%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP082-1 : 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 : n002.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 01:30:41 PM UTC 2026
% Result : Unsatisfiable 46.88s 8.29s
% Output : CNFRefutation 46.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 3
% Syntax : Number of formulae : 85 ( 78 unt; 0 def)
% Number of atoms : 96 ( 95 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 20 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 269 ( 0 sgn 269 !; 0 ?; 263 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X2))),double_divide(X3,double_divide(X1,X3))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f4,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(reorient_equations,[],[f3]) ).
fof(f5,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3))
| a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2)))))
| inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) ),
inference(definition_unfolding,[],[f4,f2,f2,f2,f2,f2,f2,f2,f2]) ).
tcf(c_52,negated_conjecture,
( ( inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) )
| ( inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))) )
| ( inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) != a2 ) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X2))),double_divide(X3,double_divide(X1,X3))))) = X2,
inference(cnf_transformation,[],[f1]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,X1)),double_divide(X2,double_divide(inverse(X3),X2))))) = inverse(double_divide(inverse(double_divide(X3,double_divide(X4,X1))),double_divide(X5,double_divide(X4,X5)))),
inference(superposition,[status(thm)],[c_53,c_53]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(double_divide(inverse(double_divide(X0,double_divide(X1,double_divide(inverse(X0),X2)))),double_divide(X3,double_divide(X1,X3)))) = X2,
inference(superposition,[status(thm)],[c_108,c_53]) ).
tcf(c_139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(X0),double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X2)),double_divide(X3,double_divide(inverse(X0),X3)))))) = X2,
inference(superposition,[status(thm)],[c_108,c_53]) ).
tcf(c_233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : double_divide(inverse(inverse(double_divide(X0,double_divide(X1,double_divide(inverse(X0),X2))))),inverse(double_divide(X2,double_divide(X3,double_divide(X4,X3))))) = double_divide(X1,X4),
inference(superposition,[status(thm)],[c_130,c_53]) ).
tcf(c_289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(X0,double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X2)),double_divide(X3,double_divide(X0,X3)))))) = X2,
inference(superposition,[status(thm)],[c_130,c_139]) ).
tcf(c_310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : double_divide(X0,double_divide(inverse(inverse(X1)),inverse(double_divide(inverse(X2),double_divide(X3,double_divide(X0,X3)))))) = inverse(double_divide(inverse(double_divide(X1,double_divide(X4,X2))),double_divide(X5,double_divide(X4,X5)))),
inference(superposition,[status(thm)],[c_53,c_289]) ).
tcf(c_318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : double_divide(inverse(X0),inverse(double_divide(inverse(X1),double_divide(X2,double_divide(inverse(X3),X2))))) = inverse(double_divide(inverse(double_divide(X3,X1)),double_divide(X4,double_divide(X0,X4)))),
inference(superposition,[status(thm)],[c_289,c_53]) ).
tcf(c_327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : inverse(double_divide(inverse(double_divide(X0,X1)),double_divide(X2,double_divide(X3,X2)))) = inverse(double_divide(inverse(double_divide(X0,X1)),double_divide(X4,double_divide(X3,X4)))),
inference(superposition,[status(thm)],[c_289,c_130]) ).
tcf(c_489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(double_divide(X0,double_divide(X1,double_divide(X2,X1)))) = inverse(double_divide(X0,double_divide(X3,double_divide(X2,X3)))),
inference(superposition,[status(thm)],[c_130,c_327]) ).
tcf(c_1555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(X0),double_divide(X1,double_divide(inverse(inverse(X0)),inverse(double_divide(inverse(X2),double_divide(X3,double_divide(X1,X3))))))) = X2,
inference(superposition,[status(thm)],[c_310,c_53]) ).
tcf(c_2042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(X0,double_divide(X1,double_divide(inverse(X0),inverse(double_divide(inverse(X2),double_divide(X3,double_divide(X1,X3))))))) = X2,
inference(superposition,[status(thm)],[c_130,c_1555]) ).
tcf(c_2194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(double_divide(inverse(double_divide(X0,double_divide(X1,double_divide(inverse(X0),X1)))),double_divide(X2,double_divide(X3,X2)))) = X3,
inference(superposition,[status(thm)],[c_489,c_130]) ).
