%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP583-1 : 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 : n012.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 01:34:47 PM UTC 2026
% Result : Unsatisfiable 4.04s 1.09s
% Output : CNFRefutation 4.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 5
% Syntax : Number of formulae : 168 ( 168 unt; 0 def)
% Number of atoms : 442 ( 167 equ)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 10 ( 10 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 327 ( 0 sgn 327 !; 0 ?; 319 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),double_divide(identity,identity)) = X2,
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(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f6,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f7,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),
inference(definition_unfolding,[],[f5,f2,f2,f2,f2]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),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,[],[f6]) ).
tcf(c_56,negated_conjecture,
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,[],[f7]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0))))),double_divide(X3,X2))),double_divide(identity,identity)) = X3,
inference(superposition,[status(thm)],[c_54,c_54]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))) = double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X2)),double_divide(identity,identity)),
inference(superposition,[status(thm)],[c_54,c_54]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,double_divide(identity,double_divide(X1,double_divide(double_divide(identity,identity),X0)))),double_divide(identity,identity)) = X1,
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(identity,X0),double_divide(X1,identity))),double_divide(identity,identity)) = X1,
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_68,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),double_divide(identity,identity)) = X0,
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_74,plain,
double_divide(identity,identity) = identity,
inference(superposition,[status(thm)],[c_55,c_68]) ).
tcf(c_92,plain,
! [X0: $i] : double_divide(double_divide(double_divide(X0,identity),identity),double_divide(identity,identity)) = double_divide(identity,X0),
inference(superposition,[status(thm)],[c_55,c_67]) ).
tcf(c_102,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X0)),double_divide(identity,identity)) = double_divide(identity,double_divide(double_divide(identity,X0),identity)),
inference(superposition,[status(thm)],[c_55,c_65]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X0)),double_divide(identity,identity)),identity)),double_divide(identity,identity)) = double_divide(double_divide(identity,X1),double_divide(X0,double_divide(X1,identity))),
inference(superposition,[status(thm)],[c_65,c_68]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))))),double_divide(identity,identity)) = double_divide(identity,double_divide(double_divide(identity,identity),X2)),
inference(superposition,[status(thm)],[c_65,c_54]) ).
tcf(c_134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))) = double_divide(X3,double_divide(double_divide(identity,X4),double_divide(X2,double_divide(X4,X3)))),
inference(superposition,[status(thm)],[c_65,c_65]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(double_divide(identity,X1),double_divide(identity,double_divide(X1,X0)))) = identity,
inference(superposition,[status(thm)],[c_65,c_68]) ).
tcf(c_160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(identity,X1),double_divide(double_divide(identity,identity),double_divide(X1,X0))))),X2)),double_divide(identity,identity)) = double_divide(X3,double_divide(double_divide(identity,X4),double_divide(X2,double_divide(X4,X3)))),
inference(superposition,[status(thm)],[c_54,c_63]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(identity,X1),double_divide(double_divide(identity,identity),double_divide(X1,X0))))),X2)),double_divide(identity,identity)) = double_divide(identity,double_divide(double_divide(identity,X2),identity)),
inference(superposition,[status(thm)],[c_68,c_63]) ).
tcf(c_174,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))) = iPr_def_10(X2),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_134]) ).
tcf(c_185,plain,
! [X0: $i] : double_divide(identity,double_divide(double_divide(identity,iPr_def_10(X0)),identity)) = double_divide(identity,double_divide(double_divide(identity,identity),X0)),
inference(demodulation,[status(thm)],[c_132,c_102,c_174]) ).
tcf(c_186,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),identity)),double_divide(identity,identity)) = double_divide(double_divide(identity,X1),double_divide(X0,double_divide(X1,identity))),
inference(demodulation,[status(thm)],[c_129,c_102]) ).
tcf(c_187,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,X0),double_divide(X1,double_divide(X0,identity))) = double_divide(double_divide(identity,X1),identity),
inference(demodulation,[status(thm)],[c_186,c_68]) ).
tcf(c_193,plain,
! [X0: $i] : double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(identity,iPr_def_10(double_divide(identity,identity))),X0)),double_divide(identity,identity)) = double_divide(identity,double_divide(double_divide(identity,X0),identity)),
inference(demodulation,[status(thm)],[c_166,c_174]) ).
tcf(c_203,plain,
! [X0: $i] : double_divide(identity,double_divide(double_divide(identity,X0),identity)) = iPr_def_10(X0),
inference(demodulation,[status(thm)],[c_160,c_174,c_193]) ).
tcf(c_211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0))))),double_divide(X3,X2))),identity) = X3,
inference(demodulation,[status(thm)],[c_63,c_74]) ).
tcf(c_212,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))) = double_divide(double_divide(identity,double_divide(identity,X2)),identity),
inference(demodulation,[status(thm)],[c_65,c_74]) ).
