TSTP Solution File: LAT010-1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LAT010-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n014.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 05:43:58 EDT 2022
% Result : Unsatisfiable 20.54s 20.75s
% Output : CNFRefutation 20.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of formulae : 79 ( 73 unt; 6 typ; 0 def)
% Number of atoms : 191 ( 124 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 826 ( 6 ~; 0 |; 0 &; 820 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 6 con; 0-2 aty)
% Number of variables : 158 ( 0 ^ 158 !; 0 ?; 158 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $i ).
thf(tp_b,type,
b: $i ).
thf(tp_c,type,
c: $i ).
thf(tp_d,type,
d: $i ).
thf(tp_join,type,
join: $i > $i > $i ).
thf(tp_meet,type,
meet: $i > $i > $i ).
thf(1,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( join @ ( join @ X @ Y ) @ Z )
= ( join @ X @ ( join @ Y @ Z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).
thf(2,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( meet @ ( meet @ X @ Y ) @ Z )
= ( meet @ X @ ( meet @ Y @ Z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet) ).
thf(3,axiom,
! [X: $i,Y: $i] :
( ( join @ X @ Y )
= ( join @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).
thf(4,axiom,
! [X: $i,Y: $i] :
( ( meet @ X @ Y )
= ( meet @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
thf(5,axiom,
! [X: $i,Y: $i] :
( ( join @ X @ ( meet @ X @ Y ) )
= X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
thf(6,axiom,
! [X: $i,Y: $i] :
( ( meet @ X @ ( join @ X @ Y ) )
= X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
thf(7,axiom,
! [X: $i] :
( ( join @ X @ X )
= X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_join) ).
thf(8,axiom,
! [X: $i] :
( ( meet @ X @ X )
= X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_meet) ).
thf(9,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( meet @ ( join @ X @ ( meet @ Y @ Z ) ) @ ( join @ Z @ ( meet @ X @ Y ) ) )
= ( join @ ( meet @ Z @ ( join @ X @ ( meet @ Y @ Z ) ) ) @ ( meet @ X @ ( join @ Y @ Z ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nr_3) ).
thf(10,axiom,
! [X: $i,Y: $i,Z: $i,U: $i] :
( ( join @ X @ ( meet @ Y @ ( join @ Z @ ( meet @ X @ U ) ) ) )
= ( meet @ ( join @ X @ ( meet @ Y @ ( join @ X @ Z ) ) ) @ ( join @ X @ ( meet @ ( join @ X @ Y ) @ ( join @ Z @ U ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n5_2) ).
thf(11,axiom,
! [X: $i,Y: $i,Z: $i,U: $i] :
( ( meet @ X @ ( join @ Y @ ( meet @ Z @ ( join @ X @ U ) ) ) )
= ( join @ ( meet @ X @ ( join @ Y @ ( meet @ X @ Z ) ) ) @ ( meet @ X @ ( join @ ( meet @ X @ Y ) @ ( meet @ Z @ U ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n5_1) ).
thf(12,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(13,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[12]) ).
thf(14,negated_conjecture,
( meet @ a @ ( meet @ ( join @ b @ c ) @ ( join @ b @ d ) ) )
!= ( meet @ ( meet @ a @ ( meet @ ( join @ b @ c ) @ ( join @ b @ d ) ) ) @ ( join @ ( meet @ a @ ( join @ b @ ( meet @ c @ d ) ) ) @ ( join @ ( meet @ a @ c ) @ ( meet @ a @ d ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
thf(15,plain,
$false = $false,
inference(unfold_def,[status(thm)],[13]) ).
