%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SYN551+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n019.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 : Thu Jul 21 06:03:41 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 1
% Syntax : Number of formulae : 110 ( 7 unt; 0 def)
% Number of atoms : 500 ( 499 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 479 ( 89 ~; 377 |; 7 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 194 ( 11 sgn 10 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this_cute_thing,conjecture,
( ? [X1] :
! [X2] :
( X2 = f(g(X2))
<=> X1 = X2 )
<=> ? [X1] :
! [X2] :
( X2 = g(f(X2))
<=> X1 = X2 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',prove_this_cute_thing) ).
fof(c_0_1,negated_conjecture,
~ ( ? [X1] :
! [X2] :
( X2 = f(g(X2))
<=> X1 = X2 )
<=> ? [X1] :
! [X2] :
( X2 = g(f(X2))
<=> X1 = X2 ) ),
inference(assume_negation,[status(cth)],[prove_this_cute_thing]) ).
fof(c_0_2,negated_conjecture,
! [X3,X5,X8,X8,X10,X10] :
( ( esk2_1(X5) != g(f(esk2_1(X5)))
| X5 != esk2_1(X5)
| esk1_1(X3) != f(g(esk1_1(X3)))
| X3 != esk1_1(X3) )
& ( esk2_1(X5) = g(f(esk2_1(X5)))
| X5 = esk2_1(X5)
| esk1_1(X3) != f(g(esk1_1(X3)))
| X3 != esk1_1(X3) )
& ( esk2_1(X5) != g(f(esk2_1(X5)))
| X5 != esk2_1(X5)
| esk1_1(X3) = f(g(esk1_1(X3)))
| X3 = esk1_1(X3) )
& ( esk2_1(X5) = g(f(esk2_1(X5)))
| X5 = esk2_1(X5)
| esk1_1(X3) = f(g(esk1_1(X3)))
| X3 = esk1_1(X3) )
& ( X10 != g(f(X10))
| esk4_0 = X10
| X8 != f(g(X8))
| esk3_0 = X8 )
& ( esk4_0 != X10
| X10 = g(f(X10))
| X8 != f(g(X8))
| esk3_0 = X8 )
& ( X10 != g(f(X10))
| esk4_0 = X10
| esk3_0 != X8
| X8 = f(g(X8)) )
& ( esk4_0 != X10
| X10 = g(f(X10))
| esk3_0 != X8
| X8 = f(g(X8)) ) ),
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)],[c_0_1])])])])])])]) ).
cnf(c_0_3,negated_conjecture,
( esk3_0 = X1
| X2 = g(f(X2))
| X1 != f(g(X1))
| esk4_0 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( X1 = esk1_1(X1)
| esk1_1(X1) = f(g(esk1_1(X1)))
| X2 = esk2_1(X2)
| esk2_1(X2) = g(f(esk2_1(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| g(f(X2)) = X2
| esk1_1(X3) = esk3_0
| esk2_1(X1) = X1
| esk1_1(X3) = X3
| esk4_0 != X2 ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_6,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| g(f(esk4_0)) = esk4_0
| esk1_1(X2) = esk3_0
| esk1_1(X2) = X2
| esk2_1(X1) = X1 ),
inference(er,[status(thm)],[c_0_5]) ).
cnf(c_0_7,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| g(f(esk4_0)) = esk4_0
| esk1_1(X2) = esk3_0
| esk2_1(X1) = X1
| X2 != esk3_0 ),
inference(ef,[status(thm)],[c_0_6]) ).
cnf(c_0_8,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| g(f(esk4_0)) = esk4_0
| esk1_1(esk3_0) = esk3_0
| esk2_1(X1) = X1 ),
inference(er,[status(thm)],[c_0_7]) ).
cnf(c_0_9,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| f(esk2_1(X1)) = esk3_0
| esk1_1(esk3_0) = esk3_0
| g(f(X2)) = X2
| esk2_1(X1) = X1
| esk4_0 != X2 ),
inference(spm,[status(thm)],[c_0_3,c_0_8]) ).
cnf(c_0_10,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| f(esk2_1(X1)) = esk3_0
| esk1_1(esk3_0) = esk3_0
| esk2_1(X1) = X1 ),
inference(er,[status(thm)],[c_0_9]) ).
