%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SYN551+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n025.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 06:03:39 EDT 2022
% Result : Theorem 0.21s 1.40s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 1
% Syntax : Number of formulae : 146 ( 15 unt; 0 def)
% Number of atoms : 473 ( 472 equ)
% Maximal formula atoms : 52 ( 3 avg)
% Number of connectives : 517 ( 190 ~; 301 |; 20 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 116 ( 0 sgn 14 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this_cute_thing,conjecture,
( ( ? [X1] : X1 = f(g(X1))
& ! [X2,X3] :
( ( X2 = f(g(X2))
& X3 = f(g(X3)) )
=> X2 = X3 ) )
<=> ( ? [X1] : X1 = g(f(X1))
& ! [X2,X3] :
( ( X2 = g(f(X2))
& X3 = g(f(X3)) )
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',prove_this_cute_thing) ).
fof(c_0_1,negated_conjecture,
~ ( ( ? [X1] : X1 = f(g(X1))
& ! [X2,X3] :
( ( X2 = f(g(X2))
& X3 = f(g(X3)) )
=> X2 = X3 ) )
<=> ( ? [X1] : X1 = g(f(X1))
& ! [X2,X3] :
( ( X2 = g(f(X2))
& X3 = g(f(X3)) )
=> X2 = X3 ) ) ),
inference(assume_negation,[status(cth)],[prove_this_cute_thing]) ).
fof(c_0_2,negated_conjecture,
! [X4,X7,X11,X12,X14,X15] :
( ( esk3_0 = g(f(esk3_0))
| X7 != g(f(X7))
| esk1_0 = f(g(esk1_0))
| X4 != f(g(X4)) )
& ( esk4_0 = g(f(esk4_0))
| X7 != g(f(X7))
| esk1_0 = f(g(esk1_0))
| X4 != f(g(X4)) )
& ( esk3_0 != esk4_0
| X7 != g(f(X7))
| esk1_0 = f(g(esk1_0))
| X4 != f(g(X4)) )
& ( esk3_0 = g(f(esk3_0))
| X7 != g(f(X7))
| esk2_0 = f(g(esk2_0))
| X4 != f(g(X4)) )
& ( esk4_0 = g(f(esk4_0))
| X7 != g(f(X7))
| esk2_0 = f(g(esk2_0))
| X4 != f(g(X4)) )
& ( esk3_0 != esk4_0
| X7 != g(f(X7))
| esk2_0 = f(g(esk2_0))
| X4 != f(g(X4)) )
& ( esk3_0 = g(f(esk3_0))
| X7 != g(f(X7))
| esk1_0 != esk2_0
| X4 != f(g(X4)) )
& ( esk4_0 = g(f(esk4_0))
| X7 != g(f(X7))
| esk1_0 != esk2_0
| X4 != f(g(X4)) )
& ( esk3_0 != esk4_0
| X7 != g(f(X7))
| esk1_0 != esk2_0
| X4 != f(g(X4)) )
& ( esk6_0 = g(f(esk6_0))
| esk5_0 = f(g(esk5_0)) )
& ( X14 != g(f(X14))
| X15 != g(f(X15))
| X14 = X15
| esk5_0 = f(g(esk5_0)) )
& ( esk6_0 = g(f(esk6_0))
| X11 != f(g(X11))
| X12 != f(g(X12))
| X11 = X12 )
& ( X14 != g(f(X14))
| X15 != g(f(X15))
| X14 = X15
| X11 != f(g(X11))
| X12 != f(g(X12))
| X11 = X12 ) ),
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 = g(f(esk3_0))
| X1 != f(g(X1))
| esk1_0 != esk2_0
| X2 != g(f(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( esk5_0 = f(g(esk5_0))
| esk6_0 = g(f(esk6_0)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( g(f(esk3_0)) = esk3_0
| f(g(X1)) != X1
| esk2_0 != esk1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_3]) ).
