TSTP Solution File: SWV558-1.007 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWV558-1.007 : 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 : n007.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 20:13:42 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 75
% Syntax : Number of formulae : 176 ( 129 unt; 39 typ; 0 def)
% Number of atoms : 368 ( 254 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 536 ( 6 ~; 19 |; 0 &; 511 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 42 ( 39 usr; 39 con; 0-3 aty)
% Number of variables : 142 ( 0 ^ 142 !; 0 ?; 142 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a1,type,
a1: $i ).
thf(tp_a2,type,
a2: $i ).
thf(tp_a_29,type,
a_29: $i ).
thf(tp_a_31,type,
a_31: $i ).
thf(tp_a_33,type,
a_33: $i ).
thf(tp_a_35,type,
a_35: $i ).
thf(tp_a_37,type,
a_37: $i ).
thf(tp_a_39,type,
a_39: $i ).
thf(tp_a_41,type,
a_41: $i ).
thf(tp_a_43,type,
a_43: $i ).
thf(tp_a_45,type,
a_45: $i ).
thf(tp_a_47,type,
a_47: $i ).
thf(tp_a_49,type,
a_49: $i ).
thf(tp_a_51,type,
a_51: $i ).
thf(tp_a_53,type,
a_53: $i ).
thf(tp_a_55,type,
a_55: $i ).
thf(tp_e_28,type,
e_28: $i ).
thf(tp_e_30,type,
e_30: $i ).
thf(tp_e_32,type,
e_32: $i ).
thf(tp_e_34,type,
e_34: $i ).
thf(tp_e_36,type,
e_36: $i ).
thf(tp_e_38,type,
e_38: $i ).
thf(tp_e_40,type,
e_40: $i ).
thf(tp_e_42,type,
e_42: $i ).
thf(tp_e_44,type,
e_44: $i ).
thf(tp_e_46,type,
e_46: $i ).
thf(tp_e_48,type,
e_48: $i ).
thf(tp_e_50,type,
e_50: $i ).
thf(tp_e_52,type,
e_52: $i ).
thf(tp_e_54,type,
e_54: $i ).
thf(tp_i1,type,
i1: $i ).
thf(tp_i2,type,
i2: $i ).
thf(tp_i3,type,
i3: $i ).
thf(tp_i4,type,
i4: $i ).
thf(tp_i5,type,
i5: $i ).
thf(tp_i6,type,
i6: $i ).
thf(tp_i7,type,
i7: $i ).
thf(tp_select,type,
select: $i > $i > $i ).
thf(tp_store,type,
store: $i > $i > $i > $i ).
thf(1,axiom,
! [I: $i,J: $i,A: $i,E: $i,F: $i] :
( ( I = J )
| ( ( store @ ( store @ A @ I @ E ) @ J @ F )
= ( store @ ( store @ A @ J @ F ) @ I @ E ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5) ).
thf(2,axiom,
! [A: $i,I: $i,E: $i,F: $i] :
( ( store @ ( store @ A @ I @ E ) @ I @ F )
= ( store @ A @ I @ F ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4) ).
thf(3,axiom,
! [A: $i,I: $i] :
( ( store @ A @ I @ ( select @ A @ I ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).
thf(4,axiom,
! [I: $i,J: $i,A: $i,E: $i] :
( ( I = J )
| ( ( select @ ( store @ A @ I @ E ) @ J )
= ( select @ A @ J ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).
thf(5,axiom,
! [A: $i,I: $i,E: $i] :
( ( select @ ( store @ A @ I @ E ) @ I )
= E ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).
thf(6,axiom,
a_53 = a_55,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp28) ).
thf(7,axiom,
( e_54
= ( select @ a_49 @ i7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp27) ).
thf(8,axiom,
( e_52
= ( select @ a_51 @ i7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp26) ).
thf(9,axiom,
( e_50
= ( select @ a_45 @ i6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp25) ).
thf(10,axiom,
( e_48
= ( select @ a_47 @ i6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp24) ).
thf(11,axiom,
( e_46
= ( select @ a_41 @ i5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp23) ).
thf(12,axiom,
( e_44
= ( select @ a_43 @ i5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp22) ).
thf(13,axiom,
( e_42
= ( select @ a_37 @ i4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp21) ).
