%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : LCL682+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:29:53 AM UTC 2026
% Result : Theorem 0.05s 0.24s
% Output : CNFRefutation 0.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 3
% Syntax : Number of formulae : 96 ( 63 unt; 0 typ; 0 def)
% Number of atoms : 754 ( 134 equ; 0 cnn)
% Maximal formula atoms : 21 ( 7 avg)
% Number of connectives : 1590 ( 399 ~; 384 |; 3 &; 801 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 11 con; 0-2 aty)
% Number of variables : 300 ( 0 ^; 295 !; 5 ?; 300 :)
% 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_SX0,type,
sK1_SX0: $i ).
thf(tp_sK2_SY31,type,
sK2_SY31: $i ).
thf(tp_sK3_SY29,type,
sK3_SY29: $i ).
thf(tp_sK4_SY27,type,
sK4_SY27: $i ).
thf(tp_sK5_SY34,type,
sK5_SY34: $i ).
thf(tp_sK6_SY25,type,
sK6_SY25: $i ).
thf(tp_sK7_SY35,type,
sK7_SY35: $i ).
thf(tp_sK8_SY36,type,
sK8_SY36: $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,
( ( ! [X: $i] : ( r1 @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(10,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( r1 @ X @ Y )
& ( r1 @ Y @ Z ) )
=> ( r1 @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(11,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(copy,[status(thm)],[8]) ).
thf(12,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p16 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p12 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p14 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p12 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p15 @ SX2 ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p13 @ SX2 ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p12 @ SX2 ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p11 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(13,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( r1 @ SX0 @ SX1 )
| ~ ( r1 @ SX1 @ SX2 ) )
| ( r1 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(14,plain,
! [SV1: $i] :
( ( r1 @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9]) ).
thf(15,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p16 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p12 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p14 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p12 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p15 @ SX2 ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p13 @ SX2 ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p12 @ SX2 ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p11 @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(16,plain,
! [SV2: $i] :
( ( ! [SY18: $i,SY19: $i] :
( ~ ~ ( ~ ( r1 @ SV2 @ SY18 )
| ~ ( r1 @ SY18 @ SY19 ) )
| ( r1 @ SV2 @ SY19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(17,plain,
( ( ~ ~ ( ~ ! [SY20: $i] :
( ~ ( r1 @ sK1_SX0 @ SY20 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p16 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p12 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p14 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p12 @ SX2 ) ) ) )
| ! [SY25: $i] :
( ~ ( r1 @ sK1_SX0 @ SY25 )
| ! [SX2: $i] :
( ~ ( r1 @ SY25 @ SX2 )
| ( p15 @ SX2 ) ) )
| ! [SY27: $i] :
( ~ ( r1 @ sK1_SX0 @ SY27 )
| ! [SX2: $i] :
( ~ ( r1 @ SY27 @ SX2 )
| ( p13 @ SX2 ) ) )
| ! [SY29: $i] :
( ~ ( r1 @ sK1_SX0 @ SY29 )
| ! [SX2: $i] :
( ~ ( r1 @ SY29 @ SX2 )
| ( p12 @ SX2 ) ) )
| ! [SY31: $i] :
( ~ ( r1 @ sK1_SX0 @ SY31 )
| ! [SX2: $i] :
( ~ ( r1 @ SY31 @ SX2 )
| ( p11 @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[15]) ).
