%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP099-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n008.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 01:30:43 PM UTC 2026
% Result : Unsatisfiable 10.16s 2.17s
% Output : CNFRefutation 10.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 20
% Syntax : Number of formulae : 142 ( 132 unt; 15 def)
% Number of atoms : 533 ( 166 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 61 ( 36 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn 83 !; 0 ?; 75 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),double_divide(identity,identity)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(identity,a2) != a2
| multiply(inverse(a1),a1) != identity ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f6,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2)
| identity != multiply(inverse(a1),a1) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f8,plain,
( double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity)
| double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity)
| a2 != double_divide(double_divide(a2,identity),identity)
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity) ),
inference(definition_unfolding,[],[f6,f2,f3,f2,f2,f2,f2,f2,f2,f2]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),double_divide(identity,identity)) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_55,plain,
! [X0: $i] : double_divide(X0,double_divide(X0,identity)) = identity,
inference(cnf_transformation,[],[f7]) ).
tcf(c_56,negated_conjecture,
( ( double_divide(double_divide(a4,b4),identity) != double_divide(double_divide(b4,a4),identity) )
| ( double_divide(double_divide(a2,identity),identity) != a2 )
| ( double_divide(double_divide(a1,double_divide(a1,identity)),identity) != identity )
| ( double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_71,plain,
( ( double_divide(identity,identity) != identity )
| ( double_divide(double_divide(a4,b4),identity) != double_divide(double_divide(b4,a4),identity) )
| ( double_divide(double_divide(a2,identity),identity) != a2 )
| ( double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) ) ),
inference(demodulation,[status(thm)],[c_56,c_55]) ).
tcf(c_79,definition,
iPr_def_10 = double_divide(c3,b3),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_80,definition,
iPr_def_11 = double_divide(iPr_def_10,identity),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_81,definition,
iPr_def_12 = double_divide(iPr_def_11,a3),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_82,definition,
iPr_def_13 = double_divide(iPr_def_12,identity),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_83,definition,
iPr_def_14 = double_divide(b3,a3),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_84,definition,
iPr_def_15 = double_divide(iPr_def_14,identity),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_85,definition,
iPr_def_16 = double_divide(c3,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_86,definition,
iPr_def_17 = double_divide(iPr_def_16,identity),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_87,definition,
iPr_def_18 = double_divide(a2,identity),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_88,definition,
iPr_def_19 = double_divide(iPr_def_18,identity),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_89,definition,
iPr_def_20 = double_divide(a4,b4),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_90,definition,
iPr_def_21 = double_divide(iPr_def_20,identity),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_91,definition,
iPr_def_22 = double_divide(b4,a4),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_92,definition,
iPr_def_23 = double_divide(iPr_def_22,identity),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_93,definition,
iPr_def_24 = double_divide(identity,identity),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_94,plain,
( ( iPr_def_24 != identity )
| ( iPr_def_21 != iPr_def_23 )
| ( iPr_def_19 != a2 )
| ( iPr_def_13 != iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_71,c_93,c_91,c_92,c_89,c_90,c_87,c_88,c_83,c_84,c_85,c_86,c_79,c_80,c_81,c_82]) ).
tcf(c_160,plain,
double_divide(identity,iPr_def_24) = identity,
inference(superposition,[status(thm)],[c_93,c_55]) ).
tcf(c_169,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),iPr_def_24) = X1,
inference(light_normalisation,[status(thm)],[c_54,c_93]) ).
tcf(c_170,plain,
! [X0: $i] : double_divide(double_divide(X0,double_divide(identity,double_divide(identity,identity))),iPr_def_24) = X0,
inference(superposition,[status(thm)],[c_55,c_169]) ).
tcf(c_171,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(double_divide(X0,iPr_def_24),iPr_def_24)),iPr_def_24) = X0,
inference(superposition,[status(thm)],[c_93,c_169]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,double_divide(double_divide(X1,identity),double_divide(identity,double_divide(X0,identity)))),iPr_def_24) = X1,
inference(superposition,[status(thm)],[c_55,c_169]) ).
tcf(c_177,plain,
! [X0: $i] : double_divide(double_divide(a4,double_divide(double_divide(X0,iPr_def_20),double_divide(identity,b4))),iPr_def_24) = X0,
inference(superposition,[status(thm)],[c_89,c_169]) ).
