%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE159+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 11:40:31 AM UTC 2026
% Result : Theorem 50.46s 9.56s
% Output : Refutation 59.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 14
% Syntax : Number of formulae : 215 ( 154 unt; 0 def)
% Number of atoms : 278 ( 198 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 130 ( 67 ~; 55 |; 3 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 385 ( 382 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity2) ).
fof(f11,axiom,
! [X0] : addition(one,multiplication(X0,star(X0))) = star(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold1) ).
fof(f12,axiom,
! [X0] : addition(one,multiplication(star(X0),X0)) = star(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold2) ).
fof(f13,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X2),X1),X2)
=> leq(multiplication(star(X0),X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_induction1) ).
fof(f14,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X2,X0),X1),X2)
=> leq(multiplication(X1,star(X0)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_induction2) ).
fof(f18,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
fof(f19,conjecture,
! [X0,X1,X2] :
( leq(multiplication(X0,X1),multiplication(X2,X0))
=> leq(multiplication(X0,star(X1)),multiplication(star(X2),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0,X1,X2] :
( leq(multiplication(X0,X1),multiplication(X2,X0))
=> leq(multiplication(X0,star(X1)),multiplication(star(X2),X0)) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
? [X0,X1,X2] :
( ~ leq(multiplication(X0,star(X1)),multiplication(star(X2),X0))
& leq(multiplication(X0,X1),multiplication(X2,X0)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f23,plain,
! [X0,X1,X2] :
( leq(multiplication(X1,star(X0)),X2)
| ~ leq(addition(multiplication(X2,X0),X1),X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f24,plain,
! [X0,X1,X2] :
( leq(multiplication(star(X0),X1),X2)
| ~ leq(addition(multiplication(X0,X2),X1),X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f25,plain,
( ~ leq(multiplication(sK0,star(sK1)),multiplication(star(sK2),sK0))
& leq(multiplication(sK0,sK1),multiplication(sK2,sK0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f21]) ).
fof(f26,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f27,plain,
leq(multiplication(sK0,sK1),multiplication(sK2,sK0)),
inference(cnf_transformation,[],[f25]) ).
fof(f28,plain,
~ leq(multiplication(sK0,star(sK1)),multiplication(star(sK2),sK0)),
inference(cnf_transformation,[],[f25]) ).
fof(f29,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f26]) ).
fof(f30,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(cnf_transformation,[],[f26]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X2,X0),X1),X2)
| leq(multiplication(X1,star(X0)),X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X2),X1),X2)
| leq(multiplication(star(X0),X1),X2) ),
inference(cnf_transformation,[],[f24]) ).
fof(f34,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f35,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f36,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f38,plain,
! [X0] : star(X0) = addition(one,multiplication(star(X0),X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f39,plain,
! [X0] : star(X0) = addition(one,multiplication(X0,star(X0))),
inference(cnf_transformation,[],[f11]) ).
fof(f40,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f41,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f42,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f46,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f47,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f48,plain,
multiplication(sK2,sK0) = addition(multiplication(sK0,sK1),multiplication(sK2,sK0)),
inference(resolution,[],[f29,f27]) ).
fof(f56,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f35,f47]) ).
fof(f65,plain,
! [X2,X3,X0,X1] : multiplication(addition(X3,multiplication(X0,X1)),X2) = addition(multiplication(X3,X2),multiplication(X0,multiplication(X1,X2))),
inference(superposition,[],[f34,f36]) ).
fof(f80,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f34,f46]) ).
fof(f87,plain,
! [X2,X0,X1] : multiplication(addition(one,multiplication(X0,X1)),X2) = addition(X2,multiplication(X0,multiplication(X1,X2))),
inference(superposition,[],[f80,f36]) ).
fof(f90,plain,
! [X0,X1] : multiplication(X0,addition(X1,multiplication(X0,X1))) = multiplication(addition(one,X0),multiplication(X0,X1)),
inference(superposition,[],[f35,f80]) ).
fof(f91,plain,
! [X0,X1] : multiplication(addition(one,X0),multiplication(X0,X1)) = multiplication(X0,multiplication(addition(one,X0),X1)),
inference(forward_demodulation,[],[f90,f80]) ).
fof(f101,plain,
! [X2,X0,X1] : addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X2,X1)),
inference(superposition,[],[f35,f42]) ).
fof(f108,plain,
! [X2,X0,X1] :
( ~ leq(multiplication(X0,addition(X1,X2)),X0)
| leq(multiplication(multiplication(X0,X2),star(X1)),X0) ),
inference(superposition,[],[f32,f35]) ).
fof(f112,plain,
! [X2,X0,X1] :
( ~ leq(addition(X0,multiplication(X1,X2)),X1)
| leq(multiplication(X0,star(X2)),X1) ),
inference(superposition,[],[f32,f42]) ).
fof(f115,plain,
! [X2,X0,X1] :
( leq(multiplication(X0,multiplication(X2,star(X1))),X0)
| ~ leq(multiplication(X0,addition(X1,X2)),X0) ),
inference(forward_demodulation,[],[f108,f36]) ).
fof(f126,plain,
! [X0,X1] : star(multiplication(X0,X1)) = addition(one,multiplication(X0,multiplication(X1,star(multiplication(X0,X1))))),
inference(superposition,[],[f39,f36]) ).
fof(f155,plain,
! [X0] : addition(multiplication(sK2,sK0),X0) = addition(multiplication(sK0,sK1),addition(multiplication(sK2,sK0),X0)),
inference(superposition,[],[f41,f48]) ).
fof(f156,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f41,f35]) ).
fof(f157,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X2),addition(multiplication(X1,X2),X3)) = addition(multiplication(addition(X0,X1),X2),X3),
inference(superposition,[],[f41,f34]) ).
fof(f158,plain,
! [X2,X0,X1] : addition(X1,addition(multiplication(X0,X1),X2)) = addition(multiplication(addition(one,X0),X1),X2),
inference(superposition,[],[f41,f80]) ).
fof(f159,plain,
! [X0,X1] : addition(one,addition(multiplication(X0,star(X0)),X1)) = addition(star(X0),X1),
inference(superposition,[],[f41,f39]) ).
fof(f167,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f42,f41]) ).
fof(f174,plain,
! [X0] : multiplication(addition(sK2,X0),sK0) = addition(multiplication(sK0,sK1),multiplication(addition(sK2,X0),sK0)),
inference(superposition,[],[f155,f34]) ).
fof(f185,plain,
! [X2,X0,X1] :
( ~ leq(addition(X0,multiplication(X1,X2)),X2)
| leq(multiplication(star(X1),X0),X2) ),
inference(superposition,[],[f33,f42]) ).
fof(f189,plain,
! [X2,X0,X1] :
( leq(multiplication(star(X0),multiplication(X1,X2)),X2)
| ~ leq(multiplication(addition(X0,X1),X2),X2) ),
inference(superposition,[],[f33,f34]) ).
fof(f211,plain,
! [X2,X0,X1] : addition(X0,addition(multiplication(X0,X1),X2)) = addition(multiplication(X0,addition(one,X1)),X2),
inference(superposition,[],[f156,f47]) ).
fof(f214,plain,
! [X2,X0,X1] : addition(multiplication(X0,addition(X1,one)),X2) = addition(multiplication(X0,X1),addition(X0,X2)),
inference(superposition,[],[f156,f47]) ).
fof(f224,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,addition(X3,X2)),multiplication(X1,X2)) = addition(multiplication(X0,X3),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f156,f34]) ).
fof(f247,plain,
! [X2,X0,X1] : addition(multiplication(X0,addition(X1,one)),X2) = addition(X0,addition(X2,multiplication(X0,X1))),
inference(forward_demodulation,[],[f214,f167]) ).
fof(f271,plain,
! [X2,X0,X1] : addition(multiplication(X1,one),multiplication(addition(X1,X2),multiplication(X0,star(X0)))) = addition(multiplication(X1,star(X0)),multiplication(X2,multiplication(X0,star(X0)))),
inference(superposition,[],[f224,f39]) ).
fof(f284,plain,
! [X2,X3,X0,X1] : addition(multiplication(X1,addition(X2,X3)),multiplication(X0,X3)) = addition(multiplication(X1,X2),multiplication(addition(X0,X1),X3)),
inference(superposition,[],[f224,f42]) ).
