%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP119-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n014.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 : Fri Sep 25 01:30:56 PM UTC 2026
% Result : Unsatisfiable 43.09s 7.27s
% Output : CNFRefutation 43.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 68
% Number of leaves : 3
% Syntax : Number of formulae : 231 ( 231 unt; 0 def)
% Number of atoms : 231 ( 230 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 395 ( 0 sgn 395 !; 0 ?; 392 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,X2))),multiply(X2,multiply(X2,X2)))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
multiply(identity,identity) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom2) ).
fof(f3,plain,
identity = multiply(identity,identity),
inference(reorient_equations,[],[f2]) ).
fof(f4,negated_conjecture,
multiply(a,multiply(a,multiply(a,a))) != identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_order4) ).
fof(f5,plain,
identity != multiply(a,multiply(a,multiply(a,a))),
inference(reorient_equations,[],[f4]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,X2))),multiply(X2,multiply(X2,X2)))) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_53,plain,
multiply(identity,identity) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_54,negated_conjecture,
multiply(a,multiply(a,multiply(a,a))) != identity,
inference(cnf_transformation,[],[f5]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1)))) = X0,
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_93,plain,
! [X0: $i] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity)) = identity,
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,identity))),identity)) = X1,
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),X1)),multiply(multiply(multiply(X2,multiply(multiply(X2,X2),multiply(X1,X3))),multiply(X3,multiply(X3,X3))),multiply(multiply(multiply(X2,multiply(multiply(X2,X2),multiply(X1,X3))),multiply(X3,multiply(X3,X3))),multiply(multiply(X2,multiply(multiply(X2,X2),multiply(X1,X3))),multiply(X3,multiply(X3,X3))))))) = X2,
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(multiply(X0,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2)))))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,X2))),
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),identity)),identity),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),identity)),identity),multiply(multiply(X1,multiply(multiply(X1,X1),identity)),identity))))) = X1,
inference(superposition,[status(thm)],[c_93,c_52]) ).
tcf(c_103,plain,
! [X0: $i] : multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),identity)) = multiply(X0,multiply(multiply(X0,identity),multiply(identity,multiply(identity,identity)))),
inference(superposition,[status(thm)],[c_93,c_52]) ).
tcf(c_104,plain,
! [X0: $i] : multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),identity)) = multiply(X0,multiply(multiply(X0,identity),identity)),
inference(light_normalisation,[status(thm)],[c_103,c_53]) ).
tcf(c_109,plain,
! [X0: $i] : multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,identity))),identity)) = X0,
inference(superposition,[status(thm)],[c_53,c_94]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,identity))) = multiply(X0,multiply(multiply(X0,X1),identity)),
inference(superposition,[status(thm)],[c_94,c_94]) ).
tcf(c_128,plain,
! [X0: $i] : multiply(identity,multiply(multiply(identity,X0),identity)) = multiply(identity,multiply(identity,multiply(X0,identity))),
inference(superposition,[status(thm)],[c_109,c_109]) ).
tcf(c_130,plain,
! [X0: $i] : multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity))) = X0,
inference(demodulation,[status(thm)],[c_109,c_128]) ).
tcf(c_134,plain,
! [X0: $i] : multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))) = X0,
inference(demodulation,[status(thm)],[c_130,c_128]) ).
tcf(c_141,plain,
! [X0: $i] : multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(multiply(identity,identity),multiply(X0,identity))),identity),identity))) = multiply(identity,multiply(X0,identity)),
inference(superposition,[status(thm)],[c_94,c_128]) ).
tcf(c_155,plain,
! [X0: $i] : multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(X0,identity))),identity),identity))) = multiply(identity,multiply(X0,identity)),
inference(light_normalisation,[status(thm)],[c_141,c_53]) ).
tcf(c_162,plain,
! [X0: $i] : multiply(identity,multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity))))) = identity,
inference(superposition,[status(thm)],[c_134,c_91]) ).
tcf(c_228,plain,
! [X0: $i] : multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity))) = X0,
inference(superposition,[status(thm)],[c_94,c_155]) ).
tcf(c_238,plain,
! [X0: $i,X1: $i] : multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1))) = multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),
inference(superposition,[status(thm)],[c_91,c_228]) ).
tcf(c_246,plain,
! [X0: $i] : multiply(identity,multiply(X0,multiply(identity,multiply(identity,identity)))) = multiply(multiply(identity,X0),identity),
inference(superposition,[status(thm)],[c_228,c_91]) ).
tcf(c_249,plain,
! [X0: $i] : multiply(multiply(identity,X0),identity) = multiply(identity,multiply(X0,identity)),
inference(light_normalisation,[status(thm)],[c_246,c_53]) ).
tcf(c_271,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),multiply(identity,X2))),multiply(X2,multiply(X2,X2))),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),multiply(identity,X2))),multiply(X2,multiply(X2,X2))),multiply(multiply(X1,multiply(multiply(X1,X1),multiply(identity,X2))),multiply(X2,multiply(X2,X2))))))) = X1,
inference(superposition,[status(thm)],[c_104,c_95]) ).
tcf(c_321,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),X1)),multiply(multiply(multiply(X2,multiply(multiply(X2,X2),identity)),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),identity)),identity),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),identity)),identity),multiply(multiply(X1,multiply(multiply(X1,X1),identity)),identity)))),multiply(multiply(multiply(X2,multiply(multiply(X2,X2),identity)),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),identity)),identity),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),identity)),identity),multiply(multiply(X1,multiply(multiply(X1,X1),identity)),identity)))),multiply(multiply(X2,multiply(multiply(X2,X2),identity)),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),identity)),identity),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),identity)),identity),multiply(multiply(X1,multiply(multiply(X1,X1),identity)),identity)))))))) = X2,
inference(superposition,[status(thm)],[c_93,c_95]) ).
tcf(c_388,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(identity,multiply(X1,identity)))),identity)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_249,c_94]) ).
tcf(c_437,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),X1)),identity)) = multiply(identity,multiply(identity,multiply(multiply(identity,identity),multiply(X1,identity)))),
inference(superposition,[status(thm)],[c_94,c_388]) ).
tcf(c_452,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),X1)),identity)) = multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))),
inference(light_normalisation,[status(thm)],[c_437,c_53]) ).
tcf(c_500,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(multiply(X0,multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity))))),multiply(identity,multiply(identity,identity)))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),X1)),
inference(superposition,[status(thm)],[c_452,c_52]) ).
tcf(c_511,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(multiply(X0,multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity))))),identity)) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),X1)),
inference(light_normalisation,[status(thm)],[c_500,c_53]) ).
tcf(c_535,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),identity)),multiply(identity,multiply(identity,identity)))) = X1,
inference(superposition,[status(thm)],[c_113,c_52]) ).
tcf(c_543,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),identity)),identity)) = X1,
inference(light_normalisation,[status(thm)],[c_535,c_53]) ).
tcf(c_566,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,X2))),multiply(X2,multiply(X2,X2))) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X1,identity)),identity)),
inference(superposition,[status(thm)],[c_52,c_543]) ).