tcf(c_178,plain,
! [X0: $i] : double_divide(double_divide(iPr_def_10,double_divide(double_divide(X0,iPr_def_11),double_divide(identity,identity))),iPr_def_24) = X0,
inference(superposition,[status(thm)],[c_80,c_169]) ).
tcf(c_187,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),iPr_def_24) = X0,
inference(superposition,[status(thm)],[c_160,c_169]) ).
tcf(c_201,plain,
! [X0: $i] : double_divide(double_divide(X0,identity),iPr_def_24) = X0,
inference(light_normalisation,[status(thm)],[c_170,c_93,c_160]) ).
tcf(c_208,plain,
! [X0: $i] : double_divide(double_divide(iPr_def_10,double_divide(double_divide(X0,iPr_def_11),iPr_def_24)),iPr_def_24) = X0,
inference(light_normalisation,[status(thm)],[c_178,c_93]) ).
tcf(c_267,plain,
double_divide(iPr_def_24,iPr_def_24) = identity,
inference(superposition,[status(thm)],[c_93,c_201]) ).
tcf(c_268,plain,
double_divide(iPr_def_18,iPr_def_24) = a2,
inference(superposition,[status(thm)],[c_87,c_201]) ).
tcf(c_269,plain,
double_divide(iPr_def_11,iPr_def_24) = iPr_def_10,
inference(superposition,[status(thm)],[c_80,c_201]) ).
tcf(c_270,plain,
double_divide(iPr_def_13,iPr_def_24) = iPr_def_12,
inference(superposition,[status(thm)],[c_82,c_201]) ).
tcf(c_271,plain,
double_divide(iPr_def_15,iPr_def_24) = iPr_def_14,
inference(superposition,[status(thm)],[c_84,c_201]) ).
tcf(c_274,plain,
double_divide(iPr_def_21,iPr_def_24) = iPr_def_20,
inference(superposition,[status(thm)],[c_90,c_201]) ).
tcf(c_275,plain,
double_divide(iPr_def_23,iPr_def_24) = iPr_def_22,
inference(superposition,[status(thm)],[c_92,c_201]) ).
tcf(c_308,plain,
! [X0: $i] : double_divide(double_divide(iPr_def_13,double_divide(double_divide(X0,iPr_def_12),double_divide(identity,iPr_def_24))),iPr_def_24) = X0,
inference(superposition,[status(thm)],[c_270,c_169]) ).
tcf(c_309,plain,
! [X0: $i] : double_divide(double_divide(iPr_def_13,double_divide(double_divide(X0,iPr_def_12),identity)),iPr_def_24) = X0,
inference(light_normalisation,[status(thm)],[c_308,c_160]) ).
tcf(c_314,plain,
! [X0: $i] : double_divide(double_divide(iPr_def_15,double_divide(double_divide(X0,iPr_def_14),double_divide(identity,iPr_def_24))),iPr_def_24) = X0,
inference(superposition,[status(thm)],[c_271,c_169]) ).
tcf(c_315,plain,
! [X0: $i] : double_divide(double_divide(iPr_def_15,double_divide(double_divide(X0,iPr_def_14),identity)),iPr_def_24) = X0,
inference(light_normalisation,[status(thm)],[c_314,c_160]) ).
tcf(c_345,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))) = double_divide(double_divide(identity,double_divide(X1,iPr_def_24)),iPr_def_24),
inference(superposition,[status(thm)],[c_169,c_171]) ).
tcf(c_348,plain,
double_divide(double_divide(identity,double_divide(identity,iPr_def_24)),iPr_def_24) = iPr_def_24,
inference(superposition,[status(thm)],[c_267,c_171]) ).
tcf(c_361,plain,
identity = iPr_def_24,
inference(light_normalisation,[status(thm)],[c_348,c_93,c_160,c_267]) ).
tcf(c_366,plain,
! [X0: $i] : double_divide(double_divide(X0,iPr_def_24),iPr_def_24) = X0,
inference(demodulation,[status(thm)],[c_201,c_361]) ).
tcf(c_376,plain,
! [X0: $i] : double_divide(X0,double_divide(X0,iPr_def_24)) = iPr_def_24,
inference(demodulation,[status(thm)],[c_55,c_361]) ).
