TSTP Solution File: LCL682+1.001 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LCL682+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n009.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 : Sun Jul 17 12:25:43 EDT 2022
% Result : Theorem 0.19s 0.44s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 19
% Syntax : Number of formulae : 143 ( 101 unt; 16 typ; 0 def)
% Number of atoms : 962 ( 158 equ; 0 cnn)
% Maximal formula atoms : 21 ( 7 avg)
% Number of connectives : 2470 ( 876 ~; 485 |; 32 &;1075 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 11 con; 0-2 aty)
% Number of variables : 315 ( 0 ^ 311 !; 4 ?; 315 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_p11,type,
p11: $i > $o ).
thf(tp_p12,type,
p12: $i > $o ).
thf(tp_p13,type,
p13: $i > $o ).
thf(tp_p14,type,
p14: $i > $o ).
thf(tp_p15,type,
p15: $i > $o ).
thf(tp_p16,type,
p16: $i > $o ).
thf(tp_r1,type,
r1: $i > $i > $o ).
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(tp_sK2_SY32,type,
sK2_SY32: $i ).
thf(tp_sK3_SY34,type,
sK3_SY34: $i ).
thf(tp_sK4_SY22,type,
sK4_SY22: $i ).
thf(tp_sK5_SY35,type,
sK5_SY35: $i ).
thf(tp_sK6_SY20,type,
sK6_SY20: $i ).
thf(tp_sK7_SY36,type,
sK7_SY36: $i ).
thf(tp_sK8_SY18,type,
sK8_SY18: $i ).
thf(tp_sK9_SY37,type,
sK9_SY37: $i ).
thf(1,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( r1 @ X @ Y )
& ( r1 @ Y @ Z ) )
=> ( r1 @ X @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
thf(2,axiom,
! [X: $i] : ( r1 @ X @ X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
thf(3,conjecture,
~ ? [X: $i] :
~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p16 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p12 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p14 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p12 @ X ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p15 @ X ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p13 @ X ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p12 @ X ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p11 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
thf(4,negated_conjecture,
( ( ~ ? [X: $i] :
~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p16 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p12 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p14 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p12 @ X ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p15 @ X ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p13 @ X ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p12 @ X ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p11 @ X ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[3]) ).
thf(5,plain,
( ( ~ ? [X: $i] :
~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p16 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p12 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p14 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p12 @ X ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p15 @ X ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p13 @ X ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p12 @ X ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p11 @ X ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[4]) ).
thf(6,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( r1 @ X @ Y )
& ( r1 @ Y @ Z ) )
=> ( r1 @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(7,plain,
( ( ! [X: $i] : ( r1 @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(8,plain,
( ( ? [X: $i] :
~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p16 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p12 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p14 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p12 @ X ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p15 @ X ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p13 @ X ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p12 @ X ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p11 @ X ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(9,plain,
( ( ( r1 @ sK1_X @ sK8_SY18 )
& ( r1 @ sK8_SY18 @ sK9_SY37 )
& ~ ( p11 @ sK9_SY37 )
& ( r1 @ sK1_X @ sK6_SY20 )
& ( r1 @ sK6_SY20 @ sK7_SY36 )
& ~ ( p12 @ sK7_SY36 )
& ( r1 @ sK1_X @ sK4_SY22 )
& ( r1 @ sK4_SY22 @ sK5_SY35 )
& ~ ( p13 @ sK5_SY35 )
& ! [SY24: $i] :