fof(f308,plain,
! [X2,X0,X1] : addition(multiplication(X0,addition(X1,X1)),multiplication(X2,X1)) = multiplication(addition(X0,addition(X0,X2)),X1),
inference(superposition,[],[f34,f224]) ).
fof(f319,plain,
! [X2,X0,X1] : addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X0,addition(X0,X2)),X1),
inference(forward_demodulation,[],[f308,f40]) ).
fof(f343,plain,
! [X2,X0,X1] : addition(multiplication(X1,one),multiplication(addition(X1,X2),multiplication(X0,star(X0)))) = multiplication(addition(X1,multiplication(X2,X0)),star(X0)),
inference(forward_demodulation,[],[f271,f65]) ).
fof(f347,plain,
! [X2,X0,X1] : multiplication(addition(X0,X2),X1) = multiplication(addition(X0,addition(X0,X2)),X1),
inference(forward_demodulation,[],[f319,f34]) ).
fof(f363,plain,
! [X2,X0,X1] : multiplication(addition(X1,multiplication(X2,X0)),star(X0)) = addition(X1,multiplication(addition(X1,X2),multiplication(X0,star(X0)))),
inference(forward_demodulation,[],[f343,f47]) ).
fof(f381,plain,
! [X0,X1] : addition(star(X0),X1) = addition(one,addition(multiplication(star(X0),X0),X1)),
inference(superposition,[],[f41,f38]) ).
fof(f409,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f41,f40]) ).
fof(f411,plain,
! [X0,X1] :
( leq(multiplication(star(X0),multiplication(X0,X1)),X1)
| ~ leq(multiplication(X0,X1),X1) ),
inference(superposition,[],[f33,f40]) ).
fof(f442,plain,
! [X0] : star(X0) = addition(one,star(X0)),
inference(superposition,[],[f409,f38]) ).
fof(f476,plain,
! [X0] : addition(one,multiplication(star(X0),X0)) = addition(star(X0),multiplication(star(X0),X0)),
inference(superposition,[],[f381,f40]) ).
fof(f495,plain,
! [X0] : addition(one,multiplication(star(X0),X0)) = multiplication(star(X0),addition(one,X0)),
inference(forward_demodulation,[],[f476,f56]) ).
fof(f498,plain,
! [X0] : star(X0) = multiplication(star(X0),addition(one,X0)),
inference(forward_demodulation,[],[f495,f38]) ).
fof(f507,plain,
! [X0] : multiplication(addition(one,X0),X0) = multiplication(X0,addition(one,X0)),
inference(superposition,[],[f80,f56]) ).
fof(f566,plain,
! [X0,X1] : multiplication(addition(X0,multiplication(X0,X1)),star(X1)) = addition(X0,multiplication(X0,multiplication(X1,star(X1)))),
inference(superposition,[],[f363,f40]) ).
fof(f629,plain,
! [X0,X1] : multiplication(addition(X0,multiplication(X0,X1)),star(X1)) = multiplication(X0,addition(one,multiplication(X1,star(X1)))),
inference(forward_demodulation,[],[f566,f56]) ).
fof(f644,plain,
! [X0,X1] : multiplication(X0,star(X1)) = multiplication(addition(X0,multiplication(X0,X1)),star(X1)),
inference(forward_demodulation,[],[f629,f39]) ).
fof(f651,plain,
! [X0,X1] : multiplication(X0,star(X1)) = multiplication(multiplication(X0,addition(one,X1)),star(X1)),
inference(forward_demodulation,[],[f644,f56]) ).
fof(f654,plain,
! [X0,X1] : multiplication(X0,star(X1)) = multiplication(X0,multiplication(addition(one,X1),star(X1))),
inference(forward_demodulation,[],[f651,f36]) ).
fof(f657,plain,
! [X2,X0,X1] :
( leq(multiplication(X0,star(X1)),X2)
| addition(addition(X0,multiplication(X2,X1)),X2) != X2 ),
inference(resolution,[],[f112,f30]) ).
fof(f667,plain,
! [X0,X1] :
( ~ leq(multiplication(addition(one,X0),X1),X0)
| leq(multiplication(X1,star(X1)),X0) ),
inference(superposition,[],[f112,f80]) ).
fof(f685,plain,
! [X2,X0,X1] :
( leq(multiplication(X0,star(X1)),X2)
| addition(X2,addition(X0,multiplication(X2,X1))) != X2 ),
inference(forward_demodulation,[],[f657,f42]) ).
fof(f709,plain,
! [X2,X3,X0,X1] : addition(multiplication(addition(X3,X0),X1),multiplication(X0,X2)) = addition(multiplication(X3,X1),multiplication(X0,addition(X1,X2))),
inference(superposition,[],[f157,f35]) ).
fof(f826,plain,
multiplication(star(sK2),sK0) != addition(multiplication(star(sK2),sK0),addition(sK0,multiplication(multiplication(star(sK2),sK0),sK1))),
inference(resolution,[],[f685,f28]) ).
fof(f834,plain,
multiplication(star(sK2),sK0) != addition(multiplication(multiplication(star(sK2),sK0),addition(sK1,one)),sK0),
inference(forward_demodulation,[],[f826,f247]) ).
fof(f837,plain,
multiplication(star(sK2),sK0) != addition(sK0,multiplication(multiplication(star(sK2),sK0),addition(sK1,one))),
inference(forward_demodulation,[],[f834,f42]) ).
fof(f838,plain,
multiplication(star(sK2),sK0) != addition(sK0,multiplication(star(sK2),multiplication(sK0,addition(sK1,one)))),
inference(forward_demodulation,[],[f837,f36]) ).
fof(f839,plain,
multiplication(star(sK2),sK0) != addition(sK0,multiplication(star(sK2),multiplication(sK0,addition(one,sK1)))),
inference(forward_demodulation,[],[f838,f42]) ).
fof(f851,plain,
! [X0] : addition(one,multiplication(X0,star(X0))) = addition(star(X0),multiplication(X0,star(X0))),
inference(superposition,[],[f159,f40]) ).
fof(f859,plain,
! [X0,X1] : addition(star(X0),multiplication(X1,star(X0))) = addition(one,multiplication(addition(X0,X1),star(X0))),
inference(superposition,[],[f159,f34]) ).
fof(f872,plain,
! [X0,X1] : addition(one,multiplication(addition(X0,X1),star(X0))) = multiplication(addition(one,X1),star(X0)),
inference(forward_demodulation,[],[f859,f80]) ).
fof(f876,plain,
! [X0] : addition(one,multiplication(X0,star(X0))) = multiplication(addition(one,X0),star(X0)),
inference(forward_demodulation,[],[f851,f80]) ).
fof(f881,plain,
! [X0] : star(X0) = multiplication(addition(one,X0),star(X0)),
inference(forward_demodulation,[],[f876,f39]) ).
fof(f904,plain,
! [X0,X1] :
( ~ leq(multiplication(addition(one,X0),X1),X1)
| leq(multiplication(star(X0),X1),X1) ),
inference(superposition,[],[f185,f80]) ).
fof(f1318,plain,
! [X0,X1] :
( ~ leq(multiplication(X0,X1),X1)
| addition(multiplication(star(X0),multiplication(X0,X1)),X1) = X1 ),
inference(resolution,[],[f411,f29]) ).
fof(f1332,plain,
! [X0,X1] :
( addition(X1,multiplication(star(X0),multiplication(X0,X1))) = X1
| ~ leq(multiplication(X0,X1),X1) ),
inference(forward_demodulation,[],[f1318,f42]) ).
fof(f1336,plain,
! [X0,X1] :
( multiplication(addition(one,multiplication(star(X0),X0)),X1) = X1
| ~ leq(multiplication(X0,X1),X1) ),
inference(forward_demodulation,[],[f1332,f87]) ).
fof(f1337,plain,
! [X0,X1] :
( ~ leq(multiplication(X0,X1),X1)
| multiplication(star(X0),X1) = X1 ),
inference(forward_demodulation,[],[f1336,f38]) ).
fof(f1341,plain,
! [X0,X1] :
( multiplication(star(X0),X1) = X1
| addition(multiplication(X0,X1),X1) != X1 ),
inference(resolution,[],[f1337,f30]) ).
fof(f1352,plain,
! [X0,X1] :
( addition(X1,multiplication(X0,X1)) != X1
| multiplication(star(X0),X1) = X1 ),
inference(forward_demodulation,[],[f1341,f42]) ).
