%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS109+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 11:41:40 AM UTC 2026
% Result : Unsatisfiable 2.65s 1.28s
% Output : Refutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 12
% Syntax : Number of formulae : 84 ( 7 unt; 2 def)
% Number of atoms : 276 ( 10 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 327 ( 135 ~; 125 |; 49 &)
% ( 12 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 131 ( 0 sgn 112 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( cpxcomp(X0)
& ? [X1] :
( rf(X0,X1)
& ca_Ax2(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f27,axiom,
! [X0] :
( cp(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f28,axiom,
! [X0] :
( cpxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f29,axiom,
! [X0] :
( ca_Ax2(X0)
<=> ( ! [X1] :
( rinvS(X0,X1)
=> cp(X1) )
& ! [X1] :
( rinvF(X0,X1)
=> ca_Vx3(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f30,axiom,
! [X0] :
( ca_Vx3(X0)
<=> ? [X1] :
( rs(X0,X1)
& cp(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f31,axiom,
! [X0,X1,X2] :
( ( rf(X0,X1)
& rf(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f33,axiom,
! [X0,X1] :
( rinvF(X0,X1)
<=> rf(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f35,axiom,
! [X0,X1] :
( rinvS(X0,X1)
<=> rs(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f37,axiom,
cUnsatisfiable(i2003_11_14_17_21_08508),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f38,axiom,
! [X0,X1] :
( rs(X0,X1)
=> rf(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f40,plain,
! [X0] :
( ca_Ax2(X0)
<=> ( ! [X1] :
( rinvS(X0,X1)
=> cp(X1) )
& ! [X2] :
( rinvF(X0,X2)
=> ca_Vx3(X2) ) ) ),
inference(rectify,[],[f29]) ).
fof(f87,plain,
! [X0] :
( cp(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f88,plain,
! [X0] :
( ca_Ax2(X0)
<=> ( ! [X1] :
( cp(X1)
| ~ rinvS(X0,X1) )
& ! [X2] :
( ca_Vx3(X2)
| ~ rinvF(X0,X2) ) ) ),
inference(ennf_transformation,[],[f40]) ).
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(f95,plain,
! [X0,X1] :
( rf(X0,X1)
| ~ rs(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f98,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cpxcomp(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ~ ca_Ax2(X1) ) )
& ( ( cpxcomp(X0)
& ? [X1] :
( rf(X0,X1)
& ca_Ax2(X1) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f99,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cpxcomp(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ~ ca_Ax2(X1) ) )
& ( ( cpxcomp(X0)
& ? [X1] :
( rf(X0,X1)
& ca_Ax2(X1) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cpxcomp(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ~ ca_Ax2(X1) ) )
& ( ( cpxcomp(X0)
& ? [X2] :
( rf(X0,X2)
& ca_Ax2(X2) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f99]) ).
fof(f101,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cpxcomp(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ~ ca_Ax2(X1) ) )
& ( ( cpxcomp(X0)
& rf(X0,sK0(X0))
& ca_Ax2(sK0(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(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,sK1(X0)) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(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,sK2(X0))
| ~ cpxcomp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0))],[f106]) ).
fof(f108,plain,
! [X0] :
( ( ca_Ax2(X0)
| ? [X1] :
( ~ cp(X1)
& rinvS(X0,X1) )
| ? [X2] :
( ~ ca_Vx3(X2)
& rinvF(X0,X2) ) )
& ( ( ! [X1] :
( cp(X1)
| ~ rinvS(X0,X1) )
& ! [X2] :
( ca_Vx3(X2)
| ~ rinvF(X0,X2) ) )
| ~ ca_Ax2(X0) ) ),
inference(nnf_transformation,[],[f88]) ).
fof(f109,plain,
! [X0] :
( ( ca_Ax2(X0)
| ? [X1] :
( ~ cp(X1)
& rinvS(X0,X1) )
| ? [X2] :
( ~ ca_Vx3(X2)
& rinvF(X0,X2) ) )
& ( ( ! [X1] :
( cp(X1)
| ~ rinvS(X0,X1) )
& ! [X2] :
( ca_Vx3(X2)
| ~ rinvF(X0,X2) ) )
| ~ ca_Ax2(X0) ) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0] :
( ( ca_Ax2(X0)
| ? [X1] :
( ~ cp(X1)
& rinvS(X0,X1) )
| ? [X2] :
( ~ ca_Vx3(X2)
& rinvF(X0,X2) ) )
& ( ( ! [X3] :
( cp(X3)
| ~ rinvS(X0,X3) )
& ! [X4] :
( ca_Vx3(X4)
| ~ rinvF(X0,X4) ) )
| ~ ca_Ax2(X0) ) ),
inference(rectify,[],[f109]) ).