tcf(c_378,plain,
double_divide(iPr_def_22,iPr_def_24) = iPr_def_23,
inference(demodulation,[status(thm)],[c_92,c_361]) ).
tcf(c_380,plain,
double_divide(iPr_def_18,iPr_def_24) = iPr_def_19,
inference(demodulation,[status(thm)],[c_88,c_361]) ).
tcf(c_382,plain,
double_divide(iPr_def_16,iPr_def_24) = iPr_def_17,
inference(demodulation,[status(thm)],[c_86,c_361]) ).
tcf(c_384,plain,
double_divide(iPr_def_12,iPr_def_24) = iPr_def_13,
inference(demodulation,[status(thm)],[c_82,c_361]) ).
tcf(c_385,plain,
double_divide(iPr_def_10,iPr_def_24) = iPr_def_11,
inference(demodulation,[status(thm)],[c_80,c_361]) ).
tcf(c_386,plain,
( ( iPr_def_24 != iPr_def_24 )
| ( iPr_def_21 != iPr_def_23 )
| ( iPr_def_13 != iPr_def_17 )
| ( a2 != iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_94,c_361]) ).
tcf(c_387,plain,
( ( iPr_def_21 != iPr_def_23 )
| ( iPr_def_13 != iPr_def_17 )
| ( a2 != iPr_def_19 ) ),
inference(equality_resolution_simp,[status(thm)],[c_386]) ).
tcf(c_391,plain,
a2 = iPr_def_19,
inference(demodulation,[status(thm)],[c_268,c_380]) ).
tcf(c_392,plain,
( ( iPr_def_21 != iPr_def_23 )
| ( iPr_def_13 != iPr_def_17 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_387,c_391]) ).
tcf(c_435,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,double_divide(double_divide(X1,iPr_def_24),double_divide(iPr_def_24,double_divide(X0,iPr_def_24)))),iPr_def_24) = X1,
inference(light_normalisation,[status(thm)],[c_172,c_361]) ).
tcf(c_437,plain,
! [X0: $i] : double_divide(double_divide(X0,double_divide(iPr_def_12,double_divide(iPr_def_24,double_divide(X0,iPr_def_24)))),iPr_def_24) = iPr_def_13,
inference(superposition,[status(thm)],[c_270,c_435]) ).
tcf(c_492,plain,
! [X0: $i] : double_divide(double_divide(iPr_def_24,X0),iPr_def_24) = X0,
inference(light_normalisation,[status(thm)],[c_187,c_361,c_366]) ).
tcf(c_495,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,double_divide(X1,double_divide(iPr_def_24,double_divide(X0,iPr_def_24)))),iPr_def_24) = double_divide(iPr_def_24,X1),
inference(superposition,[status(thm)],[c_492,c_435]) ).
tcf(c_498,plain,
! [X0: $i] : double_divide(iPr_def_24,double_divide(X0,iPr_def_24)) = X0,
inference(demodulation,[status(thm)],[c_435,c_495]) ).
tcf(c_544,plain,
! [X0: $i] : double_divide(iPr_def_10,double_divide(double_divide(X0,iPr_def_11),iPr_def_24)) = double_divide(X0,iPr_def_24),
inference(superposition,[status(thm)],[c_208,c_366]) ).
tcf(c_559,plain,
! [X0: $i] : double_divide(X0,iPr_def_24) = double_divide(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_492,c_366]) ).
tcf(c_569,plain,
! [X0: $i] : double_divide(iPr_def_24,double_divide(iPr_def_24,X0)) = X0,
inference(demodulation,[status(thm)],[c_492,c_559]) ).
tcf(c_584,plain,
double_divide(iPr_def_13,iPr_def_12) = iPr_def_24,
inference(superposition,[status(thm)],[c_270,c_376]) ).
tcf(c_588,plain,
double_divide(iPr_def_21,iPr_def_20) = iPr_def_24,
inference(superposition,[status(thm)],[c_274,c_376]) ).
tcf(c_589,plain,
double_divide(iPr_def_23,iPr_def_22) = iPr_def_24,
inference(superposition,[status(thm)],[c_275,c_376]) ).
tcf(c_691,plain,
! [X0: $i] : double_divide(double_divide(iPr_def_13,double_divide(double_divide(X0,iPr_def_12),iPr_def_24)),iPr_def_24) = X0,
inference(light_normalisation,[status(thm)],[c_309,c_361]) ).
