%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT393-1 : TPTP v9.3.1. Released v5.4.0.
% 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 01:59:47 PM UTC 2026
% Result : Unsatisfiable 181.06s 26.47s
% Output : CNFRefutation 181.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 8
% Syntax : Number of formulae : 171 ( 171 unt; 6 def)
% Number of atoms : 726 ( 170 equ)
% Maximal formula atoms : 1 ( 4 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 7 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 196 ( 0 sgn 196 !; 0 ?; 192 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(X1,f(f(X0,X0),X0)),X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
fof(f6,negated_conjecture,
f(x0,f(f(x1,x2),f(x1,x2))) != f(x1,f(f(x0,x2),f(x0,x2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(X1,f(f(X0,X0),X0)),X2))) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_55,negated_conjecture,
f(x0,f(f(x1,x2),f(x1,x2))) != f(x1,f(f(x0,x2),f(x0,x2))),
inference(cnf_transformation,[],[f6]) ).
tcf(c_64,definition,
iPr_def_10 = f(x1,x2),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_65,definition,
iPr_def_11 = f(iPr_def_10,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_66,definition,
iPr_def_12 = f(x0,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_67,definition,
iPr_def_13 = f(x0,x2),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_68,definition,
iPr_def_14 = f(iPr_def_13,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_69,definition,
iPr_def_15 = f(x1,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_70,negated_conjecture,
iPr_def_12 != iPr_def_15,
inference(demodulation,[status(thm)],[c_55,c_67,c_68,c_69,c_64,c_65,c_66]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(X1,f(f(X0,X0),X0)),X2))) = X1,
inference(demodulation,[status(thm)],[c_54]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i] : f(f(f(iPr_def_10,f(x2,X0)),X1),f(x2,f(f(x2,f(f(x1,x1),x1)),X0))) = x2,
inference(superposition,[status(thm)],[c_64,c_71]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i] : f(f(f(iPr_def_13,f(x2,X0)),X1),f(x2,f(f(x2,f(f(x0,x0),x0)),X0))) = x2,
inference(superposition,[status(thm)],[c_67,c_71]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i] : f(f(f(iPr_def_11,f(iPr_def_10,X0)),X1),f(iPr_def_10,f(f(iPr_def_10,f(iPr_def_11,iPr_def_10)),X0))) = iPr_def_10,
inference(superposition,[status(thm)],[c_65,c_71]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i] : f(f(f(iPr_def_12,f(iPr_def_11,X0)),X1),f(iPr_def_11,f(f(iPr_def_11,f(f(x0,x0),x0)),X0))) = iPr_def_11,
inference(superposition,[status(thm)],[c_66,c_71]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i] : f(f(f(iPr_def_14,f(iPr_def_13,X0)),X1),f(iPr_def_13,f(f(iPr_def_13,f(iPr_def_14,iPr_def_13)),X0))) = iPr_def_13,
inference(superposition,[status(thm)],[c_68,c_71]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i] : f(f(f(iPr_def_15,f(iPr_def_14,X0)),X1),f(iPr_def_14,f(f(iPr_def_14,f(f(x1,x1),x1)),X0))) = iPr_def_14,
inference(superposition,[status(thm)],[c_69,c_71]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i] : f(f(f(f(X0,x1),iPr_def_10),X1),f(x1,f(f(x1,f(f(X0,X0),X0)),x2))) = x1,
inference(superposition,[status(thm)],[c_64,c_71]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i] : f(f(f(f(X0,x0),iPr_def_13),X1),f(x0,f(f(x0,f(f(X0,X0),X0)),x2))) = x0,
inference(superposition,[status(thm)],[c_67,c_71]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i] : f(f(f(f(X0,x0),iPr_def_12),X1),f(x0,f(f(x0,f(f(X0,X0),X0)),iPr_def_11))) = x0,
inference(superposition,[status(thm)],[c_66,c_71]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i] : f(f(f(f(X0,x1),iPr_def_15),X1),f(x1,f(f(x1,f(f(X0,X0),X0)),iPr_def_14))) = x1,
inference(superposition,[status(thm)],[c_69,c_71]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i] : f(f(f(f(iPr_def_10,X0),f(X0,X1)),X2),f(X0,f(f(X0,f(iPr_def_11,iPr_def_10)),X1))) = X0,
inference(superposition,[status(thm)],[c_65,c_71]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i] : f(f(f(f(iPr_def_13,X0),f(X0,X1)),X2),f(X0,f(f(X0,f(iPr_def_14,iPr_def_13)),X1))) = X0,
inference(superposition,[status(thm)],[c_68,c_71]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : f(f(X0,X1),f(X0,f(f(X0,f(f(f(f(X2,X0),f(X0,X3)),f(f(X2,X0),f(X0,X3))),f(f(X2,X0),f(X0,X3)))),f(f(X0,f(f(X2,X2),X2)),X3)))) = X0,
inference(superposition,[status(thm)],[c_71,c_71]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : f(X0,f(f(X0,X1),f(f(f(X0,X1),f(f(f(X2,X0),f(X2,X0)),f(X2,X0))),X3))) = f(X0,X1),
inference(superposition,[status(thm)],[c_71,c_71]) ).
tcf(c_150,plain,
! [X0: $i] : f(f(f(iPr_def_11,iPr_def_11),X0),f(iPr_def_10,f(f(iPr_def_10,f(iPr_def_11,iPr_def_10)),iPr_def_10))) = iPr_def_10,
inference(superposition,[status(thm)],[c_65,c_112]) ).