tcf(c_214,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,double_divide(identity,double_divide(X1,double_divide(identity,X0)))),identity) = X1,
inference(demodulation,[status(thm)],[c_66,c_74]) ).
tcf(c_216,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),identity) = X2,
inference(demodulation,[status(thm)],[c_54,c_74]) ).
tcf(c_217,plain,
! [X0: $i] : double_divide(iPr_def_10(X0),identity) = X0,
inference(demodulation,[status(thm)],[c_216,c_174]) ).
tcf(c_218,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(identity,X0)),identity) = iPr_def_10(X0),
inference(demodulation,[status(thm)],[c_212,c_174]) ).
tcf(c_219,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,double_divide(double_divide(identity,iPr_def_10(X0)),double_divide(X1,X0))),identity) = X1,
inference(demodulation,[status(thm)],[c_211,c_174]) ).
tcf(c_395,plain,
! [X0: $i] : double_divide(iPr_def_10(X0),X0) = identity,
inference(superposition,[status(thm)],[c_217,c_55]) ).
tcf(c_404,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(identity,X0)),iPr_def_10(X0)) = identity,
inference(superposition,[status(thm)],[c_218,c_55]) ).
tcf(c_405,plain,
! [X0: $i] : double_divide(identity,iPr_def_10(X0)) = iPr_def_10(double_divide(identity,X0)),
inference(superposition,[status(thm)],[c_218,c_203]) ).
tcf(c_406,plain,
! [X0: $i] : double_divide(double_divide(iPr_def_10(X0),identity),double_divide(identity,identity)) = double_divide(identity,double_divide(identity,double_divide(identity,X0))),
inference(superposition,[status(thm)],[c_218,c_92]) ).
tcf(c_407,plain,
! [X0: $i] : double_divide(double_divide(X0,identity),double_divide(identity,identity)) = double_divide(identity,iPr_def_10(X0)),
inference(superposition,[status(thm)],[c_217,c_92]) ).
tcf(c_426,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(X0,identity)),double_divide(double_divide(identity,double_divide(identity,X0)),identity)) = identity,
inference(superposition,[status(thm)],[c_136,c_136]) ).
tcf(c_438,plain,
! [X0: $i] : iPr_def_10(double_divide(identity,double_divide(X0,double_divide(identity,identity)))) = double_divide(identity,X0),
inference(superposition,[status(thm)],[c_214,c_203]) ).
tcf(c_439,plain,
! [X0: $i] : iPr_def_10(double_divide(X0,double_divide(identity,identity))) = X0,
inference(superposition,[status(thm)],[c_214,c_218]) ).
tcf(c_440,plain,
iPr_def_10(identity) = identity,
inference(demodulation,[status(thm)],[c_136,c_174]) ).
tcf(c_443,plain,
! [X0: $i] : iPr_def_10(double_divide(X0,identity)) = X0,
inference(light_normalisation,[status(thm)],[c_439,c_74]) ).
tcf(c_448,plain,
! [X0: $i] : iPr_def_10(double_divide(identity,double_divide(X0,identity))) = double_divide(identity,X0),
inference(light_normalisation,[status(thm)],[c_438,c_74]) ).
tcf(c_451,plain,
! [X0: $i] : double_divide(double_divide(X0,identity),double_divide(identity,identity)) = iPr_def_10(double_divide(identity,X0)),
inference(demodulation,[status(thm)],[c_407,c_405]) ).
tcf(c_452,plain,
! [X0: $i] : double_divide(double_divide(X0,identity),identity) = iPr_def_10(double_divide(identity,X0)),
inference(light_normalisation,[status(thm)],[c_451,c_74]) ).
tcf(c_460,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(X0,identity)),iPr_def_10(X0)) = identity,
inference(demodulation,[status(thm)],[c_426,c_218]) ).
tcf(c_470,plain,
! [X0: $i] : double_divide(identity,double_divide(identity,double_divide(identity,X0))) = double_divide(X0,double_divide(identity,identity)),
inference(demodulation,[status(thm)],[c_406,c_217]) ).
tcf(c_471,plain,
! [X0: $i] : double_divide(identity,double_divide(identity,double_divide(identity,X0))) = double_divide(X0,identity),
inference(light_normalisation,[status(thm)],[c_470,c_74]) ).
tcf(c_511,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,double_divide(X1,X2)),double_divide(double_divide(identity,double_divide(identity,X1)),iPr_def_10(X0))) = iPr_def_10(X2),
inference(superposition,[status(thm)],[c_174,c_174]) ).
tcf(c_515,plain,
! [X0: $i,X1: $i] : iPr_def_10(double_divide(double_divide(identity,X0),double_divide(X1,double_divide(X0,identity)))) = double_divide(identity,double_divide(iPr_def_10(X1),identity)),
inference(superposition,[status(thm)],[c_174,c_203]) ).
tcf(c_520,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(double_divide(identity,X1),identity)) = iPr_def_10(iPr_def_10(double_divide(X1,X0))),
inference(superposition,[status(thm)],[c_395,c_174]) ).
