%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP076-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n007.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 01:30:40 PM UTC 2026
% Result : Unsatisfiable 10.26s 2.28s
% Output : CNFRefutation 10.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 16
% Syntax : Number of formulae : 150 ( 142 unt; 11 def)
% Number of atoms : 581 ( 164 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 39 ( 24 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 12 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 89 ( 0 sgn 89 !; 0 ?; 81 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),double_divide(identity,identity)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(identity,a2) != a2
| multiply(inverse(a1),a1) != identity ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f6,plain,
( 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(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]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),double_divide(identity,identity)) = X2,
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(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_69,plain,
( ( double_divide(identity,identity) != 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_76,definition,
iPr_def_10 = double_divide(c3,b3),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_77,definition,
iPr_def_11 = double_divide(iPr_def_10,identity),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_78,definition,
iPr_def_12 = double_divide(iPr_def_11,a3),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_79,definition,
iPr_def_13 = double_divide(iPr_def_12,identity),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_80,definition,
iPr_def_14 = double_divide(b3,a3),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_81,definition,
iPr_def_15 = double_divide(iPr_def_14,identity),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_82,definition,
iPr_def_16 = double_divide(c3,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_83,definition,
iPr_def_17 = double_divide(iPr_def_16,identity),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_84,definition,
iPr_def_18 = double_divide(a2,identity),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_85,definition,
iPr_def_19 = double_divide(iPr_def_18,identity),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_86,definition,
iPr_def_20 = double_divide(identity,identity),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_87,plain,
( ( iPr_def_20 != identity )
| ( iPr_def_19 != a2 )
| ( iPr_def_13 != iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_69,c_86,c_84,c_85,c_80,c_81,c_82,c_83,c_76,c_77,c_78,c_79]) ).
tcf(c_142,plain,
double_divide(identity,iPr_def_20) = identity,
inference(superposition,[status(thm)],[c_86,c_55]) ).
tcf(c_143,plain,
double_divide(a2,iPr_def_18) = identity,
inference(superposition,[status(thm)],[c_84,c_55]) ).
tcf(c_148,plain,
double_divide(iPr_def_18,iPr_def_19) = identity,
inference(superposition,[status(thm)],[c_85,c_55]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),iPr_def_20) = X2,
inference(light_normalisation,[status(thm)],[c_54,c_86]) ).
tcf(c_152,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(double_divide(iPr_def_20,X0),iPr_def_20)),iPr_def_20) = X0,
inference(superposition,[status(thm)],[c_86,c_149]) ).
tcf(c_154,plain,
! [X0: $i] : double_divide(double_divide(a2,double_divide(double_divide(iPr_def_18,X0),double_divide(identity,identity))),iPr_def_20) = X0,
inference(superposition,[status(thm)],[c_84,c_149]) ).
tcf(c_163,plain,
! [X0: $i] : double_divide(double_divide(iPr_def_18,double_divide(double_divide(iPr_def_19,X0),double_divide(identity,identity))),iPr_def_20) = X0,
inference(superposition,[status(thm)],[c_85,c_149]) ).
tcf(c_170,plain,
! [X0: $i] : double_divide(double_divide(iPr_def_18,double_divide(double_divide(identity,X0),double_divide(iPr_def_19,identity))),iPr_def_20) = X0,
inference(superposition,[status(thm)],[c_148,c_149]) ).
tcf(c_173,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,a2),X1),iPr_def_18)),iPr_def_20) = X1,
inference(superposition,[status(thm)],[c_84,c_149]) ).
tcf(c_182,plain,
! [X0: $i] : double_divide(double_divide(iPr_def_18,double_divide(double_divide(iPr_def_19,X0),iPr_def_20)),iPr_def_20) = X0,
inference(light_normalisation,[status(thm)],[c_163,c_86]) ).
tcf(c_187,plain,
! [X0: $i] : double_divide(double_divide(a2,double_divide(double_divide(iPr_def_18,X0),iPr_def_20)),iPr_def_20) = X0,
inference(light_normalisation,[status(thm)],[c_154,c_86]) ).