tcf(c_165,plain,
! [X0: $i] : f(iPr_def_10,f(iPr_def_11,f(f(iPr_def_11,f(f(iPr_def_11,iPr_def_11),iPr_def_11)),X0))) = iPr_def_11,
inference(superposition,[status(thm)],[c_150,c_71]) ).
tcf(c_179,plain,
! [X0: $i] : f(f(f(iPr_def_14,iPr_def_14),X0),f(iPr_def_13,f(f(iPr_def_13,f(iPr_def_14,iPr_def_13)),iPr_def_13))) = iPr_def_13,
inference(superposition,[status(thm)],[c_68,c_114]) ).
tcf(c_194,plain,
! [X0: $i] : f(iPr_def_13,f(iPr_def_14,f(f(iPr_def_14,f(f(iPr_def_14,iPr_def_14),iPr_def_14)),X0))) = iPr_def_14,
inference(superposition,[status(thm)],[c_179,c_71]) ).
tcf(c_211,plain,
! [X0: $i,X1: $i] : f(x2,f(f(x2,X0),f(f(f(x2,X0),f(f(iPr_def_10,iPr_def_10),iPr_def_10)),X1))) = f(x2,X0),
inference(superposition,[status(thm)],[c_110,c_71]) ).
tcf(c_213,plain,
! [X0: $i,X1: $i] : f(x2,f(f(x2,X0),f(f(f(x2,X0),f(iPr_def_11,iPr_def_10)),X1))) = f(x2,X0),
inference(demodulation,[status(thm)],[c_211,c_65]) ).
tcf(c_294,plain,
! [X0: $i,X1: $i] : f(iPr_def_11,f(f(iPr_def_11,X0),f(f(f(iPr_def_11,X0),f(f(iPr_def_12,iPr_def_12),iPr_def_12)),X1))) = f(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_113,c_71]) ).
tcf(c_304,plain,
! [X0: $i,X1: $i] : f(iPr_def_14,f(f(iPr_def_14,X0),f(f(f(iPr_def_14,X0),f(f(iPr_def_15,iPr_def_15),iPr_def_15)),X1))) = f(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_115,c_71]) ).
tcf(c_905,plain,
f(iPr_def_10,f(iPr_def_11,f(f(iPr_def_11,iPr_def_11),iPr_def_11))) = iPr_def_11,
inference(superposition,[status(thm)],[c_294,c_165]) ).
tcf(c_932,plain,
! [X0: $i] : f(f(f(f(iPr_def_13,iPr_def_10),iPr_def_11),X0),f(iPr_def_10,f(f(iPr_def_10,f(iPr_def_14,iPr_def_13)),f(iPr_def_11,f(f(iPr_def_11,iPr_def_11),iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_905,c_125]) ).
tcf(c_975,plain,
f(iPr_def_13,f(iPr_def_14,f(f(iPr_def_14,iPr_def_14),iPr_def_14))) = iPr_def_14,
inference(superposition,[status(thm)],[c_304,c_194]) ).
tcf(c_998,plain,
! [X0: $i] : f(f(f(f(iPr_def_10,iPr_def_13),iPr_def_14),X0),f(iPr_def_13,f(f(iPr_def_13,f(iPr_def_11,iPr_def_10)),f(iPr_def_14,f(f(iPr_def_14,iPr_def_14),iPr_def_14))))) = iPr_def_13,
inference(superposition,[status(thm)],[c_975,c_124]) ).
tcf(c_1403,plain,
! [X0: $i,X1: $i,X2: $i] : f(f(X0,X1),f(f(f(X0,X1),f(X1,X2)),X1)) = f(f(X0,X1),f(X1,X2)),
inference(superposition,[status(thm)],[c_71,c_129]) ).
tcf(c_1414,plain,
! [X0: $i] : f(f(X0,x0),f(f(f(X0,x0),iPr_def_12),x0)) = f(f(X0,x0),iPr_def_12),
inference(superposition,[status(thm)],[c_120,c_129]) ).
tcf(c_1416,plain,
! [X0: $i] : f(f(X0,x1),f(f(f(X0,x1),iPr_def_15),x1)) = f(f(X0,x1),iPr_def_15),
inference(superposition,[status(thm)],[c_122,c_129]) ).
tcf(c_1797,plain,
! [X0: $i] : f(iPr_def_11,f(f(iPr_def_11,X0),f(f(iPr_def_12,iPr_def_12),iPr_def_12))) = f(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_129,c_294]) ).
tcf(c_1799,plain,
! [X0: $i] : f(iPr_def_14,f(f(iPr_def_14,X0),f(f(iPr_def_15,iPr_def_15),iPr_def_15))) = f(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_129,c_304]) ).
tcf(c_2390,plain,
! [X0: $i,X1: $i,X2: $i] : f(f(f(f(X0,X1),f(X1,X2)),X1),f(X1,X1)) = X1,
inference(superposition,[status(thm)],[c_71,c_1403]) ).
tcf(c_2835,plain,
f(f(iPr_def_10,iPr_def_10),f(iPr_def_10,iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_932,c_2390]) ).
