%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN328+1 : TPTP v9.2.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n017.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 05:36:48 PM UTC 2026
% Result : Theorem 0.79s 1.62s
% Output : CNFRefutation 1.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 1
% Syntax : Number of formulae : 195 ( 5 unt; 0 def)
% Number of atoms : 562 ( 0 equ)
% Maximal formula atoms : 28 ( 2 avg)
% Number of connectives : 634 ( 267 ~; 333 |; 14 &)
% ( 6 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 0 con; 1-1 aty)
% Number of variables : 198 ( 4 sgn 5 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_12_3,conjecture,
? [X1] :
! [X2,X3] :
( ( ( big_f(X2)
=> big_g(X2) )
<=> big_f(X1) )
=> ( ( ( big_f(X2)
=> big_h(X2) )
<=> big_g(X1) )
=> ( ( ( ( big_f(X2)
=> big_g(X2) )
=> big_h(X2) )
<=> big_h(X1) )
=> ( big_f(X3)
& big_g(X3)
& big_h(X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_12_3) ).
fof(i_0_1,negated_conjecture,
~ ? [X1] :
! [X2,X3] :
( ( ( big_f(X2)
=> big_g(X2) )
<=> big_f(X1) )
=> ( ( ( big_f(X2)
=> big_h(X2) )
<=> big_g(X1) )
=> ( ( ( ( big_f(X2)
=> big_g(X2) )
=> big_h(X2) )
<=> big_h(X1) )
=> ( big_f(X3)
& big_g(X3)
& big_h(X3) ) ) ) ),
inference(assume_negation,[status(cth)],[church_46_12_3]) ).
fof(i_0_2,negated_conjecture,
! [X7] :
( ( big_f(esk1_1(X7))
| big_f(X7) )
& ( ~ big_g(esk1_1(X7))
| big_f(X7) )
& ( ~ big_f(X7)
| ~ big_f(esk1_1(X7))
| big_g(esk1_1(X7)) )
& ( big_f(esk1_1(X7))
| big_g(X7) )
& ( ~ big_h(esk1_1(X7))
| big_g(X7) )
& ( ~ big_g(X7)
| ~ big_f(esk1_1(X7))
| big_h(esk1_1(X7)) )
& ( ~ big_f(esk1_1(X7))
| big_g(esk1_1(X7))
| big_h(X7) )
& ( ~ big_h(esk1_1(X7))
| big_h(X7) )
& ( big_f(esk1_1(X7))
| big_h(esk1_1(X7))
| ~ big_h(X7) )
& ( ~ big_g(esk1_1(X7))
| big_h(esk1_1(X7))
| ~ big_h(X7) )
& ( ~ big_f(esk2_1(X7))
| ~ big_g(esk3_1(X7))
| ~ big_h(esk4_1(X7)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1])])])])]) ).
cnf(i_0_3,negated_conjecture,
( ~ big_f(esk2_1(X1))
| ~ big_g(esk3_1(X1))
| ~ big_h(esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_4,negated_conjecture,
( big_h(esk1_1(X1))
| ~ big_g(esk1_1(X1))
| ~ big_h(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_5,negated_conjecture,
( big_h(esk1_1(X1))
| ~ big_g(X1)
| ~ big_f(esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_6,negated_conjecture,
( big_g(esk1_1(X1))
| ~ big_f(X1)
| ~ big_f(esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_7,negated_conjecture,
( big_g(esk1_1(X1))
| big_h(X1)
| ~ big_f(esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_8,negated_conjecture,
( big_f(esk1_1(X1))
| big_h(esk1_1(X1))
| ~ big_h(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_9,negated_conjecture,
( big_h(X1)
| ~ big_h(esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_10,negated_conjecture,
( big_g(X1)
| ~ big_h(esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_11,negated_conjecture,
( big_f(X1)
| ~ big_g(esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_12,negated_conjecture,
( big_f(esk1_1(X1))
| big_g(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_13,negated_conjecture,
( big_f(esk1_1(X1))
| big_f(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_14,plain,
( big_g(X1)
| ~ big_h(esk1_1(esk1_1(X1))) ),
inference(scs_inference,[],[i_0_9,i_0_10]) ).
cnf(i_0_15,plain,
( ~ big_g(esk1_1(esk2_1(X1)))
| ~ big_g(esk3_1(X1))
| ~ big_h(esk4_1(X1)) ),
inference(scs_inference,[],[i_0_11,i_0_3]) ).
cnf(i_0_16,plain,
( big_f(X1)
| big_f(esk1_1(esk1_1(X1))) ),
inference(scs_inference,[],[i_0_12,i_0_11]) ).
cnf(i_0_17,plain,
( ~ big_g(X1)
| big_f(esk1_1(esk1_1(X1)))
| big_h(esk1_1(X1)) ),
inference(scs_inference,[],[i_0_13,i_0_5]) ).
cnf(i_0_18,plain,
( big_g(X1)
| big_g(esk1_1(esk1_1(esk1_1(X1))))
| ~ big_f(esk1_1(esk1_1(esk1_1(X1)))) ),
inference(scs_inference,[],[i_0_14,i_0_7]) ).
cnf(i_0_19,plain,
( big_f(X1)
| big_g(esk1_1(esk1_1(esk1_1(X1))))
| ~ big_f(esk1_1(esk1_1(esk1_1(X1)))) ),
inference(scs_inference,[],[i_0_16,i_0_6]) ).
cnf(i_0_20,plain,
( ~ big_h(esk1_1(X1))
| big_h(esk1_1(X1))
| ~ big_g(esk1_1(X1)) ),
inference(scs_inference,[],[i_0_4,i_0_9]) ).
cnf(i_0_21,plain,
( ~ big_h(esk1_1(X1))
| big_f(esk1_1(X1))
| big_h(esk1_1(X1)) ),
inference(scs_inference,[],[i_0_8,i_0_9]) ).