tcf(c_692,plain,
! [X0: $i] : double_divide(iPr_def_24,double_divide(iPr_def_13,double_divide(iPr_def_24,double_divide(X0,iPr_def_12)))) = X0,
inference(demodulation,[status(thm)],[c_691,c_559]) ).
tcf(c_695,plain,
! [X0: $i] : double_divide(double_divide(iPr_def_15,double_divide(double_divide(X0,iPr_def_14),iPr_def_24)),iPr_def_24) = X0,
inference(light_normalisation,[status(thm)],[c_315,c_361]) ).
tcf(c_696,plain,
! [X0: $i] : double_divide(iPr_def_24,double_divide(iPr_def_15,double_divide(iPr_def_24,double_divide(X0,iPr_def_14)))) = X0,
inference(demodulation,[status(thm)],[c_695,c_559]) ).
tcf(c_706,plain,
! [X0: $i] : double_divide(X0,double_divide(iPr_def_24,X0)) = iPr_def_24,
inference(superposition,[status(thm)],[c_559,c_376]) ).
tcf(c_728,plain,
! [X0: $i] : double_divide(iPr_def_13,double_divide(iPr_def_24,double_divide(X0,iPr_def_12))) = double_divide(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_692,c_569]) ).
tcf(c_729,plain,
! [X0: $i] : double_divide(iPr_def_15,double_divide(iPr_def_24,double_divide(X0,iPr_def_14))) = double_divide(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_696,c_569]) ).
tcf(c_757,plain,
! [X0: $i] : double_divide(double_divide(X0,iPr_def_24),X0) = iPr_def_24,
inference(superposition,[status(thm)],[c_498,c_706]) ).
tcf(c_759,plain,
! [X0: $i] : double_divide(double_divide(iPr_def_24,X0),X0) = iPr_def_24,
inference(superposition,[status(thm)],[c_569,c_706]) ).
tcf(c_796,plain,
! [X0: $i] : double_divide(double_divide(a4,double_divide(double_divide(X0,iPr_def_20),double_divide(iPr_def_24,b4))),iPr_def_24) = X0,
inference(light_normalisation,[status(thm)],[c_177,c_361]) ).
tcf(c_797,plain,
! [X0: $i] : double_divide(iPr_def_24,double_divide(a4,double_divide(double_divide(X0,iPr_def_20),double_divide(iPr_def_24,b4)))) = X0,
inference(demodulation,[status(thm)],[c_796,c_559]) ).
tcf(c_799,plain,
double_divide(iPr_def_24,double_divide(a4,double_divide(iPr_def_24,double_divide(iPr_def_24,b4)))) = iPr_def_21,
inference(superposition,[status(thm)],[c_588,c_797]) ).
tcf(c_801,plain,
double_divide(iPr_def_24,double_divide(a4,double_divide(iPr_def_24,double_divide(iPr_def_24,b4)))) = double_divide(iPr_def_24,iPr_def_20),
inference(superposition,[status(thm)],[c_759,c_797]) ).
tcf(c_2119,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(iPr_def_24,X2))) = double_divide(double_divide(iPr_def_24,double_divide(X1,iPr_def_24)),iPr_def_24),
inference(light_normalisation,[status(thm)],[c_345,c_361]) ).
tcf(c_2120,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(iPr_def_24,X2))) = double_divide(X1,iPr_def_24),
inference(demodulation,[status(thm)],[c_2119,c_559,c_569]) ).
tcf(c_2132,plain,
! [X0: $i] : double_divide(c3,double_divide(double_divide(X0,iPr_def_10),double_divide(iPr_def_24,b3))) = double_divide(X0,iPr_def_24),
inference(superposition,[status(thm)],[c_79,c_2120]) ).
tcf(c_2133,plain,
! [X0: $i] : double_divide(b4,double_divide(double_divide(X0,iPr_def_22),double_divide(iPr_def_24,a4))) = double_divide(X0,iPr_def_24),
inference(superposition,[status(thm)],[c_91,c_2120]) ).
tcf(c_2135,plain,
! [X0: $i] : double_divide(iPr_def_11,double_divide(double_divide(X0,iPr_def_12),double_divide(iPr_def_24,a3))) = double_divide(X0,iPr_def_24),
inference(superposition,[status(thm)],[c_81,c_2120]) ).