tcf(c_2840,plain,
f(f(iPr_def_13,iPr_def_13),f(iPr_def_13,iPr_def_13)) = iPr_def_13,
inference(superposition,[status(thm)],[c_998,c_2390]) ).
tcf(c_3028,plain,
! [X0: $i] : f(f(X0,X0),f(X0,X0)) = X0,
inference(superposition,[status(thm)],[c_2390,c_2390]) ).
tcf(c_3034,plain,
f(iPr_def_14,iPr_def_14) = iPr_def_13,
inference(demodulation,[status(thm)],[c_2840,c_68]) ).
tcf(c_3035,plain,
f(iPr_def_11,iPr_def_11) = iPr_def_10,
inference(demodulation,[status(thm)],[c_2835,c_65]) ).
tcf(c_6135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : f(f(f(X0,f(f(X0,f(f(X0,f(f(f(f(X1,X0),f(X0,X2)),f(f(X1,X0),f(X0,X2))),f(f(X1,X0),f(X0,X2)))),f(f(X0,f(f(X1,X1),X1)),X2))),X3)),f(X0,f(f(X0,f(f(f(f(X1,X0),f(X0,X2)),f(f(X1,X0),f(X0,X2))),f(f(X1,X0),f(X0,X2)))),f(f(X0,f(f(X1,X1),X1)),X2)))),f(f(X0,f(f(X0,f(f(f(f(X1,X0),f(X0,X2)),f(f(X1,X0),f(X0,X2))),f(f(X1,X0),f(X0,X2)))),f(f(X0,f(f(X1,X1),X1)),X2))),f(X0,f(f(X0,f(f(f(f(X1,X0),f(X0,X2)),f(f(X1,X0),f(X0,X2))),f(f(X1,X0),f(X0,X2)))),f(f(X0,f(f(X1,X1),X1)),X2))))) = f(X0,f(f(X0,f(f(f(f(X1,X0),f(X0,X2)),f(f(X1,X0),f(X0,X2))),f(f(X1,X0),f(X0,X2)))),f(f(X0,f(f(X1,X1),X1)),X2))),
inference(superposition,[status(thm)],[c_128,c_2390]) ).
tcf(c_6148,plain,
! [X0: $i,X1: $i,X2: $i] : f(f(X0,X1),f(X1,f(f(X1,f(f(X0,X0),X0)),X2))) = X1,
inference(superposition,[status(thm)],[c_128,c_71]) ).
tcf(c_6165,plain,
! [X0: $i,X1: $i] : f(X0,f(f(X0,X1),f(X0,X1))) = f(X0,X1),
inference(superposition,[status(thm)],[c_128,c_129]) ).
tcf(c_6260,plain,
! [X0: $i,X1: $i,X2: $i] : f(X0,f(f(X0,f(f(f(f(X1,X0),f(X0,X2)),f(f(X1,X0),f(X0,X2))),f(f(X1,X0),f(X0,X2)))),f(f(X0,f(f(X1,X1),X1)),X2))) = f(X0,X0),
inference(demodulation,[status(thm)],[c_6135,c_128]) ).
tcf(c_6261,plain,
! [X0: $i,X1: $i] : f(f(X0,X1),f(X0,X0)) = X0,
inference(demodulation,[status(thm)],[c_128,c_6260]) ).
tcf(c_7607,plain,
f(iPr_def_13,iPr_def_13) = iPr_def_14,
inference(superposition,[status(thm)],[c_3034,c_3028]) ).
tcf(c_7915,plain,
! [X0: $i,X1: $i] : f(f(f(X0,X0),X1),X0) = f(X0,X0),
inference(superposition,[status(thm)],[c_6261,c_6261]) ).
tcf(c_7947,plain,
! [X0: $i] : f(f(f(iPr_def_12,f(iPr_def_11,f(iPr_def_11,iPr_def_11))),X0),f(iPr_def_11,iPr_def_11)) = iPr_def_11,
inference(superposition,[status(thm)],[c_6261,c_113]) ).
tcf(c_7951,plain,
! [X0: $i] : f(f(f(iPr_def_15,f(iPr_def_14,f(iPr_def_14,iPr_def_14))),X0),f(iPr_def_14,iPr_def_14)) = iPr_def_14,
inference(superposition,[status(thm)],[c_6261,c_115]) ).
tcf(c_8004,plain,
! [X0: $i] : f(f(f(iPr_def_15,f(iPr_def_14,iPr_def_13)),X0),iPr_def_13) = iPr_def_14,
inference(demodulation,[status(thm)],[c_7951,c_3034]) ).
tcf(c_8006,plain,
! [X0: $i] : f(f(f(iPr_def_12,f(iPr_def_11,iPr_def_10)),X0),iPr_def_10) = iPr_def_11,
inference(demodulation,[status(thm)],[c_7947,c_3035]) ).
tcf(c_9315,plain,
! [X0: $i,X1: $i] : f(f(X0,X0),f(X0,X0)) = f(f(X0,X0),f(X0,X1)),
inference(superposition,[status(thm)],[c_7915,c_1403]) ).
tcf(c_9392,plain,
f(f(x0,x0),f(x0,x0)) = f(f(x0,x0),iPr_def_12),
inference(superposition,[status(thm)],[c_7915,c_1414]) ).
tcf(c_9395,plain,
f(f(x1,x1),f(x1,x1)) = f(f(x1,x1),iPr_def_15),
inference(superposition,[status(thm)],[c_7915,c_1416]) ).