cnf(i_0_22,plain,
( big_h(esk1_1(X1))
| ~ big_g(X1)
| big_g(esk1_1(esk1_1(X1))) ),
inference(scs_inference,[],[i_0_17,i_0_7]) ).
cnf(i_0_23,plain,
( big_h(esk1_1(X1))
| big_g(esk1_1(esk1_1(X1)))
| ~ big_h(esk1_1(X1)) ),
inference(scs_inference,[],[i_0_22,i_0_10]) ).
cnf(i_0_24,plain,
( ~ big_h(esk4_1(X1))
| ~ big_g(esk1_1(esk2_1(X1)))
| big_f(esk1_1(esk3_1(X1))) ),
inference(scs_inference,[],[i_0_15,i_0_12]) ).
cnf(i_0_25,plain,
( big_f(esk1_1(esk3_1(X1)))
| ~ big_h(esk4_1(X1))
| ~ big_h(esk1_1(esk1_1(esk2_1(X1)))) ),
inference(scs_inference,[],[i_0_24,i_0_10]) ).
cnf(i_0_26,plain,
( ~ big_h(X1)
| big_h(X1)
| ~ big_g(esk1_1(X1)) ),
inference(scs_inference,[],[i_0_9,i_0_4]) ).
cnf(i_0_27,plain,
( ~ big_g(esk1_1(esk2_1(X1)))
| big_f(esk1_1(esk3_1(X1)))
| ~ big_h(esk1_1(esk4_1(X1))) ),
inference(scs_inference,[],[i_0_9,i_0_24]) ).
cnf(i_0_28,plain,
( ~ big_g(X1)
| big_h(X1)
| ~ big_f(esk1_1(X1)) ),
inference(scs_inference,[],[i_0_9,i_0_5]) ).
cnf(i_0_29,plain,
( ~ big_f(esk1_1(esk1_1(X1)))
| ~ big_g(esk1_1(X1))
| big_g(X1) ),
inference(scs_inference,[],[i_0_28,i_0_10]) ).
cnf(i_0_30,plain,
( ~ big_f(esk1_1(esk1_1(esk1_1(X1))))
| ~ big_g(esk1_1(esk1_1(X1)))
| big_f(X1) ),
inference(scs_inference,[],[i_0_29,i_0_11]) ).
cnf(i_0_31,plain,
( big_h(X1)
| ~ big_f(esk1_1(esk1_1(X1)))
| big_g(esk1_1(esk1_1(X1))) ),
inference(scs_inference,[],[i_0_9,i_0_7]) ).
cnf(i_0_32,plain,
( big_g(esk1_1(esk1_1(X1)))
| big_h(X1)
| ~ big_g(esk1_1(esk1_1(esk1_1(X1)))) ),
inference(scs_inference,[],[i_0_31,i_0_11]) ).
cnf(i_0_33,plain,
( ~ big_h(X1)
| big_h(X1)
| big_f(esk1_1(X1)) ),
inference(scs_inference,[],[i_0_9,i_0_8]) ).
cnf(i_0_34,plain,
( big_f(X1)
| ~ big_h(esk1_1(esk1_1(X1))) ),
inference(scs_inference,[],[i_0_10,i_0_11]) ).
cnf(i_0_35,plain,
( big_f(X1)
| ~ big_h(esk1_1(esk1_1(esk1_1(X1)))) ),
inference(scs_inference,[],[i_0_34,i_0_9]) ).
cnf(i_0_36,plain,
( ~ big_h(esk1_1(esk3_1(X1)))
| ~ big_h(esk4_1(X1))
| ~ big_f(esk2_1(X1)) ),
inference(scs_inference,[],[i_0_10,i_0_3]) ).
cnf(i_0_37,plain,
( ~ big_f(esk2_1(X1))
| ~ big_h(esk1_1(esk3_1(X1)))
| ~ big_h(esk1_1(esk4_1(X1))) ),
inference(scs_inference,[],[i_0_36,i_0_9]) ).
cnf(i_0_38,plain,
( ~ big_h(esk1_1(esk4_1(X1)))
| ~ big_f(esk2_1(X1))
| ~ big_h(esk1_1(esk1_1(esk3_1(X1)))) ),
inference(scs_inference,[],[i_0_37,i_0_9]) ).
cnf(i_0_39,plain,
( ~ big_h(esk1_1(X1))
| ~ big_f(esk1_1(X1))
| big_h(esk1_1(X1)) ),
inference(scs_inference,[],[i_0_10,i_0_5]) ).
cnf(i_0_40,plain,
( ~ big_g(esk3_1(X1))
| ~ big_h(esk4_1(X1))
| ~ big_h(esk1_1(esk1_1(esk2_1(X1)))) ),
inference(scs_inference,[],[i_0_10,i_0_15]) ).
cnf(i_0_41,plain,
( ~ big_h(esk4_1(X1))
| ~ big_g(esk1_1(esk2_1(X1)))
| ~ big_h(esk1_1(esk3_1(X1))) ),
inference(scs_inference,[],[i_0_10,i_0_15]) ).
cnf(i_0_42,plain,
( ~ big_h(esk1_1(esk3_1(X1)))
| ~ big_h(esk4_1(X1))
| big_f(esk1_1(esk1_1(esk2_1(X1)))) ),
inference(scs_inference,[],[i_0_41,i_0_12]) ).
cnf(i_0_43,plain,
( big_f(esk1_1(esk3_1(X1)))
| ~ big_h(esk1_1(esk4_1(X1)))
| ~ big_h(esk1_1(esk1_1(esk2_1(X1)))) ),
inference(scs_inference,[],[i_0_10,i_0_27]) ).
cnf(i_0_44,plain,
( ~ big_h(esk1_1(esk3_1(X1)))
| ~ big_h(esk4_1(X1))
| ~ big_h(esk1_1(esk1_1(esk2_1(X1)))) ),
inference(scs_inference,[],[i_0_10,i_0_41]) ).
