%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN348+1 : TPTP v9.2.1. Released v2.0.0.
% 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 : n015.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 05:36:53 PM UTC 2026
% Result : CounterSatisfiable 1.28s 1.73s
% Output : Saturation 1.28s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_17_4,conjecture,
? [X1] :
! [X2] :
? [X3] :
! [X4] :
( ( ( ( big_f(X1,X4)
<=> big_f(X4,X3) )
<=> big_f(X3,X4) )
<=> big_f(X4,X1) )
& ( ( ( big_f(X2,X4)
<=> big_f(X4,X3) )
<=> big_f(X3,X4) )
<=> big_f(X4,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_17_4) ).
fof(c_0_1,negated_conjecture,
~ ? [X1] :
! [X2] :
? [X3] :
! [X4] :
( ( ( ( big_f(X1,X4)
<=> big_f(X4,X3) )
<=> big_f(X3,X4) )
<=> big_f(X4,X1) )
& ( ( ( big_f(X2,X4)
<=> big_f(X4,X3) )
<=> big_f(X3,X4) )
<=> big_f(X4,X2) ) ),
inference(assume_negation,[status(cth)],[church_46_17_4]) ).
fof(c_0_2,negated_conjecture,
! [X9,X11] :
( ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),X11)
| ~ big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X11)
| ~ big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| ~ big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X11)
| ~ big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X11)
| ~ big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk3_2(X9,X11),X11)
| big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X11)
| ~ big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),X11)
| big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X11)
| ~ big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X11)
| ~ big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| ~ big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X11)
| ~ big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk3_2(X9,X11),X11)
| big_f(esk1_1(X9),esk3_2(X9,X11))
| ~ big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X11)
| ~ big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),X11)
| ~ big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| ~ big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| ~ big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| ~ big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| ~ big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk3_2(X9,X11),X11)
| big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| ~ big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),X11)
| big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| ~ big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| ~ big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| ~ big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| ~ big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk3_2(X9,X11),X11)
| big_f(esk1_1(X9),esk3_2(X9,X11))
| ~ big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| ~ big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),X11)
| ~ big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| ~ big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk3_2(X9,X11),X11)
| big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),X11)
| big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| ~ big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk3_2(X9,X11),X11)
| big_f(esk1_1(X9),esk3_2(X9,X11))
| ~ big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),X11)
| ~ big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(esk2_2(X9,X11),X11)
| big_f(X9,esk2_2(X9,X11))
| big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| ~ big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(esk2_2(X9,X11),X11)
| big_f(X9,esk2_2(X9,X11))
| big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(esk2_2(X9,X11),X11)
| big_f(X9,esk2_2(X9,X11))
| big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk3_2(X9,X11),X11)
| big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(esk2_2(X9,X11),X11)
| big_f(X9,esk2_2(X9,X11))
| big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),X11)
| big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(esk2_2(X9,X11),X11)
| big_f(X9,esk2_2(X9,X11))
| big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(esk2_2(X9,X11),X11)
| big_f(X9,esk2_2(X9,X11))
| big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| ~ big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(esk2_2(X9,X11),X11)
| big_f(X9,esk2_2(X9,X11))
| big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk3_2(X9,X11),X11)
| big_f(esk1_1(X9),esk3_2(X9,X11))
| ~ big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(esk2_2(X9,X11),X11)
| big_f(X9,esk2_2(X9,X11))
| big_f(X11,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),X11)
| ~ big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X11)
| big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| ~ big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X11)
| big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X11)
| big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk3_2(X9,X11),X11)
| big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X11)
| big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),X11)
| big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X11)
| big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X11)
