%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS112+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 11:41:41 AM UTC 2026
% Result : Unsatisfiable 3.14s 1.33s
% Output : Refutation 3.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 13
% Syntax : Number of formulae : 88 ( 7 unt; 2 def)
% Number of atoms : 281 ( 20 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 327 ( 134 ~; 125 |; 52 &)
% ( 11 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 137 ( 0 sgn 115 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rf1(X0,X1)
& ca_Ax2(X1) )
& ? [X1] :
( rf(X0,X1)
& cp(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f27,axiom,
! [X0] :
( cp(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f28,axiom,
! [X0] :
( cpxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f29,axiom,
! [X0] :
( ca_Ax2(X0)
<=> ( cpxcomp(X0)
& ! [X1] :
( rinvF1(X0,X1)
=> ca_Vx3(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f30,axiom,
! [X0] :
( ca_Vx3(X0)
<=> ? [X1] :
( rs(X0,X1)
& cowlThing(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f31,axiom,
! [X0,X1,X2] :
( ( rf(X0,X1)
& rf(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( rf1(X0,X1)
& rf1(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f34,axiom,
! [X0,X1] :
( rinvF1(X0,X1)
<=> rf1(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f37,axiom,
cUnsatisfiable(i2003_11_14_17_21_19256),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f38,axiom,
! [X0,X1] :
( rs(X0,X1)
=> rf(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f39,axiom,
! [X0,X1] :
( rs(X0,X1)
=> rf1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f40,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rf1(X0,X1)
& ca_Ax2(X1) )
& ? [X2] :
( rf(X0,X2)
& cp(X2) ) ) ),
inference(rectify,[],[f26]) ).
fof(f87,plain,
! [X0] :
( cp(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f88,plain,
! [X0] :
( ca_Ax2(X0)
<=> ( cpxcomp(X0)
& ! [X1] :
( ca_Vx3(X1)
| ~ rinvF1(X0,X1) ) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f89,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) ),
inference(ennf_transformation,[],[f31]) ).
fof(f90,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf1(X0,X1)
| ~ rf1(X0,X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f92,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf1(X0,X1)
| ~ rf1(X0,X2) ),
inference(flattening,[],[f91]) ).
fof(f95,plain,
! [X0,X1] :
( rf(X0,X1)
| ~ rs(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f96,plain,
! [X0,X1] :
( rf1(X0,X1)
| ~ rs(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f98,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf1(X0,X1)
| ~ ca_Ax2(X1) )
| ! [X2] :
( ~ rf(X0,X2)
| ~ cp(X2) ) )
& ( ( ? [X1] :
( rf1(X0,X1)
& ca_Ax2(X1) )
& ? [X2] :
( rf(X0,X2)
& cp(X2) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f99,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf1(X0,X1)
| ~ ca_Ax2(X1) )
| ! [X2] :
( ~ rf(X0,X2)
| ~ cp(X2) ) )
& ( ( ? [X1] :
( rf1(X0,X1)
& ca_Ax2(X1) )
& ? [X2] :
( rf(X0,X2)
& cp(X2) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf1(X0,X1)
| ~ ca_Ax2(X1) )
| ! [X2] :
( ~ rf(X0,X2)
| ~ cp(X2) ) )
& ( ( ? [X3] :
( rf1(X0,X3)
& ca_Ax2(X3) )
& ? [X4] :
( rf(X0,X4)
& cp(X4) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f99]) ).
fof(f101,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf1(X0,X1)
| ~ ca_Ax2(X1) )
| ! [X2] :
( ~ rf(X0,X2)
| ~ cp(X2) ) )
& ( ( rf1(X0,sK0(X0))
& ca_Ax2(sK0(X0))
& rf(X0,sK1(X0))
& cp(sK1(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X3,sK0(X0)),skolemize(X4,sK1(X0))],[f100]) ).
fof(f102,plain,
! [X0] :
( ( cp(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cp(X0) ) ),
inference(nnf_transformation,[],[f87]) ).
fof(f103,plain,
! [X0] :
( ( cp(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp(X0) ) ),
inference(rectify,[],[f102]) ).
fof(f104,plain,
! [X0] :
( ( cp(X0)
| ra_Px1(X0,sK2(X0)) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f103]) ).
fof(f105,plain,
! [X0] :
( ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X1] : ra_Px1(X0,X1)
| ~ cpxcomp(X0) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f106,plain,
! [X0] :
( ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X2] : ra_Px1(X0,X2)
| ~ cpxcomp(X0) ) ),
inference(rectify,[],[f105]) ).