tcf(c_244,plain,
double_divide(double_divide(identity,double_divide(identity,iPr_def_20)),iPr_def_20) = double_divide(iPr_def_20,identity),
inference(superposition,[status(thm)],[c_55,c_152]) ).
tcf(c_247,plain,
double_divide(iPr_def_20,identity) = double_divide(iPr_def_20,iPr_def_20),
inference(light_normalisation,[status(thm)],[c_244,c_86,c_142]) ).
tcf(c_266,plain,
double_divide(double_divide(identity,double_divide(double_divide(iPr_def_20,iPr_def_20),iPr_def_20)),iPr_def_20) = identity,
inference(superposition,[status(thm)],[c_247,c_152]) ).
tcf(c_294,plain,
double_divide(identity,iPr_def_20) = identity,
inference(superposition,[status(thm)],[c_86,c_55]) ).
tcf(c_414,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),iPr_def_20) = X2,
inference(light_normalisation,[status(thm)],[c_54,c_86]) ).
tcf(c_417,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(double_divide(iPr_def_20,X0),iPr_def_20)),iPr_def_20) = X0,
inference(superposition,[status(thm)],[c_86,c_414]) ).
tcf(c_746,plain,
! [X0: $i] : double_divide(double_divide(a2,X0),iPr_def_20) = double_divide(double_divide(iPr_def_19,X0),iPr_def_20),
inference(superposition,[status(thm)],[c_182,c_187]) ).
tcf(c_750,plain,
double_divide(double_divide(a2,double_divide(identity,iPr_def_20)),iPr_def_20) = iPr_def_19,
inference(superposition,[status(thm)],[c_148,c_187]) ).
tcf(c_753,plain,
double_divide(iPr_def_18,iPr_def_20) = iPr_def_19,
inference(light_normalisation,[status(thm)],[c_750,c_84,c_142]) ).
tcf(c_758,plain,
! [X0: $i] : double_divide(double_divide(iPr_def_19,double_divide(double_divide(iPr_def_18,X0),iPr_def_20)),iPr_def_20) = X0,
inference(demodulation,[status(thm)],[c_187,c_746]) ).
tcf(c_795,plain,
identity = iPr_def_20,
inference(demodulation,[status(thm)],[c_266,c_152]) ).
tcf(c_817,plain,
double_divide(a2,iPr_def_18) = iPr_def_20,
inference(demodulation,[status(thm)],[c_143,c_795]) ).
tcf(c_819,plain,
! [X0: $i] : double_divide(X0,double_divide(X0,iPr_def_20)) = iPr_def_20,
inference(demodulation,[status(thm)],[c_55,c_795]) ).
tcf(c_820,plain,
double_divide(iPr_def_20,iPr_def_20) = iPr_def_20,
inference(demodulation,[status(thm)],[c_86,c_795]) ).
tcf(c_827,plain,
( ( iPr_def_20 != iPr_def_20 )
| ( iPr_def_13 != iPr_def_17 )
| ( a2 != iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_87,c_795]) ).
tcf(c_828,plain,
( ( iPr_def_13 != iPr_def_17 )
| ( a2 != iPr_def_19 ) ),
inference(equality_resolution_simp,[status(thm)],[c_827]) ).
tcf(c_941,plain,
double_divide(double_divide(iPr_def_19,iPr_def_18),iPr_def_20) = double_divide(iPr_def_20,iPr_def_20),
inference(superposition,[status(thm)],[c_817,c_746]) ).
tcf(c_946,plain,
double_divide(double_divide(iPr_def_19,iPr_def_18),iPr_def_20) = iPr_def_20,
inference(light_normalisation,[status(thm)],[c_941,c_820]) ).
tcf(c_952,plain,
double_divide(double_divide(iPr_def_18,iPr_def_20),iPr_def_20) = iPr_def_18,
inference(superposition,[status(thm)],[c_946,c_182]) ).