| big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| ~ big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X11)
| big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk3_2(X9,X11),X11)
| big_f(esk1_1(X9),esk3_2(X9,X11))
| ~ big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| ~ big_f(esk2_2(X9,X11),X11)
| big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),X11)
| ~ big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| ~ big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk3_2(X9,X11),X11)
| big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),X11)
| big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| ~ big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk3_2(X9,X11),X11)
| big_f(esk1_1(X9),esk3_2(X9,X11))
| ~ big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),X11)
| ~ big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| ~ big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| ~ big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| ~ big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| ~ big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk3_2(X9,X11),X11)
| big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| ~ big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),X11)
| big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| ~ big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| ~ big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| ~ big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| ~ big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk3_2(X9,X11),X11)
| big_f(esk1_1(X9),esk3_2(X9,X11))
| ~ big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(X9,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X11)
| ~ big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),X11)
| ~ big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(esk2_2(X9,X11),X11)
| big_f(X9,esk2_2(X9,X11))
| ~ big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| ~ big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(esk2_2(X9,X11),X11)
| big_f(X9,esk2_2(X9,X11))
| ~ big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(esk2_2(X9,X11),X11)
| big_f(X9,esk2_2(X9,X11))
| ~ big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk3_2(X9,X11),X11)
| big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(X11,esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(esk2_2(X9,X11),X11)
| big_f(X9,esk2_2(X9,X11))
| ~ big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| ~ big_f(esk3_2(X9,X11),X11)
| big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(esk2_2(X9,X11),X11)
| big_f(X9,esk2_2(X9,X11))
| ~ big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(esk2_2(X9,X11),X11)
| big_f(X9,esk2_2(X9,X11))
| ~ big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk1_1(X9),esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),X11)
| ~ big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(esk2_2(X9,X11),X11)
| big_f(X9,esk2_2(X9,X11))
| ~ big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) )
& ( ~ big_f(esk3_2(X9,X11),X11)
| big_f(esk1_1(X9),esk3_2(X9,X11))
| ~ big_f(X11,esk3_2(X9,X11))
| big_f(esk3_2(X9,X11),esk1_1(X9))
| ~ big_f(esk2_2(X9,X11),X11)
| big_f(X9,esk2_2(X9,X11))
| ~ big_f(X11,esk2_2(X9,X11))
| big_f(esk2_2(X9,X11),X9) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).
cnf(c_0_3,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),X2)
| big_f(X2,esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),esk1_1(X1))
| big_f(X1,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X2)
| big_f(X2,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_4,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),X2)
| big_f(X2,esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),esk1_1(X1))
| big_f(X1,esk2_2(X1,X2))
| big_f(X2,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X2)
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_5,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X1))
| big_f(esk3_2(X1,X1),esk1_1(X1))
| big_f(X1,esk3_2(X1,X1))
| big_f(X1,esk2_2(X1,X1))
| big_f(esk2_2(X1,X1),X1)
| big_f(esk3_2(X1,X1),X1) ),
inference(ef,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),X2)
| big_f(X2,esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X2)
| ~ big_f(X2,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_7,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X1))
| big_f(esk3_2(X1,X1),esk1_1(X1))
| big_f(X1,esk3_2(X1,X1))
| big_f(X1,esk2_2(X1,X1))
| big_f(esk3_2(X1,X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_5]) ).
cnf(c_0_8,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),X2)
| big_f(X2,esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),esk1_1(X1))
| big_f(esk2_2(X1,X2),X2)
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(X2,esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_9,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X1))
| big_f(esk3_2(X1,X1),esk1_1(X1))
| big_f(X1,esk3_2(X1,X1))
| big_f(esk3_2(X1,X1),X1)
| ~ big_f(esk2_2(X1,X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_7]) ).
cnf(c_0_10,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X1))
| big_f(esk3_2(X1,X1),esk1_1(X1))
| big_f(X1,esk3_2(X1,X1))
| big_f(esk3_2(X1,X1),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_7]),c_0_7]),c_0_9]),
[final] ).