fof(f107,plain,
! [X0] :
( ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ra_Px1(X0,sK3(X0))
| ~ cpxcomp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0))],[f106]) ).
fof(f108,plain,
! [X0] :
( ( ca_Ax2(X0)
| ~ cpxcomp(X0)
| ? [X1] :
( ~ ca_Vx3(X1)
& rinvF1(X0,X1) ) )
& ( ( cpxcomp(X0)
& ! [X1] :
( ca_Vx3(X1)
| ~ rinvF1(X0,X1) ) )
| ~ ca_Ax2(X0) ) ),
inference(nnf_transformation,[],[f88]) ).
fof(f109,plain,
! [X0] :
( ( ca_Ax2(X0)
| ~ cpxcomp(X0)
| ? [X1] :
( ~ ca_Vx3(X1)
& rinvF1(X0,X1) ) )
& ( ( cpxcomp(X0)
& ! [X1] :
( ca_Vx3(X1)
| ~ rinvF1(X0,X1) ) )
| ~ ca_Ax2(X0) ) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0] :
( ( ca_Ax2(X0)
| ~ cpxcomp(X0)
| ? [X1] :
( ~ ca_Vx3(X1)
& rinvF1(X0,X1) ) )
& ( ( cpxcomp(X0)
& ! [X2] :
( ca_Vx3(X2)
| ~ rinvF1(X0,X2) ) )
| ~ ca_Ax2(X0) ) ),
inference(rectify,[],[f109]) ).
fof(f111,plain,
! [X0] :
( ( ca_Ax2(X0)
| ~ cpxcomp(X0)
| ( ~ ca_Vx3(sK4(X0))
& rinvF1(X0,sK4(X0)) ) )
& ( ( cpxcomp(X0)
& ! [X2] :
( ca_Vx3(X2)
| ~ rinvF1(X0,X2) ) )
| ~ ca_Ax2(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f110]) ).
fof(f112,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ rs(X0,X1)
| ~ cowlThing(X1) ) )
& ( ? [X1] :
( rs(X0,X1)
& cowlThing(X1) )
| ~ ca_Vx3(X0) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f113,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ rs(X0,X1)
| ~ cowlThing(X1) ) )
& ( ? [X2] :
( rs(X0,X2)
& cowlThing(X2) )
| ~ ca_Vx3(X0) ) ),
inference(rectify,[],[f112]) ).
fof(f114,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ rs(X0,X1)
| ~ cowlThing(X1) ) )
& ( ( rs(X0,sK5(X0))
& cowlThing(sK5(X0)) )
| ~ ca_Vx3(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0))],[f113]) ).
fof(f116,plain,
! [X0,X1] :
( ( rinvF1(X0,X1)
| ~ rf1(X1,X0) )
& ( rf1(X1,X0)
| ~ rinvF1(X0,X1) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f145,plain,
! [X0] :
( cp(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f146,plain,
! [X0] :
( rf(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f147,plain,
! [X0] :
( ca_Ax2(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f148,plain,
! [X0] :
( rf1(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f150,plain,
! [X2,X0] :
( ~ ra_Px1(X0,X2)
| ~ cp(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f152,plain,
! [X0] :
( ra_Px1(X0,sK3(X0))
| ~ cpxcomp(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f154,plain,
! [X2,X0] :
( ca_Vx3(X2)
| ~ rinvF1(X0,X2)
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f155,plain,
! [X0] :
( cpxcomp(X0)
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f159,plain,
! [X0] :
( rs(X0,sK5(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f161,plain,
! [X2,X0,X1] :
( ~ rf(X0,X1)
| X1 = X2
| ~ rf(X0,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ rf1(X0,X1)
| X1 = X2
| ~ rf1(X0,X2) ),
inference(cnf_transformation,[],[f92]) ).
fof(f166,plain,
! [X0,X1] :
( rinvF1(X0,X1)
| ~ rf1(X1,X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f170,plain,
cUnsatisfiable(i2003_11_14_17_21_19256),
inference(cnf_transformation,[],[f37]) ).
fof(f171,plain,
! [X0,X1] :
( rf(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f172,plain,
! [X0,X1] :
( rf1(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f196,plain,
! [X0] :
( ~ cpxcomp(X0)
| ~ cp(X0) ),
inference(resolution,[],[f152,f150]) ).
fof(f198,plain,
! [X0] :
( ~ ca_Ax2(X0)
| ~ cp(X0) ),
inference(resolution,[],[f196,f155]) ).
fof(f199,plain,
! [X0] :
( ~ cp(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f198,f147]) ).
fof(f208,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ rf(X0,X1)
| sK1(X0) = X1 ),
inference(resolution,[],[f161,f146]) ).
