TSTP Solution File: LDA007-2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LDA007-2 : TPTP v8.1.0. Bugfixed v2.6.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n024.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 16:44:47 EDT 2022
% Result : Unsatisfiable 0.39s 0.58s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 37
% Syntax : Number of formulae : 118 ( 87 unt; 16 typ; 0 def)
% Number of atoms : 319 ( 173 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 543 ( 30 ~; 37 |; 0 &; 476 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 14 con; 0-2 aty)
% Number of variables : 143 ( 0 ^ 143 !; 0 ?; 143 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $i > $i > $i ).
thf(tp_critical_point,type,
critical_point: $i > $i ).
thf(tp_f,type,
f: $i > $i > $i ).
thf(tp_k,type,
k: $i ).
thf(tp_less,type,
less: $i > $i > $o ).
thf(tp_s,type,
s: $i ).
thf(tp_sk,type,
sk: $i ).
thf(tp_st,type,
st: $i ).
thf(tp_stk,type,
stk: $i ).
thf(tp_t,type,
t: $i ).
thf(tp_tk,type,
tk: $i ).
thf(tp_ts,type,
ts: $i ).
thf(tp_tsk,type,
tsk: $i ).
thf(tp_tt,type,
tt: $i ).
thf(tp_tt_ts,type,
tt_ts: $i ).
thf(tp_ttk,type,
ttk: $i ).
thf(1,axiom,
( ttk
= ( f @ tt @ k ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
thf(2,axiom,
( tsk
= ( f @ ts @ k ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
thf(3,axiom,
( stk
= ( f @ st @ k ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
thf(4,axiom,
( tk
= ( f @ t @ k ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
thf(5,axiom,
( sk
= ( f @ s @ k ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
thf(6,axiom,
( k
= ( critical_point @ t ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
thf(7,axiom,
( tt_ts
= ( f @ tt @ ts ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
thf(8,axiom,
( ts
= ( f @ t @ s ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
thf(9,axiom,
( st
= ( f @ s @ t ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
thf(10,axiom,
( tt
= ( f @ t @ t ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
thf(11,axiom,
! [U: $i,X: $i,V: $i] :
( ( ( a @ U @ X )
!= X )
| ( ( a @ ( f @ V @ U ) @ X )
= X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2) ).
thf(12,axiom,
! [X: $i,U: $i] :
( ( less @ X @ ( critical_point @ U ) )
| ( less @ X @ ( a @ U @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3) ).
thf(13,axiom,
! [X: $i,U: $i] :
( ~ ( less @ X @ ( critical_point @ U ) )
| ( ( a @ U @ X )
= X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2) ).
thf(14,axiom,
! [X: $i,U: $i] :
( ( X
= ( a @ U @ X ) )
| ( less @ X @ ( a @ U @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1) ).
thf(15,axiom,
! [X: $i,Y: $i,U: $i] :
( ~ ( less @ X @ Y )
| ( less @ ( a @ U @ X ) @ ( a @ U @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b4) ).
thf(16,axiom,
! [X: $i] :
~ ( less @ X @ X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b1) ).
thf(17,axiom,
! [U: $i,V: $i] :
( ( critical_point @ ( f @ U @ V ) )
= ( a @ U @ ( critical_point @ V ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).
thf(18,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( a @ X @ ( a @ Y @ Z ) )
= ( a @ ( f @ X @ Y ) @ ( a @ X @ Z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1a) ).
thf(19,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( f @ X @ ( f @ Y @ Z ) )
= ( f @ ( f @ X @ Y ) @ ( f @ X @ Z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).
thf(20,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(21,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[20]) ).
thf(22,negated_conjecture,
( f @ t @ tsk )
!= ( f @ tt_ts @ tk ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).
thf(23,plain,
$false = $false,
inference(unfold_def,[status(thm)],[21]) ).
