TSTP Solution File: SWV001-1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWV001-1 : 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 : n023.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 : Wed Jul 20 19:53:08 EDT 2022
% Result : Unsatisfiable 0.21s 0.44s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 24
% Syntax : Number of formulae : 138 ( 68 unt; 9 typ; 0 def)
% Number of atoms : 726 ( 189 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 1172 ( 174 ~; 219 |; 0 &; 779 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 280 ( 0 ^ 280 !; 0 ?; 280 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $i ).
thf(tp_b,type,
b: $i ).
thf(tp_c,type,
c: $i ).
thf(tp_equalish,type,
equalish: $i > $i > $o ).
thf(tp_less_or_equalish,type,
less_or_equalish: $i > $i > $o ).
thf(tp_q1,type,
q1: $i > $i > $i > $o ).
thf(tp_q2,type,
q2: $i > $i > $i > $o ).
thf(tp_q3,type,
q3: $i > $i > $i > $o ).
thf(tp_q4,type,
q4: $i > $i > $i > $o ).
thf(1,axiom,
! [X: $i,Y: $i] :
( ( less_or_equalish @ X @ Y )
| ~ ( equalish @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_implies_less_or_equal) ).
thf(2,axiom,
! [X: $i,Y: $i] :
( ( less_or_equalish @ X @ Y )
| ( less_or_equalish @ Y @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_less_or_equal) ).
thf(3,axiom,
! [X: $i,Y: $i,Z: $i] :
( ~ ( less_or_equalish @ X @ Y )
| ~ ( less_or_equalish @ Y @ Z )
| ( less_or_equalish @ X @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_less_or_equal) ).
thf(4,axiom,
! [X: $i,Y: $i] :
( ~ ( less_or_equalish @ X @ Y )
| ~ ( less_or_equalish @ Y @ X )
| ( equalish @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_implies_equal) ).
thf(5,axiom,
! [X: $i] : ( less_or_equalish @ X @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_reflexivity) ).
thf(6,axiom,
! [X: $i,Y: $i,Z: $i] :
( ~ ( q3 @ X @ Y @ Z )
| ( q4 @ X @ Y @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
thf(7,axiom,
! [X: $i,Y: $i,Z: $i] :
( ~ ( q2 @ X @ Y @ Z )
| ( q4 @ X @ Y @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
thf(8,axiom,
! [X: $i,Y: $i,Z: $i] :
( ~ ( q1 @ X @ Y @ Z )
| ( less_or_equalish @ X @ Y )
| ( q3 @ X @ Y @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
thf(9,axiom,
! [X: $i,Y: $i,Z: $i] :
( ~ ( q1 @ X @ Y @ Z )
| ~ ( less_or_equalish @ X @ Y )
| ( q2 @ X @ Y @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
thf(10,axiom,
! [X: $i,Y: $i,Z: $i] :
( ~ ( equalish @ X @ Y )
| ~ ( less_or_equalish @ Z @ X )
| ( less_or_equalish @ Z @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_substitution2) ).
thf(11,axiom,
! [X: $i,Y: $i,Z: $i] :
( ~ ( equalish @ X @ Y )
| ~ ( less_or_equalish @ X @ Z )
| ( less_or_equalish @ Y @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_substitution1) ).
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,
! [W: $i] :
( ~ ( q4 @ a @ b @ W )
| ~ ( less_or_equalish @ a @ W )
| ~ ( less_or_equalish @ b @ W )
| ~ ( less_or_equalish @ W @ b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
thf(15,negated_conjecture,
! [W: $i] :
( ~ ( q4 @ a @ b @ W )
| ~ ( less_or_equalish @ a @ W )
| ~ ( less_or_equalish @ b @ W )
| ~ ( less_or_equalish @ W @ a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
thf(16,negated_conjecture,
q1 @ a @ b @ c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
thf(17,plain,
$false = $false,
inference(unfold_def,[status(thm)],[13]) ).