fof(f211,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ rf1(X0,X1)
| sK0(X0) = X1 ),
inference(resolution,[],[f162,f148]) ).
fof(f223,plain,
! [X0] :
( ~ rf(i2003_11_14_17_21_19256,X0)
| sK1(i2003_11_14_17_21_19256) = X0 ),
inference(resolution,[],[f208,f170]) ).
fof(f226,plain,
! [X0] :
( ~ rs(i2003_11_14_17_21_19256,X0)
| sK1(i2003_11_14_17_21_19256) = X0 ),
inference(resolution,[],[f223,f171]) ).
fof(f229,plain,
( sK1(i2003_11_14_17_21_19256) = sK5(i2003_11_14_17_21_19256)
| ~ ca_Vx3(i2003_11_14_17_21_19256) ),
inference(resolution,[],[f226,f159]) ).
fof(f232,definition,
( spl6_1
<=> ca_Vx3(i2003_11_14_17_21_19256) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f233,plain,
( ca_Vx3(i2003_11_14_17_21_19256)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f234,plain,
( ~ ca_Vx3(i2003_11_14_17_21_19256)
| spl6_1 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f236,definition,
( spl6_2
<=> sK1(i2003_11_14_17_21_19256) = sK5(i2003_11_14_17_21_19256) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f238,plain,
( sK1(i2003_11_14_17_21_19256) = sK5(i2003_11_14_17_21_19256)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f239,plain,
( ~ spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f229,f236,f232]) ).
fof(f240,plain,
! [X0] :
( ~ rf1(i2003_11_14_17_21_19256,X0)
| sK0(i2003_11_14_17_21_19256) = X0 ),
inference(resolution,[],[f211,f170]) ).
fof(f243,plain,
( ! [X0] :
( ~ rinvF1(X0,i2003_11_14_17_21_19256)
| ~ ca_Ax2(X0) )
| spl6_1 ),
inference(resolution,[],[f234,f154]) ).
fof(f251,plain,
( ! [X0] :
( ~ rf1(i2003_11_14_17_21_19256,X0)
| ~ ca_Ax2(X0) )
| spl6_1 ),
inference(resolution,[],[f243,f166]) ).
fof(f253,plain,
! [X0] :
( ~ rs(i2003_11_14_17_21_19256,X0)
| sK0(i2003_11_14_17_21_19256) = X0 ),
inference(resolution,[],[f240,f172]) ).
fof(f254,plain,
( ~ ca_Ax2(sK0(i2003_11_14_17_21_19256))
| ~ cUnsatisfiable(i2003_11_14_17_21_19256)
| spl6_1 ),
inference(resolution,[],[f251,f148]) ).
fof(f256,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_19256)
| spl6_1 ),
inference(forward_subsumption_resolution,[],[f254,f147]) ).
fof(f257,plain,
( $false
| spl6_1 ),
inference(forward_subsumption_resolution,[],[f256,f170]) ).
fof(f258,plain,
spl6_1,
inference(avatar_contradiction_clause,[],[f257]) ).
fof(f276,plain,
( sK5(i2003_11_14_17_21_19256) = sK0(i2003_11_14_17_21_19256)
| ~ ca_Vx3(i2003_11_14_17_21_19256) ),
inference(resolution,[],[f253,f159]) ).
fof(f278,plain,
( sK5(i2003_11_14_17_21_19256) = sK0(i2003_11_14_17_21_19256)
| ~ spl6_1 ),
inference(forward_subsumption_resolution,[],[f276,f233]) ).
fof(f280,plain,
( sK1(i2003_11_14_17_21_19256) = sK0(i2003_11_14_17_21_19256)
| ~ spl6_1
| ~ spl6_2 ),
inference(superposition,[],[f278,f238]) ).
fof(f296,plain,
( cp(sK0(i2003_11_14_17_21_19256))
| ~ cUnsatisfiable(i2003_11_14_17_21_19256)
| ~ spl6_1
| ~ spl6_2 ),
inference(superposition,[],[f145,f280]) ).
fof(f297,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_19256)
| ~ spl6_1
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f296,f199]) ).
fof(f299,plain,
( $false
| ~ spl6_1
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f297,f170]) ).
fof(f300,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_contradiction_clause,[],[f299]) ).
cnf(s1,plain,
( ~ spl6_1
| spl6_2 ),
inference(sat_conversion,[],[f239]) ).
cnf(s2,plain,
spl6_1,
inference(sat_conversion,[],[f258]) ).
cnf(s3,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(sat_conversion,[],[f300]) ).
cnf(s4,plain,
~ spl6_2,
inference(rat,[],[s3,s2]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s2]) ).
fof(f301,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS112+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n010.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 13:25:16 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.14/1.33 % (968370)Detected formulas, will run a generic FOF schedule.