( ~ ( r1 @ sK1_X @ SY24 )
| ! [X: $i] :
( ~ ( r1 @ SY24 @ X )
| ( p16 @ X ) ) )
& ! [SY26: $i] :
( ~ ( r1 @ sK1_X @ SY26 )
| ! [X: $i] :
( ~ ( r1 @ SY26 @ X )
| ( p12 @ X ) ) )
& ! [SY28: $i] :
( ~ ( r1 @ sK1_X @ SY28 )
| ! [X: $i] :
( ~ ( r1 @ SY28 @ X )
| ( p14 @ X ) ) )
& ! [SY30: $i] :
( ~ ( r1 @ sK1_X @ SY30 )
| ! [X: $i] :
( ~ ( r1 @ SY30 @ X )
| ( p12 @ X ) ) )
& ( r1 @ sK1_X @ sK2_SY32 )
& ( r1 @ sK2_SY32 @ sK3_SY34 )
& ~ ( p15 @ sK3_SY34 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(10,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( r1 @ Y @ Z )
| ( r1 @ X @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(11,plain,
( ( ! [X: $i] : ( r1 @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(12,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( r1 @ Y @ Z )
| ( r1 @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(13,plain,
( ( ( r1 @ sK1_X @ sK8_SY18 )
& ( r1 @ sK8_SY18 @ sK9_SY37 )
& ~ ( p11 @ sK9_SY37 )
& ( r1 @ sK1_X @ sK6_SY20 )
& ( r1 @ sK6_SY20 @ sK7_SY36 )
& ~ ( p12 @ sK7_SY36 )
& ( r1 @ sK1_X @ sK4_SY22 )
& ( r1 @ sK4_SY22 @ sK5_SY35 )
& ~ ( p13 @ sK5_SY35 )
& ! [SY24: $i] :
( ~ ( r1 @ sK1_X @ SY24 )
| ! [X: $i] :
( ~ ( r1 @ SY24 @ X )
| ( p16 @ X ) ) )
& ! [SY26: $i] :
( ~ ( r1 @ sK1_X @ SY26 )
| ! [X: $i] :
( ~ ( r1 @ SY26 @ X )
| ( p12 @ X ) ) )
& ! [SY28: $i] :
( ~ ( r1 @ sK1_X @ SY28 )
| ! [X: $i] :
( ~ ( r1 @ SY28 @ X )
| ( p14 @ X ) ) )
& ! [SY30: $i] :
( ~ ( r1 @ sK1_X @ SY30 )
| ! [X: $i] :
( ~ ( r1 @ SY30 @ X )
| ( p12 @ X ) ) )
& ( r1 @ sK1_X @ sK2_SY32 )
& ( r1 @ sK2_SY32 @ sK3_SY34 )
& ~ ( p15 @ sK3_SY34 ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(14,plain,
( ( ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK8_SY18 )
| ~ ~ ( ~ ( r1 @ sK8_SY18 @ sK9_SY37 )
| ~ ~ ( p11 @ sK9_SY37 ) ) )
| ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK6_SY20 )
| ~ ~ ( ~ ( r1 @ sK6_SY20 @ sK7_SY36 )
| ~ ~ ( p12 @ sK7_SY36 ) ) )
| ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK4_SY22 )
| ~ ~ ( ~ ( r1 @ sK4_SY22 @ sK5_SY35 )
| ~ ~ ( p13 @ sK5_SY35 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p16 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p14 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK2_SY32 )
| ~ ~ ( ~ ( r1 @ sK2_SY32 @ sK3_SY34 )
| ~ ~ ( p15 @ sK3_SY34 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(15,plain,
! [SV1: $i] :
( ( r1 @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(16,plain,
! [SV2: $i] :
( ( ! [SY38: $i,SY39: $i] :
( ~ ( r1 @ SV2 @ SY38 )
| ~ ( r1 @ SY38 @ SY39 )
| ( r1 @ SV2 @ SY39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(17,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK8_SY18 )
| ~ ~ ( ~ ( r1 @ sK8_SY18 @ sK9_SY37 )
| ~ ~ ( p11 @ sK9_SY37 ) ) )
| ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK6_SY20 )
| ~ ~ ( ~ ( r1 @ sK6_SY20 @ sK7_SY36 )
| ~ ~ ( p12 @ sK7_SY36 ) ) )
| ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK4_SY22 )
| ~ ~ ( ~ ( r1 @ sK4_SY22 @ sK5_SY35 )
| ~ ~ ( p13 @ sK5_SY35 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p16 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p14 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK2_SY32 )
| ~ ~ ( ~ ( r1 @ sK2_SY32 @ sK3_SY34 )
| ~ ~ ( p15 @ sK3_SY34 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(18,plain,
! [SV3: $i,SV2: $i] :
( ( ! [SY40: $i] :
( ~ ( r1 @ SV2 @ SV3 )
| ~ ( r1 @ SV3 @ SY40 )
| ( r1 @ SV2 @ SY40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK8_SY18 )
| ~ ~ ( ~ ( r1 @ sK8_SY18 @ sK9_SY37 )
| ~ ~ ( p11 @ sK9_SY37 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK6_SY20 )
| ~ ~ ( ~ ( r1 @ sK6_SY20 @ sK7_SY36 )
| ~ ~ ( p12 @ sK7_SY36 ) ) )
| ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK4_SY22 )
| ~ ~ ( ~ ( r1 @ sK4_SY22 @ sK5_SY35 )
| ~ ~ ( p13 @ sK5_SY35 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p16 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p14 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK2_SY32 )
| ~ ~ ( ~ ( r1 @ sK2_SY32 @ sK3_SY34 )
| ~ ~ ( p15 @ sK3_SY34 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
! [SV4: $i,SV3: $i,SV2: $i] :
( ( ~ ( r1 @ SV2 @ SV3 )
| ~ ( r1 @ SV3 @ SV4 )
| ( r1 @ SV2 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(22,plain,
( ( ~ ( ~ ( r1 @ sK1_X @ sK8_SY18 )
| ~ ~ ( ~ ( r1 @ sK8_SY18 @ sK9_SY37 )
