%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP075-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n010.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 3.33s 1.19s
% Output : CNFRefutation 3.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 5
% Syntax : Number of formulae : 94 ( 85 unt; 0 def)
% Number of atoms : 109 ( 108 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 28 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 186 ( 0 sgn 186 !; 0 ?; 176 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,double_divide(X3,double_divide(X3,identity))),double_divide(X0,identity))),X1) = 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,plain,
! [X0] : double_divide(X0,identity) = inverse(X0),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f6,negated_conjecture,
( 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(f7,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2)
| identity != multiply(inverse(a1),a1) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f5,f4]) ).
fof(f9,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,[],[f7,f2,f4,f2,f2,f2,f2,f2]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,double_divide(X3,double_divide(X3,identity))),double_divide(X0,identity))),X1) = X2,
inference(cnf_transformation,[],[f1]) ).
tcf(c_55,plain,
! [X0: $i] : double_divide(X0,double_divide(X0,identity)) = identity,
inference(cnf_transformation,[],[f8]) ).
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,[],[f9]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,identity),double_divide(X0,identity))),X1) = X2,
inference(demodulation,[status(thm)],[c_54,c_55]) ).
tcf(c_71,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_72,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,identity))),X1) = X0,
inference(superposition,[status(thm)],[c_55,c_70]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(double_divide(double_divide(X0,identity),double_divide(X1,identity)),identity),X1) = X0,
inference(superposition,[status(thm)],[c_55,c_70]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(double_divide(X0,double_divide(double_divide(X1,identity),double_divide(double_divide(double_divide(X2,double_divide(double_divide(X3,identity),identity)),double_divide(double_divide(X0,identity),double_divide(X2,identity))),identity))),X3) = X1,
inference(superposition,[status(thm)],[c_70,c_70]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(double_divide(X0,double_divide(identity,identity)),double_divide(double_divide(X1,identity),double_divide(X0,identity))),X1) = identity,
inference(superposition,[status(thm)],[c_70,c_55]) ).
tcf(c_97,plain,
! [X0: $i] : double_divide(double_divide(identity,identity),double_divide(X0,identity)) = X0,
inference(superposition,[status(thm)],[c_55,c_75]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,double_divide(identity,identity)),double_divide(double_divide(X1,identity),double_divide(X0,identity))) = double_divide(double_divide(double_divide(X1,double_divide(X2,identity)),identity),X2),
inference(superposition,[status(thm)],[c_70,c_75]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,double_divide(double_divide(X1,identity),double_divide(double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(X2,identity),identity)),identity),identity))),X2) = X1,
inference(superposition,[status(thm)],[c_75,c_70]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),identity),X1) = double_divide(double_divide(double_divide(X0,identity),double_divide(identity,identity)),identity),
inference(superposition,[status(thm)],[c_75,c_75]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),X2),X1) = double_divide(double_divide(X2,identity),double_divide(double_divide(X0,identity),identity)),
inference(superposition,[status(thm)],[c_75,c_70]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,identity),double_divide(double_divide(X1,identity),identity)) = double_divide(double_divide(X0,identity),X1),
inference(superposition,[status(thm)],[c_75,c_75]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),X2),X1) = double_divide(double_divide(X2,identity),X0),
inference(demodulation,[status(thm)],[c_110,c_111]) ).
tcf(c_113,plain,
! [X0: $i] : double_divide(double_divide(double_divide(X0,identity),double_divide(identity,identity)),identity) = double_divide(double_divide(identity,identity),X0),
inference(demodulation,[status(thm)],[c_106,c_112]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,double_divide(double_divide(X1,identity),double_divide(double_divide(X0,identity),X2))),X2) = X1,
inference(demodulation,[status(thm)],[c_105,c_111]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,double_divide(identity,identity)),double_divide(double_divide(X1,identity),double_divide(X0,identity))) = double_divide(double_divide(identity,identity),X1),
inference(demodulation,[status(thm)],[c_99,c_112]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,identity),double_divide(double_divide(X1,identity),identity)) = double_divide(double_divide(identity,X0),X1),
inference(superposition,[status(thm)],[c_75,c_72]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,double_divide(double_divide(X0,identity),X1)),double_divide(identity,double_divide(double_divide(X1,identity),double_divide(identity,identity)))) = X0,
inference(superposition,[status(thm)],[c_72,c_72]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),identity),X1) = double_divide(identity,double_divide(double_divide(X0,identity),double_divide(identity,identity))),
inference(superposition,[status(thm)],[c_72,c_75]) ).
