TSTP Solution File: PUZ092^5 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ092^5 : 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 : n021.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 : Mon Jul 18 18:19:36 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 13
% Syntax : Number of formulae : 117 ( 64 unt; 12 typ; 0 def)
% Number of atoms : 1253 (1037 equ; 0 cnn)
% Maximal formula atoms : 32 ( 11 avg)
% Number of connectives : 1176 ( 456 ~; 300 |; 309 &; 0 @)
% ( 0 <=>; 111 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 14 con; 0-2 aty)
% Number of variables : 102 ( 0 ^ 102 !; 0 ?; 102 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_sK10_SY72,type,
sK10_SY72: $i ).
thf(tp_sK11_SY75,type,
sK11_SY75: $i ).
thf(tp_sK12_SY77,type,
sK12_SY77: $i ).
thf(tp_sK1_ACRES,type,
sK1_ACRES: $i ).
thf(tp_sK2_SY12,type,
sK2_SY12: $i ).
thf(tp_sK3_SY23,type,
sK3_SY23: $i ).
thf(tp_sK4_SY33,type,
sK4_SY33: $i ).
thf(tp_sK5_SY42,type,
sK5_SY42: $i ).
thf(tp_sK6_SY50,type,
sK6_SY50: $i ).
thf(tp_sK7_SY57,type,
sK7_SY57: $i ).
thf(tp_sK8_SY63,type,
sK8_SY63: $i ).
thf(tp_sK9_SY68,type,
sK9_SY68: $i ).
thf(1,conjecture,
! [ACRES: $i,MRSACRES: $i,BARRY: $i,MRSBARRY: $i,COLE: $i,MRSCOLE: $i,DIX: $i,MRSDIX: $i,EDEN: $i,MRSEDEN: $i,HALL: $i,MRSHALL: $i] :
( ( ( ( ( ACRES = MRSACRES )
& ( BARRY = MRSBARRY )
& ( EDEN = MRSHALL ) )
=> ( COLE = MRSDIX ) )
& ( ( ( ACRES = MRSACRES )
& ( HALL = MRSHALL )
& ( BARRY = MRSCOLE ) )
=> ( DIX != MRSEDEN ) )
& ( ( ( COLE = MRSCOLE )
& ( DIX = MRSDIX )
& ( DIX = COLE )
& ( ACRES != MRSBARRY ) )
=> ( EDEN != MRSHALL ) )
& ( ( ( ACRES = MRSACRES )
& ( DIX = MRSDIX )
& ( BARRY != MRSCOLE ) )
=> ( EDEN = MRSHALL ) )
& ( ( ( EDEN = MRSEDEN )
& ( HALL = MRSHALL )
& ( COLE = MRSDIX ) )
=> ( ACRES != MRSBARRY ) )
& ( ( ( BARRY = MRSBARRY )
& ( COLE = MRSCOLE )
& ( COLE = BARRY )
& ( EDEN != MRSHALL ) )
=> ( DIX = MRSEDEN ) ) )
=> ( ( ACRES != MRSACRES )
| ( BARRY != MRSBARRY )
| ( COLE != MRSCOLE )
| ( DIX != MRSDIX )
| ( EDEN != MRSEDEN )
| ( HALL != MRSHALL ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cSIXFRIENDS_EASIER) ).
thf(2,negated_conjecture,
( ( ! [ACRES: $i,MRSACRES: $i,BARRY: $i,MRSBARRY: $i,COLE: $i,MRSCOLE: $i,DIX: $i,MRSDIX: $i,EDEN: $i,MRSEDEN: $i,HALL: $i,MRSHALL: $i] :
( ( ( ( ( ACRES = MRSACRES )
& ( BARRY = MRSBARRY )
& ( EDEN = MRSHALL ) )
=> ( COLE = MRSDIX ) )
& ( ( ( ACRES = MRSACRES )
& ( HALL = MRSHALL )
& ( BARRY = MRSCOLE ) )
=> ( DIX != MRSEDEN ) )
& ( ( ( COLE = MRSCOLE )
& ( DIX = MRSDIX )
& ( DIX = COLE )
& ( ACRES != MRSBARRY ) )
=> ( EDEN != MRSHALL ) )
& ( ( ( ACRES = MRSACRES )
& ( DIX = MRSDIX )
& ( BARRY != MRSCOLE ) )
=> ( EDEN = MRSHALL ) )
& ( ( ( EDEN = MRSEDEN )
& ( HALL = MRSHALL )
& ( COLE = MRSDIX ) )
=> ( ACRES != MRSBARRY ) )
& ( ( ( BARRY = MRSBARRY )
& ( COLE = MRSCOLE )
& ( COLE = BARRY )
& ( EDEN != MRSHALL ) )
=> ( DIX = MRSEDEN ) ) )
=> ( ( ACRES != MRSACRES )
| ( BARRY != MRSBARRY )
| ( COLE != MRSCOLE )
| ( DIX != MRSDIX )
| ( EDEN != MRSEDEN )
| ( HALL != MRSHALL ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [ACRES: $i,MRSACRES: $i,BARRY: $i,MRSBARRY: $i,COLE: $i,MRSCOLE: $i,DIX: $i,MRSDIX: $i,EDEN: $i,MRSEDEN: $i,HALL: $i,MRSHALL: $i] :
( ( ( ( ( ACRES = MRSACRES )
& ( BARRY = MRSBARRY )
& ( EDEN = MRSHALL ) )
=> ( COLE = MRSDIX ) )
& ( ( ( ACRES = MRSACRES )
& ( HALL = MRSHALL )
& ( BARRY = MRSCOLE ) )
=> ( DIX != MRSEDEN ) )
& ( ( ( COLE = MRSCOLE )
& ( DIX = MRSDIX )
& ( DIX = COLE )
& ( ACRES != MRSBARRY ) )
=> ( EDEN != MRSHALL ) )
& ( ( ( ACRES = MRSACRES )
& ( DIX = MRSDIX )
& ( BARRY != MRSCOLE ) )
=> ( EDEN = MRSHALL ) )
& ( ( ( EDEN = MRSEDEN )
& ( HALL = MRSHALL )
& ( COLE = MRSDIX ) )
=> ( ACRES != MRSBARRY ) )
& ( ( ( BARRY = MRSBARRY )
& ( COLE = MRSCOLE )
& ( COLE = BARRY )
& ( EDEN != MRSHALL ) )
=> ( DIX = MRSEDEN ) ) )
=> ( ( ACRES != MRSACRES )
| ( BARRY != MRSBARRY )
| ( COLE != MRSCOLE )
| ( DIX != MRSDIX )
| ( EDEN != MRSEDEN )
| ( HALL != MRSHALL ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY12: $i,SY13: $i,SY14: $i,SY15: $i,SY16: $i,SY17: $i,SY18: $i,SY19: $i,SY20: $i,SY21: $i,SY22: $i] :
( ( ( ( ( sK1_ACRES = SY12 )
& ( SY13 = SY14 )
