%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : CAT003-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:10:39 AM UTC 2026
% Result : Unsatisfiable 73.55s 14.93s
% Output : CNFRefutation 73.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 24
% Syntax : Number of formulae : 202 ( 117 unt; 0 typ; 0 def)
% Number of atoms : 1159 ( 321 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 2044 ( 291 ~; 371 |; 0 &;1382 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 8 con; 0-3 aty)
% Number of variables : 659 ( 0 ^; 659 !; 0 ?; 659 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $i ).
thf(tp_b,type,
b: $i ).
thf(tp_c,type,
c: $i ).
thf(tp_codomain,type,
codomain: $i > $i ).
thf(tp_compose,type,
compose: $i > $i > $i ).
thf(tp_d,type,
d: $i ).
thf(tp_defined,type,
defined: $i > $i > $o ).
thf(tp_domain,type,
domain: $i > $i ).
thf(tp_g,type,
g: $i ).
thf(tp_h,type,
h: $i ).
thf(tp_identity_map,type,
identity_map: $i > $o ).
thf(tp_product,type,
product: $i > $i > $i > $o ).
thf(1,axiom,
! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( product @ X @ Y @ Z )
| ~ ( product @ X @ Y @ W )
| ( Z = W ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_is_well_defined) ).
thf(2,axiom,
! [X: $i,Y: $i] :
( ~ ( defined @ X @ Y )
| ~ ( identity_map @ Y )
| ( product @ X @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity2) ).
thf(3,axiom,
! [X: $i,Y: $i] :
( ~ ( defined @ X @ Y )
| ~ ( identity_map @ X )
| ( product @ X @ Y @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity1) ).
thf(4,axiom,
! [X: $i] : ( product @ ( codomain @ X ) @ X @ X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_on_codomain) ).
thf(5,axiom,
! [X: $i] : ( product @ X @ ( domain @ X ) @ X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_on_domain) ).
thf(6,axiom,
! [X: $i] : ( defined @ ( codomain @ X ) @ X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mapping_from_codomain_of_x_to_x) ).
thf(7,axiom,
! [X: $i] : ( defined @ X @ ( domain @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mapping_from_x_to_its_domain) ).
thf(8,axiom,
! [X: $i] : ( identity_map @ ( codomain @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain_is_an_identity_map) ).
thf(9,axiom,
! [X: $i] : ( identity_map @ ( domain @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_is_an_identity_map) ).
thf(10,axiom,
! [X: $i,Y: $i,Z: $i] :
( ~ ( defined @ X @ Y )
| ~ ( defined @ Y @ Z )
| ~ ( identity_map @ Y )
| ( defined @ X @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',category_theory_axiom6) ).
thf(11,axiom,
! [Y: $i,Z: $i,Yz: $i,X: $i,Xyz: $i,Xy: $i] :
( ~ ( product @ Y @ Z @ Yz )
| ~ ( product @ X @ Yz @ Xyz )
| ~ ( product @ X @ Y @ Xy )
| ( product @ Xy @ Z @ Xyz ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',category_theory_axiom5) ).
thf(12,axiom,
! [Y: $i,Z: $i,Yz: $i,X: $i,Xy: $i] :
( ~ ( product @ Y @ Z @ Yz )
| ~ ( product @ X @ Y @ Xy )
| ~ ( defined @ X @ Yz )
| ( defined @ Xy @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',category_theory_axiom4) ).
thf(13,axiom,
! [Y: $i,Z: $i,Yz: $i,X: $i] :
( ~ ( product @ Y @ Z @ Yz )
| ~ ( defined @ X @ Yz )
| ( defined @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',category_theory_axiom3) ).
thf(14,axiom,
! [X: $i,Y: $i,Xy: $i,Z: $i,Xyz: $i,Yz: $i] :
( ~ ( product @ X @ Y @ Xy )
| ~ ( product @ Xy @ Z @ Xyz )
| ~ ( product @ Y @ Z @ Yz )
| ( product @ X @ Yz @ Xyz ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',category_theory_axiom2) ).
thf(15,axiom,
! [X: $i,Y: $i,Xy: $i,Z: $i,Yz: $i] :
( ~ ( product @ X @ Y @ Xy )
| ~ ( product @ Y @ Z @ Yz )
| ~ ( defined @ Xy @ Z )
| ( defined @ X @ Yz ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',category_theory_axiom1) ).
thf(16,axiom,
! [X: $i,Y: $i,Xy: $i,Z: $i] :
( ~ ( product @ X @ Y @ Xy )
| ~ ( defined @ Xy @ Z )
| ( defined @ Y @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_property2) ).
thf(17,axiom,
! [X: $i,Y: $i,Z: $i] :
( ~ ( product @ X @ Y @ Z )
| ( defined @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_property1) ).
thf(18,axiom,
! [X: $i,Y: $i] :
( ~ ( defined @ X @ Y )
| ( product @ X @ Y @ ( compose @ X @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_composition) ).
thf(19,axiom,
product @ g @ a @ d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ga_equals_d) ).
thf(20,axiom,
product @ h @ a @ d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ha_equals_d) ).
thf(21,axiom,
! [X: $i,W: $i,Y: $i] :
( ~ ( product @ X @ c @ W )
| ~ ( product @ Y @ c @ W )
| ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_product) ).
thf(22,axiom,
product @ a @ b @ c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_equals_c) ).
thf(23,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(24,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[23]) ).
thf(25,negated_conjecture,
h != g,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_h_equals_g) ).
