%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE036+1 : 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 4.30s 1.12s
% Output : Refutation 4.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 12
% Syntax : Number of formulae : 115 ( 104 unt; 0 def)
% Number of atoms : 126 ( 97 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 35 ( 24 ~; 9 |; 0 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 237 ( 236 !; 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(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',multiplicative_associativity) ).
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(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(f16,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X1),X2),X0)
=> leq(multiplication(X2,star(X1)),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_induction_right) ).
fof(f17,conjecture,
! [X0] : leq(star(X0),addition(one,multiplication(X0,star(X0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0] : leq(star(X0),addition(one,multiplication(X0,star(X0)))),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f20,plain,
! [X0,X1,X2] :
( leq(multiplication(X2,star(X1)),X0)
| ~ leq(addition(multiplication(X0,X1),X2),X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f21,plain,
? [X0] : ~ leq(star(X0),addition(one,multiplication(X0,star(X0)))),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f23,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f25,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f26,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f27,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f28,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f29,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f30,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f33,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f34,plain,
! [X0,X1] :
( addition(X0,X1) = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f36,plain,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X1),X2),X0)
| leq(multiplication(X2,star(X1)),X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f39,plain,
~ leq(star(sK0),addition(one,multiplication(sK0,star(sK0)))),
inference(cnf_transformation,[],[f21]) ).
fof(f40,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(consistent_polarity_flipping,[],[f34]) ).
fof(f41,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(consistent_polarity_flipping,[],[f33]) ).
fof(f43,plain,
! [X0] : ~ leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(consistent_polarity_flipping,[],[f36]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ leq(multiplication(X2,star(X1)),X0)
| leq(addition(multiplication(X0,X1),X2),X0) ),
inference(consistent_polarity_flipping,[],[f38]) ).
fof(f46,plain,
leq(star(sK0),addition(one,multiplication(sK0,star(sK0)))),
inference(consistent_polarity_flipping,[],[f39]) ).
fof(f65,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(resolution,[],[f43,f40]) ).
fof(f69,plain,
! [X0] : star(X0) = addition(star(X0),addition(one,multiplication(star(X0),X0))),
inference(forward_demodulation,[],[f65,f22]) ).
fof(f70,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f23,f25]) ).
fof(f73,plain,
! [X2,X0,X1] : addition(addition(X0,X1),X2) = addition(X1,addition(X0,X2)),
inference(superposition,[],[f23,f22]) ).
fof(f82,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X1,addition(X0,X1))),
inference(superposition,[],[f25,f23]) ).
fof(f85,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f22,f23]) ).
fof(f94,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,addition(X0,X1)),
inference(superposition,[],[f70,f22]) ).
fof(f97,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),addition(X0,addition(X1,X2))),
inference(superposition,[],[f70,f23]) ).
fof(f107,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X0,addition(addition(X1,X2),addition(X0,X1))),
inference(forward_demodulation,[],[f97,f85]) ).
fof(f108,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X0,addition(X1,addition(addition(X1,X2),X0))),
inference(forward_demodulation,[],[f107,f85]) ).
fof(f109,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X0,addition(X1,addition(X1,addition(X2,X0)))),
inference(forward_demodulation,[],[f108,f23]) ).
fof(f110,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X0,addition(X1,addition(X2,X0))),
inference(forward_demodulation,[],[f109,f70]) ).
fof(f160,plain,
! [X2,X3,X0,X1] : addition(addition(X0,addition(X1,X2)),X3) = addition(X2,addition(addition(X0,X1),X3)),
inference(superposition,[],[f73,f23]) ).
fof(f172,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(superposition,[],[f23,f73]) ).
fof(f195,plain,
! [X2,X3,X0,X1] : addition(addition(X0,addition(X1,X2)),X3) = addition(X2,addition(X0,addition(X1,X3))),
inference(forward_demodulation,[],[f160,f23]) ).
fof(f206,plain,
! [X2,X3,X0,X1] : addition(X0,addition(addition(X1,X2),X3)) = addition(X2,addition(X0,addition(X1,X3))),
inference(forward_demodulation,[],[f195,f23]) ).