& ( SY19 = SY22 ) )
=> ( SY15 = SY18 ) )
& ( ( ( sK1_ACRES = SY12 )
& ( SY21 = SY22 )
& ( SY13 = SY16 ) )
=> ( SY17 != SY20 ) )
& ( ( ( SY15 = SY16 )
& ( SY17 = SY18 )
& ( SY17 = SY15 )
& ( sK1_ACRES != SY14 ) )
=> ( SY19 != SY22 ) )
& ( ( ( sK1_ACRES = SY12 )
& ( SY17 = SY18 )
& ( SY13 != SY16 ) )
=> ( SY19 = SY22 ) )
& ( ( ( SY19 = SY20 )
& ( SY21 = SY22 )
& ( SY15 = SY18 ) )
=> ( sK1_ACRES != SY14 ) )
& ( ( ( SY13 = SY14 )
& ( SY15 = SY16 )
& ( SY15 = SY13 )
& ( SY19 != SY22 ) )
=> ( SY17 = SY20 ) ) )
=> ( ( sK1_ACRES != SY12 )
| ( SY13 != SY14 )
| ( SY15 != SY16 )
| ( SY17 != SY18 )
| ( SY19 != SY20 )
| ( SY21 != SY22 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY23: $i,SY24: $i,SY25: $i,SY26: $i,SY27: $i,SY28: $i,SY29: $i,SY30: $i,SY31: $i,SY32: $i] :
( ( ( ( ( sK1_ACRES = sK2_SY12 )
& ( SY23 = SY24 )
& ( SY29 = SY32 ) )
=> ( SY25 = SY28 ) )
& ( ( ( sK1_ACRES = sK2_SY12 )
& ( SY31 = SY32 )
& ( SY23 = SY26 ) )
=> ( SY27 != SY30 ) )
& ( ( ( SY25 = SY26 )
& ( SY27 = SY28 )
& ( SY27 = SY25 )
& ( sK1_ACRES != SY24 ) )
=> ( SY29 != SY32 ) )
& ( ( ( sK1_ACRES = sK2_SY12 )
& ( SY27 = SY28 )
& ( SY23 != SY26 ) )
=> ( SY29 = SY32 ) )
& ( ( ( SY29 = SY30 )
& ( SY31 = SY32 )
& ( SY25 = SY28 ) )
=> ( sK1_ACRES != SY24 ) )
& ( ( ( SY23 = SY24 )
& ( SY25 = SY26 )
& ( SY25 = SY23 )
& ( SY29 != SY32 ) )
=> ( SY27 = SY30 ) ) )
=> ( ( sK1_ACRES != sK2_SY12 )
| ( SY23 != SY24 )
| ( SY25 != SY26 )
| ( SY27 != SY28 )
| ( SY29 != SY30 )
| ( SY31 != SY32 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY33: $i,SY34: $i,SY35: $i,SY36: $i,SY37: $i,SY38: $i,SY39: $i,SY40: $i,SY41: $i] :
( ( ( ( ( sK1_ACRES = sK2_SY12 )
& ( sK3_SY23 = SY33 )
& ( SY38 = SY41 ) )
=> ( SY34 = SY37 ) )
& ( ( ( sK1_ACRES = sK2_SY12 )
& ( SY40 = SY41 )
& ( sK3_SY23 = SY35 ) )
=> ( SY36 != SY39 ) )
& ( ( ( SY34 = SY35 )
& ( SY36 = SY37 )
& ( SY36 = SY34 )
& ( sK1_ACRES != SY33 ) )
=> ( SY38 != SY41 ) )
& ( ( ( sK1_ACRES = sK2_SY12 )
& ( SY36 = SY37 )
& ( sK3_SY23 != SY35 ) )
=> ( SY38 = SY41 ) )
& ( ( ( SY38 = SY39 )
& ( SY40 = SY41 )
& ( SY34 = SY37 ) )
=> ( sK1_ACRES != SY33 ) )
& ( ( ( sK3_SY23 = SY33 )
& ( SY34 = SY35 )
& ( SY34 = sK3_SY23 )
& ( SY38 != SY41 ) )
=> ( SY36 = SY39 ) ) )
=> ( ( sK1_ACRES != sK2_SY12 )
| ( sK3_SY23 != SY33 )
| ( SY34 != SY35 )
| ( SY36 != SY37 )
| ( SY38 != SY39 )
| ( SY40 != SY41 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( ! [SY42: $i,SY43: $i,SY44: $i,SY45: $i,SY46: $i,SY47: $i,SY48: $i,SY49: $i] :
( ( ( ( ( sK1_ACRES = sK2_SY12 )
& ( sK3_SY23 = sK4_SY33 )
& ( SY46 = SY49 ) )
=> ( SY42 = SY45 ) )
& ( ( ( sK1_ACRES = sK2_SY12 )
& ( SY48 = SY49 )
& ( sK3_SY23 = SY43 ) )
=> ( SY44 != SY47 ) )
& ( ( ( SY42 = SY43 )
& ( SY44 = SY45 )
& ( SY44 = SY42 )
& ( sK1_ACRES != sK4_SY33 ) )
=> ( SY46 != SY49 ) )
& ( ( ( sK1_ACRES = sK2_SY12 )
& ( SY44 = SY45 )
& ( sK3_SY23 != SY43 ) )
=> ( SY46 = SY49 ) )
& ( ( ( SY46 = SY47 )
& ( SY48 = SY49 )
& ( SY42 = SY45 ) )
=> ( sK1_ACRES != sK4_SY33 ) )
& ( ( ( sK3_SY23 = sK4_SY33 )
& ( SY42 = SY43 )
& ( SY42 = sK3_SY23 )
& ( SY46 != SY49 ) )
=> ( SY44 = SY47 ) ) )
=> ( ( sK1_ACRES != sK2_SY12 )
| ( sK3_SY23 != sK4_SY33 )
| ( SY42 != SY43 )
| ( SY44 != SY45 )
| ( SY46 != SY47 )
| ( SY48 != SY49 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [SY50: $i,SY51: $i,SY52: $i,SY53: $i,SY54: $i,SY55: $i,SY56: $i] :
( ( ( ( ( sK1_ACRES = sK2_SY12 )
& ( sK3_SY23 = sK4_SY33 )
& ( SY53 = SY56 ) )
=> ( sK5_SY42 = SY52 ) )
& ( ( ( sK1_ACRES = sK2_SY12 )
& ( SY55 = SY56 )
& ( sK3_SY23 = SY50 ) )
=> ( SY51 != SY54 ) )
& ( ( ( sK5_SY42 = SY50 )
& ( SY51 = SY52 )
& ( SY51 = sK5_SY42 )
& ( sK1_ACRES != sK4_SY33 ) )
=> ( SY53 != SY56 ) )
& ( ( ( sK1_ACRES = sK2_SY12 )
& ( SY51 = SY52 )
& ( sK3_SY23 != SY50 ) )
=> ( SY53 = SY56 ) )
& ( ( ( SY53 = SY54 )
& ( SY55 = SY56 )
& ( sK5_SY42 = SY52 ) )
=> ( sK1_ACRES != sK4_SY33 ) )
& ( ( ( sK3_SY23 = sK4_SY33 )
& ( sK5_SY42 = SY50 )
& ( sK5_SY42 = sK3_SY23 )
& ( SY53 != SY56 ) )
=> ( SY51 = SY54 ) ) )
=> ( ( sK1_ACRES != sK2_SY12 )
| ( sK3_SY23 != sK4_SY33 )
| ( sK5_SY42 != SY50 )
| ( SY51 != SY52 )
| ( SY53 != SY54 )
| ( SY55 != SY56 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[7]) ).