thf(18,plain,
! [SV3: $i,SV2: $i] :
( ( ! [SY33: $i] :
( ~ ~ ( ~ ( r1 @ SV2 @ SV3 )
| ~ ( r1 @ SV3 @ SY33 ) )
| ( r1 @ SV2 @ SY33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ( ~ ! [SY20: $i] :
( ~ ( r1 @ sK1_SX0 @ SY20 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p16 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p12 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p14 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p12 @ SX2 ) ) ) )
| ! [SY25: $i] :
( ~ ( r1 @ sK1_SX0 @ SY25 )
| ! [SX2: $i] :
( ~ ( r1 @ SY25 @ SX2 )
| ( p15 @ SX2 ) ) )
| ! [SY27: $i] :
( ~ ( r1 @ sK1_SX0 @ SY27 )
| ! [SX2: $i] :
( ~ ( r1 @ SY27 @ SX2 )
| ( p13 @ SX2 ) ) )
| ! [SY29: $i] :
( ~ ( r1 @ sK1_SX0 @ SY29 )
| ! [SX2: $i] :
( ~ ( r1 @ SY29 @ SX2 )
| ( p12 @ SX2 ) ) )
| ! [SY31: $i] :
( ~ ( r1 @ sK1_SX0 @ SY31 )
| ! [SX2: $i] :
( ~ ( r1 @ SY31 @ SX2 )
| ( p11 @ SX2 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(20,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(21,plain,
( ( ~ ! [SY20: $i] :
( ~ ( r1 @ sK1_SX0 @ SY20 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p16 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p12 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p14 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p12 @ SX2 ) ) ) )
| ! [SY25: $i] :
( ~ ( r1 @ sK1_SX0 @ SY25 )
| ! [SX2: $i] :
( ~ ( r1 @ SY25 @ SX2 )
| ( p15 @ SX2 ) ) )
| ! [SY27: $i] :
( ~ ( r1 @ sK1_SX0 @ SY27 )
| ! [SX2: $i] :
( ~ ( r1 @ SY27 @ SX2 )
| ( p13 @ SX2 ) ) )
| ! [SY29: $i] :
( ~ ( r1 @ sK1_SX0 @ SY29 )
| ! [SX2: $i] :
( ~ ( r1 @ SY29 @ SX2 )
| ( p12 @ SX2 ) ) )
| ! [SY31: $i] :
( ~ ( r1 @ sK1_SX0 @ SY31 )
| ! [SX2: $i] :
( ~ ( r1 @ SY31 @ SX2 )
| ( p11 @ SX2 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(22,plain,
! [SV4: $i,SV3: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( r1 @ SV2 @ SV3 )
| ~ ( r1 @ SV3 @ SV4 ) ) )
= $true )
| ( ( r1 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(23,plain,
( ( ~ ! [SY20: $i] :
( ~ ( r1 @ sK1_SX0 @ SY20 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p16 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p12 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p14 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p12 @ SX2 ) ) ) )
| ! [SY25: $i] :
( ~ ( r1 @ sK1_SX0 @ SY25 )
| ! [SX2: $i] :
( ~ ( r1 @ SY25 @ SX2 )
| ( p15 @ SX2 ) ) )
| ! [SY27: $i] :
( ~ ( r1 @ sK1_SX0 @ SY27 )
| ! [SX2: $i] :
( ~ ( r1 @ SY27 @ SX2 )
| ( p13 @ SX2 ) ) )
| ! [SY29: $i] :
( ~ ( r1 @ sK1_SX0 @ SY29 )
| ! [SX2: $i] :
( ~ ( r1 @ SY29 @ SX2 )
| ( p12 @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(24,plain,
( ( ! [SY31: $i] :
( ~ ( r1 @ sK1_SX0 @ SY31 )
| ! [SX2: $i] :
( ~ ( r1 @ SY31 @ SX2 )
| ( p11 @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(25,plain,
! [SV4: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( ~ ( r1 @ SV2 @ SV3 )
| ~ ( r1 @ SV3 @ SV4 ) ) )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(26,plain,
( ( ~ ! [SY20: $i] :
( ~ ( r1 @ sK1_SX0 @ SY20 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p16 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p12 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p14 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p12 @ SX2 ) ) ) )
| ! [SY25: $i] :
( ~ ( r1 @ sK1_SX0 @ SY25 )
| ! [SX2: $i] :
( ~ ( r1 @ SY25 @ SX2 )
| ( p15 @ SX2 ) ) )
| ! [SY27: $i] :
( ~ ( r1 @ sK1_SX0 @ SY27 )
| ! [SX2: $i] :
( ~ ( r1 @ SY27 @ SX2 )
| ( p13 @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(27,plain,
( ( ! [SY29: $i] :
( ~ ( r1 @ sK1_SX0 @ SY29 )
| ! [SX2: $i] :
( ~ ( r1 @ SY29 @ SX2 )
| ( p12 @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(28,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK2_SY31 )
| ! [SY34: $i] :
( ~ ( r1 @ sK2_SY31 @ SY34 )
| ( p11 @ SY34 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[24]) ).
