%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP476-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n020.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 01:34:21 PM UTC 2026
% Result : Unsatisfiable 8.81s 2.10s
% Output : CNFRefutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 3
% Syntax : Number of formulae : 270 ( 270 unt; 0 def)
% Number of atoms : 1073 ( 269 equ)
% Maximal formula atoms : 1 ( 3 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 2 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 808 ( 0 sgn 808 !; 0 ?; 802 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(divide(X0,X1),X2),divide(X3,X2))),divide(X1,X0)) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f4,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(reorient_equations,[],[f3]) ).
fof(f5,plain,
a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2)),
inference(definition_unfolding,[],[f4,f2,f2]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(inverse(divide(divide(divide(X0,X1),X2),divide(X3,X2))),divide(X1,X0)) = X3,
inference(cnf_transformation,[],[f1]) ).
tcf(c_53,negated_conjecture,
divide(divide(inverse(b2),inverse(b2)),inverse(a2)) != a2,
inference(cnf_transformation,[],[f5]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : divide(inverse(divide(divide(X0,X1),divide(X2,X1))),divide(divide(X3,X4),inverse(divide(divide(divide(X4,X3),X5),divide(X0,X5))))) = X2,
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : divide(inverse(divide(divide(divide(X0,X1),divide(X2,X3)),X4)),divide(X1,X0)) = inverse(divide(divide(divide(X3,X2),X5),divide(X4,X5))),
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : divide(inverse(divide(divide(divide(divide(X0,X1),inverse(divide(divide(divide(X1,X0),X2),divide(X3,X2)))),X4),divide(X5,X4))),X3) = X5,
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(divide(divide(divide(X0,X1),X2),divide(X3,X2))) = iPr_def_10(X0,X1,X3),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_63]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(inverse(divide(divide(divide(X0,X1),divide(X2,X3)),X4)),divide(X1,X0)) = iPr_def_10(X3,X2,X4),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_63]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(inverse(divide(divide(X0,X1),divide(X2,X1))),divide(divide(X3,X4),iPr_def_10(X4,X3,X0))) = X2,
inference(demodulation,[status(thm)],[c_62,c_65]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] : divide(iPr_def_10(X0,X1,X2),divide(X1,X0)) = X2,
inference(demodulation,[status(thm)],[c_52,c_65]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : inverse(divide(divide(divide(X0,X1),divide(X2,X3)),X4)) = iPr_def_10(X0,X1,iPr_def_10(X3,X2,X4)),
inference(superposition,[status(thm)],[c_68,c_65]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(iPr_def_10(X0,X1,X2),divide(X1,X0)) = iPr_def_10(X3,X4,divide(X2,divide(X4,X3))),
inference(superposition,[status(thm)],[c_65,c_66]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : divide(inverse(divide(divide(divide(X0,X1),X2),X3)),divide(X1,X0)) = iPr_def_10(divide(X4,X5),iPr_def_10(X5,X4,X2),X3),
inference(superposition,[status(thm)],[c_68,c_66]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(iPr_def_10(X0,X1,X2),divide(divide(X3,X4),iPr_def_10(X4,X3,divide(X0,X1)))) = X2,
inference(superposition,[status(thm)],[c_65,c_67]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] : divide(inverse(divide(divide(divide(divide(X0,X1),inverse(divide(divide(divide(X1,X0),X2),divide(X3,X2)))),divide(divide(X4,X5),iPr_def_10(X5,X4,X6))),X7)),X3) = inverse(divide(divide(X6,X8),divide(X7,X8))),
inference(superposition,[status(thm)],[c_67,c_64]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : divide(inverse(divide(divide(divide(divide(X0,X1),inverse(divide(divide(divide(X1,X0),X2),divide(X3,X2)))),divide(X4,X5)),X6)),X3) = iPr_def_10(X5,X4,X6),
inference(superposition,[status(thm)],[c_68,c_64]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : iPr_def_10(inverse(divide(divide(divide(divide(X0,X1),inverse(divide(divide(divide(X1,X0),X2),divide(X3,X2)))),X4),divide(X5,X4))),X3,X6) = inverse(divide(divide(X5,X7),divide(X6,X7))),
inference(superposition,[status(thm)],[c_64,c_65]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : iPr_def_10(X0,X1,inverse(divide(divide(divide(divide(X2,X3),inverse(divide(divide(divide(X3,X2),X4),divide(X5,X4)))),X6),divide(X7,X6)))) = inverse(divide(divide(divide(X0,X1),X5),X7)),
inference(superposition,[status(thm)],[c_64,c_65]) ).
tcf(c_152,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_10(X0,X1,divide(X2,divide(X1,X0))) = X2,
inference(demodulation,[status(thm)],[c_89,c_68]) ).
tcf(c_158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : divide(iPr_def_10(divide(X0,X1),inverse(divide(divide(divide(X1,X0),X2),divide(X3,X2))),iPr_def_10(X4,X5,X6)),X3) = iPr_def_10(X4,X5,X6),
inference(demodulation,[status(thm)],[c_138,c_88]) ).
tcf(c_159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : divide(iPr_def_10(divide(X0,X1),iPr_def_10(X1,X0,X2),iPr_def_10(X3,X4,X5)),X2) = iPr_def_10(X3,X4,X5),
inference(demodulation,[status(thm)],[c_158,c_65]) ).
tcf(c_168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : iPr_def_10(X0,X1,iPr_def_10(divide(X2,X3),iPr_def_10(X3,X2,X4),X5)) = inverse(divide(divide(divide(X0,X1),X4),X5)),
inference(demodulation,[status(thm)],[c_144,c_65]) ).
tcf(c_169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : iPr_def_10(iPr_def_10(divide(X0,X1),iPr_def_10(X1,X0,X2),X3),X2,X4) = inverse(divide(divide(X3,X5),divide(X4,X5))),
inference(demodulation,[status(thm)],[c_142,c_65]) ).
tcf(c_177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] : divide(iPr_def_10(divide(X0,X1),inverse(divide(divide(divide(X1,X0),X2),divide(X3,X2))),iPr_def_10(iPr_def_10(X4,X5,X6),divide(X5,X4),X7)),X3) = inverse(divide(divide(X6,X8),divide(X7,X8))),
inference(demodulation,[status(thm)],[c_137,c_88]) ).
tcf(c_178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : divide(iPr_def_10(divide(X0,X1),iPr_def_10(X1,X0,X2),iPr_def_10(iPr_def_10(X3,X4,X5),divide(X4,X3),X6)),X2) = inverse(divide(divide(X5,X7),divide(X6,X7))),
inference(demodulation,[status(thm)],[c_177,c_65]) ).
tcf(c_179,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(divide(divide(X0,X1),divide(X2,X1))) = iPr_def_11(X0,X2),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_178]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : divide(iPr_def_10(divide(X0,X1),iPr_def_10(X1,X0,X2),iPr_def_10(iPr_def_10(X3,X4,X5),divide(X4,X3),X6)),X2) = iPr_def_11(X5,X6),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_178]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_10(iPr_def_10(X0,X1,X2),divide(X1,X0),X3) = iPr_def_11(X2,X3),
inference(demodulation,[status(thm)],[c_180,c_159]) ).
tcf(c_195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(iPr_def_11(X0,X1),divide(divide(X2,X3),iPr_def_10(X3,X2,X0))) = X1,
inference(demodulation,[status(thm)],[c_67,c_179]) ).
tcf(c_196,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(divide(X0,X1),X2) = iPr_def_10(X0,X1,X2),
inference(demodulation,[status(thm)],[c_65,c_179]) ).
tcf(c_244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_10(divide(X0,X1),iPr_def_10(X1,X0,X2),divide(X3,X2)) = X3,
inference(superposition,[status(thm)],[c_68,c_152]) ).
tcf(c_379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_11(X0,divide(X1,divide(divide(X2,X3),iPr_def_10(X3,X2,X0)))) = X1,
inference(superposition,[status(thm)],[c_181,c_152]) ).
tcf(c_414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(X0,divide(divide(X1,X2),iPr_def_10(X2,X1,divide(X3,X4)))) = divide(X0,divide(X4,X3)),
inference(superposition,[status(thm)],[c_152,c_102]) ).
