%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE039+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 11:40:43 AM UTC 2026
% Result : Theorem 2.90s 1.02s
% Output : Refutation 2.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 16
% Syntax : Number of formulae : 130 ( 84 unt; 4 def)
% Number of atoms : 181 ( 78 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 100 ( 49 ~; 44 |; 3 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 110 ( 0 sgn 109 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_associativity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_idempotence) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',left_distributivity) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',order) ).
fof(f13,axiom,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_unfold_right) ).
fof(f14,axiom,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_unfold_left) ).
fof(f15,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X1),X2),X1)
=> leq(multiplication(star(X0),X2),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_induction_left) ).
fof(f17,conjecture,
! [X0] :
( leq(star(star(X0)),star(X0))
& leq(star(X0),star(star(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0] :
( leq(star(star(X0)),star(X0))
& leq(star(X0),star(star(X0))) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1,X2] :
( leq(multiplication(star(X0),X2),X1)
| ~ leq(addition(multiplication(X0,X1),X2),X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f21,plain,
? [X0] :
( ~ leq(star(star(X0)),star(X0))
| ~ leq(star(X0),star(star(X0))) ),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f23,plain,
( ~ leq(star(star(sK0)),star(sK0))
| ~ leq(star(sK0),star(star(sK0))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f21]) ).
fof(f24,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f25,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f27,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f29,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f30,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f31,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f32,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f35,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f36,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f37,plain,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f38,plain,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X1),X2),X1)
| leq(multiplication(star(X0),X2),X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f41,plain,
( ~ leq(star(star(sK0)),star(sK0))
| ~ leq(star(sK0),star(star(sK0))) ),
inference(cnf_transformation,[],[f23]) ).
fof(f42,definition,
sF1 = star(sK0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f43,plain,
star(sK0) = sF1,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF2 = star(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f45,plain,
star(sF1) = sF2,
inference(reorient_equations,[],[f44]) ).
fof(f46,plain,
( ~ leq(sF2,sF1)
| ~ leq(sF1,sF2) ),
inference(definition_folding,[],[f41,f45,f43,f43,f43,f45,f43]) ).
fof(f48,definition,
( spl3_1
<=> leq(sF1,sF2) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f50,plain,
( ~ leq(sF1,sF2)
| spl3_1 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f52,definition,
( spl3_2
<=> leq(sF2,sF1) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f53,plain,
( leq(sF2,sF1)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f54,plain,
( ~ leq(sF2,sF1)
| spl3_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f55,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f46,f52,f48]) ).
fof(f65,plain,
! [X0] :
( X0 != X0
| leq(X0,X0) ),
inference(superposition,[],[f36,f27]) ).
fof(f70,plain,
! [X0] : leq(X0,X0),
inference(trivial_inequality_removal,[],[f65]) ).
fof(f71,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(resolution,[],[f37,f35]) ).
fof(f74,plain,
leq(addition(one,multiplication(sK0,sF1)),sF1),
inference(superposition,[],[f37,f43]) ).
fof(f77,plain,
! [X0] : star(X0) = addition(star(X0),addition(one,multiplication(X0,star(X0)))),
inference(forward_demodulation,[],[f71,f24]) ).
fof(f83,plain,
leq(addition(one,multiplication(sF2,sF1)),sF2),
inference(superposition,[],[f38,f45]) ).
fof(f88,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f25,f27]) ).
fof(f90,plain,
! [X2,X0,X1] : addition(addition(X0,X1),X2) = addition(X1,addition(X0,X2)),
inference(superposition,[],[f25,f24]) ).
fof(f98,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X1,addition(X0,X1))),
inference(superposition,[],[f27,f25]) ).
fof(f101,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f24,f25]) ).
fof(f135,plain,
! [X0,X1] : leq(addition(one,addition(multiplication(star(addition(X0,X1)),X0),multiplication(star(addition(X0,X1)),X1))),star(addition(X0,X1))),
inference(superposition,[],[f38,f31]) ).
fof(f201,plain,
sF1 = addition(addition(one,multiplication(sK0,sF1)),sF1),
inference(resolution,[],[f74,f35]) ).
fof(f202,plain,
sF1 = addition(sF1,addition(one,multiplication(sK0,sF1))),
inference(forward_demodulation,[],[f201,f24]) ).