thf(24,plain,
( ( ttk
= ( f @ tt @ k ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(25,plain,
( ( tsk
= ( f @ ts @ k ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(26,plain,
( ( stk
= ( f @ st @ k ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(27,plain,
( ( tk
= ( f @ t @ k ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(28,plain,
( ( sk
= ( f @ s @ k ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(29,plain,
( ( k
= ( critical_point @ t ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(30,plain,
( ( tt_ts
= ( f @ tt @ ts ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(31,plain,
( ( ts
= ( f @ t @ s ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(32,plain,
( ( st
= ( f @ s @ t ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(33,plain,
( ( tt
= ( f @ t @ t ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(34,plain,
( ( ! [U: $i,X: $i,V: $i] :
( ( ( a @ U @ X )
!= X )
| ( ( a @ ( f @ V @ U ) @ X )
= X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(35,plain,
( ( ! [X: $i,U: $i] :
( ( less @ X @ ( critical_point @ U ) )
| ( less @ X @ ( a @ U @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(36,plain,
( ( ! [X: $i,U: $i] :
( ~ ( less @ X @ ( critical_point @ U ) )
| ( ( a @ U @ X )
= X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(37,plain,
( ( ! [X: $i,U: $i] :
( ( X
= ( a @ U @ X ) )
| ( less @ X @ ( a @ U @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(38,plain,
( ( ! [X: $i,Y: $i,U: $i] :
( ~ ( less @ X @ Y )
| ( less @ ( a @ U @ X ) @ ( a @ U @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(39,plain,
( ( ! [X: $i] :
~ ( less @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(40,plain,
( ( ! [U: $i,V: $i] :
( ( critical_point @ ( f @ U @ V ) )
= ( a @ U @ ( critical_point @ V ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(41,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( a @ X @ ( a @ Y @ Z ) )
= ( a @ ( f @ X @ Y ) @ ( a @ X @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(42,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( f @ X @ ( f @ Y @ Z ) )
= ( f @ ( f @ X @ Y ) @ ( f @ X @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(43,plain,
( ( ( ( f @ t @ tsk )
!= ( f @ tt_ts @ tk ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(44,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[23]) ).
thf(45,plain,
( ( ! [U: $i,X: $i] :
( ( ( a @ U @ X )
!= X )
| ! [V: $i] :
( ( a @ ( f @ V @ U ) @ X )
= X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[34]) ).
thf(46,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( less @ X @ Y )
| ! [U: $i] : ( less @ ( a @ U @ X ) @ ( a @ U @ Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[38]) ).
thf(47,plain,
( ( ( ( f @ t @ tsk )
!= ( f @ tt_ts @ tk ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[43]) ).
thf(48,plain,
( ( ( ( f @ t @ tsk )
!= ( f @ tt_ts @ tk ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(49,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( f @ X @ ( f @ Y @ Z ) )
= ( f @ ( f @ X @ Y ) @ ( f @ X @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(50,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( a @ X @ ( a @ Y @ Z ) )
= ( a @ ( f @ X @ Y ) @ ( a @ X @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(51,plain,
( ( ! [U: $i,V: $i] :
( ( critical_point @ ( f @ U @ V ) )
= ( a @ U @ ( critical_point @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(52,plain,
( ( ! [X: $i] :
~ ( less @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(53,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( less @ X @ Y )
| ! [U: $i] : ( less @ ( a @ U @ X ) @ ( a @ U @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(54,plain,
( ( ! [X: $i,U: $i] :
( ( X
= ( a @ U @ X ) )
| ( less @ X @ ( a @ U @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(55,plain,
( ( ! [X: $i,U: $i] :
( ~ ( less @ X @ ( critical_point @ U ) )
| ( ( a @ U @ X )
= X ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(56,plain,
( ( ! [X: $i,U: $i] :
