%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP475-1 : 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 01:34:21 PM UTC 2026
% Result : Unsatisfiable 3.07s 0.98s
% Output : CNFRefutation 3.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 3
% Syntax : Number of formulae : 90 ( 90 unt; 0 def)
% Number of atoms : 286 ( 89 equ)
% Maximal formula atoms : 1 ( 3 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 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 : 8 ( 6 usr; 2 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 377 ( 0 sgn 377 !; 0 ?; 371 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(divide(X0,X1),X2),divide(X3,X2))),divide(X1,X0)) = X3,
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(inverse(divide(divide(divide(X0,X1),X2),divide(X3,X2))),divide(X1,X0)) = X3,
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_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : divide(inverse(divide(divide(X0,X1),divide(X2,X1))),divide(divide(X3,X4),inverse(divide(divide(divide(X4,X3),X5),divide(X0,X5))))) = X2,
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : divide(inverse(divide(divide(divide(X0,X1),divide(X2,X3)),X4)),divide(X1,X0)) = inverse(divide(divide(divide(X3,X2),X5),divide(X4,X5))),
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(inverse(divide(divide(divide(divide(X0,X1),inverse(divide(divide(divide(X1,X0),X2),divide(X3,X2)))),X4),divide(X5,X4))),X3) = X5,
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(divide(divide(divide(X0,X1),X2),divide(X3,X2))) = iPr_def_10(X0,X1,X3),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_63]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(inverse(divide(divide(divide(X0,X1),divide(X2,X3)),X4)),divide(X1,X0)) = iPr_def_10(X3,X2,X4),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_63]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(inverse(divide(divide(X0,X1),divide(X2,X1))),divide(divide(X3,X4),iPr_def_10(X4,X3,X0))) = X2,
inference(demodulation,[status(thm)],[c_62,c_65]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] : divide(iPr_def_10(X0,X1,X2),divide(X1,X0)) = X2,
inference(demodulation,[status(thm)],[c_52,c_65]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : inverse(divide(divide(divide(X0,X1),divide(X2,X3)),X4)) = iPr_def_10(X0,X1,iPr_def_10(X3,X2,X4)),
inference(superposition,[status(thm)],[c_68,c_65]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(iPr_def_10(X0,X1,X2),divide(X1,X0)) = iPr_def_10(X3,X4,divide(X2,divide(X4,X3))),
inference(superposition,[status(thm)],[c_65,c_66]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : divide(inverse(divide(divide(divide(X0,X1),X2),X3)),divide(X1,X0)) = iPr_def_10(divide(X4,X5),iPr_def_10(X5,X4,X2),X3),
inference(superposition,[status(thm)],[c_68,c_66]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(iPr_def_10(X0,X1,X2),divide(divide(X3,X4),iPr_def_10(X4,X3,divide(X0,X1)))) = X2,
inference(superposition,[status(thm)],[c_65,c_67]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] : divide(inverse(divide(divide(divide(divide(X0,X1),inverse(divide(divide(divide(X1,X0),X2),divide(X3,X2)))),divide(divide(X4,X5),iPr_def_10(X5,X4,X6))),X7)),X3) = inverse(divide(divide(X6,X8),divide(X7,X8))),
inference(superposition,[status(thm)],[c_67,c_64]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : divide(inverse(divide(divide(divide(divide(X0,X1),inverse(divide(divide(divide(X1,X0),X2),divide(X3,X2)))),divide(X4,X5)),X6)),X3) = iPr_def_10(X5,X4,X6),
inference(superposition,[status(thm)],[c_68,c_64]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : iPr_def_10(X0,X1,inverse(divide(divide(divide(divide(X2,X3),inverse(divide(divide(divide(X3,X2),X4),divide(X5,X4)))),X6),divide(X7,X6)))) = inverse(divide(divide(divide(X0,X1),X5),X7)),
inference(superposition,[status(thm)],[c_64,c_65]) ).
tcf(c_152,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_10(X0,X1,divide(X2,divide(X1,X0))) = X2,
inference(demodulation,[status(thm)],[c_89,c_68]) ).
tcf(c_158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : divide(iPr_def_10(divide(X0,X1),inverse(divide(divide(divide(X1,X0),X2),divide(X3,X2))),iPr_def_10(X4,X5,X6)),X3) = iPr_def_10(X4,X5,X6),
inference(demodulation,[status(thm)],[c_138,c_88]) ).
tcf(c_159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : divide(iPr_def_10(divide(X0,X1),iPr_def_10(X1,X0,X2),iPr_def_10(X3,X4,X5)),X2) = iPr_def_10(X3,X4,X5),
inference(demodulation,[status(thm)],[c_158,c_65]) ).