fof(f211,plain,
! [X0,X1] :
( leq(multiplication(star(X0),multiplication(X0,X1)),X1)
| ~ leq(multiplication(X0,X1),X1) ),
inference(superposition,[],[f39,f27]) ).
fof(f213,plain,
! [X2,X0,X1] :
( ~ leq(addition(X0,multiplication(X1,X2)),X2)
| leq(multiplication(star(X1),X0),X2) ),
inference(superposition,[],[f39,f24]) ).
fof(f240,plain,
sF2 = addition(addition(one,multiplication(sF2,sF1)),sF2),
inference(resolution,[],[f83,f35]) ).
fof(f241,plain,
sF2 = addition(sF2,addition(one,multiplication(sF2,sF1))),
inference(forward_demodulation,[],[f240,f24]) ).
fof(f279,plain,
! [X0,X1] :
( addition(X0,X1) != addition(X0,X1)
| leq(X0,addition(X0,X1)) ),
inference(superposition,[],[f36,f88]) ).
fof(f284,plain,
! [X0,X1] : leq(X0,addition(X0,X1)),
inference(trivial_inequality_removal,[],[f279]) ).
fof(f372,plain,
! [X2,X3,X0,X1] : addition(addition(X0,addition(X1,X2)),X3) = addition(X2,addition(addition(X0,X1),X3)),
inference(superposition,[],[f90,f25]) ).
fof(f382,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(superposition,[],[f25,f90]) ).
fof(f408,plain,
! [X2,X3,X0,X1] : addition(addition(X0,addition(X1,X2)),X3) = addition(X2,addition(X0,addition(X1,X3))),
inference(forward_demodulation,[],[f372,f25]) ).
fof(f417,plain,
! [X2,X3,X0,X1] : addition(X0,addition(addition(X1,X2),X3)) = addition(X2,addition(X0,addition(X1,X3))),
inference(forward_demodulation,[],[f408,f25]) ).
fof(f423,plain,
! [X2,X3,X0,X1] : addition(X0,addition(X1,addition(X2,X3))) = addition(X2,addition(X0,addition(X1,X3))),
inference(forward_demodulation,[],[f417,f25]) ).
fof(f574,plain,
! [X2,X0,X1] : leq(X1,addition(X0,addition(X1,X2))),
inference(superposition,[],[f284,f101]) ).
fof(f787,plain,
! [X0] : leq(one,star(X0)),
inference(superposition,[],[f574,f77]) ).
fof(f840,plain,
leq(one,sF1),
inference(superposition,[],[f787,f43]) ).
fof(f841,plain,
leq(one,sF2),
inference(superposition,[],[f787,f45]) ).
fof(f898,plain,
sF1 = addition(one,sF1),
inference(resolution,[],[f840,f35]) ).
fof(f942,plain,
sF2 = addition(one,sF2),
inference(resolution,[],[f841,f35]) ).
fof(f1043,plain,
! [X0] : addition(sF1,X0) = addition(one,addition(sF1,X0)),
inference(superposition,[],[f25,f898]) ).
fof(f1044,plain,
! [X0] : multiplication(X0,sF1) = addition(multiplication(X0,one),multiplication(X0,sF1)),
inference(superposition,[],[f31,f898]) ).
fof(f1052,plain,
! [X0] : addition(one,addition(sF1,X0)) = addition(X0,sF1),
inference(superposition,[],[f101,f898]) ).
fof(f1085,plain,
! [X0] : multiplication(X0,sF1) = addition(X0,multiplication(X0,sF1)),
inference(forward_demodulation,[],[f1044,f29]) ).
fof(f1241,plain,
! [X0] : addition(sF2,X0) = addition(one,addition(sF2,X0)),
inference(superposition,[],[f25,f942]) ).
fof(f1243,plain,
! [X0] : multiplication(sF2,X0) = addition(multiplication(one,X0),multiplication(sF2,X0)),
inference(superposition,[],[f32,f942]) ).
fof(f1258,plain,
! [X0] : leq(one,addition(X0,sF2)),
inference(superposition,[],[f574,f942]) ).
fof(f1284,plain,
! [X0] : multiplication(sF2,X0) = addition(X0,multiplication(sF2,X0)),
inference(forward_demodulation,[],[f1243,f30]) ).
fof(f1449,plain,
! [X0] : addition(X0,sF2) = addition(one,addition(X0,sF2)),
inference(resolution,[],[f1258,f35]) ).