thf(14,axiom,
( e_40
= ( select @ a_39 @ i4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp20) ).
thf(15,axiom,
( e_38
= ( select @ a_33 @ i3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp19) ).
thf(16,axiom,
( e_36
= ( select @ a_35 @ i3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp18) ).
thf(17,axiom,
( e_34
= ( select @ a_29 @ i2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp17) ).
thf(18,axiom,
( e_32
= ( select @ a_31 @ i2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp16) ).
thf(19,axiom,
( e_30
= ( select @ a1 @ i1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp15) ).
thf(20,axiom,
( e_28
= ( select @ a2 @ i1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp14) ).
thf(21,axiom,
( a_55
= ( store @ a_51 @ i7 @ e_54 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp13) ).
thf(22,axiom,
( a_53
= ( store @ a_49 @ i7 @ e_52 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).
thf(23,axiom,
( a_51
= ( store @ a_47 @ i6 @ e_50 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp11) ).
thf(24,axiom,
( a_49
= ( store @ a_45 @ i6 @ e_48 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).
thf(25,axiom,
( a_47
= ( store @ a_43 @ i5 @ e_46 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).
thf(26,axiom,
( a_45
= ( store @ a_41 @ i5 @ e_44 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).
thf(27,axiom,
( a_43
= ( store @ a_39 @ i4 @ e_42 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).
thf(28,axiom,
( a_41
= ( store @ a_37 @ i4 @ e_40 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).
thf(29,axiom,
( a_39
= ( store @ a_35 @ i3 @ e_38 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).
thf(30,axiom,
( a_37
= ( store @ a_33 @ i3 @ e_36 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).
thf(31,axiom,
( a_35
= ( store @ a_31 @ i2 @ e_34 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).
thf(32,axiom,
( a_33
= ( store @ a_29 @ i2 @ e_32 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).
thf(33,axiom,
( a_31
= ( store @ a2 @ i1 @ e_30 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp1) ).
thf(34,axiom,
( a_29
= ( store @ a1 @ i1 @ e_28 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp0) ).
thf(35,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(36,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[35]) ).
thf(37,negated_conjecture,
a1 != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
thf(38,plain,
$false = $false,
inference(unfold_def,[status(thm)],[36]) ).
thf(39,plain,
( ( ! [I: $i,J: $i,A: $i,E: $i,F: $i] :
( ( I = J )
| ( ( store @ ( store @ A @ I @ E ) @ J @ F )
= ( store @ ( store @ A @ J @ F ) @ I @ E ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(40,plain,
( ( ! [A: $i,I: $i,E: $i,F: $i] :
( ( store @ ( store @ A @ I @ E ) @ I @ F )
= ( store @ A @ I @ F ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(41,plain,
( ( ! [A: $i,I: $i] :
( ( store @ A @ I @ ( select @ A @ I ) )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(42,plain,
( ( ! [I: $i,J: $i,A: $i,E: $i] :
( ( I = J )
| ( ( select @ ( store @ A @ I @ E ) @ J )
= ( select @ A @ J ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(43,plain,
( ( ! [A: $i,I: $i,E: $i] :
( ( select @ ( store @ A @ I @ E ) @ I )
= E ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(44,plain,
( ( a_53 = a_55 )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(45,plain,
( ( e_54
= ( select @ a_49 @ i7 ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(46,plain,
( ( e_52
= ( select @ a_51 @ i7 ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(47,plain,
( ( e_50
= ( select @ a_45 @ i6 ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(48,plain,
( ( e_48
= ( select @ a_47 @ i6 ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(49,plain,
( ( e_46
= ( select @ a_41 @ i5 ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(50,plain,
( ( e_44
= ( select @ a_43 @ i5 ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(51,plain,
( ( e_42
= ( select @ a_37 @ i4 ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(52,plain,
( ( e_40