cnf(c_0_11,negated_conjecture,
( big_f(esk3_2(X1,X2),X2)
| big_f(esk3_2(X1,X2),esk1_1(X1))
| big_f(esk2_2(X1,X2),X2)
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(X2,esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_12,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),X2)
| big_f(esk2_2(X1,X2),X2)
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(X2,esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_13,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),esk1_1(X1))
| big_f(esk2_2(X1,X2),X2)
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(X2,esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_14,negated_conjecture,
( big_f(X2,esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),esk1_1(X1))
| big_f(esk2_2(X1,X2),X2)
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(X2,esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_15,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(X2,esk3_2(X1,X2))
| big_f(esk2_2(X1,X2),X2)
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(X2,esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_16,negated_conjecture,
( big_f(esk3_2(X1,X2),X2)
| big_f(X2,esk3_2(X1,X2))
| big_f(esk2_2(X1,X2),X2)
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(X2,esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_17,negated_conjecture,
( big_f(X1,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X2)
| big_f(X2,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_18,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),esk1_1(X1))
| big_f(X1,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X2)
| ~ big_f(X2,esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_19,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),esk1_1(X1))
| big_f(X1,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X2)
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(X2,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_20,negated_conjecture,
( big_f(esk3_2(X1,X2),X2)
| big_f(X2,esk3_2(X1,X2))
| big_f(X1,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X2)
| big_f(X2,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_21,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),esk1_1(X1))
| big_f(X2,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_22,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),esk1_1(X1))
| big_f(esk2_2(X1,X2),X2)
| big_f(X2,esk2_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_23,negated_conjecture,
( big_f(esk3_2(X1,X2),X2)
| big_f(esk3_2(X1,X2),esk1_1(X1))
| big_f(X1,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X2)
| ~ big_f(X2,esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_24,negated_conjecture,
( big_f(esk3_2(X1,X2),X2)
| big_f(esk3_2(X1,X2),esk1_1(X1))
| big_f(X1,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X2)
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(X2,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_25,negated_conjecture,
( big_f(esk3_2(X1,X2),X2)
| big_f(esk3_2(X1,X2),esk1_1(X1))
| big_f(X2,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_26,negated_conjecture,
( big_f(esk3_2(X1,X2),X2)
| big_f(esk3_2(X1,X2),esk1_1(X1))
| big_f(esk2_2(X1,X2),X2)
| big_f(X2,esk2_2(X1,X2))
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_27,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),X2)
| big_f(X1,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(esk2_2(X1,X2),X2)
| ~ big_f(X2,esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_28,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),X2)
| big_f(X1,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X2)
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(X2,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_29,negated_conjecture,
( big_f(esk3_2(X1,X2),X2)
| big_f(esk3_2(X1,X2),esk1_1(X1))
| big_f(X1,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X2)
| big_f(X2,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(X2,esk3_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_30,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),X2)
| big_f(X1,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X2)
| big_f(X2,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_31,negated_conjecture,
( big_f(X2,esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),esk1_1(X1))
| big_f(X1,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X2)
| big_f(X2,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_32,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),X2)
| big_f(X2,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_33,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),X2)
| big_f(esk2_2(X1,X2),X2)
| big_f(X2,esk2_2(X1,X2))
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_34,negated_conjecture,
( big_f(X2,esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),esk1_1(X1))
| big_f(X1,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(esk2_2(X1,X2),X2)
| ~ big_f(X2,esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_35,negated_conjecture,
( big_f(X2,esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),esk1_1(X1))
| big_f(X1,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X2)
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(X2,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_36,negated_conjecture,
( big_f(X2,esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),esk1_1(X1))
| big_f(X2,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_37,negated_conjecture,
( big_f(X2,esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),esk1_1(X1))
| big_f(esk2_2(X1,X2),X2)
| big_f(X2,esk2_2(X1,X2))
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_38,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(X2,esk3_2(X1,X2))
| big_f(X1,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X2)
| big_f(X2,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(esk3_2(X1,X2),esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_39,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(X2,esk3_2(X1,X2))
| big_f(X1,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(esk2_2(X1,X2),X2)
| ~ big_f(X2,esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_40,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(X2,esk3_2(X1,X2))
| big_f(X1,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X2)
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(X2,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_41,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(X2,esk3_2(X1,X2))
| big_f(X2,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_42,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(X2,esk3_2(X1,X2))