thf(9,plain,
( ( ! [SY57: $i,SY58: $i,SY59: $i,SY60: $i,SY61: $i,SY62: $i] :
( ( ( ( ( sK1_ACRES = sK2_SY12 )
& ( sK3_SY23 = sK4_SY33 )
& ( SY59 = SY62 ) )
=> ( sK5_SY42 = SY58 ) )
& ( ( ( sK1_ACRES = sK2_SY12 )
& ( SY61 = SY62 )
& ( sK3_SY23 = sK6_SY50 ) )
=> ( SY57 != SY60 ) )
& ( ( ( sK5_SY42 = sK6_SY50 )
& ( SY57 = SY58 )
& ( SY57 = sK5_SY42 )
& ( sK1_ACRES != sK4_SY33 ) )
=> ( SY59 != SY62 ) )
& ( ( ( sK1_ACRES = sK2_SY12 )
& ( SY57 = SY58 )
& ( sK3_SY23 != sK6_SY50 ) )
=> ( SY59 = SY62 ) )
& ( ( ( SY59 = SY60 )
& ( SY61 = SY62 )
& ( sK5_SY42 = SY58 ) )
=> ( sK1_ACRES != sK4_SY33 ) )
& ( ( ( sK3_SY23 = sK4_SY33 )
& ( sK5_SY42 = sK6_SY50 )
& ( sK5_SY42 = sK3_SY23 )
& ( SY59 != SY62 ) )
=> ( SY57 = SY60 ) ) )
=> ( ( sK1_ACRES != sK2_SY12 )
| ( sK3_SY23 != sK4_SY33 )
| ( sK5_SY42 != sK6_SY50 )
| ( SY57 != SY58 )
| ( SY59 != SY60 )
| ( SY61 != SY62 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[8]) ).
thf(10,plain,
( ( ! [SY63: $i,SY64: $i,SY65: $i,SY66: $i,SY67: $i] :
( ( ( ( ( sK1_ACRES = sK2_SY12 )
& ( sK3_SY23 = sK4_SY33 )
& ( SY64 = SY67 ) )
=> ( sK5_SY42 = SY63 ) )
& ( ( ( sK1_ACRES = sK2_SY12 )
& ( SY66 = SY67 )
& ( sK3_SY23 = sK6_SY50 ) )
=> ( sK7_SY57 != SY65 ) )
& ( ( ( sK5_SY42 = sK6_SY50 )
& ( sK7_SY57 = SY63 )
& ( sK7_SY57 = sK5_SY42 )
& ( sK1_ACRES != sK4_SY33 ) )
=> ( SY64 != SY67 ) )
& ( ( ( sK1_ACRES = sK2_SY12 )
& ( sK7_SY57 = SY63 )
& ( sK3_SY23 != sK6_SY50 ) )
=> ( SY64 = SY67 ) )
& ( ( ( SY64 = SY65 )
& ( SY66 = SY67 )
& ( sK5_SY42 = SY63 ) )
=> ( sK1_ACRES != sK4_SY33 ) )
& ( ( ( sK3_SY23 = sK4_SY33 )
& ( sK5_SY42 = sK6_SY50 )
& ( sK5_SY42 = sK3_SY23 )
& ( SY64 != SY67 ) )
=> ( sK7_SY57 = SY65 ) ) )
=> ( ( sK1_ACRES != sK2_SY12 )
| ( sK3_SY23 != sK4_SY33 )
| ( sK5_SY42 != sK6_SY50 )
| ( sK7_SY57 != SY63 )
| ( SY64 != SY65 )
| ( SY66 != SY67 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[9]) ).
thf(11,plain,
( ( ! [SY68: $i,SY69: $i,SY70: $i,SY71: $i] :
( ( ( ( ( sK1_ACRES = sK2_SY12 )
& ( sK3_SY23 = sK4_SY33 )
& ( SY68 = SY71 ) )
=> ( sK5_SY42 = sK8_SY63 ) )
& ( ( ( sK1_ACRES = sK2_SY12 )
& ( SY70 = SY71 )
& ( sK3_SY23 = sK6_SY50 ) )
=> ( sK7_SY57 != SY69 ) )
& ( ( ( sK5_SY42 = sK6_SY50 )
& ( sK7_SY57 = sK8_SY63 )
& ( sK7_SY57 = sK5_SY42 )
& ( sK1_ACRES != sK4_SY33 ) )
=> ( SY68 != SY71 ) )
& ( ( ( sK1_ACRES = sK2_SY12 )
& ( sK7_SY57 = sK8_SY63 )
& ( sK3_SY23 != sK6_SY50 ) )
=> ( SY68 = SY71 ) )
& ( ( ( SY68 = SY69 )
& ( SY70 = SY71 )
& ( sK5_SY42 = sK8_SY63 ) )
=> ( sK1_ACRES != sK4_SY33 ) )
& ( ( ( sK3_SY23 = sK4_SY33 )
& ( sK5_SY42 = sK6_SY50 )
& ( sK5_SY42 = sK3_SY23 )
& ( SY68 != SY71 ) )
=> ( sK7_SY57 = SY69 ) ) )
=> ( ( sK1_ACRES != sK2_SY12 )
| ( sK3_SY23 != sK4_SY33 )
| ( sK5_SY42 != sK6_SY50 )
| ( sK7_SY57 != sK8_SY63 )
| ( SY68 != SY69 )
| ( SY70 != SY71 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[10]) ).
