%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN551+2 : TPTP v9.2.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %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 : 300s
% DateTime : Tue May 5 05:39:37 PM UTC 2026
% Result : Theorem 1.33s 1.75s
% Output : CNFRefutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 1
% Syntax : Number of formulae : 77 ( 7 unt; 0 def)
% Number of atoms : 299 ( 298 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 271 ( 49 ~; 209 |; 7 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 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 : 98 ( 0 sgn 8 !; 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/sandbox2/benchmark/theBenchmark.p',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,
! [X7,X9,X12,X14] :
( ( esk2_1(X9) != g(f(esk2_1(X9)))
| X9 != esk2_1(X9)
| esk1_1(X7) != f(g(esk1_1(X7)))
| X7 != esk1_1(X7) )
& ( esk2_1(X9) = g(f(esk2_1(X9)))
| X9 = esk2_1(X9)
| esk1_1(X7) != f(g(esk1_1(X7)))
| X7 != esk1_1(X7) )
& ( esk2_1(X9) != g(f(esk2_1(X9)))
| X9 != esk2_1(X9)
| esk1_1(X7) = f(g(esk1_1(X7)))
| X7 = esk1_1(X7) )
& ( esk2_1(X9) = g(f(esk2_1(X9)))
| X9 = esk2_1(X9)
| esk1_1(X7) = f(g(esk1_1(X7)))
| X7 = esk1_1(X7) )
& ( X14 != g(f(X14))
| esk4_0 = X14
| X12 != f(g(X12))
| esk3_0 = X12 )
& ( esk4_0 != X14
| X14 = g(f(X14))
| X12 != f(g(X12))
| esk3_0 = X12 )
& ( X14 != g(f(X14))
| esk4_0 = X14
| esk3_0 != X12
| X12 = f(g(X12)) )
& ( esk4_0 != X14
| X14 = g(f(X14))
| esk3_0 != X12
| X12 = f(g(X12)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).
cnf(c_0_3,negated_conjecture,
( X1 = g(f(X1))
| esk3_0 = X2
| esk4_0 != X1
| X2 != f(g(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| esk3_0 = X1
| f(g(X1)) != X1 ),
inference(er,[status(thm)],[c_0_3]) ).
cnf(c_0_5,negated_conjecture,
( esk2_1(X1) = g(f(esk2_1(X1)))
| X1 = esk2_1(X1)
| esk1_1(X2) = f(g(esk1_1(X2)))
| X2 = esk1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| g(f(esk4_0)) = esk4_0
| f(esk2_1(X2)) = esk3_0
| esk2_1(X2) = X2
| esk1_1(X1) = X1 ),
inference(spm,[status(thm)],[c_0_4,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
| esk1_1(X2) = X2 ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_8,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| f(esk2_1(X1)) = esk3_0
| esk1_1(X2) = esk3_0
| esk1_1(X2) = X2
| esk2_1(X1) = X1 ),
inference(spm,[status(thm)],[c_0_4,c_0_6]) ).
cnf(c_0_9,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)],[inference(ef,[status(thm)],[c_0_7])]) ).
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)],[inference(ef,[status(thm)],[c_0_8])]) ).
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_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
( esk1_1(X2) = f(g(esk1_1(X2)))
| X2 = esk1_1(X2)
| esk2_1(X1) != g(f(esk2_1(X1)))
| X1 != esk2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13,negated_conjecture,
( esk2_1(g(esk3_0)) = g(esk3_0)
| g(f(esk4_0)) = esk4_0
| esk1_1(esk3_0) = esk3_0 ),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_11])]) ).
cnf(c_0_14,negated_conjecture,
( X1 = g(f(X1))
| X2 = f(g(X2))
| esk4_0 != X1
| esk3_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) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| g(f(esk4_0)) = esk4_0 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_14])]) ).
cnf(c_0_17,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_15,c_0_16]) ).
cnf(c_0_18,negated_conjecture,
( esk4_0 = X1
| X2 = f(g(X2))
| X1 != g(f(X1))
| esk3_0 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_19,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| esk1_1(esk3_0) = esk3_0
| esk1_1(X1) = esk3_0
| esk1_1(X1) = X1 ),
inference(spm,[status(thm)],[c_0_4,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| esk4_0 = X1
| g(f(X1)) != X1 ),
inference(er,[status(thm)],[c_0_18]) ).
cnf(c_0_21,negated_conjecture,
( esk2_1(X1) = g(f(esk2_1(X1)))
| X1 = esk2_1(X1)
| esk1_1(X2) != f(g(esk1_1(X2)))
| X2 != esk1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_22,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| esk1_1(esk3_0) = esk3_0 ),
inference(ef,[status(thm)],[c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| f(g(esk3_0)) = esk3_0
| esk2_1(X2) = esk4_0
| esk2_1(X2) = X2
| esk1_1(X1) = X1 ),
inference(spm,[status(thm)],[c_0_20,c_0_5]) ).
cnf(c_0_24,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_21,c_0_22]),c_0_16]) ).
