TSTP Solution File: SYN069-1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYN069-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n027.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 : Thu Jul 21 08:23:17 EDT 2022
% Result : Unsatisfiable 0.21s 0.40s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 93 ( 38 unt; 9 typ; 0 def)
% Number of atoms : 585 ( 150 equ; 0 cnn)
% Maximal formula atoms : 5 ( 6 avg)
% Number of connectives : 759 ( 134 ~; 201 |; 0 &; 424 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 113 ( 0 ^ 113 !; 0 ?; 113 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $i ).
thf(tp_big_f,type,
big_f: $i > $o ).
thf(tp_big_g,type,
big_g: $i > $o ).
thf(tp_big_h,type,
big_h: $i > $i > $o ).
thf(tp_big_j,type,
big_j: $i > $i > $o ).
thf(tp_big_k,type,
big_k: $i > $o ).
thf(tp_big_l,type,
big_l: $i > $o ).
thf(tp_f,type,
f: $i > $i ).
thf(tp_g,type,
g: $i > $i ).
thf(1,axiom,
! [X: $i] :
( ~ ( big_g @ X )
| ~ ( big_h @ a @ X )
| ( big_j @ a @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
thf(2,axiom,
! [X: $i] :
( ~ ( big_h @ a @ X )
| ( big_l @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
thf(3,axiom,
big_f @ a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
thf(4,axiom,
! [X: $i] :
( ~ ( big_l @ X )
| ~ ( big_k @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
thf(5,axiom,
! [X: $i,Y: $i] :
( ~ ( big_f @ X )
| ~ ( big_j @ X @ ( f @ X ) )
| ~ ( big_g @ Y )
| ~ ( big_h @ X @ Y )
| ( big_k @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
thf(6,axiom,
! [X: $i,Y: $i] :
( ~ ( big_f @ X )
| ( big_h @ X @ ( f @ X ) )
| ~ ( big_g @ Y )
| ~ ( big_h @ X @ Y )
| ( big_k @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
thf(7,axiom,
! [X: $i,Y: $i] :
( ~ ( big_f @ X )
| ( big_g @ ( f @ X ) )
| ~ ( big_g @ Y )
| ~ ( big_h @ X @ Y )
| ( big_k @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
thf(8,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(9,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[8]) ).
thf(10,negated_conjecture,
! [X: $i] :
( ~ ( big_f @ X )
| ( big_h @ X @ ( g @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
thf(11,negated_conjecture,
! [X: $i] :
( ~ ( big_f @ X )
| ( big_g @ ( g @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
thf(12,plain,
$false = $false,
inference(unfold_def,[status(thm)],[9]) ).
thf(13,plain,
( ( ! [X: $i] :
( ~ ( big_g @ X )
| ~ ( big_h @ a @ X )
| ( big_j @ a @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(14,plain,
( ( ! [X: $i] :
( ~ ( big_h @ a @ X )
| ( big_l @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(15,plain,
( ( big_f @ a )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(16,plain,
( ( ! [X: $i] :
( ~ ( big_l @ X )
| ~ ( big_k @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(17,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( big_f @ X )
| ~ ( big_j @ X @ ( f @ X ) )
| ~ ( big_g @ Y )
| ~ ( big_h @ X @ Y )
| ( big_k @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(18,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( big_f @ X )
| ( big_h @ X @ ( f @ X ) )
| ~ ( big_g @ Y )
| ~ ( big_h @ X @ Y )
| ( big_k @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(19,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( big_f @ X )
| ( big_g @ ( f @ X ) )
| ~ ( big_g @ Y )
| ~ ( big_h @ X @ Y )
| ( big_k @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(20,plain,
( ( ! [X: $i] :
( ~ ( big_f @ X )
| ( big_h @ X @ ( g @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(21,plain,
( ( ! [X: $i] :
( ~ ( big_f @ X )
| ( big_g @ ( g @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(22,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[12]) ).