thf(12,plain,
( ( ! [SY72: $i,SY73: $i,SY74: $i] :
( ( ( ( ( sK1_ACRES = sK2_SY12 )
& ( sK3_SY23 = sK4_SY33 )
& ( sK9_SY68 = SY74 ) )
=> ( sK5_SY42 = sK8_SY63 ) )
& ( ( ( sK1_ACRES = sK2_SY12 )
& ( SY73 = SY74 )
& ( sK3_SY23 = sK6_SY50 ) )
=> ( sK7_SY57 != SY72 ) )
& ( ( ( sK5_SY42 = sK6_SY50 )
& ( sK7_SY57 = sK8_SY63 )
& ( sK7_SY57 = sK5_SY42 )
& ( sK1_ACRES != sK4_SY33 ) )
=> ( sK9_SY68 != SY74 ) )
& ( ( ( sK1_ACRES = sK2_SY12 )
& ( sK7_SY57 = sK8_SY63 )
& ( sK3_SY23 != sK6_SY50 ) )
=> ( sK9_SY68 = SY74 ) )
& ( ( ( sK9_SY68 = SY72 )
& ( SY73 = SY74 )
& ( sK5_SY42 = sK8_SY63 ) )
=> ( sK1_ACRES != sK4_SY33 ) )
& ( ( ( sK3_SY23 = sK4_SY33 )
& ( sK5_SY42 = sK6_SY50 )
& ( sK5_SY42 = sK3_SY23 )
& ( sK9_SY68 != SY74 ) )
=> ( sK7_SY57 = SY72 ) ) )
=> ( ( sK1_ACRES != sK2_SY12 )
| ( sK3_SY23 != sK4_SY33 )
| ( sK5_SY42 != sK6_SY50 )
| ( sK7_SY57 != sK8_SY63 )
| ( sK9_SY68 != SY72 )
| ( SY73 != SY74 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[11]) ).
thf(13,plain,
( ( ! [SY75: $i,SY76: $i] :
( ( ( ( ( sK1_ACRES = sK2_SY12 )
& ( sK3_SY23 = sK4_SY33 )
& ( sK9_SY68 = SY76 ) )
=> ( sK5_SY42 = sK8_SY63 ) )
& ( ( ( sK1_ACRES = sK2_SY12 )
& ( SY75 = SY76 )
& ( sK3_SY23 = sK6_SY50 ) )
=> ( sK7_SY57 != sK10_SY72 ) )
& ( ( ( sK5_SY42 = sK6_SY50 )
& ( sK7_SY57 = sK8_SY63 )
& ( sK7_SY57 = sK5_SY42 )
& ( sK1_ACRES != sK4_SY33 ) )
=> ( sK9_SY68 != SY76 ) )
& ( ( ( sK1_ACRES = sK2_SY12 )
& ( sK7_SY57 = sK8_SY63 )
& ( sK3_SY23 != sK6_SY50 ) )
=> ( sK9_SY68 = SY76 ) )
& ( ( ( sK9_SY68 = sK10_SY72 )
& ( SY75 = SY76 )
& ( sK5_SY42 = sK8_SY63 ) )
=> ( sK1_ACRES != sK4_SY33 ) )
& ( ( ( sK3_SY23 = sK4_SY33 )
& ( sK5_SY42 = sK6_SY50 )
& ( sK5_SY42 = sK3_SY23 )
& ( sK9_SY68 != SY76 ) )
=> ( sK7_SY57 = sK10_SY72 ) ) )
=> ( ( sK1_ACRES != sK2_SY12 )
| ( sK3_SY23 != sK4_SY33 )
| ( sK5_SY42 != sK6_SY50 )
| ( sK7_SY57 != sK8_SY63 )
| ( sK9_SY68 != sK10_SY72 )
| ( SY75 != SY76 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[12]) ).
thf(14,plain,
( ( ! [SY77: $i] :
( ( ( ( ( sK1_ACRES = sK2_SY12 )
& ( sK3_SY23 = sK4_SY33 )
& ( sK9_SY68 = SY77 ) )
=> ( sK5_SY42 = sK8_SY63 ) )
& ( ( ( sK1_ACRES = sK2_SY12 )
& ( sK11_SY75 = SY77 )
& ( sK3_SY23 = sK6_SY50 ) )
=> ( sK7_SY57 != sK10_SY72 ) )
& ( ( ( sK5_SY42 = sK6_SY50 )
& ( sK7_SY57 = sK8_SY63 )
& ( sK7_SY57 = sK5_SY42 )
& ( sK1_ACRES != sK4_SY33 ) )
=> ( sK9_SY68 != SY77 ) )
& ( ( ( sK1_ACRES = sK2_SY12 )
& ( sK7_SY57 = sK8_SY63 )
& ( sK3_SY23 != sK6_SY50 ) )
=> ( sK9_SY68 = SY77 ) )
& ( ( ( sK9_SY68 = sK10_SY72 )
& ( sK11_SY75 = SY77 )
& ( sK5_SY42 = sK8_SY63 ) )
=> ( sK1_ACRES != sK4_SY33 ) )
& ( ( ( sK3_SY23 = sK4_SY33 )
& ( sK5_SY42 = sK6_SY50 )
& ( sK5_SY42 = sK3_SY23 )
& ( sK9_SY68 != SY77 ) )
=> ( sK7_SY57 = sK10_SY72 ) ) )
=> ( ( sK1_ACRES != sK2_SY12 )
| ( sK3_SY23 != sK4_SY33 )
| ( sK5_SY42 != sK6_SY50 )
| ( sK7_SY57 != sK8_SY63 )
| ( sK9_SY68 != sK10_SY72 )
| ( sK11_SY75 != SY77 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[13]) ).
