%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP472-1 : 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 : n003.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 01:34:20 PM UTC 2026
% Result : Unsatisfiable 4.09s 1.20s
% Output : CNFRefutation 4.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 3
% Syntax : Number of formulae : 138 ( 138 unt; 0 def)
% Number of atoms : 521 ( 137 equ)
% Maximal formula atoms : 1 ( 3 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 14 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 486 ( 0 sgn 486 !; 0 ?; 480 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(divide(inverse(divide(X0,X1)),divide(divide(X2,X3),X0)),divide(X3,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
fof(f4,plain,
divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)),
inference(definition_unfolding,[],[f3,f2,f2]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(divide(inverse(divide(X0,X1)),divide(divide(X2,X3),X0)),divide(X3,X2)) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_53,negated_conjecture,
divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : divide(divide(inverse(X0),divide(divide(X1,X2),divide(inverse(divide(X3,X0)),divide(divide(X4,X5),X3)))),divide(X2,X1)) = divide(X5,X4),
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : divide(divide(inverse(divide(X0,X1)),divide(X2,X0)),divide(divide(X3,X4),divide(inverse(divide(X5,X2)),divide(divide(X4,X3),X5)))) = X1,
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(divide(inverse(divide(divide(X0,X1),X2)),X3),divide(divide(divide(X1,X0),X4),inverse(divide(X4,X3)))) = X2,
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : divide(divide(inverse(divide(X0,X1)),divide(divide(divide(X2,X3),divide(inverse(divide(X4,X5)),divide(divide(X3,X2),X4))),X0)),X5) = X1,
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : divide(divide(inverse(X0),divide(divide(X1,X2),divide(inverse(divide(divide(X3,X4),X0)),X5))),divide(X2,X1)) = divide(divide(divide(X4,X3),X6),inverse(divide(X6,X5))),
inference(superposition,[status(thm)],[c_52,c_63]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] : divide(divide(inverse(X0),divide(divide(X1,X2),divide(inverse(divide(X3,X0)),divide(X4,X3)))),divide(X2,X1)) = divide(divide(divide(divide(X5,X6),X7),inverse(divide(X7,X8))),divide(inverse(divide(divide(X6,X5),X4)),X8)),
inference(superposition,[status(thm)],[c_65,c_63]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] : divide(divide(inverse(divide(X0,X1)),divide(X2,X0)),divide(divide(divide(divide(X3,X4),divide(inverse(divide(X5,X6)),divide(divide(X4,X3),X5))),divide(inverse(divide(X7,X8)),divide(X6,X7))),divide(inverse(divide(X9,X2)),divide(X8,X9)))) = X1,
inference(superposition,[status(thm)],[c_64,c_64]) ).
tcf(c_175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : divide(divide(inverse(X0),divide(divide(X1,X2),divide(inverse(divide(X3,X0)),divide(X4,X3)))),divide(X2,X1)) = divide(divide(X5,X6),divide(inverse(divide(X7,X4)),divide(divide(X6,X5),X7))),
inference(superposition,[status(thm)],[c_64,c_52]) ).
tcf(c_179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] : divide(divide(divide(X0,X1),divide(inverse(divide(X2,X3)),divide(divide(X1,X0),X2))),divide(inverse(divide(X4,X5)),divide(X3,X4))) = divide(divide(inverse(X6),divide(divide(X7,X8),divide(inverse(divide(X9,X6)),divide(X5,X9)))),divide(X8,X7)),
inference(superposition,[status(thm)],[c_64,c_63]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : divide(divide(inverse(X0),X1),divide(divide(divide(divide(X2,X3),inverse(divide(X3,X0))),X4),inverse(divide(X4,X1)))) = divide(divide(X5,X6),divide(inverse(divide(X7,X2)),divide(divide(X6,X5),X7))),
inference(superposition,[status(thm)],[c_64,c_65]) ).
tcf(c_222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] : divide(divide(inverse(divide(X0,X1)),divide(divide(X2,divide(inverse(divide(X3,X4)),divide(divide(X5,divide(inverse(divide(X6,X2)),divide(divide(divide(X7,X8),divide(inverse(divide(X9,X5)),divide(divide(X8,X7),X9))),X6))),X3))),X0)),X4) = X1,
inference(superposition,[status(thm)],[c_66,c_66]) ).
tcf(c_228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] : divide(X0,divide(inverse(divide(X1,X2)),divide(divide(divide(X3,X4),divide(inverse(divide(X5,X0)),divide(divide(X4,X3),X5))),X1))) = divide(divide(inverse(X6),divide(divide(X7,X8),divide(inverse(divide(X9,X6)),divide(X2,X9)))),divide(X8,X7)),
inference(superposition,[status(thm)],[c_66,c_63]) ).