fof(f111,plain,
! [X0] :
( ( ca_Ax2(X0)
| ( ~ cp(sK3(X0))
& rinvS(X0,sK3(X0)) )
| ( ~ ca_Vx3(sK4(X0))
& rinvF(X0,sK4(X0)) ) )
& ( ( ! [X3] :
( cp(X3)
| ~ rinvS(X0,X3) )
& ! [X4] :
( ca_Vx3(X4)
| ~ rinvF(X0,X4) ) )
| ~ ca_Ax2(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X1,sK3(X0)),skolemize(X2,sK4(X0))],[f110]) ).
fof(f112,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ rs(X0,X1)
| ~ cp(X1) ) )
& ( ? [X1] :
( rs(X0,X1)
& cp(X1) )
| ~ ca_Vx3(X0) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f113,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ rs(X0,X1)
| ~ cp(X1) ) )
& ( ? [X2] :
( rs(X0,X2)
& cp(X2) )
| ~ ca_Vx3(X0) ) ),
inference(rectify,[],[f112]) ).
fof(f114,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ rs(X0,X1)
| ~ cp(X1) ) )
& ( ( rs(X0,sK5(X0))
& cp(sK5(X0)) )
| ~ ca_Vx3(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0))],[f113]) ).
fof(f115,plain,
! [X0,X1] :
( ( rinvF(X0,X1)
| ~ rf(X1,X0) )
& ( rf(X1,X0)
| ~ rinvF(X0,X1) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f117,plain,
! [X0,X1] :
( ( rinvS(X0,X1)
| ~ rs(X1,X0) )
& ( rs(X1,X0)
| ~ rinvS(X0,X1) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f145,plain,
! [X0] :
( ca_Ax2(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f146,plain,
! [X0] :
( rf(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f147,plain,
! [X0] :
( cpxcomp(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f149,plain,
! [X2,X0] :
( ~ cp(X0)
| ~ ra_Px1(X0,X2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f150,plain,
! [X0] :
( ra_Px1(X0,sK1(X0))
| cp(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f151,plain,
! [X0] :
( ra_Px1(X0,sK2(X0))
| ~ cpxcomp(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f153,plain,
! [X0,X4] :
( ca_Vx3(X4)
| ~ rinvF(X0,X4)
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f154,plain,
! [X3,X0] :
( cp(X3)
| ~ rinvS(X0,X3)
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f160,plain,
! [X0] :
( rs(X0,sK5(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ rf(X0,X1)
| X1 = X2
| ~ rf(X0,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f165,plain,
! [X0,X1] :
( rinvF(X0,X1)
| ~ rf(X1,X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f169,plain,
! [X0,X1] :
( rinvS(X0,X1)
| ~ rs(X1,X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f171,plain,
cUnsatisfiable(i2003_11_14_17_21_08508),
inference(cnf_transformation,[],[f37]) ).
fof(f172,plain,
! [X0,X1] :
( rf(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f201,plain,
! [X2,X0,X1] :
( ~ ca_Ax2(X0)
| ~ rinvS(X0,X1)
| ~ ra_Px1(X1,X2) ),
inference(resolution,[],[f154,f149]) ).
fof(f204,plain,
! [X2,X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ ra_Px1(X1,X2)
| ~ rinvS(sK0(X0),X1) ),
inference(resolution,[],[f201,f145]) ).
fof(f209,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ rf(X0,X1)
| sK0(X0) = X1 ),
inference(resolution,[],[f162,f146]) ).
fof(f217,plain,
! [X0] :
( ~ rf(i2003_11_14_17_21_08508,X0)
| sK0(i2003_11_14_17_21_08508) = X0 ),
inference(resolution,[],[f209,f171]) ).
fof(f220,plain,
! [X0] :
( ~ rs(i2003_11_14_17_21_08508,X0)
| sK0(i2003_11_14_17_21_08508) = X0 ),
inference(resolution,[],[f217,f172]) ).
