TSTP Solution File: KLE133+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE133+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:29:13 EDT 2022
% Result : Theorem 0.16s 0.55s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 13
% Syntax : Number of formulae : 81 ( 72 unt; 0 def)
% Number of atoms : 101 ( 100 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 38 ( 18 ~; 0 |; 15 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 110 ( 100 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f624,plain,
$false,
inference(trivial_inequality_removal,[],[f623]) ).
fof(f623,plain,
domain_difference(one,domain_difference(one,multiplication(star(sK0),domain_difference(one,domain_difference(one,domain_difference(domain_difference(one,domain_difference(one,sK1)),zero)))))) != domain_difference(one,domain_difference(one,multiplication(star(sK0),domain_difference(one,domain_difference(one,domain_difference(domain_difference(one,domain_difference(one,sK1)),zero)))))),
inference(forward_demodulation,[],[f612,f106]) ).
fof(f106,plain,
! [X1] : addition(zero,X1) = X1,
inference(superposition,[],[f86,f93]) ).
fof(f93,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f86,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
fof(f612,plain,
domain_difference(one,domain_difference(one,multiplication(star(sK0),domain_difference(one,domain_difference(one,domain_difference(domain_difference(one,domain_difference(one,sK1)),zero)))))) != addition(zero,domain_difference(one,domain_difference(one,multiplication(star(sK0),domain_difference(one,domain_difference(one,domain_difference(domain_difference(one,domain_difference(one,sK1)),zero))))))),
inference(backward_demodulation,[],[f265,f601]) ).
fof(f601,plain,
! [X0] : zero = domain_difference(one,domain_difference(one,multiplication(sK0,domain_difference(one,domain_difference(one,domain_difference(one,domain_difference(one,X0))))))),
inference(forward_demodulation,[],[f600,f86]) ).
fof(f600,plain,
! [X0] : zero = addition(domain_difference(one,domain_difference(one,multiplication(sK0,domain_difference(one,domain_difference(one,domain_difference(one,domain_difference(one,X0))))))),zero),
inference(forward_demodulation,[],[f599,f132]) ).
fof(f132,plain,
! [X0] : zero = domain_difference(X0,X0),
inference(superposition,[],[f84,f104]) ).
fof(f104,plain,
! [X0,X1] : multiplication(antidomain(antidomain(X0)),antidomain(X1)) = domain_difference(X0,X1),
inference(forward_demodulation,[],[f89,f87]) ).
fof(f87,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3] : antidomain(antidomain(X3)) = domain(X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain4) ).
fof(f89,plain,
! [X0,X1] : multiplication(domain(X0),antidomain(X1)) = domain_difference(X0,X1),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] : multiplication(domain(X0),antidomain(X1)) = domain_difference(X0,X1),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X3,X4] : domain_difference(X3,X4) = multiplication(domain(X3),antidomain(X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_difference) ).
fof(f84,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] : zero = multiplication(antidomain(X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
fof(f599,plain,
! [X0] : addition(domain_difference(one,domain_difference(one,multiplication(sK0,domain_difference(one,domain_difference(one,domain_difference(one,domain_difference(one,X0))))))),domain_difference(one,one)) = domain_difference(one,one),
inference(forward_demodulation,[],[f598,f224]) ).
fof(f224,plain,
one = domain_difference(one,zero),
inference(backward_demodulation,[],[f195,f200]) ).
fof(f200,plain,
! [X2] : domain_difference(one,X2) = antidomain(X2),
inference(forward_demodulation,[],[f197,f70]) ).
fof(f70,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f197,plain,
! [X2] : domain_difference(one,X2) = multiplication(one,antidomain(X2)),
inference(backward_demodulation,[],[f193,f195]) ).
fof(f193,plain,
! [X2] : domain_difference(one,X2) = multiplication(antidomain(zero),antidomain(X2)),
inference(superposition,[],[f104,f133]) ).
fof(f133,plain,
zero = antidomain(one),
inference(superposition,[],[f84,f95]) ).
fof(f95,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f195,plain,
one = antidomain(zero),
inference(forward_demodulation,[],[f190,f86]) ).
fof(f190,plain,
one = addition(antidomain(zero),zero),
inference(superposition,[],[f71,f133]) ).
fof(f71,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : one = addition(antidomain(antidomain(X3)),antidomain(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain3) ).