thf(23,plain,
( ( ! [X: $i] :
( ~ ( big_f @ X )
| ~ ( big_j @ X @ ( f @ X ) )
| ! [Y: $i] :
( ~ ( big_g @ Y )
| ~ ( big_h @ X @ Y )
| ( big_k @ Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(24,plain,
( ( ! [X: $i] :
( ~ ( big_f @ X )
| ( big_h @ X @ ( f @ X ) )
| ! [Y: $i] :
( ~ ( big_g @ Y )
| ~ ( big_h @ X @ Y )
| ( big_k @ Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(25,plain,
( ( ! [X: $i] :
( ~ ( big_f @ X )
| ( big_g @ ( f @ X ) )
| ! [Y: $i] :
( ~ ( big_g @ Y )
| ~ ( big_h @ X @ Y )
| ( big_k @ Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(26,plain,
( ( ! [X: $i] :
( ~ ( big_f @ X )
| ( big_g @ ( g @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(27,plain,
( ( ! [X: $i] :
( ~ ( big_f @ X )
| ( big_h @ X @ ( g @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(28,plain,
( ( ! [X: $i] :
( ~ ( big_f @ X )
| ( big_g @ ( f @ X ) )
| ! [Y: $i] :
( ~ ( big_g @ Y )
| ~ ( big_h @ X @ Y )
| ( big_k @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(29,plain,
( ( ! [X: $i] :
( ~ ( big_f @ X )
| ( big_h @ X @ ( f @ X ) )
| ! [Y: $i] :
( ~ ( big_g @ Y )
| ~ ( big_h @ X @ Y )
| ( big_k @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(30,plain,
( ( ! [X: $i] :
( ~ ( big_f @ X )
| ~ ( big_j @ X @ ( f @ X ) )
| ! [Y: $i] :
( ~ ( big_g @ Y )
| ~ ( big_h @ X @ Y )
| ( big_k @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(31,plain,
( ( ! [X: $i] :
( ~ ( big_l @ X )
| ~ ( big_k @ X ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(32,plain,
( ( big_f @ a )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(33,plain,
( ( ! [X: $i] :
( ~ ( big_h @ a @ X )
| ( big_l @ X ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(34,plain,
( ( ! [X: $i] :
( ~ ( big_g @ X )
| ~ ( big_h @ a @ X )
| ( big_j @ a @ X ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(35,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(36,plain,
! [SV1: $i] :
( ( ~ ( big_f @ SV1 )
| ( big_g @ ( g @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(37,plain,
! [SV2: $i] :
( ( ~ ( big_f @ SV2 )
| ( big_h @ SV2 @ ( g @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(38,plain,
! [SV3: $i] :
( ( ~ ( big_f @ SV3 )
| ( big_g @ ( f @ SV3 ) )
| ! [SY11: $i] :
( ~ ( big_g @ SY11 )
| ~ ( big_h @ SV3 @ SY11 )
| ( big_k @ SY11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(39,plain,
! [SV4: $i] :
( ( ~ ( big_f @ SV4 )
| ( big_h @ SV4 @ ( f @ SV4 ) )
| ! [SY12: $i] :
( ~ ( big_g @ SY12 )
| ~ ( big_h @ SV4 @ SY12 )
| ( big_k @ SY12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(40,plain,
! [SV5: $i] :
( ( ~ ( big_f @ SV5 )
| ~ ( big_j @ SV5 @ ( f @ SV5 ) )
| ! [SY13: $i] :
( ~ ( big_g @ SY13 )
| ~ ( big_h @ SV5 @ SY13 )
| ( big_k @ SY13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(41,plain,
! [SV6: $i] :
( ( ~ ( big_l @ SV6 )
| ~ ( big_k @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(42,plain,
! [SV7: $i] :
( ( ~ ( big_h @ a @ SV7 )
| ( big_l @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(43,plain,
! [SV8: $i] :
( ( ~ ( big_g @ SV8 )
| ~ ( big_h @ a @ SV8 )