tcf(c_463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : divide(inverse(divide(divide(divide(X0,X1),X2),X3)),divide(divide(X4,X5),iPr_def_10(X5,X4,divide(X0,X1)))) = iPr_def_10(divide(X6,X7),iPr_def_10(X7,X6,X2),X3),
inference(superposition,[status(thm)],[c_168,c_102]) ).
tcf(c_540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : iPr_def_10(X0,iPr_def_10(divide(divide(X1,X2),iPr_def_10(X2,X1,X3)),iPr_def_11(X3,X0),X4),X5) = divide(inverse(divide(divide(divide(X6,X7),X4),X5)),divide(X7,X6)),
inference(superposition,[status(thm)],[c_195,c_93]) ).
tcf(c_541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : iPr_def_10(divide(divide(X0,X1),iPr_def_10(X1,X0,X2)),iPr_def_11(X2,X3),X4) = divide(inverse(divide(divide(divide(X5,X6),X3),X4)),divide(X6,X5)),
inference(superposition,[status(thm)],[c_181,c_93]) ).
tcf(c_545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] : iPr_def_10(divide(X0,iPr_def_10(divide(X1,X2),iPr_def_10(X2,X1,X0),X3)),inverse(divide(divide(X3,X4),divide(X5,X4))),X6) = divide(inverse(divide(divide(divide(X7,X8),X5),X6)),divide(X8,X7)),
inference(superposition,[status(thm)],[c_169,c_93]) ).
tcf(c_569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : divide(divide(inverse(divide(divide(divide(X0,X1),X2),X3)),divide(X1,X0)),divide(divide(X4,X5),iPr_def_10(X5,X4,divide(divide(X6,X7),iPr_def_10(X7,X6,X2))))) = X3,
inference(superposition,[status(thm)],[c_93,c_102]) ).
tcf(c_570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : iPr_def_10(divide(inverse(divide(divide(divide(X0,X1),X2),X3)),divide(X1,X0)),divide(iPr_def_10(X4,X5,X2),divide(X5,X4)),X6) = iPr_def_11(X3,X6),
inference(superposition,[status(thm)],[c_93,c_181]) ).
tcf(c_578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : divide(inverse(divide(divide(divide(X0,X1),X2),X3)),divide(X1,X0)) = divide(inverse(divide(divide(divide(X4,X5),X2),X3)),divide(X5,X4)),
inference(superposition,[status(thm)],[c_93,c_93]) ).
tcf(c_579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : divide(iPr_def_10(X0,X1,X2),divide(divide(iPr_def_10(X3,X4,X5),divide(X4,X3)),divide(inverse(divide(divide(divide(X6,X7),X5),divide(X0,X1))),divide(X7,X6)))) = X2,
inference(superposition,[status(thm)],[c_93,c_102]) ).
tcf(c_580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : divide(iPr_def_11(X0,X1),divide(divide(iPr_def_10(X2,X3,X4),divide(X3,X2)),divide(inverse(divide(divide(divide(X5,X6),X4),X0)),divide(X6,X5)))) = X1,
inference(superposition,[status(thm)],[c_93,c_195]) ).
tcf(c_668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(inverse(divide(divide(divide(X0,X1),X2),X3)),divide(X1,X0)) = iPr_def_12(X2,X3),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_578]) ).
tcf(c_679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : iPr_def_10(iPr_def_12(X0,X1),divide(iPr_def_10(X2,X3,X0),divide(X3,X2)),X4) = iPr_def_11(X1,X4),
inference(demodulation,[status(thm)],[c_570,c_668]) ).
tcf(c_680,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_10(iPr_def_12(X0,X1),X0,X2) = iPr_def_11(X1,X2),
inference(demodulation,[status(thm)],[c_679,c_68]) ).
tcf(c_681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : iPr_def_10(divide(divide(X0,X1),iPr_def_10(X1,X0,X2)),iPr_def_11(X2,X3),X4) = iPr_def_12(X3,X4),
inference(demodulation,[status(thm)],[c_541,c_668]) ).
tcf(c_689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(iPr_def_11(X0,X1),divide(divide(iPr_def_10(X2,X3,X4),divide(X3,X2)),iPr_def_12(X4,X0))) = X1,
inference(demodulation,[status(thm)],[c_580,c_668]) ).
tcf(c_690,plain,
! [X0: $i,X1: $i,X2: $i] : divide(iPr_def_11(X0,X1),divide(X2,iPr_def_12(X2,X0))) = X1,
inference(demodulation,[status(thm)],[c_689,c_68]) ).
tcf(c_706,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_10(X0,iPr_def_12(X0,X1),X2) = iPr_def_12(X1,X2),
inference(demodulation,[status(thm)],[c_540,c_668,c_681]) ).
tcf(c_710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_10(divide(X0,X1),iPr_def_10(X1,X0,X2),X3) = iPr_def_12(X2,X3),
inference(demodulation,[status(thm)],[c_463,c_414,c_668]) ).
tcf(c_712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : divide(iPr_def_10(X0,X1,X2),divide(divide(iPr_def_10(X3,X4,X5),divide(X4,X3)),iPr_def_12(X5,divide(X0,X1)))) = X2,
inference(demodulation,[status(thm)],[c_579,c_668]) ).
tcf(c_713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(iPr_def_10(X0,X1,X2),divide(X3,iPr_def_12(X3,divide(X0,X1)))) = X2,
inference(demodulation,[status(thm)],[c_712,c_68]) ).
tcf(c_714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(iPr_def_12(X0,X1),divide(iPr_def_10(X2,X3,X0),divide(X3,X2))) = X1,
inference(demodulation,[status(thm)],[c_569,c_414,c_668]) ).
tcf(c_715,plain,
! [X0: $i,X1: $i] : divide(iPr_def_12(X0,X1),X0) = X1,
inference(demodulation,[status(thm)],[c_714,c_68]) ).
tcf(c_749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : iPr_def_10(divide(X0,iPr_def_12(X0,X1)),inverse(divide(divide(X1,X2),divide(X3,X2))),X4) = iPr_def_12(X3,X4),
inference(demodulation,[status(thm)],[c_545,c_668,c_710]) ).
tcf(c_750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_10(divide(X0,iPr_def_12(X0,X1)),iPr_def_11(X1,X2),X3) = iPr_def_12(X2,X3),
inference(demodulation,[status(thm)],[c_749,c_179]) ).
tcf(c_1736,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(divide(X0,divide(X1,X2))) = iPr_def_11(iPr_def_12(X2,X0),X1),
inference(superposition,[status(thm)],[c_715,c_179]) ).
tcf(c_1741,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(divide(divide(X0,X1),X2)) = iPr_def_11(X0,iPr_def_12(X1,X2)),
inference(superposition,[status(thm)],[c_715,c_179]) ).
tcf(c_1743,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_12(divide(X0,X1),X2) = iPr_def_10(X1,X0,X2),
inference(superposition,[status(thm)],[c_715,c_152]) ).
tcf(c_1747,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(X0,divide(X1,divide(X2,iPr_def_12(X2,X0)))) = X1,
inference(superposition,[status(thm)],[c_680,c_152]) ).
tcf(c_1748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(iPr_def_11(X0,X1),divide(divide(X2,iPr_def_12(X2,X3)),iPr_def_11(X3,X0))) = X1,
inference(superposition,[status(thm)],[c_680,c_195]) ).
tcf(c_1756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_10(iPr_def_11(X0,X1),divide(X2,iPr_def_12(X2,X0)),X3) = iPr_def_11(X1,X3),
inference(superposition,[status(thm)],[c_690,c_196]) ).
tcf(c_1780,plain,
! [X0: $i,X1: $i] : iPr_def_12(X0,divide(X1,X0)) = X1,
inference(demodulation,[status(thm)],[c_244,c_710]) ).
tcf(c_1834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(X0,divide(X1,iPr_def_12(X1,X2))) = divide(X0,divide(X3,iPr_def_12(X3,X2))),
inference(superposition,[status(thm)],[c_1747,c_690]) ).
tcf(c_1837,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(iPr_def_12(X0,iPr_def_10(X0,X1,X2)),X1) = inverse(X2),
inference(superposition,[status(thm)],[c_68,c_1736]) ).
