TSTP Solution File: SYN347+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYN347+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n016.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 08:25:25 EDT 2022
% Result : Theorem 0.21s 0.42s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 5
% Syntax : Number of formulae : 60 ( 37 unt; 4 typ; 0 def)
% Number of atoms : 458 ( 82 equ; 0 cnn)
% Maximal formula atoms : 5 ( 8 avg)
% Number of connectives : 1450 ( 244 ~; 210 |; 10 &; 968 @)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 121 ( 0 ^ 109 !; 12 ?; 121 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_big_f,type,
big_f: $i > $i > $o ).
thf(tp_sK1_Z1,type,
sK1_Z1: $i ).
thf(tp_sK2_SY5,type,
sK2_SY5: $i ).
thf(tp_sK3_SY11,type,
sK3_SY11: $i > $i > $i ).
thf(1,conjecture,
! [Z1: $i,Z2: $i] :
? [X1: $i,X2: $i] :
! [Y: $i] :
( ( ( ( big_f @ X1 @ Y )
<=> ( big_f @ X2 @ Y ) )
<=> ( big_f @ Z1 @ Z2 ) )
| ( ( big_f @ Z1 @ Y )
<=> ( big_f @ Z2 @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_17_3) ).
thf(2,negated_conjecture,
( ( ! [Z1: $i,Z2: $i] :
? [X1: $i,X2: $i] :
! [Y: $i] :
( ( ( ( big_f @ X1 @ Y )
<=> ( big_f @ X2 @ Y ) )
<=> ( big_f @ Z1 @ Z2 ) )
| ( ( big_f @ Z1 @ Y )
<=> ( big_f @ Z2 @ Y ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Z1: $i,Z2: $i] :
? [X1: $i,X2: $i] :
! [Y: $i] :
( ( ( ( big_f @ X1 @ Y )
<=> ( big_f @ X2 @ Y ) )
<=> ( big_f @ Z1 @ Z2 ) )
| ( ( big_f @ Z1 @ Y )
<=> ( big_f @ Z2 @ Y ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY5: $i] :
? [SY6: $i,SY7: $i] :
! [SY8: $i] :
( ( ( ( big_f @ SY6 @ SY8 )
<=> ( big_f @ SY7 @ SY8 ) )
<=> ( big_f @ sK1_Z1 @ SY5 ) )
| ( ( big_f @ sK1_Z1 @ SY8 )
<=> ( big_f @ SY5 @ SY8 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ? [SY9: $i,SY10: $i] :
! [SY11: $i] :
( ( ( ( big_f @ SY9 @ SY11 )
<=> ( big_f @ SY10 @ SY11 ) )
<=> ( big_f @ sK1_Z1 @ sK2_SY5 ) )
| ( ( big_f @ sK1_Z1 @ SY11 )
<=> ( big_f @ sK2_SY5 @ SY11 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ~ ? [SY9: $i,SY10: $i] :
! [SY11: $i] :
( ( ( ( big_f @ SY9 @ SY11 )
<=> ( big_f @ SY10 @ SY11 ) )
<=> ( big_f @ sK1_Z1 @ sK2_SY5 ) )
| ( ( big_f @ sK1_Z1 @ SY11 )
<=> ( big_f @ sK2_SY5 @ SY11 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SY9: $i,SY10: $i] :
( ( ~ ( big_f @ SY9 @ ( sK3_SY11 @ SY10 @ SY9 ) )
| ~ ( big_f @ SY10 @ ( sK3_SY11 @ SY10 @ SY9 ) )
| ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) )
& ( ( big_f @ SY9 @ ( sK3_SY11 @ SY10 @ SY9 ) )
| ( big_f @ SY10 @ ( sK3_SY11 @ SY10 @ SY9 ) )
| ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) )
& ( ~ ( big_f @ SY9 @ ( sK3_SY11 @ SY10 @ SY9 ) )
| ( big_f @ SY10 @ ( sK3_SY11 @ SY10 @ SY9 ) )
| ( big_f @ sK1_Z1 @ sK2_SY5 ) )
& ( ~ ( big_f @ SY10 @ ( sK3_SY11 @ SY10 @ SY9 ) )
| ( big_f @ SY9 @ ( sK3_SY11 @ SY10 @ SY9 ) )
| ( big_f @ sK1_Z1 @ sK2_SY5 ) )