| ( big_j @ a @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(44,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(45,plain,
! [SV1: $i] :
( ( ( ~ ( big_f @ SV1 ) )
= $true )
| ( ( big_g @ ( g @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(46,plain,
! [SV2: $i] :
( ( ( ~ ( big_f @ SV2 ) )
= $true )
| ( ( big_h @ SV2 @ ( g @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(47,plain,
! [SV3: $i] :
( ( ( ~ ( big_f @ SV3 ) )
= $true )
| ( ( ( big_g @ ( f @ SV3 ) )
| ! [SY11: $i] :
( ~ ( big_g @ SY11 )
| ~ ( big_h @ SV3 @ SY11 )
| ( big_k @ SY11 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(48,plain,
! [SV4: $i] :
( ( ( ~ ( big_f @ SV4 ) )
= $true )
| ( ( ( big_h @ SV4 @ ( f @ SV4 ) )
| ! [SY12: $i] :
( ~ ( big_g @ SY12 )
| ~ ( big_h @ SV4 @ SY12 )
| ( big_k @ SY12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(49,plain,
! [SV5: $i] :
( ( ( ~ ( big_f @ SV5 ) )
= $true )
| ( ( ~ ( big_j @ SV5 @ ( f @ SV5 ) )
| ! [SY13: $i] :
( ~ ( big_g @ SY13 )
| ~ ( big_h @ SV5 @ SY13 )
| ( big_k @ SY13 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(50,plain,
! [SV6: $i] :
( ( ( ~ ( big_l @ SV6 ) )
= $true )
| ( ( ~ ( big_k @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(51,plain,
! [SV7: $i] :
( ( ( ~ ( big_h @ a @ SV7 ) )
= $true )
| ( ( big_l @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(52,plain,
! [SV8: $i] :
( ( ( ~ ( big_g @ SV8 ) )
= $true )
| ( ( ~ ( big_h @ a @ SV8 )
| ( big_j @ a @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(53,plain,
! [SV1: $i] :
( ( ( big_f @ SV1 )
= $false )
| ( ( big_g @ ( g @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(54,plain,
! [SV2: $i] :
( ( ( big_f @ SV2 )
= $false )
| ( ( big_h @ SV2 @ ( g @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(55,plain,
! [SV3: $i] :
( ( ( big_f @ SV3 )
= $false )
| ( ( ( big_g @ ( f @ SV3 ) )
| ! [SY11: $i] :
( ~ ( big_g @ SY11 )
| ~ ( big_h @ SV3 @ SY11 )
| ( big_k @ SY11 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(56,plain,
! [SV4: $i] :
( ( ( big_f @ SV4 )
= $false )
| ( ( ( big_h @ SV4 @ ( f @ SV4 ) )
| ! [SY12: $i] :
( ~ ( big_g @ SY12 )
| ~ ( big_h @ SV4 @ SY12 )
| ( big_k @ SY12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(57,plain,
! [SV5: $i] :
( ( ( big_f @ SV5 )
= $false )
| ( ( ~ ( big_j @ SV5 @ ( f @ SV5 ) )
| ! [SY13: $i] :
( ~ ( big_g @ SY13 )
| ~ ( big_h @ SV5 @ SY13 )
| ( big_k @ SY13 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(58,plain,
! [SV6: $i] :
( ( ( big_l @ SV6 )
= $false )
| ( ( ~ ( big_k @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(59,plain,
! [SV7: $i] :
( ( ( big_h @ a @ SV7 )
= $false )
| ( ( big_l @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(60,plain,
! [SV8: $i] :
( ( ( big_g @ SV8 )
= $false )
| ( ( ~ ( big_h @ a @ SV8 )
| ( big_j @ a @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(61,plain,
! [SV3: $i] :
( ( ( big_g @ ( f @ SV3 ) )
= $true )
| ( ( ! [SY11: $i] :
( ~ ( big_g @ SY11 )
| ~ ( big_h @ SV3 @ SY11 )
| ( big_k @ SY11 ) ) )
= $true )
| ( ( big_f @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[55]) ).