tcf(c_1839,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(iPr_def_12(iPr_def_12(X0,X1),iPr_def_11(X1,X2)),X0) = inverse(X2),
inference(superposition,[status(thm)],[c_690,c_1736]) ).
tcf(c_1848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_11(iPr_def_11(X0,X1),iPr_def_12(divide(X2,iPr_def_12(X2,X0)),X3)) = inverse(divide(X1,X3)),
inference(superposition,[status(thm)],[c_690,c_1741]) ).
tcf(c_1849,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(iPr_def_12(X0,X1),iPr_def_12(X0,X2)) = inverse(divide(X1,X2)),
inference(superposition,[status(thm)],[c_715,c_1741]) ).
tcf(c_1850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_11(iPr_def_12(X0,divide(X1,X2)),X3) = iPr_def_11(X1,iPr_def_12(X2,divide(X3,X0))),
inference(superposition,[status(thm)],[c_1741,c_1736]) ).
tcf(c_1856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : iPr_def_11(X0,divide(X1,divide(X2,iPr_def_10(divide(X3,iPr_def_12(X3,X4)),iPr_def_11(X4,X2),X0)))) = X1,
inference(superposition,[status(thm)],[c_690,c_379]) ).
tcf(c_1873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(iPr_def_10(iPr_def_10(X0,X1,X2),divide(X1,X0),X3),divide(X4,iPr_def_12(X4,X2))) = X3,
inference(superposition,[status(thm)],[c_68,c_713]) ).
tcf(c_1898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : iPr_def_12(divide(X0,divide(X1,iPr_def_12(X1,X2))),X3) = iPr_def_10(divide(X4,iPr_def_12(X4,X2)),X0,X3),
inference(superposition,[status(thm)],[c_1747,c_750]) ).
tcf(c_1909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : iPr_def_11(divide(X0,divide(X1,iPr_def_12(X1,X2))),X3) = iPr_def_10(X0,divide(X4,iPr_def_12(X4,X2)),X3),
inference(superposition,[status(thm)],[c_1747,c_1756]) ).
tcf(c_1940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_11(iPr_def_12(iPr_def_11(X0,X1),iPr_def_11(X1,X2)),divide(X3,iPr_def_12(X3,X0))) = inverse(X2),
inference(superposition,[status(thm)],[c_1748,c_1736]) ).
tcf(c_2059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(X0,divide(divide(X1,X2),iPr_def_10(X2,X1,X3))) = divide(X0,divide(X4,iPr_def_12(X4,X3))),
inference(superposition,[status(thm)],[c_715,c_414]) ).
tcf(c_2064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : iPr_def_10(divide(divide(X0,X1),iPr_def_10(X1,X0,divide(X2,X3))),X4,X5) = iPr_def_12(divide(X4,divide(X3,X2)),X5),
inference(superposition,[status(thm)],[c_414,c_1743]) ).
tcf(c_2079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : divide(X0,divide(divide(X1,divide(X2,X3)),iPr_def_10(divide(divide(X4,X5),iPr_def_10(X5,X4,divide(X3,X2))),X1,divide(X6,X7)))) = divide(X0,divide(X7,X6)),
inference(superposition,[status(thm)],[c_414,c_414]) ).
tcf(c_2088,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(X1,iPr_def_12(X1,X2))) = iPr_def_13(X0,X2),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_1834]) ).
tcf(c_2090,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(iPr_def_11(X0,X1),iPr_def_11(X0,X2)) = inverse(divide(X1,X2)),
inference(demodulation,[status(thm)],[c_1848,c_680,c_1743]) ).
tcf(c_2094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_13(iPr_def_10(iPr_def_10(X0,X1,X2),divide(X1,X0),X3),X2) = X3,
inference(demodulation,[status(thm)],[c_1873,c_2088]) ).
tcf(c_2095,plain,
! [X0: $i,X1: $i] : iPr_def_13(iPr_def_11(X0,X1),X0) = X1,
inference(demodulation,[status(thm)],[c_2094,c_181]) ).
tcf(c_2096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(X0,divide(divide(X1,X2),iPr_def_10(X2,X1,X3))) = iPr_def_13(X0,X3),
inference(demodulation,[status(thm)],[c_2059,c_2088]) ).
tcf(c_2103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_10(X0,divide(X1,iPr_def_12(X1,X2)),X3) = iPr_def_11(iPr_def_13(X0,X2),X3),
inference(demodulation,[status(thm)],[c_1909,c_2088]) ).
tcf(c_2106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_10(divide(X0,iPr_def_12(X0,X1)),X2,X3) = iPr_def_12(iPr_def_13(X2,X1),X3),
inference(demodulation,[status(thm)],[c_1898,c_2088]) ).
tcf(c_2108,plain,
! [X0: $i,X1: $i] : iPr_def_11(X0,iPr_def_13(X1,X0)) = X1,
inference(demodulation,[status(thm)],[c_1856,c_2088,c_2095,c_2106]) ).
tcf(c_2123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : iPr_def_10(divide(divide(X0,X1),iPr_def_10(X1,X0,divide(X2,X3))),X4,X5) = iPr_def_10(divide(X3,X2),X4,X5),
inference(demodulation,[status(thm)],[c_2064,c_1743]) ).
tcf(c_2145,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(X1,X2)) = iPr_def_13(X0,divide(X2,X1)),
inference(demodulation,[status(thm)],[c_2079,c_2096,c_2123]) ).
tcf(c_2158,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(iPr_def_13(X0,divide(X1,X2))) = iPr_def_11(iPr_def_12(X1,X0),X2),
inference(demodulation,[status(thm)],[c_1736,c_2145]) ).
tcf(c_2159,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_10(X0,X1,iPr_def_13(X2,divide(X0,X1))) = X2,
inference(demodulation,[status(thm)],[c_152,c_2145]) ).
tcf(c_2160,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_13(iPr_def_10(X0,X1,X2),divide(X0,X1)) = X2,
inference(demodulation,[status(thm)],[c_68,c_2145]) ).
tcf(c_2236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_12(X0,iPr_def_13(X1,divide(divide(X2,X3),iPr_def_10(X3,X2,X0)))) = X1,
inference(superposition,[status(thm)],[c_2159,c_710]) ).
tcf(c_2240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_13(iPr_def_12(X0,X1),divide(divide(X2,X3),iPr_def_10(X3,X2,X0))) = X1,
inference(superposition,[status(thm)],[c_710,c_2160]) ).
tcf(c_2252,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_13(inverse(X0),iPr_def_12(X1,iPr_def_10(X1,X2,X0))) = X2,
inference(superposition,[status(thm)],[c_1837,c_2095]) ).
tcf(c_2255,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_13(X0,divide(X1,iPr_def_12(X1,X2))) = divide(X0,X2),
inference(superposition,[status(thm)],[c_715,c_2145]) ).
tcf(c_2280,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_13(inverse(divide(X0,X1)),iPr_def_12(X2,X0)) = iPr_def_12(X2,X1),
inference(superposition,[status(thm)],[c_1849,c_2095]) ).
tcf(c_2288,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(divide(iPr_def_13(X0,X1),X2)) = iPr_def_11(X0,iPr_def_11(X1,X2)),
inference(superposition,[status(thm)],[c_2108,c_2090]) ).
tcf(c_2294,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(divide(X0,iPr_def_13(X1,X2))) = iPr_def_11(iPr_def_11(X2,X0),X1),
inference(superposition,[status(thm)],[c_2108,c_2090]) ).
tcf(c_2297,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_13(inverse(divide(X0,X1)),iPr_def_11(X2,X0)) = iPr_def_11(X2,X1),
inference(superposition,[status(thm)],[c_2090,c_2095]) ).
tcf(c_2302,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(iPr_def_12(iPr_def_12(X0,X1),X2),X0) = inverse(iPr_def_13(X2,X1)),
inference(superposition,[status(thm)],[c_715,c_2158]) ).
tcf(c_2321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_11(iPr_def_13(X0,divide(X1,X2)),X3) = iPr_def_10(X0,divide(X2,X1),X3),
inference(superposition,[status(thm)],[c_1780,c_2103]) ).