thf(16,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( join @ ( join @ X @ Y ) @ Z )
= ( join @ X @ ( join @ Y @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(17,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( meet @ ( meet @ X @ Y ) @ Z )
= ( meet @ X @ ( meet @ Y @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(18,plain,
( ( ! [X: $i,Y: $i] :
( ( join @ X @ Y )
= ( join @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(19,plain,
( ( ! [X: $i,Y: $i] :
( ( meet @ X @ Y )
= ( meet @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(20,plain,
( ( ! [X: $i,Y: $i] :
( ( join @ X @ ( meet @ X @ Y ) )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(21,plain,
( ( ! [X: $i,Y: $i] :
( ( meet @ X @ ( join @ X @ Y ) )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(22,plain,
( ( ! [X: $i] :
( ( join @ X @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(23,plain,
( ( ! [X: $i] :
( ( meet @ X @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(24,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( meet @ ( join @ X @ ( meet @ Y @ Z ) ) @ ( join @ Z @ ( meet @ X @ Y ) ) )
= ( join @ ( meet @ Z @ ( join @ X @ ( meet @ Y @ Z ) ) ) @ ( meet @ X @ ( join @ Y @ Z ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(25,plain,
( ( ! [X: $i,Y: $i,Z: $i,U: $i] :
( ( join @ X @ ( meet @ Y @ ( join @ Z @ ( meet @ X @ U ) ) ) )
= ( meet @ ( join @ X @ ( meet @ Y @ ( join @ X @ Z ) ) ) @ ( join @ X @ ( meet @ ( join @ X @ Y ) @ ( join @ Z @ U ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(26,plain,
( ( ! [X: $i,Y: $i,Z: $i,U: $i] :
( ( meet @ X @ ( join @ Y @ ( meet @ Z @ ( join @ X @ U ) ) ) )
= ( join @ ( meet @ X @ ( join @ Y @ ( meet @ X @ Z ) ) ) @ ( meet @ X @ ( join @ ( meet @ X @ Y ) @ ( meet @ Z @ U ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(27,plain,
( ( ( ( meet @ a @ ( meet @ ( join @ b @ c ) @ ( join @ b @ d ) ) )
!= ( meet @ ( meet @ a @ ( meet @ ( join @ b @ c ) @ ( join @ b @ d ) ) ) @ ( join @ ( meet @ a @ ( join @ b @ ( meet @ c @ d ) ) ) @ ( join @ ( meet @ a @ c ) @ ( meet @ a @ d ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(28,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[15]) ).
thf(29,plain,
( ( ( ( meet @ a @ ( meet @ ( join @ b @ c ) @ ( join @ b @ d ) ) )
!= ( meet @ ( meet @ a @ ( meet @ ( join @ b @ c ) @ ( join @ b @ d ) ) ) @ ( join @ ( meet @ a @ ( join @ b @ ( meet @ c @ d ) ) ) @ ( join @ ( meet @ a @ c ) @ ( meet @ a @ d ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(30,plain,
( ( ( ( meet @ a @ ( meet @ ( join @ b @ c ) @ ( join @ b @ d ) ) )
!= ( meet @ ( meet @ a @ ( meet @ ( join @ b @ c ) @ ( join @ b @ d ) ) ) @ ( join @ ( meet @ a @ ( join @ b @ ( meet @ c @ d ) ) ) @ ( join @ ( meet @ a @ c ) @ ( meet @ a @ d ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(31,plain,
( ( ! [X: $i,Y: $i,Z: $i,U: $i] :
( ( meet @ X @ ( join @ Y @ ( meet @ Z @ ( join @ X @ U ) ) ) )
= ( join @ ( meet @ X @ ( join @ Y @ ( meet @ X @ Z ) ) ) @ ( meet @ X @ ( join @ ( meet @ X @ Y ) @ ( meet @ Z @ U ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(32,plain,
( ( ! [X: $i,Y: $i,Z: $i,U: $i] :