fof(f1762,plain,
leq(addition(one,addition(multiplication(star(sF1),one),multiplication(star(sF1),sF1))),star(sF1)),
inference(superposition,[],[f135,f898]) ).
fof(f1769,plain,
leq(addition(one,addition(multiplication(sF2,one),multiplication(sF2,sF1))),sF2),
inference(forward_demodulation,[],[f1762,f45]) ).
fof(f1792,plain,
leq(addition(one,addition(sF2,multiplication(sF2,sF1))),sF2),
inference(forward_demodulation,[],[f1769,f29]) ).
fof(f1809,plain,
leq(addition(sF2,multiplication(sF2,sF1)),sF2),
inference(forward_demodulation,[],[f1792,f1241]) ).
fof(f1817,plain,
leq(multiplication(sF2,sF1),sF2),
inference(forward_demodulation,[],[f1809,f1085]) ).
fof(f2085,plain,
sF2 = addition(multiplication(sF2,sF1),sF2),
inference(resolution,[],[f1817,f35]) ).
fof(f2086,plain,
sF2 = addition(sF2,multiplication(sF2,sF1)),
inference(forward_demodulation,[],[f2085,f24]) ).
fof(f2087,plain,
sF2 = multiplication(sF2,sF1),
inference(forward_demodulation,[],[f2086,f1085]) ).
fof(f3027,plain,
sF1 = addition(sF1,addition(addition(one,multiplication(sK0,sF1)),sF1)),
inference(superposition,[],[f98,f202]) ).
fof(f3053,plain,
sF1 = addition(sF1,addition(sF1,addition(one,multiplication(sK0,sF1)))),
inference(forward_demodulation,[],[f3027,f101]) ).
fof(f3078,plain,
sF1 = addition(one,addition(sF1,addition(sF1,multiplication(sK0,sF1)))),
inference(forward_demodulation,[],[f3053,f423]) ).
fof(f3094,plain,
sF1 = addition(sF1,addition(sF1,multiplication(sK0,sF1))),
inference(forward_demodulation,[],[f3078,f1043]) ).
fof(f3117,plain,
sF1 = addition(sF1,multiplication(sK0,sF1)),
inference(forward_demodulation,[],[f3094,f88]) ).
fof(f4514,plain,
( ~ leq(sF1,sF1)
| leq(multiplication(star(sK0),sF1),sF1) ),
inference(superposition,[],[f213,f3117]) ).
fof(f4554,plain,
leq(multiplication(star(sK0),sF1),sF1),
inference(forward_subsumption_resolution,[],[f4514,f70]) ).
fof(f4564,plain,
leq(multiplication(sF1,sF1),sF1),
inference(forward_demodulation,[],[f4554,f43]) ).
fof(f4678,plain,
sF1 = addition(multiplication(sF1,sF1),sF1),
inference(resolution,[],[f4564,f35]) ).
fof(f4679,plain,
sF1 = addition(one,addition(sF1,multiplication(sF1,sF1))),
inference(forward_demodulation,[],[f4678,f1052]) ).
fof(f4680,plain,
sF1 = addition(sF1,multiplication(sF1,sF1)),
inference(forward_demodulation,[],[f4679,f1043]) ).
fof(f4681,plain,
sF1 = multiplication(sF1,sF1),
inference(forward_demodulation,[],[f4680,f1085]) ).
fof(f4716,plain,
( leq(multiplication(star(sF1),sF1),sF1)
| ~ leq(sF1,sF1) ),
inference(superposition,[],[f211,f4681]) ).
fof(f4738,plain,
leq(multiplication(star(sF1),sF1),sF1),
inference(forward_subsumption_resolution,[],[f4716,f70]) ).
fof(f4747,plain,
leq(multiplication(sF2,sF1),sF1),
inference(forward_demodulation,[],[f4738,f45]) ).
fof(f4750,plain,
leq(sF2,sF1),
inference(forward_demodulation,[],[f4747,f2087]) ).
fof(f4751,plain,
( $false
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f4750,f54]) ).
fof(f4752,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f4751]) ).
fof(f4753,plain,
( sF1 = addition(sF2,sF1)
| ~ spl3_2 ),
inference(resolution,[],[f53,f35]) ).
