TSTP Solution File: SET750+4 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET750+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 00:53:44 EDT 2022
% Result : Theorem 0.81s 119.00s
% Output : CNFRefutation 0.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 4
% Syntax : Number of formulae : 93 ( 6 unt; 0 def)
% Number of atoms : 474 ( 0 equ)
% Maximal formula atoms : 56 ( 5 avg)
% Number of connectives : 616 ( 235 ~; 328 |; 42 &)
% ( 6 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-5 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-5 aty)
% Number of variables : 324 ( 10 sgn 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thII41,conjecture,
! [X6,X1,X2,X15,X16] :
( ( maps(X6,X1,X2)
& one_to_one(X6,X1,X2) )
=> ( isomorphism(X6,X1,X15,X2,X16)
<=> ( increasing(X6,X1,X15,X2,X16)
& increasing(inverse_function(X6,X1,X2),X2,X16,X1,X15) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thII41) ).
fof(isomorphism,axiom,
! [X6,X1,X15,X2,X16] :
( isomorphism(X6,X1,X15,X2,X16)
<=> ( maps(X6,X1,X2)
& one_to_one(X6,X1,X2)
& ! [X13,X7,X14,X8] :
( ( member(X13,X1)
& member(X7,X2)
& member(X14,X1)
& member(X8,X2)
& apply(X6,X13,X7)
& apply(X6,X14,X8) )
=> ( apply(X15,X13,X14)
<=> apply(X16,X7,X8) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',isomorphism) ).
fof(inverse_function,axiom,
! [X6,X1,X2,X3,X5] :
( ( member(X3,X1)
& member(X5,X2) )
=> ( apply(X6,X3,X5)
<=> apply(inverse_function(X6,X1,X2),X5,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',inverse_function) ).
fof(increasing_function,axiom,
! [X6,X1,X15,X2,X16] :
( increasing(X6,X1,X15,X2,X16)
<=> ! [X13,X7,X14,X8] :
( ( member(X13,X1)
& member(X7,X2)
& member(X14,X1)
& member(X8,X2)
& apply(X15,X13,X14)
& apply(X6,X13,X7)
& apply(X6,X14,X8) )
=> apply(X16,X7,X8) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',increasing_function) ).
fof(c_0_4,negated_conjecture,
~ ! [X6,X1,X2,X15,X16] :
( ( maps(X6,X1,X2)
& one_to_one(X6,X1,X2) )
=> ( isomorphism(X6,X1,X15,X2,X16)
<=> ( increasing(X6,X1,X15,X2,X16)
& increasing(inverse_function(X6,X1,X2),X2,X16,X1,X15) ) ) ),
inference(assume_negation,[status(cth)],[thII41]) ).
fof(c_0_5,plain,
! [X17,X18,X19,X20,X21,X22,X23,X24,X25,X17,X18,X19,X20,X21] :
( ( maps(X17,X18,X20)
| ~ isomorphism(X17,X18,X19,X20,X21) )
& ( one_to_one(X17,X18,X20)
| ~ isomorphism(X17,X18,X19,X20,X21) )
& ( ~ apply(X19,X22,X24)
| apply(X21,X23,X25)
| ~ member(X22,X18)
| ~ member(X23,X20)
| ~ member(X24,X18)
| ~ member(X25,X20)
| ~ apply(X17,X22,X23)
| ~ apply(X17,X24,X25)
| ~ isomorphism(X17,X18,X19,X20,X21) )
& ( ~ apply(X21,X23,X25)
| apply(X19,X22,X24)
| ~ member(X22,X18)
| ~ member(X23,X20)
| ~ member(X24,X18)
| ~ member(X25,X20)
| ~ apply(X17,X22,X23)
| ~ apply(X17,X24,X25)
| ~ isomorphism(X17,X18,X19,X20,X21) )
& ( member(esk10_5(X17,X18,X19,X20,X21),X18)
| ~ maps(X17,X18,X20)
| ~ one_to_one(X17,X18,X20)
| isomorphism(X17,X18,X19,X20,X21) )
& ( member(esk11_5(X17,X18,X19,X20,X21),X20)
| ~ maps(X17,X18,X20)
| ~ one_to_one(X17,X18,X20)
| isomorphism(X17,X18,X19,X20,X21) )
& ( member(esk12_5(X17,X18,X19,X20,X21),X18)
| ~ maps(X17,X18,X20)
| ~ one_to_one(X17,X18,X20)
| isomorphism(X17,X18,X19,X20,X21) )
& ( member(esk13_5(X17,X18,X19,X20,X21),X20)
| ~ maps(X17,X18,X20)
| ~ one_to_one(X17,X18,X20)
| isomorphism(X17,X18,X19,X20,X21) )
& ( apply(X17,esk10_5(X17,X18,X19,X20,X21),esk11_5(X17,X18,X19,X20,X21))
| ~ maps(X17,X18,X20)
| ~ one_to_one(X17,X18,X20)
| isomorphism(X17,X18,X19,X20,X21) )
& ( apply(X17,esk12_5(X17,X18,X19,X20,X21),esk13_5(X17,X18,X19,X20,X21))
| ~ maps(X17,X18,X20)
| ~ one_to_one(X17,X18,X20)
| isomorphism(X17,X18,X19,X20,X21) )
& ( ~ apply(X19,esk10_5(X17,X18,X19,X20,X21),esk12_5(X17,X18,X19,X20,X21))
| ~ apply(X21,esk11_5(X17,X18,X19,X20,X21),esk13_5(X17,X18,X19,X20,X21))
| ~ maps(X17,X18,X20)
| ~ one_to_one(X17,X18,X20)
| isomorphism(X17,X18,X19,X20,X21) )
& ( apply(X19,esk10_5(X17,X18,X19,X20,X21),esk12_5(X17,X18,X19,X20,X21))
| apply(X21,esk11_5(X17,X18,X19,X20,X21),esk13_5(X17,X18,X19,X20,X21))
| ~ maps(X17,X18,X20)
| ~ one_to_one(X17,X18,X20)
| isomorphism(X17,X18,X19,X20,X21) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isomorphism])])])])])])]) ).