tcf(c_153,plain,
! [X0: $i] : double_divide(identity,double_divide(double_divide(X0,identity),double_divide(identity,identity))) = double_divide(double_divide(identity,identity),X0),
inference(demodulation,[status(thm)],[c_149,c_112]) ).
tcf(c_156,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,double_divide(double_divide(X0,identity),X1)),double_divide(double_divide(identity,identity),X1)) = X0,
inference(demodulation,[status(thm)],[c_144,c_153]) ).
tcf(c_184,plain,
! [X0: $i] : double_divide(double_divide(double_divide(identity,identity),X0),X0) = identity,
inference(demodulation,[status(thm)],[c_81,c_117]) ).
tcf(c_194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(double_divide(X0,identity),double_divide(double_divide(double_divide(double_divide(X1,double_divide(double_divide(X2,identity),identity)),double_divide(double_divide(X3,identity),double_divide(X1,identity))),identity),identity)) = double_divide(double_divide(X3,X0),X2),
inference(superposition,[status(thm)],[c_75,c_79]) ).
tcf(c_243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(double_divide(identity,X0),double_divide(double_divide(X1,double_divide(double_divide(X2,identity),identity)),double_divide(double_divide(X3,identity),double_divide(X1,identity)))) = double_divide(double_divide(X3,X0),X2),
inference(demodulation,[status(thm)],[c_194,c_137]) ).
tcf(c_341,plain,
double_divide(identity,identity) = identity,
inference(superposition,[status(thm)],[c_97,c_55]) ).
tcf(c_363,plain,
! [X0: $i] : double_divide(double_divide(X0,identity),identity) = X0,
inference(superposition,[status(thm)],[c_55,c_115]) ).
tcf(c_369,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,double_divide(X1,double_divide(double_divide(X0,identity),X2))),X2) = double_divide(double_divide(double_divide(X1,identity),double_divide(identity,identity)),identity),
inference(superposition,[status(thm)],[c_75,c_115]) ).
tcf(c_372,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,double_divide(double_divide(X1,identity),identity)),double_divide(double_divide(X0,identity),identity)) = X1,
inference(superposition,[status(thm)],[c_55,c_115]) ).
tcf(c_375,plain,
! [X0: $i] : double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(X0,identity),identity)),identity) = X0,
inference(superposition,[status(thm)],[c_184,c_115]) ).
tcf(c_390,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(double_divide(X1,identity),double_divide(double_divide(X0,identity),identity))) = double_divide(double_divide(identity,identity),X1),
inference(superposition,[status(thm)],[c_115,c_97]) ).
tcf(c_392,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(double_divide(X1,identity),double_divide(double_divide(X0,identity),identity))) = double_divide(double_divide(identity,double_divide(X1,double_divide(X2,identity))),X2),
inference(superposition,[status(thm)],[c_115,c_72]) ).
tcf(c_399,plain,
! [X0: $i] : double_divide(double_divide(double_divide(identity,identity),X0),identity) = X0,
inference(demodulation,[status(thm)],[c_375,c_363]) ).
tcf(c_400,plain,
! [X0: $i] : double_divide(double_divide(identity,X0),identity) = X0,
inference(demodulation,[status(thm)],[c_399,c_341]) ).
tcf(c_402,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,X1),X0) = X1,
inference(demodulation,[status(thm)],[c_372,c_363]) ).
tcf(c_403,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(double_divide(X1,identity),X0)) = double_divide(double_divide(identity,identity),X1),
inference(demodulation,[status(thm)],[c_390,c_363]) ).
tcf(c_404,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(double_divide(X1,identity),X0)) = double_divide(identity,X1),
inference(demodulation,[status(thm)],[c_403,c_341]) ).
tcf(c_409,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),X1) = double_divide(identity,X0),
inference(demodulation,[status(thm)],[c_392,c_363,c_404]) ).