= ( select @ a_39 @ i4 ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(53,plain,
( ( e_38
= ( select @ a_33 @ i3 ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(54,plain,
( ( e_36
= ( select @ a_35 @ i3 ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(55,plain,
( ( e_34
= ( select @ a_29 @ i2 ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(56,plain,
( ( e_32
= ( select @ a_31 @ i2 ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(57,plain,
( ( e_30
= ( select @ a1 @ i1 ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(58,plain,
( ( e_28
= ( select @ a2 @ i1 ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(59,plain,
( ( a_55
= ( store @ a_51 @ i7 @ e_54 ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(60,plain,
( ( a_53
= ( store @ a_49 @ i7 @ e_52 ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(61,plain,
( ( a_51
= ( store @ a_47 @ i6 @ e_50 ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(62,plain,
( ( a_49
= ( store @ a_45 @ i6 @ e_48 ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(63,plain,
( ( a_47
= ( store @ a_43 @ i5 @ e_46 ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(64,plain,
( ( a_45
= ( store @ a_41 @ i5 @ e_44 ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(65,plain,
( ( a_43
= ( store @ a_39 @ i4 @ e_42 ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(66,plain,
( ( a_41
= ( store @ a_37 @ i4 @ e_40 ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(67,plain,
( ( a_39
= ( store @ a_35 @ i3 @ e_38 ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(68,plain,
( ( a_37
= ( store @ a_33 @ i3 @ e_36 ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(69,plain,
( ( a_35
= ( store @ a_31 @ i2 @ e_34 ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(70,plain,
( ( a_33
= ( store @ a_29 @ i2 @ e_32 ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(71,plain,
( ( a_31
= ( store @ a2 @ i1 @ e_30 ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(72,plain,
( ( a_29
= ( store @ a1 @ i1 @ e_28 ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(73,plain,
( ( ( a1 != a2 ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(74,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[38]) ).
thf(75,plain,
( ( ! [I: $i,J: $i,A: $i] :
( ( I = J )
| ! [E: $i,F: $i] :
( ( store @ ( store @ A @ I @ E ) @ J @ F )
= ( store @ ( store @ A @ J @ F ) @ I @ E ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[39]) ).
thf(76,plain,
( ( ! [I: $i,J: $i] :
( ( I = J )
| ! [A: $i,E: $i] :
( ( select @ ( store @ A @ I @ E ) @ J )
= ( select @ A @ J ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[42]) ).
thf(77,plain,
( ( ( a1 != a2 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[73]) ).
thf(78,plain,
( ( ( a1 != a2 ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(79,plain,
( ( a_29
= ( store @ a1 @ i1 @ e_28 ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(80,plain,
( ( a_31
= ( store @ a2 @ i1 @ e_30 ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(81,plain,
( ( a_33
= ( store @ a_29 @ i2 @ e_32 ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(82,plain,
( ( a_35
= ( store @ a_31 @ i2 @ e_34 ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(83,plain,
( ( a_37
= ( store @ a_33 @ i3 @ e_36 ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(84,plain,
( ( a_39
= ( store @ a_35 @ i3 @ e_38 ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(85,plain,
( ( a_41
= ( store @ a_37 @ i4 @ e_40 ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(86,plain,
( ( a_43
= ( store @ a_39 @ i4 @ e_42 ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(87,plain,
( ( a_45
= ( store @ a_41 @ i5 @ e_44 ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(88,plain,
( ( a_47
= ( store @ a_43 @ i5 @ e_46 ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(89,plain,
( ( a_49
= ( store @ a_45 @ i6 @ e_48 ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(90,plain,
( ( a_51
= ( store @ a_47 @ i6 @ e_50 ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(91,plain,
( ( a_53
= ( store @ a_49 @ i7 @ e_52 ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(92,plain,