cnf(c_0_6,negated_conjecture,
( esk4_0 = g(f(esk4_0))
| X1 != f(g(X1))
| esk1_0 != esk2_0
| X2 != g(f(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,negated_conjecture,
( esk1_0 = f(g(esk1_0))
| X1 != f(g(X1))
| X2 != g(f(X2))
| esk3_0 != esk4_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
( X1 != f(g(X1))
| esk1_0 != esk2_0
| X2 != g(f(X2))
| esk3_0 != esk4_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9,negated_conjecture,
( X1 = X2
| esk6_0 = g(f(esk6_0))
| X2 != f(g(X2))
| X1 != f(g(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_10,negated_conjecture,
( g(f(esk6_0)) = esk6_0
| g(f(esk3_0)) = esk3_0
| esk2_0 != esk1_0 ),
inference(spm,[status(thm)],[c_0_5,c_0_4]) ).
cnf(c_0_11,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| f(g(X1)) != X1
| esk2_0 != esk1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_4]),c_0_6]) ).
cnf(c_0_12,negated_conjecture,
( f(g(esk1_0)) = esk1_0
| f(g(X1)) != X1
| esk4_0 != esk3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_4]),c_0_7]) ).
cnf(c_0_13,negated_conjecture,
( esk2_0 = f(g(esk2_0))
| X1 != f(g(X1))
| X2 != g(f(X2))
| esk3_0 != esk4_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_14,negated_conjecture,
( f(g(X1)) != X1
| esk2_0 != esk1_0
| esk4_0 != esk3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_4]),c_0_8]) ).
cnf(c_0_15,negated_conjecture,
( g(f(esk6_0)) = esk6_0
| X1 = f(esk3_0)
| f(g(X1)) != X1
| esk2_0 != esk1_0 ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_16,negated_conjecture,
( g(f(esk6_0)) = esk6_0
| g(f(esk4_0)) = esk4_0
| esk2_0 != esk1_0 ),
inference(spm,[status(thm)],[c_0_11,c_0_4]) ).
cnf(c_0_17,negated_conjecture,
( g(f(esk6_0)) = esk6_0
| f(g(esk1_0)) = esk1_0
| esk4_0 != esk3_0 ),
inference(spm,[status(thm)],[c_0_12,c_0_4]) ).
cnf(c_0_18,negated_conjecture,
( f(g(esk2_0)) = esk2_0
| f(g(X1)) != X1
| esk4_0 != esk3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_4]),c_0_13]) ).
cnf(c_0_19,negated_conjecture,
( g(f(esk6_0)) = esk6_0
| esk2_0 != esk1_0
| esk4_0 != esk3_0 ),
inference(spm,[status(thm)],[c_0_14,c_0_4]) ).
cnf(c_0_20,negated_conjecture,
( f(esk4_0) = f(esk3_0)
| g(f(esk6_0)) = esk6_0
| esk2_0 != esk1_0 ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
( g(f(esk6_0)) = esk6_0
| X1 = esk1_0
| f(g(X1)) != X1
| esk4_0 != esk3_0 ),
inference(spm,[status(thm)],[c_0_9,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
( g(f(esk6_0)) = esk6_0
| f(g(esk2_0)) = esk2_0
| esk4_0 != esk3_0 ),
inference(spm,[status(thm)],[c_0_18,c_0_4]) ).
cnf(c_0_23,negated_conjecture,
( esk4_0 != esk3_0
| esk2_0 != esk1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_19]),c_0_14]) ).
cnf(c_0_24,negated_conjecture,
( g(f(esk3_0)) = esk4_0
| g(f(esk6_0)) = esk6_0
| esk2_0 != esk1_0 ),
inference(spm,[status(thm)],[c_0_16,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
( g(f(esk6_0)) = esk6_0
| esk4_0 != esk3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
cnf(c_0_26,negated_conjecture,
( g(f(esk6_0)) = esk6_0
| esk2_0 != esk1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_24]),c_0_25]) ).
cnf(c_0_27,negated_conjecture,
( X1 = X2
| X3 = X4
| X2 != f(g(X2))
| X1 != f(g(X1))
| X4 != g(f(X4))
| X3 != g(f(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_28,negated_conjecture,
( g(f(esk3_0)) = esk3_0
| esk2_0 != esk1_0 ),
inference(spm,[status(thm)],[c_0_5,c_0_26]) ).