cnf(i_0_45,plain,
( ~ big_f(X1)
| big_f(X1)
| ~ big_f(esk1_1(X1)) ),
inference(scs_inference,[],[i_0_11,i_0_6]) ).
cnf(i_0_46,plain,
( ~ big_g(X1)
| ~ big_g(esk1_1(esk1_1(X1)))
| big_h(esk1_1(X1)) ),
inference(scs_inference,[],[i_0_11,i_0_5]) ).
cnf(i_0_47,plain,
( big_h(esk1_1(X1))
| ~ big_g(X1)
| ~ big_f(esk1_1(esk1_1(X1))) ),
inference(scs_inference,[],[i_0_46,i_0_7]) ).
cnf(i_0_48,plain,
( big_h(esk1_1(X1))
| ~ big_g(X1) ),
inference(scs_inference,[],[i_0_47,i_0_17]) ).
cnf(i_0_49,plain,
( big_h(esk1_1(X1))
| ~ big_h(esk1_1(X1)) ),
inference(scs_inference,[],[i_0_48,i_0_10]) ).
cnf(i_0_50,plain,
( big_h(X1)
| big_f(X1)
| ~ big_f(esk1_1(X1)) ),
inference(scs_inference,[],[i_0_11,i_0_7]) ).
cnf(i_0_51,plain,
( big_f(X1)
| big_h(X1) ),
inference(scs_inference,[],[i_0_50,i_0_13]) ).
cnf(i_0_52,plain,
( big_f(esk1_1(X1))
| big_h(X1) ),
inference(scs_inference,[],[i_0_51,i_0_9]) ).
cnf(i_0_53,plain,
( big_f(esk1_1(esk1_1(X1)))
| big_g(X1) ),
inference(scs_inference,[],[i_0_52,i_0_10]) ).
cnf(i_0_54,plain,
( big_f(esk1_1(esk1_1(esk1_1(X1))))
| big_f(X1) ),
inference(scs_inference,[],[i_0_53,i_0_11]) ).
cnf(i_0_55,plain,
( big_h(esk2_1(X1))
| ~ big_g(esk3_1(X1))
| ~ big_h(esk4_1(X1)) ),
inference(scs_inference,[],[i_0_51,i_0_3]) ).
cnf(i_0_56,plain,
( ~ big_h(esk4_1(X1))
| big_h(esk2_1(X1))
| ~ big_h(esk1_1(esk3_1(X1))) ),
inference(scs_inference,[],[i_0_55,i_0_10]) ).
cnf(i_0_57,plain,
( big_f(esk4_1(X1))
| ~ big_g(esk3_1(X1))
| ~ big_f(esk2_1(X1)) ),
inference(scs_inference,[],[i_0_51,i_0_3]) ).
cnf(i_0_58,plain,
( ~ big_f(esk2_1(X1))
| big_f(esk4_1(X1))
| ~ big_h(esk1_1(esk3_1(X1))) ),
inference(scs_inference,[],[i_0_57,i_0_10]) ).
cnf(i_0_59,plain,
( big_h(esk1_1(X1))
| ~ big_f(X1)
| big_g(esk1_1(X1)) ),
inference(scs_inference,[],[i_0_51,i_0_6]) ).
cnf(i_0_60,plain,
( big_h(esk1_1(X1))
| big_g(esk1_1(X1))
| ~ big_g(esk1_1(X1)) ),
inference(scs_inference,[],[i_0_59,i_0_11]) ).
cnf(i_0_61,plain,
( big_g(esk1_1(X1))
| ~ big_g(esk1_1(X1))
| big_h(X1) ),
inference(scs_inference,[],[i_0_60,i_0_9]) ).
cnf(i_0_62,plain,
( ~ big_g(esk3_1(X1))
| big_f(esk4_1(X1))
| ~ big_g(esk1_1(esk2_1(X1))) ),
inference(scs_inference,[],[i_0_51,i_0_15]) ).
cnf(i_0_63,plain,
( big_h(esk1_1(X1))
| big_h(X1)
| big_g(esk1_1(X1)) ),
inference(scs_inference,[],[i_0_51,i_0_7]) ).
cnf(i_0_64,plain,
( big_g(esk1_1(X1))
| big_h(X1) ),
inference(scs_inference,[],[i_0_63,i_0_9]) ).
cnf(i_0_65,plain,
( big_g(esk1_1(esk1_1(X1)))
| big_g(X1) ),
inference(scs_inference,[],[i_0_64,i_0_10]) ).
cnf(i_0_66,plain,
( big_g(esk1_1(esk1_1(esk1_1(X1))))
| big_f(X1) ),
inference(scs_inference,[],[i_0_65,i_0_11]) ).
cnf(i_0_67,plain,
( ~ big_g(esk1_1(esk2_1(X1)))
| big_f(esk1_1(esk3_1(X1)))
| big_f(esk4_1(X1)) ),
inference(scs_inference,[],[i_0_51,i_0_24]) ).
cnf(i_0_68,plain,
( big_h(esk1_1(esk1_1(X1)))
| big_g(esk1_1(esk1_1(X1)))
| big_h(X1) ),
inference(scs_inference,[],[i_0_51,i_0_31]) ).
cnf(i_0_69,plain,
( big_h(esk1_1(esk1_1(esk1_1(X1))))
| big_g(esk1_1(esk1_1(esk1_1(X1))))
| big_h(X1) ),
inference(scs_inference,[],[i_0_68,i_0_9]) ).
cnf(i_0_70,plain,
( big_f(esk1_1(esk3_1(X1)))
| big_f(esk1_1(esk4_1(X1)))
| ~ big_g(esk1_1(esk2_1(X1))) ),
inference(scs_inference,[],[i_0_51,i_0_27]) ).
cnf(i_0_71,plain,
( big_h(esk2_1(X1))
| ~ big_h(esk1_1(esk3_1(X1)))
| ~ big_h(esk1_1(esk4_1(X1))) ),
inference(scs_inference,[],[i_0_51,i_0_37]) ).