( ( a_55
= ( store @ a_51 @ i7 @ e_54 ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(93,plain,
( ( e_28
= ( select @ a2 @ i1 ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(94,plain,
( ( e_30
= ( select @ a1 @ i1 ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(95,plain,
( ( e_32
= ( select @ a_31 @ i2 ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(96,plain,
( ( e_34
= ( select @ a_29 @ i2 ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(97,plain,
( ( e_36
= ( select @ a_35 @ i3 ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(98,plain,
( ( e_38
= ( select @ a_33 @ i3 ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(99,plain,
( ( e_40
= ( select @ a_39 @ i4 ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(100,plain,
( ( e_42
= ( select @ a_37 @ i4 ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(101,plain,
( ( e_44
= ( select @ a_43 @ i5 ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(102,plain,
( ( e_46
= ( select @ a_41 @ i5 ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(103,plain,
( ( e_48
= ( select @ a_47 @ i6 ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(104,plain,
( ( e_50
= ( select @ a_45 @ i6 ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(105,plain,
( ( e_52
= ( select @ a_51 @ i7 ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(106,plain,
( ( e_54
= ( select @ a_49 @ i7 ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(107,plain,
( ( a_53 = a_55 )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(108,plain,
( ( ! [A: $i,I: $i,E: $i] :
( ( select @ ( store @ A @ I @ E ) @ I )
= E ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(109,plain,
( ( ! [I: $i,J: $i] :
( ( I = J )
| ! [A: $i,E: $i] :
( ( select @ ( store @ A @ I @ E ) @ J )
= ( select @ A @ J ) ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(110,plain,
( ( ! [A: $i,I: $i] :
( ( store @ A @ I @ ( select @ A @ I ) )
= A ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(111,plain,
( ( ! [A: $i,I: $i,E: $i,F: $i] :
( ( store @ ( store @ A @ I @ E ) @ I @ F )
= ( store @ A @ I @ F ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(112,plain,
( ( ! [I: $i,J: $i,A: $i] :
( ( I = J )
| ! [E: $i,F: $i] :
( ( store @ ( store @ A @ I @ E ) @ J @ F )
= ( store @ ( store @ A @ J @ F ) @ I @ E ) ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(113,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(114,plain,
( ( a1 = a2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(115,plain,
! [SV1: $i] :
( ( ! [SY18: $i,SY19: $i] :
( ( select @ ( store @ SV1 @ SY18 @ SY19 ) @ SY18 )
= SY19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(116,plain,
! [SV2: $i] :
( ( ! [SY20: $i] :
( ( SV2 = SY20 )
| ! [SY21: $i,SY22: $i] :
( ( select @ ( store @ SY21 @ SV2 @ SY22 ) @ SY20 )
= ( select @ SY21 @ SY20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(117,plain,
! [SV3: $i] :
( ( ! [SY23: $i] :
( ( store @ SV3 @ SY23 @ ( select @ SV3 @ SY23 ) )
= SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(118,plain,
! [SV4: $i] :
( ( ! [SY24: $i,SY25: $i,SY26: $i] :
( ( store @ ( store @ SV4 @ SY24 @ SY25 ) @ SY24 @ SY26 )
= ( store @ SV4 @ SY24 @ SY26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(119,plain,
! [SV5: $i] :
( ( ! [SY27: $i,SY28: $i] :
( ( SV5 = SY27 )
| ! [SY29: $i,SY30: $i] :
( ( store @ ( store @ SY28 @ SV5 @ SY29 ) @ SY27 @ SY30 )
= ( store @ ( store @ SY28 @ SY27 @ SY30 ) @ SV5 @ SY29 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(120,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(121,plain,
! [SV6: $i,SV1: $i] :
( ( ! [SY31: $i] :
( ( select @ ( store @ SV1 @ SV6 @ SY31 ) @ SV6 )
= SY31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(122,plain,
! [SV7: $i,SV2: $i] :
( ( ( SV2 = SV7 )
| ! [SY32: $i,SY33: $i] :
( ( select @ ( store @ SY32 @ SV2 @ SY33 ) @ SV7 )
= ( select @ SY32 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(123,plain,
! [SV8: $i,SV3: $i] :
( ( ( store @ SV3 @ SV8 @ ( select @ SV3 @ SV8 ) )
= SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(124,plain,
! [SV9: $i,SV4: $i] :