thf(29,plain,
! [SV4: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ SV3 )
| ~ ( r1 @ SV3 @ SV4 ) )
= $true )
| ( ( r1 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(30,plain,
( ( ~ ! [SY20: $i] :
( ~ ( r1 @ sK1_SX0 @ SY20 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p16 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p12 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p14 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p12 @ SX2 ) ) ) )
| ! [SY25: $i] :
( ~ ( r1 @ sK1_SX0 @ SY25 )
| ! [SX2: $i] :
( ~ ( r1 @ SY25 @ SX2 )
| ( p15 @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(31,plain,
( ( ! [SY27: $i] :
( ~ ( r1 @ sK1_SX0 @ SY27 )
| ! [SX2: $i] :
( ~ ( r1 @ SY27 @ SX2 )
| ( p13 @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(32,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK3_SY29 )
| ! [SY35: $i] :
( ~ ( r1 @ sK3_SY29 @ SY35 )
| ( p12 @ SY35 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[27]) ).
thf(33,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK2_SY31 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(34,plain,
( ( ! [SY34: $i] :
( ~ ( r1 @ sK2_SY31 @ SY34 )
| ( p11 @ SY34 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(35,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)],[29]) ).
thf(36,plain,
( ( ~ ! [SY20: $i] :
( ~ ( r1 @ sK1_SX0 @ SY20 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p16 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p12 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p14 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p12 @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(37,plain,
( ( ! [SY25: $i] :
( ~ ( r1 @ sK1_SX0 @ SY25 )
| ! [SX2: $i] :
( ~ ( r1 @ SY25 @ SX2 )
| ( p15 @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(38,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK4_SY27 )
| ! [SY36: $i] :
( ~ ( r1 @ sK4_SY27 @ SY36 )
| ( p13 @ SY36 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[31]) ).
thf(39,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK3_SY29 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(40,plain,
( ( ! [SY35: $i] :
( ~ ( r1 @ sK3_SY29 @ SY35 )
| ( p12 @ SY35 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(41,plain,
( ( r1 @ sK1_SX0 @ sK2_SY31 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(42,plain,
( ( ~ ( r1 @ sK2_SY31 @ sK5_SY34 )
| ( p11 @ sK5_SY34 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[34]) ).
thf(43,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)],[35]) ).
thf(44,plain,
( ( ! [SY20: $i] :
( ~ ( r1 @ sK1_SX0 @ SY20 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p16 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p12 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p14 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY20 @ SX2 )
| ( p12 @ SX2 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(45,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK6_SY25 )
| ! [SY37: $i] :
( ~ ( r1 @ sK6_SY25 @ SY37 )
| ( p15 @ SY37 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[37]) ).
thf(46,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK4_SY27 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(47,plain,
( ( ! [SY36: $i] :
( ~ ( r1 @ sK4_SY27 @ SY36 )
| ( p13 @ SY36 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(48,plain,
( ( r1 @ sK1_SX0 @ sK3_SY29 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(49,plain,
( ( ~ ( r1 @ sK3_SY29 @ sK7_SY35 )
| ( p12 @ sK7_SY35 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[40]) ).
thf(50,plain,
( ( ~ ( r1 @ sK2_SY31 @ sK5_SY34 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(51,plain,
( ( p11 @ sK5_SY34 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(52,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)],[43]) ).
thf(53,plain,
! [SV5: $i] :
( ( ~ ( r1 @ sK1_SX0 @ SV5 )
| ~ ( ~ ! [SY38: $i] :
( ~ ( r1 @ SV5 @ SY38 )
| ( p16 @ SY38 ) )
| ~ ! [SY39: $i] :
( ~ ( r1 @ SV5 @ SY39 )
| ( p12 @ SY39 ) )
| ~ ! [SY40: $i] :
( ~ ( r1 @ SV5 @ SY40 )
| ( p14 @ SY40 ) )
| ~ ! [SY41: $i] :
( ~ ( r1 @ SV5 @ SY41 )
| ( p12 @ SY41 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(54,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK6_SY25 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(55,plain,
( ( ! [SY37: $i] :
( ~ ( r1 @ sK6_SY25 @ SY37 )
| ( p15 @ SY37 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(56,plain,
( ( r1 @ sK1_SX0 @ sK4_SY27 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(57,plain,
( ( ~ ( r1 @ sK4_SY27 @ sK8_SY36 )
| ( p13 @ sK8_SY36 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[47]) ).