fof(f213,plain,
! [X2,X3,X0,X1] : addition(X0,addition(X1,addition(X2,X3))) = addition(X2,addition(X0,addition(X1,X3))),
inference(forward_demodulation,[],[f206,f23]) ).
fof(f369,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X1,X0)),
inference(superposition,[],[f70,f85]) ).
fof(f499,plain,
! [X2,X0,X1] : addition(addition(X0,X1),X2) = addition(addition(X1,X0),addition(X0,X2)),
inference(superposition,[],[f73,f369]) ).
fof(f515,plain,
! [X2,X0,X1] : addition(addition(X0,X1),X2) = addition(X0,addition(X2,addition(X1,X0))),
inference(forward_demodulation,[],[f499,f85]) ).
fof(f536,plain,
! [X2,X0,X1] : addition(addition(X0,X1),X2) = addition(X0,addition(X2,X1)),
inference(forward_demodulation,[],[f515,f110]) ).
fof(f731,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X0,addition(X2,X1)),
inference(superposition,[],[f85,f172]) ).
fof(f738,plain,
! [X2,X3,X0,X1] : addition(addition(X0,addition(X1,X2)),X3) = addition(addition(X0,X2),addition(X1,X3)),
inference(superposition,[],[f73,f172]) ).
fof(f759,plain,
! [X2,X3,X0,X1] : addition(addition(X0,addition(X1,X2)),X3) = addition(X0,addition(X2,addition(X1,X3))),
inference(forward_demodulation,[],[f738,f23]) ).
fof(f805,plain,
! [X2,X3,X0,X1] : addition(X0,addition(addition(X1,X2),X3)) = addition(X0,addition(X2,addition(X1,X3))),
inference(forward_demodulation,[],[f759,f23]) ).
fof(f821,plain,
! [X2,X3,X0,X1] : addition(X0,addition(X1,addition(X2,X3))) = addition(X0,addition(X2,addition(X1,X3))),
inference(forward_demodulation,[],[f805,f23]) ).
fof(f1614,plain,
! [X2,X0,X1] : addition(addition(X2,X1),X0) = addition(X0,addition(X1,X2)),
inference(superposition,[],[f22,f731]) ).
fof(f2813,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f29,f27]) ).
fof(f2832,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),addition(multiplication(X0,X2),multiplication(X0,addition(X1,X2)))),
inference(superposition,[],[f82,f29]) ).
fof(f2843,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,addition(X1,X2)),X3) = addition(multiplication(X0,X1),addition(X3,multiplication(X0,X2))),
inference(superposition,[],[f536,f29]) ).
fof(f2845,plain,
! [X2,X3,X0,X1] : addition(X3,multiplication(X0,addition(X1,X2))) = addition(X3,addition(multiplication(X0,X2),multiplication(X0,X1))),
inference(superposition,[],[f731,f29]) ).
fof(f2846,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,addition(X1,X2)),X3) = addition(X3,addition(multiplication(X0,X2),multiplication(X0,X1))),
inference(superposition,[],[f1614,f29]) ).
fof(f2849,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,addition(X1,X2)),X3) = addition(X3,multiplication(X0,addition(X2,X1))),
inference(forward_demodulation,[],[f2846,f29]) ).
fof(f2850,plain,
! [X2,X3,X0,X1] : addition(X3,multiplication(X0,addition(X1,X2))) = addition(X3,multiplication(X0,addition(X2,X1))),
inference(forward_demodulation,[],[f2845,f29]) ).
fof(f2855,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,addition(X1,addition(X1,X2))),multiplication(X0,X2)),
inference(forward_demodulation,[],[f2832,f2843]) ).
fof(f2868,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = multiplication(X0,addition(addition(X1,addition(X1,X2)),X2)),
inference(forward_demodulation,[],[f2855,f29]) ).
fof(f2873,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = multiplication(X0,addition(X2,addition(X1,addition(X1,X2)))),
inference(forward_demodulation,[],[f2868,f22]) ).
fof(f2876,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = multiplication(X0,addition(X2,addition(X1,X1))),
inference(forward_demodulation,[],[f2873,f110]) ).