fof(f1358,plain,
! [X0,X1] :
( multiplication(addition(one,X0),X1) != X1
| multiplication(star(X0),X1) = X1 ),
inference(forward_demodulation,[],[f1352,f80]) ).
fof(f1375,plain,
! [X0,X1] :
( ~ leq(multiplication(star(X0),X1),multiplication(star(X0),X0))
| leq(multiplication(X1,star(X1)),multiplication(star(X0),X0)) ),
inference(superposition,[],[f667,f38]) ).
fof(f1607,plain,
! [X0] : multiplication(addition(one,X0),addition(one,star(X0))) = addition(addition(one,X0),star(X0)),
inference(superposition,[],[f56,f881]) ).
fof(f1633,plain,
! [X0] : multiplication(addition(one,X0),addition(one,star(X0))) = addition(star(X0),addition(one,X0)),
inference(forward_demodulation,[],[f1607,f42]) ).
fof(f1649,plain,
! [X0] : multiplication(addition(one,X0),addition(one,star(X0))) = addition(X0,addition(star(X0),one)),
inference(forward_demodulation,[],[f1633,f167]) ).
fof(f1658,plain,
! [X0] : multiplication(addition(one,X0),addition(one,star(X0))) = addition(X0,addition(one,star(X0))),
inference(forward_demodulation,[],[f1649,f42]) ).
fof(f1662,plain,
! [X0] : multiplication(addition(one,X0),star(X0)) = addition(X0,star(X0)),
inference(forward_demodulation,[],[f1658,f442]) ).
fof(f1663,plain,
! [X0] : star(X0) = addition(X0,star(X0)),
inference(forward_demodulation,[],[f1662,f881]) ).
fof(f1670,plain,
multiplication(star(sK2),sK0) = addition(multiplication(sK0,sK1),multiplication(star(sK2),sK0)),
inference(superposition,[],[f174,f1663]) ).
fof(f1676,plain,
! [X0] : multiplication(addition(one,star(X0)),star(X0)) = addition(one,multiplication(star(X0),star(X0))),
inference(superposition,[],[f872,f1663]) ).
fof(f1689,plain,
! [X0] : addition(one,multiplication(star(X0),star(X0))) = multiplication(star(X0),addition(one,star(X0))),
inference(forward_demodulation,[],[f1676,f507]) ).
fof(f1692,plain,
! [X0] : multiplication(star(X0),star(X0)) = addition(one,multiplication(star(X0),star(X0))),
inference(forward_demodulation,[],[f1689,f442]) ).
fof(f1694,plain,
! [X2,X0,X1] :
( ~ leq(multiplication(X0,addition(X1,X2)),X0)
| addition(multiplication(X0,multiplication(X2,star(X1))),X0) = X0 ),
inference(resolution,[],[f115,f29]) ).
fof(f1710,plain,
! [X2,X0,X1] :
( addition(X0,multiplication(X0,multiplication(X2,star(X1)))) = X0
| ~ leq(multiplication(X0,addition(X1,X2)),X0) ),
inference(forward_demodulation,[],[f1694,f42]) ).
fof(f1712,plain,
! [X2,X0,X1] :
( ~ leq(multiplication(X0,addition(X1,X2)),X0)
| multiplication(X0,addition(one,multiplication(X2,star(X1)))) = X0 ),
inference(forward_demodulation,[],[f1710,f56]) ).
fof(f1799,plain,
! [X0,X1] :
( ~ leq(multiplication(X1,X0),X1)
| multiplication(X1,addition(one,multiplication(X0,star(X0)))) = X1 ),
inference(superposition,[],[f1712,f40]) ).
fof(f1858,plain,
! [X0,X1] :
( ~ leq(multiplication(X1,X0),X1)
| multiplication(X1,star(X0)) = X1 ),
inference(forward_demodulation,[],[f1799,f39]) ).
fof(f2009,plain,
! [X0,X1] :
( leq(multiplication(star(X0),X1),X1)
| addition(multiplication(addition(one,X0),X1),X1) != X1 ),
inference(resolution,[],[f904,f30]) ).
fof(f2041,plain,
! [X0,X1] :
( addition(X1,multiplication(addition(one,X0),X1)) != X1
| leq(multiplication(star(X0),X1),X1) ),
inference(forward_demodulation,[],[f2009,f42]) ).
fof(f2050,plain,
! [X0,X1] :
( multiplication(addition(one,addition(one,X0)),X1) != X1
| leq(multiplication(star(X0),X1),X1) ),
inference(forward_demodulation,[],[f2041,f80]) ).
fof(f2057,plain,
! [X0,X1] :
( leq(multiplication(star(X0),X1),X1)
| multiplication(addition(one,X0),X1) != X1 ),
inference(forward_demodulation,[],[f2050,f347]) ).
fof(f2332,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = multiplication(X0,addition(X2,X1)),
inference(superposition,[],[f35,f101]) ).
fof(f2432,plain,
! [X2,X0,X1] :
( ~ leq(multiplication(addition(X0,X1),X2),X2)
| addition(multiplication(star(X0),multiplication(X1,X2)),X2) = X2 ),
inference(resolution,[],[f189,f29]) ).
fof(f2448,plain,
! [X2,X0,X1] :
( addition(X2,multiplication(star(X0),multiplication(X1,X2))) = X2
| ~ leq(multiplication(addition(X0,X1),X2),X2) ),
inference(forward_demodulation,[],[f2432,f42]) ).
fof(f2452,plain,
! [X2,X0,X1] :
( ~ leq(multiplication(addition(X0,X1),X2),X2)
| multiplication(addition(one,multiplication(star(X0),X1)),X2) = X2 ),
inference(forward_demodulation,[],[f2448,f87]) ).
fof(f3361,plain,
! [X0] :
( multiplication(one,X0) != X0
| multiplication(star(one),X0) = X0 ),
inference(superposition,[],[f1358,f40]) ).
fof(f3384,plain,
! [X0] :
( star(X0) != star(X0)
| star(X0) = multiplication(star(X0),star(X0)) ),
inference(superposition,[],[f1358,f881]) ).
fof(f3388,plain,
! [X0] : star(X0) = multiplication(star(X0),star(X0)),
inference(trivial_inequality_removal,[],[f3384]) ).
fof(f3400,plain,
! [X0] : multiplication(star(one),X0) = X0,
inference(forward_subsumption_resolution,[],[f3361,f46]) ).
fof(f3425,plain,
! [X0,X1] : multiplication(star(X0),X1) = multiplication(star(X0),multiplication(star(X0),X1)),
inference(superposition,[],[f36,f3388]) ).
fof(f3430,plain,
! [X0,X1] : addition(star(X0),multiplication(X1,star(X0))) = multiplication(addition(one,multiplication(X1,star(X0))),star(X0)),
inference(superposition,[],[f87,f3388]) ).
fof(f3460,plain,
! [X0,X1] : multiplication(addition(one,X1),star(X0)) = multiplication(addition(one,multiplication(X1,star(X0))),star(X0)),
inference(forward_demodulation,[],[f3430,f80]) ).
fof(f3968,plain,
! [X0] : star(multiplication(X0,star(X0))) = multiplication(star(multiplication(X0,star(X0))),star(X0)),
inference(superposition,[],[f498,f39]) ).
fof(f4166,plain,
! [X2,X0,X1] : addition(multiplication(one,X1),multiplication(multiplication(star(X0),X0),addition(X1,X2))) = addition(multiplication(star(X0),X1),multiplication(multiplication(star(X0),X0),X2)),
inference(superposition,[],[f709,f38]) ).
fof(f4170,plain,
! [X2,X0,X1] : addition(multiplication(one,X1),multiplication(star(X0),addition(X1,X2))) = addition(multiplication(star(X0),X1),multiplication(star(X0),X2)),
inference(superposition,[],[f709,f442]) ).
fof(f4392,plain,
! [X2,X0,X1] : multiplication(star(X0),addition(X1,X2)) = addition(multiplication(one,X1),multiplication(star(X0),addition(X1,X2))),
inference(forward_demodulation,[],[f4170,f35]) ).
fof(f4396,plain,
! [X2,X0,X1] : addition(multiplication(one,X1),multiplication(multiplication(star(X0),X0),addition(X1,X2))) = addition(multiplication(star(X0),X1),multiplication(star(X0),multiplication(X0,X2))),
inference(forward_demodulation,[],[f4166,f36]) ).