tcf(c_414,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,double_divide(X1,double_divide(double_divide(X0,identity),X2))),X2) = double_divide(identity,X1),
inference(demodulation,[status(thm)],[c_369,c_113,c_341]) ).
tcf(c_465,plain,
! [X0: $i] : double_divide(X0,identity) = double_divide(identity,X0),
inference(demodulation,[status(thm)],[c_113,c_341,c_363]) ).
tcf(c_467,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,identity),double_divide(identity,double_divide(X1,identity))) = double_divide(double_divide(identity,X0),X1),
inference(demodulation,[status(thm)],[c_137,c_465]) ).
tcf(c_475,plain,
! [X0: $i] : double_divide(identity,double_divide(X0,identity)) = X0,
inference(demodulation,[status(thm)],[c_363,c_465]) ).
tcf(c_479,plain,
( ( double_divide(identity,identity) != identity )
| ( double_divide(identity,double_divide(a2,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_71,c_465]) ).
tcf(c_487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(double_divide(identity,X0),double_divide(double_divide(X1,double_divide(identity,double_divide(X2,identity))),double_divide(double_divide(X3,identity),double_divide(X1,identity)))) = double_divide(double_divide(X3,X0),X2),
inference(demodulation,[status(thm)],[c_243,c_465]) ).
tcf(c_492,plain,
! [X0: $i] : double_divide(identity,double_divide(identity,X0)) = X0,
inference(demodulation,[status(thm)],[c_400,c_465]) ).
tcf(c_513,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,identity),X1) = double_divide(double_divide(identity,X0),X1),
inference(demodulation,[status(thm)],[c_467,c_475]) ).
tcf(c_521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(double_divide(identity,X0),double_divide(double_divide(X1,X2),double_divide(double_divide(X3,identity),double_divide(X1,identity)))) = double_divide(double_divide(X3,X0),X2),
inference(demodulation,[status(thm)],[c_487,c_475]) ).
tcf(c_545,plain,
( ( double_divide(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(forward_subsumption_resolution,[status(thm)],[c_479,c_475]) ).
tcf(c_546,plain,
( ( double_divide(identity,identity) != identity )
| ( double_divide(double_divide(double_divide(identity,double_divide(c3,b3)),a3),identity) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) ) ),
inference(demodulation,[status(thm)],[c_545,c_513]) ).
tcf(c_547,plain,
( ( identity != identity )
| ( double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))) ) ),
inference(demodulation,[status(thm)],[c_546,c_341,c_465]) ).
tcf(c_548,plain,
double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))),
inference(equality_resolution_simp,[status(thm)],[c_547]) ).
tcf(c_646,plain,
! [X0: $i,X1: $i] : double_divide(identity,double_divide(double_divide(X0,double_divide(identity,identity)),X1)) = double_divide(double_divide(X1,identity),X0),
inference(superposition,[status(thm)],[c_112,c_465]) ).
tcf(c_658,plain,
! [X0: $i,X1: $i] : double_divide(identity,double_divide(double_divide(X0,identity),X1)) = double_divide(double_divide(X1,identity),X0),
inference(demodulation,[status(thm)],[c_646,c_341]) ).
tcf(c_716,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(double_divide(X0,identity),X1),double_divide(identity,X0)) = X1,
inference(demodulation,[status(thm)],[c_156,c_341,c_658]) ).
tcf(c_732,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,identity),double_divide(double_divide(identity,identity),X1)) = double_divide(double_divide(X1,X0),identity),
inference(superposition,[status(thm)],[c_716,c_112]) ).
tcf(c_742,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,identity),double_divide(identity,X1)) = double_divide(identity,double_divide(X1,X0)),
inference(demodulation,[status(thm)],[c_732,c_341,c_465]) ).
tcf(c_936,plain,
! [X0: $i,X1: $i] : double_divide(identity,double_divide(double_divide(X0,identity),X1)) = double_divide(double_divide(identity,X1),X0),
inference(superposition,[status(thm)],[c_402,c_409]) ).