tcf(c_524,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(identity,double_divide(X1,double_divide(identity,X0)))) = iPr_def_10(X1),
inference(superposition,[status(thm)],[c_214,c_443]) ).
tcf(c_543,plain,
! [X0: $i] : double_divide(identity,double_divide(identity,X0)) = iPr_def_10(iPr_def_10(X0)),
inference(superposition,[status(thm)],[c_203,c_448]) ).
tcf(c_562,plain,
! [X0: $i] : iPr_def_10(iPr_def_10(double_divide(identity,X0))) = double_divide(X0,identity),
inference(superposition,[status(thm)],[c_452,c_443]) ).
tcf(c_578,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(double_divide(identity,X0),double_divide(X1,double_divide(X0,identity))),identity) = double_divide(identity,double_divide(identity,iPr_def_10(X1))),
inference(superposition,[status(thm)],[c_174,c_471]) ).
tcf(c_631,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(X1,double_divide(identity,double_divide(X0,identity))))),identity) = X1,
inference(superposition,[status(thm)],[c_448,c_219]) ).
tcf(c_640,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,double_divide(double_divide(identity,iPr_def_10(identity)),X0)),identity) = double_divide(X1,double_divide(identity,double_divide(X0,double_divide(identity,X1)))),
inference(superposition,[status(thm)],[c_214,c_219]) ).
tcf(c_647,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(double_divide(identity,iPr_def_10(iPr_def_10(X0))),identity)),identity) = double_divide(identity,double_divide(X0,identity)),
inference(superposition,[status(thm)],[c_460,c_219]) ).
tcf(c_702,plain,
! [X0: $i,X1: $i] : double_divide(iPr_def_10(X0),double_divide(X1,double_divide(double_divide(double_divide(identity,X0),identity),identity))) = double_divide(double_divide(identity,X1),identity),
inference(superposition,[status(thm)],[c_203,c_187]) ).
tcf(c_710,plain,
! [X0: $i] : double_divide(double_divide(identity,X0),identity) = double_divide(identity,double_divide(X0,identity)),
inference(superposition,[status(thm)],[c_74,c_187]) ).
tcf(c_745,plain,
! [X0: $i] : double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X0,identity))) = double_divide(identity,double_divide(double_divide(identity,X0),identity)),
inference(superposition,[status(thm)],[c_443,c_185]) ).
tcf(c_756,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(identity,identity),X0))),iPr_def_10(double_divide(double_divide(identity,iPr_def_10(X0)),identity))) = identity,
inference(superposition,[status(thm)],[c_185,c_404]) ).
tcf(c_758,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(identity,identity),X0))),identity) = iPr_def_10(double_divide(double_divide(identity,iPr_def_10(X0)),identity)),
inference(superposition,[status(thm)],[c_185,c_218]) ).
tcf(c_759,plain,
! [X0: $i] : double_divide(identity,double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X0)),identity)) = iPr_def_10(double_divide(double_divide(identity,iPr_def_10(X0)),identity)),
inference(superposition,[status(thm)],[c_185,c_203]) ).
tcf(c_821,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(identity,double_divide(X1,identity))) = iPr_def_10(iPr_def_10(double_divide(X1,X0))),
inference(demodulation,[status(thm)],[c_520,c_710]) ).
tcf(c_906,plain,
! [X0: $i] : double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X0,identity))) = iPr_def_10(iPr_def_10(double_divide(X0,identity))),
inference(demodulation,[status(thm)],[c_745,c_543,c_710]) ).
tcf(c_907,plain,
! [X0: $i] : double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X0,identity))) = iPr_def_10(X0),
inference(demodulation,[status(thm)],[c_906,c_443]) ).
tcf(c_908,plain,
! [X0: $i] : double_divide(identity,double_divide(identity,double_divide(X0,identity))) = iPr_def_10(X0),
inference(light_normalisation,[status(thm)],[c_907,c_74]) ).
tcf(c_937,plain,
! [X0: $i] : iPr_def_10(double_divide(iPr_def_10(iPr_def_10(X0)),identity)) = double_divide(identity,double_divide(X0,identity)),
inference(demodulation,[status(thm)],[c_647,c_908,c_710]) ).
tcf(c_938,plain,
! [X0: $i] : double_divide(identity,double_divide(X0,identity)) = iPr_def_10(iPr_def_10(X0)),
inference(demodulation,[status(thm)],[c_937,c_443]) ).
tcf(c_954,plain,
! [X0: $i,X1: $i] : iPr_def_10(double_divide(double_divide(identity,X0),double_divide(X1,double_divide(X0,identity)))) = iPr_def_10(iPr_def_10(iPr_def_10(X1))),
inference(demodulation,[status(thm)],[c_515,c_938]) ).