tcf(c_9407,plain,
f(f(x1,x1),iPr_def_15) = x1,
inference(demodulation,[status(thm)],[c_9395,c_6261]) ).
tcf(c_9408,plain,
f(f(x0,x0),iPr_def_12) = x0,
inference(demodulation,[status(thm)],[c_9392,c_6261]) ).
tcf(c_9411,plain,
! [X0: $i,X1: $i] : f(f(X0,X0),f(X0,X1)) = X0,
inference(demodulation,[status(thm)],[c_9315,c_6261]) ).
tcf(c_9641,plain,
! [X0: $i] : f(iPr_def_13,f(iPr_def_14,X0)) = iPr_def_14,
inference(superposition,[status(thm)],[c_3034,c_9411]) ).
tcf(c_9723,plain,
! [X0: $i,X1: $i] : f(f(f(X0,X1),f(X0,X1)),X0) = f(X0,X1),
inference(superposition,[status(thm)],[c_6261,c_9411]) ).
tcf(c_9768,plain,
! [X0: $i,X1: $i] : f(X0,f(f(X0,X0),X1)) = f(X0,X0),
inference(superposition,[status(thm)],[c_9411,c_9411]) ).
tcf(c_10030,plain,
f(iPr_def_15,iPr_def_13) = iPr_def_14,
inference(superposition,[status(thm)],[c_6261,c_8004]) ).
tcf(c_10099,plain,
f(iPr_def_14,f(iPr_def_15,iPr_def_15)) = iPr_def_15,
inference(superposition,[status(thm)],[c_10030,c_6261]) ).
tcf(c_10177,plain,
f(iPr_def_13,iPr_def_15) = iPr_def_14,
inference(superposition,[status(thm)],[c_10099,c_9641]) ).
tcf(c_10179,plain,
f(iPr_def_14,f(iPr_def_15,f(f(iPr_def_15,iPr_def_15),iPr_def_15))) = iPr_def_15,
inference(superposition,[status(thm)],[c_10099,c_1799]) ).
tcf(c_10309,plain,
f(iPr_def_12,iPr_def_10) = iPr_def_11,
inference(superposition,[status(thm)],[c_6261,c_8006]) ).
tcf(c_10378,plain,
f(iPr_def_11,f(iPr_def_12,iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_10309,c_6261]) ).
tcf(c_10458,plain,
f(iPr_def_11,f(iPr_def_12,f(f(iPr_def_12,iPr_def_12),iPr_def_12))) = iPr_def_12,
inference(superposition,[status(thm)],[c_10378,c_1797]) ).
tcf(c_11568,plain,
! [X0: $i] : f(iPr_def_14,f(iPr_def_15,f(f(iPr_def_15,f(f(iPr_def_13,iPr_def_13),iPr_def_13)),X0))) = iPr_def_15,
inference(superposition,[status(thm)],[c_10177,c_6148]) ).
tcf(c_11670,plain,
! [X0: $i,X1: $i] : f(f(X0,f(X1,X1)),f(f(X1,X1),f(X1,X1))) = f(X1,X1),
inference(superposition,[status(thm)],[c_7915,c_6148]) ).
tcf(c_11689,plain,
! [X0: $i,X1: $i] : f(X0,f(f(X1,X0),f(X1,X0))) = f(X1,X0),
inference(superposition,[status(thm)],[c_6148,c_6261]) ).
tcf(c_11698,plain,
! [X0: $i,X1: $i] : f(f(X0,X1),f(X1,f(f(X0,X0),X0))) = X1,
inference(superposition,[status(thm)],[c_6148,c_6148]) ).
tcf(c_11764,plain,
! [X0: $i] : f(iPr_def_14,f(iPr_def_15,f(f(iPr_def_15,f(iPr_def_14,iPr_def_13)),X0))) = iPr_def_15,
inference(demodulation,[status(thm)],[c_11568,c_7607]) ).
tcf(c_11766,plain,
! [X0: $i,X1: $i] : f(f(X0,f(X1,X1)),X1) = f(X1,X1),
inference(demodulation,[status(thm)],[c_11670,c_9411]) ).
tcf(c_14150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,X1)) = X1,
inference(superposition,[status(thm)],[c_71,c_6165]) ).
tcf(c_14161,plain,
! [X0: $i,X1: $i] : f(f(f(iPr_def_10,f(x2,X0)),X1),f(x2,x2)) = x2,
inference(superposition,[status(thm)],[c_110,c_6165]) ).
tcf(c_14162,plain,
! [X0: $i,X1: $i] : f(f(f(iPr_def_13,f(x2,X0)),X1),f(x2,x2)) = x2,
inference(superposition,[status(thm)],[c_111,c_6165]) ).
tcf(c_14164,plain,
! [X0: $i,X1: $i] : f(f(f(iPr_def_12,f(iPr_def_11,X0)),X1),f(iPr_def_11,iPr_def_11)) = iPr_def_11,
inference(superposition,[status(thm)],[c_113,c_6165]) ).
tcf(c_14166,plain,
! [X0: $i,X1: $i] : f(f(f(iPr_def_15,f(iPr_def_14,X0)),X1),f(iPr_def_14,iPr_def_14)) = iPr_def_14,
inference(superposition,[status(thm)],[c_115,c_6165]) ).