tcf(c_2164,plain,
! [X0: $i,X1: $i] : double_divide(iPr_def_24,double_divide(double_divide(X0,X1),X1)) = double_divide(X0,iPr_def_24),
inference(superposition,[status(thm)],[c_569,c_2120]) ).
tcf(c_2412,plain,
! [X0: $i] : double_divide(double_divide(X0,iPr_def_22),double_divide(double_divide(X0,iPr_def_24),double_divide(iPr_def_24,double_divide(iPr_def_24,a4)))) = double_divide(b4,iPr_def_24),
inference(superposition,[status(thm)],[c_2133,c_2120]) ).
tcf(c_2534,plain,
! [X0: $i] : double_divide(double_divide(X0,iPr_def_12),double_divide(double_divide(X0,iPr_def_24),double_divide(iPr_def_24,double_divide(iPr_def_24,a3)))) = double_divide(iPr_def_11,iPr_def_24),
inference(superposition,[status(thm)],[c_2135,c_2120]) ).
tcf(c_2538,plain,
! [X0: $i] : double_divide(double_divide(X0,iPr_def_12),double_divide(double_divide(X0,iPr_def_24),double_divide(iPr_def_24,double_divide(iPr_def_24,a3)))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2534,c_269]) ).
tcf(c_3985,plain,
! [X0: $i] : double_divide(double_divide(X0,double_divide(iPr_def_12,X0)),iPr_def_24) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_437,c_498]) ).
tcf(c_3986,plain,
! [X0: $i] : double_divide(iPr_def_24,double_divide(X0,double_divide(iPr_def_12,X0))) = iPr_def_13,
inference(demodulation,[status(thm)],[c_3985,c_559]) ).
tcf(c_3999,plain,
! [X0: $i] : double_divide(X0,double_divide(iPr_def_12,X0)) = double_divide(iPr_def_24,iPr_def_13),
inference(superposition,[status(thm)],[c_3986,c_569]) ).
tcf(c_4450,plain,
! [X0: $i] : double_divide(iPr_def_10,double_divide(iPr_def_24,double_divide(X0,iPr_def_11))) = double_divide(X0,iPr_def_24),
inference(demodulation,[status(thm)],[c_544,c_559]) ).
tcf(c_4556,plain,
! [X0: $i] : double_divide(double_divide(X0,iPr_def_12),double_divide(double_divide(X0,iPr_def_24),a3)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_2538,c_569]) ).
tcf(c_4561,plain,
double_divide(double_divide(a3,iPr_def_12),iPr_def_24) = iPr_def_10,
inference(superposition,[status(thm)],[c_757,c_4556]) ).
tcf(c_4566,plain,
double_divide(double_divide(iPr_def_13,iPr_def_12),double_divide(iPr_def_12,a3)) = iPr_def_10,
inference(superposition,[status(thm)],[c_270,c_4556]) ).
tcf(c_4583,plain,
double_divide(iPr_def_24,double_divide(iPr_def_12,a3)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_4566,c_584]) ).
tcf(c_4596,plain,
double_divide(iPr_def_12,a3) = double_divide(iPr_def_24,iPr_def_10),
inference(superposition,[status(thm)],[c_4583,c_569]) ).
tcf(c_4600,plain,
double_divide(iPr_def_24,double_divide(a3,iPr_def_12)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_4561,c_559]) ).
tcf(c_4605,plain,
double_divide(a3,iPr_def_12) = double_divide(iPr_def_24,iPr_def_10),
inference(superposition,[status(thm)],[c_4600,c_569]) ).
tcf(c_4607,plain,
double_divide(a3,iPr_def_12) = double_divide(iPr_def_12,a3),
inference(light_normalisation,[status(thm)],[c_4605,c_4596]) ).
tcf(c_4627,plain,
double_divide(iPr_def_12,a3) = iPr_def_11,
inference(demodulation,[status(thm)],[c_4596,c_385,c_559]) ).
tcf(c_4635,plain,
double_divide(a3,iPr_def_12) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_4607,c_4627]) ).
tcf(c_4722,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,double_divide(X1,X0)),iPr_def_24) = double_divide(iPr_def_24,X1),
inference(light_normalisation,[status(thm)],[c_495,c_498]) ).