tcf(c_244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(divide(divide(X0,X1),X2),inverse(divide(X2,X3))) = iPr_def_10(X0,X1,X3),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_125]) ).
tcf(c_248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(divide(X0,X1),divide(inverse(divide(X2,X3)),divide(divide(X1,X0),X2))) = iPr_def_11(X3),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_175]) ).
tcf(c_249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(divide(inverse(X0),divide(divide(X1,X2),divide(inverse(divide(X3,X0)),divide(X4,X3)))),divide(X2,X1)) = iPr_def_11(X4),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_175]) ).
tcf(c_256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(divide(inverse(X0),X1),iPr_def_10(divide(X2,X3),inverse(divide(X3,X0)),X1)) = iPr_def_11(X2),
inference(demodulation,[status(thm)],[c_184,c_244,c_248]) ).
tcf(c_290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(iPr_def_10(X0,X1,X2),divide(inverse(divide(divide(X1,X0),X3)),X2)) = iPr_def_11(X3),
inference(demodulation,[status(thm)],[c_130,c_244,c_249]) ).
tcf(c_299,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(inverse(divide(X1,X2)),divide(iPr_def_11(X0),X1))) = iPr_def_11(X2),
inference(demodulation,[status(thm)],[c_228,c_248,c_249]) ).
tcf(c_302,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(inverse(divide(X0,X1)),divide(iPr_def_11(X2),X0)),X2) = X1,
inference(demodulation,[status(thm)],[c_222,c_248,c_299]) ).
tcf(c_318,plain,
! [X0: $i,X1: $i,X2: $i] : divide(iPr_def_11(X0),divide(inverse(divide(X1,X2)),divide(X0,X1))) = iPr_def_11(X2),
inference(demodulation,[status(thm)],[c_179,c_248,c_249]) ).
tcf(c_320,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(inverse(divide(X0,X1)),divide(X2,X0)),iPr_def_11(X2)) = X1,
inference(demodulation,[status(thm)],[c_172,c_248,c_318]) ).
tcf(c_324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(divide(inverse(divide(divide(X0,X1),X2)),X3),iPr_def_10(X1,X0,X3)) = X2,
inference(demodulation,[status(thm)],[c_65,c_244]) ).
tcf(c_327,plain,
! [X0: $i,X1: $i] : iPr_def_11(divide(X0,X1)) = divide(X1,X0),
inference(demodulation,[status(thm)],[c_63,c_249]) ).
tcf(c_654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(divide(inverse(divide(X0,X1)),divide(divide(X2,divide(inverse(divide(X3,X4)),divide(iPr_def_11(X2),X3))),X0)),X4) = X1,
inference(superposition,[status(thm)],[c_302,c_52]) ).
tcf(c_673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(X0,divide(inverse(X1),divide(iPr_def_11(X0),divide(inverse(divide(X2,X1)),divide(X3,X2))))) = iPr_def_11(iPr_def_11(X3)),
inference(superposition,[status(thm)],[c_320,c_299]) ).
tcf(c_677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(divide(inverse(iPr_def_11(X0)),divide(iPr_def_11(X1),X2)),X1) = divide(inverse(divide(X3,X0)),divide(iPr_def_11(X2),X3)),
inference(superposition,[status(thm)],[c_299,c_302]) ).
tcf(c_682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(divide(inverse(divide(X0,X1)),divide(divide(divide(inverse(divide(X2,X3)),divide(iPr_def_11(X4),X2)),X4),X0)),iPr_def_11(X3)) = X1,
inference(superposition,[status(thm)],[c_299,c_52]) ).
tcf(c_686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(divide(inverse(divide(divide(inverse(divide(X0,X1)),divide(iPr_def_11(iPr_def_11(X2)),X0)),X3)),iPr_def_11(X1)),X2) = X3,
inference(superposition,[status(thm)],[c_299,c_302]) ).
tcf(c_693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(iPr_def_11(divide(inverse(divide(X0,X1)),divide(divide(X2,X3),X0))),divide(inverse(divide(divide(X3,X2),X4)),X1)) = iPr_def_11(X4),
inference(superposition,[status(thm)],[c_52,c_318]) ).
tcf(c_700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(divide(inverse(iPr_def_11(X0)),divide(iPr_def_11(X1),iPr_def_11(X2))),X1) = divide(inverse(divide(X3,X0)),divide(X2,X3)),
inference(superposition,[status(thm)],[c_318,c_302]) ).