cnf(c_0_29,negated_conjecture,
( esk5_0 = f(g(esk5_0))
| X1 = X2
| X2 != g(f(X2))
| X1 != g(f(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_30,negated_conjecture,
( X1 = esk3_0
| X2 = X3
| g(f(X1)) != X1
| f(g(X3)) != X3
| f(g(X2)) != X2
| esk2_0 != esk1_0 ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| esk2_0 != esk1_0 ),
inference(spm,[status(thm)],[c_0_11,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
( f(g(esk5_0)) = esk5_0
| X1 = esk3_0
| g(f(X1)) != X1
| esk2_0 != esk1_0 ),
inference(spm,[status(thm)],[c_0_29,c_0_28]) ).
cnf(c_0_33,negated_conjecture,
( esk1_0 = f(g(esk1_0))
| esk3_0 = g(f(esk3_0))
| X1 != f(g(X1))
| X2 != g(f(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_34,negated_conjecture,
( X1 = X2
| f(g(X2)) != X2
| f(g(X1)) != X1
| esk2_0 != esk1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_23]) ).
cnf(c_0_35,negated_conjecture,
( f(g(esk5_0)) = esk5_0
| esk2_0 != esk1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_31]),c_0_23]) ).
cnf(c_0_36,negated_conjecture,
( f(g(esk1_0)) = esk1_0
| g(f(esk3_0)) = esk3_0
| f(g(X1)) != X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_4]),c_0_33]) ).
cnf(c_0_37,negated_conjecture,
( esk2_0 = f(g(esk2_0))
| esk3_0 = g(f(esk3_0))
| X1 != f(g(X1))
| X2 != g(f(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_38,negated_conjecture,
( esk1_0 = f(g(esk1_0))
| esk4_0 = g(f(esk4_0))
| X1 != f(g(X1))
| X2 != g(f(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_39,negated_conjecture,
( X1 = esk6_0
| X2 = X3
| g(f(X1)) != X1
| f(g(X3)) != X3
| f(g(X2)) != X2
| esk4_0 != esk3_0 ),
inference(spm,[status(thm)],[c_0_27,c_0_25]) ).
cnf(c_0_40,negated_conjecture,
( f(g(esk2_0)) = esk2_0
| esk4_0 != esk3_0 ),
inference(spm,[status(thm)],[c_0_18,c_0_25]) ).
cnf(c_0_41,negated_conjecture,
( X1 = esk5_0
| f(g(X1)) != X1
| esk2_0 != esk1_0 ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_42,negated_conjecture,
( g(f(esk6_0)) = esk6_0
| g(f(esk3_0)) = esk3_0
| f(g(esk1_0)) = esk1_0 ),
inference(spm,[status(thm)],[c_0_36,c_0_4]) ).
cnf(c_0_43,negated_conjecture,
( f(g(esk2_0)) = esk2_0
| g(f(esk3_0)) = esk3_0
| f(g(X1)) != X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_4]),c_0_37]) ).
cnf(c_0_44,negated_conjecture,
( f(g(esk1_0)) = esk1_0
| g(f(esk4_0)) = esk4_0
| f(g(X1)) != X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_4]),c_0_38]) ).
cnf(c_0_45,negated_conjecture,
( esk2_0 = f(g(esk2_0))
| esk4_0 = g(f(esk4_0))
| X1 != f(g(X1))
| X2 != g(f(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_46,negated_conjecture,
( g(esk2_0) = esk6_0
| X1 = X2
| f(g(X2)) != X2
| f(g(X1)) != X1
| esk4_0 != esk3_0 ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_47,negated_conjecture,
( f(g(esk1_0)) = esk1_0
| esk4_0 != esk3_0 ),
inference(spm,[status(thm)],[c_0_12,c_0_25]) ).
cnf(c_0_48,negated_conjecture,
( f(esk4_0) = esk5_0
| esk2_0 != esk1_0 ),
inference(spm,[status(thm)],[c_0_41,c_0_31]) ).
cnf(c_0_49,negated_conjecture,
( f(esk3_0) = esk5_0
| esk2_0 != esk1_0 ),
inference(spm,[status(thm)],[c_0_41,c_0_28]) ).
cnf(c_0_50,negated_conjecture,
( g(f(esk3_0)) = esk3_0
| g(f(esk6_0)) = esk6_0
| X1 = esk1_0
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[c_0_9,c_0_42]) ).
cnf(c_0_51,negated_conjecture,
( g(f(esk6_0)) = esk6_0
| g(f(esk3_0)) = esk3_0
| f(g(esk2_0)) = esk2_0 ),
inference(spm,[status(thm)],[c_0_43,c_0_4]) ).