tcf(c_578,plain,
! [X0: $i,X1: $i] : multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(multiply(multiply(X0,X0),multiply(X1,identity)),identity)) = multiply(multiply(X0,multiply(multiply(X0,X1),identity)),identity),
inference(superposition,[status(thm)],[c_543,c_543]) ).
tcf(c_590,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X1,identity)),identity))) = X1,
inference(demodulation,[status(thm)],[c_52,c_566]) ).
tcf(c_654,plain,
! [X0: $i] : multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))) = identity,
inference(superposition,[status(thm)],[c_53,c_590]) ).
tcf(c_655,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,multiply(X1,identity))),identity))) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_249,c_590]) ).
tcf(c_824,plain,
! [X0: $i] : multiply(multiply(identity,X0),multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(multiply(identity,multiply(X0,identity)),identity))) = identity,
inference(superposition,[status(thm)],[c_249,c_654]) ).
tcf(c_848,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity))))),identity))) = multiply(identity,multiply(identity,multiply(multiply(identity,identity),X1))),
inference(superposition,[status(thm)],[c_452,c_655]) ).
tcf(c_862,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity))))),identity))) = multiply(identity,multiply(identity,multiply(identity,X1))),
inference(light_normalisation,[status(thm)],[c_848,c_53]) ).
tcf(c_912,plain,
! [X0: $i] : multiply(multiply(identity,X0),multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(identity,multiply(multiply(X0,identity),identity)))) = identity,
inference(demodulation,[status(thm)],[c_824,c_249]) ).
tcf(c_938,plain,
! [X0: $i] : multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(multiply(multiply(identity,X0),multiply(identity,identity)),identity)) = multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(identity,multiply(multiply(X0,identity),identity))),
inference(superposition,[status(thm)],[c_912,c_543]) ).
tcf(c_946,plain,
! [X0: $i] : multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(multiply(identity,multiply(X0,identity)),identity)) = multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(identity,multiply(multiply(X0,identity),identity))),
inference(light_normalisation,[status(thm)],[c_938,c_53,c_249]) ).
tcf(c_971,plain,
! [X0: $i] : multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))) = multiply(multiply(identity,identity),multiply(multiply(identity,multiply(identity,identity)),identity)),
inference(superposition,[status(thm)],[c_162,c_543]) ).
tcf(c_977,plain,
! [X0: $i] : multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))) = identity,
inference(light_normalisation,[status(thm)],[c_971,c_53]) ).
tcf(c_997,plain,
! [X0: $i] : multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity))) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,identity)),identity)),
inference(superposition,[status(thm)],[c_977,c_543]) ).
tcf(c_1003,plain,
! [X0: $i] : multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity))) = multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),
inference(light_normalisation,[status(thm)],[c_997,c_53]) ).
tcf(c_1144,plain,
! [X0: $i,X1: $i] : multiply(multiply(identity,identity),multiply(multiply(multiply(identity,identity),multiply(identity,identity)),multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1))) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))),
inference(superposition,[status(thm)],[c_238,c_96]) ).
tcf(c_1151,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1))) = X0,
inference(light_normalisation,[status(thm)],[c_1144,c_53,c_134]) ).
tcf(c_1207,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1)) = multiply(multiply(identity,identity),multiply(multiply(identity,multiply(X0,identity)),identity)),
inference(superposition,[status(thm)],[c_1151,c_543]) ).
tcf(c_1216,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1)) = multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity)),
inference(light_normalisation,[status(thm)],[c_1207,c_53]) ).
tcf(c_1341,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),identity)),identity),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),identity)),identity),multiply(multiply(X1,multiply(multiply(X1,X1),identity)),identity)))) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X1,identity)),identity)),
inference(superposition,[status(thm)],[c_102,c_543]) ).
tcf(c_1428,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1)) = multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),
inference(demodulation,[status(thm)],[c_1216,c_249]) ).
tcf(c_1439,plain,
! [X0: $i,X1: $i] : multiply(multiply(identity,identity),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),identity)),identity)) = multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1),
inference(superposition,[status(thm)],[c_1428,c_543]) ).
tcf(c_1456,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),identity)),identity)) = multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1),
inference(light_normalisation,[status(thm)],[c_1439,c_53]) ).
tcf(c_1723,plain,
! [X0: $i] : multiply(identity,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))) = multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(multiply(multiply(identity,X0),multiply(identity,identity)),identity)),
inference(superposition,[status(thm)],[c_912,c_566]) ).
tcf(c_1741,plain,
! [X0: $i] : multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity) = multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),
inference(superposition,[status(thm)],[c_53,c_566]) ).
tcf(c_1747,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,multiply(multiply(X0,X0),multiply(identity,multiply(X1,identity)))),multiply(identity,multiply(identity,identity))) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,multiply(X1,identity))),identity)),
inference(superposition,[status(thm)],[c_249,c_566]) ).
tcf(c_1767,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(multiply(multiply(X0,X0),multiply(X1,multiply(X2,multiply(X2,X2)))),X2))) = multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X1,identity)),identity))),
inference(superposition,[status(thm)],[c_566,c_96]) ).
tcf(c_1775,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,multiply(multiply(X0,X0),multiply(identity,multiply(X1,identity)))),identity) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,multiply(X1,identity))),identity)),
inference(light_normalisation,[status(thm)],[c_1747,c_53]) ).
tcf(c_1780,plain,
! [X0: $i] : multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(identity,multiply(multiply(X0,identity),identity))) = multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))),
inference(light_normalisation,[status(thm)],[c_1723,c_53,c_249,c_946,c_1003]) ).
tcf(c_1781,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(multiply(multiply(X0,X0),multiply(X1,multiply(X2,multiply(X2,X2)))),X2))) = X1,
inference(light_normalisation,[status(thm)],[c_1767,c_590]) ).
tcf(c_2003,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity)))),identity))) = multiply(identity,multiply(X1,multiply(multiply(X1,X1),identity))),
inference(superposition,[status(thm)],[c_1741,c_655]) ).
tcf(c_2015,plain,
! [X0: $i] : multiply(multiply(X0,X0),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))) = X0,
inference(superposition,[status(thm)],[c_1741,c_543]) ).
tcf(c_2046,plain,
! [X0: $i] : multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(multiply(identity,multiply(X0,identity)),identity))) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_249,c_2015]) ).
tcf(c_2055,plain,
! [X0: $i] : multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)))) = multiply(identity,X0),
inference(light_normalisation,[status(thm)],[c_2046,c_946,c_1780]) ).
tcf(c_2234,plain,
! [X0: $i] : multiply(identity,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))),identity)))) = multiply(multiply(identity,X0),multiply(multiply(multiply(identity,X0),multiply(identity,X0)),identity)),
inference(superposition,[status(thm)],[c_2055,c_452]) ).