tcf(c_2317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(X0,double_divide(X1,double_divide(inverse(X0),inverse(X2))))),double_divide(X3,double_divide(X1,X3))) = X2,
inference(superposition,[status(thm)],[c_233,c_2042]) ).
tcf(c_2327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(X0,double_divide(X1,double_divide(inverse(X0),X2))) = double_divide(X3,double_divide(X1,double_divide(inverse(X3),X2))),
inference(superposition,[status(thm)],[c_130,c_2042]) ).
tcf(c_2706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X1,double_divide(X2,double_divide(inverse(X1),X3)))),double_divide(X4,double_divide(X2,X4))))) = double_divide(inverse(X0),X3),
inference(superposition,[status(thm)],[c_2327,c_53]) ).
tcf(c_3119,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(inverse(X1),X0)) = double_divide(X2,double_divide(inverse(X1),X2)),
inference(superposition,[status(thm)],[c_2194,c_289]) ).
tcf(c_3128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(X0,double_divide(X1,double_divide(inverse(X0),X1))) = double_divide(X2,double_divide(X3,double_divide(inverse(X2),X3))),
inference(superposition,[status(thm)],[c_2194,c_2042]) ).
tcf(c_3557,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(X1,X0)) = double_divide(X2,double_divide(X1,X2)),
inference(superposition,[status(thm)],[c_2194,c_3119]) ).
tcf(c_3711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : double_divide(inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X2))),double_divide(X3,double_divide(X1,X3)))),X2) = double_divide(X4,double_divide(inverse(X0),X4)),
inference(superposition,[status(thm)],[c_53,c_3557]) ).
tcf(c_3794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X1,double_divide(X2,X1))),double_divide(X3,double_divide(X2,X3))))) = X0,
inference(superposition,[status(thm)],[c_3557,c_53]) ).
tcf(c_3801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(double_divide(X0,X1),double_divide(X2,double_divide(X0,X2))) = double_divide(X3,double_divide(X1,X3)),
inference(superposition,[status(thm)],[c_3557,c_3557]) ).
tcf(c_3854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(double_divide(double_divide(X0,X1),double_divide(X2,double_divide(X0,X2)))) = inverse(double_divide(X3,double_divide(X1,X3))),
inference(superposition,[status(thm)],[c_3557,c_489]) ).
tcf(c_6149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(X0),double_divide(X1,double_divide(X2,X1))) = double_divide(inverse(X0),double_divide(X3,double_divide(X2,X3))),
inference(superposition,[status(thm)],[c_2042,c_2317]) ).
tcf(c_6157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(X0,double_divide(X1,double_divide(inverse(X0),X1)))),double_divide(X2,double_divide(inverse(X3),X2))) = X3,
inference(superposition,[status(thm)],[c_3557,c_2317]) ).
tcf(c_6158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : double_divide(inverse(double_divide(X0,double_divide(X1,X2))),double_divide(X3,double_divide(X1,X3))) = double_divide(inverse(double_divide(X0,double_divide(X4,X2))),double_divide(X5,double_divide(X4,X5))),
inference(superposition,[status(thm)],[c_53,c_2317]) ).
tcf(c_6694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(X0,double_divide(X1,double_divide(X2,X1))) = double_divide(X0,double_divide(X3,double_divide(X2,X3))),
inference(superposition,[status(thm)],[c_2194,c_6149]) ).
tcf(c_8362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(double_divide(X0,double_divide(X1,double_divide(inverse(X0),inverse(double_divide(X2,double_divide(X3,X2))))))) = double_divide(X1,X3),
inference(superposition,[status(thm)],[c_3794,c_233]) ).
tcf(c_15076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(double_divide(inverse(double_divide(X0,double_divide(X1,X0))),X1),double_divide(X2,double_divide(inverse(X3),X2))) = X3,
inference(superposition,[status(thm)],[c_8362,c_6157]) ).
tcf(c_15077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(double_divide(double_divide(inverse(double_divide(X0,double_divide(X1,X0))),X1),double_divide(X2,double_divide(X3,X2)))) = X3,
inference(superposition,[status(thm)],[c_8362,c_2194]) ).