tcf(c_701,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(inverse(divide(X0,X1)),divide(X2,X0)),iPr_def_11(X2)) = iPr_def_11(iPr_def_11(X1)),
inference(superposition,[status(thm)],[c_318,c_327]) ).
tcf(c_731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(inverse(divide(X0,X1)),divide(divide(X2,X3),X0)) = iPr_def_11(iPr_def_10(X2,X3,X1)),
inference(superposition,[status(thm)],[c_244,c_327]) ).
tcf(c_744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(inverse(divide(X0,X1)),divide(iPr_def_11(divide(X2,X3)),X0)) = divide(divide(inverse(iPr_def_11(X1)),X4),iPr_def_10(X3,X2,X4)),
inference(superposition,[status(thm)],[c_299,c_324]) ).
tcf(c_763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : divide(divide(inverse(divide(X0,X1)),divide(X2,X0)),divide(iPr_def_10(X3,X4,X5),divide(inverse(divide(divide(X4,X3),X2)),X5))) = X1,
inference(superposition,[status(thm)],[c_324,c_52]) ).
tcf(c_790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(divide(inverse(iPr_def_11(X0)),divide(iPr_def_11(X1),iPr_def_10(X2,X3,X4))),X1) = divide(inverse(divide(divide(X3,X2),X0)),X4),
inference(superposition,[status(thm)],[c_290,c_302]) ).
tcf(c_828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : divide(divide(divide(inverse(divide(divide(X0,X1),X2)),X3),iPr_def_10(X1,X0,X3)),divide(inverse(divide(X4,X5)),divide(iPr_def_11(X2),X4))) = iPr_def_11(X5),
inference(superposition,[status(thm)],[c_290,c_248]) ).
tcf(c_833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : divide(divide(iPr_def_10(X0,X1,X2),divide(inverse(divide(divide(X1,X0),X3)),X2)),divide(inverse(divide(X4,X5)),divide(X3,X4))) = iPr_def_11(X5),
inference(superposition,[status(thm)],[c_324,c_248]) ).
tcf(c_849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(divide(inverse(iPr_def_11(X0)),X1),iPr_def_10(X2,X3,X1)) = divide(inverse(divide(X4,X0)),divide(divide(X2,X3),X4)),
inference(superposition,[status(thm)],[c_248,c_324]) ).
tcf(c_859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : divide(divide(inverse(X0),X1),iPr_def_10(iPr_def_11(X2),inverse(divide(divide(inverse(divide(X3,X2)),divide(divide(X4,X5),X3)),X0)),X1)) = iPr_def_11(divide(X5,X4)),
inference(superposition,[status(thm)],[c_248,c_256]) ).
tcf(c_863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(divide(inverse(X0),X1),iPr_def_10(iPr_def_11(X2),inverse(divide(divide(inverse(divide(X3,X2)),divide(X4,X3)),X0)),X1)) = iPr_def_11(iPr_def_11(X4)),
inference(superposition,[status(thm)],[c_318,c_256]) ).
tcf(c_864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(divide(inverse(X0),X1),iPr_def_10(X2,inverse(divide(X3,X0)),X1)) = iPr_def_11(divide(inverse(divide(X4,X2)),divide(iPr_def_11(X3),X4))),
inference(superposition,[status(thm)],[c_302,c_256]) ).
tcf(c_875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(divide(inverse(iPr_def_11(X0)),X1),iPr_def_10(divide(X2,divide(inverse(divide(X3,X4)),divide(X0,X3))),inverse(X4),X1)) = iPr_def_11(X2),
inference(superposition,[status(thm)],[c_320,c_256]) ).
tcf(c_882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(divide(inverse(iPr_def_11(X0)),divide(iPr_def_11(X1),divide(inverse(X2),X3))),X1) = iPr_def_10(divide(X0,X4),inverse(divide(X4,X2)),X3),
inference(superposition,[status(thm)],[c_256,c_302]) ).
tcf(c_883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(iPr_def_10(divide(X0,X1),inverse(divide(X1,X2)),X3),divide(inverse(X2),X3)) = iPr_def_11(iPr_def_11(X0)),
inference(superposition,[status(thm)],[c_256,c_327]) ).
tcf(c_888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : divide(divide(inverse(divide(X0,X1)),divide(iPr_def_11(X2),X0)),divide(iPr_def_10(divide(X2,X3),inverse(divide(X3,X4)),X5),divide(inverse(X4),X5))) = X1,
inference(superposition,[status(thm)],[c_256,c_52]) ).
tcf(c_901,plain,
! [X0: $i] : iPr_def_11(iPr_def_11(X0)) = X0,
inference(demodulation,[status(thm)],[c_701,c_320]) ).