tcf(c_952,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,identity),double_divide(identity,double_divide(X1,double_divide(double_divide(X2,identity),identity)))) = double_divide(double_divide(double_divide(identity,X1),X0),X2),
inference(superposition,[status(thm)],[c_409,c_112]) ).
tcf(c_975,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(double_divide(identity,X0),X1),X2) = double_divide(identity,double_divide(double_divide(X0,X2),X1)),
inference(demodulation,[status(thm)],[c_952,c_465,c_475,c_742]) ).
tcf(c_1017,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(identity,double_divide(identity,double_divide(X0,double_divide(double_divide(double_divide(X1,identity),X2),identity)))) = double_divide(double_divide(X1,double_divide(identity,X0)),X2),
inference(superposition,[status(thm)],[c_409,c_414]) ).
tcf(c_1062,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,double_divide(identity,X1)),X2) = double_divide(X1,double_divide(double_divide(identity,X2),X0)),
inference(demodulation,[status(thm)],[c_1017,c_465,c_492,c_936]) ).
tcf(c_1179,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(identity,double_divide(double_divide(X0,double_divide(identity,identity)),X1)),X2) = double_divide(double_divide(double_divide(X1,identity),X0),X2),
inference(superposition,[status(thm)],[c_112,c_513]) ).
tcf(c_1194,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(double_divide(double_divide(identity,X0),double_divide(X1,identity)),X2),X1) = double_divide(double_divide(X2,identity),double_divide(X0,identity)),
inference(superposition,[status(thm)],[c_513,c_112]) ).
tcf(c_1249,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,identity),double_divide(X1,identity)) = double_divide(identity,double_divide(X1,X0)),
inference(demodulation,[status(thm)],[c_1194,c_112,c_742]) ).
tcf(c_1251,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(double_divide(X0,identity),X1),X2) = double_divide(identity,double_divide(double_divide(X0,X2),X1)),
inference(demodulation,[status(thm)],[c_1179,c_492,c_975,c_1062]) ).
tcf(c_1526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(double_divide(identity,X0),double_divide(double_divide(X1,X2),double_divide(identity,double_divide(X1,X3)))) = double_divide(double_divide(X3,X0),X2),
inference(demodulation,[status(thm)],[c_521,c_1249]) ).
tcf(c_1536,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(identity,double_divide(double_divide(X0,X1),double_divide(identity,double_divide(X0,X2)))) = double_divide(double_divide(X2,double_divide(identity,identity)),X1),
inference(superposition,[status(thm)],[c_55,c_1526]) ).
tcf(c_1537,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(identity,double_divide(double_divide(X0,X1),double_divide(identity,double_divide(X0,X2)))) = double_divide(double_divide(X2,identity),X1),
inference(superposition,[status(thm)],[c_341,c_1526]) ).
tcf(c_1550,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(identity,double_divide(X1,X2)))) = double_divide(double_divide(X2,X0),double_divide(X1,identity)),
inference(superposition,[status(thm)],[c_55,c_1526]) ).
tcf(c_1561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(double_divide(identity,X0),double_divide(X1,double_divide(identity,double_divide(double_divide(X2,X1),X3)))) = double_divide(double_divide(X3,X0),X2),
inference(superposition,[status(thm)],[c_402,c_1526]) ).
tcf(c_1563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(double_divide(identity,X0),double_divide(X1,double_divide(identity,double_divide(double_divide(double_divide(X2,identity),X1),X3)))) = double_divide(double_divide(X3,X0),double_divide(identity,X2)),
inference(superposition,[status(thm)],[c_716,c_1526]) ).
tcf(c_1570,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(identity,X0),double_divide(double_divide(X1,X2),double_divide(identity,identity))) = double_divide(double_divide(double_divide(X1,identity),X0),X2),
inference(superposition,[status(thm)],[c_55,c_1526]) ).
tcf(c_1615,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(X1,X2))) = double_divide(identity,double_divide(double_divide(X1,X2),X0)),
inference(demodulation,[status(thm)],[c_1570,c_341,c_465,c_1251]) ).
tcf(c_1618,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(identity,double_divide(double_divide(identity,double_divide(X0,X1)),X2)) = double_divide(double_divide(X1,X2),double_divide(X0,identity)),
inference(demodulation,[status(thm)],[c_1550,c_1615]) ).