tcf(c_16426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(X0,double_divide(X1,X0))),X1) = double_divide(X2,double_divide(X3,double_divide(inverse(X2),X3))),
inference(superposition,[status(thm)],[c_15076,c_3128]) ).
tcf(c_17600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : double_divide(inverse(double_divide(inverse(double_divide(X0,double_divide(X1,double_divide(inverse(X0),X1)))),double_divide(X2,double_divide(X3,X2)))),X4) = double_divide(X5,double_divide(inverse(inverse(double_divide(X6,double_divide(double_divide(X3,X4),X6)))),X5)),
inference(superposition,[status(thm)],[c_16426,c_3711]) ).
tcf(c_17701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(double_divide(X0,double_divide(X1,double_divide(inverse(X0),X1))),double_divide(X2,double_divide(inverse(X3),X2))) = X3,
inference(superposition,[status(thm)],[c_16426,c_15076]) ).
tcf(c_17723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : inverse(double_divide(double_divide(inverse(double_divide(X0,double_divide(X1,X0))),X1),double_divide(X2,double_divide(X3,X2)))) = inverse(double_divide(X4,double_divide(double_divide(X5,double_divide(inverse(X3),X5)),X4))),
inference(superposition,[status(thm)],[c_16426,c_3854]) ).
tcf(c_17815,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(double_divide(X0,double_divide(double_divide(X1,double_divide(inverse(X2),X1)),X0))) = X2,
inference(light_normalisation,[status(thm)],[c_17723,c_15077]) ).
tcf(c_17817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(X0,double_divide(inverse(inverse(double_divide(X1,double_divide(double_divide(X2,X3),X1)))),X0)) = double_divide(X2,X3),
inference(light_normalisation,[status(thm)],[c_17600,c_2194]) ).
tcf(c_19248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(double_divide(double_divide(X0,double_divide(X1,X0)),double_divide(X2,double_divide(double_divide(inverse(X3),X1),X2)))) = X3,
inference(superposition,[status(thm)],[c_3801,c_17815]) ).
tcf(c_21279,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(double_divide(X1,double_divide(inverse(inverse(X2)),X1)),X0)) = X2,
inference(superposition,[status(thm)],[c_17701,c_3801]) ).
tcf(c_25007,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(inverse(inverse(double_divide(X1,double_divide(X2,X1)))),X0)) = X2,
inference(superposition,[status(thm)],[c_21279,c_17817]) ).
tcf(c_33116,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(inverse(double_divide(X0,double_divide(X1,X0)))) = double_divide(X2,double_divide(inverse(inverse(X1)),X2)),
inference(superposition,[status(thm)],[c_25007,c_25007]) ).
tcf(c_33120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(double_divide(X0,double_divide(X1,double_divide(inverse(inverse(double_divide(X2,double_divide(X3,X2)))),X1)))) = inverse(double_divide(X0,X3)),
inference(superposition,[status(thm)],[c_25007,c_489]) ).
tcf(c_37990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : inverse(double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(inverse(inverse(X2)),X1)),X0)),double_divide(double_divide(X3,double_divide(inverse(X4),X3)),X4))) = X2,
inference(superposition,[status(thm)],[c_17701,c_19248]) ).
tcf(c_38138,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(double_divide(X0,double_divide(double_divide(X1,double_divide(inverse(X2),X1)),X2))) = X0,
inference(light_normalisation,[status(thm)],[c_37990,c_21279]) ).
tcf(c_38860,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(double_divide(X0,double_divide(inverse(inverse(double_divide(X1,double_divide(X2,X1)))),inverse(X2)))) = X0,
inference(superposition,[status(thm)],[c_33116,c_38138]) ).
tcf(c_38864,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(double_divide(X0,double_divide(X1,inverse(double_divide(X2,double_divide(X1,X2)))))) = X0,
inference(superposition,[status(thm)],[c_25007,c_38138]) ).
tcf(c_42119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(X0),inverse(double_divide(X0,double_divide(X1,double_divide(inverse(inverse(double_divide(X2,double_divide(X3,X2)))),X1))))) = inverse(X3),
inference(superposition,[status(thm)],[c_38860,c_53]) ).