fof(c_0_6,negated_conjecture,
( maps(esk1_0,esk2_0,esk3_0)
& one_to_one(esk1_0,esk2_0,esk3_0)
& ( ~ isomorphism(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0)
| ~ increasing(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0)
| ~ increasing(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk5_0,esk2_0,esk4_0) )
& ( increasing(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0)
| isomorphism(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0) )
& ( increasing(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk5_0,esk2_0,esk4_0)
| isomorphism(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])]) ).
fof(c_0_7,plain,
! [X7,X8,X9,X10,X11] :
( ( ~ apply(X7,X10,X11)
| apply(inverse_function(X7,X8,X9),X11,X10)
| ~ member(X10,X8)
| ~ member(X11,X9) )
& ( ~ apply(inverse_function(X7,X8,X9),X11,X10)
| apply(X7,X10,X11)
| ~ member(X10,X8)
| ~ member(X11,X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inverse_function])])]) ).
cnf(c_0_8,plain,
( isomorphism(X1,X2,X3,X4,X5)
| apply(X1,esk10_5(X1,X2,X3,X4,X5),esk11_5(X1,X2,X3,X4,X5))
| ~ one_to_one(X1,X2,X4)
| ~ maps(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
one_to_one(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
maps(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( apply(inverse_function(X5,X4,X2),X1,X3)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(X5,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
( isomorphism(esk1_0,esk2_0,X1,esk3_0,X2)
| apply(esk1_0,esk10_5(esk1_0,esk2_0,X1,esk3_0,X2),esk11_5(esk1_0,esk2_0,X1,esk3_0,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).
cnf(c_0_13,plain,
( isomorphism(X1,X2,X3,X4,X5)
| member(esk10_5(X1,X2,X3,X4,X5),X2)
| ~ one_to_one(X1,X2,X4)
| ~ maps(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_14,plain,
! [X17,X18,X19,X20,X21,X22,X23,X24,X25,X17,X18,X19,X20,X21] :
( ( ~ increasing(X17,X18,X19,X20,X21)
| ~ member(X22,X18)
| ~ member(X23,X20)
| ~ member(X24,X18)
| ~ member(X25,X20)
| ~ apply(X19,X22,X24)
| ~ apply(X17,X22,X23)
| ~ apply(X17,X24,X25)
| apply(X21,X23,X25) )
& ( member(esk6_5(X17,X18,X19,X20,X21),X18)
| increasing(X17,X18,X19,X20,X21) )
& ( member(esk7_5(X17,X18,X19,X20,X21),X20)
| increasing(X17,X18,X19,X20,X21) )
& ( member(esk8_5(X17,X18,X19,X20,X21),X18)
| increasing(X17,X18,X19,X20,X21) )
& ( member(esk9_5(X17,X18,X19,X20,X21),X20)
| increasing(X17,X18,X19,X20,X21) )
& ( apply(X19,esk6_5(X17,X18,X19,X20,X21),esk8_5(X17,X18,X19,X20,X21))
| increasing(X17,X18,X19,X20,X21) )
& ( apply(X17,esk6_5(X17,X18,X19,X20,X21),esk7_5(X17,X18,X19,X20,X21))
| increasing(X17,X18,X19,X20,X21) )
& ( apply(X17,esk8_5(X17,X18,X19,X20,X21),esk9_5(X17,X18,X19,X20,X21))
| increasing(X17,X18,X19,X20,X21) )
& ( ~ apply(X21,esk7_5(X17,X18,X19,X20,X21),esk9_5(X17,X18,X19,X20,X21))
| increasing(X17,X18,X19,X20,X21) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[increasing_function])])])])])])]) ).
cnf(c_0_15,negated_conjecture,
( isomorphism(esk1_0,esk2_0,X1,esk3_0,X2)
| apply(inverse_function(esk1_0,X3,X4),esk11_5(esk1_0,esk2_0,X1,esk3_0,X2),esk10_5(esk1_0,esk2_0,X1,esk3_0,X2))
| ~ member(esk10_5(esk1_0,esk2_0,X1,esk3_0,X2),X3)
| ~ member(esk11_5(esk1_0,esk2_0,X1,esk3_0,X2),X4) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( isomorphism(esk1_0,esk2_0,X1,esk3_0,X2)
| member(esk10_5(esk1_0,esk2_0,X1,esk3_0,X2),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_9]),c_0_10])]) ).
cnf(c_0_17,plain,
( isomorphism(X1,X2,X3,X4,X5)
| member(esk11_5(X1,X2,X3,X4,X5),X4)
| ~ one_to_one(X1,X2,X4)
| ~ maps(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,plain,
( isomorphism(X1,X2,X3,X4,X5)
| apply(X1,esk12_5(X1,X2,X3,X4,X5),esk13_5(X1,X2,X3,X4,X5))
| ~ one_to_one(X1,X2,X4)
| ~ maps(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_19,plain,
( apply(X1,X2,X3)
| ~ apply(X4,X5,X3)
| ~ apply(X4,X6,X2)
| ~ apply(X7,X6,X5)
| ~ member(X3,X8)
| ~ member(X5,X9)
| ~ member(X2,X8)
| ~ member(X6,X9)
| ~ increasing(X4,X9,X7,X8,X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
( isomorphism(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0)
| increasing(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk5_0,esk2_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,negated_conjecture,
( isomorphism(esk1_0,esk2_0,X1,esk3_0,X2)
| apply(inverse_function(esk1_0,esk2_0,X3),esk11_5(esk1_0,esk2_0,X1,esk3_0,X2),esk10_5(esk1_0,esk2_0,X1,esk3_0,X2))
| ~ member(esk11_5(esk1_0,esk2_0,X1,esk3_0,X2),X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,negated_conjecture,
( isomorphism(esk1_0,esk2_0,X1,esk3_0,X2)
| member(esk11_5(esk1_0,esk2_0,X1,esk3_0,X2),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_9]),c_0_10])]) ).