tcf(c_14168,plain,
! [X0: $i,X1: $i] : f(f(f(f(X0,x1),iPr_def_10),X1),f(x1,x1)) = x1,
inference(superposition,[status(thm)],[c_117,c_6165]) ).
tcf(c_14169,plain,
! [X0: $i,X1: $i] : f(f(f(f(X0,x0),iPr_def_13),X1),f(x0,x0)) = x0,
inference(superposition,[status(thm)],[c_118,c_6165]) ).
tcf(c_14387,plain,
! [X0: $i,X1: $i] : f(f(f(iPr_def_15,f(iPr_def_14,X0)),X1),iPr_def_13) = iPr_def_14,
inference(demodulation,[status(thm)],[c_14166,c_3034]) ).
tcf(c_14388,plain,
! [X0: $i,X1: $i] : f(f(f(iPr_def_12,f(iPr_def_11,X0)),X1),iPr_def_10) = iPr_def_11,
inference(demodulation,[status(thm)],[c_14164,c_3035]) ).
tcf(c_14474,plain,
! [X0: $i] : f(f(f(iPr_def_15,iPr_def_15),X0),iPr_def_13) = iPr_def_14,
inference(superposition,[status(thm)],[c_10179,c_14387]) ).
tcf(c_14630,plain,
! [X0: $i] : f(f(f(iPr_def_12,iPr_def_12),X0),iPr_def_10) = iPr_def_11,
inference(superposition,[status(thm)],[c_10458,c_14388]) ).
tcf(c_15510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : f(f(X0,X0),f(f(f(X1,X0),f(X0,X2)),X3)) = X0,
inference(superposition,[status(thm)],[c_71,c_9723]) ).
tcf(c_15601,plain,
! [X0: $i,X1: $i] : f(f(f(X0,X0),f(X0,X0)),f(X1,f(X0,X0))) = f(X0,X0),
inference(superposition,[status(thm)],[c_11766,c_9723]) ).
tcf(c_15641,plain,
! [X0: $i,X1: $i] : f(f(iPr_def_14,iPr_def_14),f(f(iPr_def_15,f(iPr_def_14,X0)),X1)) = iPr_def_14,
inference(superposition,[status(thm)],[c_14387,c_9723]) ).
tcf(c_15642,plain,
! [X0: $i,X1: $i] : f(f(iPr_def_11,iPr_def_11),f(f(iPr_def_12,f(iPr_def_11,X0)),X1)) = iPr_def_11,
inference(superposition,[status(thm)],[c_14388,c_9723]) ).
tcf(c_15712,plain,
! [X0: $i,X1: $i] : f(iPr_def_10,f(f(iPr_def_12,f(iPr_def_11,X0)),X1)) = iPr_def_11,
inference(demodulation,[status(thm)],[c_15642,c_3035]) ).
tcf(c_15713,plain,
! [X0: $i,X1: $i] : f(iPr_def_13,f(f(iPr_def_15,f(iPr_def_14,X0)),X1)) = iPr_def_14,
inference(demodulation,[status(thm)],[c_15641,c_3034]) ).
tcf(c_15715,plain,
! [X0: $i,X1: $i] : f(X0,f(X1,f(X0,X0))) = f(X0,X0),
inference(demodulation,[status(thm)],[c_15601,c_9411]) ).
tcf(c_17481,plain,
! [X0: $i,X1: $i] : f(f(f(x0,f(iPr_def_12,X0)),X1),f(iPr_def_12,iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_9408,c_14150]) ).
tcf(c_17482,plain,
! [X0: $i,X1: $i] : f(f(f(x1,f(iPr_def_15,X0)),X1),f(iPr_def_15,iPr_def_15)) = iPr_def_15,
inference(superposition,[status(thm)],[c_9407,c_14150]) ).
tcf(c_18291,plain,
! [X0: $i,X1: $i] : f(f(iPr_def_14,iPr_def_14),f(f(f(X0,iPr_def_14),iPr_def_15),X1)) = iPr_def_14,
inference(superposition,[status(thm)],[c_10179,c_15510]) ).
tcf(c_18381,plain,
! [X0: $i,X1: $i] : f(iPr_def_13,f(f(f(X0,iPr_def_14),iPr_def_15),X1)) = iPr_def_14,
inference(demodulation,[status(thm)],[c_18291,c_3034]) ).
tcf(c_22807,plain,
! [X0: $i,X1: $i] : f(iPr_def_13,f(f(f(iPr_def_14,X0),iPr_def_15),X1)) = iPr_def_14,
inference(superposition,[status(thm)],[c_9723,c_18381]) ).
tcf(c_26120,plain,
! [X0: $i,X1: $i] : f(iPr_def_10,f(f(iPr_def_12,f(X0,iPr_def_11)),X1)) = iPr_def_11,
inference(superposition,[status(thm)],[c_11689,c_15712]) ).
tcf(c_26146,plain,
! [X0: $i,X1: $i] : f(iPr_def_13,f(f(iPr_def_15,f(X0,iPr_def_14)),X1)) = iPr_def_14,
inference(superposition,[status(thm)],[c_11689,c_15713]) ).
tcf(c_26153,plain,
! [X0: $i,X1: $i] : f(iPr_def_13,f(X0,f(iPr_def_15,f(iPr_def_14,X1)))) = iPr_def_14,
inference(superposition,[status(thm)],[c_11689,c_15713]) ).