tcf(c_955,plain,
! [X0: $i] : iPr_def_10(iPr_def_10(iPr_def_10(X0))) = double_divide(identity,X0),
inference(demodulation,[status(thm)],[c_954,c_187,c_443]) ).
tcf(c_957,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,double_divide(X1,X2)),double_divide(iPr_def_10(iPr_def_10(X1)),iPr_def_10(X0))) = iPr_def_10(X2),
inference(demodulation,[status(thm)],[c_511,c_543]) ).
tcf(c_974,plain,
! [X0: $i,X1: $i] : double_divide(iPr_def_10(X0),double_divide(X1,double_divide(iPr_def_10(iPr_def_10(X0)),identity))) = iPr_def_10(iPr_def_10(X1)),
inference(demodulation,[status(thm)],[c_702,c_710,c_938]) ).
tcf(c_975,plain,
! [X0: $i,X1: $i] : double_divide(iPr_def_10(X0),double_divide(X1,iPr_def_10(X0))) = iPr_def_10(iPr_def_10(X1)),
inference(demodulation,[status(thm)],[c_974,c_217]) ).
tcf(c_988,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(double_divide(identity,X0),double_divide(X1,double_divide(X0,identity))),identity) = double_divide(identity,X1),
inference(demodulation,[status(thm)],[c_578,c_543,c_955]) ).
tcf(c_989,plain,
! [X0: $i] : iPr_def_10(double_divide(identity,double_divide(identity,X0))) = double_divide(identity,X0),
inference(demodulation,[status(thm)],[c_988,c_187,c_452]) ).
tcf(c_990,plain,
! [X0: $i] : double_divide(double_divide(double_divide(identity,identity),X0),identity) = iPr_def_10(double_divide(identity,X0)),
inference(demodulation,[status(thm)],[c_759,c_710,c_562,c_938,c_955]) ).
tcf(c_991,plain,
! [X0: $i] : double_divide(double_divide(identity,X0),identity) = iPr_def_10(double_divide(identity,X0)),
inference(light_normalisation,[status(thm)],[c_990,c_74]) ).
tcf(c_992,plain,
! [X0: $i] : double_divide(identity,double_divide(double_divide(identity,identity),X0)) = double_divide(iPr_def_10(X0),identity),
inference(demodulation,[status(thm)],[c_758,c_562,c_989,c_991]) ).
tcf(c_993,plain,
! [X0: $i] : double_divide(identity,double_divide(double_divide(identity,identity),X0)) = X0,
inference(demodulation,[status(thm)],[c_992,c_217]) ).
tcf(c_994,plain,
! [X0: $i] : double_divide(identity,double_divide(identity,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_993,c_74]) ).
tcf(c_995,plain,
! [X0: $i] : double_divide(double_divide(double_divide(identity,identity),X0),double_divide(iPr_def_10(X0),identity)) = identity,
inference(demodulation,[status(thm)],[c_756,c_562,c_991,c_994]) ).
tcf(c_996,plain,
! [X0: $i] : double_divide(double_divide(double_divide(identity,identity),X0),X0) = identity,
inference(demodulation,[status(thm)],[c_995,c_217]) ).
tcf(c_997,plain,
! [X0: $i] : double_divide(double_divide(identity,X0),X0) = identity,
inference(light_normalisation,[status(thm)],[c_996,c_74]) ).
tcf(c_1011,plain,
! [X0: $i,X1: $i] : iPr_def_10(double_divide(identity,double_divide(X0,iPr_def_10(iPr_def_10(double_divide(X0,X1)))))) = X1,
inference(demodulation,[status(thm)],[c_631,c_821,c_991,c_994]) ).
tcf(c_1031,plain,
! [X0: $i] : iPr_def_10(double_divide(identity,double_divide(double_divide(identity,iPr_def_10(identity)),X0))) = iPr_def_10(X0),
inference(demodulation,[status(thm)],[c_640,c_524,c_991]) ).
tcf(c_1032,plain,
! [X0: $i] : iPr_def_10(double_divide(identity,double_divide(identity,X0))) = iPr_def_10(X0),
inference(demodulation,[status(thm)],[c_1031,c_405,c_443]) ).
tcf(c_2508,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(X1,double_divide(X2,double_divide(double_divide(identity,X1),X0)))) = iPr_def_10(X2),
inference(superposition,[status(thm)],[c_994,c_174]) ).
tcf(c_2509,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,X0),double_divide(double_divide(identity,identity),double_divide(X1,X0))) = iPr_def_10(X1),
inference(superposition,[status(thm)],[c_994,c_174]) ).
tcf(c_2514,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(X1,identity))) = iPr_def_10(X1),
inference(superposition,[status(thm)],[c_997,c_174]) ).
tcf(c_2515,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(double_divide(identity,X1),identity)) = iPr_def_10(double_divide(identity,double_divide(X1,X0))),
inference(superposition,[status(thm)],[c_997,c_174]) ).