( ( join @ X @ ( meet @ Y @ ( join @ Z @ ( meet @ X @ U ) ) ) )
= ( meet @ ( join @ X @ ( meet @ Y @ ( join @ X @ Z ) ) ) @ ( join @ X @ ( meet @ ( join @ X @ Y ) @ ( join @ Z @ U ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(33,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( meet @ ( join @ X @ ( meet @ Y @ Z ) ) @ ( join @ Z @ ( meet @ X @ Y ) ) )
= ( join @ ( meet @ Z @ ( join @ X @ ( meet @ Y @ Z ) ) ) @ ( meet @ X @ ( join @ Y @ Z ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(34,plain,
( ( ! [X: $i] :
( ( meet @ X @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(35,plain,
( ( ! [X: $i] :
( ( join @ X @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(36,plain,
( ( ! [X: $i,Y: $i] :
( ( meet @ X @ ( join @ X @ Y ) )
= X ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(37,plain,
( ( ! [X: $i,Y: $i] :
( ( join @ X @ ( meet @ X @ Y ) )
= X ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(38,plain,
( ( ! [X: $i,Y: $i] :
( ( meet @ X @ Y )
= ( meet @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(39,plain,
( ( ! [X: $i,Y: $i] :
( ( join @ X @ Y )
= ( join @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(40,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( meet @ ( meet @ X @ Y ) @ Z )
= ( meet @ X @ ( meet @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(41,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( join @ ( join @ X @ Y ) @ Z )
= ( join @ X @ ( join @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(42,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(43,plain,
( ( ( meet @ a @ ( meet @ ( join @ b @ c ) @ ( join @ b @ d ) ) )
= ( meet @ ( meet @ a @ ( meet @ ( join @ b @ c ) @ ( join @ b @ d ) ) ) @ ( join @ ( meet @ a @ ( join @ b @ ( meet @ c @ d ) ) ) @ ( join @ ( meet @ a @ c ) @ ( meet @ a @ d ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(44,plain,
! [SV1: $i] :
( ( ! [SY27: $i,SY28: $i,SY29: $i] :
( ( meet @ SV1 @ ( join @ SY27 @ ( meet @ SY28 @ ( join @ SV1 @ SY29 ) ) ) )
= ( join @ ( meet @ SV1 @ ( join @ SY27 @ ( meet @ SV1 @ SY28 ) ) ) @ ( meet @ SV1 @ ( join @ ( meet @ SV1 @ SY27 ) @ ( meet @ SY28 @ SY29 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(45,plain,
! [SV2: $i] :
( ( ! [SY30: $i,SY31: $i,SY32: $i] :
( ( join @ SV2 @ ( meet @ SY30 @ ( join @ SY31 @ ( meet @ SV2 @ SY32 ) ) ) )
= ( meet @ ( join @ SV2 @ ( meet @ SY30 @ ( join @ SV2 @ SY31 ) ) ) @ ( join @ SV2 @ ( meet @ ( join @ SV2 @ SY30 ) @ ( join @ SY31 @ SY32 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(46,plain,
! [SV3: $i] :
( ( ! [SY33: $i,SY34: $i] :
( ( meet @ ( join @ SV3 @ ( meet @ SY33 @ SY34 ) ) @ ( join @ SY34 @ ( meet @ SV3 @ SY33 ) ) )
= ( join @ ( meet @ SY34 @ ( join @ SV3 @ ( meet @ SY33 @ SY34 ) ) ) @ ( meet @ SV3 @ ( join @ SY33 @ SY34 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(47,plain,
! [SV4: $i] :
( ( ( meet @ SV4 @ SV4 )
= SV4 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(48,plain,
! [SV5: $i] :
( ( ( join @ SV5 @ SV5 )
= SV5 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(49,plain,
! [SV6: $i] :
( ( ! [SY35: $i] :