cnf(c_0_11,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| esk2_1(X1) = g(esk3_0)
| esk1_1(esk3_0) = esk3_0
| esk2_1(X1) = X1 ),
inference(spm,[status(thm)],[c_0_8,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
( X1 = esk1_1(X1)
| esk1_1(X1) = f(g(esk1_1(X1)))
| X2 != esk2_1(X2)
| esk2_1(X2) != g(f(esk2_1(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| esk2_1(X1) = g(esk3_0)
| esk1_1(esk3_0) = esk3_0
| X1 != g(esk3_0) ),
inference(ef,[status(thm)],[c_0_11]) ).
cnf(c_0_14,negated_conjecture,
( X1 = f(g(X1))
| X2 = g(f(X2))
| esk3_0 != X1
| esk4_0 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_15,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| g(f(esk4_0)) = esk4_0
| esk1_1(esk3_0) = esk3_0
| esk1_1(X1) = X1
| g(f(g(esk3_0))) != g(esk3_0)
| g(esk3_0) != X2 ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| g(f(X1)) = X1
| esk4_0 != X1 ),
inference(er,[status(thm)],[c_0_14]) ).
cnf(c_0_17,negated_conjecture,
( X1 = f(g(X1))
| esk4_0 = X2
| esk3_0 != X1
| X2 != g(f(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_18,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| g(f(esk4_0)) = esk4_0
| esk1_1(esk3_0) = esk3_0
| esk1_1(X1) = X1
| g(f(g(esk3_0))) != g(esk3_0) ),
inference(er,[status(thm)],[c_0_15]) ).
cnf(c_0_19,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| f(g(esk3_0)) = esk3_0 ),
inference(er,[status(thm)],[c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| f(g(X2)) = X2
| esk2_1(X3) = esk4_0
| esk2_1(X3) = X3
| esk1_1(X1) = X1
| esk3_0 != X2 ),
inference(spm,[status(thm)],[c_0_17,c_0_4]) ).
cnf(c_0_21,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| g(f(esk4_0)) = esk4_0
| esk1_1(esk3_0) = esk3_0
| esk1_1(X1) = X1 ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| f(g(esk3_0)) = esk3_0
| esk2_1(X2) = esk4_0
| esk1_1(X1) = X1
| esk2_1(X2) = X2 ),
inference(er,[status(thm)],[c_0_20]) ).
cnf(c_0_23,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| esk1_1(esk3_0) = esk3_0
| g(f(X1)) = X1
| esk1_1(X2) = esk3_0
| esk1_1(X2) = X2
| esk4_0 != X1 ),
inference(spm,[status(thm)],[c_0_3,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| f(g(esk3_0)) = esk3_0
| esk2_1(X2) = X2
| esk1_1(X1) = X1
| esk4_0 != X2 ),
inference(ef,[status(thm)],[c_0_22]) ).
cnf(c_0_25,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| esk1_1(esk3_0) = esk3_0
| esk1_1(X1) = esk3_0
| esk1_1(X1) = X1 ),
inference(er,[status(thm)],[c_0_23]) ).
cnf(c_0_26,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| f(g(esk3_0)) = esk3_0
| esk2_1(esk4_0) = esk4_0
| esk1_1(X1) = X1 ),
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_27,negated_conjecture,
( X2 = esk2_1(X2)
| esk2_1(X2) = g(f(esk2_1(X2)))
| X1 != esk1_1(X1)
| esk1_1(X1) != f(g(esk1_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_28,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| esk1_1(esk3_0) = esk3_0 ),
inference(ef,[status(thm)],[c_0_25]) ).
cnf(c_0_29,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| f(g(esk1_1(X2))) = esk1_1(X2)
| f(g(esk3_0)) = esk3_0
| esk1_1(X1) = X1
| esk1_1(X2) = X2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_26]),c_0_19]) ).
cnf(c_0_30,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| g(f(esk4_0)) = esk4_0
| esk2_1(X1) = X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_19]) ).
cnf(c_0_31,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| g(esk1_1(X1)) = esk4_0
| f(g(X2)) = X2
| esk2_1(X3) = esk4_0
| esk2_1(X3) = X3
| esk1_1(X1) = X1
| esk3_0 != X2 ),
inference(spm,[status(thm)],[c_0_17,c_0_22]) ).
cnf(c_0_32,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| f(g(esk3_0)) = esk3_0
| esk1_1(X1) = X1 ),
inference(ef,[status(thm)],[c_0_29]) ).