| ~ ~ ( p11 @ sK9_SY37 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(23,plain,
( ( ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK6_SY20 )
| ~ ~ ( ~ ( r1 @ sK6_SY20 @ sK7_SY36 )
| ~ ~ ( p12 @ sK7_SY36 ) ) )
| ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK4_SY22 )
| ~ ~ ( ~ ( r1 @ sK4_SY22 @ sK5_SY35 )
| ~ ~ ( p13 @ sK5_SY35 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p16 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p14 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK2_SY32 )
| ~ ~ ( ~ ( r1 @ sK2_SY32 @ sK3_SY34 )
| ~ ~ ( p15 @ sK3_SY34 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(24,plain,
! [SV4: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ SV3 )
| ~ ( r1 @ SV3 @ SV4 ) )
= $true )
| ( ( r1 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(25,plain,
( ( ~ ( r1 @ sK1_X @ sK8_SY18 )
| ~ ~ ( ~ ( r1 @ sK8_SY18 @ sK9_SY37 )
| ~ ~ ( p11 @ sK9_SY37 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(26,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK6_SY20 )
| ~ ~ ( ~ ( r1 @ sK6_SY20 @ sK7_SY36 )
| ~ ~ ( p12 @ sK7_SY36 ) ) )
| ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK4_SY22 )
| ~ ~ ( ~ ( r1 @ sK4_SY22 @ sK5_SY35 )
| ~ ~ ( p13 @ sK5_SY35 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p16 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p14 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK2_SY32 )
| ~ ~ ( ~ ( r1 @ sK2_SY32 @ sK3_SY34 )
| ~ ~ ( p15 @ sK3_SY34 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(27,plain,
! [SV4: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ SV3 ) )
= $true )
| ( ( ~ ( r1 @ SV3 @ SV4 ) )
= $true )
| ( ( r1 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[24]) ).
thf(28,plain,
( ( ~ ( r1 @ sK1_X @ sK8_SY18 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(29,plain,
( ( ~ ~ ( ~ ( r1 @ sK8_SY18 @ sK9_SY37 )
| ~ ~ ( p11 @ sK9_SY37 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(30,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK6_SY20 )
| ~ ~ ( ~ ( r1 @ sK6_SY20 @ sK7_SY36 )
| ~ ~ ( p12 @ sK7_SY36 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(31,plain,
( ( ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK4_SY22 )
| ~ ~ ( ~ ( r1 @ sK4_SY22 @ sK5_SY35 )
| ~ ~ ( p13 @ sK5_SY35 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p16 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p14 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK2_SY32 )
| ~ ~ ( ~ ( r1 @ sK2_SY32 @ sK3_SY34 )
| ~ ~ ( p15 @ sK3_SY34 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(32,plain,
! [SV4: $i,SV3: $i,SV2: $i] :
( ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( ~ ( r1 @ SV3 @ SV4 ) )
= $true )
| ( ( r1 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(33,plain,
( ( r1 @ sK1_X @ sK8_SY18 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(34,plain,
( ( ~ ( ~ ( r1 @ sK8_SY18 @ sK9_SY37 )
| ~ ~ ( p11 @ sK9_SY37 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(35,plain,
( ( ~ ( ~ ( r1 @ sK1_X @ sK6_SY20 )
| ~ ~ ( ~ ( r1 @ sK6_SY20 @ sK7_SY36 )
| ~ ~ ( p12 @ sK7_SY36 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(36,plain,
( ( ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK4_SY22 )
| ~ ~ ( ~ ( r1 @ sK4_SY22 @ sK5_SY35 )
| ~ ~ ( p13 @ sK5_SY35 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p16 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p14 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK2_SY32 )
| ~ ~ ( ~ ( r1 @ sK2_SY32 @ sK3_SY34 )
| ~ ~ ( p15 @ sK3_SY34 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(37,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ( r1 @ SV3 @ SV4 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(38,plain,
( ( ~ ( r1 @ sK8_SY18 @ sK9_SY37 )
| ~ ~ ( p11 @ sK9_SY37 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(39,plain,
( ( ~ ( r1 @ sK1_X @ sK6_SY20 )
| ~ ~ ( ~ ( r1 @ sK6_SY20 @ sK7_SY36 )
| ~ ~ ( p12 @ sK7_SY36 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(40,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK4_SY22 )
| ~ ~ ( ~ ( r1 @ sK4_SY22 @ sK5_SY35 )
| ~ ~ ( p13 @ sK5_SY35 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p16 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p14 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK2_SY32 )
| ~ ~ ( ~ ( r1 @ sK2_SY32 @ sK3_SY34 )