tcf(c_953,plain,
double_divide(iPr_def_19,iPr_def_20) = iPr_def_18,
inference(light_normalisation,[status(thm)],[c_952,c_753]) ).
tcf(c_1005,plain,
! [X0: $i] : double_divide(double_divide(iPr_def_18,double_divide(double_divide(iPr_def_20,X0),iPr_def_18)),iPr_def_20) = X0,
inference(light_normalisation,[status(thm)],[c_170,c_795,c_953]) ).
tcf(c_1006,plain,
double_divide(double_divide(iPr_def_18,double_divide(iPr_def_20,iPr_def_18)),iPr_def_20) = iPr_def_20,
inference(superposition,[status(thm)],[c_820,c_1005]) ).
tcf(c_1113,plain,
double_divide(double_divide(identity,double_divide(identity,iPr_def_20)),iPr_def_20) = double_divide(iPr_def_20,identity),
inference(superposition,[status(thm)],[c_55,c_417]) ).
tcf(c_1116,plain,
double_divide(iPr_def_20,identity) = double_divide(iPr_def_20,iPr_def_20),
inference(light_normalisation,[status(thm)],[c_1113,c_86,c_294]) ).
tcf(c_1134,plain,
! [X0: $i] : double_divide(double_divide(X0,double_divide(iPr_def_20,iPr_def_18)),iPr_def_20) = double_divide(double_divide(X0,a2),iPr_def_20),
inference(superposition,[status(thm)],[c_819,c_173]) ).
tcf(c_1169,plain,
double_divide(double_divide(identity,double_divide(double_divide(iPr_def_20,iPr_def_20),iPr_def_20)),iPr_def_20) = identity,
inference(superposition,[status(thm)],[c_1116,c_417]) ).
tcf(c_1291,plain,
double_divide(double_divide(iPr_def_18,a2),iPr_def_20) = iPr_def_20,
inference(demodulation,[status(thm)],[c_1006,c_1134]) ).
tcf(c_1293,plain,
double_divide(double_divide(iPr_def_19,iPr_def_20),iPr_def_20) = a2,
inference(superposition,[status(thm)],[c_1291,c_758]) ).
tcf(c_1295,plain,
a2 = iPr_def_19,
inference(light_normalisation,[status(thm)],[c_1293,c_753,c_953]) ).
tcf(c_3743,plain,
identity = iPr_def_20,
inference(demodulation,[status(thm)],[c_1169,c_417]) ).
tcf(c_3913,plain,
iPr_def_13 != iPr_def_17,
inference(global_subsumption_just,[status(thm)],[c_87,c_828,c_1295]) ).
tcf(c_3915,plain,
double_divide(iPr_def_10,iPr_def_20) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_77,c_3743]) ).
tcf(c_3916,plain,
double_divide(iPr_def_12,iPr_def_20) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_79,c_3743]) ).
tcf(c_3917,plain,
double_divide(iPr_def_14,iPr_def_20) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_81,c_3743]) ).
tcf(c_3918,plain,
double_divide(iPr_def_20,iPr_def_20) = iPr_def_20,
inference(light_normalisation,[status(thm)],[c_86,c_3743]) ).
tcf(c_3919,plain,
double_divide(iPr_def_16,iPr_def_20) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_83,c_3743]) ).
tcf(c_3922,plain,
! [X0: $i] : double_divide(X0,double_divide(X0,iPr_def_20)) = iPr_def_20,
inference(light_normalisation,[status(thm)],[c_55,c_3743]) ).
tcf(c_3928,plain,
double_divide(iPr_def_10,iPr_def_11) = iPr_def_20,
inference(superposition,[status(thm)],[c_3915,c_3922]) ).
tcf(c_3929,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,iPr_def_20))),iPr_def_20) = X2,
inference(light_normalisation,[status(thm)],[c_54,c_3743,c_3918]) ).