cnf(c_0_23,negated_conjecture,
( isomorphism(esk1_0,esk2_0,X1,esk3_0,X2)
| apply(esk1_0,esk12_5(esk1_0,esk2_0,X1,esk3_0,X2),esk13_5(esk1_0,esk2_0,X1,esk3_0,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_9]),c_0_10])]) ).
cnf(c_0_24,plain,
( isomorphism(X1,X2,X3,X4,X5)
| member(esk12_5(X1,X2,X3,X4,X5),X2)
| ~ one_to_one(X1,X2,X4)
| ~ maps(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_25,negated_conjecture,
( isomorphism(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0)
| apply(esk4_0,X1,X2)
| ~ apply(inverse_function(esk1_0,esk2_0,esk3_0),X3,X1)
| ~ apply(inverse_function(esk1_0,esk2_0,esk3_0),X4,X2)
| ~ apply(esk5_0,X3,X4)
| ~ member(X3,esk3_0)
| ~ member(X4,esk3_0)
| ~ member(X2,esk2_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,negated_conjecture,
( isomorphism(esk1_0,esk2_0,X1,esk3_0,X2)
| apply(inverse_function(esk1_0,esk2_0,esk3_0),esk11_5(esk1_0,esk2_0,X1,esk3_0,X2),esk10_5(esk1_0,esk2_0,X1,esk3_0,X2)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,plain,
( isomorphism(X1,X2,X3,X4,X5)
| apply(X5,esk11_5(X1,X2,X3,X4,X5),esk13_5(X1,X2,X3,X4,X5))
| apply(X3,esk10_5(X1,X2,X3,X4,X5),esk12_5(X1,X2,X3,X4,X5))
| ~ one_to_one(X1,X2,X4)
| ~ maps(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_28,negated_conjecture,
( isomorphism(esk1_0,esk2_0,X1,esk3_0,X2)
| apply(inverse_function(esk1_0,X3,X4),esk13_5(esk1_0,esk2_0,X1,esk3_0,X2),esk12_5(esk1_0,esk2_0,X1,esk3_0,X2))
| ~ member(esk12_5(esk1_0,esk2_0,X1,esk3_0,X2),X3)
| ~ member(esk13_5(esk1_0,esk2_0,X1,esk3_0,X2),X4) ),
inference(spm,[status(thm)],[c_0_11,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
( isomorphism(esk1_0,esk2_0,X1,esk3_0,X2)
| member(esk12_5(esk1_0,esk2_0,X1,esk3_0,X2),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_9]),c_0_10])]) ).
cnf(c_0_30,plain,
( isomorphism(X1,X2,X3,X4,X5)
| member(esk13_5(X1,X2,X3,X4,X5),X4)
| ~ one_to_one(X1,X2,X4)
| ~ maps(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_31,negated_conjecture,
( isomorphism(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0)
| isomorphism(esk1_0,esk2_0,X1,esk3_0,X2)
| apply(esk4_0,esk10_5(esk1_0,esk2_0,X1,esk3_0,X2),X3)
| ~ apply(esk5_0,esk11_5(esk1_0,esk2_0,X1,esk3_0,X2),X4)
| ~ apply(inverse_function(esk1_0,esk2_0,esk3_0),X4,X3)
| ~ member(esk11_5(esk1_0,esk2_0,X1,esk3_0,X2),esk3_0)
| ~ member(esk10_5(esk1_0,esk2_0,X1,esk3_0,X2),esk2_0)
| ~ member(X4,esk3_0)
| ~ member(X3,esk2_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
( isomorphism(esk1_0,esk2_0,X1,esk3_0,X2)
| apply(X2,esk11_5(esk1_0,esk2_0,X1,esk3_0,X2),esk13_5(esk1_0,esk2_0,X1,esk3_0,X2))
| apply(X1,esk10_5(esk1_0,esk2_0,X1,esk3_0,X2),esk12_5(esk1_0,esk2_0,X1,esk3_0,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_9]),c_0_10])]) ).
cnf(c_0_33,negated_conjecture,
( isomorphism(esk1_0,esk2_0,X1,esk3_0,X2)
| apply(inverse_function(esk1_0,esk2_0,X3),esk13_5(esk1_0,esk2_0,X1,esk3_0,X2),esk12_5(esk1_0,esk2_0,X1,esk3_0,X2))
| ~ member(esk13_5(esk1_0,esk2_0,X1,esk3_0,X2),X3) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
( isomorphism(esk1_0,esk2_0,X1,esk3_0,X2)
| member(esk13_5(esk1_0,esk2_0,X1,esk3_0,X2),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_9]),c_0_10])]) ).