tcf(c_26208,plain,
! [X0: $i] : f(f(X0,f(iPr_def_12,iPr_def_12)),iPr_def_10) = iPr_def_11,
inference(superposition,[status(thm)],[c_11689,c_14630]) ).
tcf(c_26210,plain,
! [X0: $i] : f(f(X0,f(iPr_def_15,iPr_def_15)),iPr_def_13) = iPr_def_14,
inference(superposition,[status(thm)],[c_11689,c_14474]) ).
tcf(c_26604,plain,
! [X0: $i] : f(iPr_def_11,f(iPr_def_12,f(f(iPr_def_12,f(f(X0,X0),X0)),iPr_def_12))) = iPr_def_12,
inference(superposition,[status(thm)],[c_26208,c_71]) ).
tcf(c_26786,plain,
! [X0: $i] : f(iPr_def_14,f(iPr_def_15,f(f(iPr_def_15,f(f(X0,X0),X0)),iPr_def_15))) = iPr_def_15,
inference(superposition,[status(thm)],[c_26210,c_71]) ).
tcf(c_28443,plain,
! [X0: $i,X1: $i] : f(iPr_def_10,f(X0,f(iPr_def_12,f(X1,iPr_def_11)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11689,c_26120]) ).
tcf(c_30490,plain,
! [X0: $i,X1: $i] : f(iPr_def_13,f(X0,f(iPr_def_15,f(X1,iPr_def_14)))) = iPr_def_14,
inference(superposition,[status(thm)],[c_11689,c_26146]) ).
tcf(c_42647,plain,
! [X0: $i] : f(f(iPr_def_11,X0),f(x2,x2)) = x2,
inference(superposition,[status(thm)],[c_28443,c_14161]) ).
tcf(c_42793,plain,
f(iPr_def_12,f(x2,x2)) = x2,
inference(superposition,[status(thm)],[c_26604,c_42647]) ).
tcf(c_42886,plain,
f(f(iPr_def_12,iPr_def_12),x2) = iPr_def_12,
inference(superposition,[status(thm)],[c_42793,c_9411]) ).
tcf(c_42975,plain,
! [X0: $i,X1: $i] : f(f(f(iPr_def_12,f(x2,X0)),X1),f(x2,x2)) = x2,
inference(superposition,[status(thm)],[c_42886,c_14150]) ).
tcf(c_44037,plain,
! [X0: $i] : f(f(iPr_def_14,X0),f(x2,x2)) = x2,
inference(superposition,[status(thm)],[c_26153,c_14162]) ).
tcf(c_44192,plain,
f(iPr_def_15,f(x2,x2)) = x2,
inference(superposition,[status(thm)],[c_26786,c_44037]) ).
tcf(c_44282,plain,
f(f(x2,x2),iPr_def_15) = x2,
inference(superposition,[status(thm)],[c_44192,c_9723]) ).
tcf(c_44286,plain,
f(x2,f(iPr_def_15,iPr_def_15)) = iPr_def_15,
inference(superposition,[status(thm)],[c_44192,c_6261]) ).
tcf(c_44322,plain,
f(x2,f(iPr_def_15,f(f(f(x2,x2),f(x2,x2)),f(x2,x2)))) = iPr_def_15,
inference(superposition,[status(thm)],[c_44282,c_11698]) ).
tcf(c_44350,plain,
f(x2,f(iPr_def_15,f(x2,f(x2,x2)))) = iPr_def_15,
inference(demodulation,[status(thm)],[c_44322,c_9411]) ).
tcf(c_44447,plain,
! [X0: $i] : f(x2,f(iPr_def_15,f(f(iPr_def_15,f(iPr_def_11,iPr_def_10)),X0))) = iPr_def_15,
inference(superposition,[status(thm)],[c_44286,c_213]) ).
tcf(c_46264,plain,
! [X0: $i] : f(f(iPr_def_11,X0),f(x1,x1)) = x1,
inference(superposition,[status(thm)],[c_14388,c_14168]) ).
tcf(c_46399,plain,
f(iPr_def_12,f(x1,x1)) = x1,
inference(superposition,[status(thm)],[c_26604,c_46264]) ).
tcf(c_46494,plain,
f(f(x1,x1),iPr_def_12) = x1,
inference(superposition,[status(thm)],[c_46399,c_9723]) ).
tcf(c_46534,plain,
! [X0: $i,X1: $i] : f(f(f(x1,f(iPr_def_12,X0)),X1),f(iPr_def_12,iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_46494,c_14150]) ).
tcf(c_47414,plain,
! [X0: $i] : f(f(iPr_def_14,X0),f(x0,x0)) = x0,
inference(superposition,[status(thm)],[c_14387,c_14169]) ).
tcf(c_47548,plain,
f(iPr_def_15,f(x0,x0)) = x0,
inference(superposition,[status(thm)],[c_26786,c_47414]) ).
tcf(c_47638,plain,
f(f(x0,x0),iPr_def_15) = x0,
inference(superposition,[status(thm)],[c_47548,c_9723]) ).
tcf(c_47678,plain,
! [X0: $i,X1: $i] : f(f(f(x0,f(iPr_def_15,X0)),X1),f(iPr_def_15,iPr_def_15)) = iPr_def_15,
inference(superposition,[status(thm)],[c_47638,c_14150]) ).
tcf(c_62226,plain,
! [X0: $i] : f(f(f(x0,x2),X0),f(iPr_def_12,iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_42793,c_17481]) ).