cnf(c_0_52,negated_conjecture,
( g(f(esk6_0)) = esk6_0
| g(f(esk4_0)) = esk4_0
| f(g(esk1_0)) = esk1_0 ),
inference(spm,[status(thm)],[c_0_44,c_0_4]) ).
cnf(c_0_53,negated_conjecture,
( f(g(esk2_0)) = esk2_0
| g(f(esk4_0)) = esk4_0
| f(g(X1)) != X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_4]),c_0_45]) ).
cnf(c_0_54,negated_conjecture,
( g(esk2_0) = esk6_0
| X1 = f(esk6_0)
| f(g(X1)) != X1
| esk4_0 != esk3_0 ),
inference(spm,[status(thm)],[c_0_46,c_0_25]) ).
cnf(c_0_55,negated_conjecture,
( g(esk1_0) = esk6_0
| X1 = X2
| f(g(X2)) != X2
| f(g(X1)) != X1
| esk4_0 != esk3_0 ),
inference(spm,[status(thm)],[c_0_39,c_0_47]) ).
cnf(c_0_56,negated_conjecture,
( g(esk5_0) = esk4_0
| esk2_0 != esk1_0 ),
inference(spm,[status(thm)],[c_0_31,c_0_48]) ).
cnf(c_0_57,negated_conjecture,
( g(esk5_0) = esk3_0
| esk2_0 != esk1_0 ),
inference(spm,[status(thm)],[c_0_28,c_0_49]) ).
cnf(c_0_58,negated_conjecture,
( g(f(esk6_0)) = esk6_0
| g(f(esk3_0)) = esk3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_28]) ).
cnf(c_0_59,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| g(f(esk6_0)) = esk6_0
| X1 = esk1_0
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[c_0_9,c_0_52]) ).
cnf(c_0_60,negated_conjecture,
( g(f(esk6_0)) = esk6_0
| g(f(esk4_0)) = esk4_0
| f(g(esk2_0)) = esk2_0 ),
inference(spm,[status(thm)],[c_0_53,c_0_4]) ).
cnf(c_0_61,negated_conjecture,
( f(esk6_0) = esk2_0
| g(esk2_0) = esk6_0
| esk4_0 != esk3_0 ),
inference(spm,[status(thm)],[c_0_54,c_0_40]) ).
cnf(c_0_62,negated_conjecture,
( g(esk1_0) = esk6_0
| X1 = esk2_0
| f(g(X1)) != X1
| esk4_0 != esk3_0 ),
inference(spm,[status(thm)],[c_0_55,c_0_40]) ).
cnf(c_0_63,negated_conjecture,
esk2_0 != esk1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_23]) ).
cnf(c_0_64,negated_conjecture,
( g(f(esk6_0)) = esk6_0
| X1 = f(esk3_0)
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[c_0_9,c_0_58]) ).
cnf(c_0_65,negated_conjecture,
( g(f(esk6_0)) = esk6_0
| g(f(esk4_0)) = esk4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_31]) ).
cnf(c_0_66,negated_conjecture,
( g(esk2_0) = esk6_0
| esk4_0 != esk3_0 ),
inference(spm,[status(thm)],[c_0_25,c_0_61]) ).
cnf(c_0_67,negated_conjecture,
( g(esk1_0) = esk6_0
| esk4_0 != esk3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_47]),c_0_63]) ).
cnf(c_0_68,negated_conjecture,
( f(esk4_0) = f(esk3_0)
| g(f(esk6_0)) = esk6_0 ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_69,negated_conjecture,
( f(esk6_0) = esk2_0
| esk4_0 != esk3_0 ),
inference(spm,[status(thm)],[c_0_40,c_0_66]) ).
cnf(c_0_70,negated_conjecture,
( f(esk6_0) = esk1_0
| esk4_0 != esk3_0 ),
inference(spm,[status(thm)],[c_0_47,c_0_67]) ).
cnf(c_0_71,negated_conjecture,
( g(f(esk3_0)) = esk4_0
| g(f(esk6_0)) = esk6_0 ),
inference(spm,[status(thm)],[c_0_65,c_0_68]) ).
cnf(c_0_72,negated_conjecture,
esk4_0 != esk3_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_63]) ).