thf(62,plain,
! [SV4: $i] :
( ( ( big_h @ SV4 @ ( f @ SV4 ) )
= $true )
| ( ( ! [SY12: $i] :
( ~ ( big_g @ SY12 )
| ~ ( big_h @ SV4 @ SY12 )
| ( big_k @ SY12 ) ) )
= $true )
| ( ( big_f @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(63,plain,
! [SV5: $i] :
( ( ( ~ ( big_j @ SV5 @ ( f @ SV5 ) ) )
= $true )
| ( ( ! [SY13: $i] :
( ~ ( big_g @ SY13 )
| ~ ( big_h @ SV5 @ SY13 )
| ( big_k @ SY13 ) ) )
= $true )
| ( ( big_f @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(64,plain,
! [SV6: $i] :
( ( ( big_k @ SV6 )
= $false )
| ( ( big_l @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(65,plain,
! [SV8: $i] :
( ( ( ~ ( big_h @ a @ SV8 ) )
= $true )
| ( ( big_j @ a @ SV8 )
= $true )
| ( ( big_g @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(66,plain,
! [SV3: $i,SV9: $i] :
( ( ( ~ ( big_g @ SV9 )
| ~ ( big_h @ SV3 @ SV9 )
| ( big_k @ SV9 ) )
= $true )
| ( ( big_g @ ( f @ SV3 ) )
= $true )
| ( ( big_f @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(67,plain,
! [SV4: $i,SV10: $i] :
( ( ( ~ ( big_g @ SV10 )
| ~ ( big_h @ SV4 @ SV10 )
| ( big_k @ SV10 ) )
= $true )
| ( ( big_h @ SV4 @ ( f @ SV4 ) )
= $true )
| ( ( big_f @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(68,plain,
! [SV5: $i] :
( ( ( big_j @ SV5 @ ( f @ SV5 ) )
= $false )
| ( ( ! [SY13: $i] :
( ~ ( big_g @ SY13 )
| ~ ( big_h @ SV5 @ SY13 )
| ( big_k @ SY13 ) ) )
= $true )
| ( ( big_f @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(69,plain,
! [SV8: $i] :
( ( ( big_h @ a @ SV8 )
= $false )
| ( ( big_j @ a @ SV8 )
= $true )
| ( ( big_g @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(70,plain,
! [SV3: $i,SV9: $i] :
( ( ( ~ ( big_g @ SV9 ) )
= $true )
| ( ( ~ ( big_h @ SV3 @ SV9 )
| ( big_k @ SV9 ) )
= $true )
| ( ( big_g @ ( f @ SV3 ) )
= $true )
| ( ( big_f @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[66]) ).
thf(71,plain,
! [SV4: $i,SV10: $i] :
( ( ( ~ ( big_g @ SV10 ) )
= $true )
| ( ( ~ ( big_h @ SV4 @ SV10 )
| ( big_k @ SV10 ) )
= $true )
| ( ( big_h @ SV4 @ ( f @ SV4 ) )
= $true )
| ( ( big_f @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(72,plain,
! [SV5: $i,SV11: $i] :
( ( ( ~ ( big_g @ SV11 )
| ~ ( big_h @ SV5 @ SV11 )
| ( big_k @ SV11 ) )
= $true )
| ( ( big_j @ SV5 @ ( f @ SV5 ) )
= $false )
| ( ( big_f @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(73,plain,
! [SV3: $i,SV9: $i] :
( ( ( big_g @ SV9 )
= $false )
| ( ( ~ ( big_h @ SV3 @ SV9 )
| ( big_k @ SV9 ) )
= $true )
| ( ( big_g @ ( f @ SV3 ) )
= $true )
| ( ( big_f @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(74,plain,
! [SV4: $i,SV10: $i] :
( ( ( big_g @ SV10 )
= $false )
| ( ( ~ ( big_h @ SV4 @ SV10 )
| ( big_k @ SV10 ) )
= $true )
| ( ( big_h @ SV4 @ ( f @ SV4 ) )
= $true )
| ( ( big_f @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(75,plain,
! [SV5: $i,SV11: $i] :
( ( ( ~ ( big_g @ SV11 ) )
= $true )
| ( ( ~ ( big_h @ SV5 @ SV11 )
| ( big_k @ SV11 ) )
= $true )
| ( ( big_j @ SV5 @ ( f @ SV5 ) )
= $false )
| ( ( big_f @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(76,plain,
