TSTP Solution File: SEV196^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV196^5 : 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 : n008.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 : Tue Jul 19 17:35:37 EDT 2022
% Result : Theorem 0.18s 0.44s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 7
% Syntax : Number of formulae : 63 ( 32 unt; 6 typ; 0 def)
% Number of atoms : 530 ( 289 equ; 0 cnn)
% Maximal formula atoms : 8 ( 9 avg)
% Number of connectives : 1072 ( 199 ~; 208 |; 38 &; 618 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 5 con; 0-3 aty)
% Number of variables : 356 ( 0 ^ 326 !; 30 ?; 356 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_c0,type,
c0: a ).
thf(tp_cP,type,
cP: a > a > a ).
thf(tp_sK1_R,type,
sK1_R: a > a > a > $o ).
thf(tp_x,type,
x: a ).
thf(tp_y,type,
y: a ).
thf(1,conjecture,
! [R: a > a > a > $o] :
( ( $true
& ! [Xa: a,Xb: a,Xc: a] :
( ( ( ( Xa = c0 )
& ( Xb = Xc ) )
| ( ( Xb = c0 )
& ( Xa = Xc ) )
| ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
( ( Xa
= ( cP @ Xx1 @ Xx2 ) )
& ( Xb
= ( cP @ Xy1 @ Xy2 ) )
& ( Xc
= ( cP @ Xz1 @ Xz2 ) )
& ( R @ Xx1 @ Xy1 @ Xz1 )
& ( R @ Xx2 @ Xy2 @ Xz2 ) ) )
=> ( R @ Xa @ Xb @ Xc ) ) )
=> ( R @ ( cP @ x @ c0 ) @ ( cP @ c0 @ y ) @ ( cP @ x @ y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cS_JOIN_LEM2_pme) ).
thf(2,negated_conjecture,
( ( ! [R: a > a > a > $o] :
( ( $true
& ! [Xa: a,Xb: a,Xc: a] :
( ( ( ( Xa = c0 )
& ( Xb = Xc ) )
| ( ( Xb = c0 )
& ( Xa = Xc ) )
| ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
( ( Xa
= ( cP @ Xx1 @ Xx2 ) )
& ( Xb
= ( cP @ Xy1 @ Xy2 ) )
& ( Xc
= ( cP @ Xz1 @ Xz2 ) )
& ( R @ Xx1 @ Xy1 @ Xz1 )
& ( R @ Xx2 @ Xy2 @ Xz2 ) ) )
=> ( R @ Xa @ Xb @ Xc ) ) )
=> ( R @ ( cP @ x @ c0 ) @ ( cP @ c0 @ y ) @ ( cP @ x @ y ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [R: a > a > a > $o] :
( ( $true
& ! [Xa: a,Xb: a,Xc: a] :
( ( ( ( Xa = c0 )
& ( Xb = Xc ) )
| ( ( Xb = c0 )
& ( Xa = Xc ) )
| ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
( ( Xa
= ( cP @ Xx1 @ Xx2 ) )
& ( Xb
= ( cP @ Xy1 @ Xy2 ) )
& ( Xc
= ( cP @ Xz1 @ Xz2 ) )
& ( R @ Xx1 @ Xy1 @ Xz1 )
& ( R @ Xx2 @ Xy2 @ Xz2 ) ) )
=> ( R @ Xa @ Xb @ Xc ) ) )
=> ( R @ ( cP @ x @ c0 ) @ ( cP @ c0 @ y ) @ ( cP @ x @ y ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ( $true
& ! [SY10: a,SY11: a,SY12: a] :
( ( ( ( SY10 = c0 )
& ( SY11 = SY12 ) )
| ( ( SY11 = c0 )
& ( SY10 = SY12 ) )
| ? [SY13: a,SY14: a,SY15: a,SY16: a,SY17: a,SY18: a] :
( ( SY10
= ( cP @ SY13 @ SY14 ) )
& ( SY11
= ( cP @ SY15 @ SY16 ) )
& ( SY12
= ( cP @ SY17 @ SY18 ) )
& ( sK1_R @ SY13 @ SY15 @ SY17 )
& ( sK1_R @ SY14 @ SY16 @ SY18 ) ) )
=> ( sK1_R @ SY10 @ SY11 @ SY12 ) ) )
=> ( sK1_R @ ( cP @ x @ c0 ) @ ( cP @ c0 @ y ) @ ( cP @ x @ y ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
$true = $true,
inference(standard_cnf,[status(thm)],[4]) ).