fof(f223,plain,
( sK0(i2003_11_14_17_21_08508) = sK5(i2003_11_14_17_21_08508)
| ~ ca_Vx3(i2003_11_14_17_21_08508) ),
inference(resolution,[],[f220,f160]) ).
fof(f226,definition,
( spl6_1
<=> ca_Vx3(i2003_11_14_17_21_08508) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f227,plain,
( ca_Vx3(i2003_11_14_17_21_08508)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f228,plain,
( ~ ca_Vx3(i2003_11_14_17_21_08508)
| spl6_1 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f230,definition,
( spl6_2
<=> sK0(i2003_11_14_17_21_08508) = sK5(i2003_11_14_17_21_08508) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f232,plain,
( sK0(i2003_11_14_17_21_08508) = sK5(i2003_11_14_17_21_08508)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f233,plain,
( ~ spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f223,f230,f226]) ).
fof(f235,plain,
( ! [X0] :
( ~ rinvF(X0,i2003_11_14_17_21_08508)
| ~ ca_Ax2(X0) )
| spl6_1 ),
inference(resolution,[],[f228,f153]) ).
fof(f237,plain,
( ! [X0] :
( ~ rf(i2003_11_14_17_21_08508,X0)
| ~ ca_Ax2(X0) )
| spl6_1 ),
inference(resolution,[],[f235,f165]) ).
fof(f240,plain,
( ~ ca_Ax2(sK0(i2003_11_14_17_21_08508))
| ~ cUnsatisfiable(i2003_11_14_17_21_08508)
| spl6_1 ),
inference(resolution,[],[f237,f146]) ).
fof(f242,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_08508)
| spl6_1 ),
inference(forward_subsumption_resolution,[],[f240,f145]) ).
fof(f243,plain,
( $false
| spl6_1 ),
inference(forward_subsumption_resolution,[],[f242,f171]) ).
fof(f244,plain,
spl6_1,
inference(avatar_contradiction_clause,[],[f243]) ).
fof(f252,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ rinvS(sK0(i2003_11_14_17_21_08508),X0) ),
inference(resolution,[],[f204,f171]) ).
fof(f271,plain,
( rs(i2003_11_14_17_21_08508,sK0(i2003_11_14_17_21_08508))
| ~ ca_Vx3(i2003_11_14_17_21_08508)
| ~ spl6_2 ),
inference(superposition,[],[f160,f232]) ).
fof(f272,plain,
( rs(i2003_11_14_17_21_08508,sK0(i2003_11_14_17_21_08508))
| ~ spl6_1
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f271,f227]) ).
fof(f309,plain,
! [X0] :
( ~ rinvS(sK0(i2003_11_14_17_21_08508),X0)
| cp(X0) ),
inference(resolution,[],[f252,f150]) ).
fof(f314,plain,
! [X0] :
( ~ rs(X0,sK0(i2003_11_14_17_21_08508))
| cp(X0) ),
inference(resolution,[],[f309,f169]) ).
fof(f350,plain,
( cp(i2003_11_14_17_21_08508)
| ~ spl6_1
| ~ spl6_2 ),
inference(resolution,[],[f314,f272]) ).
fof(f353,plain,
( ! [X0] : ~ ra_Px1(i2003_11_14_17_21_08508,X0)
| ~ spl6_1
| ~ spl6_2 ),
inference(resolution,[],[f350,f149]) ).
fof(f357,plain,
( ~ cpxcomp(i2003_11_14_17_21_08508)
| ~ spl6_1
| ~ spl6_2 ),
inference(resolution,[],[f353,f151]) ).
fof(f362,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_08508)
| ~ spl6_1
| ~ spl6_2 ),
inference(resolution,[],[f357,f147]) ).
fof(f363,plain,
( $false
| ~ spl6_1
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f362,f171]) ).
fof(f364,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_contradiction_clause,[],[f363]) ).
cnf(s1,plain,
( ~ spl6_1
| spl6_2 ),
inference(sat_conversion,[],[f233]) ).
cnf(s2,plain,
spl6_1,
inference(sat_conversion,[],[f244]) ).
cnf(s7,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(sat_conversion,[],[f364]) ).
cnf(s8,plain,
~ spl6_2,
inference(rat,[],[s7,s2]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s1,s8,s2]) ).
fof(f365,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS109+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n020.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 13:25:35 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.65/1.28 % (3382026)Detected formulas, will run a generic FOF schedule.