tcf(c_2615,plain,
! [X0: $i,X1: $i] : multiply(multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(multiply(X0,X0),multiply(X0,X0))),multiply(multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(multiply(multiply(X0,multiply(multiply(X0,X1),identity)),identity),identity)),identity)) = multiply(multiply(multiply(X0,X0),multiply(X1,identity)),identity),
inference(superposition,[status(thm)],[c_578,c_543]) ).
tcf(c_2654,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity))) = multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))),
inference(superposition,[status(thm)],[c_134,c_862]) ).
tcf(c_3201,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(multiply(multiply(X0,X0),multiply(X1,multiply(X2,multiply(X2,X2)))),X2)) = multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(multiply(multiply(X0,X0),multiply(X1,identity)),identity)),
inference(superposition,[status(thm)],[c_1781,c_543]) ).
tcf(c_3211,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(multiply(multiply(X0,X0),multiply(X1,multiply(X2,multiply(X2,X2)))),X2)) = multiply(multiply(X0,multiply(multiply(X0,X1),identity)),identity),
inference(light_normalisation,[status(thm)],[c_3201,c_578]) ).
tcf(c_3645,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,multiply(multiply(X0,X0),multiply(multiply(identity,identity),multiply(multiply(multiply(identity,identity),multiply(identity,identity)),X1)))),identity) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(identity,identity),multiply(multiply(multiply(identity,identity),multiply(identity,identity)),X1))),identity)),
inference(superposition,[status(thm)],[c_511,c_1775]) ).
tcf(c_3693,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,multiply(multiply(X0,X0),multiply(identity,multiply(identity,X1)))),identity) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,multiply(identity,X1))),identity)),
inference(light_normalisation,[status(thm)],[c_3645,c_53]) ).
tcf(c_3830,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,multiply(multiply(X0,X0),X1)),identity) = multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity)),
inference(superposition,[status(thm)],[c_134,c_3693]) ).
tcf(c_3933,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity)),identity)))) = multiply(X0,multiply(multiply(X0,X0),X1)),
inference(superposition,[status(thm)],[c_3830,c_134]) ).
tcf(c_4282,plain,
! [X0: $i,X1: $i] : multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1) = multiply(identity,multiply(multiply(X0,identity),identity)),
inference(demodulation,[status(thm)],[c_1456,c_134,c_249]) ).
tcf(c_4288,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X1,identity)),identity))),X2) = multiply(identity,multiply(multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,X2))),identity),identity)),
inference(superposition,[status(thm)],[c_566,c_4282]) ).
tcf(c_4292,plain,
! [X0: $i,X1: $i] : multiply(multiply(identity,multiply(X0,multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity)))),multiply(multiply(X1,identity),identity)) = multiply(identity,multiply(multiply(X0,identity),identity)),
inference(superposition,[status(thm)],[c_1003,c_4282]) ).
tcf(c_5651,plain,
! [X0: $i] : multiply(multiply(identity,X0),multiply(multiply(multiply(identity,X0),multiply(identity,X0)),identity)) = multiply(identity,multiply(X0,multiply(multiply(X0,X0),identity))),
inference(demodulation,[status(thm)],[c_2003,c_2234,c_2654]) ).
tcf(c_6440,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(multiply(X0,X0),multiply(X0,X0))),multiply(multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(multiply(multiply(X0,multiply(multiply(X0,X1),identity)),identity),identity)),identity)) = multiply(multiply(multiply(X0,X0),multiply(X1,multiply(X2,multiply(X2,X2)))),X2),
inference(superposition,[status(thm)],[c_3211,c_543]) ).
tcf(c_6459,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(multiply(X0,X0),multiply(X1,multiply(X2,multiply(X2,X2)))),X2) = multiply(multiply(multiply(X0,X0),multiply(X1,identity)),identity),
inference(light_normalisation,[status(thm)],[c_6440,c_2615]) ).
tcf(c_6493,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(multiply(X0,X0),multiply(multiply(identity,multiply(identity,multiply(X1,X2))),identity)),identity) = multiply(multiply(multiply(X0,X0),multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity)))),X2),
inference(superposition,[status(thm)],[c_238,c_6459]) ).
tcf(c_6764,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X1,identity)),identity))),X2) = multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X1,X2)),identity)),identity)),
inference(demodulation,[status(thm)],[c_4288,c_3830]) ).
tcf(c_6776,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),X2)),identity)),identity)) = multiply(multiply(identity,X1),X2),
inference(superposition,[status(thm)],[c_543,c_6764]) ).
tcf(c_6804,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,X1)),identity)),identity)) = multiply(multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))),X1),
inference(superposition,[status(thm)],[c_53,c_6764]) ).
tcf(c_7317,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))),identity)),identity)) = multiply(multiply(identity,X0),multiply(multiply(X0,X1),identity)),
inference(superposition,[status(thm)],[c_2654,c_6776]) ).
tcf(c_7332,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity))),identity)),identity)) = multiply(multiply(identity,multiply(multiply(X0,X0),X1)),identity),
inference(superposition,[status(thm)],[c_3830,c_6776]) ).
tcf(c_7454,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,X1),X2))) = multiply(identity,multiply(identity,multiply(multiply(identity,X1),X2))),
inference(superposition,[status(thm)],[c_6776,c_3933]) ).
tcf(c_7472,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))),identity)),identity)) = multiply(multiply(identity,multiply(multiply(X0,X0),X1)),identity),
inference(light_normalisation,[status(thm)],[c_7332,c_2654]) ).
tcf(c_7830,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),X2)),identity)) = multiply(multiply(identity,multiply(identity,multiply(multiply(identity,X1),X2))),identity),
inference(superposition,[status(thm)],[c_7454,c_3830]) ).
tcf(c_8369,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),X2)),identity)) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X1),X2),identity))),
inference(demodulation,[status(thm)],[c_7830,c_249]) ).
tcf(c_8514,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X1),X2),identity)))) = multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X0,X1),X2)),identity))),
inference(superposition,[status(thm)],[c_8369,c_7454]) ).
tcf(c_11118,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X1),X2),identity)))) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X0,X1),X2),identity)))),
inference(demodulation,[status(thm)],[c_8514,c_249]) ).
tcf(c_11163,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X0,identity),X1),identity)))) = multiply(X0,multiply(identity,multiply(identity,multiply(multiply(identity,X1),identity)))),
inference(superposition,[status(thm)],[c_53,c_11118]) ).
tcf(c_11654,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X0,identity),X1),identity)))) = multiply(X0,multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity))))),
inference(demodulation,[status(thm)],[c_11163,c_249]) ).
tcf(c_11718,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X0,identity),X1),identity))),identity)) = multiply(multiply(X0,multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity))))),identity),
inference(superposition,[status(thm)],[c_11654,c_249]) ).
tcf(c_13220,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))),X1))) = multiply(X0,multiply(multiply(X0,X0),multiply(identity,X1))),
inference(superposition,[status(thm)],[c_6804,c_3933]) ).
tcf(c_13532,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(multiply(multiply(X0,X0),identity),multiply(X1,identity))) = multiply(multiply(identity,X0),multiply(multiply(X0,X1),identity)),
inference(demodulation,[status(thm)],[c_7317,c_53,c_249,c_6493]) ).