fof(f2877,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = multiplication(X0,addition(X2,X1)),
inference(forward_demodulation,[],[f2876,f25]) ).
fof(f2910,plain,
! [X2,X0,X1] : multiplication(multiplication(X0,X1),addition(one,X2)) = addition(multiplication(X0,X1),multiplication(X0,multiplication(X1,X2))),
inference(superposition,[],[f2813,f26]) ).
fof(f2934,plain,
! [X2,X0,X1] : addition(multiplication(X0,addition(one,X1)),X2) = addition(X0,addition(X2,multiplication(X0,X1))),
inference(superposition,[],[f536,f2813]) ).
fof(f2935,plain,
! [X2,X0,X1] : addition(multiplication(X0,addition(one,X1)),X2) = addition(X2,addition(multiplication(X0,X1),X0)),
inference(superposition,[],[f1614,f2813]) ).
fof(f2950,plain,
! [X2,X0,X1] : addition(multiplication(X0,addition(one,X1)),X2) = addition(X2,addition(X0,multiplication(X0,X1))),
inference(forward_demodulation,[],[f2935,f731]) ).
fof(f2965,plain,
! [X2,X0,X1] : multiplication(multiplication(X0,X1),addition(one,X2)) = multiplication(X0,addition(X1,multiplication(X1,X2))),
inference(forward_demodulation,[],[f2910,f29]) ).
fof(f2980,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,addition(one,X2))) = multiplication(X0,addition(X1,multiplication(X1,X2))),
inference(forward_demodulation,[],[f2965,f26]) ).
fof(f3153,plain,
! [X2,X3,X0,X1] : multiplication(multiplication(X0,X1),addition(X2,X3)) = multiplication(X0,multiplication(X1,addition(X3,X2))),
inference(superposition,[],[f26,f2877]) ).
fof(f3157,plain,
! [X2,X3,X0,X1] : multiplication(X0,multiplication(X1,addition(X3,X2))) = multiplication(X0,multiplication(X1,addition(X2,X3))),
inference(forward_demodulation,[],[f3153,f26]) ).
fof(f3357,plain,
! [X0] : star(X0) = addition(star(X0),addition(addition(one,multiplication(star(X0),X0)),star(X0))),
inference(superposition,[],[f82,f69]) ).
fof(f3382,plain,
! [X0] : star(X0) = addition(star(X0),addition(star(X0),addition(one,multiplication(star(X0),X0)))),
inference(forward_demodulation,[],[f3357,f85]) ).
fof(f3407,plain,
! [X0] : star(X0) = addition(one,addition(star(X0),addition(star(X0),multiplication(star(X0),X0)))),
inference(forward_demodulation,[],[f3382,f213]) ).
fof(f3428,plain,
! [X0] : star(X0) = addition(one,addition(multiplication(star(X0),addition(one,X0)),star(X0))),
inference(forward_demodulation,[],[f3407,f2934]) ).
fof(f3443,plain,
! [X0] : star(X0) = addition(one,addition(star(X0),multiplication(star(X0),addition(one,X0)))),
inference(forward_demodulation,[],[f3428,f731]) ).
fof(f3451,plain,
! [X0] : star(X0) = addition(multiplication(star(X0),addition(one,addition(one,X0))),one),
inference(forward_demodulation,[],[f3443,f2950]) ).
fof(f3456,plain,
! [X0] : star(X0) = addition(one,multiplication(star(X0),addition(addition(one,X0),one))),
inference(forward_demodulation,[],[f3451,f2849]) ).
fof(f3459,plain,
! [X0] : star(X0) = addition(one,multiplication(star(X0),addition(one,addition(one,X0)))),
inference(forward_demodulation,[],[f3456,f2850]) ).
fof(f3462,plain,
! [X0] : star(X0) = addition(one,multiplication(star(X0),addition(one,X0))),
inference(forward_demodulation,[],[f3459,f70]) ).
fof(f3499,plain,
! [X0] : star(X0) = addition(one,star(X0)),
inference(superposition,[],[f70,f3462]) ).