thf(6,plain,
( ( ! [SY10: a,SY11: a,SY12: a] :
( ( ( ( SY10 = c0 )
& ( SY11 = SY12 ) )
| ( ( SY11 = c0 )
& ( SY10 = SY12 ) )
| ? [SY13: a,SY14: a,SY15: a,SY16: a,SY17: a,SY18: a] :
( ( SY10
= ( cP @ SY13 @ SY14 ) )
& ( SY11
= ( cP @ SY15 @ SY16 ) )
& ( SY12
= ( cP @ SY17 @ SY18 ) )
& ( sK1_R @ SY13 @ SY15 @ SY17 )
& ( sK1_R @ SY14 @ SY16 @ SY18 ) ) )
=> ( sK1_R @ SY10 @ SY11 @ SY12 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(7,plain,
( ( sK1_R @ ( cP @ x @ c0 ) @ ( cP @ c0 @ y ) @ ( cP @ x @ y ) )
= $false ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(8,plain,
( ( ~ ( sK1_R @ ( cP @ x @ c0 ) @ ( cP @ c0 @ y ) @ ( cP @ x @ y ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [SY10: a] :
( ! [SY11: a,SY12: a] :
( ! [SY13: a,SY14: a,SY15: a,SY16: a,SY17: a,SY18: a] :
( ( SY10
!= ( cP @ SY13 @ SY14 ) )
| ( SY11
!= ( cP @ SY15 @ SY16 ) )
| ( SY12
!= ( cP @ SY17 @ SY18 ) )
| ~ ( sK1_R @ SY13 @ SY15 @ SY17 )
| ~ ( sK1_R @ SY14 @ SY16 @ SY18 ) )
| ( sK1_R @ SY10 @ SY11 @ SY12 ) )
& ! [SY11: a,SY12: a] :
( ( SY10 != c0 )
| ( SY11 != SY12 )
| ( sK1_R @ SY10 @ SY11 @ SY12 ) )
& ! [SY11: a,SY12: a] :
( ( SY11 != c0 )
| ( SY10 != SY12 )
| ( sK1_R @ SY10 @ SY11 @ SY12 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(10,plain,
( ( ! [SY10: a] :
( ! [SY11: a,SY12: a] :
( ! [SY13: a,SY14: a,SY15: a,SY16: a,SY17: a,SY18: a] :
( ( SY10
!= ( cP @ SY13 @ SY14 ) )
| ( SY11
!= ( cP @ SY15 @ SY16 ) )
| ( SY12
!= ( cP @ SY17 @ SY18 ) )
| ~ ( sK1_R @ SY13 @ SY15 @ SY17 )
| ~ ( sK1_R @ SY14 @ SY16 @ SY18 ) )
| ( sK1_R @ SY10 @ SY11 @ SY12 ) )
& ! [SY11: a,SY12: a] :
( ( SY10 != c0 )
| ( SY11 != SY12 )
| ( sK1_R @ SY10 @ SY11 @ SY12 ) )
& ! [SY11: a,SY12: a] :
( ( SY11 != c0 )
| ( SY10 != SY12 )
| ( sK1_R @ SY10 @ SY11 @ SY12 ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(11,plain,
$true = $true,
inference(copy,[status(thm)],[5]) ).