thf(26,plain,
$false = $false,
inference(unfold_def,[status(thm)],[24]) ).
thf(27,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( product @ X @ Y @ Z )
| ~ ( product @ X @ Y @ W )
| ( Z = W ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(28,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( defined @ X @ Y )
| ~ ( identity_map @ Y )
| ( product @ X @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(29,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( defined @ X @ Y )
| ~ ( identity_map @ X )
| ( product @ X @ Y @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(30,plain,
( ( ! [X: $i] : ( product @ ( codomain @ X ) @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(31,plain,
( ( ! [X: $i] : ( product @ X @ ( domain @ X ) @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(32,plain,
( ( ! [X: $i] : ( defined @ ( codomain @ X ) @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(33,plain,
( ( ! [X: $i] : ( defined @ X @ ( domain @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(34,plain,
( ( ! [X: $i] : ( identity_map @ ( codomain @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(35,plain,
( ( ! [X: $i] : ( identity_map @ ( domain @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(36,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( defined @ X @ Y )
| ~ ( defined @ Y @ Z )
| ~ ( identity_map @ Y )
| ( defined @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(37,plain,
( ( ! [Y: $i,Z: $i,Yz: $i,X: $i,Xyz: $i,Xy: $i] :
( ~ ( product @ Y @ Z @ Yz )
| ~ ( product @ X @ Yz @ Xyz )
| ~ ( product @ X @ Y @ Xy )
| ( product @ Xy @ Z @ Xyz ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(38,plain,
( ( ! [Y: $i,Z: $i,Yz: $i,X: $i,Xy: $i] :
( ~ ( product @ Y @ Z @ Yz )
| ~ ( product @ X @ Y @ Xy )
| ~ ( defined @ X @ Yz )
| ( defined @ Xy @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(39,plain,
( ( ! [Y: $i,Z: $i,Yz: $i,X: $i] :
( ~ ( product @ Y @ Z @ Yz )
| ~ ( defined @ X @ Yz )
| ( defined @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(40,plain,
( ( ! [X: $i,Y: $i,Xy: $i,Z: $i,Xyz: $i,Yz: $i] :
( ~ ( product @ X @ Y @ Xy )
| ~ ( product @ Xy @ Z @ Xyz )
| ~ ( product @ Y @ Z @ Yz )
| ( product @ X @ Yz @ Xyz ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(41,plain,
( ( ! [X: $i,Y: $i,Xy: $i,Z: $i,Yz: $i] :
( ~ ( product @ X @ Y @ Xy )
| ~ ( product @ Y @ Z @ Yz )
| ~ ( defined @ Xy @ Z )
| ( defined @ X @ Yz ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(42,plain,
( ( ! [X: $i,Y: $i,Xy: $i,Z: $i] :
( ~ ( product @ X @ Y @ Xy )
| ~ ( defined @ Xy @ Z )
| ( defined @ Y @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(43,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( product @ X @ Y @ Z )
| ( defined @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(44,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( defined @ X @ Y )
| ( product @ X @ Y @ ( compose @ X @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(45,plain,
( ( product @ g @ a @ d )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(46,plain,
( ( product @ h @ a @ d )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(47,plain,
( ( ! [X: $i,W: $i,Y: $i] :
( ~ ( product @ X @ c @ W )
| ~ ( product @ Y @ c @ W )
| ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(48,plain,
( ( product @ a @ b @ c )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(49,plain,
( ( h != g )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(50,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[26]) ).
thf(51,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( product @ X @ Y @ Z )
| ! [W: $i] :
( ~ ( product @ X @ Y @ W )
| ( Z = W ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(52,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( defined @ X @ Y )
| ! [Z: $i] :
( ~ ( defined @ Y @ Z )
| ~ ( identity_map @ Y )
| ( defined @ X @ Z ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[36]) ).
thf(53,plain,
( ( ! [Y: $i,Z: $i,Yz: $i,X: $i] :
( ~ ( product @ Y @ Z @ Yz )
| ! [Xyz: $i] :
( ~ ( product @ X @ Yz @ Xyz )
| ! [Xy: $i] :
( ~ ( product @ X @ Y @ Xy )
| ( product @ Xy @ Z @ Xyz ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[37]) ).
thf(54,plain,
( ( ! [Y: $i,Z: $i,Yz: $i] :
( ~ ( product @ Y @ Z @ Yz )
| ! [X: $i,Xy: $i] :
( ~ ( product @ X @ Y @ Xy )
| ~ ( defined @ X @ Yz )
| ( defined @ Xy @ Z ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[38]) ).
thf(55,plain,
( ( ! [Y: $i,Z: $i,Yz: $i] :
( ~ ( product @ Y @ Z @ Yz )
| ! [X: $i] :
( ~ ( defined @ X @ Yz )
| ( defined @ X @ Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[39]) ).
thf(56,plain,
( ( ! [X: $i,Y: $i,Xy: $i,Z: $i] :
( ~ ( product @ X @ Y @ Xy )
| ! [Xyz: $i] :
( ~ ( product @ Xy @ Z @ Xyz )
| ! [Yz: $i] :
( ~ ( product @ Y @ Z @ Yz )
| ( product @ X @ Yz @ Xyz ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[40]) ).
thf(57,plain,
( ( ! [X: $i,Y: $i,Xy: $i] :
( ~ ( product @ X @ Y @ Xy )
| ! [Z: $i,Yz: $i] :
( ~ ( product @ Y @ Z @ Yz )
| ~ ( defined @ Xy @ Z )
| ( defined @ X @ Yz ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[41]) ).