tcf(c_4723,plain,
! [X0: $i,X1: $i] : double_divide(iPr_def_24,double_divide(X0,double_divide(X1,X0))) = double_divide(iPr_def_24,X1),
inference(demodulation,[status(thm)],[c_4722,c_559]) ).
tcf(c_4726,plain,
double_divide(iPr_def_24,double_divide(a3,iPr_def_14)) = double_divide(iPr_def_24,b3),
inference(superposition,[status(thm)],[c_83,c_4723]) ).
tcf(c_5094,plain,
double_divide(iPr_def_24,double_divide(iPr_def_24,b3)) = double_divide(a3,iPr_def_14),
inference(superposition,[status(thm)],[c_4726,c_569]) ).
tcf(c_5331,plain,
double_divide(a3,iPr_def_14) = b3,
inference(demodulation,[status(thm)],[c_5094,c_569]) ).
tcf(c_5701,plain,
! [X0: $i] : double_divide(double_divide(X0,iPr_def_22),double_divide(double_divide(X0,iPr_def_24),a4)) = double_divide(iPr_def_24,b4),
inference(demodulation,[status(thm)],[c_2412,c_559,c_569]) ).
tcf(c_5717,plain,
double_divide(double_divide(iPr_def_23,iPr_def_22),double_divide(iPr_def_22,a4)) = double_divide(iPr_def_24,b4),
inference(superposition,[status(thm)],[c_275,c_5701]) ).
tcf(c_5729,plain,
double_divide(iPr_def_24,double_divide(iPr_def_22,a4)) = double_divide(iPr_def_24,b4),
inference(light_normalisation,[status(thm)],[c_5717,c_589]) ).
tcf(c_5809,plain,
double_divide(iPr_def_24,double_divide(iPr_def_24,b4)) = double_divide(iPr_def_22,a4),
inference(superposition,[status(thm)],[c_5729,c_569]) ).
tcf(c_7556,plain,
double_divide(iPr_def_13,double_divide(iPr_def_24,iPr_def_11)) = double_divide(iPr_def_24,a3),
inference(superposition,[status(thm)],[c_4635,c_728]) ).
tcf(c_7853,plain,
double_divide(iPr_def_15,double_divide(iPr_def_24,b3)) = double_divide(iPr_def_24,a3),
inference(superposition,[status(thm)],[c_5331,c_729]) ).
tcf(c_8234,plain,
double_divide(iPr_def_24,double_divide(a4,double_divide(iPr_def_22,a4))) = iPr_def_21,
inference(light_normalisation,[status(thm)],[c_799,c_801,c_5809]) ).
tcf(c_8235,plain,
iPr_def_21 = iPr_def_23,
inference(demodulation,[status(thm)],[c_8234,c_378,c_559,c_4723]) ).
tcf(c_8251,plain,
( ( iPr_def_21 != iPr_def_21 )
| ( iPr_def_13 != iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_392,c_8235]) ).
tcf(c_8255,plain,
iPr_def_13 != iPr_def_17,
inference(equality_resolution_simp,[status(thm)],[c_8251]) ).
tcf(c_8427,plain,
! [X0: $i] : double_divide(X0,double_divide(iPr_def_12,X0)) = iPr_def_12,
inference(demodulation,[status(thm)],[c_3999,c_270,c_559]) ).
tcf(c_8441,plain,
double_divide(a3,iPr_def_11) = iPr_def_12,
inference(superposition,[status(thm)],[c_4627,c_8427]) ).
tcf(c_8506,plain,
double_divide(iPr_def_10,double_divide(iPr_def_24,iPr_def_12)) = double_divide(a3,iPr_def_24),
inference(superposition,[status(thm)],[c_8441,c_4450]) ).
tcf(c_12964,plain,
double_divide(iPr_def_13,iPr_def_10) = double_divide(iPr_def_24,a3),
inference(demodulation,[status(thm)],[c_7556,c_269,c_559]) ).
tcf(c_13182,plain,
double_divide(iPr_def_15,double_divide(iPr_def_24,b3)) = double_divide(iPr_def_13,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_7853,c_12964]) ).
tcf(c_13243,plain,
double_divide(iPr_def_10,iPr_def_13) = double_divide(iPr_def_13,iPr_def_10),
inference(demodulation,[status(thm)],[c_8506,c_384,c_559,c_12964]) ).