thf(12,plain,
( ( ~ ( sK1_R @ ( cP @ x @ c0 ) @ ( cP @ c0 @ y ) @ ( cP @ x @ y ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(13,plain,
( ( ! [SX0: a] :
~ ( ~ ! [SX1: a,SX2: a] :
( ! [SX3: a,SX4: a,SX5: a,SX6: a,SX7: a,SX8: a] :
( ( SX0
!= ( cP @ SX3 @ SX4 ) )
| ( SX1
!= ( cP @ SX5 @ SX6 ) )
| ( SX2
!= ( cP @ SX7 @ SX8 ) )
| ~ ( sK1_R @ SX3 @ SX5 @ SX7 )
| ~ ( sK1_R @ SX4 @ SX6 @ SX8 ) )
| ( sK1_R @ SX0 @ SX1 @ SX2 ) )
| ~ ~ ( ~ ! [SX1: a,SX2: a] :
( ( SX0 != c0 )
| ( SX1 != SX2 )
| ( sK1_R @ SX0 @ SX1 @ SX2 ) )
| ~ ! [SX1: a,SX2: a] :
( ( SX1 != c0 )
| ( SX0 != SX2 )
| ( sK1_R @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(14,plain,
( ( sK1_R @ ( cP @ x @ c0 ) @ ( cP @ c0 @ y ) @ ( cP @ x @ y ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(15,plain,
! [SV1: a] :
( ( ~ ( ~ ! [SY19: a,SY20: a] :
( ! [SY21: a,SY22: a,SY23: a,SY24: a,SY25: a,SY26: a] :
( ( SV1
!= ( cP @ SY21 @ SY22 ) )
| ( SY19
!= ( cP @ SY23 @ SY24 ) )
| ( SY20
!= ( cP @ SY25 @ SY26 ) )
| ~ ( sK1_R @ SY21 @ SY23 @ SY25 )
| ~ ( sK1_R @ SY22 @ SY24 @ SY26 ) )
| ( sK1_R @ SV1 @ SY19 @ SY20 ) )
| ~ ~ ( ~ ! [SY27: a,SY28: a] :
( ( SV1 != c0 )
| ( SY27 != SY28 )
| ( sK1_R @ SV1 @ SY27 @ SY28 ) )
| ~ ! [SY29: a,SY30: a] :
( ( SY29 != c0 )
| ( SV1 != SY30 )
| ( sK1_R @ SV1 @ SY29 @ SY30 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(16,plain,
! [SV1: a] :
( ( ~ ! [SY19: a,SY20: a] :
( ! [SY21: a,SY22: a,SY23: a,SY24: a,SY25: a,SY26: a] :
( ( SV1
!= ( cP @ SY21 @ SY22 ) )
| ( SY19
!= ( cP @ SY23 @ SY24 ) )
| ( SY20
!= ( cP @ SY25 @ SY26 ) )
| ~ ( sK1_R @ SY21 @ SY23 @ SY25 )
| ~ ( sK1_R @ SY22 @ SY24 @ SY26 ) )
| ( sK1_R @ SV1 @ SY19 @ SY20 ) )
| ~ ~ ( ~ ! [SY27: a,SY28: a] :
( ( SV1 != c0 )
| ( SY27 != SY28 )
| ( sK1_R @ SV1 @ SY27 @ SY28 ) )
| ~ ! [SY29: a,SY30: a] :
( ( SY29 != c0 )
| ( SV1 != SY30 )
| ( sK1_R @ SV1 @ SY29 @ SY30 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(17,plain,
! [SV1: a] :
( ( ~ ! [SY19: a,SY20: a] :
( ! [SY21: a,SY22: a,SY23: a,SY24: a,SY25: a,SY26: a] :
( ( SV1
!= ( cP @ SY21 @ SY22 ) )
| ( SY19
!= ( cP @ SY23 @ SY24 ) )
| ( SY20
!= ( cP @ SY25 @ SY26 ) )
| ~ ( sK1_R @ SY21 @ SY23 @ SY25 )
| ~ ( sK1_R @ SY22 @ SY24 @ SY26 ) )
| ( sK1_R @ SV1 @ SY19 @ SY20 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(18,plain,
! [SV1: a] :
( ( ~ ~ ( ~ ! [SY27: a,SY28: a] :
( ( SV1 != c0 )
| ( SY27 != SY28 )
| ( sK1_R @ SV1 @ SY27 @ SY28 ) )
| ~ ! [SY29: a,SY30: a] :
( ( SY29 != c0 )
| ( SV1 != SY30 )
| ( sK1_R @ SV1 @ SY29 @ SY30 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(19,plain,
! [SV1: a] :
( ( ! [SY19: a,SY20: a] :
( ! [SY21: a,SY22: a,SY23: a,SY24: a,SY25: a,SY26: a] :
( ( SV1
!= ( cP @ SY21 @ SY22 ) )
| ( SY19
!= ( cP @ SY23 @ SY24 ) )
| ( SY20
!= ( cP @ SY25 @ SY26 ) )
| ~ ( sK1_R @ SY21 @ SY23 @ SY25 )
| ~ ( sK1_R @ SY22 @ SY24 @ SY26 ) )