tcf(c_2566,plain,
! [X0: $i] : iPr_def_10(iPr_def_10(X0)) = X0,
inference(superposition,[status(thm)],[c_543,c_994]) ).
tcf(c_2691,plain,
! [X0: $i] : double_divide(identity,X0) = iPr_def_10(X0),
inference(superposition,[status(thm)],[c_989,c_1032]) ).
tcf(c_2700,plain,
! [X0: $i] : double_divide(X0,identity) = iPr_def_10(X0),
inference(superposition,[status(thm)],[c_994,c_991]) ).
tcf(c_2768,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,X0)) = iPr_def_10(iPr_def_10(X1)),
inference(superposition,[status(thm)],[c_443,c_975]) ).
tcf(c_2775,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,iPr_def_10(X1)),double_divide(double_divide(identity,iPr_def_10(X1)),double_divide(X2,iPr_def_10(iPr_def_10(X0))))) = iPr_def_10(X2),
inference(superposition,[status(thm)],[c_975,c_174]) ).
tcf(c_2785,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(demodulation,[status(thm)],[c_2768,c_2566]) ).
tcf(c_2812,plain,
! [X0: $i,X1: $i] : double_divide(X0,X1) = double_divide(X1,X0),
inference(demodulation,[status(thm)],[c_2515,c_2691,c_2566,c_2700]) ).
tcf(c_2813,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X0,iPr_def_10(X1))) = iPr_def_10(X1),
inference(demodulation,[status(thm)],[c_2514,c_2691,c_2566,c_2700]) ).
tcf(c_2814,plain,
! [X0: $i,X1: $i] : double_divide(iPr_def_10(X0),double_divide(iPr_def_10(identity),double_divide(X1,X0))) = iPr_def_10(X1),
inference(demodulation,[status(thm)],[c_2509,c_2691]) ).
tcf(c_2815,plain,
! [X0: $i,X1: $i] : double_divide(iPr_def_10(X0),double_divide(identity,double_divide(X1,X0))) = iPr_def_10(X1),
inference(light_normalisation,[status(thm)],[c_2814,c_440]) ).
tcf(c_2816,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(X1,double_divide(X2,double_divide(iPr_def_10(X1),X0)))) = iPr_def_10(X2),
inference(demodulation,[status(thm)],[c_2508,c_2691]) ).
tcf(c_2824,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,iPr_def_10(X1)),double_divide(X1,double_divide(X2,X0))) = iPr_def_10(X2),
inference(demodulation,[status(thm)],[c_2775,c_2691,c_2566]) ).
tcf(c_2837,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(iPr_def_10(X1),double_divide(X2,double_divide(X1,X0)))) = iPr_def_10(X2),
inference(demodulation,[status(thm)],[c_174,c_2691]) ).
tcf(c_2860,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) != double_divide(double_divide(c3,iPr_def_10(double_divide(b3,a3))),identity),
inference(demodulation,[status(thm)],[c_56,c_2700]) ).
tcf(c_2862,plain,
iPr_def_10(double_divide(a3,iPr_def_10(double_divide(b3,c3)))) != iPr_def_10(double_divide(c3,iPr_def_10(double_divide(a3,b3)))),
inference(demodulation,[status(thm)],[c_2860,c_2700,c_2812]) ).
tcf(c_2952,plain,
! [X0: $i,X1: $i] : iPr_def_10(double_divide(identity,double_divide(X0,iPr_def_10(iPr_def_10(iPr_def_10(X1)))))) = double_divide(identity,double_divide(X1,double_divide(identity,X0))),
inference(superposition,[status(thm)],[c_524,c_1011]) ).
tcf(c_2956,plain,
! [X0: $i,X1: $i] : iPr_def_10(double_divide(identity,double_divide(iPr_def_10(X0),iPr_def_10(iPr_def_10(iPr_def_10(X1)))))) = double_divide(identity,double_divide(X1,X0)),
inference(superposition,[status(thm)],[c_2815,c_1011]) ).
tcf(c_2960,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_1011,c_2813]) ).
tcf(c_2967,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(X1,double_divide(double_divide(iPr_def_10(X1),X0),X2))) = iPr_def_10(X2),
inference(superposition,[status(thm)],[c_2812,c_2816]) ).
tcf(c_2987,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_10(double_divide(identity,double_divide(X0,iPr_def_10(iPr_def_10(iPr_def_10(X1)))))) = double_divide(X2,double_divide(X1,double_divide(iPr_def_10(X2),X0))),
inference(superposition,[status(thm)],[c_2816,c_1011]) ).
tcf(c_2997,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(iPr_def_10(X0),X1),double_divide(X0,double_divide(X2,X1))) = iPr_def_10(X2),
inference(superposition,[status(thm)],[c_2812,c_2824]) ).
tcf(c_3025,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,double_divide(X1,X2)),iPr_def_10(X1)) = double_divide(X2,iPr_def_10(X0)),
inference(superposition,[status(thm)],[c_2824,c_2785]) ).