fof(f4475,plain,
! [X2,X0,X1] : multiplication(star(X0),addition(X1,X2)) = addition(X1,multiplication(star(X0),addition(X1,X2))),
inference(forward_demodulation,[],[f4392,f46]) ).
fof(f4479,plain,
! [X2,X0,X1] : addition(multiplication(one,X1),multiplication(multiplication(star(X0),X0),addition(X1,X2))) = multiplication(star(X0),addition(X1,multiplication(X0,X2))),
inference(forward_demodulation,[],[f4396,f35]) ).
fof(f4536,plain,
! [X2,X0,X1] : multiplication(star(X0),addition(X1,multiplication(X0,X2))) = addition(multiplication(one,X1),multiplication(star(X0),multiplication(X0,addition(X1,X2)))),
inference(forward_demodulation,[],[f4479,f36]) ).
fof(f4565,plain,
! [X2,X0,X1] : multiplication(star(X0),addition(X1,multiplication(X0,X2))) = addition(X1,multiplication(star(X0),multiplication(X0,addition(X1,X2)))),
inference(forward_demodulation,[],[f4536,f46]) ).
fof(f7077,plain,
! [X0] :
( star(X0) != multiplication(addition(one,X0),star(X0))
| star(X0) = multiplication(star(X0),star(star(X0))) ),
inference(resolution,[],[f2057,f1858]) ).
fof(f7099,plain,
! [X0] : star(X0) = multiplication(star(X0),star(star(X0))),
inference(forward_subsumption_resolution,[],[f7077,f881]) ).
fof(f7120,plain,
! [X0] : addition(one,star(X0)) = star(star(X0)),
inference(superposition,[],[f39,f7099]) ).
fof(f7196,plain,
! [X0] : star(X0) = star(star(X0)),
inference(forward_demodulation,[],[f7120,f442]) ).
fof(f7257,plain,
! [X2,X0,X1] : multiplication(star(X0),addition(X1,multiplication(star(X0),X2))) = addition(X1,multiplication(star(X0),multiplication(star(X0),addition(X1,X2)))),
inference(superposition,[],[f4565,f7196]) ).
fof(f7262,plain,
! [X2,X0,X1] : addition(X1,multiplication(star(X0),addition(X1,X2))) = multiplication(star(X0),addition(X1,multiplication(star(X0),X2))),
inference(forward_demodulation,[],[f7257,f3425]) ).
fof(f7285,plain,
! [X2,X0,X1] : multiplication(star(X0),addition(X1,X2)) = multiplication(star(X0),addition(X1,multiplication(star(X0),X2))),
inference(forward_demodulation,[],[f7262,f4475]) ).
fof(f10209,plain,
! [X0] :
( leq(star(multiplication(X0,star(X0))),star(X0))
| star(X0) != multiplication(addition(one,multiplication(X0,star(X0))),star(X0)) ),
inference(superposition,[],[f2057,f3968]) ).
fof(f10287,plain,
! [X0] :
( star(X0) != multiplication(addition(one,X0),star(X0))
| leq(star(multiplication(X0,star(X0))),star(X0)) ),
inference(forward_demodulation,[],[f10209,f3460]) ).
fof(f10304,plain,
! [X0] : leq(star(multiplication(X0,star(X0))),star(X0)),
inference(forward_subsumption_resolution,[],[f10287,f881]) ).
fof(f10315,plain,
! [X0] : star(X0) = addition(star(multiplication(X0,star(X0))),star(X0)),
inference(resolution,[],[f10304,f29]) ).
fof(f10331,plain,
! [X0] : star(X0) = addition(star(X0),star(multiplication(X0,star(X0)))),
inference(forward_demodulation,[],[f10315,f42]) ).
fof(f10365,plain,
! [X0] : addition(one,multiplication(star(X0),star(star(X0)))) = multiplication(addition(one,star(multiplication(X0,star(X0)))),star(star(X0))),
inference(superposition,[],[f872,f10331]) ).
fof(f10380,plain,
! [X0] : addition(one,multiplication(star(X0),star(X0))) = multiplication(addition(one,star(multiplication(X0,star(X0)))),star(X0)),
inference(forward_demodulation,[],[f10365,f7196]) ).
fof(f10399,plain,
! [X0] : addition(one,multiplication(star(X0),star(X0))) = multiplication(star(multiplication(X0,star(X0))),star(X0)),
inference(forward_demodulation,[],[f10380,f442]) ).
fof(f10410,plain,
! [X0] : star(multiplication(X0,star(X0))) = addition(one,multiplication(star(X0),star(X0))),
inference(forward_demodulation,[],[f10399,f3968]) ).
fof(f10415,plain,
! [X0] : star(multiplication(X0,star(X0))) = multiplication(star(X0),star(X0)),
inference(forward_demodulation,[],[f10410,f1692]) ).
fof(f10420,plain,
! [X0] : star(X0) = star(multiplication(X0,star(X0))),
inference(forward_demodulation,[],[f10415,f3388]) ).
fof(f11371,plain,
! [X0,X1] :
( ~ leq(multiplication(star(X0),X1),X1)
| multiplication(addition(one,multiplication(star(one),multiplication(star(X0),X0))),X1) = X1 ),
inference(superposition,[],[f2452,f38]) ).
fof(f11412,plain,
! [X0,X1] :
( multiplication(addition(one,multiplication(star(X0),X0)),X1) = X1
| ~ leq(multiplication(star(X0),X1),X1) ),
inference(forward_demodulation,[],[f11371,f3400]) ).
fof(f11467,plain,
! [X0,X1] :
( ~ leq(multiplication(star(X0),X1),X1)
| multiplication(star(X0),X1) = X1 ),
inference(forward_demodulation,[],[f11412,f38]) ).
fof(f11881,plain,
! [X2,X0,X1] : addition(multiplication(multiplication(star(X0),X0),addition(X1,X2)),multiplication(one,X2)) = addition(multiplication(multiplication(star(X0),X0),X1),multiplication(star(X0),X2)),
inference(superposition,[],[f284,f38]) ).
fof(f12122,plain,
! [X2,X0,X1] : addition(multiplication(multiplication(star(X0),X0),addition(X1,X2)),multiplication(one,X2)) = addition(multiplication(star(X0),multiplication(X0,X1)),multiplication(star(X0),X2)),
inference(forward_demodulation,[],[f11881,f36]) ).
fof(f12315,plain,
! [X2,X0,X1] : multiplication(star(X0),addition(multiplication(X0,X1),X2)) = addition(multiplication(multiplication(star(X0),X0),addition(X1,X2)),multiplication(one,X2)),
inference(forward_demodulation,[],[f12122,f35]) ).
fof(f12443,plain,
! [X2,X0,X1] : multiplication(star(X0),addition(multiplication(X0,X1),X2)) = addition(multiplication(one,X2),multiplication(multiplication(star(X0),X0),addition(X1,X2))),
inference(forward_demodulation,[],[f12315,f42]) ).
fof(f12522,plain,
! [X2,X0,X1] : multiplication(star(X0),addition(multiplication(X0,X1),X2)) = addition(multiplication(one,X2),multiplication(star(X0),multiplication(X0,addition(X1,X2)))),
inference(forward_demodulation,[],[f12443,f36]) ).
fof(f12563,plain,
! [X2,X0,X1] : multiplication(star(X0),addition(multiplication(X0,X1),X2)) = addition(X2,multiplication(star(X0),multiplication(X0,addition(X1,X2)))),
inference(forward_demodulation,[],[f12522,f46]) ).
fof(f12663,plain,
! [X0] : multiplication(star(X0),addition(multiplication(X0,multiplication(sK0,sK1)),multiplication(sK2,sK0))) = addition(multiplication(sK2,sK0),multiplication(star(X0),multiplication(X0,multiplication(sK2,sK0)))),
inference(superposition,[],[f12563,f48]) ).
fof(f12841,plain,
! [X0] : multiplication(star(X0),addition(multiplication(X0,multiplication(sK0,sK1)),multiplication(sK2,sK0))) = multiplication(addition(one,multiplication(star(X0),X0)),multiplication(sK2,sK0)),
inference(forward_demodulation,[],[f12663,f87]) ).
fof(f12924,plain,
! [X0] : multiplication(star(X0),multiplication(sK2,sK0)) = multiplication(star(X0),addition(multiplication(X0,multiplication(sK0,sK1)),multiplication(sK2,sK0))),
inference(forward_demodulation,[],[f12841,f38]) ).