| ( sK1_R @ SV1 @ SY19 @ SY20 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(20,plain,
! [SV1: a] :
( ( ~ ( ~ ! [SY27: a,SY28: a] :
( ( SV1 != c0 )
| ( SY27 != SY28 )
| ( sK1_R @ SV1 @ SY27 @ SY28 ) )
| ~ ! [SY29: a,SY30: a] :
( ( SY29 != c0 )
| ( SV1 != SY30 )
| ( sK1_R @ SV1 @ SY29 @ SY30 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(21,plain,
! [SV2: a,SV1: a] :
( ( ! [SY31: a] :
( ! [SY32: a,SY33: a,SY34: a,SY35: a,SY36: a,SY37: a] :
( ( SV1
!= ( cP @ SY32 @ SY33 ) )
| ( SV2
!= ( cP @ SY34 @ SY35 ) )
| ( SY31
!= ( cP @ SY36 @ SY37 ) )
| ~ ( sK1_R @ SY32 @ SY34 @ SY36 )
| ~ ( sK1_R @ SY33 @ SY35 @ SY37 ) )
| ( sK1_R @ SV1 @ SV2 @ SY31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(22,plain,
! [SV1: a] :
( ( ~ ! [SY27: a,SY28: a] :
( ( SV1 != c0 )
| ( SY27 != SY28 )
| ( sK1_R @ SV1 @ SY27 @ SY28 ) )
| ~ ! [SY29: a,SY30: a] :
( ( SY29 != c0 )
| ( SV1 != SY30 )
| ( sK1_R @ SV1 @ SY29 @ SY30 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(23,plain,
! [SV3: a,SV2: a,SV1: a] :
( ( ! [SY38: a,SY39: a,SY40: a,SY41: a,SY42: a,SY43: a] :
( ( SV1
!= ( cP @ SY38 @ SY39 ) )
| ( SV2
!= ( cP @ SY40 @ SY41 ) )
| ( SV3
!= ( cP @ SY42 @ SY43 ) )
| ~ ( sK1_R @ SY38 @ SY40 @ SY42 )
| ~ ( sK1_R @ SY39 @ SY41 @ SY43 ) )
| ( sK1_R @ SV1 @ SV2 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(24,plain,
! [SV1: a] :
( ( ~ ! [SY27: a,SY28: a] :
( ( SV1 != c0 )
| ( SY27 != SY28 )
| ( sK1_R @ SV1 @ SY27 @ SY28 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(25,plain,
! [SV1: a] :
( ( ~ ! [SY29: a,SY30: a] :
( ( SY29 != c0 )
| ( SV1 != SY30 )
| ( sK1_R @ SV1 @ SY29 @ SY30 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(26,plain,
! [SV3: a,SV2: a,SV1: a] :
( ( ( ! [SY38: a,SY39: a,SY40: a,SY41: a,SY42: a,SY43: a] :
( ( SV1
!= ( cP @ SY38 @ SY39 ) )
| ( SV2
!= ( cP @ SY40 @ SY41 ) )
| ( SV3
!= ( cP @ SY42 @ SY43 ) )
| ~ ( sK1_R @ SY38 @ SY40 @ SY42 )
| ~ ( sK1_R @ SY39 @ SY41 @ SY43 ) ) )
= $true )
| ( ( sK1_R @ SV1 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(27,plain,
! [SV1: a] :
( ( ! [SY27: a,SY28: a] :
( ( SV1 != c0 )
| ( SY27 != SY28 )
| ( sK1_R @ SV1 @ SY27 @ SY28 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(28,plain,
! [SV1: a] :
( ( ! [SY29: a,SY30: a] :
( ( SY29 != c0 )
| ( SV1 != SY30 )
| ( sK1_R @ SV1 @ SY29 @ SY30 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(29,plain,
! [SV3: a,SV2: a,SV4: a,SV1: a] :
( ( ( ! [SY44: a,SY45: a,SY46: a,SY47: a,SY48: a] :
( ( SV1
!= ( cP @ SV4 @ SY44 ) )
| ( SV2
!= ( cP @ SY45 @ SY46 ) )
| ( SV3
!= ( cP @ SY47 @ SY48 ) )
| ~ ( sK1_R @ SV4 @ SY45 @ SY47 )
| ~ ( sK1_R @ SY44 @ SY46 @ SY48 ) ) )
= $true )
| ( ( sK1_R @ SV1 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(30,plain,
! [SV5: a,SV1: a] :
( ( ! [SY49: a] :
( ( SV1 != c0 )
| ( SV5 != SY49 )
| ( sK1_R @ SV1 @ SV5 @ SY49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(31,plain,