tcf(c_62283,plain,
! [X0: $i] : f(f(iPr_def_13,X0),f(iPr_def_12,iPr_def_12)) = iPr_def_12,
inference(demodulation,[status(thm)],[c_62226,c_67]) ).
tcf(c_62354,plain,
f(iPr_def_14,f(iPr_def_12,iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_30490,c_62283]) ).
tcf(c_62407,plain,
f(iPr_def_12,iPr_def_13) = f(iPr_def_13,iPr_def_13),
inference(superposition,[status(thm)],[c_62283,c_7915]) ).
tcf(c_62421,plain,
f(iPr_def_12,iPr_def_13) = iPr_def_14,
inference(demodulation,[status(thm)],[c_62407,c_7607]) ).
tcf(c_62805,plain,
f(f(iPr_def_12,iPr_def_12),iPr_def_14) = iPr_def_12,
inference(superposition,[status(thm)],[c_62421,c_9411]) ).
tcf(c_62971,plain,
! [X0: $i] : f(iPr_def_13,f(f(iPr_def_12,iPr_def_15),X0)) = iPr_def_14,
inference(superposition,[status(thm)],[c_62354,c_22807]) ).
tcf(c_63019,plain,
f(iPr_def_12,f(iPr_def_14,f(f(f(iPr_def_12,iPr_def_12),f(iPr_def_12,iPr_def_12)),f(iPr_def_12,iPr_def_12)))) = iPr_def_14,
inference(superposition,[status(thm)],[c_62805,c_11698]) ).
tcf(c_63064,plain,
f(iPr_def_12,f(iPr_def_14,f(iPr_def_12,f(iPr_def_12,iPr_def_12)))) = iPr_def_14,
inference(demodulation,[status(thm)],[c_63019,c_9411]) ).
tcf(c_63391,plain,
f(f(iPr_def_12,iPr_def_15),f(iPr_def_12,iPr_def_15)) = f(iPr_def_14,f(iPr_def_12,iPr_def_15)),
inference(superposition,[status(thm)],[c_62971,c_11766]) ).
tcf(c_71044,plain,
! [X0: $i] : f(f(f(x1,x2),X0),f(iPr_def_15,iPr_def_15)) = iPr_def_15,
inference(superposition,[status(thm)],[c_44192,c_17482]) ).
tcf(c_71102,plain,
! [X0: $i] : f(f(iPr_def_10,X0),f(iPr_def_15,iPr_def_15)) = iPr_def_15,
inference(demodulation,[status(thm)],[c_71044,c_64]) ).
tcf(c_71213,plain,
f(iPr_def_11,f(iPr_def_15,iPr_def_15)) = iPr_def_15,
inference(superposition,[status(thm)],[c_28443,c_71102]) ).
tcf(c_71523,plain,
! [X0: $i] : f(iPr_def_10,f(f(iPr_def_12,iPr_def_15),X0)) = iPr_def_11,
inference(superposition,[status(thm)],[c_71213,c_15712]) ).
tcf(c_72254,plain,
f(f(iPr_def_12,iPr_def_15),f(iPr_def_12,iPr_def_15)) = f(iPr_def_11,f(iPr_def_12,iPr_def_15)),
inference(superposition,[status(thm)],[c_71523,c_11766]) ).
tcf(c_72255,plain,
f(f(iPr_def_12,iPr_def_15),f(iPr_def_12,iPr_def_15)) = f(f(iPr_def_12,iPr_def_15),iPr_def_11),
inference(superposition,[status(thm)],[c_71523,c_15715]) ).
tcf(c_72259,plain,
f(f(iPr_def_12,iPr_def_15),iPr_def_11) = f(iPr_def_14,f(iPr_def_12,iPr_def_15)),
inference(light_normalisation,[status(thm)],[c_72255,c_63391]) ).
tcf(c_102224,plain,
! [X0: $i] : f(f(f(iPr_def_12,iPr_def_15),X0),f(x2,x2)) = x2,
inference(superposition,[status(thm)],[c_44350,c_42975]) ).
tcf(c_102619,plain,
f(f(iPr_def_12,iPr_def_15),f(iPr_def_12,iPr_def_15)) = f(x2,f(iPr_def_12,iPr_def_15)),
inference(superposition,[status(thm)],[c_102224,c_7915]) ).
tcf(c_102632,plain,
f(x2,f(iPr_def_12,iPr_def_15)) = f(iPr_def_11,f(iPr_def_12,iPr_def_15)),
inference(light_normalisation,[status(thm)],[c_102619,c_72254]) ).
tcf(c_114413,plain,
! [X0: $i] : f(f(f(x1,iPr_def_14),X0),f(iPr_def_12,iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_63064,c_46534]) ).
tcf(c_114474,plain,
! [X0: $i] : f(f(iPr_def_15,X0),f(iPr_def_12,iPr_def_12)) = iPr_def_12,
inference(demodulation,[status(thm)],[c_114413,c_69]) ).
tcf(c_114513,plain,
! [X0: $i] : f(f(X0,iPr_def_15),f(iPr_def_12,iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_11689,c_114474]) ).
tcf(c_114576,plain,
f(iPr_def_15,iPr_def_12) = f(iPr_def_15,iPr_def_15),
inference(superposition,[status(thm)],[c_114474,c_9768]) ).