cnf(i_0_72,plain,
( ~ big_h(esk1_1(esk4_1(X1)))
| big_h(esk2_1(X1))
| ~ big_h(esk1_1(esk1_1(esk3_1(X1)))) ),
inference(scs_inference,[],[i_0_71,i_0_9]) ).
cnf(i_0_73,plain,
( ~ big_h(esk4_1(X1))
| ~ big_f(esk2_1(X1))
| big_f(esk1_1(esk3_1(X1))) ),
inference(scs_inference,[],[i_0_51,i_0_36]) ).
cnf(i_0_74,plain,
( big_f(esk1_1(esk3_1(X1)))
| ~ big_h(esk4_1(X1))
| big_f(esk1_1(esk2_1(X1))) ),
inference(scs_inference,[],[i_0_73,i_0_13]) ).
cnf(i_0_75,plain,
( big_f(esk1_1(esk2_1(X1)))
| big_f(esk1_1(esk3_1(X1)))
| ~ big_h(esk1_1(esk4_1(X1))) ),
inference(scs_inference,[],[i_0_74,i_0_9]) ).
cnf(i_0_76,plain,
( big_h(esk2_1(X1))
| ~ big_g(esk3_1(X1))
| big_f(esk4_1(X1)) ),
inference(scs_inference,[],[i_0_51,i_0_57]) ).
cnf(i_0_77,plain,
( big_f(esk4_1(X1))
| big_h(esk2_1(X1))
| ~ big_h(esk1_1(esk3_1(X1))) ),
inference(scs_inference,[],[i_0_76,i_0_10]) ).
cnf(i_0_78,plain,
( ~ big_h(esk1_1(esk4_1(X1)))
| big_f(esk1_1(esk3_1(X1)))
| ~ big_f(esk2_1(X1)) ),
inference(scs_inference,[],[i_0_51,i_0_37]) ).
cnf(i_0_79,plain,
( big_h(esk2_1(X1))
| big_f(esk1_1(esk3_1(X1)))
| ~ big_h(esk4_1(X1)) ),
inference(scs_inference,[],[i_0_51,i_0_73]) ).
cnf(i_0_80,plain,
( ~ big_h(esk1_1(esk3_1(X1)))
| big_f(esk1_1(esk4_1(X1)))
| ~ big_f(esk2_1(X1)) ),
inference(scs_inference,[],[i_0_51,i_0_37]) ).
cnf(i_0_81,plain,
( big_h(esk2_1(X1))
| big_f(esk1_1(esk3_1(X1)))
| ~ big_h(esk1_1(esk4_1(X1))) ),
inference(scs_inference,[],[i_0_51,i_0_78]) ).
cnf(i_0_82,plain,
( ~ big_g(esk1_1(esk2_1(X1)))
| ~ big_h(esk1_1(esk3_1(X1)))
| big_f(esk4_1(X1)) ),
inference(scs_inference,[],[i_0_51,i_0_41]) ).
cnf(i_0_83,plain,
( big_f(esk4_1(X1))
| ~ big_g(esk1_1(esk2_1(X1)))
| ~ big_h(esk1_1(esk1_1(esk3_1(X1)))) ),
inference(scs_inference,[],[i_0_82,i_0_9]) ).
cnf(i_0_84,plain,
( big_h(esk2_1(X1))
| big_f(esk1_1(esk4_1(X1)))
| ~ big_h(esk1_1(esk3_1(X1))) ),
inference(scs_inference,[],[i_0_51,i_0_80]) ).
cnf(i_0_85,plain,
( big_f(esk4_1(X1))
| big_f(esk1_1(esk3_1(X1)))
| ~ big_f(esk2_1(X1)) ),
inference(scs_inference,[],[i_0_51,i_0_58]) ).
cnf(i_0_86,plain,
( big_h(esk2_1(X1))
| big_f(esk1_1(esk3_1(X1)))
| big_f(esk4_1(X1)) ),
inference(scs_inference,[],[i_0_51,i_0_85]) ).
cnf(i_0_87,plain,
( big_f(esk1_1(esk2_1(X1)))
| big_f(esk4_1(X1))
| big_f(esk1_1(esk3_1(X1))) ),
inference(scs_inference,[],[i_0_51,i_0_74]) ).
cnf(i_0_88,plain,
( big_f(esk1_1(esk3_1(X1)))
| big_f(esk1_1(esk4_1(X1)))
| big_f(esk1_1(esk2_1(X1))) ),
inference(scs_inference,[],[i_0_51,i_0_75]) ).
cnf(i_0_89,plain,
( ~ big_f(esk2_1(X1))
| big_f(esk1_1(esk3_1(X1)))
| big_f(esk1_1(esk4_1(X1))) ),
inference(scs_inference,[],[i_0_51,i_0_78]) ).
cnf(i_0_90,plain,
( big_h(esk2_1(X1))
| big_f(esk1_1(esk3_1(X1)))
| big_f(esk1_1(esk4_1(X1))) ),
inference(scs_inference,[],[i_0_51,i_0_89]) ).
cnf(i_0_91,plain,
( ~ big_g(esk1_1(X1))
| big_g(esk1_1(X1))
| ~ big_f(esk1_1(X1)) ),
inference(scs_inference,[],[i_0_11,i_0_6]) ).
cnf(i_0_92,plain,
( ~ big_f(X1)
| ~ big_g(esk1_1(esk1_1(X1)))
| big_g(esk1_1(X1)) ),
inference(scs_inference,[],[i_0_11,i_0_6]) ).
cnf(i_0_93,plain,
( big_g(esk1_1(X1))
| big_g(X1)
| ~ big_f(X1) ),
inference(scs_inference,[],[i_0_92,i_0_65]) ).
cnf(i_0_94,plain,
( ~ big_f(esk1_1(X1))
| big_g(esk1_1(esk1_1(X1)))
| big_f(X1) ),
inference(scs_inference,[],[i_0_93,i_0_11]) ).