! [SV1: a,SV6: a] :
( ( ! [SY50: a] :
( ( SV6 != c0 )
| ( SV1 != SY50 )
| ( sK1_R @ SV1 @ SV6 @ SY50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(32,plain,
! [SV3: a,SV2: a,SV7: a,SV4: a,SV1: a] :
( ( ( ! [SY51: a,SY52: a,SY53: a,SY54: a] :
( ( SV1
!= ( cP @ SV4 @ SV7 ) )
| ( SV2
!= ( cP @ SY51 @ SY52 ) )
| ( SV3
!= ( cP @ SY53 @ SY54 ) )
| ~ ( sK1_R @ SV4 @ SY51 @ SY53 )
| ~ ( sK1_R @ SV7 @ SY52 @ SY54 ) ) )
= $true )
| ( ( sK1_R @ SV1 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(33,plain,
! [SV8: a,SV5: a,SV1: a] :
( ( ( SV1 != c0 )
| ( SV5 != SV8 )
| ( sK1_R @ SV1 @ SV5 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(34,plain,
! [SV9: a,SV1: a,SV6: a] :
( ( ( SV6 != c0 )
| ( SV1 != SV9 )
| ( sK1_R @ SV1 @ SV6 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(35,plain,
! [SV3: a,SV10: a,SV2: a,SV7: a,SV4: a,SV1: a] :
( ( ( ! [SY55: a,SY56: a,SY57: a] :
( ( SV1
!= ( cP @ SV4 @ SV7 ) )
| ( SV2
!= ( cP @ SV10 @ SY55 ) )
| ( SV3
!= ( cP @ SY56 @ SY57 ) )
| ~ ( sK1_R @ SV4 @ SV10 @ SY56 )
| ~ ( sK1_R @ SV7 @ SY55 @ SY57 ) ) )
= $true )
| ( ( sK1_R @ SV1 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(36,plain,
! [SV8: a,SV5: a,SV1: a] :
( ( ( ( SV1 != c0 )
| ( SV5 != SV8 ) )
= $true )
| ( ( sK1_R @ SV1 @ SV5 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(37,plain,
! [SV9: a,SV1: a,SV6: a] :
( ( ( ( SV6 != c0 )
| ( SV1 != SV9 ) )
= $true )
| ( ( sK1_R @ SV1 @ SV6 @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(38,plain,
! [SV3: a,SV11: a,SV10: a,SV2: a,SV7: a,SV4: a,SV1: a] :
( ( ( ! [SY58: a,SY59: a] :
( ( SV1
!= ( cP @ SV4 @ SV7 ) )
| ( SV2
!= ( cP @ SV10 @ SV11 ) )
| ( SV3
!= ( cP @ SY58 @ SY59 ) )
| ~ ( sK1_R @ SV4 @ SV10 @ SY58 )
| ~ ( sK1_R @ SV7 @ SV11 @ SY59 ) ) )
= $true )
| ( ( sK1_R @ SV1 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(39,plain,
! [SV8: a,SV5: a,SV1: a] :
( ( ( ( SV1 != c0 ) )
= $true )
| ( ( ( SV5 != SV8 ) )
= $true )
| ( ( sK1_R @ SV1 @ SV5 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(40,plain,
! [SV9: a,SV1: a,SV6: a] :
( ( ( ( SV6 != c0 ) )
= $true )
| ( ( ( SV1 != SV9 ) )
= $true )
| ( ( sK1_R @ SV1 @ SV6 @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(41,plain,
! [SV12: a,SV3: a,SV11: a,SV10: a,SV2: a,SV7: a,SV4: a,SV1: a] :
( ( ( ! [SY60: a] :
( ( SV1
!= ( cP @ SV4 @ SV7 ) )
| ( SV2
!= ( cP @ SV10 @ SV11 ) )
| ( SV3
!= ( cP @ SV12 @ SY60 ) )
| ~ ( sK1_R @ SV4 @ SV10 @ SV12 )
| ~ ( sK1_R @ SV7 @ SV11 @ SY60 ) ) )
= $true )
| ( ( sK1_R @ SV1 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(42,plain,
! [SV8: a,SV5: a,SV1: a] :
( ( ( SV1 = c0 )
= $false )
| ( ( ( SV5 != SV8 ) )
= $true )
| ( ( sK1_R @ SV1 @ SV5 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(43,plain,
! [SV9: a,SV1: a,SV6: a] :
( ( ( SV6 = c0 )
= $false )