fof(f12978,plain,
! [X0] : multiplication(star(X0),multiplication(sK2,sK0)) = multiplication(star(X0),addition(multiplication(sK2,sK0),multiplication(X0,multiplication(sK0,sK1)))),
inference(forward_demodulation,[],[f12924,f2332]) ).
fof(f27174,plain,
! [X0,X1] :
( leq(multiplication(X0,star(X0)),multiplication(star(X1),X1))
| multiplication(star(X1),X1) != addition(multiplication(star(X1),X0),multiplication(star(X1),X1)) ),
inference(resolution,[],[f1375,f30]) ).
fof(f27233,plain,
! [X0,X1] :
( leq(multiplication(X0,star(X0)),multiplication(star(X1),X1))
| multiplication(star(X1),X1) != multiplication(star(X1),addition(X0,X1)) ),
inference(forward_demodulation,[],[f27174,f35]) ).
fof(f27381,plain,
! [X0] :
( multiplication(star(X0),X0) != multiplication(star(X0),addition(multiplication(star(X0),X0),X0))
| multiplication(star(X0),X0) = multiplication(multiplication(star(X0),X0),star(star(multiplication(star(X0),X0)))) ),
inference(resolution,[],[f27233,f1858]) ).
fof(f27435,plain,
! [X0] :
( multiplication(star(X0),X0) != multiplication(star(X0),addition(X0,multiplication(star(X0),X0)))
| multiplication(star(X0),X0) = multiplication(multiplication(star(X0),X0),star(star(multiplication(star(X0),X0)))) ),
inference(forward_demodulation,[],[f27381,f2332]) ).
fof(f27459,plain,
! [X0] :
( multiplication(star(X0),X0) != multiplication(star(X0),addition(X0,X0))
| multiplication(star(X0),X0) = multiplication(multiplication(star(X0),X0),star(star(multiplication(star(X0),X0)))) ),
inference(forward_demodulation,[],[f27435,f7285]) ).
fof(f27476,plain,
! [X0] :
( multiplication(star(X0),X0) != multiplication(star(X0),X0)
| multiplication(star(X0),X0) = multiplication(multiplication(star(X0),X0),star(star(multiplication(star(X0),X0)))) ),
inference(forward_demodulation,[],[f27459,f40]) ).
fof(f27477,plain,
! [X0] : multiplication(star(X0),X0) = multiplication(multiplication(star(X0),X0),star(star(multiplication(star(X0),X0)))),
inference(trivial_inequality_removal,[],[f27476]) ).
fof(f27489,plain,
! [X0] : multiplication(star(X0),X0) = multiplication(star(X0),multiplication(X0,star(star(multiplication(star(X0),X0))))),
inference(forward_demodulation,[],[f27477,f36]) ).
fof(f27498,plain,
! [X0] : multiplication(star(X0),X0) = multiplication(star(X0),multiplication(X0,star(multiplication(star(X0),X0)))),
inference(forward_demodulation,[],[f27489,f7196]) ).
fof(f27549,plain,
! [X0] :
( leq(multiplication(star(X0),X0),multiplication(X0,star(multiplication(star(X0),X0))))
| multiplication(X0,star(multiplication(star(X0),X0))) != multiplication(addition(one,X0),multiplication(X0,star(multiplication(star(X0),X0)))) ),
inference(superposition,[],[f2057,f27498]) ).
fof(f27554,plain,
! [X0] : addition(one,multiplication(star(X0),X0)) = star(multiplication(star(X0),X0)),
inference(superposition,[],[f126,f27498]) ).
fof(f27661,plain,
! [X0] : star(X0) = star(multiplication(star(X0),X0)),
inference(forward_demodulation,[],[f27554,f38]) ).
fof(f27665,plain,
! [X0] :
( multiplication(X0,star(multiplication(star(X0),X0))) != multiplication(X0,multiplication(addition(one,X0),star(multiplication(star(X0),X0))))
| leq(multiplication(star(X0),X0),multiplication(X0,star(multiplication(star(X0),X0)))) ),
inference(forward_demodulation,[],[f27549,f91]) ).
fof(f27702,plain,
! [X0] :
( multiplication(X0,star(X0)) != multiplication(X0,multiplication(addition(one,X0),star(X0)))
| leq(multiplication(star(X0),X0),multiplication(X0,star(multiplication(star(X0),X0)))) ),
inference(forward_demodulation,[],[f27665,f27661]) ).
fof(f27726,plain,
! [X0] : leq(multiplication(star(X0),X0),multiplication(X0,star(multiplication(star(X0),X0)))),
inference(forward_subsumption_resolution,[],[f27702,f654]) ).
fof(f27740,plain,
! [X0] : leq(multiplication(star(X0),X0),multiplication(X0,star(X0))),
inference(forward_demodulation,[],[f27726,f27661]) ).
fof(f27776,plain,
! [X0] : leq(multiplication(star(X0),multiplication(X0,star(X0))),multiplication(multiplication(X0,star(X0)),star(X0))),
inference(superposition,[],[f27740,f10420]) ).
fof(f27791,plain,
! [X0] : leq(multiplication(star(X0),multiplication(X0,star(X0))),multiplication(X0,multiplication(star(X0),star(X0)))),
inference(forward_demodulation,[],[f27776,f36]) ).
fof(f27801,plain,
! [X0] : leq(multiplication(star(X0),multiplication(X0,star(X0))),multiplication(X0,star(X0))),
inference(forward_demodulation,[],[f27791,f3388]) ).
fof(f27814,plain,
! [X0] : multiplication(X0,star(X0)) = multiplication(star(X0),multiplication(X0,star(X0))),
inference(resolution,[],[f27801,f11467]) ).
fof(f27872,plain,
! [X0] : multiplication(star(X0),X0) = multiplication(star(X0),multiplication(X0,star(X0))),
inference(superposition,[],[f27498,f27661]) ).
fof(f28084,plain,
! [X0] : multiplication(X0,star(X0)) = multiplication(star(X0),X0),
inference(forward_demodulation,[],[f27872,f27814]) ).
fof(f28236,plain,
! [X0,X1] : multiplication(star(X0),multiplication(X0,X1)) = multiplication(multiplication(X0,star(X0)),X1),
inference(superposition,[],[f36,f28084]) ).
fof(f28367,plain,
! [X0,X1] : multiplication(star(X0),multiplication(X0,X1)) = multiplication(X0,multiplication(star(X0),X1)),
inference(forward_demodulation,[],[f28236,f36]) ).
fof(f32774,plain,
! [X2,X0,X1] : addition(multiplication(star(X0),X1),X2) = addition(X1,addition(multiplication(multiplication(X0,star(X0)),X1),X2)),
inference(superposition,[],[f158,f39]) ).
fof(f33219,plain,
! [X2,X0,X1] : addition(multiplication(star(X0),X1),X2) = addition(X1,addition(multiplication(X0,multiplication(star(X0),X1)),X2)),
inference(forward_demodulation,[],[f32774,f36]) ).
fof(f33672,plain,
! [X2,X0,X1] : addition(multiplication(star(X1),X2),X0) = addition(X2,addition(X0,multiplication(X1,multiplication(star(X1),X2)))),
inference(superposition,[],[f33219,f42]) ).
fof(f49308,plain,
multiplication(star(sK2),multiplication(sK2,sK0)) = multiplication(star(sK2),multiplication(sK2,addition(sK0,multiplication(sK0,sK1)))),
inference(superposition,[],[f12978,f35]) ).
fof(f49459,plain,
multiplication(star(sK2),multiplication(sK2,sK0)) = multiplication(sK2,multiplication(star(sK2),addition(sK0,multiplication(sK0,sK1)))),
inference(forward_demodulation,[],[f49308,f28367]) ).
fof(f49520,plain,
multiplication(star(sK2),multiplication(sK2,sK0)) = multiplication(sK2,multiplication(star(sK2),multiplication(sK0,addition(one,sK1)))),
inference(forward_demodulation,[],[f49459,f56]) ).
fof(f49554,plain,
multiplication(sK2,multiplication(star(sK2),multiplication(sK0,addition(one,sK1)))) = multiplication(sK2,multiplication(star(sK2),sK0)),
inference(forward_demodulation,[],[f49520,f28367]) ).