fof(f598,plain,
! [X0] : addition(domain_difference(one,domain_difference(one,multiplication(sK0,domain_difference(one,domain_difference(one,domain_difference(one,domain_difference(one,X0))))))),domain_difference(one,domain_difference(one,zero))) = domain_difference(one,domain_difference(one,zero)),
inference(forward_demodulation,[],[f597,f66]) ).
fof(f66,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] : zero = multiplication(X0,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_annihilation) ).
fof(f597,plain,
! [X0] : domain_difference(one,domain_difference(one,multiplication(star(sK0),zero))) = addition(domain_difference(one,domain_difference(one,multiplication(sK0,domain_difference(one,domain_difference(one,domain_difference(one,domain_difference(one,X0))))))),domain_difference(one,domain_difference(one,multiplication(star(sK0),zero)))),
inference(forward_demodulation,[],[f596,f132]) ).
fof(f596,plain,
! [X0] : addition(domain_difference(one,domain_difference(one,multiplication(sK0,domain_difference(one,domain_difference(one,domain_difference(one,domain_difference(one,X0))))))),domain_difference(one,domain_difference(one,multiplication(star(sK0),domain_difference(one,one))))) = domain_difference(one,domain_difference(one,multiplication(star(sK0),domain_difference(one,one)))),
inference(forward_demodulation,[],[f595,f224]) ).
fof(f595,plain,
! [X0] : addition(domain_difference(one,domain_difference(one,multiplication(sK0,domain_difference(one,domain_difference(one,domain_difference(one,domain_difference(one,X0))))))),domain_difference(one,domain_difference(one,multiplication(star(sK0),domain_difference(one,domain_difference(one,zero)))))) = domain_difference(one,domain_difference(one,multiplication(star(sK0),domain_difference(one,domain_difference(one,zero))))),
inference(forward_demodulation,[],[f590,f132]) ).
fof(f590,plain,
! [X0] : addition(domain_difference(one,domain_difference(one,multiplication(sK0,domain_difference(one,domain_difference(one,domain_difference(one,domain_difference(one,X0))))))),domain_difference(one,domain_difference(one,multiplication(star(sK0),domain_difference(one,domain_difference(one,domain_difference(domain_difference(one,domain_difference(one,multiplication(sK0,domain_difference(one,domain_difference(one,domain_difference(one,domain_difference(one,X0))))))),domain_difference(one,domain_difference(one,multiplication(sK0,domain_difference(one,domain_difference(one,domain_difference(one,domain_difference(one,X0)))))))))))))) = domain_difference(one,domain_difference(one,multiplication(star(sK0),domain_difference(one,domain_difference(one,domain_difference(domain_difference(one,domain_difference(one,multiplication(sK0,domain_difference(one,domain_difference(one,domain_difference(one,domain_difference(one,X0))))))),domain_difference(one,domain_difference(one,multiplication(sK0,domain_difference(one,domain_difference(one,domain_difference(one,domain_difference(one,X0))))))))))))),
inference(superposition,[],[f255,f254]) ).
fof(f254,plain,
! [X1] : domain_difference(one,domain_difference(one,multiplication(sK0,domain_difference(one,domain_difference(one,domain_difference(one,domain_difference(one,X1))))))) = domain_difference(one,domain_difference(one,multiplication(sK0,domain_difference(one,domain_difference(one,domain_difference(one,domain_difference(one,multiplication(sK0,domain_difference(one,domain_difference(one,domain_difference(one,domain_difference(one,X1)))))))))))),
inference(forward_demodulation,[],[f253,f246]) ).
fof(f246,plain,
! [X0,X1] : domain_difference(one,domain_difference(one,multiplication(X1,domain_difference(one,domain_difference(one,X0))))) = forward_diamond(X1,X0),
inference(forward_demodulation,[],[f245,f200]) ).
fof(f245,plain,
! [X0,X1] : domain_difference(one,domain_difference(one,multiplication(X1,antidomain(domain_difference(one,X0))))) = forward_diamond(X1,X0),
inference(forward_demodulation,[],[f244,f200]) ).
fof(f244,plain,
! [X0,X1] : domain_difference(one,antidomain(multiplication(X1,antidomain(domain_difference(one,X0))))) = forward_diamond(X1,X0),
inference(forward_demodulation,[],[f206,f200]) ).