cnf(c_0_35,negated_conjecture,
( isomorphism(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0)
| isomorphism(esk1_0,esk2_0,X1,esk3_0,esk5_0)
| apply(X1,esk10_5(esk1_0,esk2_0,X1,esk3_0,esk5_0),esk12_5(esk1_0,esk2_0,X1,esk3_0,esk5_0))
| apply(esk4_0,esk10_5(esk1_0,esk2_0,X1,esk3_0,esk5_0),X2)
| ~ apply(inverse_function(esk1_0,esk2_0,esk3_0),esk13_5(esk1_0,esk2_0,X1,esk3_0,esk5_0),X2)
| ~ member(esk11_5(esk1_0,esk2_0,X1,esk3_0,esk5_0),esk3_0)
| ~ member(esk10_5(esk1_0,esk2_0,X1,esk3_0,esk5_0),esk2_0)
| ~ member(esk13_5(esk1_0,esk2_0,X1,esk3_0,esk5_0),esk3_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
( isomorphism(esk1_0,esk2_0,X1,esk3_0,X2)
| apply(inverse_function(esk1_0,esk2_0,esk3_0),esk13_5(esk1_0,esk2_0,X1,esk3_0,X2),esk12_5(esk1_0,esk2_0,X1,esk3_0,X2)) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,negated_conjecture,
( isomorphism(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0)
| isomorphism(esk1_0,esk2_0,X1,esk3_0,esk5_0)
| apply(esk4_0,esk10_5(esk1_0,esk2_0,X1,esk3_0,esk5_0),esk12_5(esk1_0,esk2_0,X1,esk3_0,esk5_0))
| apply(X1,esk10_5(esk1_0,esk2_0,X1,esk3_0,esk5_0),esk12_5(esk1_0,esk2_0,X1,esk3_0,esk5_0))
| ~ member(esk11_5(esk1_0,esk2_0,X1,esk3_0,esk5_0),esk3_0)
| ~ member(esk10_5(esk1_0,esk2_0,X1,esk3_0,esk5_0),esk2_0)
| ~ member(esk13_5(esk1_0,esk2_0,X1,esk3_0,esk5_0),esk3_0)
| ~ member(esk12_5(esk1_0,esk2_0,X1,esk3_0,esk5_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_38,negated_conjecture,
( isomorphism(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0)
| isomorphism(esk1_0,esk2_0,X1,esk3_0,esk5_0)
| apply(esk4_0,esk10_5(esk1_0,esk2_0,X1,esk3_0,esk5_0),esk12_5(esk1_0,esk2_0,X1,esk3_0,esk5_0))
| apply(X1,esk10_5(esk1_0,esk2_0,X1,esk3_0,esk5_0),esk12_5(esk1_0,esk2_0,X1,esk3_0,esk5_0))
| ~ member(esk10_5(esk1_0,esk2_0,X1,esk3_0,esk5_0),esk2_0)
| ~ member(esk13_5(esk1_0,esk2_0,X1,esk3_0,esk5_0),esk3_0)
| ~ member(esk12_5(esk1_0,esk2_0,X1,esk3_0,esk5_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_22]) ).
cnf(c_0_39,negated_conjecture,
( isomorphism(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0)
| isomorphism(esk1_0,esk2_0,X1,esk3_0,esk5_0)
| apply(esk4_0,esk10_5(esk1_0,esk2_0,X1,esk3_0,esk5_0),esk12_5(esk1_0,esk2_0,X1,esk3_0,esk5_0))
| apply(X1,esk10_5(esk1_0,esk2_0,X1,esk3_0,esk5_0),esk12_5(esk1_0,esk2_0,X1,esk3_0,esk5_0))
| ~ member(esk13_5(esk1_0,esk2_0,X1,esk3_0,esk5_0),esk3_0)
| ~ member(esk12_5(esk1_0,esk2_0,X1,esk3_0,esk5_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_16]) ).
cnf(c_0_40,negated_conjecture,
( isomorphism(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0)
| isomorphism(esk1_0,esk2_0,X1,esk3_0,esk5_0)
| apply(esk4_0,esk10_5(esk1_0,esk2_0,X1,esk3_0,esk5_0),esk12_5(esk1_0,esk2_0,X1,esk3_0,esk5_0))
| apply(X1,esk10_5(esk1_0,esk2_0,X1,esk3_0,esk5_0),esk12_5(esk1_0,esk2_0,X1,esk3_0,esk5_0))
| ~ member(esk12_5(esk1_0,esk2_0,X1,esk3_0,esk5_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_34]) ).
cnf(c_0_41,negated_conjecture,
( isomorphism(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0)
| increasing(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_42,negated_conjecture,
( isomorphism(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0)
| isomorphism(esk1_0,esk2_0,X1,esk3_0,esk5_0)
| apply(esk4_0,esk10_5(esk1_0,esk2_0,X1,esk3_0,esk5_0),esk12_5(esk1_0,esk2_0,X1,esk3_0,esk5_0))
| apply(X1,esk10_5(esk1_0,esk2_0,X1,esk3_0,esk5_0),esk12_5(esk1_0,esk2_0,X1,esk3_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_40,c_0_29]) ).
cnf(c_0_43,negated_conjecture,
( isomorphism(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0)
| apply(esk5_0,X1,X2)
| ~ apply(esk4_0,X3,X4)
| ~ apply(esk1_0,X3,X1)
| ~ apply(esk1_0,X4,X2)
| ~ member(X3,esk2_0)
| ~ member(X4,esk2_0)
| ~ member(X2,esk3_0)
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_41]) ).
cnf(c_0_44,negated_conjecture,
( isomorphism(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0)
| apply(esk4_0,esk10_5(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0),esk12_5(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0)) ),
inference(ef,[status(thm)],[c_0_42]) ).
cnf(c_0_45,negated_conjecture,
( isomorphism(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0)
| apply(esk5_0,X1,X2)
| ~ apply(esk1_0,esk10_5(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0),X1)
| ~ apply(esk1_0,esk12_5(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0),X2)
| ~ member(esk10_5(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0),esk2_0)
| ~ member(esk12_5(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0),esk2_0)
| ~ member(X2,esk3_0)
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_46,negated_conjecture,
( isomorphism(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0)
| apply(esk5_0,X1,X2)
| ~ apply(esk1_0,esk10_5(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0),X1)
| ~ apply(esk1_0,esk12_5(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0),X2)
| ~ member(esk12_5(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0),esk2_0)
| ~ member(X2,esk3_0)
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_16]) ).
cnf(c_0_47,negated_conjecture,
( isomorphism(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0)
| apply(esk5_0,X1,X2)
| ~ apply(esk1_0,esk10_5(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0),X1)
| ~ apply(esk1_0,esk12_5(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0),X2)
| ~ member(X2,esk3_0)
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_29]) ).
cnf(c_0_48,negated_conjecture,
( isomorphism(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0)
| apply(esk5_0,esk11_5(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0),X1)
| ~ apply(esk1_0,esk12_5(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0),X1)
| ~ member(esk11_5(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0),esk3_0)
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_12]) ).
cnf(c_0_49,negated_conjecture,
( isomorphism(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0)
| apply(esk5_0,esk11_5(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0),X1)
| ~ apply(esk1_0,esk12_5(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0),X1)
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_22]) ).
cnf(c_0_50,negated_conjecture,
( isomorphism(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0)
| apply(esk5_0,esk11_5(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0),esk13_5(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0))
| ~ member(esk13_5(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0),esk3_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_23]) ).