fof(f4754,plain,
( sF1 = addition(one,addition(sF1,sF2))
| ~ spl3_2 ),
inference(forward_demodulation,[],[f4753,f1052]) ).
fof(f4755,plain,
( sF1 = addition(sF1,sF2)
| ~ spl3_2 ),
inference(forward_demodulation,[],[f4754,f1449]) ).
fof(f4759,plain,
( ! [X0] : addition(sF1,X0) = addition(sF1,addition(sF2,X0))
| ~ spl3_2 ),
inference(superposition,[],[f25,f4755]) ).
fof(f4762,plain,
( sF1 != sF2
| leq(sF1,sF2)
| ~ spl3_2 ),
inference(superposition,[],[f36,f4755]) ).
fof(f4798,plain,
( sF1 != sF2
| spl3_1
| ~ spl3_2 ),
inference(forward_subsumption_resolution,[],[f4762,f50]) ).
fof(f4810,plain,
( addition(sF1,sF2) = addition(sF1,addition(one,multiplication(sF2,sF1)))
| ~ spl3_2 ),
inference(superposition,[],[f4759,f241]) ).
fof(f4893,plain,
( addition(sF1,sF2) = addition(one,addition(sF1,multiplication(sF2,sF1)))
| ~ spl3_2 ),
inference(forward_demodulation,[],[f4810,f382]) ).
fof(f4916,plain,
( addition(sF1,sF2) = addition(sF1,multiplication(sF2,sF1))
| ~ spl3_2 ),
inference(forward_demodulation,[],[f4893,f1043]) ).
fof(f4931,plain,
( multiplication(sF2,sF1) = addition(sF1,sF2)
| ~ spl3_2 ),
inference(forward_demodulation,[],[f4916,f1284]) ).
fof(f4937,plain,
( sF1 = multiplication(sF2,sF1)
| ~ spl3_2 ),
inference(forward_demodulation,[],[f4931,f4755]) ).
fof(f5152,plain,
( sF2 = addition(sF2,addition(one,sF1))
| ~ spl3_2 ),
inference(superposition,[],[f241,f4937]) ).
fof(f5200,plain,
( sF2 = addition(sF1,addition(sF2,one))
| ~ spl3_2 ),
inference(forward_demodulation,[],[f5152,f101]) ).
fof(f5209,plain,
( sF2 = addition(one,addition(sF1,sF2))
| ~ spl3_2 ),
inference(forward_demodulation,[],[f5200,f101]) ).
fof(f5211,plain,
( sF2 = addition(sF1,sF2)
| ~ spl3_2 ),
inference(forward_demodulation,[],[f5209,f1449]) ).
fof(f5213,plain,
( sF1 = sF2
| ~ spl3_2 ),
inference(forward_demodulation,[],[f5211,f4755]) ).
fof(f5214,plain,
( $false
| spl3_1
| ~ spl3_2 ),
inference(forward_subsumption_resolution,[],[f5213,f4798]) ).
fof(f5215,plain,
( spl3_1
| ~ spl3_2 ),
inference(avatar_contradiction_clause,[],[f5214]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f55]) ).
cnf(s26,plain,
spl3_2,
inference(sat_conversion,[],[f4752]) ).
cnf(s32,plain,
( spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f5215]) ).
cnf(s33,plain,
spl3_1,
inference(rat,[],[s32,s26]) ).
cnf(s39,plain,
$false,
inference(rat,[],[s1,s26,s33]) ).
fof(f5216,plain,
$false,
inference(avatar_sat_refutation,[],[s39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE039+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 13:10:17 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.90/1.02 % (2625189)Will run a generic schedule for satisfiability detection.
% 2.90/1.02 % (2625194)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3006340514_2999 on theBenchmark for (2999ds/0Mi)
% 2.90/1.02 % TRYING [1]
% 2.90/1.02 % TRYING [2]
% 2.90/1.02 % TRYING [3]
% 2.90/1.02 % TRYING [4]
% 2.90/1.02 % (2625195)% WARNING: option uhcvi not known.
% 2.90/1.02 % (2625200)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4139163114:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.90/1.02 % (2625196)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1551688524:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.90/1.02 % (2625197)dis+10_1_sil=32000:sp=arity:random_seed=687440704:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.90/1.02 % (2625198)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3531689078:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.90/1.02 % (2625199)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1533416204:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.90/1.02 % (2625195)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=369418264:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.90/1.02 % TRYING [5]
% 2.90/1.02 % TRYING [6]
% 2.90/1.02 % (2625197)Instruction limit reached!