fof(f49618,plain,
multiplication(addition(one,multiplication(sK2,star(sK2))),multiplication(sK0,addition(one,sK1))) = addition(multiplication(sK0,addition(one,sK1)),multiplication(sK2,multiplication(star(sK2),sK0))),
inference(superposition,[],[f87,f49554]) ).
fof(f49738,plain,
multiplication(addition(one,multiplication(sK2,star(sK2))),multiplication(sK0,addition(one,sK1))) = addition(sK0,addition(multiplication(sK0,sK1),multiplication(sK2,multiplication(star(sK2),sK0)))),
inference(forward_demodulation,[],[f49618,f211]) ).
fof(f49756,plain,
addition(multiplication(star(sK2),sK0),multiplication(sK0,sK1)) = multiplication(addition(one,multiplication(sK2,star(sK2))),multiplication(sK0,addition(one,sK1))),
inference(forward_demodulation,[],[f49738,f33672]) ).
fof(f49764,plain,
multiplication(star(sK2),multiplication(sK0,addition(one,sK1))) = addition(multiplication(star(sK2),sK0),multiplication(sK0,sK1)),
inference(forward_demodulation,[],[f49756,f39]) ).
fof(f49770,plain,
multiplication(star(sK2),multiplication(sK0,addition(one,sK1))) = addition(multiplication(sK0,sK1),multiplication(star(sK2),sK0)),
inference(forward_demodulation,[],[f49764,f42]) ).
fof(f49775,plain,
multiplication(star(sK2),sK0) = multiplication(star(sK2),multiplication(sK0,addition(one,sK1))),
inference(forward_demodulation,[],[f49770,f1670]) ).
fof(f49794,plain,
multiplication(star(sK2),sK0) != addition(sK0,multiplication(star(sK2),sK0)),
inference(superposition,[],[f839,f49775]) ).
fof(f49941,plain,
multiplication(star(sK2),sK0) != multiplication(addition(one,star(sK2)),sK0),
inference(forward_demodulation,[],[f49794,f80]) ).
fof(f49986,plain,
multiplication(star(sK2),sK0) != multiplication(star(sK2),sK0),
inference(forward_demodulation,[],[f49941,f442]) ).
fof(f49987,plain,
$false,
inference(trivial_inequality_removal,[],[f49986]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KLE159+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.46 % Computer : n003.cluster.edu
% 0.21/0.46 % Model : x86_64 x86_64
% 0.21/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.46 % Memory : 8046.5625MB
% 0.21/0.46 % OS : Linux 6.8.0-71-generic
% 0.21/0.46 % CPULimit : 300
% 0.21/0.46 % WCLimit : 300
% 0.21/0.46 % DateTime : Sun Sep 27 13:15:25 UTC 2026
% 0.21/0.46 % CPUTime :
% 0.21/0.46 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.52 Running first-order theorem proving
% 0.25/0.52 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
% 16.15/3.64 % (524525)Detected formulas, will run a generic FOF schedule.
% 16.15/3.64 % (524532)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=3968844653:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 16.15/3.64 % (524530)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=2726497482:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 16.15/3.64 % (524533)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4289643319:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 16.15/3.64 % (524534)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2111243721:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 16.15/3.64 % (524535)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1195584905:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 16.15/3.64 % (524531)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=2414380608:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 16.15/3.64 % (524533)Refutation not found, incomplete strategy
% 16.15/3.64 % (524533)------------------------------
% 16.15/3.64 % (524533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.15/3.64 % (524533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.15/3.64 % (524533)CaDiCaL version: 2.1.3
% 16.15/3.64 % (524533)Termination reason: Refutation not found, incomplete strategy
% 16.15/3.64 % (524533)Time elapsed: 0.002 s
% 16.15/3.64 % (524533)Peak memory usage: 88 MB
% 16.15/3.64 % (524536)dis-21_1_sil=8000:lcm=predicate:random_seed=2971713126: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)
% 16.15/3.64 % (524536)Refutation not found, incomplete strategy
% 16.15/3.64 % (524536)------------------------------
% 16.15/3.64 % (524536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.15/3.64 % (524536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.15/3.64 % (524536)CaDiCaL version: 2.1.3
% 16.15/3.64 % (524536)Termination reason: Refutation not found, incomplete strategy
% 16.15/3.64 % (524536)Time elapsed: 0.003 s
% 16.15/3.64 % (524536)Peak memory usage: 88 MB
% 16.15/3.64 % (524536)Instructions burned: 1 (million)
% 16.15/3.64 % (524534)Instruction limit reached!
% 16.15/3.64 % (524534)------------------------------
% 16.15/3.64 % (524534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.15/3.64 % (524534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.15/3.64 % (524534)CaDiCaL version: 2.1.3
% 16.15/3.64 % (524534)Termination reason: Instruction limit
% 16.15/3.64 % (524534)Termination phase: Saturation
% 16.15/3.64 % (524534)Time elapsed: 0.107 s
% 16.15/3.64 % (524534)Peak memory usage: 88 MB
% 16.15/3.64 % (524534)Instructions burned: 119 (million)
% 16.15/3.64 % (524535)Instruction limit reached!
% 16.15/3.64 % (524535)------------------------------
% 16.15/3.64 % (524535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.15/3.64 % (524535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.15/3.64 % (524535)CaDiCaL version: 2.1.3
% 16.15/3.64 % (524535)Termination reason: Instruction limit
% 16.15/3.64 % (524535)Termination phase: Saturation
% 16.15/3.64 % (524535)Time elapsed: 0.144 s
% 16.15/3.64 % (524535)Peak memory usage: 90 MB
% 16.15/3.64 % (524535)Instructions burned: 139 (million)
% 16.15/3.64 % (524533)------------------------------
% 16.15/3.64 % (524533)------------------------------
% 16.15/3.64 % (524536)------------------------------
% 16.15/3.64 % (524536)------------------------------
% 16.15/3.64 % (524544)lrs+10_1_sil=8000:sp=occurrence:random_seed=3810887203:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 16.15/3.64 % (524545)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2875057514:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 16.15/3.64 % (524532)Refutation not found, incomplete strategy
% 16.15/3.64 % (524532)------------------------------
% 16.15/3.64 % (524532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.15/3.64 % (524532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.15/3.64 % (524532)CaDiCaL version: 2.1.3
% 25.52/5.04 % (524532)Termination reason: Refutation not found, incomplete strategy
% 25.52/5.04 % (524532)Time elapsed: 0.614 s
% 25.52/5.04 % (524532)Peak memory usage: 128 MB
% 25.52/5.04 % (524532)Instructions burned: 908 (million)
% 25.52/5.04 % (524545)Instruction limit reached!
% 25.52/5.04 % (524545)------------------------------
% 25.52/5.04 % (524545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.52/5.04 % (524545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.52/5.04 % (524545)CaDiCaL version: 2.1.3
% 25.52/5.04 % (524545)Termination reason: Instruction limit
% 25.52/5.04 % (524545)Termination phase: Saturation
% 25.52/5.04 % (524545)Time elapsed: 0.162 s
% 25.52/5.04 % (524545)Peak memory usage: 90 MB
% 25.52/5.04 % (524545)Instructions burned: 157 (million)
% 25.52/5.04 % (524549)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2411831559:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 25.52/5.04 % (524547)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3997704625:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 25.52/5.04 % (524544)Instruction limit reached!
% 25.52/5.04 % (524544)------------------------------
% 25.52/5.04 % (524544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.52/5.04 % (524544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.52/5.04 % (524544)CaDiCaL version: 2.1.3
% 25.52/5.04 % (524544)Termination reason: Instruction limit
% 25.52/5.04 % (524544)Termination phase: Saturation
% 25.52/5.04 % (524544)Time elapsed: 0.292 s
% 25.52/5.04 % (524544)Peak memory usage: 92 MB
% 25.52/5.04 % (524544)Instructions burned: 286 (million)
% 25.52/5.04 % (524549)Instruction limit reached!