tcf(c_905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(iPr_def_10(divide(X0,X1),inverse(divide(X1,X2)),X3),divide(inverse(X2),X3)) = X0,
inference(demodulation,[status(thm)],[c_883,c_901]) ).
tcf(c_908,plain,
! [X0: $i,X1: $i,X2: $i] : divide(inverse(divide(X0,X1)),divide(X2,X0)) = iPr_def_12(X1,X2),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_700]) ).
tcf(c_914,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(inverse(divide(iPr_def_12(X0,X1),X2)),iPr_def_11(X0)),X1) = X2,
inference(demodulation,[status(thm)],[c_686,c_901,c_908]) ).
tcf(c_915,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(inverse(iPr_def_11(X0)),divide(iPr_def_11(X1),X2)),X1) = iPr_def_12(X0,iPr_def_11(X2)),
inference(demodulation,[status(thm)],[c_677,c_908]) ).
tcf(c_917,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(inverse(X1),divide(iPr_def_11(X0),iPr_def_12(X1,X2)))) = X2,
inference(demodulation,[status(thm)],[c_673,c_901,c_908]) ).
tcf(c_920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(divide(inverse(iPr_def_11(X0)),X1),iPr_def_10(X2,X3,X1)) = iPr_def_11(iPr_def_10(X2,X3,X0)),
inference(demodulation,[status(thm)],[c_849,c_731]) ).
tcf(c_932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(inverse(divide(divide(X0,X1),X2)),X3) = iPr_def_12(X2,iPr_def_11(iPr_def_10(X1,X0,X3))),
inference(demodulation,[status(thm)],[c_790,c_915]) ).
tcf(c_937,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_12(X0,iPr_def_11(divide(X1,X2))) = iPr_def_11(iPr_def_10(X2,X1,X0)),
inference(demodulation,[status(thm)],[c_744,c_908,c_920]) ).
tcf(c_938,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(iPr_def_10(X0,X1,X2)) = iPr_def_12(X2,divide(X0,X1)),
inference(demodulation,[status(thm)],[c_937,c_327]) ).
tcf(c_948,plain,
! [X0: $i,X1: $i,X2: $i] : divide(iPr_def_11(iPr_def_10(X0,iPr_def_12(X1,iPr_def_11(X0)),X2)),X1) = X2,
inference(demodulation,[status(thm)],[c_654,c_731,c_908]) ).
tcf(c_953,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_10(divide(X0,X1),inverse(divide(X1,X2)),X3) = iPr_def_12(X0,iPr_def_11(divide(inverse(X2),X3))),
inference(demodulation,[status(thm)],[c_882,c_915]) ).
tcf(c_954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_10(divide(X0,X1),inverse(divide(X1,X2)),X3) = iPr_def_12(X0,divide(X3,inverse(X2))),
inference(demodulation,[status(thm)],[c_953,c_327]) ).
tcf(c_957,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(iPr_def_10(divide(X0,iPr_def_12(X1,X2)),inverse(X1),X2)) = iPr_def_11(X0),
inference(demodulation,[status(thm)],[c_875,c_908,c_920]) ).
tcf(c_960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(divide(inverse(X0),X1),iPr_def_10(X2,inverse(divide(X3,X0)),X1)) = iPr_def_11(iPr_def_12(X2,iPr_def_11(X3))),
inference(demodulation,[status(thm)],[c_864,c_908]) ).
tcf(c_985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(iPr_def_10(X0,X1,X2),iPr_def_12(X3,iPr_def_11(iPr_def_10(X0,X1,X2)))) = iPr_def_11(X3),
inference(demodulation,[status(thm)],[c_693,c_731,c_901,c_932]) ).
tcf(c_988,plain,
! [X0: $i,X1: $i,X2: $i] : divide(iPr_def_11(iPr_def_10(iPr_def_12(X0,iPr_def_11(X1)),X1,X2)),iPr_def_11(X0)) = X2,
inference(demodulation,[status(thm)],[c_682,c_731,c_908]) ).
tcf(c_1003,plain,
! [X0: $i,X1: $i] : iPr_def_11(iPr_def_12(iPr_def_11(X0),iPr_def_11(iPr_def_12(X0,X1)))) = X1,
inference(demodulation,[status(thm)],[c_863,c_901,c_908,c_960]) ).
tcf(c_1022,plain,
! [X0: $i,X1: $i] : divide(iPr_def_12(X0,X1),iPr_def_11(X1)) = X0,
inference(demodulation,[status(thm)],[c_763,c_908,c_932,c_985]) ).