cnf(i_0_95,plain,
( big_f(X1)
| big_g(esk1_1(esk1_1(X1))) ),
inference(scs_inference,[],[i_0_94,i_0_13]) ).
cnf(i_0_96,plain,
( big_f(X1)
| big_h(esk1_1(esk1_1(esk1_1(X1)))) ),
inference(scs_inference,[],[i_0_95,i_0_48]) ).
cnf(i_0_97,plain,
( ~ big_g(esk1_1(esk1_1(X1)))
| big_f(X1)
| ~ big_f(X1) ),
inference(scs_inference,[],[i_0_11,i_0_92]) ).
cnf(i_0_98,plain,
( big_g(X1)
| ~ big_f(X1)
| big_f(X1) ),
inference(scs_inference,[],[i_0_11,i_0_93]) ).
cnf(i_0_99,plain,
( big_h(X1)
| ~ big_g(X1)
| ~ big_g(esk1_1(esk1_1(X1))) ),
inference(scs_inference,[],[i_0_11,i_0_28]) ).
cnf(i_0_100,plain,
( ~ big_g(esk1_1(esk1_1(esk1_1(X1))))
| ~ big_f(X1)
| big_h(esk1_1(X1)) ),
inference(scs_inference,[],[i_0_99,i_0_59]) ).
cnf(i_0_101,plain,
( big_g(X1)
| ~ big_g(esk1_1(X1))
| ~ big_g(esk1_1(esk1_1(esk1_1(X1)))) ),
inference(scs_inference,[],[i_0_11,i_0_29]) ).
cnf(i_0_102,plain,
( ~ big_h(esk1_1(esk3_1(X1)))
| ~ big_h(esk1_1(esk4_1(X1)))
| ~ big_g(esk1_1(esk2_1(X1))) ),
inference(scs_inference,[],[i_0_11,i_0_37]) ).
cnf(i_0_103,plain,
( ~ big_g(esk1_1(esk2_1(X1)))
| ~ big_h(esk1_1(esk3_1(X1)))
| ~ big_h(esk1_1(esk1_1(esk4_1(X1)))) ),
inference(scs_inference,[],[i_0_102,i_0_9]) ).
cnf(i_0_104,plain,
( big_f(esk1_1(esk4_1(X1)))
| ~ big_h(esk1_1(esk3_1(X1)))
| ~ big_g(esk1_1(esk2_1(X1))) ),
inference(scs_inference,[],[i_0_11,i_0_80]) ).
cnf(i_0_105,plain,
( ~ big_g(esk1_1(esk2_1(X1)))
| big_f(esk1_1(esk4_1(X1)))
| ~ big_h(esk1_1(esk1_1(esk3_1(X1)))) ),
inference(scs_inference,[],[i_0_104,i_0_9]) ).
cnf(i_0_106,plain,
( big_g(esk1_1(X1))
| ~ big_g(esk1_1(esk1_1(X1)))
| ~ big_g(esk1_1(X1)) ),
inference(scs_inference,[],[i_0_11,i_0_92]) ).
cnf(i_0_107,plain,
( big_g(X1)
| big_g(esk1_1(X1))
| ~ big_g(esk1_1(X1)) ),
inference(scs_inference,[],[i_0_11,i_0_93]) ).
cnf(i_0_108,plain,
( big_g(X1)
| big_h(X1)
| ~ big_g(X1) ),
inference(scs_inference,[],[i_0_12,i_0_28]) ).
cnf(i_0_109,plain,
( ~ big_g(esk3_1(X1))
| ~ big_h(esk4_1(X1))
| big_f(esk1_1(esk1_1(esk2_1(X1)))) ),
inference(scs_inference,[],[i_0_12,i_0_15]) ).
cnf(i_0_110,plain,
( big_f(esk1_1(esk3_1(X1)))
| ~ big_h(esk4_1(X1))
| big_f(esk1_1(esk1_1(esk2_1(X1)))) ),
inference(scs_inference,[],[i_0_12,i_0_24]) ).
cnf(i_0_111,plain,
( ~ big_h(esk1_1(esk4_1(X1)))
| big_f(esk1_1(esk3_1(X1)))
| big_f(esk1_1(esk1_1(esk2_1(X1)))) ),
inference(scs_inference,[],[i_0_12,i_0_27]) ).
cnf(i_0_112,plain,
( big_f(esk4_1(X1))
| ~ big_g(esk3_1(X1))
| big_f(esk1_1(esk1_1(esk2_1(X1)))) ),
inference(scs_inference,[],[i_0_12,i_0_62]) ).
cnf(i_0_113,plain,
( big_f(esk1_1(esk3_1(X1)))
| big_f(esk4_1(X1))
| big_f(esk1_1(esk1_1(esk2_1(X1)))) ),
inference(scs_inference,[],[i_0_12,i_0_67]) ).
cnf(i_0_114,plain,
( big_f(esk1_1(esk4_1(X1)))
| big_f(esk1_1(esk3_1(X1)))
| big_f(esk1_1(esk1_1(esk2_1(X1)))) ),
inference(scs_inference,[],[i_0_12,i_0_70]) ).
cnf(i_0_115,plain,
( ~ big_h(esk1_1(esk3_1(X1)))
| big_f(esk4_1(X1))
| big_f(esk1_1(esk1_1(esk2_1(X1)))) ),
inference(scs_inference,[],[i_0_12,i_0_82]) ).
cnf(i_0_116,plain,
( ~ big_g(X1)
| big_h(X1)
| big_f(esk1_1(esk1_1(esk1_1(X1)))) ),
inference(scs_inference,[],[i_0_12,i_0_99]) ).
cnf(i_0_117,plain,
( ~ big_h(esk1_1(esk4_1(X1)))
| ~ big_h(esk1_1(esk3_1(X1)))
| big_f(esk1_1(esk1_1(esk2_1(X1)))) ),
inference(scs_inference,[],[i_0_12,i_0_102]) ).