tcf(c_3931,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,double_divide(iPr_def_20,double_divide(X1,iPr_def_20))),iPr_def_20) = double_divide(double_divide(X0,X1),iPr_def_20),
inference(superposition,[status(thm)],[c_3922,c_3929]) ).
tcf(c_3932,plain,
! [X0: $i] : double_divide(double_divide(b3,double_divide(double_divide(iPr_def_14,X0),double_divide(a3,iPr_def_20))),iPr_def_20) = X0,
inference(superposition,[status(thm)],[c_80,c_3929]) ).
tcf(c_3934,plain,
! [X0: $i] : double_divide(double_divide(iPr_def_11,double_divide(double_divide(iPr_def_12,X0),double_divide(a3,iPr_def_20))),iPr_def_20) = X0,
inference(superposition,[status(thm)],[c_78,c_3929]) ).
tcf(c_3935,plain,
! [X0: $i] : double_divide(double_divide(c3,double_divide(double_divide(iPr_def_16,X0),double_divide(iPr_def_15,iPr_def_20))),iPr_def_20) = X0,
inference(superposition,[status(thm)],[c_82,c_3929]) ).
tcf(c_3942,plain,
! [X0: $i] : double_divide(double_divide(iPr_def_20,double_divide(double_divide(iPr_def_20,X0),iPr_def_20)),iPr_def_20) = X0,
inference(superposition,[status(thm)],[c_3918,c_3929]) ).
tcf(c_3950,plain,
! [X0: $i] : double_divide(double_divide(iPr_def_10,double_divide(double_divide(iPr_def_11,X0),double_divide(iPr_def_20,iPr_def_20))),iPr_def_20) = X0,
inference(superposition,[status(thm)],[c_3915,c_3929]) ).
tcf(c_3952,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,iPr_def_12),X1),iPr_def_13)),iPr_def_20) = X1,
inference(superposition,[status(thm)],[c_3916,c_3929]) ).
tcf(c_3958,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,iPr_def_10),X1),iPr_def_11)),iPr_def_20) = X1,
inference(superposition,[status(thm)],[c_3915,c_3929]) ).
tcf(c_3963,plain,
! [X0: $i] : double_divide(double_divide(iPr_def_10,double_divide(double_divide(iPr_def_11,X0),iPr_def_20)),iPr_def_20) = X0,
inference(light_normalisation,[status(thm)],[c_3950,c_3918]) ).
tcf(c_3995,plain,
double_divide(double_divide(iPr_def_10,double_divide(iPr_def_12,iPr_def_20)),iPr_def_20) = a3,
inference(superposition,[status(thm)],[c_78,c_3963]) ).
tcf(c_4001,plain,
double_divide(double_divide(iPr_def_10,iPr_def_13),iPr_def_20) = a3,
inference(light_normalisation,[status(thm)],[c_3995,c_3916]) ).
tcf(c_4007,plain,
double_divide(double_divide(iPr_def_10,double_divide(a3,double_divide(iPr_def_13,iPr_def_20))),iPr_def_20) = iPr_def_20,
inference(superposition,[status(thm)],[c_4001,c_3929]) ).
tcf(c_4029,plain,
! [X0: $i] : double_divide(double_divide(iPr_def_10,double_divide(double_divide(iPr_def_11,X0),iPr_def_20)),iPr_def_20) = double_divide(iPr_def_20,double_divide(X0,iPr_def_20)),
inference(superposition,[status(thm)],[c_3931,c_3963]) ).
tcf(c_4033,plain,
! [X0: $i] : double_divide(iPr_def_20,double_divide(X0,iPr_def_20)) = X0,
inference(light_normalisation,[status(thm)],[c_4029,c_3963]) ).
tcf(c_4037,plain,
! [X0: $i] : double_divide(double_divide(iPr_def_20,X0),iPr_def_20) = X0,
inference(demodulation,[status(thm)],[c_3942,c_4033]) ).