% 2.90/1.02 % (2625197)------------------------------
% 2.90/1.02 % (2625197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.90/1.02 % (2625197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/1.02 % (2625197)CaDiCaL version: 2.1.3
% 2.90/1.02 % (2625197)Termination reason: Instruction limit
% 2.90/1.02 % (2625197)Termination phase: Saturation
% 2.90/1.02 % (2625197)Time elapsed: 0.064 s
% 2.90/1.02 % (2625197)Peak memory usage: 12 MB
% 2.90/1.02 % (2625197)Instructions burned: 104 (million)
% 2.90/1.02 % (2625198)Instruction limit reached!
% 2.90/1.02 % (2625198)------------------------------
% 2.90/1.02 % (2625198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.90/1.02 % (2625198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/1.02 % (2625198)CaDiCaL version: 2.1.3
% 2.90/1.02 % (2625198)Termination reason: Instruction limit
% 2.90/1.02 % (2625198)Termination phase: Saturation
% 2.90/1.02 % (2625198)Time elapsed: 0.074 s
% 2.90/1.02 % (2625198)Peak memory usage: 13 MB
% 2.90/1.02 % (2625198)Instructions burned: 117 (million)
% 2.90/1.02 % (2625199)Instruction limit reached!
% 2.90/1.02 % (2625199)------------------------------
% 2.90/1.02 % (2625199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.90/1.02 % (2625199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/1.02 % (2625199)CaDiCaL version: 2.1.3
% 2.90/1.02 % (2625199)Termination reason: Instruction limit
% 2.90/1.02 % (2625199)Termination phase: Saturation
% 2.90/1.02 % (2625199)Time elapsed: 0.076 s
% 2.90/1.02 % (2625199)Peak memory usage: 13 MB
% 2.90/1.02 % (2625199)Instructions burned: 132 (million)
% 2.90/1.02 % (2625208)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3580638965:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.90/1.02 % TRYING [1]
% 2.90/1.02 % TRYING [2]
% 2.90/1.02 % TRYING [3]
% 2.90/1.02 % (2625209)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3594153910:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.90/1.02 % TRYING [4]
% 2.90/1.02 % (2625210)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2109089718:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.90/1.02 % (2625200)Instruction limit reached!
% 2.90/1.02 % (2625200)------------------------------
% 2.90/1.02 % (2625200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.90/1.02 % (2625200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/1.02 % (2625200)CaDiCaL version: 2.1.3
% 2.90/1.02 % (2625200)Termination reason: Instruction limit
% 2.90/1.02 % (2625200)Termination phase: Saturation
% 2.90/1.02 % (2625200)Time elapsed: 0.099 s
% 2.90/1.02 % (2625200)Peak memory usage: 12 MB
% 2.90/1.02 % (2625200)Instructions burned: 159 (million)
% 2.90/1.02 % TRYING [5]
% 2.90/1.02 % (2625214)ott-21_1_sil=16000:fs=off:random_seed=3391514924:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.90/1.02 % TRYING [7]
% 2.90/1.02 % (2625209)Instruction limit reached!
% 2.90/1.02 % (2625209)------------------------------
% 2.90/1.02 % (2625209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.90/1.02 % (2625209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/1.02 % (2625209)CaDiCaL version: 2.1.3
% 2.90/1.02 % (2625209)Termination reason: Instruction limit
% 2.90/1.02 % (2625209)Termination phase: Saturation
% 2.90/1.02 % (2625209)Time elapsed: 0.090 s
% 2.90/1.02 % (2625209)Peak memory usage: 13 MB
% 2.90/1.02 % (2625209)Instructions burned: 132 (million)
% 2.90/1.02 % TRYING [6]
% 2.90/1.02 % (2625214)Instruction limit reached!