% 25.52/5.04 % (524549)------------------------------
% 25.52/5.04 % (524549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.52/5.04 % (524549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.52/5.04 % (524549)CaDiCaL version: 2.1.3
% 25.52/5.04 % (524549)Termination reason: Instruction limit
% 25.52/5.04 % (524549)Termination phase: Saturation
% 25.52/5.04 % (524549)Time elapsed: 0.134 s
% 25.52/5.04 % (524549)Peak memory usage: 92 MB
% 25.52/5.04 % (524549)Instructions burned: 248 (million)
% 25.52/5.04 % (524551)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2398043817:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 25.52/5.04 % (524551)Refutation not found, incomplete strategy
% 25.52/5.04 % (524551)------------------------------
% 25.52/5.04 % (524551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.52/5.04 % (524551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.52/5.04 % (524551)CaDiCaL version: 2.1.3
% 25.52/5.04 % (524551)Termination reason: Refutation not found, incomplete strategy
% 25.52/5.04 % (524551)Time elapsed: 0.003 s
% 25.52/5.04 % (524551)Peak memory usage: 88 MB
% 25.52/5.04 % (524551)Instructions burned: 1 (million)
% 25.52/5.04 % (524532)------------------------------
% 25.52/5.04 % (524532)------------------------------
% 25.52/5.04 % (524554)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=180604379:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 25.52/5.04 % (524547)Instruction limit reached!
% 25.52/5.04 % (524547)------------------------------
% 25.52/5.04 % (524547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.52/5.04 % (524547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.52/5.04 % (524547)CaDiCaL version: 2.1.3
% 25.52/5.04 % (524547)Termination reason: Instruction limit
% 25.52/5.04 % (524547)Termination phase: Saturation
% 25.52/5.04 % (524547)Time elapsed: 0.324 s
% 25.52/5.04 % (524547)Peak memory usage: 93 MB
% 25.52/5.04 % (524547)Instructions burned: 325 (million)
% 25.52/5.04 % (524555)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3443356434:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 25.52/5.04 % (524555)Instruction limit reached!
% 25.52/5.04 % (524555)------------------------------
% 25.52/5.04 % (524555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.52/5.04 % (524555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.52/5.04 % (524555)CaDiCaL version: 2.1.3
% 25.52/5.04 % (524555)Termination reason: Instruction limit
% 25.52/5.04 % (524555)Termination phase: Saturation
% 25.52/5.04 % (524555)Time elapsed: 0.059 s
% 25.52/5.04 % (524555)Peak memory usage: 89 MB
% 49.36/8.18 % (524555)Instructions burned: 114 (million)
% 49.36/8.18 % (524557)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1556407857:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 49.36/8.18 % (524557)Refutation not found, incomplete strategy
% 49.36/8.18 % (524557)------------------------------
% 49.36/8.18 % (524557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.36/8.18 % (524557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.36/8.18 % (524557)CaDiCaL version: 2.1.3
% 49.36/8.18 % (524557)Termination reason: Refutation not found, incomplete strategy
% 49.36/8.18 % (524557)Time elapsed: 0.002 s
% 49.36/8.18 % (524557)Peak memory usage: 88 MB
% 49.36/8.18 % (524560)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3905812115:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 49.36/8.18 % (524560)Refutation not found, incomplete strategy
% 49.36/8.18 % (524560)------------------------------
% 49.36/8.18 % (524560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.36/8.18 % (524560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.36/8.18 % (524560)CaDiCaL version: 2.1.3
% 49.36/8.18 % (524560)Termination reason: Refutation not found, incomplete strategy
% 49.36/8.18 % (524560)Time elapsed: 0.004 s
% 49.36/8.18 % (524560)Peak memory usage: 88 MB
% 49.36/8.18 % (524560)Instructions burned: 3 (million)
% 49.36/8.18 % (524551)------------------------------
% 49.36/8.18 % (524551)------------------------------
% 49.36/8.18 % (524561)lrs+10_1_sil=8000:sp=occurrence:random_seed=3738341012:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 49.36/8.18 % (524565)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2405216376:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 49.36/8.18 % (524565)Refutation not found, incomplete strategy
% 49.36/8.18 % (524565)------------------------------
% 49.36/8.18 % (524565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.36/8.18 % (524565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.36/8.18 % (524565)CaDiCaL version: 2.1.3
% 49.36/8.18 % (524565)Termination reason: Refutation not found, incomplete strategy
% 49.36/8.18 % (524565)Time elapsed: 0.002 s
% 49.36/8.18 % (524565)Peak memory usage: 88 MB
% 49.36/8.18 % (524557)------------------------------
% 49.36/8.18 % (524557)------------------------------
% 49.36/8.18 % (524560)------------------------------
% 49.36/8.18 % (524560)------------------------------
% 49.36/8.18 % (524561)Instruction limit reached!
% 49.36/8.18 % (524561)------------------------------
% 49.36/8.18 % (524561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.36/8.18 % (524561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.36/8.18 % (524561)CaDiCaL version: 2.1.3
% 49.36/8.18 % (524561)Termination reason: Instruction limit
% 49.36/8.18 % (524561)Termination phase: Saturation
% 49.36/8.18 % (524561)Time elapsed: 0.479 s
% 49.36/8.18 % (524561)Peak memory usage: 97 MB
% 49.36/8.18 % (524561)Instructions burned: 907 (million)
% 49.36/8.18 % (524567)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2154677496:i=5202:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/5202Mi)
% 49.36/8.18 % (524568)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1223285974:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 49.36/8.18 % (524568)Refutation not found, incomplete strategy
% 49.36/8.18 % (524568)------------------------------
% 49.36/8.18 % (524568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.36/8.18 % (524568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.36/8.18 % (524568)CaDiCaL version: 2.1.3
% 49.36/8.18 % (524568)Termination reason: Refutation not found, incomplete strategy
% 49.36/8.18 % (524568)Time elapsed: 0.004 s
% 49.36/8.18 % (524568)Peak memory usage: 89 MB
% 49.36/8.18 % (524568)Instructions burned: 1 (million)
% 49.36/8.18 % (524565)------------------------------
% 49.36/8.18 % (524565)------------------------------
% 49.36/8.18 % (524569)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2452589979:st=8:i=592:sd=3:ep=RST:ss=axioms_2979 on theBenchmark for (2979ds/592Mi)
% 49.36/8.18 % (524569)Refutation not found, incomplete strategy
% 49.36/8.18 % (524569)------------------------------
% 49.36/8.18 % (524569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.46/9.55 % (524569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.46/9.55 % (524569)CaDiCaL version: 2.1.3
% 50.46/9.55 % (524569)Termination reason: Refutation not found, incomplete strategy
% 50.46/9.55 % (524569)Time elapsed: 0.002 s
% 50.46/9.55 % (524569)Peak memory usage: 88 MB
% 50.46/9.55 % (524569)Instructions burned: 1 (million)
% 50.46/9.55 % (524569)------------------------------
% 50.46/9.55 % (524569)------------------------------
% 50.46/9.55 % (524572)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2962277877:st=3:i=13193:sd=3:ss=axioms_2977 on theBenchmark for (2977ds/13193Mi)
% 50.46/9.55 % (524568)------------------------------
% 50.46/9.55 % (524568)------------------------------
% 50.46/9.55 % (524574)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1984523058:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/125Mi)
% 50.46/9.55 % (524576)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=618550336:i=134:gtgl=5:slsql=off:gtg=exists_sym_2973 on theBenchmark for (2973ds/134Mi)
% 50.46/9.55 % (524574)Instruction limit reached!
% 50.46/9.55 % (524574)------------------------------
% 50.46/9.55 % (524574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.46/9.55 % (524574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.46/9.55 % (524574)CaDiCaL version: 2.1.3
% 50.46/9.55 % (524574)Termination reason: Instruction limit
% 50.46/9.55 % (524574)Termination phase: Saturation
% 50.46/9.55 % (524574)Time elapsed: 0.083 s
% 50.46/9.55 % (524574)Peak memory usage: 90 MB
% 50.46/9.55 % (524574)Instructions burned: 126 (million)
% 50.46/9.55 % (524576)Instruction limit reached!