fof(f3504,plain,
! [X0] : star(X0) = addition(multiplication(star(X0),addition(one,X0)),star(X0)),
inference(superposition,[],[f94,f3462]) ).
fof(f3522,plain,
! [X0] : star(X0) = addition(star(X0),multiplication(star(X0),addition(X0,one))),
inference(forward_demodulation,[],[f3504,f2849]) ).
fof(f3534,plain,
! [X0] : star(X0) = multiplication(star(X0),addition(one,addition(X0,one))),
inference(forward_demodulation,[],[f3522,f2813]) ).
fof(f3537,plain,
! [X0] : star(X0) = multiplication(star(X0),addition(X0,one)),
inference(forward_demodulation,[],[f3534,f94]) ).
fof(f3546,plain,
! [X0,X1] : multiplication(X1,star(X0)) = addition(X1,multiplication(X1,star(X0))),
inference(superposition,[],[f2813,f3499]) ).
fof(f3672,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f30,f28]) ).
fof(f3820,plain,
! [X2,X0,X1] : addition(X2,multiplication(addition(one,X0),X1)) = addition(X1,addition(X2,multiplication(X0,X1))),
inference(superposition,[],[f172,f3672]) ).
fof(f4586,plain,
! [X2,X0,X1] : addition(X2,multiplication(X0,star(X1))) = addition(X0,addition(X2,multiplication(X0,star(X1)))),
inference(superposition,[],[f172,f3546]) ).
fof(f6251,plain,
! [X0,X1] :
( ~ leq(star(X0),X1)
| leq(addition(multiplication(X1,X0),one),X1) ),
inference(superposition,[],[f45,f28]) ).
fof(f6256,plain,
! [X0,X1] :
( ~ leq(star(X0),X1)
| leq(addition(one,multiplication(X1,X0)),X1) ),
inference(forward_demodulation,[],[f6251,f22]) ).
fof(f6282,plain,
leq(addition(one,multiplication(addition(one,multiplication(sK0,star(sK0))),sK0)),addition(one,multiplication(sK0,star(sK0)))),
inference(resolution,[],[f6256,f46]) ).
fof(f6284,plain,
leq(addition(sK0,addition(one,multiplication(multiplication(sK0,star(sK0)),sK0))),addition(one,multiplication(sK0,star(sK0)))),
inference(forward_demodulation,[],[f6282,f3820]) ).
fof(f6285,plain,
leq(addition(sK0,addition(one,multiplication(sK0,multiplication(star(sK0),sK0)))),addition(one,multiplication(sK0,star(sK0)))),
inference(forward_demodulation,[],[f6284,f26]) ).
fof(f6286,plain,
addition(one,multiplication(sK0,star(sK0))) != addition(addition(sK0,addition(one,multiplication(sK0,multiplication(star(sK0),sK0)))),addition(one,multiplication(sK0,star(sK0)))),
inference(resolution,[],[f6285,f41]) ).
fof(f6287,plain,
addition(one,multiplication(sK0,star(sK0))) != addition(addition(one,multiplication(sK0,star(sK0))),addition(sK0,addition(one,multiplication(sK0,multiplication(star(sK0),sK0))))),
inference(forward_demodulation,[],[f6286,f22]) ).
fof(f6288,plain,
addition(one,multiplication(sK0,star(sK0))) != addition(sK0,addition(addition(one,multiplication(sK0,multiplication(star(sK0),sK0))),addition(one,multiplication(sK0,star(sK0))))),
inference(forward_demodulation,[],[f6287,f85]) ).
fof(f6289,plain,
addition(one,multiplication(sK0,star(sK0))) != addition(sK0,addition(addition(one,multiplication(sK0,star(sK0))),addition(one,multiplication(sK0,multiplication(star(sK0),sK0))))),
inference(forward_demodulation,[],[f6288,f731]) ).
fof(f6290,plain,
addition(one,multiplication(sK0,star(sK0))) != addition(sK0,addition(one,addition(addition(one,multiplication(sK0,star(sK0))),multiplication(sK0,multiplication(star(sK0),sK0))))),
inference(forward_demodulation,[],[f6289,f821]) ).