| ~ ~ ( p15 @ sK3_SY34 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(41,plain,
( ( ~ ( r1 @ sK8_SY18 @ sK9_SY37 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(42,plain,
( ( ~ ~ ( p11 @ sK9_SY37 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(43,plain,
( ( ~ ( r1 @ sK1_X @ sK6_SY20 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(44,plain,
( ( ~ ~ ( ~ ( r1 @ sK6_SY20 @ sK7_SY36 )
| ~ ~ ( p12 @ sK7_SY36 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(45,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK4_SY22 )
| ~ ~ ( ~ ( r1 @ sK4_SY22 @ sK5_SY35 )
| ~ ~ ( p13 @ sK5_SY35 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(46,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p16 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p14 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK2_SY32 )
| ~ ~ ( ~ ( r1 @ sK2_SY32 @ sK3_SY34 )
| ~ ~ ( p15 @ sK3_SY34 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(47,plain,
( ( r1 @ sK8_SY18 @ sK9_SY37 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(48,plain,
( ( ~ ( p11 @ sK9_SY37 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(49,plain,
( ( r1 @ sK1_X @ sK6_SY20 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(50,plain,
( ( ~ ( ~ ( r1 @ sK6_SY20 @ sK7_SY36 )
| ~ ~ ( p12 @ sK7_SY36 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(51,plain,
( ( ~ ( ~ ( r1 @ sK1_X @ sK4_SY22 )
| ~ ~ ( ~ ( r1 @ sK4_SY22 @ sK5_SY35 )
| ~ ~ ( p13 @ sK5_SY35 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(52,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p16 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p14 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK2_SY32 )
| ~ ~ ( ~ ( r1 @ sK2_SY32 @ sK3_SY34 )
| ~ ~ ( p15 @ sK3_SY34 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(53,plain,
( ( p11 @ sK9_SY37 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(54,plain,
( ( ~ ( r1 @ sK6_SY20 @ sK7_SY36 )
| ~ ~ ( p12 @ sK7_SY36 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(55,plain,
( ( ~ ( r1 @ sK1_X @ sK4_SY22 )
| ~ ~ ( ~ ( r1 @ sK4_SY22 @ sK5_SY35 )
| ~ ~ ( p13 @ sK5_SY35 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(56,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p16 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p14 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK2_SY32 )
| ~ ~ ( ~ ( r1 @ sK2_SY32 @ sK3_SY34 )
| ~ ~ ( p15 @ sK3_SY34 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(57,plain,
( ( ~ ( r1 @ sK6_SY20 @ sK7_SY36 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(58,plain,
( ( ~ ~ ( p12 @ sK7_SY36 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(59,plain,
( ( ~ ( r1 @ sK1_X @ sK4_SY22 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(60,plain,
( ( ~ ~ ( ~ ( r1 @ sK4_SY22 @ sK5_SY35 )
| ~ ~ ( p13 @ sK5_SY35 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(61,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p16 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p14 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(62,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK2_SY32 )
| ~ ~ ( ~ ( r1 @ sK2_SY32 @ sK3_SY34 )
| ~ ~ ( p15 @ sK3_SY34 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(63,plain,
( ( r1 @ sK6_SY20 @ sK7_SY36 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(64,plain,
( ( ~ ( p12 @ sK7_SY36 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(65,plain,
( ( r1 @ sK1_X @ sK4_SY22 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(66,plain,
( ( ~ ( ~ ( r1 @ sK4_SY22 @ sK5_SY35 )
| ~ ~ ( p13 @ sK5_SY35 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(67,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p16 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p14 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(68,plain,
( ( ~ ( ~ ( r1 @ sK1_X @ sK2_SY32 )
| ~ ~ ( ~ ( r1 @ sK2_SY32 @ sK3_SY34 )
| ~ ~ ( p15 @ sK3_SY34 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(69,plain,
( ( p12 @ sK7_SY36 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(70,plain,
( ( ~ ( r1 @ sK4_SY22 @ sK5_SY35 )
| ~ ~ ( p13 @ sK5_SY35 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(71,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p16 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p14 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(72,plain,