& ( ~ ( big_f @ sK1_Z1 @ ( sK3_SY11 @ SY10 @ SY9 ) )
| ~ ( big_f @ sK2_SY5 @ ( sK3_SY11 @ SY10 @ SY9 ) ) )
& ( ( big_f @ sK1_Z1 @ ( sK3_SY11 @ SY10 @ SY9 ) )
| ( big_f @ sK2_SY5 @ ( sK3_SY11 @ SY10 @ SY9 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [SY9: $i,SY10: $i] :
( ( ~ ( big_f @ SY9 @ ( sK3_SY11 @ SY10 @ SY9 ) )
| ~ ( big_f @ SY10 @ ( sK3_SY11 @ SY10 @ SY9 ) )
| ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) )
& ( ( big_f @ SY9 @ ( sK3_SY11 @ SY10 @ SY9 ) )
| ( big_f @ SY10 @ ( sK3_SY11 @ SY10 @ SY9 ) )
| ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) )
& ( ~ ( big_f @ SY9 @ ( sK3_SY11 @ SY10 @ SY9 ) )
| ( big_f @ SY10 @ ( sK3_SY11 @ SY10 @ SY9 ) )
| ( big_f @ sK1_Z1 @ sK2_SY5 ) )
& ( ~ ( big_f @ SY10 @ ( sK3_SY11 @ SY10 @ SY9 ) )
| ( big_f @ SY9 @ ( sK3_SY11 @ SY10 @ SY9 ) )
| ( big_f @ sK1_Z1 @ sK2_SY5 ) )
& ( ~ ( big_f @ sK1_Z1 @ ( sK3_SY11 @ SY10 @ SY9 ) )
| ~ ( big_f @ sK2_SY5 @ ( sK3_SY11 @ SY10 @ SY9 ) ) )
& ( ( big_f @ sK1_Z1 @ ( sK3_SY11 @ SY10 @ SY9 ) )
| ( big_f @ sK2_SY5 @ ( sK3_SY11 @ SY10 @ SY9 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_f @ SX0 @ ( sK3_SY11 @ SX1 @ SX0 ) )
| ~ ( big_f @ SX1 @ ( sK3_SY11 @ SX1 @ SX0 ) )
| ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) )
| ~ ( ( big_f @ SX0 @ ( sK3_SY11 @ SX1 @ SX0 ) )
| ( big_f @ SX1 @ ( sK3_SY11 @ SX1 @ SX0 ) )
| ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) ) )
| ~ ~ ( ~ ( ~ ( big_f @ SX0 @ ( sK3_SY11 @ SX1 @ SX0 ) )
| ( big_f @ SX1 @ ( sK3_SY11 @ SX1 @ SX0 ) )
| ( big_f @ sK1_Z1 @ sK2_SY5 ) )
| ~ ( ~ ( big_f @ SX1 @ ( sK3_SY11 @ SX1 @ SX0 ) )
| ( big_f @ SX0 @ ( sK3_SY11 @ SX1 @ SX0 ) )
| ( big_f @ sK1_Z1 @ sK2_SY5 ) ) ) )
| ~ ~ ( ~ ( ~ ( big_f @ sK1_Z1 @ ( sK3_SY11 @ SX1 @ SX0 ) )
| ~ ( big_f @ sK2_SY5 @ ( sK3_SY11 @ SX1 @ SX0 ) ) )
| ~ ( ( big_f @ sK1_Z1 @ ( sK3_SY11 @ SX1 @ SX0 ) )
| ( big_f @ sK2_SY5 @ ( sK3_SY11 @ SX1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(10,plain,
! [SV1: $i] :
( ( ! [SY12: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_f @ SV1 @ ( sK3_SY11 @ SY12 @ SV1 ) )
| ~ ( big_f @ SY12 @ ( sK3_SY11 @ SY12 @ SV1 ) )
| ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) )
| ~ ( ( big_f @ SV1 @ ( sK3_SY11 @ SY12 @ SV1 ) )
| ( big_f @ SY12 @ ( sK3_SY11 @ SY12 @ SV1 ) )
| ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) ) )
| ~ ~ ( ~ ( ~ ( big_f @ SV1 @ ( sK3_SY11 @ SY12 @ SV1 ) )
| ( big_f @ SY12 @ ( sK3_SY11 @ SY12 @ SV1 ) )
| ( big_f @ sK1_Z1 @ sK2_SY5 ) )
| ~ ( ~ ( big_f @ SY12 @ ( sK3_SY11 @ SY12 @ SV1 ) )
| ( big_f @ SV1 @ ( sK3_SY11 @ SY12 @ SV1 ) )
| ( big_f @ sK1_Z1 @ sK2_SY5 ) ) ) )
| ~ ~ ( ~ ( ~ ( big_f @ sK1_Z1 @ ( sK3_SY11 @ SY12 @ SV1 ) )
| ~ ( big_f @ sK2_SY5 @ ( sK3_SY11 @ SY12 @ SV1 ) ) )
| ~ ( ( big_f @ sK1_Z1 @ ( sK3_SY11 @ SY12 @ SV1 ) )
| ( big_f @ sK2_SY5 @ ( sK3_SY11 @ SY12 @ SV1 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9]) ).