tcf(c_114577,plain,
f(iPr_def_12,iPr_def_15) = f(iPr_def_15,iPr_def_15),
inference(superposition,[status(thm)],[c_114474,c_7915]) ).
tcf(c_114588,plain,
f(iPr_def_14,f(iPr_def_15,iPr_def_12)) = iPr_def_15,
inference(superposition,[status(thm)],[c_114474,c_11764]) ).
tcf(c_114589,plain,
f(x2,f(iPr_def_15,iPr_def_12)) = iPr_def_15,
inference(superposition,[status(thm)],[c_114474,c_44447]) ).
tcf(c_114929,plain,
f(iPr_def_12,iPr_def_15) = f(iPr_def_15,iPr_def_12),
inference(demodulation,[status(thm)],[c_114576,c_114577]) ).
tcf(c_115067,plain,
f(iPr_def_14,f(iPr_def_12,iPr_def_15)) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_114588,c_114929]) ).
tcf(c_115069,plain,
f(f(iPr_def_12,iPr_def_15),iPr_def_11) = iPr_def_15,
inference(demodulation,[status(thm)],[c_72259,c_115067]) ).
tcf(c_115154,plain,
f(iPr_def_11,f(iPr_def_12,iPr_def_15)) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_114589,c_102632,c_114929]) ).
tcf(c_115522,plain,
f(iPr_def_15,f(iPr_def_11,f(f(f(iPr_def_12,iPr_def_15),f(iPr_def_12,iPr_def_15)),f(iPr_def_12,iPr_def_15)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_115069,c_11698]) ).
tcf(c_115584,plain,
f(iPr_def_15,f(iPr_def_11,f(iPr_def_15,f(iPr_def_12,iPr_def_15)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_115522,c_72254,c_115154]) ).
tcf(c_115859,plain,
! [X0: $i] : f(f(iPr_def_12,iPr_def_12),f(X0,iPr_def_15)) = iPr_def_12,
inference(superposition,[status(thm)],[c_114513,c_9723]) ).
tcf(c_132156,plain,
! [X0: $i] : f(f(f(x0,iPr_def_11),X0),f(iPr_def_15,iPr_def_15)) = iPr_def_15,
inference(superposition,[status(thm)],[c_115584,c_47678]) ).
tcf(c_132208,plain,
! [X0: $i] : f(f(iPr_def_12,X0),f(iPr_def_12,iPr_def_15)) = iPr_def_15,
inference(demodulation,[status(thm)],[c_132156,c_66,c_114577]) ).
tcf(c_132446,plain,
iPr_def_12 = iPr_def_15,
inference(superposition,[status(thm)],[c_132208,c_115859]) ).
tcf(c_132447,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_132446,c_70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT393-1 : TPTP v9.3.1. Released v5.4.0.
% 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 21:32:44 UTC 2026
% 0.02/0.37 % CPUTime :
% 0.02/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.02/0.41 Running UEQ theorem proving
% 0.02/0.41 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
% 0.02/0.42
% 0.02/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.02/0.42
% 0.02/0.42 % Detected problem language: tptp
% 0.02/0.43 % Proving...
% 181.06/26.47 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 181.06/26.47 % SZS status Started for theBenchmark.p
% 181.06/26.47 % SZS status Unsatisfiable for theBenchmark.p
% 181.06/26.47
% 181.06/26.47 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 181.06/26.47
% 181.06/26.47 % ------ iProver source info
% 181.06/26.47
% 181.06/26.47 % git: date: 2026-07-19 20:42:38 +0200
% 181.06/26.47 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 181.06/26.47 % git: non_committed_changes: false
% 181.06/26.47
% 181.06/26.47 % ------ Parsing...% successful
% 181.06/26.47
% 181.06/26.47
% 181.06/26.47 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 181.06/26.47
% 181.06/26.47 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 181.06/26.47
% 181.06/26.47 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 181.06/26.47
% 181.06/26.47 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 181.06/26.47 % ------ Proving...
% 181.06/26.47 % ------ Problem Properties
% 181.06/26.47
% 181.06/26.47 %
% 181.06/26.47 % clauses 8
% 181.06/26.47 % conjectures 1
% 181.06/26.47 % EPR 1
% 181.06/26.47 % Horn 8
% 181.06/26.47 % unary 8
% 181.06/26.47 % binary 0
% 181.06/26.47 % lits 8
% 181.06/26.47 % lits eq 8
% 181.06/26.47 % fd_pure 0
% 181.06/26.47 % fd_pseudo 0
% 181.06/26.47 % fd_cond 0
% 181.06/26.47 % fd_pseudo_cond 0
% 181.06/26.47 % AC symbols 0
% 181.06/26.47
% 181.06/26.47 % ------ Input Options Time Limit: Unbounded
% 181.06/26.47
% 181.06/26.47
% 181.06/26.47 % ------
% 181.06/26.47 % Current options:
% 181.06/26.47 % ------
% 181.06/26.47
% 181.06/26.47
% 181.06/26.47 %
% 181.06/26.47
% 181.06/26.47 % ------ Proving...
% 181.06/26.47 %
% 181.06/26.47
% 181.06/26.47 % SZS status Unsatisfiable for theBenchmark.p
% 181.06/26.47
% 181.06/26.47 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 181.06/26.48
% 181.06/26.48
%------------------------------------------------------------------------------