tcf(c_13969,plain,
! [X0: $i,X1: $i] : multiply(multiply(identity,X0),multiply(multiply(X0,X1),identity)) = multiply(identity,multiply(multiply(multiply(X0,X0),X1),identity)),
inference(demodulation,[status(thm)],[c_7472,c_53,c_249,c_6493,c_13532]) ).
tcf(c_15473,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity))))),identity) = multiply(multiply(X0,identity),X1),
inference(demodulation,[status(thm)],[c_11718,c_134,c_249]) ).
tcf(c_15474,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),X1)) = multiply(X0,multiply(multiply(X0,identity),X1)),
inference(demodulation,[status(thm)],[c_511,c_15473]) ).
tcf(c_15489,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,identity),multiply(X1,identity)) = multiply(multiply(X0,X1),identity),
inference(superposition,[status(thm)],[c_134,c_15473]) ).
tcf(c_15490,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,identity),multiply(multiply(X1,X1),multiply(multiply(X1,X2),identity))) = multiply(multiply(X0,multiply(X1,multiply(multiply(X1,X1),X2))),identity),
inference(superposition,[status(thm)],[c_3933,c_15473]) ).
tcf(c_15585,plain,
! [X0: $i] : multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),multiply(X0,identity)),identity)) = multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),
inference(demodulation,[status(thm)],[c_1003,c_15489]) ).
tcf(c_15671,plain,
! [X0: $i,X1: $i] : multiply(multiply(identity,multiply(X0,identity)),multiply(X1,identity)) = multiply(multiply(multiply(identity,X0),X1),identity),
inference(superposition,[status(thm)],[c_249,c_15489]) ).
tcf(c_15672,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity)),multiply(X2,identity)) = multiply(multiply(multiply(X0,multiply(multiply(X0,X0),X1)),X2),identity),
inference(superposition,[status(thm)],[c_3830,c_15489]) ).
tcf(c_15678,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,identity),multiply(identity,multiply(X1,identity))) = multiply(multiply(X0,multiply(identity,X1)),identity),
inference(superposition,[status(thm)],[c_249,c_15489]) ).
tcf(c_15737,plain,
! [X0: $i,X1: $i] : multiply(multiply(identity,multiply(X0,multiply(multiply(X1,identity),multiply(multiply(X1,X1),identity)))),multiply(X1,identity)) = multiply(identity,multiply(multiply(X0,identity),identity)),
inference(superposition,[status(thm)],[c_15489,c_4282]) ).
tcf(c_15957,plain,
! [X0: $i,X1: $i] : multiply(multiply(identity,multiply(identity,multiply(X0,identity))),multiply(X1,identity)) = multiply(multiply(multiply(identity,multiply(identity,X0)),X1),identity),
inference(superposition,[status(thm)],[c_249,c_15671]) ).
tcf(c_15965,plain,
! [X0: $i,X1: $i] : multiply(multiply(identity,multiply(X0,identity)),multiply(identity,multiply(X1,identity))) = multiply(multiply(multiply(identity,X0),multiply(identity,X1)),identity),
inference(superposition,[status(thm)],[c_249,c_15671]) ).
tcf(c_15995,plain,
! [X0: $i] : multiply(multiply(multiply(identity,X0),multiply(multiply(identity,multiply(X0,identity)),multiply(identity,multiply(X0,identity)))),identity) = multiply(identity,multiply(multiply(X0,identity),multiply(multiply(multiply(X0,identity),multiply(X0,identity)),identity))),
inference(superposition,[status(thm)],[c_15671,c_5651]) ).
tcf(c_16122,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,identity),multiply(identity,multiply(identity,multiply(X1,identity)))) = multiply(multiply(X0,multiply(identity,multiply(identity,X1))),identity),
inference(superposition,[status(thm)],[c_249,c_15678]) ).
tcf(c_16228,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(multiply(multiply(X0,X0),multiply(X1,identity)),identity)) = multiply(multiply(X0,multiply(multiply(X0,identity),multiply(X1,X2))),multiply(X2,multiply(X2,X2))),
inference(superposition,[status(thm)],[c_15474,c_566]) ).
tcf(c_16264,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,multiply(multiply(X0,identity),multiply(X1,X2))),multiply(X2,multiply(X2,X2))) = multiply(multiply(X0,multiply(multiply(X0,X1),identity)),identity),
inference(light_normalisation,[status(thm)],[c_16228,c_578]) ).
tcf(c_16436,plain,
! [X0: $i,X1: $i] : multiply(multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))),X1),identity) = multiply(multiply(X0,multiply(multiply(X0,X0),multiply(identity,identity))),multiply(X1,identity)),
inference(superposition,[status(thm)],[c_13220,c_15957]) ).
tcf(c_16441,plain,
! [X0: $i,X1: $i] : multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),multiply(X1,identity)) = multiply(multiply(multiply(identity,multiply(identity,multiply(identity,X0))),X1),identity),
inference(superposition,[status(thm)],[c_249,c_15957]) ).
tcf(c_16445,plain,
! [X0: $i,X1: $i] : multiply(multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,multiply(identity,multiply(identity,identity)))))),X1),identity) = multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))),multiply(X1,identity)),
inference(superposition,[status(thm)],[c_4282,c_15957]) ).
tcf(c_16493,plain,
! [X0: $i,X1: $i] : multiply(multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),X1),identity) = multiply(X0,multiply(X1,identity)),
inference(light_normalisation,[status(thm)],[c_16445,c_53,c_134]) ).
tcf(c_16494,plain,
! [X0: $i,X1: $i] : multiply(multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))),X1),identity) = multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(X1,identity)),
inference(light_normalisation,[status(thm)],[c_16436,c_53]) ).
tcf(c_16577,plain,
! [X0: $i] : multiply(X0,multiply(multiply(multiply(X0,identity),multiply(multiply(X0,identity),multiply(X0,identity))),identity)) = multiply(multiply(identity,multiply(identity,multiply(multiply(identity,identity),identity))),identity),
inference(superposition,[status(thm)],[c_238,c_16493]) ).
tcf(c_16660,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,multiply(X1,identity)),identity)))) = multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),X1),
inference(superposition,[status(thm)],[c_16493,c_134]) ).
tcf(c_16715,plain,
! [X0: $i] : multiply(X0,multiply(multiply(multiply(X0,identity),multiply(multiply(X0,identity),multiply(X0,identity))),identity)) = identity,
inference(light_normalisation,[status(thm)],[c_16577,c_53]) ).
tcf(c_16757,plain,
! [X0: $i,X1: $i] : multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,X0),identity)))),multiply(X0,X1)) = multiply(X0,multiply(multiply(X0,X0),X1)),
inference(demodulation,[status(thm)],[c_3933,c_16660]) ).
tcf(c_17006,plain,
! [X0: $i] : multiply(X0,multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity)) = identity,
inference(demodulation,[status(thm)],[c_16715,c_15489]) ).