tcf(c_2339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_11(iPr_def_12(divide(X0,iPr_def_12(X0,X1)),iPr_def_12(iPr_def_13(X2,X1),X3)),X2) = inverse(X3),
inference(superposition,[status(thm)],[c_2106,c_1837]) ).
tcf(c_2449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : iPr_def_11(iPr_def_12(iPr_def_12(X0,iPr_def_12(iPr_def_11(X1,X2),iPr_def_11(X2,X3))),inverse(X3)),X0) = inverse(divide(X4,iPr_def_12(X4,X1))),
inference(superposition,[status(thm)],[c_1940,c_1839]) ).
tcf(c_2520,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(iPr_def_11(X0,iPr_def_12(iPr_def_13(X1,X0),X2)),X1) = inverse(X2),
inference(demodulation,[status(thm)],[c_2339,c_680,c_1743]) ).
tcf(c_2543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(iPr_def_13(inverse(X0),iPr_def_12(iPr_def_11(X1,X2),iPr_def_11(X2,X0)))) = inverse(divide(X3,iPr_def_12(X3,X1))),
inference(demodulation,[status(thm)],[c_2449,c_2302]) ).
tcf(c_2544,plain,
! [X0: $i,X1: $i] : inverse(divide(X0,iPr_def_12(X0,X1))) = iPr_def_14(X1),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_2543]) ).
tcf(c_2545,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(iPr_def_13(inverse(X0),iPr_def_12(iPr_def_11(X1,X2),iPr_def_11(X2,X0)))) = iPr_def_14(X1),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_2543]) ).
tcf(c_2667,plain,
! [X0: $i,X1: $i] : inverse(divide(X0,X1)) = iPr_def_14(divide(X1,X0)),
inference(superposition,[status(thm)],[c_1780,c_2544]) ).
tcf(c_2668,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(X0,iPr_def_12(X1,iPr_def_12(divide(X0,X1),X2))) = iPr_def_14(X2),
inference(superposition,[status(thm)],[c_2544,c_1741]) ).
tcf(c_2706,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_13(iPr_def_14(X0),iPr_def_12(X1,X2)) = iPr_def_12(X1,iPr_def_12(X2,X0)),
inference(superposition,[status(thm)],[c_2544,c_2280]) ).
tcf(c_2707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_13(inverse(iPr_def_13(X0,divide(X1,X2))),iPr_def_12(X3,X0)) = iPr_def_12(X3,divide(X2,X1)),
inference(superposition,[status(thm)],[c_2145,c_2280]) ).
tcf(c_2708,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_13(inverse(X0),iPr_def_12(X1,iPr_def_12(X2,X0))) = iPr_def_12(X1,X2),
inference(superposition,[status(thm)],[c_715,c_2280]) ).
tcf(c_2738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_11(iPr_def_11(X0,iPr_def_13(X1,X2)),X3) = iPr_def_11(X1,iPr_def_11(X2,iPr_def_13(X3,X0))),
inference(superposition,[status(thm)],[c_2294,c_2288]) ).
tcf(c_2742,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_13(iPr_def_14(X0),iPr_def_11(X1,X2)) = iPr_def_11(X1,iPr_def_12(X2,X0)),
inference(superposition,[status(thm)],[c_2544,c_2297]) ).
tcf(c_2747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_11(iPr_def_12(X0,iPr_def_10(X0,X1,X2)),X3) = iPr_def_13(inverse(divide(X1,X3)),inverse(X2)),
inference(superposition,[status(thm)],[c_1837,c_2297]) ).
tcf(c_2758,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(iPr_def_13(divide(X0,iPr_def_12(X1,X2)),X2)) = iPr_def_11(X0,X1),
inference(superposition,[status(thm)],[c_1780,c_2302]) ).
tcf(c_2763,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_13(inverse(iPr_def_13(X0,X1)),iPr_def_12(iPr_def_12(X2,X1),X0)) = X2,
inference(superposition,[status(thm)],[c_2302,c_2095]) ).
tcf(c_2784,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(divide(iPr_def_12(iPr_def_13(iPr_def_11(X0,X1),X0),X2),X1)) = inverse(X2),
inference(superposition,[status(thm)],[c_2520,c_2090]) ).
tcf(c_2816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : inverse(iPr_def_13(X0,divide(divide(X1,X2),iPr_def_10(X2,X1,iPr_def_13(X3,X4))))) = iPr_def_11(iPr_def_11(X4,X0),X3),
inference(superposition,[status(thm)],[c_2236,c_2520]) ).
tcf(c_2818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_13(X0,divide(divide(X1,X2),iPr_def_10(X2,X1,X3))) = divide(X0,X3),
inference(superposition,[status(thm)],[c_1780,c_2240]) ).
tcf(c_2943,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(X0,iPr_def_12(X1,iPr_def_10(X1,X0,X2))) = iPr_def_14(X2),
inference(demodulation,[status(thm)],[c_2668,c_1743]) ).
tcf(c_2945,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_14(divide(X0,iPr_def_12(iPr_def_13(iPr_def_11(X1,X0),X1),X2))) = inverse(X2),
inference(demodulation,[status(thm)],[c_2784,c_2667]) ).
tcf(c_2946,plain,
! [X0: $i,X1: $i] : iPr_def_14(divide(X0,iPr_def_12(X0,X1))) = inverse(X1),
inference(demodulation,[status(thm)],[c_2945,c_2095]) ).
tcf(c_2960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_11(iPr_def_12(X0,iPr_def_10(X0,X1,X2)),X3) = iPr_def_13(iPr_def_14(divide(X3,X1)),inverse(X2)),
inference(demodulation,[status(thm)],[c_2747,c_2667]) ).
tcf(c_2967,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_13(iPr_def_11(iPr_def_12(X0,X1),X2),iPr_def_12(X3,X1)) = iPr_def_12(X3,divide(X2,X0)),
inference(demodulation,[status(thm)],[c_2707,c_2158]) ).
tcf(c_3007,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_14(divide(iPr_def_13(X0,X1),X2)) = iPr_def_11(iPr_def_11(X1,X2),X0),
inference(demodulation,[status(thm)],[c_2816,c_2667,c_2818]) ).
tcf(c_3034,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(iPr_def_11(X0,X1),iPr_def_11(X0,X2)) = iPr_def_14(divide(X2,X1)),
inference(demodulation,[status(thm)],[c_2090,c_2667]) ).
tcf(c_3035,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(iPr_def_12(X0,X1),iPr_def_12(X0,X2)) = iPr_def_14(divide(X2,X1)),
inference(demodulation,[status(thm)],[c_1849,c_2667]) ).
tcf(c_3038,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_14(divide(X0,iPr_def_13(X1,X2))) = iPr_def_11(X1,iPr_def_11(X2,X0)),
inference(demodulation,[status(thm)],[c_2288,c_2667]) ).
tcf(c_3044,plain,
! [X0: $i,X1: $i] : iPr_def_13(iPr_def_14(divide(X0,X0)),inverse(X1)) = inverse(X1),
inference(demodulation,[status(thm)],[c_1837,c_2960]) ).
tcf(c_3789,plain,
! [X0: $i,X1: $i] : iPr_def_11(inverse(X0),inverse(X0)) = iPr_def_14(divide(X1,X1)),
inference(superposition,[status(thm)],[c_3044,c_2108]) ).
tcf(c_3803,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_12(X0,iPr_def_10(X0,X1,X2)) = iPr_def_13(iPr_def_14(X2),X1),
inference(superposition,[status(thm)],[c_2943,c_2095]) ).
tcf(c_3839,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(X0,iPr_def_12(iPr_def_13(X1,X0),X2)) = iPr_def_13(iPr_def_14(X2),X1),
inference(superposition,[status(thm)],[c_2108,c_2742]) ).
tcf(c_3860,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_13(iPr_def_14(divide(X0,X0)),iPr_def_11(X1,X2)) = iPr_def_11(X1,X2),
inference(superposition,[status(thm)],[c_2758,c_3044]) ).
tcf(c_3866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_13(iPr_def_11(iPr_def_12(X0,X1),X2),iPr_def_12(iPr_def_12(X3,divide(X0,X2)),X1)) = X3,
inference(superposition,[status(thm)],[c_2158,c_2763]) ).