tcf(c_4050,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(double_divide(b3,double_divide(double_divide(iPr_def_14,X0),double_divide(a3,iPr_def_20))),double_divide(double_divide(X0,X1),double_divide(iPr_def_20,iPr_def_20))),iPr_def_20) = X1,
inference(superposition,[status(thm)],[c_3932,c_3929]) ).
tcf(c_4053,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,double_divide(b3,double_divide(double_divide(iPr_def_14,X1),double_divide(a3,iPr_def_20)))),X2),X1)),iPr_def_20) = X2,
inference(superposition,[status(thm)],[c_3932,c_3929]) ).
tcf(c_4055,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(double_divide(b3,double_divide(double_divide(iPr_def_14,X0),double_divide(a3,iPr_def_20))),double_divide(double_divide(X0,X1),iPr_def_20)),iPr_def_20) = X1,
inference(light_normalisation,[status(thm)],[c_4050,c_3918]) ).
tcf(c_4072,plain,
! [X0: $i] : double_divide(double_divide(iPr_def_12,X0),double_divide(a3,iPr_def_20)) = double_divide(double_divide(iPr_def_10,X0),iPr_def_20),
inference(superposition,[status(thm)],[c_3934,c_3963]) ).
tcf(c_4077,plain,
! [X0: $i] : double_divide(double_divide(iPr_def_11,double_divide(double_divide(iPr_def_10,X0),iPr_def_20)),iPr_def_20) = X0,
inference(demodulation,[status(thm)],[c_3934,c_4072]) ).
tcf(c_4109,plain,
double_divide(iPr_def_20,iPr_def_11) = iPr_def_10,
inference(superposition,[status(thm)],[c_3915,c_4033]) ).
tcf(c_4111,plain,
! [X0: $i] : double_divide(b3,double_divide(double_divide(iPr_def_14,X0),double_divide(a3,iPr_def_20))) = double_divide(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_3932,c_4033]) ).
tcf(c_4113,plain,
! [X0: $i] : double_divide(c3,double_divide(double_divide(iPr_def_16,X0),double_divide(iPr_def_15,iPr_def_20))) = double_divide(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_3935,c_4033]) ).
tcf(c_4132,plain,
! [X0: $i] : double_divide(double_divide(iPr_def_20,X0),X0) = iPr_def_20,
inference(superposition,[status(thm)],[c_4037,c_3922]) ).
tcf(c_4185,plain,
double_divide(double_divide(iPr_def_11,double_divide(iPr_def_20,iPr_def_20)),iPr_def_20) = iPr_def_11,
inference(superposition,[status(thm)],[c_3928,c_4077]) ).
tcf(c_4188,plain,
! [X0: $i] : double_divide(iPr_def_11,double_divide(double_divide(iPr_def_10,X0),iPr_def_20)) = double_divide(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_4077,c_4033]) ).
tcf(c_4191,plain,
double_divide(double_divide(iPr_def_11,iPr_def_20),iPr_def_20) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_4185,c_3918]) ).
tcf(c_4202,plain,
! [X0: $i] : double_divide(double_divide(double_divide(iPr_def_20,iPr_def_12),X0),iPr_def_13) = X0,
inference(superposition,[status(thm)],[c_3952,c_4037]) ).
tcf(c_4218,plain,
double_divide(iPr_def_11,iPr_def_20) = double_divide(iPr_def_20,iPr_def_11),
inference(superposition,[status(thm)],[c_4191,c_4033]) ).
tcf(c_4220,plain,
double_divide(iPr_def_11,iPr_def_20) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_4218,c_4109]) ).
tcf(c_4222,plain,
double_divide(iPr_def_20,iPr_def_10) = iPr_def_11,
inference(superposition,[status(thm)],[c_4220,c_4033]) ).
tcf(c_4303,plain,
! [X0: $i] : double_divide(double_divide(double_divide(iPr_def_20,iPr_def_10),X0),iPr_def_11) = X0,
inference(superposition,[status(thm)],[c_3958,c_4037]) ).