tcf(c_1035,plain,
! [X0: $i,X1: $i] : divide(iPr_def_11(X0),iPr_def_12(X1,X0)) = iPr_def_11(X1),
inference(demodulation,[status(thm)],[c_833,c_908,c_932,c_985]) ).
tcf(c_1040,plain,
! [X0: $i,X1: $i] : divide(iPr_def_12(X0,iPr_def_11(X1)),X1) = X0,
inference(demodulation,[status(thm)],[c_888,c_905,c_908]) ).
tcf(c_1050,plain,
! [X0: $i,X1: $i] : divide(X0,iPr_def_12(X1,iPr_def_11(X0))) = iPr_def_11(X1),
inference(demodulation,[status(thm)],[c_828,c_908,c_932,c_1040]) ).
tcf(c_1061,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(iPr_def_12(iPr_def_11(X0),iPr_def_10(X1,X2,X0))) = iPr_def_11(divide(X2,X1)),
inference(demodulation,[status(thm)],[c_859,c_731,c_901,c_960]) ).
tcf(c_1062,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(iPr_def_12(iPr_def_11(X0),iPr_def_10(X1,X2,X0))) = divide(X1,X2),
inference(demodulation,[status(thm)],[c_1061,c_327]) ).
tcf(c_2059,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(iPr_def_12(X0,iPr_def_11(iPr_def_12(iPr_def_12(iPr_def_11(X1),iPr_def_11(iPr_def_12(X1,X0))),X2)))) = X2,
inference(superposition,[status(thm)],[c_1003,c_1003]) ).
tcf(c_2062,plain,
! [X0: $i,X1: $i] : iPr_def_12(iPr_def_11(X0),iPr_def_11(iPr_def_12(X0,X1))) = iPr_def_11(X1),
inference(superposition,[status(thm)],[c_1003,c_901]) ).
tcf(c_2078,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(iPr_def_10(X0,iPr_def_12(X1,iPr_def_11(X0)),X2)) = iPr_def_12(X2,iPr_def_11(X1)),
inference(superposition,[status(thm)],[c_1050,c_938]) ).
tcf(c_2079,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(iPr_def_10(iPr_def_12(X0,iPr_def_11(X1)),X1,X2)) = iPr_def_12(X2,X0),
inference(superposition,[status(thm)],[c_1040,c_938]) ).
tcf(c_2086,plain,
! [X0: $i,X1: $i,X2: $i] : divide(inverse(X0),divide(X1,iPr_def_12(X0,X2))) = iPr_def_12(iPr_def_11(X2),X1),
inference(superposition,[status(thm)],[c_1022,c_908]) ).
tcf(c_2096,plain,
! [X0: $i,X1: $i,X2: $i] : divide(inverse(divide(X0,X1)),X2) = iPr_def_12(X1,iPr_def_12(X2,iPr_def_11(X0))),
inference(superposition,[status(thm)],[c_1040,c_908]) ).
tcf(c_2100,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,X1),inverse(divide(X1,X2))) = iPr_def_11(iPr_def_12(X2,X0)),
inference(superposition,[status(thm)],[c_908,c_327]) ).
tcf(c_2109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : iPr_def_10(iPr_def_11(iPr_def_10(X0,iPr_def_12(X1,iPr_def_11(X0)),X2)),X1,X3) = divide(divide(X2,X4),inverse(divide(X4,X3))),
inference(superposition,[status(thm)],[c_948,c_244]) ).
tcf(c_2115,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(iPr_def_12(X0,iPr_def_10(X1,X2,iPr_def_11(X0)))) = divide(X1,X2),
inference(superposition,[status(thm)],[c_901,c_1062]) ).
tcf(c_2122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_11(iPr_def_12(divide(X0,X1),iPr_def_11(iPr_def_12(iPr_def_12(iPr_def_11(X2),iPr_def_10(X0,X1,X2)),X3)))) = X3,
inference(superposition,[status(thm)],[c_1062,c_1003]) ).
tcf(c_2125,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_12(iPr_def_11(X0),iPr_def_10(X1,X2,X0)) = iPr_def_11(divide(X1,X2)),
inference(superposition,[status(thm)],[c_1062,c_901]) ).
tcf(c_2197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(inverse(X0),divide(iPr_def_11(iPr_def_12(X1,X2)),iPr_def_12(X0,X3))) = divide(divide(inverse(X3),iPr_def_11(X1)),X2),
inference(superposition,[status(thm)],[c_917,c_914]) ).
tcf(c_2202,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(iPr_def_12(X0,iPr_def_11(iPr_def_12(X1,X2)))) = iPr_def_11(iPr_def_10(X0,inverse(X1),X2)),
inference(superposition,[status(thm)],[c_1040,c_957]) ).