( ( less @ X @ ( critical_point @ U ) )
| ( less @ X @ ( a @ U @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(57,plain,
( ( ! [U: $i,X: $i] :
( ( ( a @ U @ X )
!= X )
| ! [V: $i] :
( ( a @ ( f @ V @ U ) @ X )
= X ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(58,plain,
( ( tt
= ( f @ t @ t ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(59,plain,
( ( st
= ( f @ s @ t ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(60,plain,
( ( ts
= ( f @ t @ s ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(61,plain,
( ( tt_ts
= ( f @ tt @ ts ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(62,plain,
( ( k
= ( critical_point @ t ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(63,plain,
( ( sk
= ( f @ s @ k ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(64,plain,
( ( tk
= ( f @ t @ k ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(65,plain,
( ( stk
= ( f @ st @ k ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(66,plain,
( ( tsk
= ( f @ ts @ k ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(67,plain,
( ( ttk
= ( f @ tt @ k ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(68,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(69,plain,
( ( ( f @ t @ tsk )
= ( f @ tt_ts @ tk ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(70,plain,
! [SV1: $i] :
( ( ! [SY21: $i,SY22: $i] :
( ( f @ SV1 @ ( f @ SY21 @ SY22 ) )
= ( f @ ( f @ SV1 @ SY21 ) @ ( f @ SV1 @ SY22 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(71,plain,
! [SV2: $i] :
( ( ! [SY23: $i,SY24: $i] :
( ( a @ SV2 @ ( a @ SY23 @ SY24 ) )
= ( a @ ( f @ SV2 @ SY23 ) @ ( a @ SV2 @ SY24 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(72,plain,
! [SV3: $i] :
( ( ! [SY25: $i] :
( ( critical_point @ ( f @ SV3 @ SY25 ) )
= ( a @ SV3 @ ( critical_point @ SY25 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(73,plain,
! [SV4: $i] :
( ( ~ ( less @ SV4 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(74,plain,
! [SV5: $i] :
( ( ! [SY26: $i] :
( ~ ( less @ SV5 @ SY26 )
| ! [SY27: $i] : ( less @ ( a @ SY27 @ SV5 ) @ ( a @ SY27 @ SY26 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(75,plain,
! [SV6: $i] :
( ( ! [SY28: $i] :
( ( SV6
= ( a @ SY28 @ SV6 ) )
| ( less @ SV6 @ ( a @ SY28 @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(76,plain,
! [SV7: $i] :
( ( ! [SY29: $i] :
( ~ ( less @ SV7 @ ( critical_point @ SY29 ) )
| ( ( a @ SY29 @ SV7 )
= SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(77,plain,
! [SV8: $i] :
( ( ! [SY30: $i] :
( ( less @ SV8 @ ( critical_point @ SY30 ) )
| ( less @ SV8 @ ( a @ SY30 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(78,plain,
! [SV9: $i] :
( ( ! [SY31: $i] :
( ( ( a @ SV9 @ SY31 )
!= SY31 )
| ! [SY32: $i] :
( ( a @ ( f @ SY32 @ SV9 ) @ SY31 )
= SY31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(79,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(80,plain,
! [SV10: $i,SV1: $i] :
( ( ! [SY33: $i] :
( ( f @ SV1 @ ( f @ SV10 @ SY33 ) )
= ( f @ ( f @ SV1 @ SV10 ) @ ( f @ SV1 @ SY33 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(81,plain,
! [SV11: $i,SV2: $i] :
( ( ! [SY34: $i] :
( ( a @ SV2 @ ( a @ SV11 @ SY34 ) )
= ( a @ ( f @ SV2 @ SV11 ) @ ( a @ SV2 @ SY34 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(82,plain,
! [SV12: $i,SV3: $i] :
( ( ( critical_point @ ( f @ SV3 @ SV12 ) )
= ( a @ SV3 @ ( critical_point @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(83,plain,
! [SV4: $i] :
( ( less @ SV4 @ SV4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(84,plain,
! [SV13: $i,SV5: $i] :
( ( ~ ( less @ SV5 @ SV13 )
| ! [SY35: $i] : ( less @ ( a @ SY35 @ SV5 ) @ ( a @ SY35 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(85,plain,
! [SV14: $i,SV6: $i] :
( ( ( SV6
= ( a @ SV14 @ SV6 ) )
| ( less @ SV6 @ ( a @ SV14 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(86,plain,
! [SV15: $i,SV7: $i] :
( ( ~ ( less @ SV7 @ ( critical_point @ SV15 ) )
| ( ( a @ SV15 @ SV7 )
= SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(87,plain,