( ( ~ ( r1 @ sK1_X @ sK2_SY32 )
| ~ ~ ( ~ ( r1 @ sK2_SY32 @ sK3_SY34 )
| ~ ~ ( p15 @ sK3_SY34 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(73,plain,
( ( ~ ( r1 @ sK4_SY22 @ sK5_SY35 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(74,plain,
( ( ~ ~ ( p13 @ sK5_SY35 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(75,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p16 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p14 @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(76,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(77,plain,
( ( ~ ( r1 @ sK1_X @ sK2_SY32 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(78,plain,
( ( ~ ~ ( ~ ( r1 @ sK2_SY32 @ sK3_SY34 )
| ~ ~ ( p15 @ sK3_SY34 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(79,plain,
( ( r1 @ sK4_SY22 @ sK5_SY35 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(80,plain,
( ( ~ ( p13 @ sK5_SY35 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(81,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p16 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p14 @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(82,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(83,plain,
( ( r1 @ sK1_X @ sK2_SY32 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(84,plain,
( ( ~ ( ~ ( r1 @ sK2_SY32 @ sK3_SY34 )
| ~ ~ ( p15 @ sK3_SY34 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(85,plain,
( ( p13 @ sK5_SY35 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(86,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p16 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p14 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(87,plain,
! [SV5: $i] :
( ( ~ ( r1 @ sK1_X @ SV5 )
| ! [SY41: $i] :
( ~ ( r1 @ SV5 @ SY41 )
| ( p12 @ SY41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(88,plain,
( ( ~ ( r1 @ sK2_SY32 @ sK3_SY34 )
| ~ ~ ( p15 @ sK3_SY34 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(89,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p16 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(90,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p14 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(91,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV5 ) )
= $true )
| ( ( ! [SY41: $i] :
( ~ ( r1 @ SV5 @ SY41 )
| ( p12 @ SY41 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(92,plain,
( ( ~ ( r1 @ sK2_SY32 @ sK3_SY34 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(93,plain,
( ( ~ ~ ( p15 @ sK3_SY34 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(94,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p16 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(95,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p14 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(96,plain,
! [SV5: $i] :
( ( ( r1 @ sK1_X @ SV5 )
= $false )
| ( ( ! [SY41: $i] :
( ~ ( r1 @ SV5 @ SY41 )
| ( p12 @ SY41 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(97,plain,
( ( r1 @ sK2_SY32 @ sK3_SY34 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(98,plain,
( ( ~ ( p15 @ sK3_SY34 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(99,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p16 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(100,plain,
! [SV6: $i] :
( ( ~ ( r1 @ sK1_X @ SV6 )
| ! [SY42: $i] :
( ~ ( r1 @ SV6 @ SY42 )
| ( p14 @ SY42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(101,plain,
! [SV7: $i,SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ SV7 )
| ( p12 @ SV7 ) )
= $true )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(102,plain,
( ( p15 @ sK3_SY34 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(103,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p16 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(104,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(105,plain,
! [SV6: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV6 ) )
= $true )
| ( ( ! [SY42: $i] :
( ~ ( r1 @ SV6 @ SY42 )
| ( p14 @ SY42 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(106,plain,
! [SV7: $i,SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ SV7 ) )
= $true )
| ( ( p12 @ SV7 )