thf(11,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) )
| ~ ( ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) ) )
| ~ ~ ( ~ ( ~ ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ sK1_Z1 @ sK2_SY5 ) )
| ~ ( ~ ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ sK1_Z1 @ sK2_SY5 ) ) ) )
| ~ ~ ( ~ ( ~ ( big_f @ sK1_Z1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ sK2_SY5 @ ( sK3_SY11 @ SV2 @ SV1 ) ) )
| ~ ( ( big_f @ sK1_Z1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ sK2_SY5 @ ( sK3_SY11 @ SV2 @ SV1 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[10]) ).
thf(12,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) )
| ~ ( ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) ) )
| ~ ~ ( ~ ( ~ ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ sK1_Z1 @ sK2_SY5 ) )
| ~ ( ~ ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ sK1_Z1 @ sK2_SY5 ) ) ) )
| ~ ~ ( ~ ( ~ ( big_f @ sK1_Z1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ sK2_SY5 @ ( sK3_SY11 @ SV2 @ SV1 ) ) )
| ~ ( ( big_f @ sK1_Z1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ sK2_SY5 @ ( sK3_SY11 @ SV2 @ SV1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(13,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) )
| ~ ( ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) ) )
| ~ ~ ( ~ ( ~ ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ sK1_Z1 @ sK2_SY5 ) )
| ~ ( ~ ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ sK1_Z1 @ sK2_SY5 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(14,plain,
! [SV1: $i,SV2: $i] :
( ( ~ ~ ( ~ ( ~ ( big_f @ sK1_Z1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ sK2_SY5 @ ( sK3_SY11 @ SV2 @ SV1 ) ) )
| ~ ( ( big_f @ sK1_Z1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ sK2_SY5 @ ( sK3_SY11 @ SV2 @ SV1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(15,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ( ~ ~ ( ~ ( ~ ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) )
| ~ ( ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) ) )
| ~ ~ ( ~ ( ~ ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ sK1_Z1 @ sK2_SY5 ) )
| ~ ( ~ ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ sK1_Z1 @ sK2_SY5 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(16,plain,
! [SV1: $i,SV2: $i] :
( ( ~ ( ~ ( ~ ( big_f @ sK1_Z1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ sK2_SY5 @ ( sK3_SY11 @ SV2 @ SV1 ) ) )
| ~ ( ( big_f @ sK1_Z1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ sK2_SY5 @ ( sK3_SY11 @ SV2 @ SV1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ~ ( ~ ( ~ ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) )
| ~ ( ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) ) )
| ~ ~ ( ~ ( ~ ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ sK1_Z1 @ sK2_SY5 ) )
| ~ ( ~ ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ sK1_Z1 @ sK2_SY5 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(18,plain,
! [SV1: $i,SV2: $i] :
( ( ~ ( ~ ( big_f @ sK1_Z1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ sK2_SY5 @ ( sK3_SY11 @ SV2 @ SV1 ) ) )
| ~ ( ( big_f @ sK1_Z1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ sK2_SY5 @ ( sK3_SY11 @ SV2 @ SV1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(19,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ~ ( ~ ( ~ ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) )
| ~ ( ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(20,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ~ ( ~ ( ~ ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ sK1_Z1 @ sK2_SY5 ) )
| ~ ( ~ ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ sK1_Z1 @ sK2_SY5 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
! [SV1: $i,SV2: $i] :
( ( ~ ( ~ ( big_f @ sK1_Z1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ sK2_SY5 @ ( sK3_SY11 @ SV2 @ SV1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(22,plain,
! [SV1: $i,SV2: $i] :
( ( ~ ( ( big_f @ sK1_Z1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ sK2_SY5 @ ( sK3_SY11 @ SV2 @ SV1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(23,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ( ~ ( ~ ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) )
| ~ ( ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(24,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ( ~ ( ~ ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ sK1_Z1 @ sK2_SY5 ) )
| ~ ( ~ ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ sK1_Z1 @ sK2_SY5 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(25,plain,
! [SV1: $i,SV2: $i] :
( ( ~ ( big_f @ sK1_Z1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ sK2_SY5 @ ( sK3_SY11 @ SV2 @ SV1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(26,plain,
! [SV1: $i,SV2: $i] :
( ( ( big_f @ sK1_Z1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ sK2_SY5 @ ( sK3_SY11 @ SV2 @ SV1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(27,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ( ~ ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) )
| ~ ( ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(28,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ( ~ ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ sK1_Z1 @ sK2_SY5 ) )
| ~ ( ~ ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ sK1_Z1 @ sK2_SY5 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(29,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ ( big_f @ sK1_Z1 @ ( sK3_SY11 @ SV2 @ SV1 ) ) )
= $true )
| ( ( ~ ( big_f @ sK2_SY5 @ ( sK3_SY11 @ SV2 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(30,plain,
! [SV1: $i,SV2: $i] :
( ( ( big_f @ sK1_Z1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
= $true )