tcf(c_4306,plain,
! [X0: $i] : double_divide(double_divide(iPr_def_11,X0),iPr_def_11) = X0,
inference(light_normalisation,[status(thm)],[c_4303,c_4222]) ).
tcf(c_4319,plain,
double_divide(iPr_def_12,iPr_def_11) = a3,
inference(superposition,[status(thm)],[c_78,c_4306]) ).
tcf(c_4451,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(double_divide(iPr_def_20,X0),double_divide(double_divide(X0,X1),iPr_def_20)),iPr_def_20) = X1,
inference(light_normalisation,[status(thm)],[c_4055,c_4111]) ).
tcf(c_4469,plain,
double_divide(double_divide(double_divide(iPr_def_20,c3),double_divide(iPr_def_10,iPr_def_20)),iPr_def_20) = b3,
inference(superposition,[status(thm)],[c_76,c_4451]) ).
tcf(c_4491,plain,
! [X0: $i] : double_divide(double_divide(double_divide(iPr_def_20,c3),double_divide(double_divide(iPr_def_20,X0),iPr_def_20)),iPr_def_20) = double_divide(double_divide(iPr_def_16,X0),double_divide(iPr_def_15,iPr_def_20)),
inference(superposition,[status(thm)],[c_4113,c_4451]) ).
tcf(c_4509,plain,
! [X0: $i] : double_divide(double_divide(double_divide(iPr_def_20,double_divide(iPr_def_20,X0)),double_divide(iPr_def_20,iPr_def_20)),iPr_def_20) = X0,
inference(superposition,[status(thm)],[c_4132,c_4451]) ).
tcf(c_4511,plain,
double_divide(double_divide(double_divide(iPr_def_20,iPr_def_12),double_divide(a3,iPr_def_20)),iPr_def_20) = iPr_def_11,
inference(superposition,[status(thm)],[c_4319,c_4451]) ).
tcf(c_4516,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(double_divide(iPr_def_20,double_divide(iPr_def_20,X0)),X1),iPr_def_20) = double_divide(double_divide(X0,X1),iPr_def_20),
inference(superposition,[status(thm)],[c_4451,c_4451]) ).
tcf(c_4538,plain,
double_divide(double_divide(double_divide(iPr_def_20,c3),iPr_def_11),iPr_def_20) = b3,
inference(light_normalisation,[status(thm)],[c_4469,c_3915]) ).
tcf(c_4540,plain,
! [X0: $i] : double_divide(double_divide(double_divide(iPr_def_20,double_divide(iPr_def_20,X0)),iPr_def_20),iPr_def_20) = X0,
inference(light_normalisation,[status(thm)],[c_4509,c_3918]) ).
tcf(c_4550,plain,
! [X0: $i] : double_divide(double_divide(double_divide(iPr_def_20,c3),X0),iPr_def_20) = double_divide(double_divide(iPr_def_16,X0),double_divide(iPr_def_15,iPr_def_20)),
inference(light_normalisation,[status(thm)],[c_4491,c_4037]) ).
tcf(c_5196,plain,
double_divide(double_divide(iPr_def_16,iPr_def_11),double_divide(iPr_def_15,iPr_def_20)) = b3,
inference(demodulation,[status(thm)],[c_4538,c_4550]) ).
tcf(c_5199,plain,
double_divide(double_divide(iPr_def_20,iPr_def_12),double_divide(a3,iPr_def_20)) = double_divide(iPr_def_20,iPr_def_11),
inference(superposition,[status(thm)],[c_4511,c_4033]) ).
tcf(c_5201,plain,
double_divide(double_divide(iPr_def_20,iPr_def_12),double_divide(a3,iPr_def_20)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_5199,c_4109]) ).
tcf(c_5203,plain,
double_divide(a3,iPr_def_20) = double_divide(iPr_def_10,iPr_def_13),
inference(superposition,[status(thm)],[c_5201,c_4202]) ).