thf(58,plain,
( ( ! [X: $i,Y: $i,Xy: $i] :
( ~ ( product @ X @ Y @ Xy )
| ! [Z: $i] :
( ~ ( defined @ Xy @ Z )
| ( defined @ Y @ Z ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[42]) ).
thf(59,plain,
( ( ! [X: $i,Y: $i] :
( ! [Z: $i] :
~ ( product @ X @ Y @ Z )
| ( defined @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[43]) ).
thf(60,plain,
( ( ! [X: $i,W: $i] :
( ~ ( product @ X @ c @ W )
| ! [Y: $i] :
( ~ ( product @ Y @ c @ W )
| ( X = Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[47]) ).
thf(61,plain,
( ( h != g )
= $true ),
inference(extcnf_combined,[status(esa)],[49]) ).
thf(62,plain,
( ( h != g )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(63,plain,
( ( product @ a @ b @ c )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(64,plain,
( ( ! [X: $i,W: $i] :
( ~ ( product @ X @ c @ W )
| ! [Y: $i] :
( ~ ( product @ Y @ c @ W )
| ( X = Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(65,plain,
( ( product @ h @ a @ d )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(66,plain,
( ( product @ g @ a @ d )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(67,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( defined @ X @ Y )
| ( product @ X @ Y @ ( compose @ X @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(68,plain,
( ( ! [X: $i,Y: $i] :
( ! [Z: $i] :
~ ( product @ X @ Y @ Z )
| ( defined @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(69,plain,
( ( ! [X: $i,Y: $i,Xy: $i] :
( ~ ( product @ X @ Y @ Xy )
| ! [Z: $i] :
( ~ ( defined @ Xy @ Z )
| ( defined @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(70,plain,
( ( ! [X: $i,Y: $i,Xy: $i] :
( ~ ( product @ X @ Y @ Xy )
| ! [Z: $i,Yz: $i] :
( ~ ( product @ Y @ Z @ Yz )
| ~ ( defined @ Xy @ Z )
| ( defined @ X @ Yz ) ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(71,plain,
( ( ! [X: $i,Y: $i,Xy: $i,Z: $i] :
( ~ ( product @ X @ Y @ Xy )
| ! [Xyz: $i] :
( ~ ( product @ Xy @ Z @ Xyz )
| ! [Yz: $i] :
( ~ ( product @ Y @ Z @ Yz )
| ( product @ X @ Yz @ Xyz ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(72,plain,
( ( ! [Y: $i,Z: $i,Yz: $i] :
( ~ ( product @ Y @ Z @ Yz )
| ! [X: $i] :
( ~ ( defined @ X @ Yz )
| ( defined @ X @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(73,plain,
( ( ! [Y: $i,Z: $i,Yz: $i] :
( ~ ( product @ Y @ Z @ Yz )
| ! [X: $i,Xy: $i] :
( ~ ( product @ X @ Y @ Xy )
| ~ ( defined @ X @ Yz )
| ( defined @ Xy @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(74,plain,
( ( ! [Y: $i,Z: $i,Yz: $i,X: $i] :
( ~ ( product @ Y @ Z @ Yz )
| ! [Xyz: $i] :
( ~ ( product @ X @ Yz @ Xyz )
| ! [Xy: $i] :
( ~ ( product @ X @ Y @ Xy )
| ( product @ Xy @ Z @ Xyz ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(75,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( defined @ X @ Y )
| ! [Z: $i] :
( ~ ( defined @ Y @ Z )
| ~ ( identity_map @ Y )
| ( defined @ X @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(76,plain,
( ( ! [X: $i] : ( identity_map @ ( domain @ X ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(77,plain,
( ( ! [X: $i] : ( identity_map @ ( codomain @ X ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(78,plain,
( ( ! [X: $i] : ( defined @ X @ ( domain @ X ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(79,plain,
( ( ! [X: $i] : ( defined @ ( codomain @ X ) @ X ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(80,plain,
( ( ! [X: $i] : ( product @ X @ ( domain @ X ) @ X ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(81,plain,
( ( ! [X: $i] : ( product @ ( codomain @ X ) @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(82,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( defined @ X @ Y )
| ~ ( identity_map @ X )
| ( product @ X @ Y @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(83,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( defined @ X @ Y )
| ~ ( identity_map @ Y )
| ( product @ X @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(84,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( product @ X @ Y @ Z )
| ! [W: $i] :
( ~ ( product @ X @ Y @ W )
| ( Z = W ) ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(85,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[50]) ).