cnf(c_0_51,plain,
( isomorphism(X1,X2,X3,X4,X5)
| ~ one_to_one(X1,X2,X4)
| ~ maps(X1,X2,X4)
| ~ apply(X5,esk11_5(X1,X2,X3,X4,X5),esk13_5(X1,X2,X3,X4,X5))
| ~ apply(X3,esk10_5(X1,X2,X3,X4,X5),esk12_5(X1,X2,X3,X4,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_52,negated_conjecture,
( isomorphism(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0)
| apply(esk5_0,esk11_5(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0),esk13_5(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_50,c_0_34]) ).
cnf(c_0_53,negated_conjecture,
( isomorphism(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0)
| ~ apply(esk4_0,esk10_5(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0),esk12_5(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_9]),c_0_10])]) ).
cnf(c_0_54,plain,
( apply(X5,X9,X7)
| ~ isomorphism(X1,X2,X3,X4,X5)
| ~ apply(X1,X6,X7)
| ~ apply(X1,X8,X9)
| ~ member(X7,X4)
| ~ member(X6,X2)
| ~ member(X9,X4)
| ~ member(X8,X2)
| ~ apply(X3,X8,X6) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_55,negated_conjecture,
isomorphism(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0),
inference(spm,[status(thm)],[c_0_53,c_0_44]) ).
cnf(c_0_56,plain,
( apply(X5,X3,X1)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(inverse_function(X5,X4,X2),X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_57,plain,
( increasing(X1,X2,X3,X4,X5)
| apply(X1,esk6_5(X1,X2,X3,X4,X5),esk7_5(X1,X2,X3,X4,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_58,negated_conjecture,
( apply(esk5_0,X1,X2)
| ~ apply(esk4_0,X3,X4)
| ~ apply(esk1_0,X3,X1)
| ~ apply(esk1_0,X4,X2)
| ~ member(X1,esk3_0)
| ~ member(X3,esk2_0)
| ~ member(X2,esk3_0)
| ~ member(X4,esk2_0) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_59,plain,
( increasing(X1,X2,X3,X4,X5)
| apply(X3,esk6_5(X1,X2,X3,X4,X5),esk8_5(X1,X2,X3,X4,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_60,plain,
( apply(X3,X8,X6)
| ~ isomorphism(X1,X2,X3,X4,X5)
| ~ apply(X1,X6,X7)
| ~ apply(X1,X8,X9)
| ~ member(X7,X4)
| ~ member(X6,X2)
| ~ member(X9,X4)
| ~ member(X8,X2)
| ~ apply(X5,X9,X7) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_61,plain,
( increasing(inverse_function(X1,X2,X3),X4,X5,X6,X7)
| apply(X1,esk7_5(inverse_function(X1,X2,X3),X4,X5,X6,X7),esk6_5(inverse_function(X1,X2,X3),X4,X5,X6,X7))
| ~ member(esk7_5(inverse_function(X1,X2,X3),X4,X5,X6,X7),X2)
| ~ member(esk6_5(inverse_function(X1,X2,X3),X4,X5,X6,X7),X3) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_62,plain,
( increasing(X1,X2,X3,X4,X5)
| member(esk7_5(X1,X2,X3,X4,X5),X4) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_63,plain,
( increasing(X1,X2,X3,X4,X5)
| apply(X1,esk8_5(X1,X2,X3,X4,X5),esk9_5(X1,X2,X3,X4,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_64,negated_conjecture,
( increasing(X1,X2,esk4_0,X3,X4)
| apply(esk5_0,X5,X6)
| ~ apply(esk1_0,esk6_5(X1,X2,esk4_0,X3,X4),X5)
| ~ apply(esk1_0,esk8_5(X1,X2,esk4_0,X3,X4),X6)
| ~ member(esk6_5(X1,X2,esk4_0,X3,X4),esk2_0)
| ~ member(esk8_5(X1,X2,esk4_0,X3,X4),esk2_0)
| ~ member(X5,esk3_0)
| ~ member(X6,esk3_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_65,negated_conjecture,
( apply(esk4_0,X1,X2)
| ~ apply(esk5_0,X3,X4)
| ~ apply(esk1_0,X1,X3)
| ~ apply(esk1_0,X2,X4)
| ~ member(X3,esk3_0)
| ~ member(X1,esk2_0)
| ~ member(X4,esk3_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_60,c_0_55]) ).
cnf(c_0_66,plain,
( increasing(inverse_function(X1,X2,X3),X4,X5,X2,X6)
| apply(X1,esk7_5(inverse_function(X1,X2,X3),X4,X5,X2,X6),esk6_5(inverse_function(X1,X2,X3),X4,X5,X2,X6))
| ~ member(esk6_5(inverse_function(X1,X2,X3),X4,X5,X2,X6),X3) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_67,plain,
( increasing(X1,X2,X3,X4,X5)
| member(esk6_5(X1,X2,X3,X4,X5),X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_68,plain,
( increasing(inverse_function(X1,X2,X3),X4,X5,X6,X7)
| apply(X1,esk9_5(inverse_function(X1,X2,X3),X4,X5,X6,X7),esk8_5(inverse_function(X1,X2,X3),X4,X5,X6,X7))
| ~ member(esk9_5(inverse_function(X1,X2,X3),X4,X5,X6,X7),X2)
| ~ member(esk8_5(inverse_function(X1,X2,X3),X4,X5,X6,X7),X3) ),
inference(spm,[status(thm)],[c_0_56,c_0_63]) ).
cnf(c_0_69,plain,
( increasing(X1,X2,X3,X4,X5)
| member(esk9_5(X1,X2,X3,X4,X5),X4) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_70,negated_conjecture,
( increasing(esk1_0,X1,esk4_0,X2,X3)
| apply(esk5_0,esk7_5(esk1_0,X1,esk4_0,X2,X3),X4)
| ~ apply(esk1_0,esk8_5(esk1_0,X1,esk4_0,X2,X3),X4)
| ~ member(esk6_5(esk1_0,X1,esk4_0,X2,X3),esk2_0)
| ~ member(esk8_5(esk1_0,X1,esk4_0,X2,X3),esk2_0)
| ~ member(esk7_5(esk1_0,X1,esk4_0,X2,X3),esk3_0)
| ~ member(X4,esk3_0) ),
inference(spm,[status(thm)],[c_0_64,c_0_57]) ).