fof(f206,plain,
! [X0,X1] : forward_diamond(X1,X0) = antidomain(antidomain(multiplication(X1,antidomain(domain_difference(one,X0))))),
inference(backward_demodulation,[],[f98,f200]) ).
fof(f98,plain,
! [X0,X1] : forward_diamond(X1,X0) = antidomain(antidomain(multiplication(X1,antidomain(antidomain(X0))))),
inference(forward_demodulation,[],[f97,f87]) ).
fof(f97,plain,
! [X0,X1] : antidomain(antidomain(multiplication(X1,domain(X0)))) = forward_diamond(X1,X0),
inference(forward_demodulation,[],[f79,f87]) ).
fof(f79,plain,
! [X0,X1] : domain(multiplication(X1,domain(X0))) = forward_diamond(X1,X0),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] : domain(multiplication(X1,domain(X0))) = forward_diamond(X1,X0),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X1,X0] : domain(multiplication(X0,domain(X1))) = forward_diamond(X0,X1),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X3,X4] : forward_diamond(X3,X4) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',forward_diamond) ).
fof(f253,plain,
! [X1] : domain_difference(one,domain_difference(one,multiplication(sK0,domain_difference(one,domain_difference(one,forward_diamond(sK0,domain_difference(one,domain_difference(one,X1)))))))) = forward_diamond(sK0,domain_difference(one,domain_difference(one,X1))),
inference(backward_demodulation,[],[f236,f246]) ).
fof(f236,plain,
! [X1] : forward_diamond(sK0,forward_diamond(sK0,domain_difference(one,domain_difference(one,X1)))) = forward_diamond(sK0,domain_difference(one,domain_difference(one,X1))),
inference(forward_demodulation,[],[f205,f200]) ).
fof(f205,plain,
! [X1] : forward_diamond(sK0,antidomain(domain_difference(one,X1))) = forward_diamond(sK0,forward_diamond(sK0,antidomain(domain_difference(one,X1)))),
inference(backward_demodulation,[],[f96,f200]) ).
fof(f96,plain,
! [X1] : forward_diamond(sK0,forward_diamond(sK0,antidomain(antidomain(X1)))) = forward_diamond(sK0,antidomain(antidomain(X1))),
inference(forward_demodulation,[],[f69,f87]) ).
fof(f69,plain,
! [X1] : forward_diamond(sK0,domain(X1)) = forward_diamond(sK0,forward_diamond(sK0,domain(X1))),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ! [X1] : forward_diamond(sK0,domain(X1)) = forward_diamond(sK0,forward_diamond(sK0,domain(X1)))
& ! [X2] : addition(domain(X2),forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2))))) = forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2))))
& addition(forward_diamond(sK0,domain(sK1)),forward_diamond(star(sK0),domain_difference(domain(sK1),forward_diamond(sK0,domain(sK1))))) != forward_diamond(star(sK0),domain_difference(domain(sK1),forward_diamond(sK0,domain(sK1)))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f56,f58,f57]) ).
fof(f57,plain,
( ? [X0] :
( ! [X1] : forward_diamond(X0,domain(X1)) = forward_diamond(X0,forward_diamond(X0,domain(X1)))
& ! [X2] : addition(domain(X2),forward_diamond(star(X0),domain_difference(domain(X2),forward_diamond(X0,domain(X2))))) = forward_diamond(star(X0),domain_difference(domain(X2),forward_diamond(X0,domain(X2))))
& ? [X3] : forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3)))) != addition(forward_diamond(X0,domain(X3)),forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3))))) )
=> ( ! [X1] : forward_diamond(sK0,domain(X1)) = forward_diamond(sK0,forward_diamond(sK0,domain(X1)))
& ! [X2] : addition(domain(X2),forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2))))) = forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2))))
& ? [X3] : addition(forward_diamond(sK0,domain(X3)),forward_diamond(star(sK0),domain_difference(domain(X3),forward_diamond(sK0,domain(X3))))) != forward_diamond(star(sK0),domain_difference(domain(X3),forward_diamond(sK0,domain(X3)))) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
( ? [X3] : addition(forward_diamond(sK0,domain(X3)),forward_diamond(star(sK0),domain_difference(domain(X3),forward_diamond(sK0,domain(X3))))) != forward_diamond(star(sK0),domain_difference(domain(X3),forward_diamond(sK0,domain(X3))))
=> addition(forward_diamond(sK0,domain(sK1)),forward_diamond(star(sK0),domain_difference(domain(sK1),forward_diamond(sK0,domain(sK1))))) != forward_diamond(star(sK0),domain_difference(domain(sK1),forward_diamond(sK0,domain(sK1)))) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
? [X0] :
( ! [X1] : forward_diamond(X0,domain(X1)) = forward_diamond(X0,forward_diamond(X0,domain(X1)))