fof(f6291,plain,
addition(one,multiplication(sK0,star(sK0))) != addition(sK0,addition(one,addition(one,addition(multiplication(sK0,star(sK0)),multiplication(sK0,multiplication(star(sK0),sK0)))))),
inference(forward_demodulation,[],[f6290,f23]) ).
fof(f6292,plain,
addition(one,multiplication(sK0,star(sK0))) != addition(sK0,addition(one,addition(multiplication(sK0,star(sK0)),multiplication(sK0,multiplication(star(sK0),sK0))))),
inference(forward_demodulation,[],[f6291,f70]) ).
fof(f6293,plain,
addition(one,multiplication(sK0,star(sK0))) != addition(sK0,addition(one,multiplication(sK0,addition(star(sK0),multiplication(star(sK0),sK0))))),
inference(forward_demodulation,[],[f6292,f29]) ).
fof(f6294,plain,
addition(one,multiplication(sK0,star(sK0))) != addition(sK0,addition(one,multiplication(sK0,multiplication(star(sK0),addition(one,sK0))))),
inference(forward_demodulation,[],[f6293,f2980]) ).
fof(f6295,plain,
addition(one,multiplication(sK0,star(sK0))) != addition(sK0,addition(one,multiplication(sK0,multiplication(star(sK0),addition(sK0,one))))),
inference(forward_demodulation,[],[f6294,f3157]) ).
fof(f6296,plain,
addition(one,multiplication(sK0,star(sK0))) != addition(sK0,addition(one,multiplication(sK0,star(sK0)))),
inference(forward_demodulation,[],[f6295,f3537]) ).
fof(f6297,plain,
$false,
inference(forward_subsumption_resolution,[],[f6296,f4586]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE036+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n016.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 13:08:32 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 4.30/1.12 % (2623360)Will run a generic schedule for satisfiability detection.
% 4.30/1.12 % (2623370)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1810666787:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.30/1.12 % (2623366)% WARNING: option uhcvi not known.
% 4.30/1.12 % (2623365)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3095192541_2999 on theBenchmark for (2999ds/0Mi)
% 4.30/1.12 % (2623366)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=344046367:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.30/1.12 % (2623367)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1394883567:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.30/1.12 % (2623368)dis+10_1_sil=32000:sp=arity:random_seed=2287015626:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.30/1.12 % (2623369)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3064955384:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.30/1.12 % (2623371)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3384428528:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.30/1.12 % TRYING [1]
% 4.30/1.12 % TRYING [2]
% 4.30/1.12 % TRYING [3]
% 4.30/1.12 % TRYING [4]
% 4.30/1.12 % TRYING [5]
% 4.30/1.12 % (2623370)Instruction limit reached!
% 4.30/1.12 % (2623370)------------------------------
% 4.30/1.12 % (2623370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.30/1.12 % (2623370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.30/1.12 % (2623370)CaDiCaL version: 2.1.3
% 4.30/1.12 % (2623370)Termination reason: Instruction limit
% 4.30/1.12 % (2623370)Termination phase: Saturation
% 4.30/1.12 % (2623370)Time elapsed: 0.043 s
% 4.30/1.12 % (2623370)Peak memory usage: 13 MB
% 4.30/1.12 % (2623370)Instructions burned: 131 (million)
% 4.30/1.12 % (2623379)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3879376375:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.30/1.12 % TRYING [1]
% 4.30/1.12 % TRYING [2]
% 4.30/1.12 % TRYING [3]
% 4.30/1.12 % TRYING [4]
% 4.30/1.12 % (2623368)Instruction limit reached!
% 4.30/1.12 % (2623368)------------------------------
% 4.30/1.12 % (2623368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.30/1.12 % (2623368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.30/1.12 % (2623368)CaDiCaL version: 2.1.3
% 4.30/1.12 % (2623368)Termination reason: Instruction limit
% 4.30/1.12 % (2623368)Termination phase: Saturation
% 4.30/1.12 % (2623368)Time elapsed: 0.064 s
% 4.30/1.12 % (2623368)Peak memory usage: 12 MB
% 4.30/1.12 % (2623368)Instructions burned: 104 (million)
% 4.30/1.12 % TRYING [5]
% 4.30/1.12 % (2623369)Instruction limit reached!