thf(86,plain,
( ( h = g )
= $false ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(87,plain,
! [SV1: $i] :
( ( ! [SY55: $i] :
( ~ ( product @ SV1 @ c @ SY55 )
| ! [SY56: $i] :
( ~ ( product @ SY56 @ c @ SY55 )
| ( SV1 = SY56 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(88,plain,
! [SV2: $i] :
( ( ! [SY57: $i] :
( ~ ( defined @ SV2 @ SY57 )
| ( product @ SV2 @ SY57 @ ( compose @ SV2 @ SY57 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(89,plain,
! [SV3: $i] :
( ( ! [SY58: $i] :
( ! [SY59: $i] :
~ ( product @ SV3 @ SY58 @ SY59 )
| ( defined @ SV3 @ SY58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(90,plain,
! [SV4: $i] :
( ( ! [SY60: $i,SY61: $i] :
( ~ ( product @ SV4 @ SY60 @ SY61 )
| ! [Z: $i] :
( ~ ( defined @ SY61 @ Z )
| ( defined @ SY60 @ Z ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(91,plain,
! [SV5: $i] :
( ( ! [SY63: $i,SY64: $i] :
( ~ ( product @ SV5 @ SY63 @ SY64 )
| ! [SY65: $i,SY66: $i] :
( ~ ( product @ SY63 @ SY65 @ SY66 )
| ~ ( defined @ SY64 @ SY65 )
| ( defined @ SV5 @ SY66 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(92,plain,
! [SV6: $i] :
( ( ! [SY67: $i,SY68: $i,SY69: $i] :
( ~ ( product @ SV6 @ SY67 @ SY68 )
| ! [SY70: $i] :
( ~ ( product @ SY68 @ SY69 @ SY70 )
| ! [SY71: $i] :
( ~ ( product @ SY67 @ SY69 @ SY71 )
| ( product @ SV6 @ SY71 @ SY70 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(93,plain,
! [SV7: $i] :
( ( ! [SY72: $i,SY73: $i] :
( ~ ( product @ SV7 @ SY72 @ SY73 )
| ! [SY74: $i] :
( ~ ( defined @ SY74 @ SY73 )
| ( defined @ SY74 @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(94,plain,
! [SV8: $i] :
( ( ! [SY75: $i,SY76: $i] :
( ~ ( product @ SV8 @ SY75 @ SY76 )
| ! [SY77: $i,SY78: $i] :
( ~ ( product @ SY77 @ SV8 @ SY78 )
| ~ ( defined @ SY77 @ SY76 )
| ( defined @ SY78 @ SY75 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(95,plain,
! [SV9: $i] :
( ( ! [SY79: $i,SY80: $i,SY81: $i] :
( ~ ( product @ SV9 @ SY79 @ SY80 )
| ! [SY82: $i] :
( ~ ( product @ SY81 @ SY80 @ SY82 )
| ! [SY83: $i] :
( ~ ( product @ SY81 @ SV9 @ SY83 )
| ( product @ SY83 @ SY79 @ SY82 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(96,plain,
! [SV10: $i] :
( ( ! [SY84: $i] :
( ~ ( defined @ SV10 @ SY84 )
| ! [SY85: $i] :
( ~ ( defined @ SY84 @ SY85 )
| ~ ( identity_map @ SY84 )
| ( defined @ SV10 @ SY85 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(97,plain,
! [SV11: $i] :
( ( identity_map @ ( domain @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(98,plain,
! [SV12: $i] :
( ( identity_map @ ( codomain @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(99,plain,
! [SV13: $i] :
( ( defined @ SV13 @ ( domain @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(100,plain,
! [SV14: $i] :
( ( defined @ ( codomain @ SV14 ) @ SV14 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(101,plain,
! [SV15: $i] :
( ( product @ SV15 @ ( domain @ SV15 ) @ SV15 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(102,plain,
! [SV16: $i] :
( ( product @ ( codomain @ SV16 ) @ SV16 @ SV16 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(103,plain,
! [SV17: $i] :
( ( ! [SY86: $i] :
( ~ ( defined @ SV17 @ SY86 )
| ~ ( identity_map @ SV17 )
| ( product @ SV17 @ SY86 @ SY86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(104,plain,
! [SV18: $i] :
( ( ! [SY87: $i] :
( ~ ( defined @ SV18 @ SY87 )
| ~ ( identity_map @ SY87 )
| ( product @ SV18 @ SY87 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(105,plain,
! [SV19: $i] :
( ( ! [SY88: $i,SY89: $i] :
( ~ ( product @ SV19 @ SY88 @ SY89 )
| ! [SY90: $i] :
( ~ ( product @ SV19 @ SY88 @ SY90 )
| ( SY89 = SY90 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(106,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(107,plain,
! [SV20: $i,SV1: $i] :
( ( ~ ( product @ SV1 @ c @ SV20 )
| ! [SY91: $i] :
( ~ ( product @ SY91 @ c @ SV20 )
| ( SV1 = SY91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(108,plain,
! [SV21: $i,SV2: $i] :
( ( ~ ( defined @ SV2 @ SV21 )
| ( product @ SV2 @ SV21 @ ( compose @ SV2 @ SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(109,plain,
! [SV22: $i,SV3: $i] :
( ( ! [SY92: $i] :
~ ( product @ SV3 @ SV22 @ SY92 )
| ( defined @ SV3 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(110,plain,