tcf(c_17020,plain,
! [X0: $i] : multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity)),identity)) = multiply(multiply(identity,X0),multiply(identity,identity)),
inference(superposition,[status(thm)],[c_17006,c_13969]) ).
tcf(c_17024,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity)),X1))) = multiply(X0,multiply(multiply(X0,X0),multiply(identity,X1))),
inference(superposition,[status(thm)],[c_17006,c_7454]) ).
tcf(c_17088,plain,
! [X0: $i] : multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity)),identity)) = multiply(identity,multiply(X0,identity)),
inference(light_normalisation,[status(thm)],[c_17020,c_53,c_249]) ).
tcf(c_17226,plain,
! [X0: $i] : multiply(multiply(identity,multiply(X0,identity)),multiply(multiply(multiply(multiply(identity,X0),multiply(identity,X0)),identity),identity)) = multiply(identity,multiply(multiply(X0,identity),multiply(multiply(multiply(X0,identity),multiply(X0,identity)),identity))),
inference(superposition,[status(thm)],[c_15965,c_5651]) ).
tcf(c_17380,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity)))))),identity) = multiply(multiply(X0,identity),multiply(X1,multiply(multiply(X1,X1),multiply(identity,identity)))),
inference(superposition,[status(thm)],[c_13220,c_16122]) ).
tcf(c_17385,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,identity),multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity))))) = multiply(multiply(X0,multiply(identity,multiply(identity,multiply(identity,X1)))),identity),
inference(superposition,[status(thm)],[c_249,c_16122]) ).
tcf(c_17417,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity)))))),identity) = multiply(multiply(X0,identity),multiply(X1,multiply(multiply(X1,X1),identity))),
inference(light_normalisation,[status(thm)],[c_17380,c_53]) ).
tcf(c_18424,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))))),multiply(multiply(X0,identity),X1)) = multiply(multiply(X0,identity),multiply(multiply(multiply(X0,identity),multiply(X0,identity)),X1)),
inference(superposition,[status(thm)],[c_11654,c_16757]) ).
tcf(c_18437,plain,
! [X0: $i] : multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),multiply(identity,X0)),identity)))),multiply(identity,multiply(X0,identity))) = multiply(multiply(identity,X0),multiply(multiply(multiply(identity,X0),multiply(identity,X0)),identity)),
inference(superposition,[status(thm)],[c_249,c_16757]) ).
tcf(c_18569,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,identity),multiply(multiply(multiply(X0,identity),multiply(X0,identity)),X1)) = multiply(multiply(X0,X0),multiply(multiply(X0,identity),X1)),
inference(light_normalisation,[status(thm)],[c_18424,c_134]) ).
tcf(c_18570,plain,
! [X0: $i] : multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),multiply(identity,X0)),identity)))),multiply(identity,multiply(X0,identity))) = multiply(identity,multiply(X0,multiply(multiply(X0,X0),identity))),
inference(light_normalisation,[status(thm)],[c_18437,c_5651]) ).
tcf(c_18837,plain,
! [X0: $i,X1: $i] : multiply(multiply(multiply(X0,X0),multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity)),multiply(X1,identity)) = multiply(multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),X1),identity),
inference(superposition,[status(thm)],[c_17088,c_16493]) ).
tcf(c_18880,plain,
! [X0: $i,X1: $i] : multiply(multiply(multiply(X0,X0),multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity)),multiply(X1,identity)) = multiply(X0,multiply(X1,identity)),
inference(light_normalisation,[status(thm)],[c_18837,c_16493]) ).
tcf(c_18984,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,identity),multiply(multiply(multiply(X0,X0),identity),X1)) = multiply(multiply(X0,X0),multiply(multiply(X0,identity),X1)),
inference(demodulation,[status(thm)],[c_18569,c_15489]) ).
tcf(c_19615,plain,
! [X0: $i] : multiply(multiply(multiply(X0,X0),multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity)),identity) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_53,c_18880]) ).
tcf(c_19997,plain,
! [X0: $i] : multiply(multiply(X0,X0),multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity)) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))),
inference(superposition,[status(thm)],[c_19615,c_134]) ).
tcf(c_20012,plain,
! [X0: $i] : multiply(multiply(X0,X0),multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity)) = X0,
inference(light_normalisation,[status(thm)],[c_19997,c_134]) ).
tcf(c_20113,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity)),X1))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X0,X1))),
inference(superposition,[status(thm)],[c_20012,c_7454]) ).
tcf(c_20133,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X0,X1))) = multiply(X0,multiply(multiply(X0,X0),multiply(identity,X1))),
inference(light_normalisation,[status(thm)],[c_20113,c_17024]) ).
tcf(c_20158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity)),multiply(multiply(X2,X2),multiply(multiply(X2,X3),identity))) = multiply(multiply(multiply(X0,multiply(multiply(X0,X0),X1)),multiply(X2,multiply(multiply(X2,X2),X3))),identity),
inference(superposition,[status(thm)],[c_3830,c_15490]) ).
tcf(c_20663,plain,
! [X0: $i] : multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity) = multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),
inference(demodulation,[status(thm)],[c_15585,c_15489]) ).
tcf(c_20691,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity)))))),identity) = multiply(multiply(X0,identity),multiply(multiply(X1,multiply(X1,X1)),identity)),
inference(superposition,[status(thm)],[c_20663,c_15473]) ).
tcf(c_20696,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X1,X1),multiply(multiply(X1,X2),identity))) = multiply(multiply(multiply(multiply(X0,multiply(X0,X0)),identity),multiply(X1,multiply(multiply(X1,X1),X2))),identity),
inference(superposition,[status(thm)],[c_20663,c_15490]) ).
tcf(c_20704,plain,
! [X0: $i,X1: $i] : multiply(multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))),X1),identity) = multiply(multiply(multiply(X0,multiply(X0,X0)),identity),multiply(X1,identity)),
inference(superposition,[status(thm)],[c_20663,c_16493]) ).
tcf(c_20744,plain,
! [X0: $i] : multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))) = multiply(X0,multiply(X0,X0)),
inference(superposition,[status(thm)],[c_20663,c_134]) ).
tcf(c_20765,plain,
! [X0: $i,X1: $i] : multiply(multiply(multiply(X0,multiply(X0,X0)),identity),multiply(X1,identity)) = multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(X1,identity)),
inference(light_normalisation,[status(thm)],[c_20704,c_16494]) ).
tcf(c_20766,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,identity),multiply(multiply(X1,multiply(X1,X1)),identity)) = multiply(multiply(X0,identity),multiply(X1,multiply(multiply(X1,X1),identity))),
inference(light_normalisation,[status(thm)],[c_20691,c_17417]) ).
tcf(c_21347,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(X1,identity)) = multiply(multiply(multiply(X0,multiply(X0,X0)),X1),identity),
inference(demodulation,[status(thm)],[c_20765,c_15489]) ).
tcf(c_21371,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(identity,multiply(X1,identity))) = multiply(multiply(multiply(X0,multiply(X0,X0)),multiply(identity,X1)),identity),
inference(superposition,[status(thm)],[c_249,c_21347]) ).