= $true )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(107,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p16 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(108,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p12 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(109,plain,
! [SV6: $i] :
( ( ( r1 @ sK1_X @ SV6 )
= $false )
| ( ( ! [SY42: $i] :
( ~ ( r1 @ SV6 @ SY42 )
| ( p14 @ SY42 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(110,plain,
! [SV7: $i,SV5: $i] :
( ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( p12 @ SV7 )
= $true )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(111,plain,
! [SV8: $i] :
( ( ~ ( r1 @ sK1_X @ SV8 )
| ! [SY43: $i] :
( ~ ( r1 @ SV8 @ SY43 )
| ( p16 @ SY43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(112,plain,
! [SV9: $i] :
( ( ~ ( r1 @ sK1_X @ SV9 )
| ! [SY44: $i] :
( ~ ( r1 @ SV9 @ SY44 )
| ( p12 @ SY44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(113,plain,
! [SV10: $i,SV6: $i] :
( ( ( ~ ( r1 @ SV6 @ SV10 )
| ( p14 @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(114,plain,
! [SV8: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV8 ) )
= $true )
| ( ( ! [SY43: $i] :
( ~ ( r1 @ SV8 @ SY43 )
| ( p16 @ SY43 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(115,plain,
! [SV9: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV9 ) )
= $true )
| ( ( ! [SY44: $i] :
( ~ ( r1 @ SV9 @ SY44 )
| ( p12 @ SY44 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(116,plain,
! [SV10: $i,SV6: $i] :
( ( ( ~ ( r1 @ SV6 @ SV10 ) )
= $true )
| ( ( p14 @ SV10 )
= $true )
| ( ( r1 @ sK1_X @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(117,plain,
! [SV8: $i] :
( ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SY43: $i] :
( ~ ( r1 @ SV8 @ SY43 )
| ( p16 @ SY43 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(118,plain,
! [SV9: $i] :
( ( ( r1 @ sK1_X @ SV9 )
= $false )
| ( ( ! [SY44: $i] :
( ~ ( r1 @ SV9 @ SY44 )
| ( p12 @ SY44 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(119,plain,
! [SV10: $i,SV6: $i] :
( ( ( r1 @ SV6 @ SV10 )
= $false )
| ( ( p14 @ SV10 )
= $true )
| ( ( r1 @ sK1_X @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(120,plain,
! [SV11: $i,SV8: $i] :
( ( ( ~ ( r1 @ SV8 @ SV11 )
| ( p16 @ SV11 ) )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(121,plain,
! [SV12: $i,SV9: $i] :
( ( ( ~ ( r1 @ SV9 @ SV12 )
| ( p12 @ SV12 ) )
= $true )
| ( ( r1 @ sK1_X @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(122,plain,
! [SV11: $i,SV8: $i] :
( ( ( ~ ( r1 @ SV8 @ SV11 ) )
= $true )
| ( ( p16 @ SV11 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(123,plain,
! [SV12: $i,SV9: $i] :
( ( ( ~ ( r1 @ SV9 @ SV12 ) )
= $true )
| ( ( p12 @ SV12 )
= $true )
| ( ( r1 @ sK1_X @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(124,plain,
! [SV11: $i,SV8: $i] :
( ( ( r1 @ SV8 @ SV11 )
= $false )
| ( ( p16 @ SV11 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(125,plain,
! [SV12: $i,SV9: $i] :
( ( ( r1 @ SV9 @ SV12 )
= $false )
| ( ( p12 @ SV12 )
= $true )
| ( ( r1 @ sK1_X @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(126,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[15,125,124,119,110,102,97,85,83,79,69,65,63,53,49,47,37,33]) ).
thf(127,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL682+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 3 00:54:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 2
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 0
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.35 (rf:0,axioms:2,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:4,loop_count:0,foatp_calls:0,translation:fof_full)............
% 0.19/0.44
% 0.19/0.44 ********************************
% 0.19/0.44 * All subproblems solved! *
% 0.19/0.44 ********************************
% 0.19/0.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,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:126,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.45
% 0.19/0.45 %**** Beginning of derivation protocol ****
% 0.19/0.45 % SZS output start CNFRefutation
% See solution above
% 0.19/0.45
% 0.19/0.45 %**** End of derivation protocol ****
% 0.19/0.45 %**** no. of clauses in derivation: 127 ****
% 0.19/0.45 %**** clause counter: 126 ****
% 0.19/0.45
% 0.19/0.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,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:126,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------