tcf(c_3871,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_13(inverse(divide(X0,X1)),iPr_def_12(iPr_def_12(X2,divide(X3,iPr_def_12(X3,X1))),X0)) = X2,
inference(superposition,[status(thm)],[c_2255,c_2763]) ).
tcf(c_4049,plain,
! [X0: $i,X1: $i] : iPr_def_13(iPr_def_14(divide(X0,X0)),iPr_def_14(X1)) = iPr_def_14(X1),
inference(superposition,[status(thm)],[c_2545,c_3044]) ).
tcf(c_4056,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(X0,iPr_def_12(X1,divide(X2,X2))) = iPr_def_11(X0,X1),
inference(demodulation,[status(thm)],[c_3860,c_2742]) ).
tcf(c_4066,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_12(iPr_def_12(X0,divide(X1,X2)),divide(X2,X1)) = X0,
inference(demodulation,[status(thm)],[c_3866,c_2967]) ).
tcf(c_4079,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_12(iPr_def_12(X0,divide(X1,iPr_def_12(X1,X2))),X2) = X0,
inference(demodulation,[status(thm)],[c_3871,c_1780,c_2667,c_2706]) ).
tcf(c_4129,plain,
! [X0: $i,X1: $i] : iPr_def_13(inverse(X0),iPr_def_13(iPr_def_14(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_2252,c_3803]) ).
tcf(c_4256,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_13(inverse(divide(X0,iPr_def_12(X0,X1))),iPr_def_13(inverse(X1),X2)) = X2,
inference(superposition,[status(thm)],[c_2946,c_4129]) ).
tcf(c_4259,plain,
! [X0: $i,X1: $i] : iPr_def_11(iPr_def_13(iPr_def_14(X0),X1),X1) = inverse(X0),
inference(superposition,[status(thm)],[c_4129,c_2108]) ).
tcf(c_4285,plain,
! [X0: $i,X1: $i] : iPr_def_14(divide(X0,X0)) = iPr_def_14(divide(X1,X1)),
inference(superposition,[status(thm)],[c_3789,c_3789]) ).
tcf(c_4306,plain,
! [X0: $i,X1: $i] : iPr_def_11(iPr_def_14(X0),iPr_def_14(X0)) = iPr_def_14(divide(X1,X1)),
inference(superposition,[status(thm)],[c_4049,c_2108]) ).
tcf(c_4355,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_12(X0,divide(X1,X1)) = iPr_def_13(iPr_def_11(X2,X0),X2),
inference(superposition,[status(thm)],[c_4056,c_2095]) ).
tcf(c_4396,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(iPr_def_13(divide(X0,X1),divide(X1,X0))) = iPr_def_11(X2,X2),
inference(superposition,[status(thm)],[c_4066,c_2302]) ).
tcf(c_4397,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_13(inverse(iPr_def_13(divide(X0,X1),divide(X1,X0))),X2) = X2,
inference(superposition,[status(thm)],[c_4066,c_2763]) ).
tcf(c_4431,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(iPr_def_13(X0,divide(X1,iPr_def_12(X1,X0)))) = iPr_def_11(X2,X2),
inference(superposition,[status(thm)],[c_4079,c_2302]) ).
tcf(c_4490,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_13(iPr_def_14(divide(X0,X0)),X1) = iPr_def_11(X2,iPr_def_13(X1,X2)),
inference(superposition,[status(thm)],[c_3839,c_4056]) ).
tcf(c_4491,plain,
! [X0: $i,X1: $i] : iPr_def_12(X0,divide(X1,X1)) = X0,
inference(demodulation,[status(thm)],[c_4355,c_2095]) ).
tcf(c_4492,plain,
! [X0: $i,X1: $i] : iPr_def_13(iPr_def_14(divide(X0,X0)),X1) = X1,
inference(demodulation,[status(thm)],[c_4490,c_2108]) ).
tcf(c_4494,plain,
! [X0: $i,X1: $i] : iPr_def_14(divide(X0,X0)) = iPr_def_11(X1,X1),
inference(demodulation,[status(thm)],[c_4431,c_2158,c_3035]) ).
tcf(c_4495,plain,
! [X0: $i,X1: $i] : iPr_def_13(iPr_def_11(X0,X0),X1) = X1,
inference(demodulation,[status(thm)],[c_4397,c_1780,c_1850,c_2158]) ).
tcf(c_4496,plain,
! [X0: $i,X1: $i] : iPr_def_11(X0,X0) = iPr_def_11(X1,X1),
inference(demodulation,[status(thm)],[c_4396,c_1780,c_1850,c_2158]) ).
tcf(c_4506,plain,
! [X0: $i,X1: $i] : iPr_def_13(iPr_def_14(X0),iPr_def_13(inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_4256,c_715,c_2667]) ).
tcf(c_6473,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_12(X0,divide(X1,iPr_def_12(X1,divide(X2,X2)))) = X0,
inference(superposition,[status(thm)],[c_4079,c_4491]) ).
tcf(c_6475,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_14(divide(X0,divide(X1,X1))) = iPr_def_11(X2,iPr_def_12(X2,X0)),
inference(superposition,[status(thm)],[c_4491,c_3035]) ).
tcf(c_6476,plain,
! [X0: $i,X1: $i] : inverse(divide(X0,X0)) = iPr_def_14(divide(X1,X1)),
inference(superposition,[status(thm)],[c_4491,c_2946]) ).
tcf(c_6477,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(iPr_def_13(X0,divide(X1,X1))) = iPr_def_11(iPr_def_12(X2,X0),X2),
inference(superposition,[status(thm)],[c_4491,c_2302]) ).
tcf(c_6479,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_12(divide(X0,X0),X1) = iPr_def_10(X2,X2,X1),
inference(superposition,[status(thm)],[c_4491,c_706]) ).
tcf(c_6480,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(divide(X0,X0),X1) = iPr_def_10(X2,X2,X1),
inference(superposition,[status(thm)],[c_4491,c_680]) ).
tcf(c_6481,plain,
! [X0: $i,X1: $i] : divide(X0,X0) = divide(X1,X1),
inference(superposition,[status(thm)],[c_4491,c_715]) ).
tcf(c_6487,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(X1,X1)) = iPr_def_13(X0,divide(X2,X2)),
inference(superposition,[status(thm)],[c_4491,c_2255]) ).
tcf(c_6489,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_10(X0,X1,divide(X2,X2)) = divide(X1,X0),
inference(superposition,[status(thm)],[c_4491,c_1743]) ).
tcf(c_6494,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(iPr_def_13(divide(X0,X0),X1)) = iPr_def_11(iPr_def_12(X2,X1),X2),
inference(superposition,[status(thm)],[c_4491,c_2302]) ).
tcf(c_6518,plain,
! [X0: $i,X1: $i,X2: $i] : divide(iPr_def_11(X0,X0),X1) = divide(X2,iPr_def_12(X2,X1)),
inference(superposition,[status(thm)],[c_4495,c_2255]) ).
tcf(c_6556,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_10(X0,X1,divide(X0,X1)) = iPr_def_11(X2,X2),
inference(superposition,[status(thm)],[c_4496,c_196]) ).
tcf(c_6589,plain,
! [X0: $i,X1: $i,X2: $i] : divide(iPr_def_14(divide(X0,X0)),X1) = divide(X2,iPr_def_12(X2,X1)),
inference(superposition,[status(thm)],[c_4492,c_2255]) ).
tcf(c_6610,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_13(inverse(divide(X0,X0)),iPr_def_13(iPr_def_11(X1,X1),X2)) = X2,
inference(superposition,[status(thm)],[c_4494,c_4129]) ).
tcf(c_6640,plain,
! [X0: $i,X1: $i] : inverse(divide(X0,X0)) = iPr_def_11(X1,X1),
inference(superposition,[status(thm)],[c_4492,c_4259]) ).
tcf(c_6643,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(divide(X0,iPr_def_12(X0,X1))) = iPr_def_11(iPr_def_13(inverse(X1),X2),X2),
inference(superposition,[status(thm)],[c_2946,c_4259]) ).
tcf(c_6691,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(iPr_def_11(X0,iPr_def_13(X1,X0)),X1) = iPr_def_14(divide(X2,X2)),
inference(superposition,[status(thm)],[c_4285,c_3007]) ).
