%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS116+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 : n008.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 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 14
% Syntax : Number of formulae : 85 ( 19 unt; 0 def)
% Number of atoms : 234 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 211 ( 62 ~; 57 |; 41 &)
% ( 12 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 144 ( 123 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( cUnsatisfiable(X0)
=> ca(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
! [X0] :
( cUnsatisfiable(X0)
=> ? [X1] :
( rs(X0,X1)
& ca_Ax2(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,axiom,
! [X0] :
( ca(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,axiom,
! [X0] :
( caxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,axiom,
! [X0] :
( cc(X0)
<=> ! [X1] :
( rinvR(X0,X1)
=> ca_Vx7(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f8,axiom,
! [X0] :
( ca_Ax2(X0)
<=> ( ! [X1] :
( rp(X0,X1)
=> ca_Vx3(X1) )
& ! [X1] :
( rp(X0,X1)
=> ca_Vx5(X1) )
& ! [X1] :
( rr(X0,X1)
=> cc(X1) )
& ? [X1] :
( rr(X0,X1)
& cowlThing(X1) )
& ? [X1] :
( rp(X0,X1)
& cowlThing(X1) )
& ! [X1] :
( rp(X0,X1)
=> ca_Vx4(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f9,axiom,
! [X0] :
( ca_Vx3(X0)
<=> ? [X1] :
( rr(X0,X1)
& cowlThing(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f11,axiom,
! [X0] :
( ca_Vx5(X0)
<=> ! [X1] :
( rr(X0,X1)
=> cc(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f12,axiom,
! [X0] :
( ca_Vx6(X0)
<=> ! [X1] :
( rinvS(X0,X1)
=> caxcomp(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f13,axiom,
! [X0] :
( ca_Vx7(X0)
<=> ! [X1] :
( rinvP(X0,X1)
=> ca_Vx6(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f14,axiom,
! [X0,X1] :
( rinvP(X0,X1)
<=> rp(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f15,axiom,
! [X0,X1] :
( rinvR(X0,X1)
<=> rr(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f16,axiom,
! [X0,X1] :
( rinvS(X0,X1)
<=> rs(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f18,axiom,
cUnsatisfiable(i2003_11_14_17_21_33997),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f19,plain,
! [X0] :
( ca_Ax2(X0)
<=> ( ! [X1] :
( rp(X0,X1)
=> ca_Vx3(X1) )
& ! [X2] :
( rp(X0,X2)
=> ca_Vx5(X2) )
& ! [X3] :
( rr(X0,X3)
=> cc(X3) )
& ? [X4] :
( rr(X0,X4)
& cowlThing(X4) )
& ? [X5] :
( rp(X0,X5)
& cowlThing(X5) )
& ! [X6] :
( rp(X0,X6)
=> ca_Vx4(X6) ) ) ),
inference(rectify,[],[f8]) ).
fof(f20,plain,
! [X0] :
( ca_Ax2(X0)
=> ( ! [X1] :
( rp(X0,X1)
=> ca_Vx3(X1) )
& ! [X2] :
( rp(X0,X2)
=> ca_Vx5(X2) )
& ! [X3] :
( rr(X0,X3)
=> cc(X3) )
& ? [X4] :
( rr(X0,X4)
& cowlThing(X4) )
& ? [X5] :
( rp(X0,X5)
& cowlThing(X5) )
& ! [X6] :
( rp(X0,X6)
=> ca_Vx4(X6) ) ) ),
inference(unused_predicate_definition_removal,[],[f19]) ).
fof(f21,plain,
! [X0] :
( ca_Vx3(X0)
=> ? [X1] :
( rr(X0,X1)
& cowlThing(X1) ) ),
inference(unused_predicate_definition_removal,[],[f9]) ).
fof(f22,plain,
! [X0] :
( ca_Vx5(X0)
=> ! [X1] :
( rr(X0,X1)
=> cc(X1) ) ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f23,plain,
! [X0] :
( cc(X0)
=> ! [X1] :
( rinvR(X0,X1)
=> ca_Vx7(X1) ) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f24,plain,
! [X0] :
( ca_Vx7(X0)
=> ! [X1] :
( rinvP(X0,X1)
=> ca_Vx6(X1) ) ),
inference(unused_predicate_definition_removal,[],[f13]) ).