tcf(c_5205,plain,
! [X0: $i] : double_divide(b3,double_divide(double_divide(iPr_def_14,X0),double_divide(iPr_def_10,iPr_def_13))) = double_divide(iPr_def_20,X0),
inference(demodulation,[status(thm)],[c_4111,c_5203]) ).
tcf(c_5473,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,double_divide(b3,double_divide(double_divide(iPr_def_14,X1),double_divide(iPr_def_10,iPr_def_13)))),X2),X1)),iPr_def_20) = X2,
inference(light_normalisation,[status(thm)],[c_4053,c_5203]) ).
tcf(c_5474,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,double_divide(iPr_def_20,X1)),X2),X1)),iPr_def_20) = X2,
inference(demodulation,[status(thm)],[c_5473,c_5205]) ).
tcf(c_5501,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(double_divide(iPr_def_20,double_divide(iPr_def_20,X0)),X1),X0) = X1,
inference(superposition,[status(thm)],[c_5474,c_4037]) ).
tcf(c_6027,plain,
double_divide(iPr_def_10,double_divide(a3,double_divide(iPr_def_13,iPr_def_20))) = double_divide(iPr_def_20,iPr_def_20),
inference(superposition,[status(thm)],[c_4007,c_4033]) ).
tcf(c_6028,plain,
double_divide(iPr_def_10,double_divide(a3,double_divide(iPr_def_13,iPr_def_20))) = iPr_def_20,
inference(light_normalisation,[status(thm)],[c_6027,c_3918]) ).
tcf(c_6331,plain,
double_divide(iPr_def_20,double_divide(a3,double_divide(iPr_def_13,iPr_def_20))) = double_divide(iPr_def_11,double_divide(iPr_def_20,iPr_def_20)),
inference(superposition,[status(thm)],[c_6028,c_4188]) ).
tcf(c_6338,plain,
double_divide(iPr_def_20,double_divide(a3,double_divide(iPr_def_13,iPr_def_20))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_6331,c_3918,c_4220]) ).
tcf(c_6343,plain,
double_divide(a3,double_divide(iPr_def_13,iPr_def_20)) = double_divide(iPr_def_10,iPr_def_20),
inference(superposition,[status(thm)],[c_6338,c_4037]) ).
tcf(c_6344,plain,
double_divide(a3,double_divide(iPr_def_13,iPr_def_20)) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_6343,c_3915]) ).
tcf(c_6430,plain,
! [X0: $i] : double_divide(double_divide(X0,iPr_def_20),iPr_def_20) = X0,
inference(demodulation,[status(thm)],[c_4540,c_4516]) ).
tcf(c_6433,plain,
double_divide(iPr_def_13,iPr_def_20) = iPr_def_12,
inference(superposition,[status(thm)],[c_3916,c_6430]) ).
tcf(c_6437,plain,
double_divide(iPr_def_15,iPr_def_20) = iPr_def_14,
inference(superposition,[status(thm)],[c_3917,c_6430]) ).
tcf(c_6444,plain,
! [X0: $i] : double_divide(X0,iPr_def_20) = double_divide(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_6430,c_4033]) ).
tcf(c_6451,plain,
double_divide(double_divide(iPr_def_16,iPr_def_11),iPr_def_14) = b3,
inference(demodulation,[status(thm)],[c_5196,c_6437]) ).
tcf(c_6454,plain,
double_divide(a3,iPr_def_12) = iPr_def_11,
inference(demodulation,[status(thm)],[c_6344,c_6433]) ).
tcf(c_6458,plain,
! [X0: $i] : double_divide(iPr_def_20,double_divide(iPr_def_20,X0)) = X0,
inference(demodulation,[status(thm)],[c_4037,c_6444]) ).
tcf(c_10359,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,X1),X0) = X1,
inference(light_normalisation,[status(thm)],[c_5501,c_6458]) ).
tcf(c_10369,plain,
double_divide(iPr_def_14,b3) = a3,
inference(superposition,[status(thm)],[c_80,c_10359]) ).