thf(18,plain,
( ( ! [X: $i,Y: $i] :
( ( less_or_equalish @ X @ Y )
| ~ ( equalish @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(19,plain,
( ( ! [X: $i,Y: $i] :
( ( less_or_equalish @ X @ Y )
| ( less_or_equalish @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(20,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( less_or_equalish @ X @ Y )
| ~ ( less_or_equalish @ Y @ Z )
| ( less_or_equalish @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(21,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( less_or_equalish @ X @ Y )
| ~ ( less_or_equalish @ Y @ X )
| ( equalish @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(22,plain,
( ( ! [X: $i] : ( less_or_equalish @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(23,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( q3 @ X @ Y @ Z )
| ( q4 @ X @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(24,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( q2 @ X @ Y @ Z )
| ( q4 @ X @ Y @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(25,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( q1 @ X @ Y @ Z )
| ( less_or_equalish @ X @ Y )
| ( q3 @ X @ Y @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(26,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( q1 @ X @ Y @ Z )
| ~ ( less_or_equalish @ X @ Y )
| ( q2 @ X @ Y @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(27,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( equalish @ X @ Y )
| ~ ( less_or_equalish @ Z @ X )
| ( less_or_equalish @ Z @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(28,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( equalish @ X @ Y )
| ~ ( less_or_equalish @ X @ Z )
| ( less_or_equalish @ Y @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(29,plain,
( ( ! [W: $i] :
( ~ ( q4 @ a @ b @ W )
| ~ ( less_or_equalish @ a @ W )
| ~ ( less_or_equalish @ b @ W )
| ~ ( less_or_equalish @ W @ b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(30,plain,
( ( ! [W: $i] :
( ~ ( q4 @ a @ b @ W )
| ~ ( less_or_equalish @ a @ W )
| ~ ( less_or_equalish @ b @ W )
| ~ ( less_or_equalish @ W @ a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(31,plain,
( ( q1 @ a @ b @ c )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(32,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[17]) ).
thf(33,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( less_or_equalish @ X @ Y )
| ! [Z: $i] :
( ~ ( less_or_equalish @ Y @ Z )
| ( less_or_equalish @ X @ Z ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[20]) ).
thf(34,plain,
( ( ! [X: $i,Y: $i] :
( ! [Z: $i] :
~ ( q3 @ X @ Y @ Z )
| ( q4 @ X @ Y @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(35,plain,
( ( ! [X: $i,Y: $i] :
( ! [Z: $i] :
~ ( q2 @ X @ Y @ Z )
| ( q4 @ X @ Y @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(36,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( equalish @ X @ Y )
| ! [Z: $i] :
( ~ ( less_or_equalish @ Z @ X )
| ( less_or_equalish @ Z @ Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(37,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( equalish @ X @ Y )
| ! [Z: $i] :
( ~ ( less_or_equalish @ X @ Z )
| ( less_or_equalish @ Y @ Z ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[28]) ).
thf(38,plain,
( ( q1 @ a @ b @ c )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(39,plain,
( ( ! [W: $i] :
( ~ ( q4 @ a @ b @ W )
| ~ ( less_or_equalish @ a @ W )
| ~ ( less_or_equalish @ b @ W )
| ~ ( less_or_equalish @ W @ a ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(40,plain,
( ( ! [W: $i] :
( ~ ( q4 @ a @ b @ W )
| ~ ( less_or_equalish @ a @ W )
| ~ ( less_or_equalish @ b @ W )