% 2.90/1.02 % (2625214)------------------------------
% 2.90/1.02 % (2625214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.90/1.02 % (2625214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/1.02 % (2625214)CaDiCaL version: 2.1.3
% 2.90/1.02 % (2625214)Termination reason: Instruction limit
% 2.90/1.02 % (2625214)Termination phase: Saturation
% 2.90/1.02 % (2625214)Time elapsed: 0.074 s
% 2.90/1.02 % (2625214)Peak memory usage: 12 MB
% 2.90/1.02 % (2625214)Instructions burned: 183 (million)
% 2.90/1.02 % (2625216)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2336882909:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.90/1.02 % (2625217)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2632767598:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.90/1.02 % TRYING [1]
% 2.90/1.02 % TRYING [2]
% 2.90/1.02 % TRYING [3]
% 2.90/1.02 % TRYING [4]
% 2.90/1.02 % TRYING [5]
% 2.90/1.02 % TRYING [8]
% 2.90/1.02 % TRYING [6]
% 2.90/1.02 % (2625208)Instruction limit reached!
% 2.90/1.02 % (2625208)------------------------------
% 2.90/1.02 % (2625208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.90/1.02 % (2625208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/1.02 % (2625208)CaDiCaL version: 2.1.3
% 2.90/1.02 % (2625208)Termination reason: Instruction limit
% 2.90/1.02 % (2625208)Termination phase: Finite model building SAT solving
% 2.90/1.02 % (2625208)Time elapsed: 0.336 s
% 2.90/1.02 % (2625208)Peak memory usage: 31 MB
% 2.90/1.02 % (2625208)Instructions burned: 714 (million)
% 2.90/1.02 % (2625220)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1339546939:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 2.90/1.02 % (2625210)Instruction limit reached!
% 2.90/1.02 % (2625210)------------------------------
% 2.90/1.02 % (2625210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.90/1.02 % (2625210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/1.02 % (2625210)CaDiCaL version: 2.1.3
% 2.90/1.02 % (2625210)Termination reason: Instruction limit
% 2.90/1.02 % (2625210)Termination phase: Saturation
% 2.90/1.02 % (2625210)Time elapsed: 0.353 s
% 2.90/1.02 % (2625210)Peak memory usage: 18 MB
% 2.90/1.02 % (2625210)Instructions burned: 685 (million)
% 2.90/1.02 % (2625222)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4179650971:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 2.90/1.02 % (2625216)Instruction limit reached!
% 2.90/1.02 % (2625216)------------------------------
% 2.90/1.02 % (2625216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.90/1.02 % (2625216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/1.02 % (2625216)CaDiCaL version: 2.1.3
% 2.90/1.02 % (2625216)Termination reason: Instruction limit
% 2.90/1.02 % (2625216)Termination phase: Saturation
% 2.90/1.02 % (2625216)Time elapsed: 0.301 s
% 2.90/1.02 % (2625216)Peak memory usage: 14 MB
% 2.90/1.02 % (2625216)Instructions burned: 477 (million)
% 2.90/1.02 % (2625224)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1794882633:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 2.90/1.02 % (2625217)Instruction limit reached!
% 2.90/1.02 % (2625217)------------------------------
% 2.90/1.02 % (2625217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.90/1.02 % (2625217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/1.02 % (2625217)CaDiCaL version: 2.1.3
% 2.90/1.02 % (2625217)Termination reason: Instruction limit
% 2.90/1.02 % (2625217)Termination phase: Finite model building SAT solving
% 2.90/1.02 % (2625217)Time elapsed: 0.336 s
% 2.90/1.02 % (2625217)Peak memory usage: 25 MB
% 2.90/1.02 % (2625217)Instructions burned: 866 (million)
% 2.90/1.02 % (2625220) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2625189-2625220"...
% 2.90/1.02 % (2625220)...printing done.
% 2.90/1.02 % (2625220)Refutation found. Thanks to Tanya!
% 2.90/1.02 % SZS status Theorem for theBenchmark
% 2.90/1.02 % SZS output start Proof for theBenchmark
% See solution above
% 2.90/1.02 % (2625220)------------------------------
% 2.90/1.02 % (2625220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.90/1.02 % (2625220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/1.02 % (2625220)CaDiCaL version: 2.1.3
% 2.90/1.02 % (2625220)Termination reason: Refutation
% 2.90/1.02 % (2625220)Time elapsed: 0.123 s
% 2.90/1.02 % (2625220)Peak memory usage: 15 MB
% 2.90/1.02 % (2625220)Instructions burned: 211 (million)
% 2.90/1.02 % (2625189)Success in time 0.607 s
% 2.90/1.02 % Vampire exiting
%------------------------------------------------------------------------------