( ( meet @ SV6 @ ( join @ SV6 @ SY35 ) )
= SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(50,plain,
! [SV7: $i] :
( ( ! [SY36: $i] :
( ( join @ SV7 @ ( meet @ SV7 @ SY36 ) )
= SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(51,plain,
! [SV8: $i] :
( ( ! [SY37: $i] :
( ( meet @ SV8 @ SY37 )
= ( meet @ SY37 @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(52,plain,
! [SV9: $i] :
( ( ! [SY38: $i] :
( ( join @ SV9 @ SY38 )
= ( join @ SY38 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(53,plain,
! [SV10: $i] :
( ( ! [SY39: $i,SY40: $i] :
( ( meet @ ( meet @ SV10 @ SY39 ) @ SY40 )
= ( meet @ SV10 @ ( meet @ SY39 @ SY40 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(54,plain,
! [SV11: $i] :
( ( ! [SY41: $i,SY42: $i] :
( ( join @ ( join @ SV11 @ SY41 ) @ SY42 )
= ( join @ SV11 @ ( join @ SY41 @ SY42 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(55,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(56,plain,
! [SV12: $i,SV1: $i] :
( ( ! [SY43: $i,SY44: $i] :
( ( meet @ SV1 @ ( join @ SV12 @ ( meet @ SY43 @ ( join @ SV1 @ SY44 ) ) ) )
= ( join @ ( meet @ SV1 @ ( join @ SV12 @ ( meet @ SV1 @ SY43 ) ) ) @ ( meet @ SV1 @ ( join @ ( meet @ SV1 @ SV12 ) @ ( meet @ SY43 @ SY44 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(57,plain,
! [SV13: $i,SV2: $i] :
( ( ! [SY45: $i,SY46: $i] :
( ( join @ SV2 @ ( meet @ SV13 @ ( join @ SY45 @ ( meet @ SV2 @ SY46 ) ) ) )
= ( meet @ ( join @ SV2 @ ( meet @ SV13 @ ( join @ SV2 @ SY45 ) ) ) @ ( join @ SV2 @ ( meet @ ( join @ SV2 @ SV13 ) @ ( join @ SY45 @ SY46 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(58,plain,
! [SV14: $i,SV3: $i] :
( ( ! [SY47: $i] :
( ( meet @ ( join @ SV3 @ ( meet @ SV14 @ SY47 ) ) @ ( join @ SY47 @ ( meet @ SV3 @ SV14 ) ) )
= ( join @ ( meet @ SY47 @ ( join @ SV3 @ ( meet @ SV14 @ SY47 ) ) ) @ ( meet @ SV3 @ ( join @ SV14 @ SY47 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(59,plain,
! [SV15: $i,SV6: $i] :
( ( ( meet @ SV6 @ ( join @ SV6 @ SV15 ) )
= SV6 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(60,plain,
! [SV16: $i,SV7: $i] :
( ( ( join @ SV7 @ ( meet @ SV7 @ SV16 ) )
= SV7 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(61,plain,
! [SV17: $i,SV8: $i] :
( ( ( meet @ SV8 @ SV17 )
= ( meet @ SV17 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(62,plain,
! [SV18: $i,SV9: $i] :
( ( ( join @ SV9 @ SV18 )
= ( join @ SV18 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(63,plain,
! [SV19: $i,SV10: $i] :
( ( ! [SY48: $i] :
( ( meet @ ( meet @ SV10 @ SV19 ) @ SY48 )
= ( meet @ SV10 @ ( meet @ SV19 @ SY48 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(64,plain,
! [SV20: $i,SV11: $i] :
( ( ! [SY49: $i] :
( ( join @ ( join @ SV11 @ SV20 ) @ SY49 )
= ( join @ SV11 @ ( join @ SV20 @ SY49 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(65,plain,
! [SV21: $i,SV12: $i,SV1: $i] :
( ( ! [SY50: $i] :
( ( meet @ SV1 @ ( join @ SV12 @ ( meet @ SV21 @ ( join @ SV1 @ SY50 ) ) ) )
= ( join @ ( meet @ SV1 @ ( join @ SV12 @ ( meet @ SV1 @ SV21 ) ) ) @ ( meet @ SV1 @ ( join @ ( meet @ SV1 @ SV12 ) @ ( meet @ SV21 @ SY50 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(66,plain,