tcf(c_10405,plain,
double_divide(iPr_def_11,a3) = iPr_def_12,
inference(superposition,[status(thm)],[c_6454,c_10359]) ).
tcf(c_10407,plain,
double_divide(b3,double_divide(iPr_def_16,iPr_def_11)) = iPr_def_14,
inference(superposition,[status(thm)],[c_6451,c_10359]) ).
tcf(c_10438,plain,
double_divide(iPr_def_14,b3) = double_divide(iPr_def_16,iPr_def_11),
inference(superposition,[status(thm)],[c_10407,c_10359]) ).
tcf(c_10439,plain,
double_divide(iPr_def_16,iPr_def_11) = a3,
inference(light_normalisation,[status(thm)],[c_10438,c_10369]) ).
tcf(c_10442,plain,
double_divide(a3,iPr_def_16) = iPr_def_11,
inference(superposition,[status(thm)],[c_10439,c_10359]) ).
tcf(c_10445,plain,
double_divide(iPr_def_11,a3) = iPr_def_16,
inference(superposition,[status(thm)],[c_10442,c_10359]) ).
tcf(c_10446,plain,
iPr_def_12 = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_10445,c_10405]) ).
tcf(c_10456,plain,
double_divide(iPr_def_12,iPr_def_20) = iPr_def_17,
inference(demodulation,[status(thm)],[c_3919,c_10446]) ).
tcf(c_10458,plain,
iPr_def_13 = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_10456,c_3916]) ).
tcf(c_10459,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_10458,c_3913]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP076-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 13:25:52 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.41 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 10.26/2.28 % SZS status Started for theBenchmark.p
% 10.26/2.28 % SZS status Unsatisfiable for theBenchmark.p
% 10.26/2.28
% 10.26/2.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.26/2.28
% 10.26/2.28 % ------ iProver source info
% 10.26/2.28
% 10.26/2.28 % git: date: 2026-07-19 20:42:38 +0200
% 10.26/2.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.26/2.28 % git: non_committed_changes: false
% 10.26/2.28
% 10.26/2.28 % ------ Parsing...% successful
% 10.26/2.28
% 10.26/2.28
% 10.26/2.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.26/2.28
% 10.26/2.28 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 10.26/2.28
% 10.26/2.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.26/2.28
% 10.26/2.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 10.26/2.28 % ------ Proving...
% 10.26/2.28 % ------ Problem Properties
% 10.26/2.28
% 10.26/2.28 %
% 10.26/2.28 % clauses 14
% 10.26/2.28 % conjectures 0
% 10.26/2.28 % EPR 1
% 10.26/2.28 % Horn 14
% 10.26/2.28 % unary 13
% 10.26/2.28 % binary 0
% 10.26/2.28 % lits 16
% 10.26/2.28 % lits eq 16
% 10.26/2.28 % fd_pure 0
% 10.26/2.28 % fd_pseudo 0
% 10.26/2.28 % fd_cond 0
% 10.26/2.28 % fd_pseudo_cond 0
% 10.26/2.28 % AC symbols 0
% 10.26/2.28
% 10.26/2.28 % ------ Schedule dynamic 5 is on
% 10.26/2.28
% 10.26/2.28 % ------ no conjectures: strip conj schedule
% 10.26/2.28
% 10.26/2.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 10.26/2.28
% 10.26/2.28
% 10.26/2.28 % ------
% 10.26/2.28 % Current options:
% 10.26/2.28 % ------
% 10.26/2.28
% 10.26/2.28
% 10.26/2.28 %
% 10.26/2.28
% 10.26/2.28 % ------ Proving...
% 10.26/2.28 %
% 10.26/2.28
% 10.26/2.28 % SZS status Unsatisfiable for theBenchmark.p
% 10.26/2.28
% 10.26/2.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.26/2.29
% 10.26/2.29
%------------------------------------------------------------------------------