thf(15,plain,
( ( ( ( ( ( sK1_ACRES = sK2_SY12 )
& ( sK3_SY23 = sK4_SY33 )
& ( sK9_SY68 = sK12_SY77 ) )
=> ( sK5_SY42 = sK8_SY63 ) )
& ( ( ( sK1_ACRES = sK2_SY12 )
& ( sK11_SY75 = sK12_SY77 )
& ( sK3_SY23 = sK6_SY50 ) )
=> ( sK7_SY57 != sK10_SY72 ) )
& ( ( ( sK5_SY42 = sK6_SY50 )
& ( sK7_SY57 = sK8_SY63 )
& ( sK7_SY57 = sK5_SY42 )
& ( sK1_ACRES != sK4_SY33 ) )
=> ( sK9_SY68 != sK12_SY77 ) )
& ( ( ( sK1_ACRES = sK2_SY12 )
& ( sK7_SY57 = sK8_SY63 )
& ( sK3_SY23 != sK6_SY50 ) )
=> ( sK9_SY68 = sK12_SY77 ) )
& ( ( ( sK9_SY68 = sK10_SY72 )
& ( sK11_SY75 = sK12_SY77 )
& ( sK5_SY42 = sK8_SY63 ) )
=> ( sK1_ACRES != sK4_SY33 ) )
& ( ( ( sK3_SY23 = sK4_SY33 )
& ( sK5_SY42 = sK6_SY50 )
& ( sK5_SY42 = sK3_SY23 )
& ( sK9_SY68 != sK12_SY77 ) )
=> ( sK7_SY57 = sK10_SY72 ) ) )
=> ( ( sK1_ACRES != sK2_SY12 )
| ( sK3_SY23 != sK4_SY33 )
| ( sK5_SY42 != sK6_SY50 )
| ( sK7_SY57 != sK8_SY63 )
| ( sK9_SY68 != sK10_SY72 )
| ( sK11_SY75 != sK12_SY77 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[14]) ).
thf(16,plain,
( ( ( ( sK1_ACRES = sK2_SY12 )
& ( sK3_SY23 = sK4_SY33 )
& ( sK9_SY68 = sK12_SY77 ) )
=> ( sK5_SY42 = sK8_SY63 ) )
= $true ),
inference(standard_cnf,[status(thm)],[15]) ).
thf(17,plain,
( ( ( ( sK1_ACRES = sK2_SY12 )
& ( sK11_SY75 = sK12_SY77 )
& ( sK3_SY23 = sK6_SY50 ) )
=> ( sK7_SY57 != sK10_SY72 ) )
= $true ),
inference(standard_cnf,[status(thm)],[15]) ).
thf(18,plain,
( ( ( ( sK5_SY42 = sK6_SY50 )
& ( sK7_SY57 = sK8_SY63 )
& ( sK7_SY57 = sK5_SY42 )
& ( sK1_ACRES != sK4_SY33 ) )
=> ( sK9_SY68 != sK12_SY77 ) )
= $true ),
inference(standard_cnf,[status(thm)],[15]) ).
thf(19,plain,
( ( ( ( sK1_ACRES = sK2_SY12 )
& ( sK7_SY57 = sK8_SY63 )
& ( sK3_SY23 != sK6_SY50 ) )
=> ( sK9_SY68 = sK12_SY77 ) )
= $true ),
inference(standard_cnf,[status(thm)],[15]) ).
thf(20,plain,
( ( ( ( sK9_SY68 = sK10_SY72 )
& ( sK11_SY75 = sK12_SY77 )
& ( sK5_SY42 = sK8_SY63 ) )
=> ( sK1_ACRES != sK4_SY33 ) )
= $true ),
inference(standard_cnf,[status(thm)],[15]) ).
thf(21,plain,
( ( ( ( sK3_SY23 = sK4_SY33 )
& ( sK5_SY42 = sK6_SY50 )
& ( sK5_SY42 = sK3_SY23 )
& ( sK9_SY68 != sK12_SY77 ) )
=> ( sK7_SY57 = sK10_SY72 ) )
= $true ),
inference(standard_cnf,[status(thm)],[15]) ).
thf(22,plain,
( ( ( sK1_ACRES != sK2_SY12 )
| ( sK3_SY23 != sK4_SY33 )
| ( sK5_SY42 != sK6_SY50 )
| ( sK7_SY57 != sK8_SY63 )
| ( sK9_SY68 != sK10_SY72 )
| ( sK11_SY75 != sK12_SY77 ) )
= $false ),
inference(standard_cnf,[status(thm)],[15]) ).
thf(23,plain,
( ( ~ ( ( sK1_ACRES != sK2_SY12 )
| ( sK3_SY23 != sK4_SY33 )
| ( sK5_SY42 != sK6_SY50 )
| ( sK7_SY57 != sK8_SY63 )
| ( sK9_SY68 != sK10_SY72 )
| ( sK11_SY75 != sK12_SY77 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[22]) ).
thf(24,plain,
( ( ( sK11_SY75 = sK12_SY77 )
& ( sK9_SY68 = sK10_SY72 )
& ( sK7_SY57 = sK8_SY63 )
& ( sK5_SY42 = sK6_SY50 )
& ( sK1_ACRES = sK2_SY12 )
& ( sK3_SY23 = sK4_SY33 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(25,plain,
( ( ( sK1_ACRES != sK2_SY12 )
| ( sK3_SY23 != sK4_SY33 )
| ( sK9_SY68 != sK12_SY77 )
| ( sK5_SY42 = sK8_SY63 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(26,plain,
( ( ( sK1_ACRES != sK2_SY12 )
| ( sK11_SY75 != sK12_SY77 )
| ( sK3_SY23 != sK6_SY50 )
| ( sK7_SY57 != sK10_SY72 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(27,plain,
( ( ( sK1_ACRES = sK4_SY33 )
| ( sK5_SY42 != sK6_SY50 )
| ( sK7_SY57 != sK8_SY63 )
| ( sK7_SY57 != sK5_SY42 )
| ( sK9_SY68 != sK12_SY77 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(28,plain,
( ( ( sK3_SY23 = sK6_SY50 )
| ( sK1_ACRES != sK2_SY12 )
| ( sK7_SY57 != sK8_SY63 )
| ( sK9_SY68 = sK12_SY77 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(29,plain,
( ( ( sK9_SY68 != sK10_SY72 )
| ( sK11_SY75 != sK12_SY77 )
| ( sK5_SY42 != sK8_SY63 )
| ( sK1_ACRES != sK4_SY33 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[20]) ).
thf(30,plain,
( ( ( sK9_SY68 = sK12_SY77 )
| ( sK3_SY23 != sK4_SY33 )
| ( sK5_SY42 != sK6_SY50 )
| ( sK5_SY42 != sK3_SY23 )
| ( sK7_SY57 = sK10_SY72 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[21]) ).