% 4.30/1.12 % (2623369)------------------------------
% 4.30/1.12 % (2623369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.30/1.12 % (2623369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.30/1.12 % (2623369)CaDiCaL version: 2.1.3
% 4.30/1.12 % (2623369)Termination reason: Instruction limit
% 4.30/1.12 % (2623369)Termination phase: Saturation
% 4.30/1.12 % (2623369)Time elapsed: 0.073 s
% 4.30/1.12 % (2623369)Peak memory usage: 13 MB
% 4.30/1.12 % (2623369)Instructions burned: 116 (million)
% 4.30/1.12 % TRYING [6]
% 4.30/1.12 % (2623381)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1199371031:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.30/1.12 % (2623382)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=2584412096:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.30/1.12 % TRYING [6]
% 4.30/1.12 % (2623371)Instruction limit reached!
% 4.30/1.12 % (2623371)------------------------------
% 4.30/1.12 % (2623371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.30/1.12 % (2623371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.30/1.12 % (2623371)CaDiCaL version: 2.1.3
% 4.30/1.12 % (2623371)Termination reason: Instruction limit
% 4.30/1.12 % (2623371)Termination phase: Saturation
% 4.30/1.12 % (2623371)Time elapsed: 0.101 s
% 4.30/1.12 % (2623371)Peak memory usage: 13 MB
% 4.30/1.12 % (2623371)Instructions burned: 160 (million)
% 4.30/1.12 % (2623385)ott-21_1_sil=16000:fs=off:random_seed=2169348790:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.30/1.12 % (2623381)Instruction limit reached!
% 4.30/1.12 % (2623381)------------------------------
% 4.30/1.12 % (2623381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.30/1.12 % (2623381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.30/1.12 % (2623381)CaDiCaL version: 2.1.3
% 4.30/1.12 % (2623381)Termination reason: Instruction limit
% 4.30/1.12 % (2623381)Termination phase: Saturation
% 4.30/1.12 % (2623381)Time elapsed: 0.091 s
% 4.30/1.12 % (2623381)Peak memory usage: 13 MB
% 4.30/1.12 % (2623381)Instructions burned: 132 (million)
% 4.30/1.12 % (2623385)Instruction limit reached!
% 4.30/1.12 % (2623385)------------------------------
% 4.30/1.12 % (2623385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.30/1.12 % (2623385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.30/1.12 % (2623387)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1413437388:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 4.30/1.12 % (2623385)CaDiCaL version: 2.1.3
% 4.30/1.12 % (2623385)Termination reason: Instruction limit
% 4.30/1.12 % (2623385)Termination phase: Saturation
% 4.30/1.12 % (2623385)Time elapsed: 0.076 s
% 4.30/1.12 % (2623385)Peak memory usage: 12 MB
% 4.30/1.12 % (2623385)Instructions burned: 181 (million)
% 4.30/1.12 % TRYING [7]
% 4.30/1.12 % (2623379)Instruction limit reached!
% 4.30/1.12 % (2623379)------------------------------
% 4.30/1.12 % (2623379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.30/1.12 % (2623379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.30/1.12 % (2623379)CaDiCaL version: 2.1.3
% 4.30/1.12 % (2623379)Termination reason: Instruction limit
% 4.30/1.12 % (2623379)Termination phase: Finite model building constraint generation
% 4.30/1.12 % (2623379)Time elapsed: 0.163 s
% 4.30/1.12 % (2623379)Peak memory usage: 31 MB
% 4.30/1.12 % (2623379)Instructions burned: 718 (million)
% 4.30/1.12 % TRYING [7]
% 4.30/1.12 % (2623389)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1140473166:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.30/1.12 % TRYING [1]
% 4.30/1.12 % TRYING [2]
% 4.30/1.12 % (2623390)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1601593224:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 4.30/1.12 % TRYING [3]
% 4.30/1.12 % TRYING [4]
% 4.30/1.12 % TRYING [5]
% 4.30/1.12 % TRYING [6]
% 4.30/1.12 % TRYING [8]
% 4.30/1.12 % (2623382)Instruction limit reached!