! [SV22: $i,SV13: $i,SV2: $i] :
( ( ! [SY51: $i] :
( ( join @ SV2 @ ( meet @ SV13 @ ( join @ SV22 @ ( meet @ SV2 @ SY51 ) ) ) )
= ( meet @ ( join @ SV2 @ ( meet @ SV13 @ ( join @ SV2 @ SV22 ) ) ) @ ( join @ SV2 @ ( meet @ ( join @ SV2 @ SV13 ) @ ( join @ SV22 @ SY51 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(67,plain,
! [SV23: $i,SV14: $i,SV3: $i] :
( ( ( meet @ ( join @ SV3 @ ( meet @ SV14 @ SV23 ) ) @ ( join @ SV23 @ ( meet @ SV3 @ SV14 ) ) )
= ( join @ ( meet @ SV23 @ ( join @ SV3 @ ( meet @ SV14 @ SV23 ) ) ) @ ( meet @ SV3 @ ( join @ SV14 @ SV23 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(68,plain,
! [SV24: $i,SV19: $i,SV10: $i] :
( ( ( meet @ ( meet @ SV10 @ SV19 ) @ SV24 )
= ( meet @ SV10 @ ( meet @ SV19 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(69,plain,
! [SV25: $i,SV20: $i,SV11: $i] :
( ( ( join @ ( join @ SV11 @ SV20 ) @ SV25 )
= ( join @ SV11 @ ( join @ SV20 @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(70,plain,
! [SV26: $i,SV21: $i,SV12: $i,SV1: $i] :
( ( ( meet @ SV1 @ ( join @ SV12 @ ( meet @ SV21 @ ( join @ SV1 @ SV26 ) ) ) )
= ( join @ ( meet @ SV1 @ ( join @ SV12 @ ( meet @ SV1 @ SV21 ) ) ) @ ( meet @ SV1 @ ( join @ ( meet @ SV1 @ SV12 ) @ ( meet @ SV21 @ SV26 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(71,plain,
! [SV27: $i,SV22: $i,SV13: $i,SV2: $i] :
( ( ( join @ SV2 @ ( meet @ SV13 @ ( join @ SV22 @ ( meet @ SV2 @ SV27 ) ) ) )
= ( meet @ ( join @ SV2 @ ( meet @ SV13 @ ( join @ SV2 @ SV22 ) ) ) @ ( join @ SV2 @ ( meet @ ( join @ SV2 @ SV13 ) @ ( join @ SV22 @ SV27 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(72,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[43,71,70,69,68,67,62,61,60,59,55,48,47]) ).
thf(73,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT010-1 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n014.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 : Thu Jun 30 01:17:41 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.35
% 0.19/0.35 No.of.Axioms: 12
% 0.19/0.35
% 0.19/0.35 Length.of.Defs: 0
% 0.19/0.35
% 0.19/0.35 Contains.Choice.Funs: false
% 0.19/0.36 (rf:0,axioms:12,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:14,loop_count:0,foatp_calls:0,translation:fof_full)....
% 20.54/20.75
% 20.54/20.75 ********************************
% 20.54/20.75 * All subproblems solved! *
% 20.54/20.75 ********************************
% 20.54/20.75 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:12,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:72,loop_count:0,foatp_calls:1,translation:fof_full)
% 20.54/20.75
% 20.54/20.75 %**** Beginning of derivation protocol ****
% 20.54/20.75 % SZS output start CNFRefutation
% See solution above
% 20.54/20.75
% 20.54/20.75 %**** End of derivation protocol ****
% 20.54/20.75 %**** no. of clauses in derivation: 73 ****
% 20.54/20.75 %**** clause counter: 72 ****
% 20.54/20.75
% 20.54/20.75 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:12,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:72,loop_count:0,foatp_calls:1,translation:fof_full)
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