| ~ ( less_or_equalish @ W @ b ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(41,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( equalish @ X @ Y )
| ! [Z: $i] :
( ~ ( less_or_equalish @ X @ Z )
| ( less_or_equalish @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(42,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( equalish @ X @ Y )
| ! [Z: $i] :
( ~ ( less_or_equalish @ Z @ X )
| ( less_or_equalish @ Z @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(43,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( q1 @ X @ Y @ Z )
| ~ ( less_or_equalish @ X @ Y )
| ( q2 @ X @ Y @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(44,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( q1 @ X @ Y @ Z )
| ( less_or_equalish @ X @ Y )
| ( q3 @ X @ Y @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(45,plain,
( ( ! [X: $i,Y: $i] :
( ! [Z: $i] :
~ ( q2 @ X @ Y @ Z )
| ( q4 @ X @ Y @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(46,plain,
( ( ! [X: $i,Y: $i] :
( ! [Z: $i] :
~ ( q3 @ X @ Y @ Z )
| ( q4 @ X @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(47,plain,
( ( ! [X: $i] : ( less_or_equalish @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(48,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( less_or_equalish @ X @ Y )
| ~ ( less_or_equalish @ Y @ X )
| ( equalish @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(49,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( less_or_equalish @ X @ Y )
| ! [Z: $i] :
( ~ ( less_or_equalish @ Y @ Z )
| ( less_or_equalish @ X @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(50,plain,
( ( ! [X: $i,Y: $i] :
( ( less_or_equalish @ X @ Y )
| ( less_or_equalish @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(51,plain,
( ( ! [X: $i,Y: $i] :
( ( less_or_equalish @ X @ Y )
| ~ ( equalish @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(52,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(53,plain,
! [SV1: $i] :
( ( ~ ( q4 @ a @ b @ SV1 )
| ~ ( less_or_equalish @ a @ SV1 )
| ~ ( less_or_equalish @ b @ SV1 )
| ~ ( less_or_equalish @ SV1 @ a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(54,plain,
! [SV2: $i] :
( ( ~ ( q4 @ a @ b @ SV2 )
| ~ ( less_or_equalish @ a @ SV2 )
| ~ ( less_or_equalish @ b @ SV2 )
| ~ ( less_or_equalish @ SV2 @ b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(55,plain,
! [SV3: $i] :
( ( ! [SY30: $i] :
( ~ ( equalish @ SV3 @ SY30 )
| ! [SY31: $i] :
( ~ ( less_or_equalish @ SV3 @ SY31 )
| ( less_or_equalish @ SY30 @ SY31 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(56,plain,
! [SV4: $i] :
( ( ! [SY32: $i] :
( ~ ( equalish @ SV4 @ SY32 )
| ! [SY33: $i] :
( ~ ( less_or_equalish @ SY33 @ SV4 )
| ( less_or_equalish @ SY33 @ SY32 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(57,plain,
! [SV5: $i] :
( ( ! [SY34: $i,SY35: $i] :
( ~ ( q1 @ SV5 @ SY34 @ SY35 )
| ~ ( less_or_equalish @ SV5 @ SY34 )
| ( q2 @ SV5 @ SY34 @ SY35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(58,plain,
! [SV6: $i] :
( ( ! [SY36: $i,SY37: $i] :
( ~ ( q1 @ SV6 @ SY36 @ SY37 )
| ( less_or_equalish @ SV6 @ SY36 )
| ( q3 @ SV6 @ SY36 @ SY37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(59,plain,
! [SV7: $i] :
( ( ! [SY38: $i] :
( ! [SY39: $i] :
~ ( q2 @ SV7 @ SY38 @ SY39 )
| ( q4 @ SV7 @ SY38 @ SY38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(60,plain,
! [SV8: $i] :
( ( ! [SY40: $i] :
( ! [SY41: $i] :
~ ( q3 @ SV8 @ SY40 @ SY41 )
| ( q4 @ SV8 @ SY40 @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(61,plain,
! [SV9: $i] :
( ( less_or_equalish @ SV9 @ SV9 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(62,plain,
! [SV10: $i] :
( ( ! [SY42: $i] :