% 3.14/1.33 % (968379)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2459876168:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.14/1.33 % (968379)Refutation not found, incomplete strategy
% 3.14/1.33 % (968379)------------------------------
% 3.14/1.33 % (968379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.33 % (968379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.33 % (968379)CaDiCaL version: 2.1.3
% 3.14/1.33 % (968379)Termination reason: Refutation not found, incomplete strategy
% 3.14/1.33 % (968379)Time elapsed: 0.0000 s
% 3.14/1.33 % (968379)Peak memory usage: 86 MB
% 3.14/1.33 % (968375)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2017548458:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.14/1.33 % (968376)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4207603862:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.14/1.33 % (968377)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2126867218:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.14/1.33 % (968381)dis-21_1_sil=8000:lcm=predicate:random_seed=791172401:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.14/1.33 % (968378)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3173241024:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.14/1.33 % (968378)Refutation not found, incomplete strategy
% 3.14/1.33 % (968378)------------------------------
% 3.14/1.33 % (968378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.33 % (968378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.33 % (968378)CaDiCaL version: 2.1.3
% 3.14/1.33 % (968378)Termination reason: Refutation not found, incomplete strategy
% 3.14/1.33 % (968378)Time elapsed: 0.001 s
% 3.14/1.33 % (968378)Peak memory usage: 86 MB
% 3.14/1.33 % (968380)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=788460161:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.14/1.33 % (968380)First to succeed.
% 3.14/1.33 % (968380)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-968370"
% 3.14/1.33 % (968381)Instruction limit reached!
% 3.14/1.33 % (968381)------------------------------
% 3.14/1.33 % (968381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.33 % (968381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.33 % (968381)CaDiCaL version: 2.1.3
% 3.14/1.33 % (968381)Termination reason: Instruction limit
% 3.14/1.33 % (968381)Termination phase: Saturation
% 3.14/1.33 % (968381)Time elapsed: 0.065 s
% 3.14/1.33 % (968381)Peak memory usage: 88 MB
% 3.14/1.33 % (968381)Instructions burned: 131 (million)
% 3.14/1.33 % (968379)------------------------------
% 3.14/1.33 % (968379)------------------------------
% 3.14/1.33 % (968390)lrs+10_1_sil=32000:urr=on:br=off:random_seed=838875431:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.14/1.33 % (968390)Refutation not found, incomplete strategy
% 3.14/1.33 % (968390)------------------------------
% 3.14/1.33 % (968390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.33 % (968390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.33 % (968390)CaDiCaL version: 2.1.3
% 3.14/1.33 % (968390)Termination reason: Refutation not found, incomplete strategy
% 3.14/1.33 % (968390)Time elapsed: 0.0000 s
% 3.14/1.33 % (968390)Peak memory usage: 87 MB
% 3.14/1.33 % (968389)lrs+10_1_sil=8000:sp=occurrence:random_seed=733139488:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.14/1.33 % (968389)Refutation not found, incomplete strategy
% 3.14/1.33 % (968389)------------------------------
% 3.14/1.33 % (968389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.33 % (968389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.33 % (968389)CaDiCaL version: 2.1.3
% 3.14/1.33 % (968389)Termination reason: Refutation not found, incomplete strategy
% 3.14/1.33 % (968389)Time elapsed: 0.0000 s
% 3.14/1.33 % (968389)Peak memory usage: 86 MB
% 3.14/1.33 % (968378)------------------------------
% 3.14/1.33 % (968378)------------------------------
% 3.14/1.33 % (968380)Refutation found. Thanks to Tanya!
% 3.14/1.33 % SZS status Unsatisfiable for theBenchmark
% 3.14/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 3.93/1.53 % (968380)------------------------------
% 3.93/1.53 % (968380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.93/1.53 % (968380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/1.53 % (968380)CaDiCaL version: 2.1.3
% 3.93/1.53 % (968380)Termination reason: Refutation
% 3.93/1.53 % (968380)Time elapsed: 0.008 s
% 3.93/1.53 % (968380)Peak memory usage: 90 MB
% 3.93/1.53 % (968380)Instructions burned: 8 (million)
% 3.93/1.53 % (968380)------------------------------
% 3.93/1.53 % (968380)------------------------------
% 3.93/1.53 % (968370)Success in time 0.467 s
% 3.93/1.53 % Vampire exiting
%------------------------------------------------------------------------------