tcf(c_168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : iPr_def_10(X0,X1,iPr_def_10(divide(X2,X3),iPr_def_10(X3,X2,X4),X5)) = inverse(divide(divide(divide(X0,X1),X4),X5)),
inference(demodulation,[status(thm)],[c_144,c_65]) ).
tcf(c_177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] : divide(iPr_def_10(divide(X0,X1),inverse(divide(divide(divide(X1,X0),X2),divide(X3,X2))),iPr_def_10(iPr_def_10(X4,X5,X6),divide(X5,X4),X7)),X3) = inverse(divide(divide(X6,X8),divide(X7,X8))),
inference(demodulation,[status(thm)],[c_137,c_88]) ).
tcf(c_178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : divide(iPr_def_10(divide(X0,X1),iPr_def_10(X1,X0,X2),iPr_def_10(iPr_def_10(X3,X4,X5),divide(X4,X3),X6)),X2) = inverse(divide(divide(X5,X7),divide(X6,X7))),
inference(demodulation,[status(thm)],[c_177,c_65]) ).
tcf(c_179,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(divide(divide(X0,X1),divide(X2,X1))) = iPr_def_11(X0,X2),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_178]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : divide(iPr_def_10(divide(X0,X1),iPr_def_10(X1,X0,X2),iPr_def_10(iPr_def_10(X3,X4,X5),divide(X4,X3),X6)),X2) = iPr_def_11(X5,X6),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_178]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_10(iPr_def_10(X0,X1,X2),divide(X1,X0),X3) = iPr_def_11(X2,X3),
inference(demodulation,[status(thm)],[c_180,c_159]) ).
tcf(c_195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(iPr_def_11(X0,X1),divide(divide(X2,X3),iPr_def_10(X3,X2,X0))) = X1,
inference(demodulation,[status(thm)],[c_67,c_179]) ).
tcf(c_244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_10(divide(X0,X1),iPr_def_10(X1,X0,X2),divide(X3,X2)) = X3,
inference(superposition,[status(thm)],[c_68,c_152]) ).
tcf(c_414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(X0,divide(divide(X1,X2),iPr_def_10(X2,X1,divide(X3,X4)))) = divide(X0,divide(X4,X3)),
inference(superposition,[status(thm)],[c_152,c_102]) ).
tcf(c_463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : divide(inverse(divide(divide(divide(X0,X1),X2),X3)),divide(divide(X4,X5),iPr_def_10(X5,X4,divide(X0,X1)))) = iPr_def_10(divide(X6,X7),iPr_def_10(X7,X6,X2),X3),
inference(superposition,[status(thm)],[c_168,c_102]) ).
tcf(c_569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : divide(divide(inverse(divide(divide(divide(X0,X1),X2),X3)),divide(X1,X0)),divide(divide(X4,X5),iPr_def_10(X5,X4,divide(divide(X6,X7),iPr_def_10(X7,X6,X2))))) = X3,
inference(superposition,[status(thm)],[c_93,c_102]) ).
tcf(c_570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : iPr_def_10(divide(inverse(divide(divide(divide(X0,X1),X2),X3)),divide(X1,X0)),divide(iPr_def_10(X4,X5,X2),divide(X5,X4)),X6) = iPr_def_11(X3,X6),
inference(superposition,[status(thm)],[c_93,c_181]) ).
tcf(c_578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : divide(inverse(divide(divide(divide(X0,X1),X2),X3)),divide(X1,X0)) = divide(inverse(divide(divide(divide(X4,X5),X2),X3)),divide(X5,X4)),
inference(superposition,[status(thm)],[c_93,c_93]) ).
tcf(c_579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : divide(iPr_def_10(X0,X1,X2),divide(divide(iPr_def_10(X3,X4,X5),divide(X4,X3)),divide(inverse(divide(divide(divide(X6,X7),X5),divide(X0,X1))),divide(X7,X6)))) = X2,
inference(superposition,[status(thm)],[c_93,c_102]) ).
tcf(c_580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : divide(iPr_def_11(X0,X1),divide(divide(iPr_def_10(X2,X3,X4),divide(X3,X2)),divide(inverse(divide(divide(divide(X5,X6),X4),X0)),divide(X6,X5)))) = X1,
inference(superposition,[status(thm)],[c_93,c_195]) ).
tcf(c_668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(inverse(divide(divide(divide(X0,X1),X2),X3)),divide(X1,X0)) = iPr_def_12(X2,X3),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_578]) ).