cnf(c_0_33,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| f(esk2_1(X1)) = esk3_0
| g(f(X2)) = X2
| esk2_1(X1) = X1
| esk4_0 != X2 ),
inference(spm,[status(thm)],[c_0_3,c_0_30]) ).
cnf(c_0_34,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| g(esk1_1(X1)) = esk4_0
| esk2_1(X2) = esk4_0
| esk1_1(X1) = X1
| esk2_1(X2) = X2 ),
inference(er,[status(thm)],[c_0_31]) ).
cnf(c_0_35,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| g(esk1_1(X1)) = esk4_0
| f(g(X2)) = X2
| esk1_1(X1) = X1
| esk3_0 != X2 ),
inference(spm,[status(thm)],[c_0_17,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| f(esk2_1(X1)) = esk3_0
| esk2_1(X1) = X1 ),
inference(er,[status(thm)],[c_0_33]) ).
cnf(c_0_37,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| g(esk1_1(X1)) = esk4_0
| esk2_1(X2) = esk4_0
| esk1_1(X1) = X1
| X2 != esk4_0 ),
inference(ef,[status(thm)],[c_0_34]) ).
cnf(c_0_38,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| g(esk1_1(X1)) = esk4_0
| esk1_1(X1) = X1 ),
inference(er,[status(thm)],[c_0_35]) ).
cnf(c_0_39,negated_conjecture,
( X1 != esk1_1(X1)
| esk1_1(X1) != f(g(esk1_1(X1)))
| X2 != esk2_1(X2)
| esk2_1(X2) != g(f(esk2_1(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_40,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| esk2_1(X1) = g(esk3_0)
| esk2_1(X1) = X1 ),
inference(spm,[status(thm)],[c_0_30,c_0_36]) ).
cnf(c_0_41,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| g(esk1_1(X1)) = esk4_0
| esk2_1(esk4_0) = esk4_0
| esk1_1(X1) = X1 ),
inference(er,[status(thm)],[c_0_37]) ).
cnf(c_0_42,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| esk1_1(X1) = f(esk4_0)
| esk1_1(X1) = X1 ),
inference(spm,[status(thm)],[c_0_32,c_0_38]) ).
cnf(c_0_43,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| g(f(esk2_1(X1))) != esk2_1(X1)
| esk2_1(X1) != X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_28]),c_0_19]) ).
cnf(c_0_44,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| esk2_1(X1) = g(esk3_0)
| X1 != g(esk3_0) ),
inference(ef,[status(thm)],[c_0_40]) ).
cnf(c_0_45,negated_conjecture,
( esk3_0 = X1
| esk4_0 = X2
| X1 != f(g(X1))
| X2 != g(f(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_46,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| esk1_1(X1) = f(esk4_0)
| esk2_1(esk4_0) = esk4_0
| esk1_1(X1) = X1 ),
inference(spm,[status(thm)],[c_0_26,c_0_41]) ).
cnf(c_0_47,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| esk1_1(X1) = f(esk4_0)
| X1 != f(esk4_0) ),
inference(ef,[status(thm)],[c_0_42]) ).
cnf(c_0_48,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| g(f(g(esk3_0))) != g(esk3_0)
| g(esk3_0) != X1 ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| g(esk1_1(X2)) = esk4_0
| esk2_1(X1) = X1
| esk1_1(X2) = X2
| esk3_0 = X3
| f(g(X3)) != X3 ),
inference(spm,[status(thm)],[c_0_45,c_0_4]) ).
cnf(c_0_50,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| esk2_1(X2) = esk4_0
| esk2_1(X2) = X2
| esk1_1(X1) = X1
| esk3_0 = X3
| f(g(X3)) != X3 ),
inference(spm,[status(thm)],[c_0_45,c_0_4]) ).
cnf(c_0_51,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| esk1_1(X1) = f(esk4_0)
| esk2_1(esk4_0) = esk4_0
| X1 != f(esk4_0) ),
inference(ef,[status(thm)],[c_0_46]) ).
cnf(c_0_52,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| esk1_1(X1) = X1
| f(esk4_0) != X1 ),
inference(ef,[status(thm)],[c_0_42]) ).