tcf(c_21490,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,identity),multiply(X1,multiply(multiply(X1,X1),identity))) = multiply(multiply(X0,multiply(X1,multiply(X1,X1))),identity),
inference(demodulation,[status(thm)],[c_20766,c_15489]) ).
tcf(c_21493,plain,
! [X0: $i] : multiply(multiply(identity,multiply(X0,multiply(X0,X0))),identity) = multiply(identity,multiply(X0,multiply(multiply(X0,X0),identity))),
inference(superposition,[status(thm)],[c_53,c_21490]) ).
tcf(c_21510,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,multiply(multiply(X1,multiply(multiply(X1,X1),identity)),multiply(multiply(X1,multiply(multiply(X1,X1),identity)),multiply(X1,multiply(multiply(X1,X1),identity))))),identity) = multiply(multiply(X0,identity),multiply(multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(multiply(X1,X1),identity)),multiply(X1,multiply(multiply(X1,X1),identity)))),identity)),
inference(superposition,[status(thm)],[c_21347,c_21490]) ).
tcf(c_21827,plain,
! [X0: $i] : multiply(identity,multiply(multiply(X0,multiply(X0,X0)),identity)) = multiply(identity,multiply(X0,multiply(multiply(X0,X0),identity))),
inference(demodulation,[status(thm)],[c_21493,c_249]) ).
tcf(c_21846,plain,
! [X0: $i] : multiply(multiply(identity,multiply(identity,multiply(X0,multiply(multiply(X0,X0),identity)))),multiply(identity,multiply(identity,identity))) = multiply(identity,multiply(identity,multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity))),
inference(superposition,[status(thm)],[c_21827,c_238]) ).
tcf(c_21889,plain,
! [X0: $i] : multiply(multiply(identity,multiply(identity,multiply(X0,multiply(multiply(X0,X0),identity)))),identity) = multiply(identity,multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)))),
inference(light_normalisation,[status(thm)],[c_21846,c_53,c_20663]) ).
tcf(c_22646,plain,
! [X0: $i,X1: $i] : multiply(multiply(identity,multiply(X0,multiply(multiply(X1,multiply(X1,X1)),identity))),multiply(X1,identity)) = multiply(identity,multiply(multiply(X0,identity),identity)),
inference(demodulation,[status(thm)],[c_15737,c_15489]) ).
tcf(c_23857,plain,
! [X0: $i,X1: $i] : multiply(multiply(multiply(multiply(identity,multiply(identity,multiply(identity,X0))),X1),identity),identity) = multiply(X0,multiply(multiply(X1,identity),identity)),
inference(superposition,[status(thm)],[c_16441,c_16493]) ).
tcf(c_23858,plain,
! [X0: $i] : multiply(multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,X0)))),X0),identity) = multiply(X0,multiply(multiply(X0,X0),identity)),
inference(superposition,[status(thm)],[c_16441,c_16757]) ).
tcf(c_23986,plain,
! [X0: $i,X1: $i] : multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X1,identity),identity)) = multiply(multiply(multiply(multiply(X0,multiply(X0,X0)),X1),identity),identity),
inference(superposition,[status(thm)],[c_20744,c_23857]) ).
tcf(c_24090,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(identity,multiply(identity,multiply(X0,multiply(multiply(X1,identity),identity))))) = multiply(multiply(identity,multiply(identity,multiply(identity,X0))),X1),
inference(superposition,[status(thm)],[c_23857,c_134]) ).
tcf(c_24158,plain,
! [X0: $i] : multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,X0)))),X0) = multiply(X0,multiply(X0,X0)),
inference(demodulation,[status(thm)],[c_20744,c_24090]) ).
tcf(c_24302,plain,
! [X0: $i] : multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),multiply(identity,X0)),identity)))),multiply(identity,multiply(X0,identity))) = multiply(multiply(identity,multiply(X0,identity)),multiply(multiply(multiply(identity,X0),multiply(identity,X0)),identity)),
inference(superposition,[status(thm)],[c_15965,c_24158]) ).
tcf(c_24432,plain,
! [X0: $i] : multiply(multiply(identity,multiply(X0,identity)),multiply(multiply(multiply(identity,X0),multiply(identity,X0)),identity)) = multiply(identity,multiply(X0,multiply(multiply(X0,X0),identity))),
inference(light_normalisation,[status(thm)],[c_24302,c_18570]) ).
tcf(c_24498,plain,
! [X0: $i] : multiply(multiply(X0,multiply(X0,X0)),identity) = multiply(X0,multiply(multiply(X0,X0),identity)),
inference(light_normalisation,[status(thm)],[c_23858,c_24158]) ).
tcf(c_24501,plain,
! [X0: $i,X1: $i] : multiply(multiply(identity,multiply(X0,multiply(X1,multiply(multiply(X1,X1),identity)))),multiply(X1,identity)) = multiply(identity,multiply(multiply(X0,identity),identity)),
inference(demodulation,[status(thm)],[c_22646,c_24498]) ).
tcf(c_24515,plain,
! [X0: $i] : multiply(multiply(multiply(identity,multiply(X0,identity)),multiply(multiply(multiply(identity,X0),multiply(identity,X0)),identity)),identity) = multiply(multiply(identity,multiply(X0,identity)),multiply(multiply(multiply(multiply(identity,X0),multiply(identity,X0)),identity),identity)),
inference(superposition,[status(thm)],[c_15965,c_24498]) ).
tcf(c_24528,plain,
! [X0: $i] : multiply(multiply(identity,multiply(identity,multiply(X0,multiply(multiply(X0,X0),identity)))),multiply(identity,multiply(identity,identity))) = multiply(identity,multiply(identity,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity))),
inference(superposition,[status(thm)],[c_24498,c_238]) ).
tcf(c_24546,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(X1,multiply(multiply(X1,X1),identity))) = multiply(multiply(multiply(X0,multiply(X0,X0)),multiply(X1,multiply(X1,X1))),identity),
inference(superposition,[status(thm)],[c_24498,c_21490]) ).
tcf(c_24609,plain,
! [X0: $i] : multiply(identity,multiply(identity,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity))) = multiply(identity,multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)))),
inference(light_normalisation,[status(thm)],[c_24528,c_53,c_21889]) ).
tcf(c_24612,plain,
! [X0: $i] : multiply(identity,multiply(multiply(X0,identity),multiply(multiply(multiply(X0,identity),multiply(X0,identity)),identity))) = multiply(multiply(identity,multiply(X0,multiply(multiply(X0,X0),identity))),identity),
inference(light_normalisation,[status(thm)],[c_24515,c_17226,c_24432]) ).
tcf(c_24691,plain,
! [X0: $i,X1: $i] : multiply(multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(X0,multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity))))))),X1) = multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))))),
inference(superposition,[status(thm)],[c_4292,c_24090]) ).
tcf(c_24697,plain,
! [X0: $i] : multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))) = multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),multiply(X0,X0)),
inference(superposition,[status(thm)],[c_18984,c_24090]) ).