cnf(c_0_71,negated_conjecture,
( increasing(X1,X2,esk5_0,X3,X4)
| apply(esk4_0,X5,X6)
| ~ apply(esk1_0,X5,esk6_5(X1,X2,esk5_0,X3,X4))
| ~ apply(esk1_0,X6,esk8_5(X1,X2,esk5_0,X3,X4))
| ~ member(esk6_5(X1,X2,esk5_0,X3,X4),esk3_0)
| ~ member(esk8_5(X1,X2,esk5_0,X3,X4),esk3_0)
| ~ member(X5,esk2_0)
| ~ member(X6,esk2_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_59]) ).
cnf(c_0_72,plain,
( increasing(inverse_function(X1,X2,X3),X3,X4,X2,X5)
| apply(X1,esk7_5(inverse_function(X1,X2,X3),X3,X4,X2,X5),esk6_5(inverse_function(X1,X2,X3),X3,X4,X2,X5)) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_73,plain,
( increasing(inverse_function(X1,X2,X3),X4,X5,X2,X6)
| apply(X1,esk9_5(inverse_function(X1,X2,X3),X4,X5,X2,X6),esk8_5(inverse_function(X1,X2,X3),X4,X5,X2,X6))
| ~ member(esk8_5(inverse_function(X1,X2,X3),X4,X5,X2,X6),X3) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_74,plain,
( increasing(X1,X2,X3,X4,X5)
| member(esk8_5(X1,X2,X3,X4,X5),X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_75,negated_conjecture,
( increasing(esk1_0,X1,esk4_0,X2,X3)
| apply(esk5_0,esk7_5(esk1_0,X1,esk4_0,X2,X3),esk9_5(esk1_0,X1,esk4_0,X2,X3))
| ~ member(esk6_5(esk1_0,X1,esk4_0,X2,X3),esk2_0)
| ~ member(esk8_5(esk1_0,X1,esk4_0,X2,X3),esk2_0)
| ~ member(esk7_5(esk1_0,X1,esk4_0,X2,X3),esk3_0)
| ~ member(esk9_5(esk1_0,X1,esk4_0,X2,X3),esk3_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_63]) ).
cnf(c_0_76,negated_conjecture,
( increasing(inverse_function(esk1_0,X1,X2),X2,esk5_0,X1,X3)
| apply(esk4_0,esk7_5(inverse_function(esk1_0,X1,X2),X2,esk5_0,X1,X3),X4)
| ~ apply(esk1_0,X4,esk8_5(inverse_function(esk1_0,X1,X2),X2,esk5_0,X1,X3))
| ~ member(esk6_5(inverse_function(esk1_0,X1,X2),X2,esk5_0,X1,X3),esk3_0)
| ~ member(esk8_5(inverse_function(esk1_0,X1,X2),X2,esk5_0,X1,X3),esk3_0)
| ~ member(esk7_5(inverse_function(esk1_0,X1,X2),X2,esk5_0,X1,X3),esk2_0)
| ~ member(X4,esk2_0) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_77,plain,
( increasing(inverse_function(X1,X2,X3),X3,X4,X2,X5)
| apply(X1,esk9_5(inverse_function(X1,X2,X3),X3,X4,X2,X5),esk8_5(inverse_function(X1,X2,X3),X3,X4,X2,X5)) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_78,negated_conjecture,
( increasing(esk1_0,esk2_0,esk4_0,X1,X2)
| apply(esk5_0,esk7_5(esk1_0,esk2_0,esk4_0,X1,X2),esk9_5(esk1_0,esk2_0,esk4_0,X1,X2))
| ~ member(esk8_5(esk1_0,esk2_0,esk4_0,X1,X2),esk2_0)
| ~ member(esk7_5(esk1_0,esk2_0,esk4_0,X1,X2),esk3_0)
| ~ member(esk9_5(esk1_0,esk2_0,esk4_0,X1,X2),esk3_0) ),
inference(spm,[status(thm)],[c_0_75,c_0_67]) ).
cnf(c_0_79,negated_conjecture,
( increasing(inverse_function(esk1_0,X1,X2),X2,esk5_0,X1,X3)
| apply(esk4_0,esk7_5(inverse_function(esk1_0,X1,X2),X2,esk5_0,X1,X3),esk9_5(inverse_function(esk1_0,X1,X2),X2,esk5_0,X1,X3))
| ~ member(esk6_5(inverse_function(esk1_0,X1,X2),X2,esk5_0,X1,X3),esk3_0)
| ~ member(esk8_5(inverse_function(esk1_0,X1,X2),X2,esk5_0,X1,X3),esk3_0)
| ~ member(esk7_5(inverse_function(esk1_0,X1,X2),X2,esk5_0,X1,X3),esk2_0)
| ~ member(esk9_5(inverse_function(esk1_0,X1,X2),X2,esk5_0,X1,X3),esk2_0) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_80,negated_conjecture,
( increasing(esk1_0,esk2_0,esk4_0,X1,X2)
| apply(esk5_0,esk7_5(esk1_0,esk2_0,esk4_0,X1,X2),esk9_5(esk1_0,esk2_0,esk4_0,X1,X2))
| ~ member(esk7_5(esk1_0,esk2_0,esk4_0,X1,X2),esk3_0)
| ~ member(esk9_5(esk1_0,esk2_0,esk4_0,X1,X2),esk3_0) ),
inference(spm,[status(thm)],[c_0_78,c_0_74]) ).