thf(58,plain,
( ( ~ ( r1 @ sK3_SY29 @ sK7_SY35 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(59,plain,
( ( p12 @ sK7_SY35 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(60,plain,
( ( r1 @ sK2_SY31 @ sK5_SY34 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(61,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV5 ) )
= $true )
| ( ( ~ ( ~ ! [SY38: $i] :
( ~ ( r1 @ SV5 @ SY38 )
| ( p16 @ SY38 ) )
| ~ ! [SY39: $i] :
( ~ ( r1 @ SV5 @ SY39 )
| ( p12 @ SY39 ) )
| ~ ! [SY40: $i] :
( ~ ( r1 @ SV5 @ SY40 )
| ( p14 @ SY40 ) )
| ~ ! [SY41: $i] :
( ~ ( r1 @ SV5 @ SY41 )
| ( p12 @ SY41 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(62,plain,
( ( r1 @ sK1_SX0 @ sK6_SY25 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(63,plain,
( ( ~ ( r1 @ sK6_SY25 @ sK9_SY37 )
| ( p15 @ sK9_SY37 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[55]) ).
thf(64,plain,
( ( ~ ( r1 @ sK4_SY27 @ sK8_SY36 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(65,plain,
( ( p13 @ sK8_SY36 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(66,plain,
( ( r1 @ sK3_SY29 @ sK7_SY35 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(67,plain,
! [SV5: $i] :
( ( ( r1 @ sK1_SX0 @ SV5 )
= $false )
| ( ( ~ ( ~ ! [SY38: $i] :
( ~ ( r1 @ SV5 @ SY38 )
| ( p16 @ SY38 ) )
| ~ ! [SY39: $i] :
( ~ ( r1 @ SV5 @ SY39 )
| ( p12 @ SY39 ) )
| ~ ! [SY40: $i] :
( ~ ( r1 @ SV5 @ SY40 )
| ( p14 @ SY40 ) )
| ~ ! [SY41: $i] :
( ~ ( r1 @ SV5 @ SY41 )
| ( p12 @ SY41 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(68,plain,
( ( ~ ( r1 @ sK6_SY25 @ sK9_SY37 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[63]) ).
thf(69,plain,
( ( p15 @ sK9_SY37 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[63]) ).
thf(70,plain,
( ( r1 @ sK4_SY27 @ sK8_SY36 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(71,plain,
! [SV5: $i] :
( ( ( ~ ! [SY38: $i] :
( ~ ( r1 @ SV5 @ SY38 )
| ( p16 @ SY38 ) )
| ~ ! [SY39: $i] :
( ~ ( r1 @ SV5 @ SY39 )
| ( p12 @ SY39 ) )
| ~ ! [SY40: $i] :
( ~ ( r1 @ SV5 @ SY40 )
| ( p14 @ SY40 ) )
| ~ ! [SY41: $i] :
( ~ ( r1 @ SV5 @ SY41 )
| ( p12 @ SY41 ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(72,plain,
( ( r1 @ sK6_SY25 @ sK9_SY37 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(73,plain,
! [SV5: $i] :
( ( ( ~ ! [SY38: $i] :
( ~ ( r1 @ SV5 @ SY38 )
| ( p16 @ SY38 ) )
| ~ ! [SY39: $i] :
( ~ ( r1 @ SV5 @ SY39 )
| ( p12 @ SY39 ) )
| ~ ! [SY40: $i] :
( ~ ( r1 @ SV5 @ SY40 )
| ( p14 @ SY40 ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(74,plain,
! [SV5: $i] :
( ( ( ~ ! [SY41: $i] :
( ~ ( r1 @ SV5 @ SY41 )
| ( p12 @ SY41 ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(75,plain,
! [SV5: $i] :
( ( ( ~ ! [SY38: $i] :
( ~ ( r1 @ SV5 @ SY38 )
| ( p16 @ SY38 ) )
| ~ ! [SY39: $i] :
( ~ ( r1 @ SV5 @ SY39 )
| ( p12 @ SY39 ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(76,plain,
! [SV5: $i] :
( ( ( ~ ! [SY40: $i] :
( ~ ( r1 @ SV5 @ SY40 )
| ( p14 @ SY40 ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(77,plain,
! [SV5: $i] :
( ( ( ! [SY41: $i] :
( ~ ( r1 @ SV5 @ SY41 )
| ( p12 @ SY41 ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(78,plain,
! [SV5: $i] :
( ( ( ~ ! [SY38: $i] :
( ~ ( r1 @ SV5 @ SY38 )
| ( p16 @ SY38 ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(79,plain,
! [SV5: $i] :
( ( ( ~ ! [SY39: $i] :
( ~ ( r1 @ SV5 @ SY39 )
| ( p12 @ SY39 ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(80,plain,
! [SV5: $i] :
( ( ( ! [SY40: $i] :
( ~ ( r1 @ SV5 @ SY40 )
| ( p14 @ SY40 ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(81,plain,
! [SV6: $i,SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ SV6 )