tcf(c_24788,plain,
! [X0: $i,X1: $i] : multiply(multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(X0,multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity))))))),X1) = multiply(identity,X0),
inference(light_normalisation,[status(thm)],[c_24691,c_134]) ).
tcf(c_25025,plain,
! [X0: $i] : multiply(multiply(identity,multiply(identity,multiply(multiply(identity,X0),multiply(multiply(multiply(identity,X0),multiply(identity,X0)),identity)))),multiply(multiply(identity,X0),identity)) = multiply(identity,multiply(multiply(multiply(identity,identity),identity),identity)),
inference(superposition,[status(thm)],[c_7454,c_24501]) ).
tcf(c_25108,plain,
! [X0: $i] : multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,multiply(multiply(X0,X0),identity))))),multiply(identity,multiply(X0,identity))) = identity,
inference(light_normalisation,[status(thm)],[c_25025,c_53,c_249,c_5651]) ).
tcf(c_25236,plain,
! [X0: $i] : multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(multiply(multiply(identity,multiply(X0,identity)),identity),identity)) = multiply(multiply(identity,identity),identity),
inference(superposition,[status(thm)],[c_25108,c_23857]) ).
tcf(c_25241,plain,
! [X0: $i] : multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(multiply(multiply(identity,multiply(X0,identity)),identity),identity)) = identity,
inference(light_normalisation,[status(thm)],[c_25236,c_53]) ).
tcf(c_25316,plain,
! [X0: $i] : multiply(multiply(multiply(X0,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity))),identity) = identity,
inference(demodulation,[status(thm)],[c_25241,c_249,c_21347]) ).
tcf(c_25405,plain,
! [X0: $i] : multiply(multiply(X0,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity))) = multiply(identity,multiply(identity,multiply(identity,multiply(identity,identity)))),
inference(superposition,[status(thm)],[c_25316,c_134]) ).
tcf(c_25416,plain,
! [X0: $i] : multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))),identity)) = multiply(identity,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),identity))),
inference(superposition,[status(thm)],[c_25316,c_7454]) ).
tcf(c_25423,plain,
! [X0: $i] : multiply(multiply(X0,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity))) = identity,
inference(light_normalisation,[status(thm)],[c_25405,c_53]) ).
tcf(c_25616,plain,
! [X0: $i] : multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity))))) = multiply(X0,multiply(multiply(X0,X0),identity)),
inference(superposition,[status(thm)],[c_25423,c_7454]) ).
tcf(c_28195,plain,
! [X0: $i,X1: $i] : multiply(multiply(multiply(X0,multiply(identity,multiply(identity,multiply(identity,X1)))),identity),identity) = multiply(multiply(multiply(X0,identity),identity),X1),
inference(superposition,[status(thm)],[c_17385,c_15473]) ).
tcf(c_28577,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X0,identity),identity),X1)))) = multiply(X0,multiply(identity,multiply(identity,multiply(identity,X1)))),
inference(superposition,[status(thm)],[c_28195,c_134]) ).
tcf(c_29069,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(multiply(X0,X0),multiply(identity,X1))) = multiply(X0,multiply(multiply(X0,identity),multiply(X0,X1))),
inference(demodulation,[status(thm)],[c_20133,c_15474]) ).
tcf(c_29167,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,multiply(multiply(X0,X0),multiply(identity,X1))),multiply(X1,multiply(X1,X1))) = multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity),
inference(superposition,[status(thm)],[c_29069,c_16264]) ).
tcf(c_32787,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,identity),identity)),multiply(identity,multiply(multiply(X1,identity),identity)))) = X1,
inference(demodulation,[status(thm)],[c_271,c_53,c_249,c_3830,c_20696,c_21490,c_23986,c_24498,c_25416,c_28577,c_29167]) ).
tcf(c_32885,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X0,identity),identity)),multiply(identity,multiply(multiply(X1,identity),identity))))) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_32787,c_7454]) ).
tcf(c_32992,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(identity,X0),multiply(identity,X1)),identity),identity))) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_32885,c_15965]) ).
tcf(c_33127,plain,
! [X0: $i,X1: $i] : multiply(multiply(identity,X0),multiply(identity,X1)) = multiply(identity,multiply(X0,X1)),
inference(superposition,[status(thm)],[c_32992,c_134]) ).
tcf(c_33396,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),X1)) = multiply(X0,multiply(identity,X1)),
inference(superposition,[status(thm)],[c_134,c_33127]) ).
tcf(c_33841,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(X0,identity))),X1),identity)) = multiply(X0,multiply(identity,multiply(X1,identity))),
inference(superposition,[status(thm)],[c_15957,c_33396]) ).
tcf(c_33926,plain,
! [X0: $i,X1: $i] : multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,multiply(identity,multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity))))))),X1) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))),
inference(superposition,[status(thm)],[c_33396,c_24788]) ).
tcf(c_33928,plain,
! [X0: $i,X1: $i] : multiply(multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))))),X1) = multiply(identity,multiply(identity,multiply(X0,multiply(identity,multiply(multiply(X1,identity),identity))))),
inference(superposition,[status(thm)],[c_33396,c_24090]) ).
tcf(c_33958,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(identity,multiply(X0,multiply(identity,multiply(multiply(X1,identity),identity))))) = multiply(multiply(identity,multiply(identity,X0)),X1),
inference(light_normalisation,[status(thm)],[c_33928,c_134]) ).
tcf(c_33964,plain,
! [X0: $i,X1: $i] : multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,multiply(identity,multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity))))))),X1) = X0,
inference(light_normalisation,[status(thm)],[c_33926,c_134]) ).
tcf(c_35359,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(multiply(multiply(multiply(identity,multiply(identity,X0)),X1),identity),identity)) = multiply(X0,multiply(identity,multiply(multiply(X1,identity),identity))),
inference(superposition,[status(thm)],[c_15957,c_33841]) ).
tcf(c_35596,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(identity,multiply(multiply(X0,multiply(identity,multiply(X1,identity))),identity))) = multiply(multiply(identity,multiply(identity,multiply(X0,identity))),X1),
inference(superposition,[status(thm)],[c_15678,c_33958]) ).
tcf(c_36721,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),X1)),multiply(multiply(X2,multiply(multiply(X2,X2),multiply(X1,identity))),multiply(multiply(multiply(X2,multiply(multiply(X2,X2),multiply(X1,identity))),multiply(X2,multiply(multiply(X2,X2),multiply(X1,identity)))),identity)))) = X2,
inference(demodulation,[status(thm)],[c_321,c_1341,c_15672,c_20158,c_24498]) ).
tcf(c_36908,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(multiply(X1,multiply(multiply(X1,X1),identity)),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),identity)),multiply(X1,multiply(multiply(X1,X1),identity))),identity)))) = X1,
inference(superposition,[status(thm)],[c_53,c_36721]) ).
tcf(c_37232,plain,
! [X0: $i] : multiply(multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(identity,identity),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))))),X0) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(identity,identity),identity)))),
inference(superposition,[status(thm)],[c_16757,c_33964]) ).