cnf(i_0_118,plain,
( ~ big_h(esk1_1(esk3_1(X1)))
| big_f(esk1_1(esk4_1(X1)))
| big_f(esk1_1(esk1_1(esk2_1(X1)))) ),
inference(scs_inference,[],[i_0_12,i_0_104]) ).
cnf(i_0_119,plain,
( big_f(X1)
| ~ big_f(X1)
| big_g(esk1_1(X1)) ),
inference(scs_inference,[],[i_0_13,i_0_6]) ).
cnf(i_0_120,plain,
( ~ big_g(esk3_1(X1))
| ~ big_h(esk4_1(X1))
| big_f(esk1_1(esk2_1(X1))) ),
inference(scs_inference,[],[i_0_13,i_0_3]) ).
cnf(i_0_121,plain,
( big_f(esk1_1(esk2_1(X1)))
| ~ big_g(esk3_1(X1))
| ~ big_h(esk1_1(esk4_1(X1))) ),
inference(scs_inference,[],[i_0_120,i_0_9]) ).
cnf(i_0_122,plain,
( ~ big_h(esk1_1(esk4_1(X1)))
| big_f(esk1_1(esk2_1(X1)))
| ~ big_h(esk1_1(esk3_1(X1))) ),
inference(scs_inference,[],[i_0_121,i_0_10]) ).
cnf(i_0_123,plain,
( big_h(X1)
| ~ big_g(X1)
| big_f(esk1_1(esk1_1(X1))) ),
inference(scs_inference,[],[i_0_13,i_0_28]) ).
cnf(i_0_124,plain,
( big_f(esk1_1(esk1_1(esk1_1(X1))))
| ~ big_f(X1)
| big_h(esk1_1(X1)) ),
inference(scs_inference,[],[i_0_123,i_0_59]) ).
cnf(i_0_125,plain,
( big_g(X1)
| ~ big_g(esk1_1(X1))
| big_f(esk1_1(esk1_1(esk1_1(X1)))) ),
inference(scs_inference,[],[i_0_13,i_0_29]) ).
cnf(i_0_126,plain,
( ~ big_h(esk4_1(X1))
| ~ big_h(esk1_1(esk3_1(X1)))
| big_f(esk1_1(esk2_1(X1))) ),
inference(scs_inference,[],[i_0_13,i_0_36]) ).
cnf(i_0_127,plain,
( big_f(esk1_1(esk2_1(X1)))
| ~ big_h(esk4_1(X1))
| ~ big_h(esk1_1(esk1_1(esk3_1(X1)))) ),
inference(scs_inference,[],[i_0_126,i_0_9]) ).
cnf(i_0_128,plain,
( ~ big_g(esk3_1(X1))
| big_f(esk4_1(X1))
| big_f(esk1_1(esk2_1(X1))) ),
inference(scs_inference,[],[i_0_13,i_0_57]) ).
cnf(i_0_129,plain,
( ~ big_h(esk1_1(esk3_1(X1)))
| big_f(esk4_1(X1))
| big_f(esk1_1(esk2_1(X1))) ),
inference(scs_inference,[],[i_0_13,i_0_58]) ).
cnf(i_0_130,plain,
( big_f(esk1_1(esk4_1(X1)))
| ~ big_h(esk1_1(esk3_1(X1)))
| big_f(esk1_1(esk2_1(X1))) ),
inference(scs_inference,[],[i_0_13,i_0_80]) ).
cnf(i_0_131,plain,
( big_f(esk1_1(esk2_1(X1)))
| big_f(esk1_1(esk4_1(X1)))
| ~ big_h(esk1_1(esk1_1(esk3_1(X1)))) ),
inference(scs_inference,[],[i_0_130,i_0_9]) ).
cnf(i_0_132,plain,
( ~ big_g(X1)
| big_h(X1) ),
inference(scs_inference,[],[i_0_48,i_0_9]) ).
cnf(i_0_133,plain,
( ~ big_g(esk1_1(X1))
| big_g(X1) ),
inference(scs_inference,[],[i_0_132,i_0_10]) ).
cnf(i_0_134,plain,
( ~ big_g(esk1_1(esk1_1(X1)))
| big_f(X1) ),
inference(scs_inference,[],[i_0_133,i_0_11]) ).
cnf(i_0_135,plain,
( ~ big_g(esk1_1(esk1_1(esk2_1(X1))))
| ~ big_g(esk3_1(X1))
| ~ big_h(esk4_1(X1)) ),
inference(scs_inference,[],[i_0_134,i_0_3]) ).
cnf(i_0_136,plain,
( big_h(X1)
| ~ big_h(esk1_1(esk1_1(X1))) ),
inference(scs_inference,[],[i_0_132,i_0_14]) ).
cnf(i_0_137,plain,
( big_h(X1)
| ~ big_h(esk1_1(esk1_1(esk1_1(X1)))) ),
inference(scs_inference,[],[i_0_136,i_0_9]) ).
cnf(i_0_138,plain,
( ~ big_g(esk1_1(esk1_1(X1)))
| big_g(X1) ),
inference(scs_inference,[],[i_0_132,i_0_14]) ).
cnf(i_0_139,plain,
( ~ big_g(esk1_1(esk1_1(esk1_1(X1))))
| big_f(X1) ),
inference(scs_inference,[],[i_0_138,i_0_11]) ).
cnf(i_0_140,plain,
( big_h(X1)
| big_f(esk1_1(esk1_1(X1))) ),
inference(scs_inference,[],[i_0_132,i_0_53]) ).
cnf(i_0_141,plain,
( big_h(X1)
| ~ big_f(esk1_1(esk1_1(esk1_1(X1))))
| big_g(esk1_1(esk1_1(esk1_1(X1)))) ),
inference(scs_inference,[],[i_0_140,i_0_6]) ).