| big_f(esk2_2(X1,X2),X2)
| big_f(X2,esk2_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_43,negated_conjecture,
( big_f(esk3_2(X1,X2),X2)
| big_f(X2,esk3_2(X1,X2))
| big_f(X1,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(esk2_2(X1,X2),X2)
| ~ big_f(X2,esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_44,negated_conjecture,
( big_f(esk3_2(X1,X2),X2)
| big_f(X2,esk3_2(X1,X2))
| big_f(X1,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X2)
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(X2,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_45,negated_conjecture,
( big_f(esk3_2(X1,X2),X2)
| big_f(X2,esk3_2(X1,X2))
| big_f(X2,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_46,negated_conjecture,
( big_f(esk3_2(X1,X2),X2)
| big_f(X2,esk3_2(X1,X2))
| big_f(esk2_2(X1,X2),X2)
| big_f(X2,esk2_2(X1,X2))
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_47,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),X2)
| big_f(X2,esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),esk1_1(X1))
| big_f(X1,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(esk2_2(X1,X2),X2)
| ~ big_f(X2,esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_48,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),X2)
| big_f(X2,esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),esk1_1(X1))
| big_f(X1,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X2)
| ~ big_f(X2,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_49,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),esk1_1(X1))
| big_f(X1,esk2_2(X1,X2))
| big_f(X2,esk2_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X2)
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_50,negated_conjecture,
( big_f(esk3_2(X1,X2),X2)
| big_f(esk3_2(X1,X2),esk1_1(X1))
| big_f(X1,esk2_2(X1,X2))
| big_f(X2,esk2_2(X1,X2))
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X2)
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_51,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),X2)
| big_f(X1,esk2_2(X1,X2))
| big_f(X2,esk2_2(X1,X2))
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(esk2_2(X1,X2),X2)
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_52,negated_conjecture,
( big_f(X2,esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),esk1_1(X1))
| big_f(X1,esk2_2(X1,X2))
| big_f(X2,esk2_2(X1,X2))
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(esk2_2(X1,X2),X2)
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_53,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(X2,esk3_2(X1,X2))
| big_f(X1,esk2_2(X1,X2))
| big_f(X2,esk2_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(esk2_2(X1,X2),X2)
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_54,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),esk1_1(X1))
| big_f(X1,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X2)
| big_f(X2,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(X2,esk3_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_55,negated_conjecture,
( big_f(esk3_2(X1,X2),X2)
| big_f(X2,esk3_2(X1,X2))
| big_f(X1,esk2_2(X1,X2))
| big_f(X2,esk2_2(X1,X2))
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(esk2_2(X1,X2),X2)
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_56,negated_conjecture,
( big_f(esk2_2(X1,X2),X2)
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(X2,esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_57,negated_conjecture,
( big_f(X1,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(esk2_2(X1,X2),X2)
| ~ big_f(X2,esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_58,negated_conjecture,
( big_f(X1,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X2)
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(X2,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_59,negated_conjecture,
( big_f(X2,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_60,negated_conjecture,
( big_f(esk2_2(X1,X2),X2)
| big_f(X2,esk2_2(X1,X2))
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_61,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X2)
| ~ big_f(X2,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_62,negated_conjecture,
( big_f(esk3_2(X1,X2),X2)
| big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X2)
| ~ big_f(X2,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_63,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),X2)
| big_f(X2,esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),esk1_1(X1))
| big_f(X2,esk2_2(X1,X2))
| big_f(esk2_2(X1,X2),X1)
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_64,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),X2)
| big_f(X2,esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),esk1_1(X1))
| big_f(esk2_2(X1,X2),X2)
| big_f(X2,esk2_2(X1,X2))
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_65,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),X2)
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X2)
| ~ big_f(X2,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_66,negated_conjecture,
( big_f(X2,esk3_2(X1,X2))
| big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X2)
| ~ big_f(X2,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_67,negated_conjecture,
( big_f(esk1_1(X1),esk3_2(X1,X2))
| big_f(X2,esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X2)
| ~ big_f(X2,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_68,negated_conjecture,
( big_f(esk3_2(X1,X2),X2)
| big_f(X2,esk3_2(X1,X2))
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X2)
| ~ big_f(X2,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_69,negated_conjecture,
( big_f(X1,esk2_2(X1,X2))
| big_f(X2,esk2_2(X1,X2))
| ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(esk2_2(X1,X2),X2)
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_70,negated_conjecture,
( ~ big_f(esk1_1(X1),esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),X2)
| ~ big_f(X2,esk3_2(X1,X2))
| ~ big_f(esk3_2(X1,X2),esk1_1(X1))
| ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X2)
| ~ big_f(X2,esk2_2(X1,X2))
| ~ big_f(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN348+1 : TPTP v9.2.1. Released v2.0.0.
% 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
% 0.14/0.33 % Computer : n015.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 08:29:32 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.28/1.73 % Version : CSE_E---1.7
% 1.28/1.73 % Problem : theBenchmark.p
% 1.28/1.73 % SZS status CounterSatisfiable for theBenchmark.p
% 1.28/1.73 % SZS output start Saturation
% See solution above
% 1.28/1.73 % Total time : 1.368s
%------------------------------------------------------------------------------