| ( ( big_f @ sK2_SY5 @ ( sK3_SY11 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(31,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ( ~ ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(32,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ( ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(33,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ( ~ ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ sK1_Z1 @ sK2_SY5 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(34,plain,
! [SV1: $i,SV2: $i] :
( ( ~ ( ~ ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ sK1_Z1 @ sK2_SY5 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(35,plain,
! [SV1: $i,SV2: $i] :
( ( ( big_f @ sK1_Z1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
= $false )
| ( ( ~ ( big_f @ sK2_SY5 @ ( sK3_SY11 @ SV2 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(36,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(37,plain,
! [SV2: $i,SV1: $i] :
( ( ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(38,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ sK1_Z1 @ sK2_SY5 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(39,plain,
! [SV1: $i,SV2: $i] :
( ( ~ ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ sK1_Z1 @ sK2_SY5 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(40,plain,
! [SV1: $i,SV2: $i] :
( ( ( big_f @ sK2_SY5 @ ( sK3_SY11 @ SV2 @ SV1 ) )
= $false )
| ( ( big_f @ sK1_Z1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(41,plain,
! [SV2: $i,SV1: $i] :
( ( ( ~ ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ~ ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) ) )
= $true )
| ( ( ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(42,plain,
! [SV2: $i,SV1: $i] :
( ( ( ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) ) )
= $true )
| ( ( ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(43,plain,
! [SV2: $i,SV1: $i] :
( ( ( ~ ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) ) )
= $true )
| ( ( big_f @ sK1_Z1 @ sK2_SY5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(44,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
| ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) ) )
= $true )
| ( ( big_f @ sK1_Z1 @ sK2_SY5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(45,plain,
! [SV2: $i,SV1: $i] :
( ( ( ~ ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) ) )
= $true )
| ( ( ~ ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) ) )
= $true )
| ( ( ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(46,plain,
! [SV2: $i,SV1: $i] :
( ( ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
= $true )
| ( ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
= $true )
| ( ( ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(47,plain,
! [SV2: $i,SV1: $i] :
( ( ( ~ ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) ) )
= $true )
| ( ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
= $true )
| ( ( big_f @ sK1_Z1 @ sK2_SY5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(48,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) ) )
= $true )
| ( ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
= $true )
| ( ( big_f @ sK1_Z1 @ sK2_SY5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(49,plain,
! [SV2: $i,SV1: $i] :
( ( ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
= $false )
| ( ( ~ ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) ) )
= $true )
| ( ( ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(50,plain,
! [SV1: $i,SV2: $i] :
( ( ( big_f @ sK1_Z1 @ sK2_SY5 )
= $false )
| ( ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
= $true )
| ( ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(51,plain,
! [SV2: $i,SV1: $i] :
( ( ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
= $false )
| ( ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
= $true )
| ( ( big_f @ sK1_Z1 @ sK2_SY5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(52,plain,
! [SV1: $i,SV2: $i] :
( ( ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
= $false )
| ( ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
= $true )
| ( ( big_f @ sK1_Z1 @ sK2_SY5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(53,plain,
! [SV1: $i,SV2: $i] :
( ( ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
= $false )
| ( ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
= $false )
| ( ( ~ ( big_f @ sK1_Z1 @ sK2_SY5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(54,plain,
! [SV2: $i,SV1: $i] :
( ( ( big_f @ sK1_Z1 @ sK2_SY5 )
= $false )
| ( ( big_f @ SV1 @ ( sK3_SY11 @ SV2 @ SV1 ) )
= $false )
| ( ( big_f @ SV2 @ ( sK3_SY11 @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(55,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[30,54,52,51,50,40]) ).
thf(56,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SYN347+1 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jul 11 21:10:43 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36
% 0.14/0.36 No.of.Axioms: 0
% 0.14/0.36
% 0.14/0.36 Length.of.Defs: 0
% 0.14/0.36
% 0.14/0.36 Contains.Choice.Funs: false
% 0.14/0.37 (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)..
% 0.21/0.42
% 0.21/0.42 ********************************
% 0.21/0.42 * All subproblems solved! *
% 0.21/0.42 ********************************
% 0.21/0.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:55,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.21/0.42
% 0.21/0.42 %**** Beginning of derivation protocol ****
% 0.21/0.42 % SZS output start CNFRefutation
% See solution above
% 0.21/0.42
% 0.21/0.42 %**** End of derivation protocol ****
% 0.21/0.42 %**** no. of clauses in derivation: 56 ****
% 0.21/0.42 %**** clause counter: 55 ****
% 0.21/0.42
% 0.21/0.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:55,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------