( ~ ( less_or_equalish @ SV10 @ SY42 )
| ~ ( less_or_equalish @ SY42 @ SV10 )
| ( equalish @ SV10 @ SY42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(63,plain,
! [SV11: $i] :
( ( ! [SY43: $i] :
( ~ ( less_or_equalish @ SV11 @ SY43 )
| ! [SY44: $i] :
( ~ ( less_or_equalish @ SY43 @ SY44 )
| ( less_or_equalish @ SV11 @ SY44 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(64,plain,
! [SV12: $i] :
( ( ! [SY45: $i] :
( ( less_or_equalish @ SV12 @ SY45 )
| ( less_or_equalish @ SY45 @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(65,plain,
! [SV13: $i] :
( ( ! [SY46: $i] :
( ( less_or_equalish @ SV13 @ SY46 )
| ~ ( equalish @ SV13 @ SY46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(66,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(67,plain,
! [SV1: $i] :
( ( ( ~ ( q4 @ a @ b @ SV1 ) )
= $true )
| ( ( ~ ( less_or_equalish @ a @ SV1 )
| ~ ( less_or_equalish @ b @ SV1 )
| ~ ( less_or_equalish @ SV1 @ a ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(68,plain,
! [SV2: $i] :
( ( ( ~ ( q4 @ a @ b @ SV2 ) )
= $true )
| ( ( ~ ( less_or_equalish @ a @ SV2 )
| ~ ( less_or_equalish @ b @ SV2 )
| ~ ( less_or_equalish @ SV2 @ b ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(69,plain,
! [SV14: $i,SV3: $i] :
( ( ~ ( equalish @ SV3 @ SV14 )
| ! [SY47: $i] :
( ~ ( less_or_equalish @ SV3 @ SY47 )
| ( less_or_equalish @ SV14 @ SY47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(70,plain,
! [SV15: $i,SV4: $i] :
( ( ~ ( equalish @ SV4 @ SV15 )
| ! [SY48: $i] :
( ~ ( less_or_equalish @ SY48 @ SV4 )
| ( less_or_equalish @ SY48 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(71,plain,
! [SV16: $i,SV5: $i] :
( ( ! [SY49: $i] :
( ~ ( q1 @ SV5 @ SV16 @ SY49 )
| ~ ( less_or_equalish @ SV5 @ SV16 )
| ( q2 @ SV5 @ SV16 @ SY49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(72,plain,
! [SV17: $i,SV6: $i] :
( ( ! [SY50: $i] :
( ~ ( q1 @ SV6 @ SV17 @ SY50 )
| ( less_or_equalish @ SV6 @ SV17 )
| ( q3 @ SV6 @ SV17 @ SY50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(73,plain,
! [SV18: $i,SV7: $i] :
( ( ! [SY51: $i] :
~ ( q2 @ SV7 @ SV18 @ SY51 )
| ( q4 @ SV7 @ SV18 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(74,plain,
! [SV19: $i,SV8: $i] :
( ( ! [SY52: $i] :
~ ( q3 @ SV8 @ SV19 @ SY52 )
| ( q4 @ SV8 @ SV19 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(75,plain,
! [SV20: $i,SV10: $i] :
( ( ~ ( less_or_equalish @ SV10 @ SV20 )
| ~ ( less_or_equalish @ SV20 @ SV10 )
| ( equalish @ SV10 @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(76,plain,
! [SV21: $i,SV11: $i] :
( ( ~ ( less_or_equalish @ SV11 @ SV21 )
| ! [SY53: $i] :
( ~ ( less_or_equalish @ SV21 @ SY53 )
| ( less_or_equalish @ SV11 @ SY53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(77,plain,
! [SV22: $i,SV12: $i] :
( ( ( less_or_equalish @ SV12 @ SV22 )
| ( less_or_equalish @ SV22 @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(78,plain,
! [SV23: $i,SV13: $i] :
( ( ( less_or_equalish @ SV13 @ SV23 )
| ~ ( equalish @ SV13 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(79,plain,
! [SV1: $i] :
( ( ( q4 @ a @ b @ SV1 )
= $false )
| ( ( ~ ( less_or_equalish @ a @ SV1 )
| ~ ( less_or_equalish @ b @ SV1 )
| ~ ( less_or_equalish @ SV1 @ a ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(80,plain,
! [SV2: $i] :
( ( ( q4 @ a @ b @ SV2 )
= $false )
| ( ( ~ ( less_or_equalish @ a @ SV2 )
| ~ ( less_or_equalish @ b @ SV2 )
| ~ ( less_or_equalish @ SV2 @ b ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(81,plain,
! [SV14: $i,SV3: $i] :
( ( ( ~ ( equalish @ SV3 @ SV14 ) )
= $true )
| ( ( ! [SY47: $i] :
( ~ ( less_or_equalish @ SV3 @ SY47 )