& ! [X2] : addition(domain(X2),forward_diamond(star(X0),domain_difference(domain(X2),forward_diamond(X0,domain(X2))))) = forward_diamond(star(X0),domain_difference(domain(X2),forward_diamond(X0,domain(X2))))
& ? [X3] : forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3)))) != addition(forward_diamond(X0,domain(X3)),forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3))))) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
? [X0] :
( ! [X2] : forward_diamond(X0,forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2))
& ! [X1] : forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))) = addition(domain(X1),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))))
& ? [X3] : forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3)))) != addition(forward_diamond(X0,domain(X3)),forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3))))) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
? [X0] :
( ? [X3] : forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3)))) != addition(forward_diamond(X0,domain(X3)),forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3)))))
& ! [X2] : forward_diamond(X0,forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2))
& ! [X1] : forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))) = addition(domain(X1),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
~ ! [X0] :
( ( ! [X2] : forward_diamond(X0,forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2))
& ! [X1] : forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))) = addition(domain(X1),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) )
=> ! [X3] : forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3)))) = addition(forward_diamond(X0,domain(X3)),forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3))))) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X3] :
( ( ! [X4] : forward_diamond(star(X3),domain_difference(domain(X4),forward_diamond(X3,domain(X4)))) = addition(domain(X4),forward_diamond(star(X3),domain_difference(domain(X4),forward_diamond(X3,domain(X4)))))
& ! [X5] : forward_diamond(X3,domain(X5)) = forward_diamond(X3,forward_diamond(X3,domain(X5))) )
=> ! [X6] : forward_diamond(star(X3),domain_difference(domain(X6),forward_diamond(X3,domain(X6)))) = addition(forward_diamond(X3,domain(X6)),forward_diamond(star(X3),domain_difference(domain(X6),forward_diamond(X3,domain(X6))))) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X3] :
( ( ! [X4] : forward_diamond(star(X3),domain_difference(domain(X4),forward_diamond(X3,domain(X4)))) = addition(domain(X4),forward_diamond(star(X3),domain_difference(domain(X4),forward_diamond(X3,domain(X4)))))
& ! [X5] : forward_diamond(X3,domain(X5)) = forward_diamond(X3,forward_diamond(X3,domain(X5))) )
=> ! [X6] : forward_diamond(star(X3),domain_difference(domain(X6),forward_diamond(X3,domain(X6)))) = addition(forward_diamond(X3,domain(X6)),forward_diamond(star(X3),domain_difference(domain(X6),forward_diamond(X3,domain(X6))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f255,plain,
! [X2] : addition(domain_difference(one,domain_difference(one,X2)),domain_difference(one,domain_difference(one,multiplication(star(sK0),domain_difference(one,domain_difference(one,domain_difference(domain_difference(one,domain_difference(one,X2)),domain_difference(one,domain_difference(one,multiplication(sK0,domain_difference(one,domain_difference(one,domain_difference(one,domain_difference(one,X2)))))))))))))) = domain_difference(one,domain_difference(one,multiplication(star(sK0),domain_difference(one,domain_difference(one,domain_difference(domain_difference(one,domain_difference(one,X2)),domain_difference(one,domain_difference(one,multiplication(sK0,domain_difference(one,domain_difference(one,domain_difference(one,domain_difference(one,X2))))))))))))),
inference(forward_demodulation,[],[f252,f246]) ).
fof(f252,plain,
! [X2] : domain_difference(one,domain_difference(one,multiplication(star(sK0),domain_difference(one,domain_difference(one,domain_difference(domain_difference(one,domain_difference(one,X2)),forward_diamond(sK0,domain_difference(one,domain_difference(one,X2))))))))) = addition(domain_difference(one,domain_difference(one,X2)),domain_difference(one,domain_difference(one,multiplication(star(sK0),domain_difference(one,domain_difference(one,domain_difference(domain_difference(one,domain_difference(one,X2)),forward_diamond(sK0,domain_difference(one,domain_difference(one,X2)))))))))),
inference(backward_demodulation,[],[f234,f246]) ).