tcf(c_2207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(divide(inverse(divide(iPr_def_12(iPr_def_10(divide(X0,iPr_def_12(X1,X2)),inverse(X1),X2),X3),X4)),iPr_def_11(X0)),X3) = X4,
inference(superposition,[status(thm)],[c_957,c_914]) ).
tcf(c_2214,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_10(divide(X0,iPr_def_12(X1,X2)),inverse(X1),X2) = iPr_def_11(iPr_def_11(X0)),
inference(superposition,[status(thm)],[c_957,c_901]) ).
tcf(c_2280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : iPr_def_10(iPr_def_11(iPr_def_10(iPr_def_12(X0,iPr_def_11(X1)),X1,X2)),iPr_def_11(X0),X3) = divide(divide(X2,X4),inverse(divide(X4,X3))),
inference(superposition,[status(thm)],[c_988,c_244]) ).
tcf(c_2315,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_12(iPr_def_11(X0),iPr_def_10(X1,X2,X0)) = divide(X2,X1),
inference(demodulation,[status(thm)],[c_2125,c_327]) ).
tcf(c_2318,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_10(divide(X0,iPr_def_12(X1,X2)),inverse(X1),X2) = X0,
inference(demodulation,[status(thm)],[c_2214,c_901]) ).
tcf(c_2337,plain,
! [X0: $i,X1: $i] : iPr_def_11(iPr_def_10(X0,inverse(iPr_def_11(X0)),X1)) = X1,
inference(demodulation,[status(thm)],[c_2059,c_2062,c_2202]) ).
tcf(c_2365,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(iPr_def_10(divide(X0,X1),inverse(divide(X1,X0)),X2)) = X2,
inference(demodulation,[status(thm)],[c_2122,c_2202,c_2315]) ).
tcf(c_2366,plain,
! [X0: $i,X1: $i] : iPr_def_10(X0,inverse(X1),X1) = X0,
inference(demodulation,[status(thm)],[c_2365,c_901,c_938,c_954]) ).
tcf(c_2405,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(inverse(X0),iPr_def_11(X1)),X2) = iPr_def_12(iPr_def_11(X0),iPr_def_11(iPr_def_12(X1,X2))),
inference(demodulation,[status(thm)],[c_2197,c_2086]) ).
tcf(c_2423,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_10(iPr_def_12(X0,iPr_def_11(X1)),X1,X2) = iPr_def_11(iPr_def_12(X2,X0)),
inference(demodulation,[status(thm)],[c_2109,c_2078,c_2100]) ).
tcf(c_2428,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_10(iPr_def_12(X0,X1),iPr_def_11(X1),X2) = iPr_def_11(iPr_def_12(X2,X0)),
inference(demodulation,[status(thm)],[c_2280,c_2079,c_2100]) ).
tcf(c_2442,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_12(iPr_def_11(divide(iPr_def_12(X0,X1),X2)),iPr_def_11(iPr_def_12(X0,X1))) = X2,
inference(demodulation,[status(thm)],[c_2207,c_2318,c_2405]) ).
tcf(c_2443,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_12(divide(X0,iPr_def_12(X1,X2)),iPr_def_11(iPr_def_12(X1,X2))) = X0,
inference(demodulation,[status(thm)],[c_2442,c_327]) ).
tcf(c_2464,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_12(X0,iPr_def_12(divide(X1,X2),iPr_def_11(X2))) = iPr_def_12(X0,X1),
inference(demodulation,[status(thm)],[c_908,c_2096]) ).
tcf(c_2600,plain,
! [X0: $i,X1: $i] : iPr_def_10(X0,inverse(iPr_def_11(X0)),X1) = iPr_def_11(X1),
inference(superposition,[status(thm)],[c_2337,c_901]) ).
tcf(c_2615,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_12(X0,iPr_def_10(X1,X2,iPr_def_11(X0))) = divide(X2,X1),
inference(superposition,[status(thm)],[c_901,c_2315]) ).
tcf(c_2618,plain,
! [X0: $i,X1: $i] : divide(inverse(X0),X1) = iPr_def_12(iPr_def_11(X0),X1),
inference(superposition,[status(thm)],[c_2366,c_2315]) ).
tcf(c_2623,plain,
! [X0: $i,X1: $i] : iPr_def_10(iPr_def_11(X0),inverse(X0),X1) = iPr_def_11(X1),
inference(superposition,[status(thm)],[c_1035,c_2318]) ).
tcf(c_2645,plain,
! [X0: $i,X1: $i] : divide(X0,inverse(iPr_def_11(X1))) = iPr_def_11(iPr_def_12(X1,X0)),
inference(superposition,[status(thm)],[c_2366,c_2115]) ).