cnf(c_0_73,negated_conjecture,
g(f(esk6_0)) = esk6_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_71]),c_0_72]) ).
cnf(c_0_74,negated_conjecture,
( X1 = esk6_0
| X2 = X3
| g(f(X1)) != X1
| f(g(X3)) != X3
| f(g(X2)) != X2 ),
inference(spm,[status(thm)],[c_0_27,c_0_73]) ).
cnf(c_0_75,negated_conjecture,
( g(f(esk3_0)) = esk3_0
| f(g(esk1_0)) = esk1_0 ),
inference(spm,[status(thm)],[c_0_36,c_0_73]) ).
cnf(c_0_76,negated_conjecture,
( g(f(esk3_0)) = esk3_0
| f(g(esk2_0)) = esk2_0 ),
inference(spm,[status(thm)],[c_0_43,c_0_73]) ).
cnf(c_0_77,negated_conjecture,
( g(f(esk3_0)) = esk3_0
| g(esk1_0) = esk6_0
| X1 = X2
| f(g(X2)) != X2
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_78,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| f(g(esk1_0)) = esk1_0 ),
inference(spm,[status(thm)],[c_0_44,c_0_73]) ).
cnf(c_0_79,negated_conjecture,
( g(f(esk3_0)) = esk3_0
| g(esk2_0) = esk6_0
| X1 = X2
| f(g(X2)) != X2
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[c_0_74,c_0_76]) ).
cnf(c_0_80,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| f(g(esk2_0)) = esk2_0 ),
inference(spm,[status(thm)],[c_0_53,c_0_73]) ).
cnf(c_0_81,negated_conjecture,
( g(f(esk3_0)) = esk3_0
| g(esk1_0) = esk6_0
| X1 = esk2_0
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[c_0_77,c_0_76]) ).
cnf(c_0_82,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| g(esk1_0) = esk6_0
| X1 = X2
| f(g(X2)) != X2
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[c_0_74,c_0_78]) ).
cnf(c_0_83,negated_conjecture,
( g(f(esk3_0)) = esk3_0
| g(esk2_0) = esk6_0
| X1 = esk2_0
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[c_0_79,c_0_76]) ).
cnf(c_0_84,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| g(esk2_0) = esk6_0
| X1 = X2
| f(g(X2)) != X2
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[c_0_74,c_0_80]) ).
cnf(c_0_85,negated_conjecture,
( g(f(esk3_0)) = esk3_0
| g(esk1_0) = esk6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_75]),c_0_63]) ).
cnf(c_0_86,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| g(esk1_0) = esk6_0
| X1 = esk2_0
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[c_0_82,c_0_80]) ).
cnf(c_0_87,negated_conjecture,
( g(f(esk3_0)) = esk3_0
| g(esk2_0) = esk6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_75]),c_0_63]) ).
cnf(c_0_88,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| g(esk2_0) = esk6_0
| X1 = esk2_0
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[c_0_84,c_0_80]) ).
cnf(c_0_89,negated_conjecture,
( g(esk1_0) = esk6_0
| X1 = esk3_0
| X2 = X3
| g(f(X1)) != X1
| f(g(X3)) != X3
| f(g(X2)) != X2 ),
inference(spm,[status(thm)],[c_0_27,c_0_85]) ).
cnf(c_0_90,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| g(esk1_0) = esk6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_78]),c_0_63]) ).
cnf(c_0_91,negated_conjecture,
( g(esk2_0) = esk6_0
| X1 = esk3_0
| X2 = X3
| g(f(X1)) != X1
| f(g(X3)) != X3
| f(g(X2)) != X2 ),
inference(spm,[status(thm)],[c_0_27,c_0_87]) ).
cnf(c_0_92,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| g(esk2_0) = esk6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_78]),c_0_63]) ).
cnf(c_0_93,negated_conjecture,
( g(esk1_0) = esk6_0
| X1 = X2
| f(g(X2)) != X2
| f(g(X1)) != X1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_72]) ).
cnf(c_0_94,negated_conjecture,
( g(esk2_0) = esk6_0
| X1 = X2
| f(g(X2)) != X2
| f(g(X1)) != X1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_72]) ).
cnf(c_0_95,negated_conjecture,
( g(esk1_0) = esk6_0
| X1 = f(esk4_0)
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[c_0_93,c_0_90]) ).