fof(f234,plain,
! [X2] : addition(domain_difference(one,domain_difference(one,X2)),forward_diamond(star(sK0),domain_difference(domain_difference(one,domain_difference(one,X2)),forward_diamond(sK0,domain_difference(one,domain_difference(one,X2)))))) = forward_diamond(star(sK0),domain_difference(domain_difference(one,domain_difference(one,X2)),forward_diamond(sK0,domain_difference(one,domain_difference(one,X2))))),
inference(forward_demodulation,[],[f209,f200]) ).
fof(f209,plain,
! [X2] : forward_diamond(star(sK0),domain_difference(antidomain(domain_difference(one,X2)),forward_diamond(sK0,antidomain(domain_difference(one,X2))))) = addition(antidomain(domain_difference(one,X2)),forward_diamond(star(sK0),domain_difference(antidomain(domain_difference(one,X2)),forward_diamond(sK0,antidomain(domain_difference(one,X2)))))),
inference(backward_demodulation,[],[f105,f200]) ).
fof(f105,plain,
! [X2] : addition(antidomain(antidomain(X2)),forward_diamond(star(sK0),domain_difference(antidomain(antidomain(X2)),forward_diamond(sK0,antidomain(antidomain(X2)))))) = forward_diamond(star(sK0),domain_difference(antidomain(antidomain(X2)),forward_diamond(sK0,antidomain(antidomain(X2))))),
inference(forward_demodulation,[],[f68,f87]) ).
fof(f68,plain,
! [X2] : addition(domain(X2),forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2))))) = forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2)))),
inference(cnf_transformation,[],[f59]) ).
fof(f265,plain,
addition(domain_difference(one,domain_difference(one,multiplication(sK0,domain_difference(one,domain_difference(one,domain_difference(one,domain_difference(one,sK1))))))),domain_difference(one,domain_difference(one,multiplication(star(sK0),domain_difference(one,domain_difference(one,domain_difference(domain_difference(one,domain_difference(one,sK1)),domain_difference(one,domain_difference(one,multiplication(sK0,domain_difference(one,domain_difference(one,domain_difference(one,domain_difference(one,sK1)))))))))))))) != domain_difference(one,domain_difference(one,multiplication(star(sK0),domain_difference(one,domain_difference(one,domain_difference(domain_difference(one,domain_difference(one,sK1)),domain_difference(one,domain_difference(one,multiplication(sK0,domain_difference(one,domain_difference(one,domain_difference(one,domain_difference(one,sK1))))))))))))),
inference(forward_demodulation,[],[f264,f200]) ).
fof(f264,plain,
domain_difference(one,domain_difference(one,multiplication(star(sK0),domain_difference(one,domain_difference(one,domain_difference(domain_difference(one,antidomain(sK1)),domain_difference(one,domain_difference(one,multiplication(sK0,domain_difference(one,domain_difference(one,domain_difference(one,antidomain(sK1))))))))))))) != addition(domain_difference(one,domain_difference(one,multiplication(sK0,domain_difference(one,domain_difference(one,domain_difference(one,antidomain(sK1))))))),domain_difference(one,domain_difference(one,multiplication(star(sK0),domain_difference(one,domain_difference(one,domain_difference(domain_difference(one,antidomain(sK1)),domain_difference(one,domain_difference(one,multiplication(sK0,domain_difference(one,domain_difference(one,domain_difference(one,antidomain(sK1)))))))))))))),
inference(forward_demodulation,[],[f263,f246]) ).
fof(f263,plain,
domain_difference(one,domain_difference(one,multiplication(star(sK0),domain_difference(one,domain_difference(one,domain_difference(domain_difference(one,antidomain(sK1)),forward_diamond(sK0,domain_difference(one,antidomain(sK1))))))))) != addition(forward_diamond(sK0,domain_difference(one,antidomain(sK1))),domain_difference(one,domain_difference(one,multiplication(star(sK0),domain_difference(one,domain_difference(one,domain_difference(domain_difference(one,antidomain(sK1)),forward_diamond(sK0,domain_difference(one,antidomain(sK1)))))))))),
inference(forward_demodulation,[],[f226,f246]) ).