| ( ( ( SV1 != SV9 ) )
= $true )
| ( ( sK1_R @ SV1 @ SV6 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(44,plain,
! [SV13: a,SV12: a,SV3: a,SV11: a,SV10: a,SV2: a,SV7: a,SV4: a,SV1: a] :
( ( ( ( SV1
!= ( cP @ SV4 @ SV7 ) )
| ( SV2
!= ( cP @ SV10 @ SV11 ) )
| ( SV3
!= ( cP @ SV12 @ SV13 ) )
| ~ ( sK1_R @ SV4 @ SV10 @ SV12 )
| ~ ( sK1_R @ SV7 @ SV11 @ SV13 ) )
= $true )
| ( ( sK1_R @ SV1 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(45,plain,
! [SV1: a,SV8: a,SV5: a] :
( ( ( SV5 = SV8 )
= $false )
| ( ( SV1 = c0 )
= $false )
| ( ( sK1_R @ SV1 @ SV5 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(46,plain,
! [SV6: a,SV9: a,SV1: a] :
( ( ( SV1 = SV9 )
= $false )
| ( ( SV6 = c0 )
= $false )
| ( ( sK1_R @ SV1 @ SV6 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(47,plain,
! [SV13: a,SV12: a,SV3: a,SV11: a,SV10: a,SV2: a,SV7: a,SV4: a,SV1: a] :
( ( ( ( SV1
!= ( cP @ SV4 @ SV7 ) )
| ( SV2
!= ( cP @ SV10 @ SV11 ) )
| ( SV3
!= ( cP @ SV12 @ SV13 ) )
| ~ ( sK1_R @ SV4 @ SV10 @ SV12 ) )
= $true )
| ( ( ~ ( sK1_R @ SV7 @ SV11 @ SV13 ) )
= $true )
| ( ( sK1_R @ SV1 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(48,plain,
! [SV13: a,SV12: a,SV3: a,SV11: a,SV10: a,SV2: a,SV7: a,SV4: a,SV1: a] :
( ( ( ( SV1
!= ( cP @ SV4 @ SV7 ) )
| ( SV2
!= ( cP @ SV10 @ SV11 ) )
| ( SV3
!= ( cP @ SV12 @ SV13 ) ) )
= $true )
| ( ( ~ ( sK1_R @ SV4 @ SV10 @ SV12 ) )
= $true )
| ( ( ~ ( sK1_R @ SV7 @ SV11 @ SV13 ) )
= $true )
| ( ( sK1_R @ SV1 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(49,plain,
! [SV13: a,SV12: a,SV3: a,SV11: a,SV10: a,SV2: a,SV7: a,SV4: a,SV1: a] :
( ( ( ( SV1
!= ( cP @ SV4 @ SV7 ) )
| ( SV2
!= ( cP @ SV10 @ SV11 ) ) )
= $true )
| ( ( ( SV3
!= ( cP @ SV12 @ SV13 ) ) )
= $true )
| ( ( ~ ( sK1_R @ SV4 @ SV10 @ SV12 ) )
= $true )
| ( ( ~ ( sK1_R @ SV7 @ SV11 @ SV13 ) )
= $true )
| ( ( sK1_R @ SV1 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(50,plain,
! [SV13: a,SV12: a,SV3: a,SV11: a,SV10: a,SV2: a,SV7: a,SV4: a,SV1: a] :
( ( ( ( SV1
!= ( cP @ SV4 @ SV7 ) ) )
= $true )
| ( ( ( SV2
!= ( cP @ SV10 @ SV11 ) ) )
= $true )
| ( ( ( SV3
!= ( cP @ SV12 @ SV13 ) ) )
= $true )
| ( ( ~ ( sK1_R @ SV4 @ SV10 @ SV12 ) )
= $true )
| ( ( ~ ( sK1_R @ SV7 @ SV11 @ SV13 ) )
= $true )
| ( ( sK1_R @ SV1 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(51,plain,
! [SV13: a,SV12: a,SV3: a,SV11: a,SV10: a,SV2: a,SV7: a,SV4: a,SV1: a] :
( ( ( SV1
= ( cP @ SV4 @ SV7 ) )
= $false )
| ( ( ( SV2
!= ( cP @ SV10 @ SV11 ) ) )
= $true )
| ( ( ( SV3
!= ( cP @ SV12 @ SV13 ) ) )
= $true )
| ( ( ~ ( sK1_R @ SV4 @ SV10 @ SV12 ) )
= $true )
| ( ( ~ ( sK1_R @ SV7 @ SV11 @ SV13 ) )
= $true )
| ( ( sK1_R @ SV1 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(52,plain,
! [SV13: a,SV12: a,SV3: a,SV7: a,SV4: a,SV1: a,SV11: a,SV10: a,SV2: a] :
( ( ( SV2
= ( cP @ SV10 @ SV11 ) )
= $false )