thf(31,plain,
( ( ( sK9_SY68 = sK12_SY77 )
| ( sK3_SY23 != sK4_SY33 )
| ( sK5_SY42 != sK6_SY50 )
| ( sK5_SY42 != sK3_SY23 )
| ( sK7_SY57 = sK10_SY72 ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(32,plain,
( ( ( sK9_SY68 != sK10_SY72 )
| ( sK11_SY75 != sK12_SY77 )
| ( sK5_SY42 != sK8_SY63 )
| ( sK1_ACRES != sK4_SY33 ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(33,plain,
( ( ( sK3_SY23 = sK6_SY50 )
| ( sK1_ACRES != sK2_SY12 )
| ( sK7_SY57 != sK8_SY63 )
| ( sK9_SY68 = sK12_SY77 ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(34,plain,
( ( ( sK1_ACRES = sK4_SY33 )
| ( sK5_SY42 != sK6_SY50 )
| ( sK7_SY57 != sK8_SY63 )
| ( sK7_SY57 != sK5_SY42 )
| ( sK9_SY68 != sK12_SY77 ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(35,plain,
( ( ( sK1_ACRES != sK2_SY12 )
| ( sK11_SY75 != sK12_SY77 )
| ( sK3_SY23 != sK6_SY50 )
| ( sK7_SY57 != sK10_SY72 ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(36,plain,
( ( ( sK1_ACRES != sK2_SY12 )
| ( sK3_SY23 != sK4_SY33 )
| ( sK9_SY68 != sK12_SY77 )
| ( sK5_SY42 = sK8_SY63 ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(37,plain,
( ( ( sK11_SY75 = sK12_SY77 )
& ( sK9_SY68 = sK10_SY72 )
& ( sK7_SY57 = sK8_SY63 )
& ( sK5_SY42 = sK6_SY50 )
& ( sK1_ACRES = sK2_SY12 )
& ( sK3_SY23 = sK4_SY33 ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(38,plain,
( ( ~ ( ( sK11_SY75 != sK12_SY77 )
| ~ ~ ( ( sK9_SY68 != sK10_SY72 )
| ~ ~ ( ( sK7_SY57 != sK8_SY63 )
| ~ ~ ( ( sK5_SY42 != sK6_SY50 )
| ~ ~ ( ( sK1_ACRES != sK2_SY12 )
| ( sK3_SY23 != sK4_SY33 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(39,plain,
( ( ( ( sK9_SY68 = sK12_SY77 )
| ( sK3_SY23 != sK4_SY33 )
| ( sK5_SY42 != sK6_SY50 )
| ( sK5_SY42 != sK3_SY23 ) )
= $true )
| ( ( sK7_SY57 = sK10_SY72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(40,plain,
( ( ( ( sK9_SY68 != sK10_SY72 )
| ( sK11_SY75 != sK12_SY77 )
| ( sK5_SY42 != sK8_SY63 ) )
= $true )
| ( ( ( sK1_ACRES != sK4_SY33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(41,plain,
( ( ( ( sK3_SY23 = sK6_SY50 )
| ( sK1_ACRES != sK2_SY12 )
| ( sK7_SY57 != sK8_SY63 ) )
= $true )
| ( ( sK9_SY68 = sK12_SY77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(42,plain,
( ( ( ( sK1_ACRES = sK4_SY33 )
| ( sK5_SY42 != sK6_SY50 )
| ( sK7_SY57 != sK8_SY63 )
| ( sK7_SY57 != sK5_SY42 ) )
= $true )
| ( ( ( sK9_SY68 != sK12_SY77 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(43,plain,
( ( ( ( sK1_ACRES != sK2_SY12 )
| ( sK11_SY75 != sK12_SY77 )
| ( sK3_SY23 != sK6_SY50 ) )
= $true )
| ( ( ( sK7_SY57 != sK10_SY72 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(44,plain,
( ( ( ( sK1_ACRES != sK2_SY12 )
| ( sK3_SY23 != sK4_SY33 )
| ( sK9_SY68 != sK12_SY77 ) )
= $true )
| ( ( sK5_SY42 = sK8_SY63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(45,plain,
( ( ( sK11_SY75 != sK12_SY77 )
| ~ ~ ( ( sK9_SY68 != sK10_SY72 )
| ~ ~ ( ( sK7_SY57 != sK8_SY63 )
| ~ ~ ( ( sK5_SY42 != sK6_SY50 )
| ~ ~ ( ( sK1_ACRES != sK2_SY12 )
| ( sK3_SY23 != sK4_SY33 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(46,plain,
( ( ( sK9_SY68 = sK12_SY77 )
= $true )
| ( ( ( sK3_SY23 != sK4_SY33 )
| ( sK5_SY42 != sK6_SY50 )
| ( sK5_SY42 != sK3_SY23 ) )
= $true )
| ( ( sK7_SY57 = sK10_SY72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(47,plain,
( ( ( ( sK9_SY68 != sK10_SY72 )
| ( sK11_SY75 != sK12_SY77 ) )
= $true )
| ( ( ( sK5_SY42 != sK8_SY63 ) )
= $true )
| ( ( ( sK1_ACRES != sK4_SY33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(48,plain,
( ( ( sK3_SY23 = sK6_SY50 )
= $true )
| ( ( ( sK1_ACRES != sK2_SY12 )
| ( sK7_SY57 != sK8_SY63 ) )
= $true )
| ( ( sK9_SY68 = sK12_SY77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(49,plain,
( ( ( sK1_ACRES = sK4_SY33 )
= $true )
| ( ( ( sK5_SY42 != sK6_SY50 )
| ( sK7_SY57 != sK8_SY63 )
| ( sK7_SY57 != sK5_SY42 ) )
= $true )
| ( ( ( sK9_SY68 != sK12_SY77 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(50,plain,
( ( ( ( sK1_ACRES != sK2_SY12 )
| ( sK11_SY75 != sK12_SY77 ) )
= $true )
| ( ( ( sK3_SY23 != sK6_SY50 ) )
= $true )
| ( ( ( sK7_SY57 != sK10_SY72 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(51,plain,
( ( ( ( sK1_ACRES != sK2_SY12 )
| ( sK3_SY23 != sK4_SY33 ) )
= $true )
| ( ( ( sK9_SY68 != sK12_SY77 ) )
= $true )
| ( ( sK5_SY42 = sK8_SY63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(52,plain,
( ( ( sK11_SY75 != sK12_SY77 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(53,plain,
( ( ~ ~ ( ( sK9_SY68 != sK10_SY72 )
| ~ ~ ( ( sK7_SY57 != sK8_SY63 )
| ~ ~ ( ( sK5_SY42 != sK6_SY50 )
| ~ ~ ( ( sK1_ACRES != sK2_SY12 )
| ( sK3_SY23 != sK4_SY33 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(54,plain,
( ( ( ( sK3_SY23 != sK4_SY33 )
| ( sK5_SY42 != sK6_SY50 ) )
= $true )
| ( ( ( sK5_SY42 != sK3_SY23 ) )
= $true )
| ( ( sK9_SY68 = sK12_SY77 )
= $true )
| ( ( sK7_SY57 = sK10_SY72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(55,plain,
( ( ( ( sK9_SY68 != sK10_SY72 ) )
= $true )
| ( ( ( sK11_SY75 != sK12_SY77 ) )
= $true )
| ( ( ( sK5_SY42 != sK8_SY63 ) )
= $true )
| ( ( ( sK1_ACRES != sK4_SY33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(56,plain,