tcf(c_2707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_12(divide(X0,iPr_def_12(X1,iPr_def_10(X2,X3,iPr_def_11(X1)))),divide(X2,X3)) = X0,
inference(superposition,[status(thm)],[c_2115,c_2443]) ).
tcf(c_2711,plain,
! [X0: $i,X1: $i] : iPr_def_12(divide(X0,X1),iPr_def_11(X1)) = X0,
inference(superposition,[status(thm)],[c_2443,c_2443]) ).
tcf(c_2771,plain,
! [X0: $i,X1: $i] : divide(inverse(X0),iPr_def_11(X0)) = iPr_def_12(iPr_def_11(iPr_def_11(X1)),X1),
inference(superposition,[status(thm)],[c_1050,c_2086]) ).
tcf(c_2795,plain,
! [X0: $i,X1: $i] : iPr_def_12(iPr_def_11(iPr_def_11(X0)),X0) = iPr_def_12(iPr_def_11(X1),iPr_def_11(X1)),
inference(demodulation,[status(thm)],[c_2771,c_2618]) ).
tcf(c_2796,plain,
! [X0: $i,X1: $i] : iPr_def_12(iPr_def_11(X0),iPr_def_11(X0)) = iPr_def_12(X1,X1),
inference(demodulation,[status(thm)],[c_2795,c_901]) ).
tcf(c_2828,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_12(divide(X0,divide(X1,X2)),divide(X2,X1)) = X0,
inference(demodulation,[status(thm)],[c_2707,c_2615]) ).
tcf(c_2829,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(iPr_def_10(X0,X1,divide(X2,divide(X1,X0)))) = X2,
inference(demodulation,[status(thm)],[c_2828,c_938]) ).
tcf(c_2995,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_12(iPr_def_11(divide(X0,X1)),X2) = iPr_def_12(X1,iPr_def_12(X2,iPr_def_11(X0))),
inference(demodulation,[status(thm)],[c_2096,c_2618]) ).
tcf(c_2996,plain,
divide(inverse(b1),inverse(b1)) != iPr_def_12(iPr_def_11(a1),inverse(a1)),
inference(demodulation,[status(thm)],[c_53,c_2618]) ).
tcf(c_2997,plain,
iPr_def_12(iPr_def_11(a1),inverse(a1)) != iPr_def_12(iPr_def_11(b1),inverse(b1)),
inference(demodulation,[status(thm)],[c_2996,c_2618]) ).
tcf(c_2998,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_12(X0,iPr_def_12(X1,iPr_def_11(X2))) = iPr_def_12(divide(X0,X2),X1),
inference(demodulation,[status(thm)],[c_2995,c_327]) ).
tcf(c_2999,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_12(divide(X0,X1),divide(X2,X1)) = iPr_def_12(X0,X2),
inference(demodulation,[status(thm)],[c_2464,c_2998]) ).
tcf(c_3000,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(iPr_def_10(X0,X1,divide(X2,X1))) = iPr_def_12(X2,X0),
inference(demodulation,[status(thm)],[c_2999,c_938]) ).
tcf(c_3151,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_10(X0,iPr_def_11(iPr_def_11(X1)),X2) = iPr_def_11(iPr_def_12(X2,divide(X0,X1))),
inference(superposition,[status(thm)],[c_2711,c_2428]) ).
tcf(c_3227,plain,
! [X0: $i,X1: $i] : iPr_def_11(iPr_def_12(iPr_def_11(X0),X1)) = divide(X1,inverse(X0)),
inference(superposition,[status(thm)],[c_901,c_2645]) ).
tcf(c_3257,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_12(X0,iPr_def_11(iPr_def_12(iPr_def_11(X0),X1))) = divide(X2,iPr_def_12(X1,iPr_def_11(X2))),
inference(superposition,[status(thm)],[c_2423,c_2615]) ).
tcf(c_3297,plain,
! [X0: $i,X1: $i] : iPr_def_12(X0,X0) = iPr_def_12(X1,X1),
inference(superposition,[status(thm)],[c_2829,c_2796]) ).
tcf(c_3335,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(iPr_def_11(iPr_def_12(divide(X0,X1),X2))) = iPr_def_12(X0,iPr_def_12(X2,iPr_def_11(X1))),
inference(superposition,[status(thm)],[c_2423,c_3000]) ).
tcf(c_3336,plain,
! [X0: $i,X1: $i] : iPr_def_11(iPr_def_11(divide(X0,inverse(X1)))) = iPr_def_12(X0,iPr_def_11(X1)),
inference(superposition,[status(thm)],[c_2623,c_3000]) ).