( ( ! [SY34: $i,SY35: $i] :
( ( store @ ( store @ SV4 @ SV9 @ SY34 ) @ SV9 @ SY35 )
= ( store @ SV4 @ SV9 @ SY35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(125,plain,
! [SV10: $i,SV5: $i] :
( ( ! [SY36: $i] :
( ( SV5 = SV10 )
| ! [SY37: $i,SY38: $i] :
( ( store @ ( store @ SY36 @ SV5 @ SY37 ) @ SV10 @ SY38 )
= ( store @ ( store @ SY36 @ SV10 @ SY38 ) @ SV5 @ SY37 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(126,plain,
! [SV11: $i,SV6: $i,SV1: $i] :
( ( ( select @ ( store @ SV1 @ SV6 @ SV11 ) @ SV6 )
= SV11 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(127,plain,
! [SV7: $i,SV2: $i] :
( ( ( SV2 = SV7 )
= $true )
| ( ( ! [SY32: $i,SY33: $i] :
( ( select @ ( store @ SY32 @ SV2 @ SY33 ) @ SV7 )
= ( select @ SY32 @ SV7 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(128,plain,
! [SV12: $i,SV9: $i,SV4: $i] :
( ( ! [SY39: $i] :
( ( store @ ( store @ SV4 @ SV9 @ SV12 ) @ SV9 @ SY39 )
= ( store @ SV4 @ SV9 @ SY39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(129,plain,
! [SV13: $i,SV10: $i,SV5: $i] :
( ( ( SV5 = SV10 )
| ! [SY40: $i,SY41: $i] :
( ( store @ ( store @ SV13 @ SV5 @ SY40 ) @ SV10 @ SY41 )
= ( store @ ( store @ SV13 @ SV10 @ SY41 ) @ SV5 @ SY40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(130,plain,
! [SV7: $i,SV2: $i,SV14: $i] :
( ( ( ! [SY42: $i] :
( ( select @ ( store @ SV14 @ SV2 @ SY42 ) @ SV7 )
= ( select @ SV14 @ SV7 ) ) )
= $true )
| ( ( SV2 = SV7 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(131,plain,
! [SV15: $i,SV12: $i,SV9: $i,SV4: $i] :
( ( ( store @ ( store @ SV4 @ SV9 @ SV12 ) @ SV9 @ SV15 )
= ( store @ SV4 @ SV9 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(132,plain,
! [SV13: $i,SV10: $i,SV5: $i] :
( ( ( SV5 = SV10 )
= $true )
| ( ( ! [SY40: $i,SY41: $i] :
( ( store @ ( store @ SV13 @ SV5 @ SY40 ) @ SV10 @ SY41 )
= ( store @ ( store @ SV13 @ SV10 @ SY41 ) @ SV5 @ SY40 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(133,plain,
! [SV7: $i,SV16: $i,SV2: $i,SV14: $i] :
( ( ( ( select @ ( store @ SV14 @ SV2 @ SV16 ) @ SV7 )
= ( select @ SV14 @ SV7 ) )
= $true )
| ( ( SV2 = SV7 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(134,plain,
! [SV10: $i,SV17: $i,SV5: $i,SV13: $i] :
( ( ( ! [SY43: $i] :
( ( store @ ( store @ SV13 @ SV5 @ SV17 ) @ SV10 @ SY43 )
= ( store @ ( store @ SV13 @ SV10 @ SY43 ) @ SV5 @ SV17 ) ) )
= $true )
| ( ( SV5 = SV10 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(135,plain,
! [SV18: $i,SV10: $i,SV17: $i,SV5: $i,SV13: $i] :
( ( ( ( store @ ( store @ SV13 @ SV5 @ SV17 ) @ SV10 @ SV18 )
= ( store @ ( store @ SV13 @ SV10 @ SV18 ) @ SV5 @ SV17 ) )
= $true )
| ( ( SV5 = SV10 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(136,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[79,135,133,131,126,123,120,114,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80]) ).
thf(137,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV558-1.007 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 22:09:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.36
% 0.12/0.36 No.of.Axioms: 35
% 0.12/0.36
% 0.12/0.36 Length.of.Defs: 0
% 0.12/0.36
% 0.12/0.36 Contains.Choice.Funs: false
% 0.12/0.37 (rf:0,axioms:35,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:37,loop_count:0,foatp_calls:0,translation:fof_full)....
% 0.20/0.53
% 0.20/0.53 ********************************
% 0.20/0.53 * All subproblems solved! *
% 0.20/0.53 ********************************
% 0.20/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:35,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:136,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.36/0.53
% 0.36/0.53 %**** Beginning of derivation protocol ****
% 0.36/0.53 % SZS output start CNFRefutation
% See solution above
% 0.36/0.53
% 0.36/0.53 %**** End of derivation protocol ****
% 0.36/0.53 %**** no. of clauses in derivation: 137 ****
% 0.36/0.53 %**** clause counter: 136 ****
% 0.36/0.53
% 0.36/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:35,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:136,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------