tcf(c_679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : iPr_def_10(iPr_def_12(X0,X1),divide(iPr_def_10(X2,X3,X0),divide(X3,X2)),X4) = iPr_def_11(X1,X4),
inference(demodulation,[status(thm)],[c_570,c_668]) ).
tcf(c_680,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_10(iPr_def_12(X0,X1),X0,X2) = iPr_def_11(X1,X2),
inference(demodulation,[status(thm)],[c_679,c_68]) ).
tcf(c_689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(iPr_def_11(X0,X1),divide(divide(iPr_def_10(X2,X3,X4),divide(X3,X2)),iPr_def_12(X4,X0))) = X1,
inference(demodulation,[status(thm)],[c_580,c_668]) ).
tcf(c_690,plain,
! [X0: $i,X1: $i,X2: $i] : divide(iPr_def_11(X0,X1),divide(X2,iPr_def_12(X2,X0))) = X1,
inference(demodulation,[status(thm)],[c_689,c_68]) ).
tcf(c_710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_10(divide(X0,X1),iPr_def_10(X1,X0,X2),X3) = iPr_def_12(X2,X3),
inference(demodulation,[status(thm)],[c_463,c_414,c_668]) ).
tcf(c_712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : divide(iPr_def_10(X0,X1,X2),divide(divide(iPr_def_10(X3,X4,X5),divide(X4,X3)),iPr_def_12(X5,divide(X0,X1)))) = X2,
inference(demodulation,[status(thm)],[c_579,c_668]) ).
tcf(c_713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(iPr_def_10(X0,X1,X2),divide(X3,iPr_def_12(X3,divide(X0,X1)))) = X2,
inference(demodulation,[status(thm)],[c_712,c_68]) ).
tcf(c_714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(iPr_def_12(X0,X1),divide(iPr_def_10(X2,X3,X0),divide(X3,X2))) = X1,
inference(demodulation,[status(thm)],[c_569,c_414,c_668]) ).
tcf(c_715,plain,
! [X0: $i,X1: $i] : divide(iPr_def_12(X0,X1),X0) = X1,
inference(demodulation,[status(thm)],[c_714,c_68]) ).
tcf(c_1736,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(divide(X0,divide(X1,X2))) = iPr_def_11(iPr_def_12(X2,X0),X1),
inference(superposition,[status(thm)],[c_715,c_179]) ).
tcf(c_1741,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(divide(divide(X0,X1),X2)) = iPr_def_11(X0,iPr_def_12(X1,X2)),
inference(superposition,[status(thm)],[c_715,c_179]) ).
tcf(c_1743,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_12(divide(X0,X1),X2) = iPr_def_10(X1,X0,X2),
inference(superposition,[status(thm)],[c_715,c_152]) ).
tcf(c_1747,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(X0,divide(X1,divide(X2,iPr_def_12(X2,X0)))) = X1,
inference(superposition,[status(thm)],[c_680,c_152]) ).
tcf(c_1748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(iPr_def_11(X0,X1),divide(divide(X2,iPr_def_12(X2,X3)),iPr_def_11(X3,X0))) = X1,
inference(superposition,[status(thm)],[c_680,c_195]) ).
tcf(c_1780,plain,
! [X0: $i,X1: $i] : iPr_def_12(X0,divide(X1,X0)) = X1,
inference(demodulation,[status(thm)],[c_244,c_710]) ).
tcf(c_1834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(X0,divide(X1,iPr_def_12(X1,X2))) = divide(X0,divide(X3,iPr_def_12(X3,X2))),
inference(superposition,[status(thm)],[c_1747,c_690]) ).
tcf(c_1837,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(iPr_def_12(X0,iPr_def_10(X0,X1,X2)),X1) = inverse(X2),
inference(superposition,[status(thm)],[c_68,c_1736]) ).
tcf(c_1839,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(iPr_def_12(iPr_def_12(X0,X1),iPr_def_11(X1,X2)),X0) = inverse(X2),
inference(superposition,[status(thm)],[c_690,c_1736]) ).
tcf(c_1848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_11(iPr_def_11(X0,X1),iPr_def_12(divide(X2,iPr_def_12(X2,X0)),X3)) = inverse(divide(X1,X3)),
inference(superposition,[status(thm)],[c_690,c_1741]) ).
tcf(c_1873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(iPr_def_10(iPr_def_10(X0,X1,X2),divide(X1,X0),X3),divide(X4,iPr_def_12(X4,X2))) = X3,
inference(superposition,[status(thm)],[c_68,c_713]) ).
tcf(c_1940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_11(iPr_def_12(iPr_def_11(X0,X1),iPr_def_11(X1,X2)),divide(X3,iPr_def_12(X3,X0))) = inverse(X2),
inference(superposition,[status(thm)],[c_1748,c_1736]) ).