! [SV23: $i,SV4: $i] :
( ( ! [SY93: $i] :
( ~ ( product @ SV4 @ SV23 @ SY93 )
| ! [SY94: $i] :
( ~ ( defined @ SY93 @ SY94 )
| ( defined @ SV23 @ SY94 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(111,plain,
! [SV24: $i,SV5: $i] :
( ( ! [SY95: $i] :
( ~ ( product @ SV5 @ SV24 @ SY95 )
| ! [SY96: $i,SY97: $i] :
( ~ ( product @ SV24 @ SY96 @ SY97 )
| ~ ( defined @ SY95 @ SY96 )
| ( defined @ SV5 @ SY97 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(112,plain,
! [SV25: $i,SV6: $i] :
( ( ! [SY98: $i,SY99: $i] :
( ~ ( product @ SV6 @ SV25 @ SY98 )
| ! [SY100: $i] :
( ~ ( product @ SY98 @ SY99 @ SY100 )
| ! [SY101: $i] :
( ~ ( product @ SV25 @ SY99 @ SY101 )
| ( product @ SV6 @ SY101 @ SY100 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(113,plain,
! [SV26: $i,SV7: $i] :
( ( ! [SY102: $i] :
( ~ ( product @ SV7 @ SV26 @ SY102 )
| ! [SY74: $i] :
( ~ ( defined @ SY74 @ SY102 )
| ( defined @ SY74 @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(114,plain,
! [SV27: $i,SV8: $i] :
( ( ! [SY104: $i] :
( ~ ( product @ SV8 @ SV27 @ SY104 )
| ! [SY105: $i,SY106: $i] :
( ~ ( product @ SY105 @ SV8 @ SY106 )
| ~ ( defined @ SY105 @ SY104 )
| ( defined @ SY106 @ SV27 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(115,plain,
! [SV28: $i,SV9: $i] :
( ( ! [SY107: $i,SY108: $i] :
( ~ ( product @ SV9 @ SV28 @ SY107 )
| ! [SY109: $i] :
( ~ ( product @ SY108 @ SY107 @ SY109 )
| ! [SY110: $i] :
( ~ ( product @ SY108 @ SV9 @ SY110 )
| ( product @ SY110 @ SV28 @ SY109 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(116,plain,
! [SV29: $i,SV10: $i] :
( ( ~ ( defined @ SV10 @ SV29 )
| ! [SY111: $i] :
( ~ ( defined @ SV29 @ SY111 )
| ~ ( identity_map @ SV29 )
| ( defined @ SV10 @ SY111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(117,plain,
! [SV30: $i,SV17: $i] :
( ( ~ ( defined @ SV17 @ SV30 )
| ~ ( identity_map @ SV17 )
| ( product @ SV17 @ SV30 @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(118,plain,
! [SV31: $i,SV18: $i] :
( ( ~ ( defined @ SV18 @ SV31 )
| ~ ( identity_map @ SV31 )
| ( product @ SV18 @ SV31 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(119,plain,
! [SV32: $i,SV19: $i] :
( ( ! [SY112: $i] :
( ~ ( product @ SV19 @ SV32 @ SY112 )
| ! [SY113: $i] :
( ~ ( product @ SV19 @ SV32 @ SY113 )
| ( SY112 = SY113 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(120,plain,
! [SV20: $i,SV1: $i] :
( ( ( ~ ( product @ SV1 @ c @ SV20 ) )
= $true )
| ( ( ! [SY91: $i] :
( ~ ( product @ SY91 @ c @ SV20 )
| ( SV1 = SY91 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(121,plain,
! [SV21: $i,SV2: $i] :
( ( ( ~ ( defined @ SV2 @ SV21 ) )
= $true )
| ( ( product @ SV2 @ SV21 @ ( compose @ SV2 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(122,plain,
! [SV22: $i,SV3: $i] :
( ( ( ! [SY92: $i] :
~ ( product @ SV3 @ SV22 @ SY92 ) )
= $true )
| ( ( defined @ SV3 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(123,plain,
! [SV33: $i,SV23: $i,SV4: $i] :
( ( ~ ( product @ SV4 @ SV23 @ SV33 )
| ! [SY114: $i] :
( ~ ( defined @ SV33 @ SY114 )
| ( defined @ SV23 @ SY114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(124,plain,
! [SV34: $i,SV24: $i,SV5: $i] :
( ( ~ ( product @ SV5 @ SV24 @ SV34 )
| ! [SY115: $i,SY116: $i] :
( ~ ( product @ SV24 @ SY115 @ SY116 )
| ~ ( defined @ SV34 @ SY115 )
| ( defined @ SV5 @ SY116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(125,plain,
! [SV35: $i,SV25: $i,SV6: $i] :
( ( ! [SY117: $i] :
( ~ ( product @ SV6 @ SV25 @ SV35 )
| ! [SY118: $i] :
( ~ ( product @ SV35 @ SY117 @ SY118 )
| ! [SY101: $i] :
( ~ ( product @ SV25 @ SY117 @ SY101 )
| ( product @ SV6 @ SY101 @ SY118 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(126,plain,
! [SV36: $i,SV26: $i,SV7: $i] :
( ( ~ ( product @ SV7 @ SV26 @ SV36 )
| ! [SY120: $i] :
( ~ ( defined @ SY120 @ SV36 )
| ( defined @ SY120 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(127,plain,
! [SV37: $i,SV27: $i,SV8: $i] :
( ( ~ ( product @ SV8 @ SV27 @ SV37 )
| ! [SY121: $i,SY122: $i] :
( ~ ( product @ SY121 @ SV8 @ SY122 )
| ~ ( defined @ SY121 @ SV37 )
| ( defined @ SY122 @ SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(128,plain,
! [SV38: $i,SV28: $i,SV9: $i] :
( ( ! [SY123: $i] :
( ~ ( product @ SV9 @ SV28 @ SV38 )