! [SV16: $i,SV8: $i] :
( ( ( less @ SV8 @ ( critical_point @ SV16 ) )
| ( less @ SV8 @ ( a @ SV16 @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(88,plain,
! [SV17: $i,SV9: $i] :
( ( ( ( a @ SV9 @ SV17 )
!= SV17 )
| ! [SY36: $i] :
( ( a @ ( f @ SY36 @ SV9 ) @ SV17 )
= SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(89,plain,
! [SV18: $i,SV10: $i,SV1: $i] :
( ( ( f @ SV1 @ ( f @ SV10 @ SV18 ) )
= ( f @ ( f @ SV1 @ SV10 ) @ ( f @ SV1 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(90,plain,
! [SV19: $i,SV11: $i,SV2: $i] :
( ( ( a @ SV2 @ ( a @ SV11 @ SV19 ) )
= ( a @ ( f @ SV2 @ SV11 ) @ ( a @ SV2 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(91,plain,
! [SV13: $i,SV5: $i] :
( ( ( ~ ( less @ SV5 @ SV13 ) )
= $true )
| ( ( ! [SY35: $i] : ( less @ ( a @ SY35 @ SV5 ) @ ( a @ SY35 @ SV13 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(92,plain,
! [SV14: $i,SV6: $i] :
( ( ( SV6
= ( a @ SV14 @ SV6 ) )
= $true )
| ( ( less @ SV6 @ ( a @ SV14 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(93,plain,
! [SV15: $i,SV7: $i] :
( ( ( ~ ( less @ SV7 @ ( critical_point @ SV15 ) ) )
= $true )
| ( ( ( a @ SV15 @ SV7 )
= SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(94,plain,
! [SV16: $i,SV8: $i] :
( ( ( less @ SV8 @ ( critical_point @ SV16 ) )
= $true )
| ( ( less @ SV8 @ ( a @ SV16 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(95,plain,
! [SV17: $i,SV9: $i] :
( ( ( ( ( a @ SV9 @ SV17 )
!= SV17 ) )
= $true )
| ( ( ! [SY36: $i] :
( ( a @ ( f @ SY36 @ SV9 ) @ SV17 )
= SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(96,plain,
! [SV13: $i,SV5: $i] :
( ( ( less @ SV5 @ SV13 )
= $false )
| ( ( ! [SY35: $i] : ( less @ ( a @ SY35 @ SV5 ) @ ( a @ SY35 @ SV13 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(97,plain,
! [SV15: $i,SV7: $i] :
( ( ( less @ SV7 @ ( critical_point @ SV15 ) )
= $false )
| ( ( ( a @ SV15 @ SV7 )
= SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(98,plain,
! [SV17: $i,SV9: $i] :
( ( ( ( a @ SV9 @ SV17 )
= SV17 )
= $false )
| ( ( ! [SY36: $i] :
( ( a @ ( f @ SY36 @ SV9 ) @ SV17 )
= SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(99,plain,
! [SV13: $i,SV5: $i,SV20: $i] :
( ( ( less @ ( a @ SV20 @ SV5 ) @ ( a @ SV20 @ SV13 ) )
= $true )
| ( ( less @ SV5 @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(100,plain,
! [SV17: $i,SV9: $i,SV21: $i] :
( ( ( ( a @ ( f @ SV21 @ SV9 ) @ SV17 )
= SV17 )
= $true )
| ( ( ( a @ SV9 @ SV17 )
= SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(101,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[58,100,99,97,94,92,90,89,83,82,79,69,67,66,65,64,63,62,61,60,59]) ).
thf(102,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LDA007-2 : TPTP v8.1.0. Bugfixed v2.6.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n024.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 : Mon May 30 04:27:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.36
% 0.13/0.36 No.of.Axioms: 20
% 0.13/0.36
% 0.13/0.36 Length.of.Defs: 0
% 0.13/0.36
% 0.13/0.36 Contains.Choice.Funs: false
% 0.13/0.36 (rf:0,axioms:20,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:22,loop_count:0,foatp_calls:0,translation:fof_full)....
% 0.39/0.58
% 0.39/0.58 ********************************
% 0.39/0.58 * All subproblems solved! *
% 0.39/0.58 ********************************
% 0.39/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:20,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:101,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.39/0.58
% 0.39/0.58 %**** Beginning of derivation protocol ****
% 0.39/0.58 % SZS output start CNFRefutation
% See solution above
% 0.39/0.58
% 0.39/0.58 %**** End of derivation protocol ****
% 0.39/0.58 %**** no. of clauses in derivation: 102 ****
% 0.39/0.58 %**** clause counter: 101 ****
% 0.39/0.58
% 0.39/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:20,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:101,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------