cnf(c_0_53,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| f(g(esk3_0)) = esk3_0
| esk2_1(X1) = X1
| f(g(f(esk4_0))) != f(esk4_0)
| f(esk4_0) != X2 ),
inference(spm,[status(thm)],[c_0_27,c_0_47]) ).
cnf(c_0_54,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| g(esk3_0) != X1 ),
inference(spm,[status(thm)],[c_0_48,c_0_19]) ).
cnf(c_0_55,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| g(f(esk2_1(X2))) = esk2_1(X2)
| g(esk1_1(X3)) = esk4_0
| esk1_1(X4) = esk3_0
| esk2_1(X1) = X1
| esk1_1(X4) = X4
| esk1_1(X3) = X3
| esk2_1(X2) = X2 ),
inference(spm,[status(thm)],[c_0_49,c_0_4]) ).
cnf(c_0_56,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| f(g(esk1_1(X2))) = esk1_1(X2)
| f(esk2_1(X3)) = esk3_0
| esk2_1(X4) = esk4_0
| esk2_1(X3) = X3
| esk1_1(X1) = X1
| esk1_1(X2) = X2
| esk2_1(X4) = X4 ),
inference(spm,[status(thm)],[c_0_50,c_0_4]) ).
cnf(c_0_57,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| f(g(f(esk4_0))) != f(esk4_0)
| g(f(esk2_1(X1))) != esk2_1(X1)
| f(esk4_0) != X2
| esk2_1(X1) != X1 ),
inference(spm,[status(thm)],[c_0_39,c_0_47]) ).
cnf(c_0_58,negated_conjecture,
( esk1_1(f(esk4_0)) = f(esk4_0)
| f(g(esk3_0)) = esk3_0
| esk2_1(esk4_0) = esk4_0 ),
inference(er,[status(thm)],[c_0_51]) ).
cnf(c_0_59,negated_conjecture,
( f(g(f(esk4_0))) = f(esk4_0)
| f(g(esk3_0)) = esk3_0
| esk1_1(X1) = X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_42]),c_0_52]) ).
cnf(c_0_60,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| f(g(esk3_0)) = esk3_0
| esk2_1(X1) = X1
| f(g(f(esk4_0))) != f(esk4_0) ),
inference(er,[status(thm)],[c_0_53]) ).
cnf(c_0_61,negated_conjecture,
g(f(esk4_0)) = esk4_0,
inference(er,[status(thm)],[c_0_54]) ).
cnf(c_0_62,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| g(esk1_1(X2)) = esk4_0
| esk1_1(X3) = esk3_0
| esk1_1(X2) = X2
| esk1_1(X3) = X3
| esk2_1(X1) = X1 ),
inference(ef,[status(thm)],[c_0_55]) ).
cnf(c_0_63,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| f(esk2_1(X2)) = esk3_0
| esk2_1(X3) = esk4_0
| esk2_1(X3) = X3
| esk1_1(X1) = X1
| esk2_1(X2) = X2 ),
inference(ef,[status(thm)],[c_0_56]) ).
cnf(c_0_64,negated_conjecture,
( esk1_1(f(esk4_0)) = f(esk4_0)
| f(g(esk3_0)) = esk3_0
| f(esk4_0) != X1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_19]),c_0_59]) ).
cnf(c_0_65,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| f(g(esk3_0)) = esk3_0
| esk2_1(X1) = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61])]) ).
cnf(c_0_66,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| g(f(esk2_1(X2))) = esk2_1(X2)
| esk1_1(X3) = f(esk4_0)
| esk1_1(X4) = esk3_0
| esk2_1(X1) = X1
| esk1_1(X4) = X4
| esk2_1(X2) = X2
| esk1_1(X3) = X3 ),
inference(spm,[status(thm)],[c_0_4,c_0_62]) ).
cnf(c_0_67,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| f(esk2_1(X2)) = esk3_0
| esk2_1(X2) = X2
| esk1_1(X1) = X1
| esk2_1(X3) = X3
| esk4_0 != X3 ),
inference(ef,[status(thm)],[c_0_63]) ).
cnf(c_0_68,negated_conjecture,
( esk1_1(f(esk4_0)) = f(esk4_0)
| f(g(esk3_0)) = esk3_0 ),
inference(er,[status(thm)],[c_0_64]) ).