| ( less_or_equalish @ SV14 @ SY47 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(82,plain,
! [SV15: $i,SV4: $i] :
( ( ( ~ ( equalish @ SV4 @ SV15 ) )
= $true )
| ( ( ! [SY48: $i] :
( ~ ( less_or_equalish @ SY48 @ SV4 )
| ( less_or_equalish @ SY48 @ SV15 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(83,plain,
! [SV24: $i,SV16: $i,SV5: $i] :
( ( ~ ( q1 @ SV5 @ SV16 @ SV24 )
| ~ ( less_or_equalish @ SV5 @ SV16 )
| ( q2 @ SV5 @ SV16 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(84,plain,
! [SV25: $i,SV17: $i,SV6: $i] :
( ( ~ ( q1 @ SV6 @ SV17 @ SV25 )
| ( less_or_equalish @ SV6 @ SV17 )
| ( q3 @ SV6 @ SV17 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(85,plain,
! [SV18: $i,SV7: $i] :
( ( ( ! [SY51: $i] :
~ ( q2 @ SV7 @ SV18 @ SY51 ) )
= $true )
| ( ( q4 @ SV7 @ SV18 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(86,plain,
! [SV19: $i,SV8: $i] :
( ( ( ! [SY52: $i] :
~ ( q3 @ SV8 @ SV19 @ SY52 ) )
= $true )
| ( ( q4 @ SV8 @ SV19 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(87,plain,
! [SV20: $i,SV10: $i] :
( ( ( ~ ( less_or_equalish @ SV10 @ SV20 ) )
= $true )
| ( ( ~ ( less_or_equalish @ SV20 @ SV10 )
| ( equalish @ SV10 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(88,plain,
! [SV21: $i,SV11: $i] :
( ( ( ~ ( less_or_equalish @ SV11 @ SV21 ) )
= $true )
| ( ( ! [SY53: $i] :
( ~ ( less_or_equalish @ SV21 @ SY53 )
| ( less_or_equalish @ SV11 @ SY53 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(89,plain,
! [SV22: $i,SV12: $i] :
( ( ( less_or_equalish @ SV12 @ SV22 )
= $true )
| ( ( less_or_equalish @ SV22 @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(90,plain,
! [SV23: $i,SV13: $i] :
( ( ( less_or_equalish @ SV13 @ SV23 )
= $true )
| ( ( ~ ( equalish @ SV13 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(91,plain,
! [SV1: $i] :
( ( ( ~ ( less_or_equalish @ a @ SV1 ) )
= $true )
| ( ( ~ ( less_or_equalish @ b @ SV1 )
| ~ ( less_or_equalish @ SV1 @ a ) )
= $true )
| ( ( q4 @ a @ b @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(92,plain,
! [SV2: $i] :
( ( ( ~ ( less_or_equalish @ a @ SV2 ) )
= $true )
| ( ( ~ ( less_or_equalish @ b @ SV2 )
| ~ ( less_or_equalish @ SV2 @ b ) )
= $true )
| ( ( q4 @ a @ b @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(93,plain,
! [SV14: $i,SV3: $i] :
( ( ( equalish @ SV3 @ SV14 )
= $false )
| ( ( ! [SY47: $i] :
( ~ ( less_or_equalish @ SV3 @ SY47 )
| ( less_or_equalish @ SV14 @ SY47 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(94,plain,
! [SV15: $i,SV4: $i] :
( ( ( equalish @ SV4 @ SV15 )
= $false )
| ( ( ! [SY48: $i] :
( ~ ( less_or_equalish @ SY48 @ SV4 )
| ( less_or_equalish @ SY48 @ SV15 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(95,plain,
! [SV24: $i,SV16: $i,SV5: $i] :
( ( ( ~ ( q1 @ SV5 @ SV16 @ SV24 ) )
= $true )
| ( ( ~ ( less_or_equalish @ SV5 @ SV16 )
| ( q2 @ SV5 @ SV16 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(96,plain,
! [SV25: $i,SV17: $i,SV6: $i] :
( ( ( ~ ( q1 @ SV6 @ SV17 @ SV25 ) )
= $true )
| ( ( ( less_or_equalish @ SV6 @ SV17 )
| ( q3 @ SV6 @ SV17 @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(97,plain,
! [SV26: $i,SV18: $i,SV7: $i] :
( ( ( ~ ( q2 @ SV7 @ SV18 @ SV26 ) )
= $true )
| ( ( q4 @ SV7 @ SV18 @ SV18 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(98,plain,
! [SV27: $i,SV19: $i,SV8: $i] :
( ( ( ~ ( q3 @ SV8 @ SV19 @ SV27 ) )
= $true )
| ( ( q4 @ SV8 @ SV19 @ SV8 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(99,plain,
! [SV20: $i,SV10: $i] :
( ( ( less_or_equalish @ SV10 @ SV20 )
= $false )
| ( ( ~ ( less_or_equalish @ SV20 @ SV10 )
| ( equalish @ SV10 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(100,plain,
! [SV21: $i,SV11: $i] :