fof(f25,plain,
! [X0] :
( ca_Vx6(X0)
=> ! [X1] :
( rinvS(X0,X1)
=> caxcomp(X1) ) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f26,plain,
! [X0] :
( caxcomp(X0)
=> ? [X1] : ra_Px1(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f6]) ).
fof(f27,plain,
! [X0,X1] :
( rs(X1,X0)
=> rinvS(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f16]) ).
fof(f28,plain,
! [X0,X1] :
( rp(X1,X0)
=> rinvP(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f14]) ).
fof(f29,plain,
! [X0,X1] :
( rr(X1,X0)
=> rinvR(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f15]) ).
fof(f31,plain,
! [X0] :
( ca(X0)
=> ~ ? [X1] : ra_Px1(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f5]) ).
fof(f32,plain,
! [X0] :
( ca_Ax2(X0)
=> ( ! [X1] :
( rp(X0,X1)
=> ca_Vx3(X1) )
& ! [X2] :
( rp(X0,X2)
=> ca_Vx5(X2) )
& ! [X3] :
( rr(X0,X3)
=> cc(X3) )
& ? [X4] : rr(X0,X4)
& ? [X5] : rp(X0,X5)
& ! [X6] :
( rp(X0,X6)
=> ca_Vx4(X6) ) ) ),
inference(pure_predicate_removal,[],[f20]) ).
fof(f35,plain,
! [X0] :
( ca_Vx3(X0)
=> ? [X1] : rr(X0,X1) ),
inference(pure_predicate_removal,[],[f21]) ).
fof(f37,plain,
! [X0] :
( ca(X0)
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f38,plain,
! [X0] :
( ? [X1] :
( rs(X0,X1)
& ca_Ax2(X1) )
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f39,plain,
! [X0] :
( ! [X1] : ~ ra_Px1(X0,X1)
| ~ ca(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f40,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
| ~ caxcomp(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( ca_Vx7(X1)
| ~ rinvR(X0,X1) )
| ~ cc(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f42,plain,
! [X0] :
( ( ! [X1] :
( ca_Vx3(X1)
| ~ rp(X0,X1) )
& ! [X2] :
( ca_Vx5(X2)
| ~ rp(X0,X2) )
& ! [X3] :
( cc(X3)
| ~ rr(X0,X3) )
& ? [X4] : rr(X0,X4)
& ? [X5] : rp(X0,X5)
& ! [X6] :
( ca_Vx4(X6)
| ~ rp(X0,X6) ) )
| ~ ca_Ax2(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f43,plain,
! [X0] :
( ? [X1] : rr(X0,X1)
| ~ ca_Vx3(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( cc(X1)
| ~ rr(X0,X1) )
| ~ ca_Vx5(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f46,plain,
! [X0] :
( ! [X1] :
( caxcomp(X1)
| ~ rinvS(X0,X1) )
| ~ ca_Vx6(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f47,plain,
! [X0] :
( ! [X1] :
( ca_Vx6(X1)
| ~ rinvP(X0,X1) )
| ~ ca_Vx7(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f48,plain,
! [X0,X1] :
( rinvP(X0,X1)
| ~ rp(X1,X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f49,plain,
! [X0,X1] :
( rinvR(X0,X1)
| ~ rr(X1,X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f50,plain,
! [X0,X1] :
( rinvS(X0,X1)
| ~ rs(X1,X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f53,plain,
! [X0] :
( ( rs(X0,sK0(X0))
& ca_Ax2(sK0(X0)) )
| ~ cUnsatisfiable(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f38]) ).
fof(f54,plain,
! [X0] :
( ra_Px1(X0,sK1(X0))
| ~ caxcomp(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f40]) ).
fof(f55,plain,
! [X0] :
( ( ! [X1] :
( ca_Vx3(X1)
| ~ rp(X0,X1) )
& ! [X2] :
( ca_Vx5(X2)
| ~ rp(X0,X2) )
& ! [X3] :
( cc(X3)
| ~ rr(X0,X3) )
& rr(X0,sK2(X0))
& rp(X0,sK3(X0))
& ! [X6] :
( ca_Vx4(X6)
| ~ rp(X0,X6) ) )
| ~ ca_Ax2(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X4,sK2(X0)),skolemize(X5,sK3(X0))],[f42]) ).