cnf(c_0_69,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| f(g(X1)) = X1
| esk2_1(X2) = esk4_0
| esk2_1(X2) = X2
| esk3_0 != X1 ),
inference(spm,[status(thm)],[c_0_17,c_0_65]) ).
cnf(c_0_70,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| esk1_1(X2) = f(esk4_0)
| esk1_1(X3) = esk3_0
| esk1_1(X2) = X2
| esk1_1(X3) = X3
| esk2_1(X1) = X1 ),
inference(ef,[status(thm)],[c_0_66]) ).
cnf(c_0_71,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| f(esk2_1(X2)) = esk3_0
| esk2_1(esk4_0) = esk4_0
| esk1_1(X1) = X1
| esk2_1(X2) = X2 ),
inference(er,[status(thm)],[c_0_67]) ).
cnf(c_0_72,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| f(g(f(esk4_0))) != f(esk4_0)
| g(f(esk2_1(X1))) != esk2_1(X1)
| esk2_1(X1) != X1 ),
inference(spm,[status(thm)],[c_0_39,c_0_68]) ).
cnf(c_0_73,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| esk2_1(X1) = esk4_0
| esk2_1(X1) = X1 ),
inference(er,[status(thm)],[c_0_69]) ).
cnf(c_0_74,negated_conjecture,
( esk1_1(X1) = f(esk4_0)
| esk1_1(X2) = esk3_0
| esk2_1(X3) = esk4_0
| esk2_1(X3) = X3
| esk1_1(X2) = X2
| esk1_1(X1) = X1
| esk3_0 = X4
| f(g(X4)) != X4 ),
inference(spm,[status(thm)],[c_0_45,c_0_70]) ).
cnf(c_0_75,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| esk1_1(X2) = f(esk4_0)
| esk2_1(X3) = g(esk3_0)
| esk2_1(esk4_0) = esk4_0
| esk1_1(X4) = esk3_0
| esk1_1(X1) = X1
| esk2_1(X3) = X3
| esk1_1(X4) = X4
| esk1_1(X2) = X2 ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_76,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| g(f(esk2_1(X1))) != esk2_1(X1)
| f(g(X2)) != X2
| esk2_1(X1) != X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_59]),c_0_72]) ).
cnf(c_0_77,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| esk2_1(X1) = esk4_0
| X1 != esk4_0 ),
inference(ef,[status(thm)],[c_0_73]) ).
cnf(c_0_78,negated_conjecture,
( esk2_1(X1) = g(esk3_0)
| esk1_1(X2) = f(esk4_0)
| esk1_1(X3) = f(esk4_0)
| esk2_1(esk4_0) = esk4_0
| esk1_1(X4) = esk3_0
| esk1_1(X5) = esk3_0
| esk2_1(X6) = esk4_0
| esk1_1(X7) = esk3_0
| esk1_1(X2) = X2
| esk1_1(X4) = X4
| esk2_1(X1) = X1
| esk1_1(X5) = X5
| esk1_1(X3) = X3
| esk1_1(X7) = X7
| esk2_1(X6) = X6 ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_79,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| f(g(X1)) != X1
| esk4_0 != X2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_61])]) ).
cnf(c_0_80,negated_conjecture,
( esk1_1(X1) = f(esk4_0)
| esk2_1(X2) = g(esk3_0)
| esk2_1(esk4_0) = esk4_0
| esk1_1(X3) = esk3_0
| esk2_1(X4) = esk4_0
| esk1_1(X5) = esk3_0
| esk1_1(X6) = esk3_0
| esk2_1(X4) = X4
| esk1_1(X3) = X3
| esk1_1(X5) = X5
| esk2_1(X2) = X2
| esk1_1(X6) = X6
| esk1_1(X1) = X1 ),
inference(ef,[status(thm)],[c_0_78]) ).
cnf(c_0_81,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| esk4_0 != X1 ),
inference(spm,[status(thm)],[c_0_79,c_0_61]) ).
cnf(c_0_82,negated_conjecture,
( esk2_1(X1) = g(esk3_0)
| esk1_1(X2) = f(esk4_0)
| esk2_1(esk4_0) = esk4_0
| esk1_1(X3) = esk3_0
| esk1_1(X4) = esk3_0
| esk1_1(X5) = esk3_0
| esk1_1(X2) = X2
| esk1_1(X3) = X3
| esk2_1(X1) = X1
| esk1_1(X4) = X4
| esk1_1(X5) = X5 ),
inference(ef,[status(thm)],[c_0_80]) ).