( ( ( less_or_equalish @ SV11 @ SV21 )
= $false )
| ( ( ! [SY53: $i] :
( ~ ( less_or_equalish @ SV21 @ SY53 )
| ( less_or_equalish @ SV11 @ SY53 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(101,plain,
! [SV23: $i,SV13: $i] :
( ( ( equalish @ SV13 @ SV23 )
= $false )
| ( ( less_or_equalish @ SV13 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(102,plain,
! [SV1: $i] :
( ( ( less_or_equalish @ a @ SV1 )
= $false )
| ( ( ~ ( less_or_equalish @ b @ SV1 )
| ~ ( less_or_equalish @ SV1 @ a ) )
= $true )
| ( ( q4 @ a @ b @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(103,plain,
! [SV2: $i] :
( ( ( less_or_equalish @ a @ SV2 )
= $false )
| ( ( ~ ( less_or_equalish @ b @ SV2 )
| ~ ( less_or_equalish @ SV2 @ b ) )
= $true )
| ( ( q4 @ a @ b @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(104,plain,
! [SV14: $i,SV28: $i,SV3: $i] :
( ( ( ~ ( less_or_equalish @ SV3 @ SV28 )
| ( less_or_equalish @ SV14 @ SV28 ) )
= $true )
| ( ( equalish @ SV3 @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(105,plain,
! [SV15: $i,SV4: $i,SV29: $i] :
( ( ( ~ ( less_or_equalish @ SV29 @ SV4 )
| ( less_or_equalish @ SV29 @ SV15 ) )
= $true )
| ( ( equalish @ SV4 @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(106,plain,
! [SV24: $i,SV16: $i,SV5: $i] :
( ( ( q1 @ SV5 @ SV16 @ SV24 )
= $false )
| ( ( ~ ( less_or_equalish @ SV5 @ SV16 )
| ( q2 @ SV5 @ SV16 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(107,plain,
! [SV25: $i,SV17: $i,SV6: $i] :
( ( ( q1 @ SV6 @ SV17 @ SV25 )
= $false )
| ( ( ( less_or_equalish @ SV6 @ SV17 )
| ( q3 @ SV6 @ SV17 @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(108,plain,
! [SV26: $i,SV18: $i,SV7: $i] :
( ( ( q2 @ SV7 @ SV18 @ SV26 )
= $false )
| ( ( q4 @ SV7 @ SV18 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(109,plain,
! [SV27: $i,SV19: $i,SV8: $i] :
( ( ( q3 @ SV8 @ SV19 @ SV27 )
= $false )
| ( ( q4 @ SV8 @ SV19 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(110,plain,
! [SV10: $i,SV20: $i] :
( ( ( ~ ( less_or_equalish @ SV20 @ SV10 ) )
= $true )
| ( ( equalish @ SV10 @ SV20 )
= $true )
| ( ( less_or_equalish @ SV10 @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(111,plain,
! [SV11: $i,SV30: $i,SV21: $i] :
( ( ( ~ ( less_or_equalish @ SV21 @ SV30 )
| ( less_or_equalish @ SV11 @ SV30 ) )
= $true )
| ( ( less_or_equalish @ SV11 @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(112,plain,
! [SV1: $i] :
( ( ( ~ ( less_or_equalish @ b @ SV1 ) )
= $true )
| ( ( ~ ( less_or_equalish @ SV1 @ a ) )
= $true )
| ( ( less_or_equalish @ a @ SV1 )
= $false )
| ( ( q4 @ a @ b @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(113,plain,
! [SV2: $i] :
( ( ( ~ ( less_or_equalish @ b @ SV2 ) )
= $true )
| ( ( ~ ( less_or_equalish @ SV2 @ b ) )
= $true )
| ( ( less_or_equalish @ a @ SV2 )
= $false )
| ( ( q4 @ a @ b @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(114,plain,
! [SV14: $i,SV28: $i,SV3: $i] :
( ( ( ~ ( less_or_equalish @ SV3 @ SV28 ) )
= $true )
| ( ( less_or_equalish @ SV14 @ SV28 )
= $true )
| ( ( equalish @ SV3 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(115,plain,
! [SV15: $i,SV4: $i,SV29: $i] :
( ( ( ~ ( less_or_equalish @ SV29 @ SV4 ) )
= $true )
| ( ( less_or_equalish @ SV29 @ SV15 )
= $true )
| ( ( equalish @ SV4 @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(116,plain,
! [SV24: $i,SV16: $i,SV5: $i] :
( ( ( ~ ( less_or_equalish @ SV5 @ SV16 ) )
= $true )
| ( ( q2 @ SV5 @ SV16 @ SV24 )
= $true )
| ( ( q1 @ SV5 @ SV16 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(117,plain,
! [SV25: $i,SV17: $i,SV6: $i] :
( ( ( less_or_equalish @ SV6 @ SV17 )
= $true )
| ( ( q3 @ SV6 @ SV17 @ SV25 )
= $true )