fof(f56,plain,
! [X0] :
( rr(X0,sK4(X0))
| ~ ca_Vx3(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f43]) ).
fof(f58,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ca(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f59,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ca_Ax2(sK0(X0)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f60,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rs(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f61,plain,
! [X0,X1] :
( ~ ca(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f62,plain,
! [X0] :
( ~ caxcomp(X0)
| ra_Px1(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f63,plain,
! [X0,X1] :
( ~ cc(X0)
| ~ rinvR(X0,X1)
| ca_Vx7(X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f65,plain,
! [X0] :
( ~ ca_Ax2(X0)
| rp(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f68,plain,
! [X2,X0] :
( ~ ca_Ax2(X0)
| ~ rp(X0,X2)
| ca_Vx5(X2) ),
inference(cnf_transformation,[],[f55]) ).
fof(f69,plain,
! [X0,X1] :
( ~ ca_Ax2(X0)
| ~ rp(X0,X1)
| ca_Vx3(X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f70,plain,
! [X0] :
( ~ ca_Vx3(X0)
| rr(X0,sK4(X0)) ),
inference(cnf_transformation,[],[f56]) ).
fof(f72,plain,
! [X0,X1] :
( ~ ca_Vx5(X0)
| ~ rr(X0,X1)
| cc(X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f73,plain,
! [X0,X1] :
( ~ ca_Vx6(X0)
| ~ rinvS(X0,X1)
| caxcomp(X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f74,plain,
! [X0,X1] :
( ~ ca_Vx7(X0)
| ~ rinvP(X0,X1)
| ca_Vx6(X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f75,plain,
! [X0,X1] :
( ~ rp(X1,X0)
| rinvP(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f76,plain,
! [X0,X1] :
( ~ rr(X1,X0)
| rinvR(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f77,plain,
! [X0,X1] :
( ~ rs(X1,X0)
| rinvS(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f79,plain,
cUnsatisfiable(i2003_11_14_17_21_33997),
inference(cnf_transformation,[],[f18]) ).
fof(f80,plain,
ca(i2003_11_14_17_21_33997),
inference(resolution,[],[f58,f79]) ).
fof(f81,plain,
ca_Ax2(sK0(i2003_11_14_17_21_33997)),
inference(resolution,[],[f59,f79]) ).
fof(f82,plain,
! [X0] : ~ ra_Px1(i2003_11_14_17_21_33997,X0),
inference(resolution,[],[f61,f80]) ).
fof(f83,plain,
rs(i2003_11_14_17_21_33997,sK0(i2003_11_14_17_21_33997)),
inference(resolution,[],[f60,f79]) ).
fof(f84,plain,
rp(sK0(i2003_11_14_17_21_33997),sK3(sK0(i2003_11_14_17_21_33997))),
inference(resolution,[],[f65,f81]) ).
fof(f86,plain,
rinvS(sK0(i2003_11_14_17_21_33997),i2003_11_14_17_21_33997),
inference(resolution,[],[f77,f83]) ).
fof(f88,plain,
rinvP(sK3(sK0(i2003_11_14_17_21_33997)),sK0(i2003_11_14_17_21_33997)),
inference(resolution,[],[f84,f75]) ).
fof(f91,plain,
! [X0] :
( ~ rp(sK0(i2003_11_14_17_21_33997),X0)
| ca_Vx5(X0) ),
inference(resolution,[],[f68,f81]) ).
fof(f93,plain,
! [X0] :
( ~ rp(sK0(i2003_11_14_17_21_33997),X0)
| ca_Vx3(X0) ),
inference(resolution,[],[f69,f81]) ).
fof(f97,plain,
ca_Vx5(sK3(sK0(i2003_11_14_17_21_33997))),
inference(resolution,[],[f91,f84]) ).
fof(f99,plain,
! [X0] :
( ~ rr(sK3(sK0(i2003_11_14_17_21_33997)),X0)
| cc(X0) ),
inference(resolution,[],[f97,f72]) ).