tcf(c_2059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(X0,divide(divide(X1,X2),iPr_def_10(X2,X1,X3))) = divide(X0,divide(X4,iPr_def_12(X4,X3))),
inference(superposition,[status(thm)],[c_715,c_414]) ).
tcf(c_2064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : iPr_def_10(divide(divide(X0,X1),iPr_def_10(X1,X0,divide(X2,X3))),X4,X5) = iPr_def_12(divide(X4,divide(X3,X2)),X5),
inference(superposition,[status(thm)],[c_414,c_1743]) ).
tcf(c_2079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : divide(X0,divide(divide(X1,divide(X2,X3)),iPr_def_10(divide(divide(X4,X5),iPr_def_10(X5,X4,divide(X3,X2))),X1,divide(X6,X7)))) = divide(X0,divide(X7,X6)),
inference(superposition,[status(thm)],[c_414,c_414]) ).
tcf(c_2088,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(X1,iPr_def_12(X1,X2))) = iPr_def_13(X0,X2),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_1834]) ).
tcf(c_2090,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(iPr_def_11(X0,X1),iPr_def_11(X0,X2)) = inverse(divide(X1,X2)),
inference(demodulation,[status(thm)],[c_1848,c_680,c_1743]) ).
tcf(c_2094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_13(iPr_def_10(iPr_def_10(X0,X1,X2),divide(X1,X0),X3),X2) = X3,
inference(demodulation,[status(thm)],[c_1873,c_2088]) ).
tcf(c_2095,plain,
! [X0: $i,X1: $i] : iPr_def_13(iPr_def_11(X0,X1),X0) = X1,
inference(demodulation,[status(thm)],[c_2094,c_181]) ).
tcf(c_2096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(X0,divide(divide(X1,X2),iPr_def_10(X2,X1,X3))) = iPr_def_13(X0,X3),
inference(demodulation,[status(thm)],[c_2059,c_2088]) ).
tcf(c_2123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : iPr_def_10(divide(divide(X0,X1),iPr_def_10(X1,X0,divide(X2,X3))),X4,X5) = iPr_def_10(divide(X3,X2),X4,X5),
inference(demodulation,[status(thm)],[c_2064,c_1743]) ).
tcf(c_2145,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(X1,X2)) = iPr_def_13(X0,divide(X2,X1)),
inference(demodulation,[status(thm)],[c_2079,c_2096,c_2123]) ).
tcf(c_2158,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(iPr_def_13(X0,divide(X1,X2))) = iPr_def_11(iPr_def_12(X1,X0),X2),
inference(demodulation,[status(thm)],[c_1736,c_2145]) ).
tcf(c_2297,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_13(inverse(divide(X0,X1)),iPr_def_11(X2,X0)) = iPr_def_11(X2,X1),
inference(superposition,[status(thm)],[c_2090,c_2095]) ).
tcf(c_2302,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(iPr_def_12(iPr_def_12(X0,X1),X2),X0) = inverse(iPr_def_13(X2,X1)),
inference(superposition,[status(thm)],[c_715,c_2158]) ).
tcf(c_2449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : iPr_def_11(iPr_def_12(iPr_def_12(X0,iPr_def_12(iPr_def_11(X1,X2),iPr_def_11(X2,X3))),inverse(X3)),X0) = inverse(divide(X4,iPr_def_12(X4,X1))),
inference(superposition,[status(thm)],[c_1940,c_1839]) ).
tcf(c_2543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(iPr_def_13(inverse(X0),iPr_def_12(iPr_def_11(X1,X2),iPr_def_11(X2,X0)))) = inverse(divide(X3,iPr_def_12(X3,X1))),
inference(demodulation,[status(thm)],[c_2449,c_2302]) ).
tcf(c_2544,plain,
! [X0: $i,X1: $i] : inverse(divide(X0,iPr_def_12(X0,X1))) = iPr_def_14(X1),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_2543]) ).
tcf(c_2667,plain,
! [X0: $i,X1: $i] : inverse(divide(X0,X1)) = iPr_def_14(divide(X1,X0)),
inference(superposition,[status(thm)],[c_1780,c_2544]) ).
tcf(c_2742,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_13(iPr_def_14(X0),iPr_def_11(X1,X2)) = iPr_def_11(X1,iPr_def_12(X2,X0)),
inference(superposition,[status(thm)],[c_2544,c_2297]) ).
tcf(c_2747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_11(iPr_def_12(X0,iPr_def_10(X0,X1,X2)),X3) = iPr_def_13(inverse(divide(X1,X3)),inverse(X2)),
inference(superposition,[status(thm)],[c_1837,c_2297]) ).