fof(f226,plain,
forward_diamond(star(sK0),domain_difference(domain_difference(one,antidomain(sK1)),forward_diamond(sK0,domain_difference(one,antidomain(sK1))))) != addition(forward_diamond(sK0,domain_difference(one,antidomain(sK1))),forward_diamond(star(sK0),domain_difference(domain_difference(one,antidomain(sK1)),forward_diamond(sK0,domain_difference(one,antidomain(sK1)))))),
inference(backward_demodulation,[],[f99,f200]) ).
fof(f99,plain,
forward_diamond(star(sK0),domain_difference(antidomain(antidomain(sK1)),forward_diamond(sK0,antidomain(antidomain(sK1))))) != addition(forward_diamond(sK0,antidomain(antidomain(sK1))),forward_diamond(star(sK0),domain_difference(antidomain(antidomain(sK1)),forward_diamond(sK0,antidomain(antidomain(sK1)))))),
inference(forward_demodulation,[],[f67,f87]) ).
fof(f67,plain,
addition(forward_diamond(sK0,domain(sK1)),forward_diamond(star(sK0),domain_difference(domain(sK1),forward_diamond(sK0,domain(sK1))))) != forward_diamond(star(sK0),domain_difference(domain(sK1),forward_diamond(sK0,domain(sK1)))),
inference(cnf_transformation,[],[f59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : KLE133+1 : TPTP v8.1.0. Released v4.0.0.
% 0.02/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31 % Computer : n005.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 30 00:25:48 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.16/0.47 % (8552)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.47 % (8558)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.48 % (8560)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.16/0.48 % (8566)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.49 % (8574)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.16/0.49 % (8552)Instruction limit reached!
% 0.16/0.49 % (8552)------------------------------
% 0.16/0.49 % (8552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49 % (8552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49 % (8552)Termination reason: Unknown
% 0.16/0.49 % (8552)Termination phase: Saturation
% 0.16/0.49
% 0.16/0.49 % (8552)Memory used [KB]: 5500
% 0.16/0.49 % (8552)Time elapsed: 0.122 s
% 0.16/0.49 % (8552)Instructions burned: 7 (million)
% 0.16/0.49 % (8552)------------------------------
% 0.16/0.49 % (8552)------------------------------
% 0.16/0.49 % (8568)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.16/0.51 % (8545)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.16/0.51 % (8557)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.51 % (8556)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.51 % (8546)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.51 % (8555)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.52 % (8550)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.16/0.52 % (8570)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.16/0.53 % (8549)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.53 % (8548)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.53 % (8561)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.53 % (8562)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.16/0.53 % (8573)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.53 % (8551)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.53 % (8572)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.16/0.53 % (8553)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.53 % (8571)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.54 % (8553)Instruction limit reached!
% 0.16/0.54 % (8553)------------------------------
% 0.16/0.54 % (8553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.54 % (8553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.54 % (8553)Termination reason: Unknown
% 0.16/0.54 % (8553)Termination phase: Property scanning
% 0.16/0.54
% 0.16/0.54 % (8553)Memory used [KB]: 895
% 0.16/0.54 % (8553)Time elapsed: 0.003 s
% 0.16/0.54 % (8553)Instructions burned: 3 (million)
% 0.16/0.54 % (8553)------------------------------
% 0.16/0.54 % (8553)------------------------------
% 0.16/0.54 % (8574)First to succeed.
% 0.16/0.54 % (8559)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.55 % (8569)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.55 % (8563)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.55 % (8564)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.55 % (8554)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.55 % (8565)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.16/0.55 % (8567)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.16/0.55 % (8574)Refutation found. Thanks to Tanya!
% 0.16/0.55 % SZS status Theorem for theBenchmark
% 0.16/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.55 % (8574)------------------------------
% 0.16/0.55 % (8574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.55 % (8574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.55 % (8574)Termination reason: Refutation
% 0.16/0.55
% 0.16/0.55 % (8574)Memory used [KB]: 6012
% 0.16/0.55 % (8574)Time elapsed: 0.174 s
% 0.16/0.55 % (8574)Instructions burned: 32 (million)
% 0.16/0.55 % (8574)------------------------------
% 0.16/0.55 % (8574)------------------------------
% 0.16/0.55 % (8544)Success in time 0.234 s
%------------------------------------------------------------------------------