cnf(c_0_83,negated_conjecture,
f(g(esk3_0)) = esk3_0,
inference(er,[status(thm)],[c_0_81]) ).
cnf(c_0_84,negated_conjecture,
( esk1_1(X1) = f(esk4_0)
| esk2_1(X2) = g(esk3_0)
| esk2_1(esk4_0) = esk4_0
| esk1_1(X3) = esk3_0
| esk1_1(X4) = esk3_0
| esk1_1(X3) = X3
| esk2_1(X2) = X2
| esk1_1(X4) = X4
| esk1_1(X1) = X1 ),
inference(ef,[status(thm)],[c_0_82]) ).
cnf(c_0_85,negated_conjecture,
( g(esk3_0) = esk4_0
| esk3_0 = X1
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[c_0_45,c_0_83]) ).
cnf(c_0_86,negated_conjecture,
( esk2_1(X1) = g(esk3_0)
| esk1_1(X2) = f(esk4_0)
| esk2_1(esk4_0) = esk4_0
| esk1_1(X3) = esk3_0
| esk1_1(X2) = X2
| esk2_1(X1) = X1
| esk1_1(X3) = X3 ),
inference(ef,[status(thm)],[c_0_84]) ).
cnf(c_0_87,negated_conjecture,
( f(esk4_0) = esk3_0
| g(esk3_0) = esk4_0 ),
inference(spm,[status(thm)],[c_0_85,c_0_61]) ).
cnf(c_0_88,negated_conjecture,
( esk1_1(X1) = f(esk4_0)
| esk2_1(X2) = g(esk3_0)
| esk2_1(esk4_0) = esk4_0
| esk1_1(X1) = esk3_0
| esk1_1(X1) = X1
| esk2_1(X2) = X2 ),
inference(ef,[status(thm)],[c_0_86]) ).
cnf(c_0_89,negated_conjecture,
g(esk3_0) = esk4_0,
inference(spm,[status(thm)],[c_0_61,c_0_87]) ).
cnf(c_0_90,negated_conjecture,
( esk1_1(X1) = f(esk4_0)
| esk2_1(esk4_0) = esk4_0
| esk1_1(X1) = esk3_0
| esk1_1(X1) = X1
| g(esk3_0) != esk4_0 ),
inference(ef,[status(thm)],[c_0_88]) ).
cnf(c_0_91,negated_conjecture,
f(esk4_0) = esk3_0,
inference(rw,[status(thm)],[c_0_83,c_0_89]) ).
cnf(c_0_92,negated_conjecture,
( esk2_1(esk4_0) = esk4_0
| esk1_1(X1) = esk3_0
| esk1_1(X1) = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_89])]),c_0_91])]) ).
cnf(c_0_93,negated_conjecture,
( esk2_1(esk4_0) = esk4_0
| esk1_1(X1) = esk3_0
| X1 != esk3_0 ),
inference(ef,[status(thm)],[c_0_92]) ).
cnf(c_0_94,negated_conjecture,
( esk1_1(esk3_0) = esk3_0
| esk2_1(esk4_0) = esk4_0 ),
inference(er,[status(thm)],[c_0_93]) ).
cnf(c_0_95,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| esk1_1(esk3_0) = esk3_0
| esk1_1(X1) = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_94]),c_0_91]),c_0_89])]) ).
cnf(c_0_96,negated_conjecture,
( g(esk1_1(X1)) = esk4_0
| esk1_1(esk3_0) = esk3_0
| esk1_1(X1) = X1
| esk3_0 = X2
| f(g(X2)) != X2 ),
inference(spm,[status(thm)],[c_0_45,c_0_95]) ).
cnf(c_0_97,negated_conjecture,
( g(esk1_1(X1)) = esk4_0
| esk1_1(esk3_0) = esk3_0
| esk1_1(X2) = esk3_0
| esk1_1(X2) = X2
| esk1_1(X1) = X1 ),
inference(spm,[status(thm)],[c_0_96,c_0_95]) ).
cnf(c_0_98,negated_conjecture,
( g(esk1_1(X1)) = esk4_0
| esk1_1(esk3_0) = esk3_0
| esk1_1(X1) = X1 ),
inference(ef,[status(thm)],[c_0_97]) ).