cnf(c_0_25,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)],[inference(ef,[status(thm)],[c_0_23])]) ).
cnf(c_0_26,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| f(esk2_1(X1)) = esk3_0
| esk2_1(X1) = X1 ),
inference(spm,[status(thm)],[c_0_4,c_0_24]) ).
cnf(c_0_27,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(spm,[status(thm)],[c_0_20,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
( esk2_1(X1) != g(f(esk2_1(X1)))
| X1 != esk2_1(X1)
| esk1_1(X2) != f(g(esk1_1(X2)))
| X2 != esk1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_29,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| esk2_1(X1) = g(esk3_0)
| esk2_1(X1) = X1 ),
inference(spm,[status(thm)],[c_0_24,c_0_26]) ).
cnf(c_0_30,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_25,c_0_27]) ).
cnf(c_0_31,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_28,c_0_22]),c_0_16]) ).
cnf(c_0_32,negated_conjecture,
( esk2_1(g(esk3_0)) = g(esk3_0)
| g(f(esk4_0)) = esk4_0 ),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_29])]) ).
cnf(c_0_33,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)],[inference(ef,[status(thm)],[c_0_30])]) ).
cnf(c_0_34,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| g(f(g(esk3_0))) != g(esk3_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| f(g(esk3_0)) = esk3_0
| esk2_1(esk4_0) = esk4_0
| esk2_1(X1) = X1
| f(g(f(esk4_0))) != f(esk4_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_33]) ).
cnf(c_0_36,negated_conjecture,
g(f(esk4_0)) = esk4_0,
inference(spm,[status(thm)],[c_0_34,c_0_16]) ).
cnf(c_0_37,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| f(g(esk3_0)) = esk3_0
| esk2_1(esk4_0) = esk4_0
| esk2_1(X1) = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36])]) ).
cnf(c_0_38,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| esk2_1(esk4_0) = esk4_0
| esk2_1(X1) = esk4_0
| esk2_1(X1) = X1 ),
inference(spm,[status(thm)],[c_0_20,c_0_37]) ).
cnf(c_0_39,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| esk2_1(esk4_0) = esk4_0 ),
inference(ef,[status(thm)],[c_0_38]) ).
cnf(c_0_40,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| f(g(esk3_0)) = esk3_0
| esk1_1(X1) = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_39]),c_0_36])]) ).
cnf(c_0_41,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| g(esk1_1(X1)) = esk4_0
| esk1_1(X1) = X1 ),
inference(spm,[status(thm)],[c_0_20,c_0_40]) ).
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_40,c_0_41]) ).
cnf(c_0_43,negated_conjecture,
( esk1_1(f(esk4_0)) = f(esk4_0)
| f(g(esk3_0)) = esk3_0 ),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_42])]) ).
cnf(c_0_44,negated_conjecture,
( esk4_0 = X1
| esk3_0 = X2
| X1 != g(f(X1))
| X2 != f(g(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_45,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| g(f(esk2_1(X1))) != esk2_1(X1)
| esk2_1(X1) != X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_43]),c_0_36])]) ).
cnf(c_0_46,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| esk1_1(X2) = esk3_0
| esk2_1(X1) = X1
| esk1_1(X2) = X2
| esk4_0 = X3
| g(f(X3)) != X3 ),
inference(spm,[status(thm)],[c_0_44,c_0_5]) ).
cnf(c_0_47,negated_conjecture,
( f(esk4_0) = esk3_0
| esk4_0 = X1
| g(f(X1)) != X1 ),
inference(spm,[status(thm)],[c_0_44,c_0_36]) ).
cnf(c_0_48,negated_conjecture,
f(g(esk3_0)) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_39]),c_0_36])]) ).
cnf(c_0_49,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(X3) = X3
| esk1_1(X4) = X4
| esk2_1(X2) = X2 ),
inference(spm,[status(thm)],[c_0_46,c_0_5]) ).
cnf(c_0_50,negated_conjecture,
( g(esk3_0) = esk4_0
| f(esk4_0) = esk3_0 ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_51,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| g(esk1_1(X2)) = esk4_0
| esk1_1(X3) = esk3_0
| esk1_1(X3) = X3
| esk1_1(X2) = X2
| esk2_1(X1) = X1 ),
inference(ef,[status(thm)],[c_0_49]) ).
cnf(c_0_52,negated_conjecture,
g(esk3_0) = esk4_0,
inference(spm,[status(thm)],[c_0_36,c_0_50]) ).
cnf(c_0_53,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| g(esk1_1(X2)) = esk4_0
| esk1_1(esk3_0) = esk3_0
| esk2_1(X1) = X1
| esk1_1(X2) = X2 ),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_51])]) ).
cnf(c_0_54,negated_conjecture,
f(esk4_0) = esk3_0,
inference(rw,[status(thm)],[c_0_48,c_0_52]) ).
cnf(c_0_55,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| g(f(esk2_1(X2))) = esk2_1(X2)
| esk1_1(esk3_0) = esk3_0
| esk1_1(X3) = esk3_0
| esk2_1(X1) = X1
| esk2_1(X2) = X2
| esk1_1(X3) = X3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_53]),c_0_54]) ).