tcf(c_2758,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(iPr_def_13(divide(X0,iPr_def_12(X1,X2)),X2)) = iPr_def_11(X0,X1),
inference(superposition,[status(thm)],[c_1780,c_2302]) ).
tcf(c_2960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_11(iPr_def_12(X0,iPr_def_10(X0,X1,X2)),X3) = iPr_def_13(iPr_def_14(divide(X3,X1)),inverse(X2)),
inference(demodulation,[status(thm)],[c_2747,c_2667]) ).
tcf(c_3044,plain,
! [X0: $i,X1: $i] : iPr_def_13(iPr_def_14(divide(X0,X0)),inverse(X1)) = inverse(X1),
inference(demodulation,[status(thm)],[c_1837,c_2960]) ).
tcf(c_3860,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_13(iPr_def_14(divide(X0,X0)),iPr_def_11(X1,X2)) = iPr_def_11(X1,X2),
inference(superposition,[status(thm)],[c_2758,c_3044]) ).
tcf(c_4056,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(X0,iPr_def_12(X1,divide(X2,X2))) = iPr_def_11(X0,X1),
inference(demodulation,[status(thm)],[c_3860,c_2742]) ).
tcf(c_4355,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_12(X0,divide(X1,X1)) = iPr_def_13(iPr_def_11(X2,X0),X2),
inference(superposition,[status(thm)],[c_4056,c_2095]) ).
tcf(c_4491,plain,
! [X0: $i,X1: $i] : iPr_def_12(X0,divide(X1,X1)) = X0,
inference(demodulation,[status(thm)],[c_4355,c_2095]) ).
tcf(c_6481,plain,
! [X0: $i,X1: $i] : divide(X0,X0) = divide(X1,X1),
inference(superposition,[status(thm)],[c_4491,c_715]) ).
tcf(c_6786,plain,
! [X0: $i] : divide(X0,X0) = iPr_def_16,
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_6481]) ).
tcf(c_6965,plain,
divide(inverse(b1),inverse(b1)) != iPr_def_16,
inference(demodulation,[status(thm)],[c_53,c_6786]) ).
tcf(c_6966,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_6965,c_6786]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP475-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Wed Sep 23 14:51:06 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.31 Running UEQ theorem proving
% 0.04/0.32 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
% 0.04/0.32
% 0.04/0.32 % ======== iProver multi-core TPTP/SMT =========
% 0.04/0.32
% 0.04/0.32 % Detected problem language: tptp
% 0.04/0.33 % Proving...
% 3.07/0.98 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 3.07/0.98 % SZS status Started for theBenchmark.p
% 3.07/0.98 % SZS status Unsatisfiable for theBenchmark.p
% 3.07/0.98
% 3.07/0.98 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.07/0.98
% 3.07/0.98 % ------ iProver source info
% 3.07/0.98
% 3.07/0.98 % git: date: 2026-07-19 20:42:38 +0200
% 3.07/0.98 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.07/0.98 % git: non_committed_changes: false
% 3.07/0.98
% 3.07/0.98 % ------ Parsing...% successful
% 3.07/0.98
% 3.07/0.98
% 3.07/0.98 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.07/0.98 % ------ Proving...
% 3.07/0.98 % ------ Problem Properties
% 3.07/0.98
% 3.07/0.98 %
% 3.07/0.98 % clauses 2
% 3.07/0.98 % conjectures 1
% 3.07/0.98 % EPR 0
% 3.07/0.98 % Horn 2
% 3.07/0.98 % unary 2
% 3.07/0.98 % binary 0
% 3.07/0.98 % lits 2
% 3.07/0.98 % lits eq 2
% 3.07/0.98 % fd_pure 0
% 3.07/0.98 % fd_pseudo 0
% 3.07/0.98 % fd_cond 0
% 3.07/0.98 % fd_pseudo_cond 0
% 3.07/0.98 % AC symbols 0
% 3.07/0.98
% 3.07/0.98 % ------ Input Options Time Limit: Unbounded
% 3.07/0.98
% 3.07/0.98
% 3.07/0.98 % ------
% 3.07/0.98 % Current options:
% 3.07/0.98 % ------
% 3.07/0.98
% 3.07/0.98
% 3.07/0.98 %
% 3.07/0.98
% 3.07/0.98 % ------ Proving...
% 3.07/0.98 %
% 3.07/0.98
% 3.07/0.98 % SZS status Unsatisfiable for theBenchmark.p
% 3.07/0.98
% 3.07/0.98 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.07/0.98
% 3.07/0.98
%------------------------------------------------------------------------------