cnf(c_0_99,negated_conjecture,
( esk1_1(esk3_0) = esk3_0
| esk1_1(X1) = esk3_0
| esk1_1(X1) = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_98]),c_0_91]) ).
cnf(c_0_100,negated_conjecture,
esk1_1(esk3_0) = esk3_0,
inference(ef,[status(thm)],[c_0_99]) ).
cnf(c_0_101,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| esk2_1(X1) = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_100]),c_0_89]),c_0_91])]) ).
cnf(c_0_102,negated_conjecture,
( esk2_1(X1) = esk4_0
| esk2_1(X1) = X1
| esk3_0 = X2
| f(g(X2)) != X2 ),
inference(spm,[status(thm)],[c_0_45,c_0_101]) ).
cnf(c_0_103,negated_conjecture,
( f(esk2_1(X1)) = esk3_0
| esk2_1(X2) = esk4_0
| esk2_1(X1) = X1
| esk2_1(X2) = X2 ),
inference(spm,[status(thm)],[c_0_102,c_0_101]) ).
cnf(c_0_104,negated_conjecture,
( esk2_1(X1) = esk4_0
| esk2_1(X2) = esk4_0
| esk2_1(X1) = X1
| esk2_1(X2) = X2 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_103]),c_0_89]) ).
cnf(c_0_105,negated_conjecture,
( esk2_1(X1) = esk4_0
| esk2_1(X1) = X1 ),
inference(ef,[status(thm)],[c_0_104]) ).
cnf(c_0_106,negated_conjecture,
( g(f(esk2_1(X1))) != esk2_1(X1)
| esk2_1(X1) != X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_100]),c_0_89]),c_0_91])]) ).
cnf(c_0_107,negated_conjecture,
( esk2_1(X1) = esk4_0
| X1 != esk4_0 ),
inference(ef,[status(thm)],[c_0_105]) ).
cnf(c_0_108,negated_conjecture,
esk4_0 != X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_91]),c_0_89])]) ).
cnf(c_0_109,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_89,c_0_108]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN551+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n019.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 : Mon Jul 11 13:23:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41 # Preprocessing time : 0.013 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 110
% 0.23/1.41 # Proof object clause steps : 107
% 0.23/1.41 # Proof object formula steps : 3
% 0.23/1.41 # Proof object conjectures : 110
% 0.23/1.41 # Proof object clause conjectures : 107
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 8
% 0.23/1.41 # Proof object initial formulas used : 1
% 0.23/1.41 # Proof object generating inferences : 95
% 0.23/1.41 # Proof object simplifying inferences : 31
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 1
% 0.23/1.41 # Removed by relevancy pruning/SinE : 0
% 0.23/1.41 # Initial clauses : 8
% 0.23/1.41 # Removed in clause preprocessing : 0
% 0.23/1.41 # Initial clauses in saturation : 8
% 0.23/1.41 # Processed clauses : 551
% 0.23/1.41 # ...of these trivial : 4
% 0.23/1.41 # ...subsumed : 240
% 0.23/1.41 # ...remaining for further processing : 307
% 0.23/1.41 # Other redundant clauses eliminated : 16
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 217
% 0.23/1.41 # Backward-rewritten : 68
% 0.23/1.41 # Generated clauses : 7834
% 0.23/1.41 # ...of the previous two non-trivial : 6863
% 0.23/1.41 # Contextual simplify-reflections : 679
% 0.23/1.41 # Paramodulations : 6840
% 0.23/1.41 # Factorizations : 884
% 0.23/1.41 # Equation resolutions : 107
% 0.23/1.41 # Current number of processed clauses : 19
% 0.23/1.41 # Positive orientable unit clauses : 2
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 1
% 0.23/1.41 # Non-unit-clauses : 16
% 0.23/1.41 # Current number of unprocessed clauses: 4
% 0.23/1.41 # ...number of literals in the above : 8
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 288
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 5689
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 1707
% 0.23/1.41 # Non-unit clause-clause subsumptions : 1132
% 0.23/1.41 # Unit Clause-clause subsumption calls : 105
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 5
% 0.23/1.41 # BW rewrite match successes : 5
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 254873
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.525 s
% 0.23/1.41 # System time : 0.003 s
% 0.23/1.41 # Total time : 0.528 s
% 0.23/1.41 # Maximum resident set size: 4860 pages
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------