cnf(c_0_81,negated_conjecture,
( increasing(inverse_function(esk1_0,X1,esk3_0),esk3_0,esk5_0,X1,X2)
| apply(esk4_0,esk7_5(inverse_function(esk1_0,X1,esk3_0),esk3_0,esk5_0,X1,X2),esk9_5(inverse_function(esk1_0,X1,esk3_0),esk3_0,esk5_0,X1,X2))
| ~ member(esk8_5(inverse_function(esk1_0,X1,esk3_0),esk3_0,esk5_0,X1,X2),esk3_0)
| ~ member(esk7_5(inverse_function(esk1_0,X1,esk3_0),esk3_0,esk5_0,X1,X2),esk2_0)
| ~ member(esk9_5(inverse_function(esk1_0,X1,esk3_0),esk3_0,esk5_0,X1,X2),esk2_0) ),
inference(spm,[status(thm)],[c_0_79,c_0_67]) ).
cnf(c_0_82,negated_conjecture,
( increasing(esk1_0,esk2_0,esk4_0,esk3_0,X1)
| apply(esk5_0,esk7_5(esk1_0,esk2_0,esk4_0,esk3_0,X1),esk9_5(esk1_0,esk2_0,esk4_0,esk3_0,X1))
| ~ member(esk9_5(esk1_0,esk2_0,esk4_0,esk3_0,X1),esk3_0) ),
inference(spm,[status(thm)],[c_0_80,c_0_62]) ).
cnf(c_0_83,negated_conjecture,
( increasing(inverse_function(esk1_0,X1,esk3_0),esk3_0,esk5_0,X1,X2)
| apply(esk4_0,esk7_5(inverse_function(esk1_0,X1,esk3_0),esk3_0,esk5_0,X1,X2),esk9_5(inverse_function(esk1_0,X1,esk3_0),esk3_0,esk5_0,X1,X2))
| ~ member(esk7_5(inverse_function(esk1_0,X1,esk3_0),esk3_0,esk5_0,X1,X2),esk2_0)
| ~ member(esk9_5(inverse_function(esk1_0,X1,esk3_0),esk3_0,esk5_0,X1,X2),esk2_0) ),
inference(spm,[status(thm)],[c_0_81,c_0_74]) ).
cnf(c_0_84,negated_conjecture,
( ~ increasing(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk5_0,esk2_0,esk4_0)
| ~ increasing(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0)
| ~ isomorphism(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_85,plain,
( increasing(X1,X2,X3,X4,X5)
| ~ apply(X5,esk7_5(X1,X2,X3,X4,X5),esk9_5(X1,X2,X3,X4,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_86,negated_conjecture,
( increasing(esk1_0,esk2_0,esk4_0,esk3_0,X1)
| apply(esk5_0,esk7_5(esk1_0,esk2_0,esk4_0,esk3_0,X1),esk9_5(esk1_0,esk2_0,esk4_0,esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_82,c_0_69]) ).
cnf(c_0_87,negated_conjecture,
( increasing(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk5_0,esk2_0,X1)
| apply(esk4_0,esk7_5(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk5_0,esk2_0,X1),esk9_5(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk5_0,esk2_0,X1))
| ~ member(esk9_5(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk5_0,esk2_0,X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_83,c_0_62]) ).
cnf(c_0_88,negated_conjecture,
( ~ increasing(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk5_0,esk2_0,esk4_0)
| ~ increasing(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_55])]) ).
cnf(c_0_89,negated_conjecture,
increasing(esk1_0,esk2_0,esk4_0,esk3_0,esk5_0),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_90,negated_conjecture,
( increasing(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk5_0,esk2_0,X1)
| apply(esk4_0,esk7_5(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk5_0,esk2_0,X1),esk9_5(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk5_0,esk2_0,X1)) ),
inference(spm,[status(thm)],[c_0_87,c_0_69]) ).
cnf(c_0_91,negated_conjecture,
~ increasing(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk5_0,esk2_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_89])]) ).
cnf(c_0_92,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_90]),c_0_91]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET750+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.03/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 18:13:58 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.33/23.40 eprover: CPU time limit exceeded, terminating
% 0.33/23.40 eprover: CPU time limit exceeded, terminating
% 0.33/23.41 eprover: CPU time limit exceeded, terminating
% 0.33/23.42 eprover: CPU time limit exceeded, terminating
% 0.45/46.42 eprover: CPU time limit exceeded, terminating
% 0.45/46.42 eprover: CPU time limit exceeded, terminating
% 0.45/46.44 eprover: CPU time limit exceeded, terminating
% 0.45/46.48 eprover: CPU time limit exceeded, terminating
% 0.57/69.45 eprover: CPU time limit exceeded, terminating
% 0.57/69.46 eprover: CPU time limit exceeded, terminating
% 0.57/69.46 eprover: CPU time limit exceeded, terminating
% 0.57/69.48 eprover: CPU time limit exceeded, terminating
% 0.68/92.47 eprover: CPU time limit exceeded, terminating
% 0.68/92.47 eprover: CPU time limit exceeded, terminating
% 0.68/92.50 eprover: CPU time limit exceeded, terminating
% 0.68/92.50 eprover: CPU time limit exceeded, terminating
% 0.80/115.49 eprover: CPU time limit exceeded, terminating
% 0.80/115.51 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.80/115.51
% 0.80/115.52 eprover: CPU time limit exceeded, terminating
% 0.81/119.00 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.81/119.00
% 0.81/119.00 # Failure: Resource limit exceeded (time)
% 0.81/119.00 # OLD status Res
% 0.81/119.00 # Preprocessing time : 0.023 s
% 0.81/119.00 # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 0.81/119.00
% 0.81/119.00 # Failure: Resource limit exceeded (time)
% 0.81/119.00 # OLD status Res
% 0.81/119.00 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 0.81/119.00 # Preprocessing time : 0.020 s
% 0.81/119.00 # Running protocol protocol_eprover_75515770aeb32f68e33e9fbd9dff93f5a2e34f2e for 23 seconds:
% 0.81/119.00
% 0.81/119.00 # Failure: Resource limit exceeded (time)
% 0.81/119.00 # OLD status Res
% 0.81/119.00 # Preprocessing time : 0.024 s
% 0.81/119.00 # Running protocol protocol_eprover_6c565d2524e660970ec2a72c26d577f665a55420 for 23 seconds:
% 0.81/119.00
% 0.81/119.00 # Failure: Resource limit exceeded (time)
% 0.81/119.00 # OLD status Res
% 0.81/119.00 # Preprocessing time : 0.012 s
% 0.81/119.00 # Running protocol protocol_eprover_750456fc664a9e0b97096ad0f5110b1ead7d782b for 23 seconds:
% 0.81/119.00
% 0.81/119.00 # Failure: Resource limit exceeded (time)
% 0.81/119.00 # OLD status Res
% 0.81/119.00 # Preprocessing time : 0.025 s
% 0.81/119.00 # Running protocol protocol_eprover_a9abcacdf80c460fdc9fe242616d68da2308faf5 for 23 seconds:
% 0.81/119.00 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,02,500,1.0)
% 0.81/119.00 # Preprocessing time : 0.016 s
% 0.81/119.00
% 0.81/119.00 # Proof found!