cnf(c_0_96,negated_conjecture,
( g(esk2_0) = esk6_0
| X1 = f(esk4_0)
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[c_0_94,c_0_92]) ).
cnf(c_0_97,negated_conjecture,
( f(esk4_0) = f(esk3_0)
| g(esk1_0) = esk6_0 ),
inference(spm,[status(thm)],[c_0_95,c_0_85]) ).
cnf(c_0_98,negated_conjecture,
( f(esk4_0) = f(esk3_0)
| g(esk2_0) = esk6_0 ),
inference(spm,[status(thm)],[c_0_96,c_0_87]) ).
cnf(c_0_99,negated_conjecture,
( g(f(esk3_0)) = esk4_0
| g(esk1_0) = esk6_0 ),
inference(spm,[status(thm)],[c_0_90,c_0_97]) ).
cnf(c_0_100,negated_conjecture,
( g(f(esk3_0)) = esk4_0
| g(esk2_0) = esk6_0 ),
inference(spm,[status(thm)],[c_0_92,c_0_98]) ).
cnf(c_0_101,negated_conjecture,
g(esk1_0) = esk6_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_99]),c_0_72]) ).
cnf(c_0_102,negated_conjecture,
g(esk2_0) = esk6_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_100]),c_0_72]) ).
cnf(c_0_103,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| f(esk6_0) = esk1_0 ),
inference(rw,[status(thm)],[c_0_78,c_0_101]) ).
cnf(c_0_104,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| f(esk6_0) = esk2_0 ),
inference(rw,[status(thm)],[c_0_80,c_0_102]) ).
cnf(c_0_105,negated_conjecture,
( f(esk6_0) = esk1_0
| X1 = esk4_0
| X2 = X3
| g(f(X1)) != X1
| f(g(X3)) != X3
| f(g(X2)) != X2 ),
inference(spm,[status(thm)],[c_0_27,c_0_103]) ).
cnf(c_0_106,negated_conjecture,
( g(f(esk3_0)) = esk3_0
| f(esk6_0) = esk1_0 ),
inference(rw,[status(thm)],[c_0_75,c_0_101]) ).
cnf(c_0_107,negated_conjecture,
( f(g(esk5_0)) = esk5_0
| f(esk6_0) = esk1_0
| X1 = esk4_0
| g(f(X1)) != X1 ),
inference(spm,[status(thm)],[c_0_29,c_0_103]) ).
cnf(c_0_108,negated_conjecture,
( f(esk6_0) = esk2_0
| X1 = esk4_0
| X2 = X3
| g(f(X1)) != X1
| f(g(X3)) != X3
| f(g(X2)) != X2 ),
inference(spm,[status(thm)],[c_0_27,c_0_104]) ).
cnf(c_0_109,negated_conjecture,
( g(f(esk3_0)) = esk3_0
| f(esk6_0) = esk2_0 ),
inference(rw,[status(thm)],[c_0_76,c_0_102]) ).
cnf(c_0_110,negated_conjecture,
( f(g(esk5_0)) = esk5_0
| f(esk6_0) = esk2_0
| X1 = esk4_0
| g(f(X1)) != X1 ),
inference(spm,[status(thm)],[c_0_29,c_0_104]) ).
cnf(c_0_111,negated_conjecture,
( f(esk6_0) = esk1_0
| X1 = X2
| f(g(X2)) != X2
| f(g(X1)) != X1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_72]) ).
cnf(c_0_112,negated_conjecture,
( f(g(esk5_0)) = esk5_0
| f(esk6_0) = esk1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_106]),c_0_72]) ).
cnf(c_0_113,negated_conjecture,
( f(esk6_0) = esk2_0
| X1 = X2
| f(g(X2)) != X2
| f(g(X1)) != X1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_72]) ).
cnf(c_0_114,negated_conjecture,
( f(g(esk5_0)) = esk5_0
| f(esk6_0) = esk2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_109]),c_0_72]) ).
cnf(c_0_115,negated_conjecture,
( f(esk6_0) = esk1_0
| X1 = esk5_0
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_116,negated_conjecture,
( f(esk6_0) = esk2_0
| X1 = esk5_0
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_117,negated_conjecture,
( f(esk6_0) = esk5_0
| f(esk6_0) = esk1_0 ),
inference(spm,[status(thm)],[c_0_115,c_0_73]) ).