tcf(c_37405,plain,
! [X0: $i] : multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),multiply(X0,X0)))),X0) = identity,
inference(light_normalisation,[status(thm)],[c_37232,c_53,c_24697]) ).
tcf(c_38121,plain,
! [X0: $i] : multiply(multiply(identity,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity))) = multiply(identity,multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity)),
inference(superposition,[status(thm)],[c_24158,c_35359]) ).
tcf(c_38232,plain,
! [X0: $i] : multiply(multiply(identity,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity))) = multiply(identity,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity)),
inference(light_normalisation,[status(thm)],[c_38121,c_24498]) ).
tcf(c_38418,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,multiply(X1,identity))),identity))) = multiply(multiply(identity,multiply(identity,multiply(multiply(identity,X0),identity))),X1),
inference(superposition,[status(thm)],[c_33127,c_35596]) ).
tcf(c_38529,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,multiply(X1,identity))),identity))) = multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),X1),
inference(light_normalisation,[status(thm)],[c_38418,c_249]) ).
tcf(c_39183,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(multiply(multiply(X0,multiply(X0,X0)),multiply(identity,multiply(X1,identity))),identity)) = X1,
inference(demodulation,[status(thm)],[c_36908,c_53,c_249,c_15489,c_16441,c_21510,c_24546,c_25416,c_38529]) ).
tcf(c_39278,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(multiply(multiply(X0,multiply(X0,X0)),X1),identity)) = multiply(multiply(identity,multiply(identity,identity)),multiply(identity,multiply(X1,identity))),
inference(superposition,[status(thm)],[c_39183,c_39183]) ).
tcf(c_39342,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(multiply(multiply(X0,multiply(X0,X0)),X1),identity)) = multiply(identity,multiply(identity,multiply(X1,identity))),
inference(light_normalisation,[status(thm)],[c_39278,c_53]) ).
tcf(c_40353,plain,
! [X0: $i] : multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),multiply(X0,X0)) = multiply(X0,multiply(multiply(X0,X0),identity)),
inference(light_normalisation,[status(thm)],[c_25616,c_24609,c_24697,c_38232]) ).
tcf(c_40354,plain,
! [X0: $i] : multiply(multiply(identity,multiply(identity,multiply(X0,multiply(multiply(X0,X0),identity)))),X0) = identity,
inference(demodulation,[status(thm)],[c_37405,c_40353]) ).
tcf(c_40421,plain,
! [X0: $i] : multiply(multiply(identity,identity),multiply(multiply(identity,multiply(X0,multiply(multiply(X0,X0),identity))),identity)) = multiply(identity,multiply(identity,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity))),
inference(superposition,[status(thm)],[c_40353,c_8369]) ).
tcf(c_40441,plain,
! [X0: $i] : multiply(identity,multiply(multiply(identity,multiply(X0,multiply(multiply(X0,X0),identity))),identity)) = multiply(identity,multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)))),
inference(light_normalisation,[status(thm)],[c_40421,c_53,c_24609]) ).
tcf(c_40694,plain,
! [X0: $i] : multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),multiply(multiply(identity,multiply(X0,identity)),multiply(identity,multiply(X0,identity)))),identity))),multiply(identity,multiply(X0,identity))) = identity,
inference(superposition,[status(thm)],[c_15671,c_40354]) ).
tcf(c_40871,plain,
! [X0: $i] : multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(identity,multiply(X0,identity))) = identity,
inference(light_normalisation,[status(thm)],[c_40694,c_15995,c_24612,c_24697,c_40353,c_40441]) ).
tcf(c_41019,plain,
! [X0: $i] : multiply(multiply(multiply(X0,multiply(X0,X0)),multiply(identity,X0)),identity) = identity,
inference(demodulation,[status(thm)],[c_40871,c_21371]) ).
tcf(c_41157,plain,
! [X0: $i] : multiply(identity,multiply(identity,multiply(multiply(identity,X0),identity))) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_41019,c_39342]) ).
tcf(c_41159,plain,
! [X0: $i] : multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))) = multiply(X0,identity),
inference(light_normalisation,[status(thm)],[c_41157,c_249]) ).
tcf(c_41247,plain,
! [X0: $i] : multiply(multiply(X0,identity),identity) = X0,
inference(demodulation,[status(thm)],[c_134,c_41159]) ).
tcf(c_41689,plain,
! [X0: $i] : multiply(X0,multiply(X0,multiply(X0,X0))) = multiply(identity,multiply(identity,multiply(identity,identity))),
inference(superposition,[status(thm)],[c_41247,c_39342]) ).
tcf(c_41693,plain,
! [X0: $i] : multiply(X0,multiply(X0,multiply(X0,X0))) = identity,
inference(light_normalisation,[status(thm)],[c_41689,c_53]) ).
tcf(c_41712,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_54,c_41693]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP119-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 13:34:33 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.40 Running UEQ theorem proving
% 0.14/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 43.09/7.27 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 43.09/7.27 % SZS status Started for theBenchmark.p
% 43.09/7.27 % SZS status Unsatisfiable for theBenchmark.p
% 43.09/7.27
% 43.09/7.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 43.09/7.27
% 43.09/7.27 % ------ iProver source info
% 43.09/7.27
% 43.09/7.27 % git: date: 2026-07-19 20:42:38 +0200
% 43.09/7.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 43.09/7.27 % git: non_committed_changes: false
% 43.09/7.27
% 43.09/7.27 % ------ Parsing...% successful
% 43.09/7.27
% 43.09/7.27
% 43.09/7.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 43.09/7.27
% 43.09/7.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 43.09/7.27
% 43.09/7.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 43.09/7.27
% 43.09/7.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 43.09/7.27 % ------ Proving...
% 43.09/7.27 % ------ Problem Properties
% 43.09/7.27
% 43.09/7.27 %
% 43.09/7.27 % clauses 3
% 43.09/7.27 % conjectures 1
% 43.09/7.27 % EPR 0
% 43.09/7.27 % Horn 3
% 43.09/7.27 % unary 3
% 43.09/7.27 % binary 0
% 43.09/7.27 % lits 3
% 43.09/7.27 % lits eq 3
% 43.09/7.27 % fd_pure 0
% 43.09/7.27 % fd_pseudo 0
% 43.09/7.27 % fd_cond 0
% 43.09/7.27 % fd_pseudo_cond 0
% 43.09/7.27 % AC symbols 0
% 43.09/7.27
% 43.09/7.27 % ------ Input Options Time Limit: Unbounded
% 43.09/7.27
% 43.09/7.27
% 43.09/7.27 % ------
% 43.09/7.27 % Current options:
% 43.09/7.27 % ------
% 43.09/7.27
% 43.09/7.27
% 43.09/7.27 %
% 43.09/7.27
% 43.09/7.27 % ------ Proving...
% 43.09/7.27 %
% 43.09/7.27
% 43.09/7.27 % SZS status Unsatisfiable for theBenchmark.p
% 43.09/7.27
% 43.09/7.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 43.09/7.27
% 43.09/7.27
%------------------------------------------------------------------------------