tcf(c_13244,plain,
double_divide(iPr_def_15,double_divide(iPr_def_24,b3)) = double_divide(iPr_def_10,iPr_def_13),
inference(demodulation,[status(thm)],[c_13182,c_13243]) ).
tcf(c_13259,plain,
double_divide(c3,double_divide(double_divide(iPr_def_10,iPr_def_13),double_divide(iPr_def_24,b3))) = double_divide(iPr_def_13,iPr_def_24),
inference(superposition,[status(thm)],[c_13243,c_2132]) ).
tcf(c_13263,plain,
double_divide(c3,double_divide(double_divide(iPr_def_10,iPr_def_13),double_divide(iPr_def_24,b3))) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_13259,c_270]) ).
tcf(c_14184,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,X1),X1) = double_divide(iPr_def_24,double_divide(X0,iPr_def_24)),
inference(superposition,[status(thm)],[c_2164,c_569]) ).
tcf(c_14239,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,X1),X1) = X0,
inference(light_normalisation,[status(thm)],[c_14184,c_498]) ).
tcf(c_15230,plain,
double_divide(double_divide(iPr_def_10,iPr_def_13),double_divide(iPr_def_24,b3)) = iPr_def_15,
inference(superposition,[status(thm)],[c_13244,c_14239]) ).
tcf(c_15432,plain,
double_divide(c3,iPr_def_15) = iPr_def_12,
inference(demodulation,[status(thm)],[c_13263,c_15230]) ).
tcf(c_15434,plain,
iPr_def_12 = iPr_def_16,
inference(demodulation,[status(thm)],[c_85,c_15432]) ).
tcf(c_15463,plain,
double_divide(iPr_def_12,iPr_def_24) = iPr_def_17,
inference(demodulation,[status(thm)],[c_382,c_15434]) ).
tcf(c_15466,plain,
iPr_def_13 = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_15463,c_384]) ).
tcf(c_15467,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_15466,c_8255]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP099-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n008.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Wed Sep 23 13:32:11 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.41
% 0.12/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.43 % Proving...
% 10.16/2.17 % SZS status Started for theBenchmark.p
% 10.16/2.17 % SZS status Unsatisfiable for theBenchmark.p
% 10.16/2.17
% 10.16/2.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.16/2.17
% 10.16/2.17 % ------ iProver source info
% 10.16/2.17
% 10.16/2.17 % git: date: 2026-07-19 20:42:38 +0200
% 10.16/2.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.16/2.17 % git: non_committed_changes: false
% 10.16/2.17
% 10.16/2.17 % ------ Parsing...% successful
% 10.16/2.17
% 10.16/2.17
% 10.16/2.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.16/2.17
% 10.16/2.17 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 10.16/2.17
% 10.16/2.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.16/2.17
% 10.16/2.17 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 10.16/2.17 % ------ Proving...
% 10.16/2.17 % ------ Problem Properties
% 10.16/2.17
% 10.16/2.17 %
% 10.16/2.17 % clauses 18
% 10.16/2.17 % conjectures 0
% 10.16/2.17 % EPR 1
% 10.16/2.17 % Horn 18
% 10.16/2.17 % unary 17
% 10.16/2.17 % binary 0
% 10.16/2.17 % lits 21
% 10.16/2.17 % lits eq 21
% 10.16/2.17 % fd_pure 0
% 10.16/2.17 % fd_pseudo 0
% 10.16/2.17 % fd_cond 0
% 10.16/2.17 % fd_pseudo_cond 0
% 10.16/2.17 % AC symbols 0
% 10.16/2.17
% 10.16/2.17 % ------ Schedule dynamic 5 is on
% 10.16/2.17
% 10.16/2.17 % ------ no conjectures: strip conj schedule
% 10.16/2.17
% 10.16/2.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 10.16/2.17
% 10.16/2.17
% 10.16/2.17 % ------
% 10.16/2.17 % Current options:
% 10.16/2.17 % ------
% 10.16/2.17
% 10.16/2.17
% 10.16/2.17 %
% 10.16/2.17
% 10.16/2.17 % ------ Proving...
% 10.16/2.17 %
% 10.16/2.17
% 10.16/2.17 % SZS status Unsatisfiable for theBenchmark.p
% 10.16/2.17
% 10.16/2.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.16/2.17
% 10.16/2.17
%------------------------------------------------------------------------------