tcf(c_3026,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_10(double_divide(identity,double_divide(double_divide(X0,iPr_def_10(X1)),iPr_def_10(iPr_def_10(iPr_def_10(X2)))))) = double_divide(X1,double_divide(X2,X0)),
inference(superposition,[status(thm)],[c_2824,c_1011]) ).
tcf(c_3041,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(iPr_def_10(X1),double_divide(double_divide(X1,X0),X2))) = iPr_def_10(X2),
inference(superposition,[status(thm)],[c_2812,c_2837]) ).
tcf(c_3057,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,X1),double_divide(iPr_def_10(X1),double_divide(X2,X0))) = iPr_def_10(X2),
inference(superposition,[status(thm)],[c_2785,c_2837]) ).
tcf(c_3157,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,X1),double_divide(iPr_def_10(iPr_def_10(X2)),iPr_def_10(X0))) = iPr_def_10(double_divide(X1,X2)),
inference(superposition,[status(thm)],[c_2785,c_957]) ).
tcf(c_3158,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,iPr_def_10(X1)),double_divide(iPr_def_10(iPr_def_10(X2)),iPr_def_10(X0))) = iPr_def_10(double_divide(X2,iPr_def_10(X1))),
inference(superposition,[status(thm)],[c_2813,c_957]) ).
tcf(c_3174,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(iPr_def_10(double_divide(iPr_def_10(iPr_def_10(X0)),iPr_def_10(X1))),double_divide(identity,iPr_def_10(X2))) = iPr_def_10(double_divide(X1,double_divide(X0,X2))),
inference(superposition,[status(thm)],[c_957,c_2815]) ).
tcf(c_3176,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(iPr_def_10(iPr_def_10(X0)),iPr_def_10(X1)),iPr_def_10(X2)) = double_divide(X1,double_divide(X0,X2)),
inference(superposition,[status(thm)],[c_957,c_2785]) ).
tcf(c_3178,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_10(double_divide(identity,double_divide(double_divide(X0,double_divide(X1,X2)),iPr_def_10(iPr_def_10(iPr_def_10(X2)))))) = double_divide(iPr_def_10(iPr_def_10(X1)),iPr_def_10(X0)),
inference(superposition,[status(thm)],[c_957,c_1011]) ).
tcf(c_3183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(double_divide(double_divide(iPr_def_10(iPr_def_10(X0)),iPr_def_10(X1)),iPr_def_10(X2)),double_divide(X2,iPr_def_10(X3))) = iPr_def_10(double_divide(X1,double_divide(X0,X3))),
inference(superposition,[status(thm)],[c_957,c_2824]) ).
tcf(c_3262,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(iPr_def_10(X0),double_divide(X1,double_divide(X0,X2))) = double_divide(X2,iPr_def_10(X1)),
inference(demodulation,[status(thm)],[c_3025,c_2812]) ).
tcf(c_3294,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,iPr_def_10(X1)),iPr_def_10(X2)) = double_divide(X1,double_divide(X0,X2)),
inference(demodulation,[status(thm)],[c_3176,c_2566]) ).
tcf(c_3298,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,X1),double_divide(X2,iPr_def_10(X0))) = iPr_def_10(double_divide(X1,X2)),
inference(demodulation,[status(thm)],[c_3157,c_2566]) ).
tcf(c_3339,plain,
! [X0: $i,X1: $i] : double_divide(iPr_def_10(X0),iPr_def_10(X1)) = iPr_def_10(double_divide(X1,X0)),
inference(demodulation,[status(thm)],[c_2956,c_2691,c_2566]) ).
tcf(c_3343,plain,
! [X0: $i,X1: $i] : iPr_def_10(iPr_def_10(double_divide(iPr_def_10(X0),X1))) = iPr_def_10(double_divide(X0,iPr_def_10(X1))),
inference(demodulation,[status(thm)],[c_3158,c_3298,c_3339]) ).
tcf(c_3344,plain,
! [X0: $i,X1: $i] : iPr_def_10(double_divide(X0,iPr_def_10(X1))) = double_divide(iPr_def_10(X0),X1),
inference(demodulation,[status(thm)],[c_3343,c_2566]) ).
tcf(c_3354,plain,
! [X0: $i,X1: $i] : iPr_def_10(double_divide(X0,iPr_def_10(X1))) = double_divide(X1,iPr_def_10(X0)),
inference(demodulation,[status(thm)],[c_2952,c_2691,c_2566]) ).
tcf(c_3367,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_10(double_divide(identity,double_divide(X0,double_divide(X1,iPr_def_10(iPr_def_10(X2)))))) = double_divide(X0,double_divide(X2,X1)),
inference(demodulation,[status(thm)],[c_3026,c_3294]) ).
tcf(c_3368,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(X1,X2)) = double_divide(X0,double_divide(X2,X1)),
inference(demodulation,[status(thm)],[c_3367,c_2691,c_2566]) ).