| ! [SY124: $i] :
( ~ ( product @ SY123 @ SV38 @ SY124 )
| ! [SY110: $i] :
( ~ ( product @ SY123 @ SV9 @ SY110 )
| ( product @ SY110 @ SV28 @ SY124 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(129,plain,
! [SV29: $i,SV10: $i] :
( ( ( ~ ( defined @ SV10 @ SV29 ) )
= $true )
| ( ( ! [SY111: $i] :
( ~ ( defined @ SV29 @ SY111 )
| ~ ( identity_map @ SV29 )
| ( defined @ SV10 @ SY111 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(130,plain,
! [SV30: $i,SV17: $i] :
( ( ( ~ ( defined @ SV17 @ SV30 ) )
= $true )
| ( ( ~ ( identity_map @ SV17 )
| ( product @ SV17 @ SV30 @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(131,plain,
! [SV31: $i,SV18: $i] :
( ( ( ~ ( defined @ SV18 @ SV31 ) )
= $true )
| ( ( ~ ( identity_map @ SV31 )
| ( product @ SV18 @ SV31 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(132,plain,
! [SV39: $i,SV32: $i,SV19: $i] :
( ( ~ ( product @ SV19 @ SV32 @ SV39 )
| ! [SY126: $i] :
( ~ ( product @ SV19 @ SV32 @ SY126 )
| ( SV39 = SY126 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(133,plain,
! [SV20: $i,SV1: $i] :
( ( ( product @ SV1 @ c @ SV20 )
= $false )
| ( ( ! [SY91: $i] :
( ~ ( product @ SY91 @ c @ SV20 )
| ( SV1 = SY91 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(134,plain,
! [SV21: $i,SV2: $i] :
( ( ( defined @ SV2 @ SV21 )
= $false )
| ( ( product @ SV2 @ SV21 @ ( compose @ SV2 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(135,plain,
! [SV40: $i,SV22: $i,SV3: $i] :
( ( ( ~ ( product @ SV3 @ SV22 @ SV40 ) )
= $true )
| ( ( defined @ SV3 @ SV22 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(136,plain,
! [SV33: $i,SV23: $i,SV4: $i] :
( ( ( ~ ( product @ SV4 @ SV23 @ SV33 ) )
= $true )
| ( ( ! [SY114: $i] :
( ~ ( defined @ SV33 @ SY114 )
| ( defined @ SV23 @ SY114 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(137,plain,
! [SV34: $i,SV24: $i,SV5: $i] :
( ( ( ~ ( product @ SV5 @ SV24 @ SV34 ) )
= $true )
| ( ( ! [SY115: $i,SY116: $i] :
( ~ ( product @ SV24 @ SY115 @ SY116 )
| ~ ( defined @ SV34 @ SY115 )
| ( defined @ SV5 @ SY116 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(138,plain,
! [SV41: $i,SV35: $i,SV25: $i,SV6: $i] :
( ( ~ ( product @ SV6 @ SV25 @ SV35 )
| ! [SY127: $i] :
( ~ ( product @ SV35 @ SV41 @ SY127 )
| ! [SY128: $i] :
( ~ ( product @ SV25 @ SV41 @ SY128 )
| ( product @ SV6 @ SY128 @ SY127 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(139,plain,
! [SV36: $i,SV26: $i,SV7: $i] :
( ( ( ~ ( product @ SV7 @ SV26 @ SV36 ) )
= $true )
| ( ( ! [SY120: $i] :
( ~ ( defined @ SY120 @ SV36 )
| ( defined @ SY120 @ SV7 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(140,plain,
! [SV37: $i,SV27: $i,SV8: $i] :
( ( ( ~ ( product @ SV8 @ SV27 @ SV37 ) )
= $true )
| ( ( ! [SY121: $i,SY122: $i] :
( ~ ( product @ SY121 @ SV8 @ SY122 )
| ~ ( defined @ SY121 @ SV37 )
| ( defined @ SY122 @ SV27 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(141,plain,
! [SV42: $i,SV38: $i,SV28: $i,SV9: $i] :
( ( ~ ( product @ SV9 @ SV28 @ SV38 )
| ! [SY129: $i] :
( ~ ( product @ SV42 @ SV38 @ SY129 )
| ! [SY130: $i] :
( ~ ( product @ SV42 @ SV9 @ SY130 )
| ( product @ SY130 @ SV28 @ SY129 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(142,plain,
! [SV29: $i,SV10: $i] :
( ( ( defined @ SV10 @ SV29 )
= $false )
| ( ( ! [SY111: $i] :
( ~ ( defined @ SV29 @ SY111 )
| ~ ( identity_map @ SV29 )
| ( defined @ SV10 @ SY111 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(143,plain,
! [SV30: $i,SV17: $i] :
( ( ( defined @ SV17 @ SV30 )
= $false )
| ( ( ~ ( identity_map @ SV17 )
| ( product @ SV17 @ SV30 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(144,plain,
! [SV31: $i,SV18: $i] :
( ( ( defined @ SV18 @ SV31 )
= $false )
| ( ( ~ ( identity_map @ SV31 )
| ( product @ SV18 @ SV31 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(145,plain,
! [SV39: $i,SV32: $i,SV19: $i] :
( ( ( ~ ( product @ SV19 @ SV32 @ SV39 ) )
= $true )
| ( ( ! [SY126: $i] :
( ~ ( product @ SV19 @ SV32 @ SY126 )
| ( SV39 = SY126 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(146,plain,
! [SV1: $i,SV20: $i,SV43: $i] :
( ( ( ~ ( product @ SV43 @ c @ SV20 )
| ( SV1 = SV43 ) )
= $true )
| ( ( product @ SV1 @ c @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(147,plain,