| ( ( SV1
= ( cP @ SV4 @ SV7 ) )
= $false )
| ( ( ( SV3
!= ( cP @ SV12 @ SV13 ) ) )
= $true )
| ( ( ~ ( sK1_R @ SV4 @ SV10 @ SV12 ) )
= $true )
| ( ( ~ ( sK1_R @ SV7 @ SV11 @ SV13 ) )
= $true )
| ( ( sK1_R @ SV1 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(53,plain,
! [SV11: a,SV10: a,SV2: a,SV7: a,SV4: a,SV1: a,SV13: a,SV12: a,SV3: a] :
( ( ( SV3
= ( cP @ SV12 @ SV13 ) )
= $false )
| ( ( SV1
= ( cP @ SV4 @ SV7 ) )
= $false )
| ( ( SV2
= ( cP @ SV10 @ SV11 ) )
= $false )
| ( ( ~ ( sK1_R @ SV4 @ SV10 @ SV12 ) )
= $true )
| ( ( ~ ( sK1_R @ SV7 @ SV11 @ SV13 ) )
= $true )
| ( ( sK1_R @ SV1 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(54,plain,
! [SV13: a,SV3: a,SV7: a,SV1: a,SV11: a,SV2: a,SV12: a,SV10: a,SV4: a] :
( ( ( sK1_R @ SV4 @ SV10 @ SV12 )
= $false )
| ( ( SV2
= ( cP @ SV10 @ SV11 ) )
= $false )
| ( ( SV1
= ( cP @ SV4 @ SV7 ) )
= $false )
| ( ( SV3
= ( cP @ SV12 @ SV13 ) )
= $false )
| ( ( ~ ( sK1_R @ SV7 @ SV11 @ SV13 ) )
= $true )
| ( ( sK1_R @ SV1 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(55,plain,
! [SV10: a,SV2: a,SV4: a,SV1: a,SV12: a,SV3: a,SV13: a,SV11: a,SV7: a] :
( ( ( sK1_R @ SV7 @ SV11 @ SV13 )
= $false )
| ( ( SV3
= ( cP @ SV12 @ SV13 ) )
= $false )
| ( ( SV1
= ( cP @ SV4 @ SV7 ) )
= $false )
| ( ( SV2
= ( cP @ SV10 @ SV11 ) )
= $false )
| ( ( sK1_R @ SV4 @ SV10 @ SV12 )
= $false )
| ( ( sK1_R @ SV1 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(56,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[11,55,46,45,14]) ).
thf(57,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV196^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n008.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 : Tue Jun 28 09:38:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 0
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 0
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.18/0.35 (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).....
% 0.18/0.44
% 0.18/0.44 ********************************
% 0.18/0.44 * All subproblems solved! *
% 0.18/0.44 ********************************
% 0.18/0.44 % SZS status Theorem for /export/starexec/sandbox2/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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:56,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.44
% 0.18/0.44 %**** Beginning of derivation protocol ****
% 0.18/0.44 % SZS output start CNFRefutation
% See solution above
% 0.18/0.44
% 0.18/0.44 %**** End of derivation protocol ****
% 0.18/0.44 %**** no. of clauses in derivation: 57 ****
% 0.18/0.44 %**** clause counter: 56 ****
% 0.18/0.44
% 0.18/0.44 % SZS status Theorem for /export/starexec/sandbox2/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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:56,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------