tcf(c_6710,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_13(iPr_def_14(iPr_def_13(X0,X1)),X2) = iPr_def_12(iPr_def_12(X2,X1),X0),
inference(superposition,[status(thm)],[c_2763,c_4506]) ).
tcf(c_6717,plain,
! [X0: $i,X1: $i] : iPr_def_11(iPr_def_13(inverse(X0),X1),X1) = iPr_def_14(X0),
inference(superposition,[status(thm)],[c_4506,c_2108]) ).
tcf(c_6785,plain,
! [X0: $i,X1: $i] : iPr_def_13(iPr_def_11(iPr_def_14(X0),iPr_def_14(X0)),X1) = X1,
inference(superposition,[status(thm)],[c_4306,c_4492]) ).
tcf(c_6786,plain,
! [X0: $i] : divide(X0,X0) = iPr_def_16,
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_6481]) ).
tcf(c_6788,plain,
! [X0: $i] : iPr_def_11(X0,X0) = inverse(iPr_def_16),
inference(demodulation,[status(thm)],[c_6640,c_6786]) ).
tcf(c_6789,plain,
! [X0: $i] : iPr_def_13(inverse(iPr_def_16),X0) = X0,
inference(demodulation,[status(thm)],[c_6785,c_6788]) ).
tcf(c_6790,plain,
inverse(iPr_def_16) = iPr_def_14(iPr_def_16),
inference(demodulation,[status(thm)],[c_6476,c_6786]) ).
tcf(c_6791,plain,
! [X0: $i,X1: $i] : iPr_def_10(X0,X1,divide(X0,X1)) = inverse(iPr_def_16),
inference(demodulation,[status(thm)],[c_6556,c_6788]) ).
tcf(c_6792,plain,
! [X0: $i,X1: $i] : iPr_def_10(X0,X1,iPr_def_16) = divide(X1,X0),
inference(demodulation,[status(thm)],[c_6489,c_6786]) ).
tcf(c_6793,plain,
! [X0: $i,X1: $i] : iPr_def_10(X0,X0,X1) = iPr_def_11(iPr_def_16,X1),
inference(demodulation,[status(thm)],[c_6480,c_6786]) ).
tcf(c_6794,plain,
! [X0: $i] : iPr_def_11(iPr_def_16,X0) = iPr_def_12(iPr_def_16,X0),
inference(demodulation,[status(thm)],[c_6479,c_6786,c_6793]) ).
tcf(c_6811,plain,
! [X0: $i,X1: $i] : divide(X0,iPr_def_12(X0,X1)) = divide(inverse(iPr_def_16),X1),
inference(demodulation,[status(thm)],[c_6518,c_6788]) ).
tcf(c_6813,plain,
! [X0: $i] : divide(X0,iPr_def_16) = iPr_def_13(X0,iPr_def_16),
inference(demodulation,[status(thm)],[c_6487,c_6786]) ).
tcf(c_6815,plain,
! [X0: $i] : iPr_def_12(X0,iPr_def_16) = X0,
inference(demodulation,[status(thm)],[c_6473,c_6786,c_6789,c_6811,c_6813]) ).
tcf(c_6818,plain,
! [X0: $i,X1: $i] : iPr_def_11(iPr_def_11(X0,iPr_def_13(X1,X0)),X1) = iPr_def_14(iPr_def_16),
inference(demodulation,[status(thm)],[c_6691,c_6786]) ).
tcf(c_6819,plain,
! [X0: $i] : iPr_def_11(X0,X0) = iPr_def_14(iPr_def_16),
inference(demodulation,[status(thm)],[c_6818,c_2108,c_2738]) ).
tcf(c_6843,plain,
! [X0: $i] : iPr_def_13(iPr_def_14(iPr_def_16),X0) = X0,
inference(demodulation,[status(thm)],[c_6610,c_6786,c_6789,c_6819]) ).
tcf(c_6846,plain,
! [X0: $i] : divide(inverse(iPr_def_16),X0) = divide(iPr_def_14(iPr_def_16),X0),
inference(demodulation,[status(thm)],[c_6589,c_6786,c_6811]) ).
tcf(c_6871,plain,
! [X0: $i,X1: $i] : iPr_def_11(iPr_def_12(X0,X1),X0) = inverse(iPr_def_13(iPr_def_16,X1)),
inference(demodulation,[status(thm)],[c_6494,c_6786]) ).
tcf(c_6875,plain,
! [X0: $i] : inverse(iPr_def_13(X0,iPr_def_16)) = inverse(iPr_def_13(iPr_def_16,X0)),
inference(demodulation,[status(thm)],[c_6477,c_6786,c_6871]) ).
tcf(c_6876,plain,
! [X0: $i,X1: $i] : iPr_def_11(X0,iPr_def_12(X0,X1)) = iPr_def_14(iPr_def_13(X1,iPr_def_16)),
inference(demodulation,[status(thm)],[c_6475,c_6786,c_6813]) ).
tcf(c_6898,plain,
! [X0: $i] : inverse(divide(iPr_def_14(iPr_def_16),X0)) = iPr_def_14(X0),
inference(demodulation,[status(thm)],[c_6643,c_6717,c_6811,c_6846]) ).
tcf(c_6899,plain,
! [X0: $i] : iPr_def_14(divide(X0,iPr_def_14(iPr_def_16))) = iPr_def_14(X0),
inference(demodulation,[status(thm)],[c_6898,c_2667]) ).
tcf(c_6965,plain,
divide(iPr_def_16,inverse(a2)) != a2,
inference(demodulation,[status(thm)],[c_53,c_6786]) ).
tcf(c_6968,plain,
! [X0: $i] : iPr_def_14(divide(inverse(iPr_def_16),X0)) = inverse(X0),
inference(demodulation,[status(thm)],[c_2946,c_6811]) ).
tcf(c_6977,plain,
! [X0: $i] : iPr_def_14(divide(iPr_def_14(iPr_def_16),X0)) = inverse(X0),
inference(demodulation,[status(thm)],[c_6968,c_6846]) ).
tcf(c_7162,plain,
iPr_def_11(iPr_def_16,iPr_def_16) = iPr_def_16,
inference(superposition,[status(thm)],[c_6794,c_6815]) ).
tcf(c_7191,plain,
iPr_def_13(iPr_def_16,iPr_def_16) = iPr_def_16,
inference(superposition,[status(thm)],[c_6813,c_6786]) ).
tcf(c_7208,plain,
! [X0: $i,X1: $i] : divide(X0,iPr_def_12(X0,X1)) = iPr_def_11(X1,iPr_def_16),
inference(superposition,[status(thm)],[c_6792,c_680]) ).
tcf(c_7280,plain,
! [X0: $i] : iPr_def_10(X0,iPr_def_16,iPr_def_13(X0,iPr_def_16)) = inverse(iPr_def_16),
inference(superposition,[status(thm)],[c_6813,c_6791]) ).
tcf(c_7290,plain,
! [X0: $i,X1: $i] : iPr_def_12(X0,divide(X1,iPr_def_12(X1,X0))) = inverse(iPr_def_16),
inference(superposition,[status(thm)],[c_6791,c_706]) ).
tcf(c_7297,plain,
! [X0: $i] : inverse(iPr_def_13(iPr_def_16,iPr_def_11(iPr_def_16,X0))) = inverse(X0),
inference(superposition,[status(thm)],[c_2095,c_6875]) ).
tcf(c_7314,plain,
iPr_def_14(iPr_def_16) = iPr_def_16,
inference(demodulation,[status(thm)],[c_7162,c_6819]) ).
tcf(c_7320,plain,
! [X0: $i] : iPr_def_10(X0,iPr_def_16,iPr_def_13(X0,iPr_def_16)) = iPr_def_14(iPr_def_16),
inference(light_normalisation,[status(thm)],[c_7280,c_6790]) ).
tcf(c_7324,plain,
! [X0: $i] : iPr_def_12(X0,iPr_def_11(X0,iPr_def_16)) = inverse(iPr_def_16),
inference(demodulation,[status(thm)],[c_7290,c_7208]) ).