% 0.81/119.00 # SZS status Theorem
% 0.81/119.00 # SZS output start CNFRefutation
% See solution above
% 0.81/119.00 # Proof object total steps : 93
% 0.81/119.00 # Proof object clause steps : 84
% 0.81/119.00 # Proof object formula steps : 9
% 0.81/119.00 # Proof object conjectures : 60
% 0.81/119.00 # Proof object clause conjectures : 57
% 0.81/119.00 # Proof object formula conjectures : 3
% 0.81/119.00 # Proof object initial clauses used : 26
% 0.81/119.00 # Proof object initial formulas used : 4
% 0.81/119.00 # Proof object generating inferences : 56
% 0.81/119.00 # Proof object simplifying inferences : 22
% 0.81/119.00 # Training examples: 0 positive, 0 negative
% 0.81/119.00 # Parsed axioms : 29
% 0.81/119.00 # Removed by relevancy pruning/SinE : 24
% 0.81/119.00 # Initial clauses : 43
% 0.81/119.00 # Removed in clause preprocessing : 0
% 0.81/119.00 # Initial clauses in saturation : 43
% 0.81/119.00 # Processed clauses : 14634
% 0.81/119.00 # ...of these trivial : 0
% 0.81/119.00 # ...subsumed : 7041
% 0.81/119.00 # ...remaining for further processing : 7593
% 0.81/119.00 # Other redundant clauses eliminated : 0
% 0.81/119.00 # Clauses deleted for lack of memory : 0
% 0.81/119.00 # Backward-subsumed : 1120
% 0.81/119.00 # Backward-rewritten : 1543
% 0.81/119.00 # Generated clauses : 24149
% 0.81/119.00 # ...of the previous two non-trivial : 23867
% 0.81/119.00 # Contextual simplify-reflections : 0
% 0.81/119.00 # Paramodulations : 24147
% 0.81/119.00 # Factorizations : 2
% 0.81/119.00 # Equation resolutions : 0
% 0.81/119.00 # Current number of processed clauses : 4930
% 0.81/119.00 # Positive orientable unit clauses : 31
% 0.81/119.00 # Positive unorientable unit clauses: 0
% 0.81/119.00 # Negative unit clauses : 1
% 0.81/119.00 # Non-unit-clauses : 4898
% 0.81/119.00 # Current number of unprocessed clauses: 3074
% 0.81/119.00 # ...number of literals in the above : 20645
% 0.81/119.00 # Current number of archived formulas : 0
% 0.81/119.00 # Current number of archived clauses : 2663
% 0.81/119.00 # Clause-clause subsumption calls (NU) : 5571715
% 0.81/119.00 # Rec. Clause-clause subsumption calls : 774912
% 0.81/119.00 # Non-unit clause-clause subsumptions : 8161
% 0.81/119.00 # Unit Clause-clause subsumption calls : 2584
% 0.81/119.00 # Rewrite failures with RHS unbound : 0
% 0.81/119.00 # BW rewrite match attempts : 2965
% 0.81/119.00 # BW rewrite match successes : 4
% 0.81/119.00 # Condensation attempts : 0
% 0.81/119.00 # Condensation successes : 0
% 0.81/119.00 # Termbank termtop insertions : 3425091
% 0.81/119.00
% 0.81/119.00 # -------------------------------------------------
% 0.81/119.00 # User time : 3.051 s
% 0.81/119.00 # System time : 0.018 s
% 0.81/119.00 # Total time : 3.069 s
% 0.81/119.00 # Maximum resident set size: 32504 pages
% 0.81/138.52 eprover: CPU time limit exceeded, terminating
% 0.81/138.52 eprover: CPU time limit exceeded, terminating
% 0.81/138.53 eprover: CPU time limit exceeded, terminating
% 0.81/138.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.81/138.54 eprover: No such file or directory
% 0.81/138.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.81/138.54 eprover: No such file or directory
% 0.81/138.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.81/138.54 eprover: No such file or directory
% 0.81/138.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.81/138.55 eprover: No such file or directory
% 0.81/138.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.81/138.55 eprover: No such file or directory
% 0.81/138.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.81/138.55 eprover: No such file or directory
% 0.81/138.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.81/138.55 eprover: No such file or directory
% 0.81/138.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.81/138.55 eprover: No such file or directory
% 0.81/138.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.81/138.55 eprover: No such file or directory
% 0.81/138.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.81/138.55 eprover: No such file or directory
% 0.81/138.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.81/138.56 eprover: No such file or directory
% 0.81/138.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.81/138.56 eprover: No such file or directory
% 0.81/138.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.81/138.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.81/138.56 eprover: No such file or directory
% 0.81/138.56 eprover: No such file or directory
% 0.81/138.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.81/138.56 eprover: No such file or directory
% 0.81/138.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.81/138.56 eprover: No such file or directory
% 0.81/138.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.81/138.57 eprover: No such file or directory
% 0.81/138.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.81/138.57 eprover: No such file or directory
%------------------------------------------------------------------------------