cnf(c_0_118,negated_conjecture,
( f(esk6_0) = esk5_0
| f(esk6_0) = esk2_0 ),
inference(spm,[status(thm)],[c_0_116,c_0_73]) ).
cnf(c_0_119,negated_conjecture,
( f(esk6_0) = esk5_0
| esk1_0 != esk5_0 ),
inference(ef,[status(thm)],[c_0_117]) ).
cnf(c_0_120,negated_conjecture,
( f(esk6_0) = esk5_0
| esk2_0 != esk1_0 ),
inference(spm,[status(thm)],[c_0_41,c_0_26]) ).
cnf(c_0_121,negated_conjecture,
f(esk6_0) = esk5_0,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_117]),c_0_63]),c_0_119]) ).
cnf(c_0_122,negated_conjecture,
( f(esk4_0) = esk5_0
| f(esk6_0) = esk2_0 ),
inference(spm,[status(thm)],[c_0_116,c_0_104]) ).
cnf(c_0_123,negated_conjecture,
( f(esk3_0) = esk5_0
| f(esk6_0) = esk2_0 ),
inference(spm,[status(thm)],[c_0_116,c_0_109]) ).
cnf(c_0_124,negated_conjecture,
( g(esk5_0) = esk6_0
| esk2_0 != esk1_0 ),
inference(spm,[status(thm)],[c_0_26,c_0_120]) ).
cnf(c_0_125,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| esk2_0 = esk5_0 ),
inference(rw,[status(thm)],[c_0_104,c_0_121]) ).
cnf(c_0_126,negated_conjecture,
( f(esk4_0) = esk5_0
| esk2_0 = esk5_0 ),
inference(rw,[status(thm)],[c_0_122,c_0_121]) ).
cnf(c_0_127,negated_conjecture,
g(esk5_0) = esk6_0,
inference(rw,[status(thm)],[c_0_73,c_0_121]) ).
cnf(c_0_128,negated_conjecture,
( g(f(esk3_0)) = esk3_0
| esk2_0 = esk5_0 ),
inference(rw,[status(thm)],[c_0_109,c_0_121]) ).
cnf(c_0_129,negated_conjecture,
( f(esk3_0) = esk5_0
| esk2_0 = esk5_0 ),
inference(rw,[status(thm)],[c_0_123,c_0_121]) ).
cnf(c_0_130,negated_conjecture,
( esk4_0 = esk6_0
| esk2_0 != esk1_0 ),
inference(spm,[status(thm)],[c_0_124,c_0_56]) ).
cnf(c_0_131,negated_conjecture,
( esk2_0 = esk5_0
| esk4_0 = esk6_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127]) ).
cnf(c_0_132,negated_conjecture,
( esk2_0 = esk5_0
| esk3_0 = esk6_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_127]) ).
cnf(c_0_133,negated_conjecture,
( esk4_0 = esk6_0
| esk1_0 != esk5_0 ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_134,negated_conjecture,
( esk3_0 = esk6_0
| esk1_0 != esk5_0 ),
inference(spm,[status(thm)],[c_0_63,c_0_132]) ).
cnf(c_0_135,negated_conjecture,
esk1_0 != esk5_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_133]),c_0_134]) ).
cnf(c_0_136,negated_conjecture,
( g(f(esk3_0)) = esk3_0
| esk1_0 = esk5_0 ),
inference(rw,[status(thm)],[c_0_106,c_0_121]) ).
cnf(c_0_137,negated_conjecture,
( X1 = esk5_0
| f(g(X1)) != X1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_121]),c_0_135]) ).
cnf(c_0_138,negated_conjecture,
g(f(esk3_0)) = esk3_0,
inference(sr,[status(thm)],[c_0_136,c_0_135]) ).
cnf(c_0_139,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| esk1_0 = esk5_0 ),
inference(rw,[status(thm)],[c_0_103,c_0_121]) ).
cnf(c_0_140,negated_conjecture,
f(esk3_0) = esk5_0,
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_141,negated_conjecture,
g(f(esk4_0)) = esk4_0,
inference(sr,[status(thm)],[c_0_139,c_0_135]) ).