tcf(c_7325,plain,
! [X0: $i] : iPr_def_12(X0,iPr_def_11(X0,iPr_def_16)) = iPr_def_14(iPr_def_16),
inference(light_normalisation,[status(thm)],[c_7324,c_6790]) ).
tcf(c_7397,plain,
! [X0: $i] : iPr_def_14(divide(iPr_def_16,X0)) = inverse(X0),
inference(demodulation,[status(thm)],[c_6977,c_7314]) ).
tcf(c_7398,plain,
! [X0: $i] : iPr_def_14(divide(X0,iPr_def_16)) = iPr_def_14(X0),
inference(demodulation,[status(thm)],[c_6899,c_7314]) ).
tcf(c_7399,plain,
! [X0: $i] : iPr_def_13(iPr_def_16,X0) = X0,
inference(demodulation,[status(thm)],[c_6843,c_7314]) ).
tcf(c_7400,plain,
! [X0: $i] : iPr_def_11(X0,X0) = iPr_def_16,
inference(demodulation,[status(thm)],[c_6819,c_7314]) ).
tcf(c_7402,plain,
! [X0: $i] : iPr_def_14(iPr_def_13(X0,iPr_def_16)) = iPr_def_14(X0),
inference(demodulation,[status(thm)],[c_7398,c_6813]) ).
tcf(c_7850,plain,
! [X0: $i] : iPr_def_11(iPr_def_16,iPr_def_12(iPr_def_16,X0)) = iPr_def_13(iPr_def_14(X0),iPr_def_16),
inference(superposition,[status(thm)],[c_7191,c_3839]) ).
tcf(c_7853,plain,
! [X0: $i] : iPr_def_11(iPr_def_11(iPr_def_16,X0),iPr_def_16) = iPr_def_14(divide(iPr_def_16,X0)),
inference(superposition,[status(thm)],[c_7191,c_3007]) ).
tcf(c_7855,plain,
! [X0: $i] : iPr_def_11(iPr_def_16,iPr_def_11(iPr_def_16,X0)) = iPr_def_14(divide(X0,iPr_def_16)),
inference(superposition,[status(thm)],[c_7191,c_3038]) ).
tcf(c_7867,plain,
! [X0: $i] : iPr_def_11(iPr_def_16,iPr_def_11(iPr_def_16,X0)) = iPr_def_14(X0),
inference(demodulation,[status(thm)],[c_7855,c_6813,c_7402]) ).
tcf(c_7870,plain,
! [X0: $i] : iPr_def_11(iPr_def_11(iPr_def_16,X0),iPr_def_16) = inverse(X0),
inference(demodulation,[status(thm)],[c_7853,c_7397]) ).
tcf(c_7872,plain,
! [X0: $i] : iPr_def_13(iPr_def_14(X0),iPr_def_16) = iPr_def_14(X0),
inference(demodulation,[status(thm)],[c_7850,c_6876,c_7402]) ).
tcf(c_7883,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_10(iPr_def_16,divide(X0,X1),X2) = iPr_def_11(divide(X1,X0),X2),
inference(superposition,[status(thm)],[c_7399,c_2321]) ).
tcf(c_7885,plain,
! [X0: $i,X1: $i] : iPr_def_11(iPr_def_12(X0,iPr_def_16),X1) = inverse(divide(X0,X1)),
inference(superposition,[status(thm)],[c_7399,c_2158]) ).
tcf(c_7896,plain,
! [X0: $i,X1: $i] : iPr_def_11(iPr_def_11(X0,X1),iPr_def_16) = iPr_def_14(divide(X0,X1)),
inference(superposition,[status(thm)],[c_7400,c_3034]) ).
tcf(c_7897,plain,
! [X0: $i,X1: $i] : iPr_def_11(iPr_def_16,iPr_def_11(X0,X1)) = iPr_def_14(divide(X1,X0)),
inference(superposition,[status(thm)],[c_7400,c_3034]) ).
tcf(c_7934,plain,
! [X0: $i,X1: $i] : iPr_def_11(iPr_def_13(inverse(X0),X1),X1) = inverse(divide(iPr_def_16,X0)),
inference(superposition,[status(thm)],[c_7397,c_4259]) ).
tcf(c_7939,plain,
! [X0: $i] : iPr_def_14(iPr_def_11(iPr_def_16,X0)) = iPr_def_14(X0),
inference(superposition,[status(thm)],[c_2095,c_7402]) ).
tcf(c_7954,plain,
! [X0: $i,X1: $i] : iPr_def_11(iPr_def_16,iPr_def_12(iPr_def_14(X0),X1)) = iPr_def_13(iPr_def_14(X1),iPr_def_14(X0)),
inference(superposition,[status(thm)],[c_7872,c_3839]) ).
tcf(c_7960,plain,
! [X0: $i] : iPr_def_11(iPr_def_14(X0),iPr_def_16) = inverse(X0),
inference(superposition,[status(thm)],[c_7872,c_4259]) ).
tcf(c_7994,plain,
! [X0: $i,X1: $i] : iPr_def_10(iPr_def_14(iPr_def_16),X0,X1) = iPr_def_11(iPr_def_11(X0,iPr_def_16),X1),
inference(superposition,[status(thm)],[c_7325,c_680]) ).
tcf(c_7995,plain,
! [X0: $i] : divide(iPr_def_14(iPr_def_16),X0) = iPr_def_11(X0,iPr_def_16),
inference(superposition,[status(thm)],[c_7325,c_715]) ).
tcf(c_7997,plain,
! [X0: $i,X1: $i] : iPr_def_13(inverse(iPr_def_11(X0,iPr_def_16)),iPr_def_12(X1,iPr_def_14(iPr_def_16))) = iPr_def_12(X1,X0),
inference(superposition,[status(thm)],[c_7325,c_2708]) ).
tcf(c_7999,plain,
! [X0: $i,X1: $i] : iPr_def_12(X0,iPr_def_12(iPr_def_11(X0,iPr_def_16),X1)) = iPr_def_13(iPr_def_14(X1),iPr_def_14(iPr_def_16)),
inference(superposition,[status(thm)],[c_7325,c_2706]) ).
tcf(c_8015,plain,
! [X0: $i] : iPr_def_13(iPr_def_14(X0),iPr_def_16) = iPr_def_11(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_7867,c_2095]) ).
tcf(c_8025,plain,
! [X0: $i,X1: $i] : iPr_def_11(inverse(X0),iPr_def_11(iPr_def_11(iPr_def_16,X0),X1)) = iPr_def_14(divide(X1,iPr_def_16)),
inference(superposition,[status(thm)],[c_7870,c_3034]) ).
tcf(c_8048,plain,
! [X0: $i,X1: $i] : iPr_def_11(iPr_def_13(inverse(X0),X1),X1) = iPr_def_14(iPr_def_13(iPr_def_16,iPr_def_11(iPr_def_16,X0))),
inference(superposition,[status(thm)],[c_7297,c_6717]) ).
tcf(c_8060,plain,
! [X0: $i] : iPr_def_13(iPr_def_14(iPr_def_13(X0,iPr_def_16)),iPr_def_16) = iPr_def_12(X0,iPr_def_14(iPr_def_16)),
inference(superposition,[status(thm)],[c_7320,c_3803]) ).
tcf(c_8109,plain,
! [X0: $i,X1: $i] : iPr_def_11(divide(X0,X1),iPr_def_16) = divide(X1,X0),
inference(superposition,[status(thm)],[c_1780,c_7208]) ).
tcf(c_8113,plain,
! [X0: $i] : divide(iPr_def_16,iPr_def_11(iPr_def_16,X0)) = iPr_def_11(X0,iPr_def_16),
inference(superposition,[status(thm)],[c_6794,c_7208]) ).
tcf(c_8115,plain,
! [X0: $i] : iPr_def_11(iPr_def_11(X0,iPr_def_16),iPr_def_16) = divide(X0,iPr_def_14(iPr_def_16)),
inference(superposition,[status(thm)],[c_7325,c_7208]) ).
tcf(c_8124,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_10(X0,iPr_def_12(X0,X1),X2) = iPr_def_11(iPr_def_11(X1,iPr_def_16),X2),
inference(superposition,[status(thm)],[c_7208,c_196]) ).