tcf(c_1622,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,double_divide(identity,identity)),X1) = double_divide(double_divide(X0,identity),X1),
inference(demodulation,[status(thm)],[c_1536,c_1537]) ).
tcf(c_1623,plain,
! [X0: $i,X1: $i] : double_divide(identity,double_divide(double_divide(identity,X0),X1)) = double_divide(double_divide(X1,identity),X0),
inference(demodulation,[status(thm)],[c_1622,c_1062]) ).
tcf(c_1642,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,X1),double_divide(X2,identity)) = double_divide(double_divide(X0,X1),double_divide(identity,X2)),
inference(demodulation,[status(thm)],[c_1563,c_1561]) ).
tcf(c_3326,plain,
! [X0: $i,X1: $i] : double_divide(identity,double_divide(X0,double_divide(identity,X1))) = double_divide(X1,double_divide(X0,identity)),
inference(superposition,[status(thm)],[c_402,c_1249]) ).
tcf(c_3929,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,X1),double_divide(X2,identity)) = double_divide(double_divide(X1,identity),double_divide(X2,X0)),
inference(demodulation,[status(thm)],[c_1618,c_1623]) ).
tcf(c_3930,plain,
double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))) != double_divide(double_divide(a3,identity),double_divide(c3,b3)),
inference(demodulation,[status(thm)],[c_548,c_1623]) ).
tcf(c_3931,plain,
double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))) != double_divide(double_divide(b3,a3),double_divide(c3,identity)),
inference(demodulation,[status(thm)],[c_3930,c_3929]) ).
tcf(c_3932,plain,
double_divide(double_divide(b3,a3),double_divide(identity,c3)) != double_divide(double_divide(b3,a3),double_divide(identity,c3)),
inference(demodulation,[status(thm)],[c_3931,c_1642,c_3326]) ).
tcf(c_3933,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_3932]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP075-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 13:28:42 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 3.33/1.19 % SZS status Started for theBenchmark.p
% 3.33/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 3.33/1.19
% 3.33/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.33/1.19
% 3.33/1.19 % ------ iProver source info
% 3.33/1.19
% 3.33/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 3.33/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.33/1.19 % git: non_committed_changes: false
% 3.33/1.19
% 3.33/1.19 % ------ Parsing...% successful
% 3.33/1.19
% 3.33/1.19
% 3.33/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.33/1.19
% 3.33/1.19 % ------ Preprocessing... sup_sim: 0 pe_s pe_e %
% 3.33/1.19
% 3.33/1.19 % ------ Preprocessing... gs_s sp: 0 0s gs_e scvd_s sp: 0 0s scvd_e snvd_s sp: 0 0s snvd_e %
% 3.33/1.19
% 3.33/1.19 % ------ Preprocessing...
% 3.33/1.19 % ------ Proving...
% 3.33/1.19 % ------ Problem Properties
% 3.33/1.19
% 3.33/1.19 %
% 3.33/1.19 % clauses 3
% 3.33/1.19 % conjectures 1
% 3.33/1.19 % EPR 0
% 3.33/1.19 % Horn 3
% 3.33/1.19 % unary 2
% 3.33/1.19 % binary 0
% 3.33/1.19 % lits 5
% 3.33/1.19 % lits eq 5
% 3.33/1.19 % fd_pure 0
% 3.33/1.19 % fd_pseudo 0
% 3.33/1.19 % fd_cond 0
% 3.33/1.19 % fd_pseudo_cond 0
% 3.33/1.19 % AC symbols 0
% 3.33/1.19
% 3.33/1.19 % ------ Input Options Time Limit: Unbounded
% 3.33/1.19
% 3.33/1.19
% 3.33/1.19 % ------
% 3.33/1.19 % Current options:
% 3.33/1.19 % ------
% 3.33/1.19
% 3.33/1.19
% 3.33/1.19 %
% 3.33/1.19
% 3.33/1.19 % ------ Proving...
% 3.33/1.19 %
% 3.33/1.19
% 3.33/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 3.33/1.19
% 3.33/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.33/1.19
%------------------------------------------------------------------------------