tcf(c_42182,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),inverse(double_divide(X0,X1))) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_42119,c_33120]) ).
tcf(c_43332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X2))),double_divide(X3,double_divide(X1,X3))))) = double_divide(inverse(inverse(X0)),inverse(X2)),
inference(superposition,[status(thm)],[c_53,c_42182]) ).
tcf(c_43486,plain,
! [X0: $i,X1: $i] : inverse(double_divide(X0,inverse(double_divide(inverse(X1),X1)))) = X0,
inference(superposition,[status(thm)],[c_42182,c_38864]) ).
tcf(c_44014,plain,
! [X0: $i,X1: $i] : inverse(double_divide(X0,inverse(double_divide(X1,inverse(X1))))) = X0,
inference(superposition,[status(thm)],[c_233,c_43486]) ).
tcf(c_44104,plain,
( ( inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) )
| ( inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))) ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_52,c_44014]) ).
tcf(c_50788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,X1)),double_divide(X2,double_divide(inverse(X3),X2)))))) = double_divide(inverse(inverse(X3)),inverse(X1)),
inference(superposition,[status(thm)],[c_318,c_43332]) ).
tcf(c_52870,plain,
! [X0: $i] : inverse(inverse(inverse(X0))) = inverse(X0),
inference(superposition,[status(thm)],[c_42182,c_44014]) ).
tcf(c_52966,plain,
! [X0: $i,X1: $i] : inverse(double_divide(X0,double_divide(X1,inverse(X1)))) = X0,
inference(superposition,[status(thm)],[c_44014,c_44014]) ).
tcf(c_54214,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_38138,c_52870]) ).
tcf(c_54301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : inverse(double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,X1)),double_divide(X2,double_divide(inverse(X3),X2)))))) = double_divide(inverse(double_divide(X3,double_divide(X4,X1))),double_divide(X5,double_divide(X4,X5))),
inference(superposition,[status(thm)],[c_108,c_54214]) ).
tcf(c_54364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(X0,double_divide(X1,double_divide(inverse(X0),X2)))),double_divide(X3,double_divide(X1,X3))) = inverse(X2),
inference(superposition,[status(thm)],[c_54214,c_2317]) ).
tcf(c_54366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(X0,double_divide(X1,X2))),double_divide(X3,double_divide(X1,X3))) = double_divide(inverse(inverse(X0)),inverse(X2)),
inference(light_normalisation,[status(thm)],[c_54301,c_50788]) ).
tcf(c_54367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(X0,double_divide(X1,X2))),double_divide(X3,double_divide(X1,X3))) = double_divide(X0,inverse(X2)),
inference(light_normalisation,[status(thm)],[c_54366,c_54214]) ).
tcf(c_56351,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,inverse(X1))) = inverse(X0),
inference(superposition,[status(thm)],[c_52966,c_54214]) ).
tcf(c_59585,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(X1,double_divide(X2,X1))) = double_divide(X0,inverse(inverse(X2))),
inference(superposition,[status(thm)],[c_56351,c_6694]) ).
tcf(c_59588,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,X0)) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_56351,c_3557]) ).
tcf(c_59872,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(demodulation,[status(thm)],[c_59588,c_54214]) ).
tcf(c_59878,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_59872,c_59872]) ).
tcf(c_59879,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),inverse(X1)) = inverse(double_divide(X1,X0)),
inference(superposition,[status(thm)],[c_59872,c_42182]) ).
tcf(c_59892,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),X0) = double_divide(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_56351,c_59878]) ).
tcf(c_60744,plain,
! [X0: $i,X1: $i] : double_divide(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_59892,c_59892]) ).
tcf(c_62081,plain,
! [X0: $i,X1: $i] : inverse(double_divide(inverse(X0),X1)) = double_divide(inverse(X1),X0),
inference(demodulation,[status(thm)],[c_2706,c_54364,c_59879]) ).
tcf(c_62082,plain,
( ( inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) )
| ( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != double_divide(inverse(a3),double_divide(c3,b3)) ) ),
inference(demodulation,[status(thm)],[c_44104,c_62081]) ).
tcf(c_62086,plain,
! [X0: $i] : inverse(double_divide(X0,inverse(X0))) = double_divide(X0,inverse(X0)),
inference(superposition,[status(thm)],[c_59892,c_62081]) ).