tcf(c_8154,plain,
! [X0: $i] : iPr_def_11(iPr_def_16,X0) = iPr_def_14(X0),
inference(demodulation,[status(thm)],[c_8015,c_7872]) ).
tcf(c_8156,plain,
! [X0: $i] : divide(iPr_def_16,X0) = iPr_def_11(X0,iPr_def_16),
inference(light_normalisation,[status(thm)],[c_7995,c_7314]) ).
tcf(c_8160,plain,
! [X0: $i] : iPr_def_11(X0,iPr_def_16) = inverse(X0),
inference(demodulation,[status(thm)],[c_8113,c_7960,c_8154,c_8156]) ).
tcf(c_8161,plain,
! [X0: $i,X1: $i] : inverse(divide(X0,X1)) = divide(X1,X0),
inference(demodulation,[status(thm)],[c_8109,c_8160]) ).
tcf(c_8177,plain,
! [X0: $i] : divide(X0,iPr_def_14(iPr_def_16)) = inverse(inverse(X0)),
inference(demodulation,[status(thm)],[c_8115,c_8160]) ).
tcf(c_8178,plain,
! [X0: $i] : inverse(inverse(X0)) = iPr_def_13(X0,iPr_def_16),
inference(light_normalisation,[status(thm)],[c_8177,c_6813,c_7314]) ).
tcf(c_8204,plain,
! [X0: $i,X1: $i] : iPr_def_14(divide(X0,X1)) = iPr_def_14(iPr_def_11(X1,X0)),
inference(demodulation,[status(thm)],[c_7897,c_8154]) ).
tcf(c_8205,plain,
! [X0: $i,X1: $i] : inverse(iPr_def_11(X0,X1)) = iPr_def_14(iPr_def_11(X1,X0)),
inference(demodulation,[status(thm)],[c_7896,c_8160,c_8204]) ).
tcf(c_8206,plain,
! [X0: $i,X1: $i] : iPr_def_11(iPr_def_12(X0,iPr_def_16),X1) = divide(X1,X0),
inference(demodulation,[status(thm)],[c_7885,c_8161]) ).
tcf(c_8207,plain,
! [X0: $i,X1: $i] : divide(X0,X1) = iPr_def_11(X1,X0),
inference(demodulation,[status(thm)],[c_8206,c_6815]) ).
tcf(c_8217,plain,
! [X0: $i] : iPr_def_12(X0,iPr_def_14(iPr_def_16)) = iPr_def_11(iPr_def_16,X0),
inference(demodulation,[status(thm)],[c_8060,c_6710,c_6794,c_7400]) ).
tcf(c_8218,plain,
! [X0: $i] : iPr_def_11(iPr_def_16,X0) = X0,
inference(light_normalisation,[status(thm)],[c_8217,c_6815,c_7314]) ).
tcf(c_8221,plain,
! [X0: $i,X1: $i] : iPr_def_10(iPr_def_14(iPr_def_16),X0,X1) = iPr_def_11(inverse(X0),X1),
inference(demodulation,[status(thm)],[c_7994,c_8160]) ).
tcf(c_8222,plain,
! [X0: $i,X1: $i] : iPr_def_10(iPr_def_16,X0,X1) = iPr_def_11(inverse(X0),X1),
inference(light_normalisation,[status(thm)],[c_8221,c_7314]) ).
tcf(c_8235,plain,
! [X0: $i,X1: $i] : iPr_def_11(iPr_def_13(inverse(X0),X1),X1) = X0,
inference(demodulation,[status(thm)],[c_7934,c_8161,c_8207,c_8218]) ).
tcf(c_8242,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_10(X0,iPr_def_12(X0,X1),X2) = iPr_def_10(iPr_def_16,X1,X2),
inference(demodulation,[status(thm)],[c_8124,c_8160,c_8222]) ).
tcf(c_8243,plain,
! [X0: $i,X1: $i] : iPr_def_10(iPr_def_16,X0,X1) = iPr_def_12(X0,X1),
inference(demodulation,[status(thm)],[c_8242,c_706]) ).
tcf(c_8275,plain,
! [X0: $i,X1: $i] : iPr_def_13(iPr_def_14(X0),iPr_def_14(X1)) = iPr_def_12(iPr_def_14(X1),X0),
inference(demodulation,[status(thm)],[c_7954,c_8218]) ).
tcf(c_8283,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(iPr_def_11(X0,X1),X2) = iPr_def_12(iPr_def_11(X1,X0),X2),
inference(demodulation,[status(thm)],[c_7883,c_8207,c_8243]) ).
tcf(c_8305,plain,
! [X0: $i] : iPr_def_14(iPr_def_13(iPr_def_16,X0)) = X0,
inference(demodulation,[status(thm)],[c_8048,c_8218,c_8235]) ).
tcf(c_8306,plain,
! [X0: $i] : iPr_def_14(X0) = X0,
inference(demodulation,[status(thm)],[c_8305,c_7399]) ).
tcf(c_8313,plain,
! [X0: $i,X1: $i] : iPr_def_12(X0,iPr_def_11(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_8025,c_7939,c_8204,c_8218,c_8222,c_8243,c_8306]) ).
tcf(c_8326,plain,
! [X0: $i] : iPr_def_12(iPr_def_16,X0) = X0,
inference(demodulation,[status(thm)],[c_7999,c_8218,c_8275,c_8283,c_8306,c_8313]) ).
tcf(c_8327,plain,
! [X0: $i,X1: $i] : iPr_def_13(X0,iPr_def_12(X1,iPr_def_16)) = iPr_def_12(X1,X0),
inference(demodulation,[status(thm)],[c_7997,c_7939,c_8205,c_8306]) ).
tcf(c_8328,plain,
! [X0: $i,X1: $i] : iPr_def_12(X0,X1) = iPr_def_13(X1,X0),
inference(demodulation,[status(thm)],[c_8327,c_6815]) ).
tcf(c_8384,plain,
iPr_def_11(inverse(a2),iPr_def_16) != a2,
inference(demodulation,[status(thm)],[c_6965,c_8156]) ).
tcf(c_8385,plain,
$false,
inference(ground_joinability,[status(thm)],[c_8384,c_8160,c_8178,c_8326,c_8328]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP476-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n020.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 14:52:33 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39 Running UEQ theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 8.81/2.10 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 8.81/2.10 % SZS status Started for theBenchmark.p
% 8.81/2.10 % SZS status Unsatisfiable for theBenchmark.p
% 8.81/2.10
% 8.81/2.10 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.81/2.10
% 8.81/2.10 % ------ iProver source info
% 8.81/2.10
% 8.81/2.10 % git: date: 2026-07-19 20:42:38 +0200
% 8.81/2.10 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.81/2.10 % git: non_committed_changes: false
% 8.81/2.10
% 8.81/2.10 % ------ Parsing...% successful
% 8.81/2.10
% 8.81/2.10
% 8.81/2.10 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 8.81/2.10 % ------ Proving...
% 8.81/2.10 % ------ Problem Properties
% 8.81/2.10
% 8.81/2.10 %
% 8.81/2.10 % clauses 2
% 8.81/2.10 % conjectures 1
% 8.81/2.10 % EPR 0
% 8.81/2.10 % Horn 2
% 8.81/2.10 % unary 2
% 8.81/2.10 % binary 0
% 8.81/2.10 % lits 2
% 8.81/2.10 % lits eq 2
% 8.81/2.10 % fd_pure 0
% 8.81/2.10 % fd_pseudo 0
% 8.81/2.10 % fd_cond 0
% 8.81/2.10 % fd_pseudo_cond 0
% 8.81/2.10 % AC symbols 0
% 8.81/2.10
% 8.81/2.10 % ------ Input Options Time Limit: Unbounded
% 8.81/2.10
% 8.81/2.10
% 8.81/2.10 % ------
% 8.81/2.10 % Current options:
% 8.81/2.10 % ------
% 8.81/2.10
% 8.81/2.10
% 8.81/2.10 %
% 8.81/2.10
% 8.81/2.10 % ------ Proving...
% 8.81/2.10 %
% 8.81/2.10
% 8.81/2.10 % SZS status Unsatisfiable for theBenchmark.p
% 8.81/2.10
% 8.81/2.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.79/2.11
% 2.79/2.11
%------------------------------------------------------------------------------