cnf(c_0_142,negated_conjecture,
esk3_0 = esk6_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_140]),c_0_127]) ).
cnf(c_0_143,negated_conjecture,
f(esk4_0) = esk5_0,
inference(spm,[status(thm)],[c_0_137,c_0_141]) ).
cnf(c_0_144,negated_conjecture,
esk4_0 != esk6_0,
inference(rw,[status(thm)],[c_0_72,c_0_142]) ).
cnf(c_0_145,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_143]),c_0_127]),c_0_144]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN551+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.07/0.12 % Command : run_ET %s %d
% 0.11/0.33 % Computer : n025.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jul 11 23:08:17 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.21/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.21/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.21/1.40 # Preprocessing time : 0.014 s
% 0.21/1.40
% 0.21/1.40 # Proof found!
% 0.21/1.40 # SZS status Theorem
% 0.21/1.40 # SZS output start CNFRefutation
% See solution above
% 0.21/1.40 # Proof object total steps : 146
% 0.21/1.40 # Proof object clause steps : 143
% 0.21/1.40 # Proof object formula steps : 3
% 0.21/1.40 # Proof object conjectures : 146
% 0.21/1.40 # Proof object clause conjectures : 143
% 0.21/1.40 # Proof object formula conjectures : 3
% 0.21/1.40 # Proof object initial clauses used : 13
% 0.21/1.40 # Proof object initial formulas used : 1
% 0.21/1.40 # Proof object generating inferences : 113
% 0.21/1.40 # Proof object simplifying inferences : 58
% 0.21/1.40 # Training examples: 0 positive, 0 negative
% 0.21/1.40 # Parsed axioms : 1
% 0.21/1.40 # Removed by relevancy pruning/SinE : 0
% 0.21/1.40 # Initial clauses : 13
% 0.21/1.40 # Removed in clause preprocessing : 0
% 0.21/1.40 # Initial clauses in saturation : 13
% 0.21/1.40 # Processed clauses : 1747
% 0.21/1.40 # ...of these trivial : 5
% 0.21/1.40 # ...subsumed : 1387
% 0.21/1.40 # ...remaining for further processing : 355
% 0.21/1.40 # Other redundant clauses eliminated : 0
% 0.21/1.40 # Clauses deleted for lack of memory : 0
% 0.21/1.40 # Backward-subsumed : 231
% 0.21/1.40 # Backward-rewritten : 108
% 0.21/1.40 # Generated clauses : 5746
% 0.21/1.40 # ...of the previous two non-trivial : 5557
% 0.21/1.40 # Contextual simplify-reflections : 2324
% 0.21/1.40 # Paramodulations : 5739
% 0.21/1.40 # Factorizations : 4
% 0.21/1.40 # Equation resolutions : 0
% 0.21/1.40 # Current number of processed clauses : 13
% 0.21/1.40 # Positive orientable unit clauses : 6
% 0.21/1.40 # Positive unorientable unit clauses: 0
% 0.21/1.40 # Negative unit clauses : 2
% 0.21/1.40 # Non-unit-clauses : 5
% 0.21/1.40 # Current number of unprocessed clauses: 6
% 0.21/1.40 # ...number of literals in the above : 18
% 0.21/1.40 # Current number of archived formulas : 0
% 0.21/1.40 # Current number of archived clauses : 342
% 0.21/1.40 # Clause-clause subsumption calls (NU) : 6498
% 0.21/1.40 # Rec. Clause-clause subsumption calls : 4263
% 0.21/1.40 # Non-unit clause-clause subsumptions : 3341
% 0.21/1.40 # Unit Clause-clause subsumption calls : 98
% 0.21/1.40 # Rewrite failures with RHS unbound : 0
% 0.21/1.40 # BW rewrite match attempts : 10
% 0.21/1.40 # BW rewrite match successes : 10
% 0.21/1.40 # Condensation attempts : 0
% 0.21/1.40 # Condensation successes : 0
% 0.21/1.40 # Termbank termtop insertions : 77717
% 0.21/1.40
% 0.21/1.40 # -------------------------------------------------
% 0.21/1.40 # User time : 0.258 s
% 0.21/1.40 # System time : 0.002 s
% 0.21/1.40 # Total time : 0.260 s
% 0.21/1.40 # Maximum resident set size: 3812 pages
%------------------------------------------------------------------------------