% 50.46/9.55 % (524576)------------------------------
% 50.46/9.55 % (524576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.46/9.55 % (524576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.46/9.55 % (524576)CaDiCaL version: 2.1.3
% 50.46/9.55 % (524576)Termination reason: Instruction limit
% 50.46/9.55 % (524576)Termination phase: Saturation
% 50.46/9.55 % (524576)Time elapsed: 0.130 s
% 50.46/9.55 % (524576)Peak memory usage: 89 MB
% 50.46/9.55 % (524576)Instructions burned: 135 (million)
% 50.46/9.55 % (524579)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2323809124:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2970 on theBenchmark for (2970ds/141Mi)
% 50.46/9.55 % (524579)Refutation not found, incomplete strategy
% 50.46/9.55 % (524579)------------------------------
% 50.46/9.55 % (524579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.46/9.55 % (524579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.46/9.55 % (524579)CaDiCaL version: 2.1.3
% 50.46/9.55 % (524579)Termination reason: Refutation not found, incomplete strategy
% 50.46/9.55 % (524579)Time elapsed: 0.001 s
% 50.46/9.55 % (524579)Peak memory usage: 88 MB
% 50.46/9.55 % (524580)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1443213208:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2969 on theBenchmark for (2969ds/431Mi)
% 50.46/9.55 % (524580)Refutation not found, incomplete strategy
% 50.46/9.55 % (524580)------------------------------
% 50.46/9.55 % (524580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.46/9.55 % (524580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.46/9.55 % (524580)CaDiCaL version: 2.1.3
% 50.46/9.55 % (524580)Termination reason: Refutation not found, incomplete strategy
% 50.46/9.55 % (524580)Time elapsed: 0.002 s
% 50.46/9.55 % (524580)Peak memory usage: 88 MB
% 50.46/9.55 % (524579)------------------------------
% 50.46/9.55 % (524579)------------------------------
% 50.46/9.55 % (524554)Instruction limit reached!
% 50.46/9.55 % (524554)------------------------------
% 50.46/9.55 % (524554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.46/9.55 % (524554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.46/9.55 % (524554)CaDiCaL version: 2.1.3
% 50.46/9.55 % (524554)Termination reason: Instruction limit
% 50.46/9.55 % (524554)Termination phase: Saturation
% 50.46/9.55 % (524554)Time elapsed: 2.428 s
% 50.46/9.55 % (524554)Peak memory usage: 144 MB
% 50.46/9.55 % (524554)Instructions burned: 2354 (million)
% 50.46/9.55 % (524583)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2846462655:i=6060:aac=none:ins=25_2965 on theBenchmark for (2965ds/6060Mi)
% 50.46/9.55 % (524580)------------------------------
% 50.46/9.55 % (524580)------------------------------
% 50.46/9.55 % (524584)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=551882920:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2962 on theBenchmark for (2962ds/150Mi)
% 50.46/9.55 % (524586)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2323977054:i=14155:bd=all_2962 on theBenchmark for (2962ds/14155Mi)
% 50.46/9.55 % (524584)Instruction limit reached!
% 50.46/9.55 % (524584)------------------------------
% 50.46/9.55 % (524584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.46/9.55 % (524584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.46/9.55 % (524584)CaDiCaL version: 2.1.3
% 50.46/9.55 % (524584)Termination reason: Instruction limit
% 50.46/9.55 % (524584)Termination phase: Saturation
% 50.46/9.55 % (524584)Time elapsed: 0.153 s
% 50.46/9.55 % (524584)Peak memory usage: 91 MB
% 50.46/9.55 % (524584)Instructions burned: 150 (million)
% 50.46/9.55 % (524589)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2870903131:i=667:av=off:fsr=off_2958 on theBenchmark for (2958ds/667Mi)
% 50.46/9.55 % (524589)Instruction limit reached!
% 50.46/9.55 % (524589)------------------------------
% 50.46/9.55 % (524589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.46/9.55 % (524589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.46/9.55 % (524589)CaDiCaL version: 2.1.3
% 50.46/9.55 % (524589)Termination reason: Instruction limit
% 50.46/9.55 % (524589)Termination phase: Saturation
% 50.46/9.55 % (524589)Time elapsed: 0.473 s
% 50.46/9.55 % (524589)Peak memory usage: 89 MB
% 50.46/9.55 % (524589)Instructions burned: 667 (million)
% 50.46/9.55 % (524591)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=3450779462:s2a=on:i=185:s2at=1.8:fdi=4_2950 on theBenchmark for (2950ds/185Mi)
% 50.46/9.56 % (524591)Instruction limit reached!
% 50.46/9.56 % (524591)------------------------------
% 50.46/9.56 % (524591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.46/9.56 % (524591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.46/9.56 % (524591)CaDiCaL version: 2.1.3
% 50.46/9.56 % (524591)Termination reason: Instruction limit
% 50.46/9.56 % (524591)Termination phase: Saturation
% 50.46/9.56 % (524591)Time elapsed: 0.157 s
% 50.46/9.56 % (524591)Peak memory usage: 90 MB
% 50.46/9.56 % (524591)Instructions burned: 186 (million)
% 50.46/9.56 % (524593)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=336124164:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2946 on theBenchmark for (2946ds/193Mi)
% 50.46/9.56 % (524593)Instruction limit reached!
% 50.46/9.56 % (524593)------------------------------
% 50.46/9.56 % (524593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.46/9.56 % (524593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.46/9.56 % (524593)CaDiCaL version: 2.1.3
% 50.46/9.56 % (524593)Termination reason: Instruction limit
% 50.46/9.56 % (524593)Termination phase: Saturation
% 50.46/9.56 % (524593)Time elapsed: 0.203 s
% 50.46/9.56 % (524593)Peak memory usage: 90 MB
% 50.46/9.56 % (524593)Instructions burned: 193 (million)
% 50.46/9.56 % (524595)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3548202926:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2941 on theBenchmark for (2941ds/4850Mi)
% 50.46/9.56 % (524595)Refutation not found, incomplete strategy
% 50.46/9.56 % (524595)------------------------------
% 50.46/9.56 % (524595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.46/9.56 % (524595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.46/9.56 % (524595)CaDiCaL version: 2.1.3
% 50.46/9.56 % (524595)Termination reason: Refutation not found, incomplete strategy
% 50.46/9.56 % (524595)Time elapsed: 0.002 s
% 50.46/9.56 % (524595)Peak memory usage: 88 MB
% 50.46/9.56 % (524595)------------------------------
% 50.46/9.56 % (524595)------------------------------
% 50.46/9.56 % (524597)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1715600936:i=12111:sd=1:ss=included_2934 on theBenchmark for (2934ds/12111Mi)
% 50.46/9.56 % (524567)Instruction limit reached!
% 50.46/9.56 % (524567)------------------------------
% 50.46/9.56 % (524567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.46/9.56 % (524567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.46/9.56 % (524567)CaDiCaL version: 2.1.3
% 50.46/9.56 % (524567)Termination reason: Instruction limit
% 50.46/9.56 % (524567)Termination phase: Saturation
% 50.46/9.56 % (524567)Time elapsed: 5.257 s
% 50.46/9.56 % (524567)Peak memory usage: 168 MB
% 50.46/9.56 % (524567)Instructions burned: 5202 (million)
% 50.46/9.56 % (524531)First to succeed.
% 50.46/9.56 % (524531)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-524525"
% 50.46/9.56 % (524599)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3032862031:i=319:kws=precedence:fsr=off_2924 on theBenchmark for (2924ds/319Mi)
% 50.46/9.56 % (524599)Instruction limit reached!
% 50.46/9.56 % (524599)------------------------------
% 50.46/9.56 % (524599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.46/9.56 % (524599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.46/9.56 % (524599)CaDiCaL version: 2.1.3
% 50.46/9.56 % (524599)Termination reason: Instruction limit
% 50.46/9.56 % (524599)Termination phase: Saturation
% 50.46/9.56 % (524599)Time elapsed: 0.274 s
% 50.46/9.56 % (524599)Peak memory usage: 92 MB
% 50.46/9.56 % (524599)Instructions burned: 320 (million)
% 50.46/9.56 % (524531)Refutation found. Thanks to Tanya!
% 50.46/9.56 % SZS status Theorem for theBenchmark
% 50.46/9.56 % SZS output start Proof for theBenchmark
% See solution above
% 59.46/9.93 % (524531)------------------------------
% 59.46/9.93 % (524531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.46/9.93 % (524531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.46/9.93 % (524531)CaDiCaL version: 2.1.3
% 59.46/9.93 % (524531)Termination reason: Refutation
% 59.46/9.93 % (524531)Time elapsed: 7.483 s
% 59.46/9.93 % (524531)Peak memory usage: 187 MB
% 59.46/9.93 % (524531)Instructions burned: 7147 (million)
% 59.46/9.93 % (524531)------------------------------
% 59.46/9.93 % (524531)------------------------------
% 59.46/9.93 % (524525)Success in time 8.261 s
% 59.46/9.93 % Vampire exiting
%------------------------------------------------------------------------------