% 2.65/1.28 % (3382034)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4279755185:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.65/1.28 % (3382034)Refutation not found, incomplete strategy
% 2.65/1.28 % (3382034)------------------------------
% 2.65/1.28 % (3382034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.28 % (3382034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.28 % (3382034)CaDiCaL version: 2.1.3
% 2.65/1.28 % (3382034)Termination reason: Refutation not found, incomplete strategy
% 2.65/1.28 % (3382034)Time elapsed: 0.0000 s
% 2.65/1.28 % (3382034)Peak memory usage: 86 MB
% 2.65/1.28 % (3382035)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1253343954:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.65/1.28 % (3382037)dis-21_1_sil=8000:lcm=predicate:random_seed=162357915: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)
% 2.65/1.28 % (3382033)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=3346455853:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.65/1.28 % (3382032)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=977143634:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.65/1.28 % (3382031)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=3108687875:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.65/1.28 % (3382036)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4004451850:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.65/1.28 % (3382035)Refutation not found, incomplete strategy
% 2.65/1.28 % (3382035)------------------------------
% 2.65/1.28 % (3382035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.28 % (3382035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.28 % (3382035)CaDiCaL version: 2.1.3
% 2.65/1.28 % (3382035)Termination reason: Refutation not found, incomplete strategy
% 2.65/1.28 % (3382035)Time elapsed: 0.0000 s
% 2.65/1.28 % (3382035)Peak memory usage: 86 MB
% 2.65/1.28 % (3382036)First to succeed.
% 2.65/1.28 % (3382036)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3382026"
% 2.65/1.28 % (3382037)Instruction limit reached!
% 2.65/1.28 % (3382037)------------------------------
% 2.65/1.28 % (3382037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.28 % (3382037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.28 % (3382037)CaDiCaL version: 2.1.3
% 2.65/1.28 % (3382037)Termination reason: Instruction limit
% 2.65/1.28 % (3382037)Termination phase: Saturation
% 2.65/1.28 % (3382037)Time elapsed: 0.073 s
% 2.65/1.28 % (3382037)Peak memory usage: 88 MB
% 2.65/1.28 % (3382037)Instructions burned: 130 (million)
% 2.65/1.28 % (3382034)------------------------------
% 2.65/1.28 % (3382034)------------------------------
% 2.65/1.28 % (3382046)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1270045041:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.65/1.28 % (3382046)Refutation not found, incomplete strategy
% 2.65/1.28 % (3382046)------------------------------
% 2.65/1.28 % (3382046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.28 % (3382046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.28 % (3382046)CaDiCaL version: 2.1.3
% 2.65/1.28 % (3382046)Termination reason: Refutation not found, incomplete strategy
% 2.65/1.28 % (3382046)Time elapsed: 0.0000 s
% 2.65/1.28 % (3382046)Peak memory usage: 87 MB
% 2.65/1.28 % (3382045)lrs+10_1_sil=8000:sp=occurrence:random_seed=1522946281:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.65/1.28 % (3382045)Refutation not found, incomplete strategy
% 2.65/1.28 % (3382045)------------------------------
% 2.65/1.28 % (3382045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.28 % (3382045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.28 % (3382045)CaDiCaL version: 2.1.3
% 2.65/1.28 % (3382045)Termination reason: Refutation not found, incomplete strategy
% 2.65/1.28 % (3382045)Time elapsed: 0.001 s
% 2.65/1.28 % (3382045)Peak memory usage: 86 MB
% 2.65/1.28 % (3382035)------------------------------
% 2.65/1.28 % (3382035)------------------------------
% 2.65/1.28 % (3382036)Refutation found. Thanks to Tanya!
% 2.65/1.28 % SZS status Unsatisfiable for theBenchmark
% 2.65/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.56/1.47 % (3382036)------------------------------
% 3.56/1.47 % (3382036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.47 % (3382036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.47 % (3382036)CaDiCaL version: 2.1.3
% 3.56/1.47 % (3382036)Termination reason: Refutation
% 3.56/1.47 % (3382036)Time elapsed: 0.009 s
% 3.56/1.47 % (3382036)Peak memory usage: 90 MB
% 3.56/1.47 % (3382036)Instructions burned: 10 (million)
% 3.56/1.47 % (3382036)------------------------------
% 3.56/1.47 % (3382036)------------------------------
% 3.56/1.47 % (3382026)Success in time 0.418 s
% 3.56/1.47 % Vampire exiting
%------------------------------------------------------------------------------