tcf(c_3372,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(X1,double_divide(iPr_def_10(X0),X2))) = double_divide(X2,iPr_def_10(X1)),
inference(demodulation,[status(thm)],[c_2987,c_2691,c_2566]) ).
tcf(c_3376,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,iPr_def_10(iPr_def_10(iPr_def_10(X1)))),double_divide(identity,iPr_def_10(X2))) = iPr_def_10(double_divide(X0,double_divide(X1,X2))),
inference(demodulation,[status(thm)],[c_3174,c_3354]) ).
tcf(c_3377,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,iPr_def_10(X1)),X2) = iPr_def_10(double_divide(X0,double_divide(X1,X2))),
inference(demodulation,[status(thm)],[c_3376,c_2691,c_2566]) ).
tcf(c_3393,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_10(double_divide(identity,double_divide(iPr_def_10(iPr_def_10(iPr_def_10(X0))),double_divide(X1,double_divide(X2,X0))))) = double_divide(X2,iPr_def_10(X1)),
inference(demodulation,[status(thm)],[c_3178,c_3339,c_3354,c_3368]) ).
tcf(c_3394,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(iPr_def_10(X0),double_divide(X1,double_divide(X2,X0))) = double_divide(X2,iPr_def_10(X1)),
inference(demodulation,[status(thm)],[c_3393,c_2691,c_2566]) ).
tcf(c_3406,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_10(iPr_def_10(double_divide(iPr_def_10(iPr_def_10(X0)),double_divide(X1,iPr_def_10(X2))))) = iPr_def_10(double_divide(X1,double_divide(X0,X2))),
inference(demodulation,[status(thm)],[c_3183,c_2960,c_3377]) ).
tcf(c_3407,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(X1,iPr_def_10(X2))) = iPr_def_10(double_divide(X1,double_divide(X0,X2))),
inference(demodulation,[status(thm)],[c_3406,c_2566]) ).
tcf(c_3428,plain,
iPr_def_10(double_divide(c3,iPr_def_10(double_divide(a3,b3)))) != double_divide(iPr_def_10(a3),double_divide(b3,c3)),
inference(demodulation,[status(thm)],[c_2862,c_3344]) ).
tcf(c_3429,plain,
double_divide(double_divide(a3,b3),iPr_def_10(c3)) != double_divide(iPr_def_10(a3),double_divide(b3,c3)),
inference(demodulation,[status(thm)],[c_3428,c_3354]) ).
tcf(c_3430,plain,
double_divide(iPr_def_10(a3),double_divide(b3,c3)) != double_divide(iPr_def_10(c3),double_divide(a3,b3)),
inference(demodulation,[status(thm)],[c_3429,c_2812]) ).
tcf(c_3652,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,double_divide(X1,X2)),iPr_def_10(X1)) = double_divide(iPr_def_10(X0),X2),
inference(superposition,[status(thm)],[c_2997,c_2785]) ).
tcf(c_3658,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(X1,iPr_def_10(X2))) = iPr_def_10(double_divide(X1,double_divide(X2,X0))),
inference(superposition,[status(thm)],[c_2997,c_2967]) ).
tcf(c_3674,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(iPr_def_10(X1),X2)) = iPr_def_10(double_divide(X2,double_divide(X1,X0))),
inference(superposition,[status(thm)],[c_2785,c_3041]) ).
tcf(c_3696,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(iPr_def_10(X0),double_divide(double_divide(X0,X1),X2)) = double_divide(X1,iPr_def_10(X2)),
inference(superposition,[status(thm)],[c_3041,c_2960]) ).
tcf(c_3756,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,X1),iPr_def_10(X2)) = double_divide(iPr_def_10(X1),double_divide(X2,X0)),
inference(superposition,[status(thm)],[c_3057,c_2960]) ).
tcf(c_3811,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(iPr_def_10(double_divide(X0,X1)),double_divide(X0,X2)) = double_divide(iPr_def_10(X2),X1),
inference(demodulation,[status(thm)],[c_3652,c_3756]) ).
tcf(c_4067,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,X1),iPr_def_10(X2)) = double_divide(iPr_def_10(X0),double_divide(X2,X1)),
inference(superposition,[status(thm)],[c_2960,c_3262]) ).
tcf(c_4177,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_10(double_divide(X0,double_divide(iPr_def_10(X1),X2))) = double_divide(double_divide(X0,X1),X2),
inference(superposition,[status(thm)],[c_2566,c_3377]) ).
tcf(c_4210,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(iPr_def_10(X0),double_divide(double_divide(X1,X0),X2)) = double_divide(X1,iPr_def_10(X2)),
inference(superposition,[status(thm)],[c_2812,c_3394]) ).
tcf(c_4272,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,iPr_def_10(double_divide(X1,double_divide(X0,X2)))) = double_divide(X1,iPr_def_10(X2)),
inference(superposition,[status(thm)],[c_3407,c_2960]) ).