cnf(c_0_56,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| esk1_1(esk3_0) = esk3_0
| esk1_1(X2) = esk3_0
| esk1_1(X2) = X2
| esk2_1(X1) = X1 ),
inference(ef,[status(thm)],[c_0_55]) ).
cnf(c_0_57,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| esk1_1(esk3_0) = esk3_0
| esk2_1(X1) = X1 ),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_56])]) ).
cnf(c_0_58,negated_conjecture,
( f(esk2_1(X1)) = esk3_0
| esk1_1(esk3_0) = esk3_0
| esk2_1(X1) = X1
| esk4_0 = X2
| g(f(X2)) != X2 ),
inference(spm,[status(thm)],[c_0_44,c_0_57]) ).
cnf(c_0_59,negated_conjecture,
( f(esk2_1(X1)) = esk3_0
| esk1_1(esk3_0) = esk3_0
| esk2_1(X2) = esk4_0
| esk2_1(X2) = X2
| esk2_1(X1) = X1 ),
inference(spm,[status(thm)],[c_0_58,c_0_57]) ).
cnf(c_0_60,negated_conjecture,
( f(esk2_1(X1)) = esk3_0
| esk2_1(esk4_0) = esk4_0
| esk1_1(esk3_0) = esk3_0
| esk2_1(X1) = X1 ),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_59])]) ).
cnf(c_0_61,negated_conjecture,
( esk2_1(esk4_0) = esk4_0
| esk1_1(esk3_0) = esk3_0
| esk2_1(X1) = esk4_0
| esk2_1(X1) = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_60]),c_0_52]) ).
cnf(c_0_62,negated_conjecture,
( esk1_1(esk3_0) = esk3_0
| esk2_1(esk4_0) = esk4_0 ),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_61])]) ).
cnf(c_0_63,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| esk2_1(esk4_0) = esk4_0
| esk2_1(X1) = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_62]),c_0_52]),c_0_54])]) ).
cnf(c_0_64,negated_conjecture,
( f(esk2_1(X1)) = esk3_0
| esk2_1(esk4_0) = esk4_0
| esk2_1(X1) = X1
| esk4_0 = X2
| g(f(X2)) != X2 ),
inference(spm,[status(thm)],[c_0_44,c_0_63]) ).
cnf(c_0_65,negated_conjecture,
( f(esk2_1(X1)) = esk3_0
| esk2_1(esk4_0) = esk4_0
| esk2_1(X2) = esk4_0
| esk2_1(X2) = X2
| esk2_1(X1) = X1 ),
inference(spm,[status(thm)],[c_0_64,c_0_63]) ).
cnf(c_0_66,negated_conjecture,
( f(esk2_1(X1)) = esk3_0
| esk2_1(esk4_0) = esk4_0
| esk2_1(X1) = X1 ),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_65])]) ).
cnf(c_0_67,negated_conjecture,
( esk2_1(esk4_0) = esk4_0
| esk2_1(X1) = esk4_0
| esk2_1(X1) = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_66]),c_0_52]) ).
cnf(c_0_68,negated_conjecture,
esk2_1(esk4_0) = esk4_0,
inference(ef,[status(thm)],[c_0_67]) ).
cnf(c_0_69,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| 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_68]),c_0_54]),c_0_52])]) ).
cnf(c_0_70,negated_conjecture,
( esk1_1(X1) = esk3_0
| esk1_1(X1) = X1
| esk4_0 = X2
| g(f(X2)) != X2 ),
inference(spm,[status(thm)],[c_0_44,c_0_69]) ).
cnf(c_0_71,negated_conjecture,
( g(esk1_1(X1)) = esk4_0
| esk1_1(X2) = esk3_0
| esk1_1(X1) = X1
| esk1_1(X2) = X2 ),
inference(spm,[status(thm)],[c_0_70,c_0_69]) ).
cnf(c_0_72,negated_conjecture,
( g(esk1_1(X1)) = esk4_0
| esk1_1(esk3_0) = esk3_0
| esk1_1(X1) = X1 ),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_71])]) ).
cnf(c_0_73,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_69,c_0_72]),c_0_54]) ).
cnf(c_0_74,negated_conjecture,
esk1_1(esk3_0) = esk3_0,
inference(ef,[status(thm)],[c_0_73]) ).
cnf(c_0_75,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_28,c_0_74]),c_0_52]),c_0_54])]) ).
cnf(c_0_76,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_68]),c_0_54]),c_0_52])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN551+2 : TPTP v9.2.1. Bugfixed v3.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n025.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 08:39:58 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 1.33/1.75 % Version : CSE_E---1.7
% 1.33/1.75 % Problem : theBenchmark.p
% 1.33/1.75 % SZS status Theorem for theBenchmark.p
% 1.33/1.75 % SZS output start CNFRefutation
% See solution above
% 1.33/1.75 % Total time : 1.371s
%------------------------------------------------------------------------------