| ( p12 @ SV6 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(82,plain,
! [SV5: $i] :
( ( ( ! [SY38: $i] :
( ~ ( r1 @ SV5 @ SY38 )
| ( p16 @ SY38 ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(83,plain,
! [SV5: $i] :
( ( ( ! [SY39: $i] :
( ~ ( r1 @ SV5 @ SY39 )
| ( p12 @ SY39 ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(84,plain,
! [SV7: $i,SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ SV7 )
| ( p14 @ SV7 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(85,plain,
! [SV6: $i,SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ SV6 ) )
= $true )
| ( ( p12 @ SV6 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(86,plain,
! [SV8: $i,SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ SV8 )
| ( p16 @ SV8 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(87,plain,
! [SV9: $i,SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ SV9 )
| ( p12 @ SV9 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(88,plain,
! [SV7: $i,SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ SV7 ) )
= $true )
| ( ( p14 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(89,plain,
! [SV6: $i,SV5: $i] :
( ( ( r1 @ SV5 @ SV6 )
= $false )
| ( ( p12 @ SV6 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(90,plain,
! [SV8: $i,SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ SV8 ) )
= $true )
| ( ( p16 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(91,plain,
! [SV9: $i,SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ SV9 ) )
= $true )
| ( ( p12 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(92,plain,
! [SV7: $i,SV5: $i] :
( ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( p14 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(93,plain,
! [SV8: $i,SV5: $i] :
( ( ( r1 @ SV5 @ SV8 )
= $false )
| ( ( p16 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(94,plain,
! [SV9: $i,SV5: $i] :
( ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( p12 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(95,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[14,94,93,92,89,72,70,69,66,65,62,60,59,56,52,51,48,41]) ).
thf(96,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL682+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.05/0.19 % Computer : n011.cluster.edu
% 0.05/0.19 % Model : x86_64 x86_64
% 0.05/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.19 % Memory : 8046.5625MB
% 0.05/0.19 % OS : Linux 6.8.0-71-generic
% 0.05/0.19 % CPULimit : 300
% 0.05/0.19 % WCLimit : 300
% 0.05/0.19 % DateTime : Tue Oct 6 12:31:15 UTC 2026
% 0.05/0.19 % CPUTime :
% 0.05/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.05/0.24
% 0.05/0.24 No.of.Axioms: 2
% 0.05/0.24
% 0.05/0.24 Length.of.Defs: 0
% 0.05/0.24
% 0.05/0.24 Contains.Choice.Funs: false
% 0.05/0.24 ...
% 0.05/0.24
% 0.05/0.24 ********************************
% 0.05/0.24 * All subproblems solved! *
% 0.05/0.24 ********************************
% 0.05/0.24 % 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:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:95,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.05/0.24
% 0.05/0.24 %**** Beginning of derivation protocol ****
% 0.05/0.24 % SZS output start CNFRefutation
% See solution above
% 0.05/0.24
% 0.05/0.24 %**** End of derivation protocol ****
% 0.05/0.24 %**** no. of clauses in derivation: 96 ****
% 0.05/0.24 %**** clause counter: 95 ****
% 0.05/0.24
% 0.05/0.24 % 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:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:95,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------