).
fof(f236,plain,
( $false
| spl5_1 ),
inference(forward_subsumption_resolution,[],[f233,f142]) ).
fof(f237,plain,
spl5_1,
inference(avatar_contradiction_clause,[],[f236]) ).
fof(f242,plain,
( ra_Px1(sK4(i2003_11_14_17_21_55116),sK2(sK4(i2003_11_14_17_21_55116)))
| ~ spl5_1 ),
inference(resolution,[],[f214,f145]) ).
fof(f245,plain,
( ra_Px1(sK0(i2003_11_14_17_21_55116),sK2(sK0(i2003_11_14_17_21_55116)))
| ~ spl5_1 ),
inference(forward_demodulation,[],[f242,f198]) ).
fof(f265,plain,
( ~ ca_Ax2(sK0(i2003_11_14_17_21_55116))
| ~ spl5_1 ),
inference(resolution,[],[f245,f141]) ).
fof(f266,plain,
( $false
| ~ spl5_1 ),
inference(forward_subsumption_resolution,[],[f265,f140]) ).
fof(f267,plain,
~ spl5_1,
inference(avatar_contradiction_clause,[],[f266]) ).
cnf(s2,plain,
spl5_1,
inference(sat_conversion,[],[f237]) ).
cnf(s3,plain,
~ spl5_1,
inference(sat_conversion,[],[f267]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s2,s3]) ).
fof(f268,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS122+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39 % Computer : n015.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8046.5625MB
% 0.09/0.39 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Sun Sep 27 13:30:31 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.43 Running first-order model finding
% 0.09/0.43 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
% 0.17/0.46 % (1676436)Will run a generic schedule for satisfiability detection.
% 0.17/0.46 % (1676445)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2611001744:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.46 % (1676442)% WARNING: option uhcvi not known.
% 0.17/0.46 % (1676445) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1676436-1676445"...
% 0.17/0.46 % (1676445)...printing done.
% 0.17/0.46 % (1676445)Refutation found. Thanks to Tanya!
% 0.17/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (1676445)------------------------------
% 0.17/0.47 % (1676445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (1676445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (1676445)CaDiCaL version: 2.1.3
% 0.17/0.47 % (1676445)Termination reason: Refutation
% 0.17/0.47 % (1676445)Time elapsed: 0.004 s
% 0.17/0.47 % (1676445)Peak memory usage: 12 MB
% 0.17/0.47 % (1676445)Instructions burned: 7 (million)
% 0.17/0.47 % (1676436)Success in time 0.028 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------