tcf(c_4310,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,X1),X2) = double_divide(X2,double_divide(X1,X0)),
inference(demodulation,[status(thm)],[c_4177,c_2566,c_3674]) ).
tcf(c_4589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(X0,double_divide(X1,double_divide(double_divide(X2,X3),iPr_def_10(X0)))) = double_divide(double_divide(X3,X2),iPr_def_10(X1)),
inference(superposition,[status(thm)],[c_4310,c_3372]) ).
tcf(c_4740,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(iPr_def_10(X0),double_divide(X1,X2)) = double_divide(iPr_def_10(X2),double_divide(X1,X0)),
inference(demodulation,[status(thm)],[c_4589,c_3658,c_4067,c_4272]) ).
tcf(c_4778,plain,
double_divide(iPr_def_10(a3),double_divide(b3,c3)) != double_divide(iPr_def_10(b3),double_divide(a3,c3)),
inference(demodulation,[status(thm)],[c_3430,c_4740]) ).
tcf(c_4916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(iPr_def_10(X0),double_divide(double_divide(double_divide(X1,X2),X0),X3)) = double_divide(double_divide(X2,X1),iPr_def_10(X3)),
inference(superposition,[status(thm)],[c_4310,c_3696]) ).
tcf(c_4921,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,X1),iPr_def_10(X2)) = double_divide(iPr_def_10(X1),double_divide(X0,X2)),
inference(superposition,[status(thm)],[c_2785,c_3696]) ).
tcf(c_4966,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(iPr_def_10(X0),double_divide(X1,X2)) = double_divide(iPr_def_10(X1),double_divide(X2,X0)),
inference(superposition,[status(thm)],[c_2785,c_3811]) ).
tcf(c_5196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(iPr_def_10(X0),double_divide(double_divide(double_divide(X1,X2),X0),X3)) = double_divide(iPr_def_10(X1),double_divide(X2,X3)),
inference(demodulation,[status(thm)],[c_4916,c_4921]) ).
tcf(c_5197,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(iPr_def_10(X0),double_divide(X1,X2)) = double_divide(iPr_def_10(X0),double_divide(X2,X1)),
inference(demodulation,[status(thm)],[c_5196,c_4067,c_4210]) ).
tcf(c_5392,plain,
double_divide(iPr_def_10(a3),double_divide(b3,c3)) != double_divide(iPr_def_10(a3),double_divide(c3,b3)),
inference(demodulation,[status(thm)],[c_4778,c_4966]) ).
tcf(c_5393,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5392,c_5197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP583-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Wed Sep 23 15:08:23 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.33 Running UEQ theorem proving
% 0.03/0.33 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
% 0.07/0.33
% 0.07/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.33
% 0.07/0.34 % Detected problem language: tptp
% 0.07/0.34 % Proving...
% 4.04/1.09 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 4.04/1.09 % SZS status Started for theBenchmark.p
% 4.04/1.09 % SZS status Unsatisfiable for theBenchmark.p
% 4.04/1.09
% 4.04/1.09 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.04/1.09
% 4.04/1.09 % ------ iProver source info
% 4.04/1.09
% 4.04/1.09 % git: date: 2026-07-19 20:42:38 +0200
% 4.04/1.09 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.04/1.09 % git: non_committed_changes: false
% 4.04/1.09
% 4.04/1.09 % ------ Parsing...% successful
% 4.04/1.09
% 4.04/1.09
% 4.04/1.09 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.04/1.09 % ------ Proving...
% 4.04/1.09 % ------ Problem Properties
% 4.04/1.09
% 4.04/1.09 %
% 4.04/1.09 % clauses 3
% 4.04/1.09 % conjectures 1
% 4.04/1.09 % EPR 0
% 4.04/1.09 % Horn 3
% 4.04/1.09 % unary 3
% 4.04/1.09 % binary 0
% 4.04/1.09 % lits 3
% 4.04/1.09 % lits eq 3
% 4.04/1.09 % fd_pure 0
% 4.04/1.09 % fd_pseudo 0
% 4.04/1.09 % fd_cond 0
% 4.04/1.09 % fd_pseudo_cond 0
% 4.04/1.09 % AC symbols 0
% 4.04/1.09
% 4.04/1.09 % ------ Input Options Time Limit: Unbounded
% 4.04/1.09
% 4.04/1.09
% 4.04/1.09 % ------
% 4.04/1.09 % Current options:
% 4.04/1.09 % ------
% 4.04/1.09
% 4.04/1.09
% 4.04/1.09 %
% 4.04/1.09
% 4.04/1.09 % ------ Proving...
% 4.04/1.09 %
% 4.04/1.09
% 4.04/1.09 % SZS status Unsatisfiable for theBenchmark.p
% 4.04/1.09
% 4.04/1.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.04/1.09
% 4.04/1.09
%------------------------------------------------------------------------------