( ( ( ( sK1_ACRES != sK2_SY12 ) )
= $true )
| ( ( ( sK7_SY57 != sK8_SY63 ) )
= $true )
| ( ( sK3_SY23 = sK6_SY50 )
= $true )
| ( ( sK9_SY68 = sK12_SY77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(57,plain,
( ( ( ( sK5_SY42 != sK6_SY50 )
| ( sK7_SY57 != sK8_SY63 ) )
= $true )
| ( ( ( sK7_SY57 != sK5_SY42 ) )
= $true )
| ( ( sK1_ACRES = sK4_SY33 )
= $true )
| ( ( ( sK9_SY68 != sK12_SY77 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(58,plain,
( ( ( ( sK1_ACRES != sK2_SY12 ) )
= $true )
| ( ( ( sK11_SY75 != sK12_SY77 ) )
= $true )
| ( ( ( sK3_SY23 != sK6_SY50 ) )
= $true )
| ( ( ( sK7_SY57 != sK10_SY72 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(59,plain,
( ( ( ( sK1_ACRES != sK2_SY12 ) )
= $true )
| ( ( ( sK3_SY23 != sK4_SY33 ) )
= $true )
| ( ( ( sK9_SY68 != sK12_SY77 ) )
= $true )
| ( ( sK5_SY42 = sK8_SY63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(60,plain,
( ( sK11_SY75 = sK12_SY77 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(61,plain,
( ( ~ ( ( sK9_SY68 != sK10_SY72 )
| ~ ~ ( ( sK7_SY57 != sK8_SY63 )
| ~ ~ ( ( sK5_SY42 != sK6_SY50 )
| ~ ~ ( ( sK1_ACRES != sK2_SY12 )
| ( sK3_SY23 != sK4_SY33 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(62,plain,
( ( ( ( sK3_SY23 != sK4_SY33 ) )
= $true )
| ( ( ( sK5_SY42 != sK6_SY50 ) )
= $true )
| ( ( ( sK5_SY42 != sK3_SY23 ) )
= $true )
| ( ( sK9_SY68 = sK12_SY77 )
= $true )
| ( ( sK7_SY57 = sK10_SY72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(63,plain,
( ( ( sK9_SY68 = sK10_SY72 )
= $false )
| ( ( ( sK11_SY75 != sK12_SY77 ) )
= $true )
| ( ( ( sK5_SY42 != sK8_SY63 ) )
= $true )
| ( ( ( sK1_ACRES != sK4_SY33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(64,plain,
( ( ( sK1_ACRES = sK2_SY12 )
= $false )
| ( ( ( sK7_SY57 != sK8_SY63 ) )
= $true )
| ( ( sK3_SY23 = sK6_SY50 )
= $true )
| ( ( sK9_SY68 = sK12_SY77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(65,plain,
( ( ( ( sK5_SY42 != sK6_SY50 ) )
= $true )
| ( ( ( sK7_SY57 != sK8_SY63 ) )
= $true )
| ( ( ( sK7_SY57 != sK5_SY42 ) )
= $true )
| ( ( sK1_ACRES = sK4_SY33 )
= $true )
| ( ( ( sK9_SY68 != sK12_SY77 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(66,plain,
( ( ( sK1_ACRES = sK2_SY12 )
= $false )
| ( ( ( sK11_SY75 != sK12_SY77 ) )
= $true )
| ( ( ( sK3_SY23 != sK6_SY50 ) )
= $true )
| ( ( ( sK7_SY57 != sK10_SY72 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(67,plain,
( ( ( sK1_ACRES = sK2_SY12 )
= $false )
| ( ( ( sK3_SY23 != sK4_SY33 ) )
= $true )
| ( ( ( sK9_SY68 != sK12_SY77 ) )
= $true )
| ( ( sK5_SY42 = sK8_SY63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(68,plain,
( ( ( sK9_SY68 != sK10_SY72 )
| ~ ~ ( ( sK7_SY57 != sK8_SY63 )
| ~ ~ ( ( sK5_SY42 != sK6_SY50 )
| ~ ~ ( ( sK1_ACRES != sK2_SY12 )
| ( sK3_SY23 != sK4_SY33 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(69,plain,
( ( ( sK3_SY23 = sK4_SY33 )
= $false )
| ( ( ( sK5_SY42 != sK6_SY50 ) )
= $true )
| ( ( ( sK5_SY42 != sK3_SY23 ) )
= $true )
| ( ( sK9_SY68 = sK12_SY77 )
= $true )
| ( ( sK7_SY57 = sK10_SY72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(70,plain,
( ( ( sK11_SY75 = sK12_SY77 )
= $false )
| ( ( sK9_SY68 = sK10_SY72 )
= $false )
| ( ( ( sK5_SY42 != sK8_SY63 ) )
= $true )
| ( ( ( sK1_ACRES != sK4_SY33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(71,plain,
( ( ( sK7_SY57 = sK8_SY63 )
= $false )
| ( ( sK1_ACRES = sK2_SY12 )
= $false )
| ( ( sK3_SY23 = sK6_SY50 )
= $true )
| ( ( sK9_SY68 = sK12_SY77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(72,plain,
( ( ( sK5_SY42 = sK6_SY50 )
= $false )
| ( ( ( sK7_SY57 != sK8_SY63 ) )
= $true )
| ( ( ( sK7_SY57 != sK5_SY42 ) )
= $true )
| ( ( sK1_ACRES = sK4_SY33 )
= $true )
| ( ( ( sK9_SY68 != sK12_SY77 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(73,plain,
( ( ( sK11_SY75 = sK12_SY77 )
= $false )
| ( ( sK1_ACRES = sK2_SY12 )
= $false )
| ( ( ( sK3_SY23 != sK6_SY50 ) )
= $true )
| ( ( ( sK7_SY57 != sK10_SY72 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(74,plain,
( ( ( sK3_SY23 = sK4_SY33 )
= $false )
| ( ( sK1_ACRES = sK2_SY12 )
= $false )
| ( ( ( sK9_SY68 != sK12_SY77 ) )
= $true )
| ( ( sK5_SY42 = sK8_SY63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(75,plain,
( ( ( sK9_SY68 != sK10_SY72 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(76,plain,
( ( ~ ~ ( ( sK7_SY57 != sK8_SY63 )
| ~ ~ ( ( sK5_SY42 != sK6_SY50 )
| ~ ~ ( ( sK1_ACRES != sK2_SY12 )
| ( sK3_SY23 != sK4_SY33 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(77,plain,
( ( ( sK5_SY42 = sK6_SY50 )
= $false )
| ( ( sK3_SY23 = sK4_SY33 )
= $false )
| ( ( ( sK5_SY42 != sK3_SY23 ) )
= $true )
| ( ( sK9_SY68 = sK12_SY77 )
= $true )
| ( ( sK7_SY57 = sK10_SY72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(78,plain,
( ( ( sK5_SY42 = sK8_SY63 )
= $false )
| ( ( sK9_SY68 = sK10_SY72 )
= $false )
| ( ( sK11_SY75 = sK12_SY77 )
= $false )
| ( ( ( sK1_ACRES != sK4_SY33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(79,plain,
( ( ( sK7_SY57 = sK8_SY63 )
= $false )
| ( ( sK5_SY42 = sK6_SY50 )
= $false )
| ( ( ( sK7_SY57 != sK5_SY42 ) )