! [SV40: $i,SV22: $i,SV3: $i] :
( ( ( product @ SV3 @ SV22 @ SV40 )
= $false )
| ( ( defined @ SV3 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(148,plain,
! [SV33: $i,SV23: $i,SV4: $i] :
( ( ( product @ SV4 @ SV23 @ SV33 )
= $false )
| ( ( ! [SY114: $i] :
( ~ ( defined @ SV33 @ SY114 )
| ( defined @ SV23 @ SY114 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(149,plain,
! [SV34: $i,SV24: $i,SV5: $i] :
( ( ( product @ SV5 @ SV24 @ SV34 )
= $false )
| ( ( ! [SY115: $i,SY116: $i] :
( ~ ( product @ SV24 @ SY115 @ SY116 )
| ~ ( defined @ SV34 @ SY115 )
| ( defined @ SV5 @ SY116 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(150,plain,
! [SV41: $i,SV35: $i,SV25: $i,SV6: $i] :
( ( ( ~ ( product @ SV6 @ SV25 @ SV35 ) )
= $true )
| ( ( ! [SY127: $i] :
( ~ ( product @ SV35 @ SV41 @ SY127 )
| ! [SY128: $i] :
( ~ ( product @ SV25 @ SV41 @ SY128 )
| ( product @ SV6 @ SY128 @ SY127 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(151,plain,
! [SV36: $i,SV26: $i,SV7: $i] :
( ( ( product @ SV7 @ SV26 @ SV36 )
= $false )
| ( ( ! [SY120: $i] :
( ~ ( defined @ SY120 @ SV36 )
| ( defined @ SY120 @ SV7 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(152,plain,
! [SV37: $i,SV27: $i,SV8: $i] :
( ( ( product @ SV8 @ SV27 @ SV37 )
= $false )
| ( ( ! [SY121: $i,SY122: $i] :
( ~ ( product @ SY121 @ SV8 @ SY122 )
| ~ ( defined @ SY121 @ SV37 )
| ( defined @ SY122 @ SV27 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(153,plain,
! [SV42: $i,SV38: $i,SV28: $i,SV9: $i] :
( ( ( ~ ( product @ SV9 @ SV28 @ SV38 ) )
= $true )
| ( ( ! [SY129: $i] :
( ~ ( product @ SV42 @ SV38 @ SY129 )
| ! [SY130: $i] :
( ~ ( product @ SV42 @ SV9 @ SY130 )
| ( product @ SY130 @ SV28 @ SY129 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(154,plain,
! [SV10: $i,SV44: $i,SV29: $i] :
( ( ( ~ ( defined @ SV29 @ SV44 )
| ~ ( identity_map @ SV29 )
| ( defined @ SV10 @ SV44 ) )
= $true )
| ( ( defined @ SV10 @ SV29 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(155,plain,
! [SV30: $i,SV17: $i] :
( ( ( ~ ( identity_map @ SV17 ) )
= $true )
| ( ( product @ SV17 @ SV30 @ SV30 )
= $true )
| ( ( defined @ SV17 @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(156,plain,
! [SV18: $i,SV31: $i] :
( ( ( ~ ( identity_map @ SV31 ) )
= $true )
| ( ( product @ SV18 @ SV31 @ SV18 )
= $true )
| ( ( defined @ SV18 @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(157,plain,
! [SV39: $i,SV32: $i,SV19: $i] :
( ( ( product @ SV19 @ SV32 @ SV39 )
= $false )
| ( ( ! [SY126: $i] :
( ~ ( product @ SV19 @ SV32 @ SY126 )
| ( SV39 = SY126 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(158,plain,
! [SV1: $i,SV20: $i,SV43: $i] :
( ( ( ~ ( product @ SV43 @ c @ SV20 ) )
= $true )
| ( ( SV1 = SV43 )
= $true )
| ( ( product @ SV1 @ c @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(159,plain,
! [SV4: $i,SV23: $i,SV45: $i,SV33: $i] :
( ( ( ~ ( defined @ SV33 @ SV45 )
| ( defined @ SV23 @ SV45 ) )
= $true )
| ( ( product @ SV4 @ SV23 @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(160,plain,
! [SV5: $i,SV34: $i,SV46: $i,SV24: $i] :
( ( ( ! [SY131: $i] :
( ~ ( product @ SV24 @ SV46 @ SY131 )
| ~ ( defined @ SV34 @ SV46 )
| ( defined @ SV5 @ SY131 ) ) )
= $true )
| ( ( product @ SV5 @ SV24 @ SV34 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(161,plain,
! [SV41: $i,SV35: $i,SV25: $i,SV6: $i] :
( ( ( product @ SV6 @ SV25 @ SV35 )
= $false )
| ( ( ! [SY127: $i] :
( ~ ( product @ SV35 @ SV41 @ SY127 )
| ! [SY128: $i] :
( ~ ( product @ SV25 @ SV41 @ SY128 )
| ( product @ SV6 @ SY128 @ SY127 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(162,plain,
! [SV26: $i,SV7: $i,SV36: $i,SV47: $i] :
( ( ( ~ ( defined @ SV47 @ SV36 )
| ( defined @ SV47 @ SV7 ) )
= $true )
| ( ( product @ SV7 @ SV26 @ SV36 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(163,plain,
! [SV27: $i,SV37: $i,SV8: $i,SV48: $i] :
( ( ( ! [SY132: $i] :
( ~ ( product @ SV48 @ SV8 @ SY132 )
| ~ ( defined @ SV48 @ SV37 )
| ( defined @ SY132 @ SV27 ) ) )
= $true )
| ( ( product @ SV8 @ SV27 @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(164,plain,
! [SV42: $i,SV38: $i,SV28: $i,SV9: $i] :
( ( ( product @ SV9 @ SV28 @ SV38 )
= $false )
| ( ( ! [SY129: $i] :
( ~ ( product @ SV42 @ SV38 @ SY129 )
| ! [SY130: $i] :