cnf(i_0_142,plain,
( ~ big_g(esk1_1(esk1_1(X1)))
| big_h(X1) ),
inference(scs_inference,[],[i_0_132,i_0_136]) ).
cnf(i_0_143,plain,
( ~ big_g(esk1_1(esk1_1(esk1_1(X1))))
| big_h(X1) ),
inference(scs_inference,[],[i_0_142,i_0_9]) ).
cnf(i_0_144,plain,
( big_h(esk1_1(X1))
| big_h(X1) ),
inference(scs_inference,[],[i_0_132,i_0_64]) ).
cnf(i_0_145,plain,
( big_h(esk1_1(esk1_1(X1)))
| big_h(X1) ),
inference(scs_inference,[],[i_0_144,i_0_9]) ).
cnf(i_0_146,plain,
( big_h(esk1_1(esk1_1(esk1_1(X1))))
| big_g(X1) ),
inference(scs_inference,[],[i_0_145,i_0_10]) ).
cnf(i_0_147,plain,
( ~ big_g(esk4_1(X1))
| ~ big_g(esk3_1(X1))
| ~ big_f(esk2_1(X1)) ),
inference(scs_inference,[],[i_0_132,i_0_3]) ).
cnf(i_0_148,plain,
( ~ big_f(esk2_1(X1))
| ~ big_g(esk4_1(X1))
| ~ big_h(esk1_1(esk3_1(X1))) ),
inference(scs_inference,[],[i_0_147,i_0_10]) ).
cnf(i_0_149,plain,
( ~ big_h(esk1_1(esk3_1(X1)))
| ~ big_h(esk1_1(esk1_1(esk4_1(X1))))
| ~ big_f(esk2_1(X1)) ),
inference(scs_inference,[],[i_0_148,i_0_14]) ).
cnf(i_0_150,plain,
( big_h(X1)
| big_g(esk1_1(esk1_1(X1))) ),
inference(scs_inference,[],[i_0_132,i_0_65]) ).
cnf(i_0_151,plain,
( big_h(X1)
| big_h(esk1_1(esk1_1(esk1_1(X1)))) ),
inference(scs_inference,[],[i_0_150,i_0_48]) ).
cnf(i_0_152,plain,
( ~ big_g(esk3_1(X1))
| ~ big_g(esk4_1(X1))
| ~ big_g(esk1_1(esk2_1(X1))) ),
inference(scs_inference,[],[i_0_132,i_0_15]) ).
cnf(i_0_153,plain,
( ~ big_g(esk1_1(esk2_1(X1)))
| ~ big_g(esk3_1(X1))
| ~ big_h(esk1_1(esk4_1(X1))) ),
inference(scs_inference,[],[i_0_152,i_0_10]) ).
cnf(i_0_154,plain,
( ~ big_h(esk1_1(esk4_1(X1)))
| ~ big_h(esk1_1(esk1_1(esk3_1(X1))))
| ~ big_g(esk1_1(esk2_1(X1))) ),
inference(scs_inference,[],[i_0_153,i_0_14]) ).
cnf(i_0_155,plain,
( big_h(esk1_1(esk1_1(X1)))
| big_g(X1) ),
inference(scs_inference,[],[i_0_132,i_0_65]) ).
cnf(i_0_156,plain,
( big_h(esk1_1(esk1_1(esk3_1(X1))))
| ~ big_h(esk4_1(X1))
| ~ big_f(esk2_1(X1)) ),
inference(scs_inference,[],[i_0_155,i_0_3]) ).
cnf(i_0_157,plain,
( ~ big_g(esk1_1(esk2_1(X1)))
| big_f(esk1_1(esk3_1(X1)))
| ~ big_g(esk4_1(X1)) ),
inference(scs_inference,[],[i_0_132,i_0_24]) ).
cnf(i_0_158,plain,
( big_h(esk1_1(esk1_1(X1)))
| big_f(X1) ),
inference(scs_inference,[],[i_0_132,i_0_95]) ).
cnf(i_0_159,plain,
( big_h(esk1_1(esk1_1(esk2_1(X1))))
| ~ big_h(esk4_1(X1))
| ~ big_g(esk3_1(X1)) ),
inference(scs_inference,[],[i_0_158,i_0_3]) ).
cnf(i_0_160,plain,
( big_f(esk1_1(esk3_1(X1)))
| ~ big_g(esk1_1(esk4_1(X1)))
| ~ big_g(esk1_1(esk2_1(X1))) ),
inference(scs_inference,[],[i_0_132,i_0_27]) ).
cnf(i_0_161,plain,
( ~ big_g(esk1_1(esk2_1(X1)))
| big_f(esk1_1(esk3_1(X1)))
| ~ big_h(esk1_1(esk1_1(esk4_1(X1)))) ),
inference(scs_inference,[],[i_0_160,i_0_10]) ).
cnf(i_0_162,plain,
( big_h(X1)
| ~ big_g(esk1_1(X1)) ),
inference(scs_inference,[],[i_0_132,i_0_133]) ).
cnf(i_0_163,plain,
( big_h(X1)
| big_f(esk1_1(esk1_1(esk1_1(X1)))) ),
inference(scs_inference,[],[i_0_162,i_0_53]) ).
cnf(i_0_164,plain,
( ~ big_f(esk2_1(X1))
| ~ big_h(esk4_1(X1))
| ~ big_g(esk1_1(esk3_1(X1))) ),
inference(scs_inference,[],[i_0_132,i_0_36]) ).
cnf(i_0_165,plain,
( ~ big_g(esk1_1(esk3_1(X1)))
| ~ big_f(esk2_1(X1))
| ~ big_h(esk1_1(esk4_1(X1))) ),
inference(scs_inference,[],[i_0_164,i_0_9]) ).
cnf(i_0_166,plain,
( ~ big_h(esk1_1(esk4_1(X1)))
| ~ big_g(esk1_1(esk3_1(X1)))
| ~ big_g(esk1_1(esk2_1(X1))) ),
inference(scs_inference,[],[i_0_165,i_0_11]) ).