tcf(c_3337,plain,
! [X0: $i,X1: $i] : iPr_def_11(iPr_def_11(divide(X0,inverse(iPr_def_11(X1))))) = iPr_def_12(X0,X1),
inference(superposition,[status(thm)],[c_2600,c_3000]) ).
tcf(c_3368,plain,
! [X0: $i,X1: $i] : iPr_def_11(iPr_def_12(X0,X1)) = iPr_def_12(X1,X0),
inference(demodulation,[status(thm)],[c_3337,c_901,c_2645]) ).
tcf(c_3369,plain,
! [X0: $i,X1: $i] : divide(X0,inverse(X1)) = iPr_def_12(X0,iPr_def_11(X1)),
inference(demodulation,[status(thm)],[c_3336,c_901]) ).
tcf(c_3414,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_10(X0,iPr_def_11(iPr_def_11(X1)),X2) = iPr_def_12(divide(X0,X1),X2),
inference(demodulation,[status(thm)],[c_3151,c_3368]) ).
tcf(c_3415,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_12(divide(X0,X1),X2) = iPr_def_10(X0,X1,X2),
inference(demodulation,[status(thm)],[c_3414,c_901]) ).
tcf(c_3425,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_12(X0,iPr_def_12(X1,iPr_def_11(X2))) = iPr_def_10(X0,X2,X1),
inference(demodulation,[status(thm)],[c_3335,c_3368,c_3415]) ).
tcf(c_3435,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,iPr_def_12(X1,iPr_def_11(X0))) = iPr_def_10(X2,X2,X1),
inference(demodulation,[status(thm)],[c_3257,c_3227,c_3369,c_3425]) ).
tcf(c_3436,plain,
! [X0: $i,X1: $i] : iPr_def_10(X0,X0,X1) = iPr_def_11(X1),
inference(demodulation,[status(thm)],[c_3435,c_1050]) ).
tcf(c_4269,plain,
! [X0: $i] : inverse(X0) = iPr_def_11(X0),
inference(superposition,[status(thm)],[c_3436,c_2366]) ).
tcf(c_4451,plain,
iPr_def_12(iPr_def_11(a1),iPr_def_11(a1)) != iPr_def_12(iPr_def_11(b1),inverse(b1)),
inference(demodulation,[status(thm)],[c_2997,c_4269]) ).
tcf(c_4452,plain,
iPr_def_12(iPr_def_11(a1),iPr_def_11(a1)) != iPr_def_12(iPr_def_11(b1),iPr_def_11(b1)),
inference(demodulation,[status(thm)],[c_4451,c_4269]) ).
tcf(c_4453,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4452,c_3297]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP472-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n003.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 14:52:49 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running UEQ theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 4.09/1.20 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 4.09/1.20 % SZS status Started for theBenchmark.p
% 4.09/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 4.09/1.20
% 4.09/1.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.09/1.20
% 4.09/1.20 % ------ iProver source info
% 4.09/1.20
% 4.09/1.20 % git: date: 2026-07-19 20:42:38 +0200
% 4.09/1.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.09/1.20 % git: non_committed_changes: false
% 4.09/1.20
% 4.09/1.20 % ------ Parsing...% successful
% 4.09/1.20
% 4.09/1.20
% 4.09/1.20 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.09/1.20 % ------ Proving...
% 4.09/1.20 % ------ Problem Properties
% 4.09/1.20
% 4.09/1.20 %
% 4.09/1.20 % clauses 2
% 4.09/1.20 % conjectures 1
% 4.09/1.20 % EPR 0
% 4.09/1.20 % Horn 2
% 4.09/1.20 % unary 2
% 4.09/1.20 % binary 0
% 4.09/1.20 % lits 2
% 4.09/1.20 % lits eq 2
% 4.09/1.20 % fd_pure 0
% 4.09/1.20 % fd_pseudo 0
% 4.09/1.20 % fd_cond 0
% 4.09/1.20 % fd_pseudo_cond 0
% 4.09/1.20 % AC symbols 0
% 4.09/1.20
% 4.09/1.20 % ------ Input Options Time Limit: Unbounded
% 4.09/1.20
% 4.09/1.20
% 4.09/1.20 % ------
% 4.09/1.20 % Current options:
% 4.09/1.20 % ------
% 4.09/1.20
% 4.09/1.20
% 4.09/1.20 %
% 4.09/1.20
% 4.09/1.20 % ------ Proving...
% 4.09/1.20 %
% 4.09/1.20
% 4.09/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 4.09/1.20
% 4.09/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.09/1.20
% 4.09/1.20
%------------------------------------------------------------------------------