| ( ( q1 @ SV6 @ SV17 @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(118,plain,
! [SV10: $i,SV20: $i] :
( ( ( less_or_equalish @ SV20 @ SV10 )
= $false )
| ( ( equalish @ SV10 @ SV20 )
= $true )
| ( ( less_or_equalish @ SV10 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(119,plain,
! [SV11: $i,SV30: $i,SV21: $i] :
( ( ( ~ ( less_or_equalish @ SV21 @ SV30 ) )
= $true )
| ( ( less_or_equalish @ SV11 @ SV30 )
= $true )
| ( ( less_or_equalish @ SV11 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(120,plain,
! [SV1: $i] :
( ( ( less_or_equalish @ b @ SV1 )
= $false )
| ( ( ~ ( less_or_equalish @ SV1 @ a ) )
= $true )
| ( ( less_or_equalish @ a @ SV1 )
= $false )
| ( ( q4 @ a @ b @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(121,plain,
! [SV2: $i] :
( ( ( less_or_equalish @ b @ SV2 )
= $false )
| ( ( ~ ( less_or_equalish @ SV2 @ b ) )
= $true )
| ( ( less_or_equalish @ a @ SV2 )
= $false )
| ( ( q4 @ a @ b @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(122,plain,
! [SV14: $i,SV28: $i,SV3: $i] :
( ( ( less_or_equalish @ SV3 @ SV28 )
= $false )
| ( ( less_or_equalish @ SV14 @ SV28 )
= $true )
| ( ( equalish @ SV3 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(123,plain,
! [SV15: $i,SV4: $i,SV29: $i] :
( ( ( less_or_equalish @ SV29 @ SV4 )
= $false )
| ( ( less_or_equalish @ SV29 @ SV15 )
= $true )
| ( ( equalish @ SV4 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(124,plain,
! [SV24: $i,SV16: $i,SV5: $i] :
( ( ( less_or_equalish @ SV5 @ SV16 )
= $false )
| ( ( q2 @ SV5 @ SV16 @ SV24 )
= $true )
| ( ( q1 @ SV5 @ SV16 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(125,plain,
! [SV11: $i,SV30: $i,SV21: $i] :
( ( ( less_or_equalish @ SV21 @ SV30 )
= $false )
| ( ( less_or_equalish @ SV11 @ SV30 )
= $true )
| ( ( less_or_equalish @ SV11 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(126,plain,
! [SV1: $i] :
( ( ( less_or_equalish @ SV1 @ a )
= $false )
| ( ( less_or_equalish @ b @ SV1 )
= $false )
| ( ( less_or_equalish @ a @ SV1 )
= $false )
| ( ( q4 @ a @ b @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(127,plain,
! [SV2: $i] :
( ( ( less_or_equalish @ SV2 @ b )
= $false )
| ( ( less_or_equalish @ b @ SV2 )
= $false )
| ( ( less_or_equalish @ a @ SV2 )
= $false )
| ( ( q4 @ a @ b @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(128,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[38,127,126,125,124,123,122,118,117,109,108,101,89,66,61]) ).
thf(129,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jun 14 23:40:20 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.36
% 0.21/0.36 No.of.Axioms: 14
% 0.21/0.36
% 0.21/0.36 Length.of.Defs: 0
% 0.21/0.36
% 0.21/0.36 Contains.Choice.Funs: false
% 0.21/0.37 (rf:0,axioms:14,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:16,loop_count:0,foatp_calls:0,translation:fof_full)......
% 0.21/0.44
% 0.21/0.44 ********************************
% 0.21/0.44 * All subproblems solved! *
% 0.21/0.44 ********************************
% 0.21/0.44 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:14,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:128,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.21/0.44
% 0.21/0.44 %**** Beginning of derivation protocol ****
% 0.21/0.44 % SZS output start CNFRefutation
% See solution above
% 0.21/0.44
% 0.21/0.44 %**** End of derivation protocol ****
% 0.21/0.44 %**** no. of clauses in derivation: 129 ****
% 0.21/0.44 %**** clause counter: 128 ****
% 0.21/0.44
% 0.21/0.44 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:14,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:128,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------