cnf(i_0_167,plain,
( ~ big_g(esk1_1(esk2_1(X1)))
| ~ big_h(esk1_1(esk4_1(X1)))
| big_f(esk1_1(esk1_1(esk3_1(X1)))) ),
inference(scs_inference,[],[i_0_166,i_0_12]) ).
cnf(i_0_168,plain,
( big_h(esk1_1(X1))
| ~ big_f(X1)
| ~ big_f(esk1_1(X1)) ),
inference(scs_inference,[],[i_0_132,i_0_6]) ).
cnf(i_0_169,plain,
( ~ big_f(X1)
| big_h(esk1_1(X1)) ),
inference(scs_inference,[],[i_0_168,i_0_51]) ).
cnf(i_0_170,plain,
( ~ big_f(X1)
| big_h(X1) ),
inference(scs_inference,[],[i_0_169,i_0_9]) ).
cnf(i_0_171,plain,
( ~ big_f(esk1_1(X1))
| big_g(X1) ),
inference(scs_inference,[],[i_0_170,i_0_10]) ).
cnf(i_0_172,plain,
( ~ big_f(esk1_1(esk1_1(X1)))
| big_f(X1) ),
inference(scs_inference,[],[i_0_171,i_0_11]) ).
cnf(i_0_173,plain,
( big_h(X1)
| ~ big_f(esk1_1(esk1_1(X1))) ),
inference(scs_inference,[],[i_0_172,i_0_170]) ).
cnf(i_0_174,plain,
( big_g(X1)
| big_h(X1) ),
inference(scs_inference,[],[i_0_173,i_0_53]) ).
cnf(i_0_175,plain,
( big_g(esk1_1(X1))
| big_g(X1) ),
inference(scs_inference,[],[i_0_174,i_0_10]) ).
cnf(i_0_176,plain,
( big_g(X1)
| big_g(esk1_1(esk1_1(esk1_1(X1)))) ),
inference(scs_inference,[],[i_0_175,i_0_138]) ).
cnf(i_0_177,plain,
( ~ big_h(esk1_1(esk3_1(X1)))
| ~ big_g(esk1_1(esk4_1(X1)))
| ~ big_f(esk2_1(X1)) ),
inference(scs_inference,[],[i_0_132,i_0_37]) ).
cnf(i_0_178,plain,
( ~ big_f(esk2_1(X1))
| ~ big_h(esk1_1(esk3_1(X1)))
| big_f(esk1_1(esk1_1(esk4_1(X1)))) ),
inference(scs_inference,[],[i_0_177,i_0_12]) ).
cnf(i_0_179,plain,
( big_h(X1)
| ~ big_f(esk1_1(X1)) ),
inference(scs_inference,[],[i_0_132,i_0_171]) ).
cnf(i_0_180,plain,
( big_h(esk1_1(X1))
| big_f(X1) ),
inference(scs_inference,[],[i_0_179,i_0_16]) ).
cnf(i_0_181,plain,
big_h(esk1_1(X1)),
inference(scs_inference,[],[i_0_180,i_0_169]) ).
cnf(i_0_182,plain,
big_h(X1),
inference(scs_inference,[],[i_0_181,i_0_9]) ).
cnf(i_0_183,plain,
( ~ big_h(esk1_1(X1))
| big_h(X1) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_184,plain,
big_g(X1),
inference(scs_inference,[],[i_0_181,i_0_9,i_0_10]) ).
cnf(i_0_185,plain,
( ~ big_h(esk1_1(X1))
| big_g(X1) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_186,plain,
big_f(X1),
inference(scs_inference,[],[i_0_181,i_0_9,i_0_10,i_0_11]) ).
cnf(i_0_187,plain,
( ~ big_h(esk4_1(X1))
| ~ big_g(esk3_1(X1)) ),
inference(scs_inference,[],[i_0_181,i_0_9,i_0_10,i_0_11,i_0_3]) ).
cnf(i_0_188,plain,
( ~ big_g(esk4_1(X1))
| ~ big_g(esk3_1(X1)) ),
inference(scs_inference,[],[i_0_181,i_0_9,i_0_10,i_0_11,i_0_3,i_0_132]) ).
cnf(i_0_189,plain,
( big_h(X1)
| ~ big_g(X1) ),
inference(rename_variables,[],[i_0_132]) ).
cnf(i_0_190,plain,
( ~ big_g(esk1_1(esk4_1(X1)))
| ~ big_g(esk3_1(X1)) ),
inference(scs_inference,[],[i_0_181,i_0_9,i_0_10,i_0_11,i_0_3,i_0_132,i_0_133]) ).
cnf(i_0_191,plain,
( big_g(X1)
| ~ big_g(esk1_1(X1)) ),
inference(rename_variables,[],[i_0_133]) ).
cnf(i_0_192,plain,
( ~ big_f(esk1_1(esk4_1(X1)))
| ~ big_g(esk3_1(X1)) ),
inference(scs_inference,[],[i_0_181,i_0_9,i_0_10,i_0_11,i_0_3,i_0_132,i_0_133,i_0_171]) ).
cnf(i_0_193,plain,
( big_g(X1)
| ~ big_f(esk1_1(X1)) ),
inference(rename_variables,[],[i_0_171]) ).
cnf(i_0_195,plain,
$false,
inference(scs_inference,[],[i_0_182,i_0_184,i_0_187]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN328+1 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.33 % Computer : n017.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 08:26:57 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 0.79/1.62 % Version : CSE_E---1.7
% 0.79/1.62 % Problem : theBenchmark.p
% 0.79/1.62 % SZS status Theorem for theBenchmark.p
% 0.79/1.62 % SZS output start CNFRefutation
% See solution above
% 1.00/1.82 % Total time : 1.269s
%------------------------------------------------------------------------------