% 4.30/1.12 % (2623382)------------------------------
% 4.30/1.12 % (2623382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.30/1.12 % (2623382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.30/1.12 % (2623382)CaDiCaL version: 2.1.3
% 4.30/1.12 % (2623382)Termination reason: Instruction limit
% 4.30/1.12 % (2623382)Termination phase: Saturation
% 4.30/1.12 % (2623382)Time elapsed: 0.397 s
% 4.30/1.12 % (2623382)Peak memory usage: 18 MB
% 4.30/1.12 % (2623382)Instructions burned: 684 (million)
% 4.30/1.12 % (2623387)Instruction limit reached!
% 4.30/1.12 % (2623387)------------------------------
% 4.30/1.12 % (2623387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.30/1.12 % (2623387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.30/1.12 % (2623387)CaDiCaL version: 2.1.3
% 4.30/1.12 % (2623387)Termination reason: Instruction limit
% 4.30/1.12 % (2623387)Termination phase: Saturation
% 4.30/1.12 % (2623387)Time elapsed: 0.298 s
% 4.30/1.12 % (2623387)Peak memory usage: 15 MB
% 4.30/1.12 % (2623387)Instructions burned: 478 (million)
% 4.30/1.12 % (2623393)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2881533738:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 4.30/1.12 % (2623394)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=2082700672: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)
% 4.30/1.12 % (2623389)Instruction limit reached!
% 4.30/1.12 % (2623389)------------------------------
% 4.30/1.12 % (2623389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.30/1.12 % (2623389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.30/1.12 % (2623389)CaDiCaL version: 2.1.3
% 4.30/1.12 % (2623389)Termination reason: Instruction limit
% 4.30/1.12 % (2623389)Termination phase: Finite model building SAT solving
% 4.30/1.12 % (2623389)Time elapsed: 0.333 s
% 4.30/1.12 % (2623389)Peak memory usage: 26 MB
% 4.30/1.12 % (2623389)Instructions burned: 866 (million)
% 4.30/1.12 % (2623397)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2780293750:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 4.30/1.12 % (2623390)Instruction limit reached!
% 4.30/1.12 % (2623390)------------------------------
% 4.30/1.12 % (2623390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.30/1.12 % (2623390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.30/1.12 % (2623390)CaDiCaL version: 2.1.3
% 4.30/1.12 % (2623390)Termination reason: Instruction limit
% 4.30/1.12 % (2623390)Termination phase: Saturation
% 4.30/1.12 % (2623390)Time elapsed: 0.357 s
% 4.30/1.12 % (2623390)Peak memory usage: 19 MB
% 4.30/1.12 % (2623390)Instructions burned: 1180 (million)
% 4.30/1.12 % (2623399)fmb+10_1_sil=64000:random_seed=1582087529:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 4.30/1.12 % TRYING [1]
% 4.30/1.12 % TRYING [2]
% 4.30/1.12 % TRYING [3]
% 4.30/1.12 % TRYING [4]
% 4.30/1.12 % TRYING [5]
% 4.30/1.12 % TRYING [14]
% 4.30/1.12 % (2623394) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2623360-2623394"...
% 4.30/1.12 % (2623394)...printing done.
% 4.30/1.12 % (2623394)Refutation found. Thanks to Tanya!
% 4.30/1.12 % SZS status Theorem for theBenchmark
% 4.30/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 4.30/1.12 % (2623394)------------------------------
% 4.30/1.12 % (2623394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.30/1.12 % (2623394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.30/1.12 % (2623394)CaDiCaL version: 2.1.3
% 4.30/1.12 % (2623394)Termination reason: Refutation
% 4.30/1.12 % (2623394)Time elapsed: 0.132 s
% 4.30/1.12 % (2623394)Peak memory usage: 14 MB
% 4.30/1.12 % (2623394)Instructions burned: 230 (million)
% 4.30/1.12 % (2623360)Success in time 0.695 s
% 4.30/1.12 % Vampire exiting
%------------------------------------------------------------------------------