! [SV9: $i,SV3: $i] :
( ( ( ~ ( big_h @ SV3 @ SV9 ) )
= $true )
| ( ( big_k @ SV9 )
= $true )
| ( ( big_g @ SV9 )
= $false )
| ( ( big_g @ ( f @ SV3 ) )
= $true )
| ( ( big_f @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(77,plain,
! [SV10: $i,SV4: $i] :
( ( ( ~ ( big_h @ SV4 @ SV10 ) )
= $true )
| ( ( big_k @ SV10 )
= $true )
| ( ( big_g @ SV10 )
= $false )
| ( ( big_h @ SV4 @ ( f @ SV4 ) )
= $true )
| ( ( big_f @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(78,plain,
! [SV5: $i,SV11: $i] :
( ( ( big_g @ SV11 )
= $false )
| ( ( ~ ( big_h @ SV5 @ SV11 )
| ( big_k @ SV11 ) )
= $true )
| ( ( big_j @ SV5 @ ( f @ SV5 ) )
= $false )
| ( ( big_f @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(79,plain,
! [SV9: $i,SV3: $i] :
( ( ( big_h @ SV3 @ SV9 )
= $false )
| ( ( big_k @ SV9 )
= $true )
| ( ( big_g @ SV9 )
= $false )
| ( ( big_g @ ( f @ SV3 ) )
= $true )
| ( ( big_f @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(80,plain,
! [SV10: $i,SV4: $i] :
( ( ( big_h @ SV4 @ SV10 )
= $false )
| ( ( big_k @ SV10 )
= $true )
| ( ( big_g @ SV10 )
= $false )
| ( ( big_h @ SV4 @ ( f @ SV4 ) )
= $true )
| ( ( big_f @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(81,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ( big_h @ SV5 @ SV11 ) )
= $true )
| ( ( big_k @ SV11 )
= $true )
| ( ( big_g @ SV11 )
= $false )
| ( ( big_j @ SV5 @ ( f @ SV5 ) )
= $false )
| ( ( big_f @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(82,plain,
! [SV11: $i,SV5: $i] :
( ( ( big_h @ SV5 @ SV11 )
= $false )
| ( ( big_k @ SV11 )
= $true )
| ( ( big_g @ SV11 )
= $false )
| ( ( big_j @ SV5 @ ( f @ SV5 ) )
= $false )
| ( ( big_f @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(83,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[32,82,80,79,69,64,59,54,53,44]) ).
thf(84,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN069-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jul 11 20:24:19 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35
% 0.14/0.35 No.of.Axioms: 9
% 0.14/0.35
% 0.14/0.35 Length.of.Defs: 0
% 0.14/0.35
% 0.14/0.35 Contains.Choice.Funs: false
% 0.21/0.35 (rf:0,axioms:9,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:11,loop_count:0,foatp_calls:0,translation:fof_full)...
% 0.21/0.40
% 0.21/0.40 ********************************
% 0.21/0.40 * All subproblems solved! *
% 0.21/0.40 ********************************
% 0.21/0.40 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:9,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:83,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.21/0.40
% 0.21/0.40 %**** Beginning of derivation protocol ****
% 0.21/0.40 % SZS output start CNFRefutation
% See solution above
% 0.21/0.40
% 0.21/0.40 %**** End of derivation protocol ****
% 0.21/0.40 %**** no. of clauses in derivation: 84 ****
% 0.21/0.40 %**** clause counter: 83 ****
% 0.21/0.40
% 0.21/0.40 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:9,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:83,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------