fof(f100,plain,
ca_Vx3(sK3(sK0(i2003_11_14_17_21_33997))),
inference(resolution,[],[f93,f84]) ).
fof(f101,plain,
rr(sK3(sK0(i2003_11_14_17_21_33997)),sK4(sK3(sK0(i2003_11_14_17_21_33997)))),
inference(resolution,[],[f100,f70]) ).
fof(f107,plain,
cc(sK4(sK3(sK0(i2003_11_14_17_21_33997)))),
inference(resolution,[],[f101,f99]) ).
fof(f108,plain,
rinvR(sK4(sK3(sK0(i2003_11_14_17_21_33997))),sK3(sK0(i2003_11_14_17_21_33997))),
inference(resolution,[],[f101,f76]) ).
fof(f109,plain,
! [X0] :
( ~ rinvR(sK4(sK3(sK0(i2003_11_14_17_21_33997))),X0)
| ca_Vx7(X0) ),
inference(resolution,[],[f107,f63]) ).
fof(f118,plain,
ca_Vx7(sK3(sK0(i2003_11_14_17_21_33997))),
inference(resolution,[],[f109,f108]) ).
fof(f119,plain,
! [X0] :
( ~ rinvP(sK3(sK0(i2003_11_14_17_21_33997)),X0)
| ca_Vx6(X0) ),
inference(resolution,[],[f118,f74]) ).
fof(f120,plain,
ca_Vx6(sK0(i2003_11_14_17_21_33997)),
inference(resolution,[],[f119,f88]) ).
fof(f121,plain,
! [X0] :
( ~ rinvS(sK0(i2003_11_14_17_21_33997),X0)
| caxcomp(X0) ),
inference(resolution,[],[f120,f73]) ).
fof(f129,plain,
caxcomp(i2003_11_14_17_21_33997),
inference(resolution,[],[f121,f86]) ).
fof(f135,plain,
ra_Px1(i2003_11_14_17_21_33997,sK1(i2003_11_14_17_21_33997)),
inference(resolution,[],[f129,f62]) ).
fof(f136,plain,
$false,
inference(forward_subsumption_resolution,[],[f135,f82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS116+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n008.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 13:26:24 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 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
% 0.18/0.48 % (1224905)Will run a generic schedule for satisfiability detection.
% 0.18/0.48 % (1224910)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2404016407_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.48 % TRYING [1]
% 0.18/0.48 % TRYING [2]
% 0.18/0.48 % TRYING [3]
% 0.18/0.48 % TRYING [4]
% 0.18/0.48 % TRYING [5]
% 0.18/0.48 % (1224911)% WARNING: option uhcvi not known.
% 0.18/0.48 % TRYING [6]
% 0.18/0.48 % TRYING [7]
% 0.18/0.48 % TRYING [8]
% 0.18/0.48 % (1224915)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3199185872:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.48 % (1224911)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=203595732:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.48 % (1224912)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=386562545:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.48 % (1224913)dis+10_1_sil=32000:sp=arity:random_seed=1752967487:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.48 % (1224916)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=673579291:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.48 % (1224914)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1072814419:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.48 % TRYING [9]
% 0.18/0.48 % (1224915) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1224905-1224915"...
% 0.18/0.48 % (1224913) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1224905-1224913"...
% 0.18/0.48 % TRYING [10]
% 0.18/0.48 % (1224915)...printing done.
% 0.18/0.48 % (1224913)...printing done.
% 0.18/0.48 % (1224915)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48 % (1224915)------------------------------
% 0.18/0.48 % (1224915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.48 % (1224915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.48 % (1224915)CaDiCaL version: 2.1.3
% 0.18/0.48 % (1224915)Termination reason: Refutation
% 0.18/0.48 % (1224915)Time elapsed: 0.003 s
% 0.18/0.48 % (1224915)Peak memory usage: 11 MB
% 0.18/0.48 % (1224915)Instructions burned: 4 (million)
% 0.18/0.48 % (1224905)Success in time 0.045 s
% 0.18/0.48 % Vampire exiting
%------------------------------------------------------------------------------