tcf(c_62117,plain,
( ( double_divide(a1,inverse(a1)) != double_divide(b1,inverse(b1)) )
| ( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != double_divide(inverse(a3),double_divide(c3,b3)) ) ),
inference(demodulation,[status(thm)],[c_62082,c_62086]) ).
tcf(c_62118,plain,
inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != double_divide(inverse(a3),double_divide(c3,b3)),
inference(forward_subsumption_resolution,[status(thm)],[c_62117,c_60744]) ).
tcf(c_62192,plain,
! [X0: $i,X1: $i] : inverse(double_divide(X0,inverse(X1))) = double_divide(X1,inverse(X0)),
inference(superposition,[status(thm)],[c_54214,c_59879]) ).
tcf(c_62216,plain,
double_divide(double_divide(b3,a3),inverse(c3)) != double_divide(inverse(a3),double_divide(c3,b3)),
inference(demodulation,[status(thm)],[c_62118,c_62192]) ).
tcf(c_62709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(X0,double_divide(X1,X2))),double_divide(X3,double_divide(X1,X3))) = double_divide(X0,inverse(X2)),
inference(light_normalisation,[status(thm)],[c_6158,c_54367]) ).
tcf(c_62710,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(X0,double_divide(X1,X2))),X1) = double_divide(X0,inverse(X2)),
inference(demodulation,[status(thm)],[c_62709,c_59585,c_59879,c_62081]) ).
tcf(c_62718,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1)) = double_divide(inverse(X2),X0),
inference(superposition,[status(thm)],[c_59878,c_62710]) ).
tcf(c_63100,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,X1),inverse(X2)) = double_divide(inverse(X1),double_divide(X2,X0)),
inference(superposition,[status(thm)],[c_59878,c_62718]) ).
tcf(c_63119,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_62216,c_63100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP082-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n002.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Wed Sep 23 13:31:33 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 46.88/8.29 % SZS status Started for theBenchmark.p
% 46.88/8.29 % SZS status Unsatisfiable for theBenchmark.p
% 46.88/8.29
% 46.88/8.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 46.88/8.29
% 46.88/8.29 % ------ iProver source info
% 46.88/8.29
% 46.88/8.29 % git: date: 2026-07-19 20:42:38 +0200
% 46.88/8.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 46.88/8.29 % git: non_committed_changes: false
% 46.88/8.29
% 46.88/8.29 % ------ Parsing...% successful
% 46.88/8.29
% 46.88/8.29
% 46.88/8.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 46.88/8.29
% 46.88/8.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 46.88/8.29
% 46.88/8.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 46.88/8.29
% 46.88/8.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 46.88/8.29 % ------ Proving...
% 46.88/8.29 % ------ Problem Properties
% 46.88/8.29
% 46.88/8.29 %
% 46.88/8.29 % clauses 2
% 46.88/8.29 % conjectures 1
% 46.88/8.29 % EPR 0
% 46.88/8.29 % Horn 2
% 46.88/8.29 % unary 1
% 46.88/8.29 % binary 0
% 46.88/8.29 % lits 4
% 46.88/8.29 % lits eq 4
% 46.88/8.29 % fd_pure 0
% 46.88/8.29 % fd_pseudo 0
% 46.88/8.29 % fd_cond 0
% 46.88/8.29 % fd_pseudo_cond 0
% 46.88/8.29 % AC symbols 0
% 46.88/8.29
% 46.88/8.29 % ------ Schedule dynamic 5 is on
% 46.88/8.29
% 46.88/8.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 46.88/8.29
% 46.88/8.29
% 46.88/8.29 % ------
% 46.88/8.29 % Current options:
% 46.88/8.29 % ------
% 46.88/8.29
% 46.88/8.29
% 46.88/8.29 %
% 46.88/8.29
% 46.88/8.29 % ------ Proving...
% 46.88/8.29 %
% 46.88/8.29
% 46.88/8.29 % SZS status Unsatisfiable for theBenchmark.p
% 46.88/8.29
% 46.88/8.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 46.88/8.29
% 46.88/8.29
%------------------------------------------------------------------------------