= $true )
| ( ( sK1_ACRES = sK4_SY33 )
= $true )
| ( ( ( sK9_SY68 != sK12_SY77 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(80,plain,
( ( ( sK3_SY23 = sK6_SY50 )
= $false )
| ( ( sK1_ACRES = sK2_SY12 )
= $false )
| ( ( sK11_SY75 = sK12_SY77 )
= $false )
| ( ( ( sK7_SY57 != sK10_SY72 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(81,plain,
( ( ( sK9_SY68 = sK12_SY77 )
= $false )
| ( ( sK1_ACRES = sK2_SY12 )
= $false )
| ( ( sK3_SY23 = sK4_SY33 )
= $false )
| ( ( sK5_SY42 = sK8_SY63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(82,plain,
( ( sK9_SY68 = sK10_SY72 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(83,plain,
( ( ~ ( ( sK7_SY57 != sK8_SY63 )
| ~ ~ ( ( sK5_SY42 != sK6_SY50 )
| ~ ~ ( ( sK1_ACRES != sK2_SY12 )
| ( sK3_SY23 != sK4_SY33 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(84,plain,
( ( ( sK5_SY42 = sK3_SY23 )
= $false )
| ( ( sK3_SY23 = sK4_SY33 )
= $false )
| ( ( sK5_SY42 = sK6_SY50 )
= $false )
| ( ( sK9_SY68 = sK12_SY77 )
= $true )
| ( ( sK7_SY57 = sK10_SY72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(85,plain,
( ( ( sK1_ACRES = sK4_SY33 )
= $false )
| ( ( sK11_SY75 = sK12_SY77 )
= $false )
| ( ( sK9_SY68 = sK10_SY72 )
= $false )
| ( ( sK5_SY42 = sK8_SY63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(86,plain,
( ( ( sK7_SY57 = sK5_SY42 )
= $false )
| ( ( sK5_SY42 = sK6_SY50 )
= $false )
| ( ( sK7_SY57 = sK8_SY63 )
= $false )
| ( ( sK1_ACRES = sK4_SY33 )
= $true )
| ( ( ( sK9_SY68 != sK12_SY77 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(87,plain,
( ( ( sK7_SY57 = sK10_SY72 )
= $false )
| ( ( sK11_SY75 = sK12_SY77 )
= $false )
| ( ( sK1_ACRES = sK2_SY12 )
= $false )
| ( ( sK3_SY23 = sK6_SY50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(88,plain,
( ( ( sK7_SY57 != sK8_SY63 )
| ~ ~ ( ( sK5_SY42 != sK6_SY50 )
| ~ ~ ( ( sK1_ACRES != sK2_SY12 )
| ( sK3_SY23 != sK4_SY33 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(89,plain,
( ( ( sK9_SY68 = sK12_SY77 )
= $false )
| ( ( sK1_ACRES = sK4_SY33 )
= $true )
| ( ( sK7_SY57 = sK8_SY63 )
= $false )
| ( ( sK5_SY42 = sK6_SY50 )
= $false )
| ( ( sK7_SY57 = sK5_SY42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(90,plain,
( ( ( sK7_SY57 != sK8_SY63 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(91,plain,
( ( ~ ~ ( ( sK5_SY42 != sK6_SY50 )
| ~ ~ ( ( sK1_ACRES != sK2_SY12 )
| ( sK3_SY23 != sK4_SY33 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(92,plain,
( ( sK7_SY57 = sK8_SY63 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(93,plain,
( ( ~ ( ( sK5_SY42 != sK6_SY50 )
| ~ ~ ( ( sK1_ACRES != sK2_SY12 )
| ( sK3_SY23 != sK4_SY33 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(94,plain,
( ( ( sK5_SY42 != sK6_SY50 )
| ~ ~ ( ( sK1_ACRES != sK2_SY12 )
| ( sK3_SY23 != sK4_SY33 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(95,plain,
( ( ( sK5_SY42 != sK6_SY50 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(96,plain,
( ( ~ ~ ( ( sK1_ACRES != sK2_SY12 )
| ( sK3_SY23 != sK4_SY33 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(97,plain,
( ( sK5_SY42 = sK6_SY50 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(98,plain,
( ( ~ ( ( sK1_ACRES != sK2_SY12 )
| ( sK3_SY23 != sK4_SY33 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(99,plain,
( ( ( sK1_ACRES != sK2_SY12 )
| ( sK3_SY23 != sK4_SY33 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(100,plain,
( ( ( sK1_ACRES != sK2_SY12 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(101,plain,
( ( ( sK3_SY23 != sK4_SY33 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(102,plain,
( ( sK1_ACRES = sK2_SY12 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(103,plain,
( ( sK3_SY23 = sK4_SY33 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(104,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[60,103,102,97,92,89,87,85,84,82,81,71]) ).
thf(105,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ092^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat May 28 21:59:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.38
% 0.13/0.38 No.of.Axioms: 0
% 0.13/0.38
% 0.13/0.38 Length.of.Defs: 0
% 0.13/0.38
% 0.13/0.38 Contains.Choice.Funs: false
% 0.20/0.43 (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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full).....
% 0.20/0.55
% 0.20/0.55 ********************************
% 0.20/0.55 * All subproblems solved! *
% 0.20/0.55 ********************************
% 0.20/0.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:6,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:104,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.55
% 0.20/0.55 %**** Beginning of derivation protocol ****
% 0.20/0.55 % SZS output start CNFRefutation
% See solution above
% 0.20/0.55
% 0.20/0.55 %**** End of derivation protocol ****
% 0.20/0.55 %**** no. of clauses in derivation: 105 ****
% 0.20/0.55 %**** clause counter: 104 ****
% 0.20/0.55
% 0.20/0.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:6,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:104,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------