( ~ ( product @ SV42 @ SV9 @ SY130 )
| ( product @ SY130 @ SV28 @ SY129 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(165,plain,
! [SV10: $i,SV44: $i,SV29: $i] :
( ( ( ~ ( defined @ SV29 @ SV44 ) )
= $true )
| ( ( ~ ( identity_map @ SV29 )
| ( defined @ SV10 @ SV44 ) )
= $true )
| ( ( defined @ SV10 @ SV29 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(166,plain,
! [SV30: $i,SV17: $i] :
( ( ( identity_map @ SV17 )
= $false )
| ( ( product @ SV17 @ SV30 @ SV30 )
= $true )
| ( ( defined @ SV17 @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(167,plain,
! [SV18: $i,SV31: $i] :
( ( ( identity_map @ SV31 )
= $false )
| ( ( product @ SV18 @ SV31 @ SV18 )
= $true )
| ( ( defined @ SV18 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(168,plain,
! [SV39: $i,SV49: $i,SV32: $i,SV19: $i] :
( ( ( ~ ( product @ SV19 @ SV32 @ SV49 )
| ( SV39 = SV49 ) )
= $true )
| ( ( product @ SV19 @ SV32 @ SV39 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(169,plain,
! [SV1: $i,SV20: $i,SV43: $i] :
( ( ( product @ SV43 @ c @ SV20 )
= $false )
| ( ( SV1 = SV43 )
= $true )
| ( ( product @ SV1 @ c @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(170,plain,
! [SV4: $i,SV23: $i,SV45: $i,SV33: $i] :
( ( ( ~ ( defined @ SV33 @ SV45 ) )
= $true )
| ( ( defined @ SV23 @ SV45 )
= $true )
| ( ( product @ SV4 @ SV23 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(171,plain,
! [SV5: $i,SV34: $i,SV50: $i,SV46: $i,SV24: $i] :
( ( ( ~ ( product @ SV24 @ SV46 @ SV50 )
| ~ ( defined @ SV34 @ SV46 )
| ( defined @ SV5 @ SV50 ) )
= $true )
| ( ( product @ SV5 @ SV24 @ SV34 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(172,plain,
! [SV6: $i,SV25: $i,SV51: $i,SV41: $i,SV35: $i] :
( ( ( ~ ( product @ SV35 @ SV41 @ SV51 )
| ! [SY133: $i] :
( ~ ( product @ SV25 @ SV41 @ SY133 )
| ( product @ SV6 @ SY133 @ SV51 ) ) )
= $true )
| ( ( product @ SV6 @ SV25 @ SV35 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(173,plain,
! [SV26: $i,SV7: $i,SV36: $i,SV47: $i] :
( ( ( ~ ( defined @ SV47 @ SV36 ) )
= $true )
| ( ( defined @ SV47 @ SV7 )
= $true )
| ( ( product @ SV7 @ SV26 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(174,plain,
! [SV27: $i,SV37: $i,SV52: $i,SV8: $i,SV48: $i] :
( ( ( ~ ( product @ SV48 @ SV8 @ SV52 )
| ~ ( defined @ SV48 @ SV37 )
| ( defined @ SV52 @ SV27 ) )
= $true )
| ( ( product @ SV8 @ SV27 @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(175,plain,
! [SV28: $i,SV9: $i,SV53: $i,SV38: $i,SV42: $i] :
( ( ( ~ ( product @ SV42 @ SV38 @ SV53 )
| ! [SY134: $i] :
( ~ ( product @ SV42 @ SV9 @ SY134 )
| ( product @ SY134 @ SV28 @ SV53 ) ) )
= $true )
| ( ( product @ SV9 @ SV28 @ SV38 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(176,plain,
! [SV10: $i,SV44: $i,SV29: $i] :
( ( ( defined @ SV29 @ SV44 )
= $false )
| ( ( ~ ( identity_map @ SV29 )
| ( defined @ SV10 @ SV44 ) )
= $true )
| ( ( defined @ SV10 @ SV29 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(177,plain,
! [SV39: $i,SV49: $i,SV32: $i,SV19: $i] :
( ( ( ~ ( product @ SV19 @ SV32 @ SV49 ) )
= $true )
| ( ( SV39 = SV49 )
= $true )
| ( ( product @ SV19 @ SV32 @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(178,plain,
! [SV4: $i,SV23: $i,SV45: $i,SV33: $i] :
( ( ( defined @ SV33 @ SV45 )
= $false )
| ( ( defined @ SV23 @ SV45 )
= $true )
| ( ( product @ SV4 @ SV23 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(179,plain,
! [SV5: $i,SV34: $i,SV50: $i,SV46: $i,SV24: $i] :
( ( ( ~ ( product @ SV24 @ SV46 @ SV50 ) )
= $true )
| ( ( ~ ( defined @ SV34 @ SV46 )
| ( defined @ SV5 @ SV50 ) )
= $true )
| ( ( product @ SV5 @ SV24 @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(180,plain,
! [SV6: $i,SV25: $i,SV51: $i,SV41: $i,SV35: $i] :
( ( ( ~ ( product @ SV35 @ SV41 @ SV51 ) )
= $true )
| ( ( ! [SY133: $i] :
( ~ ( product @ SV25 @ SV41 @ SY133 )
| ( product @ SV6 @ SY133 @ SV51 ) ) )
= $true )
| ( ( product @ SV6 @ SV25 @ SV35 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(181,plain,
! [SV26: $i,SV7: $i,SV36: $i,SV47: $i] :
( ( ( defined @ SV47 @ SV36 )
= $false )
| ( ( defined @ SV47 @ SV7 )
= $true )
| ( ( product @ SV7 @ SV26 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(182,plain,
! [SV27: $i,SV37: $i,SV52: $i,SV8: $i,SV48: $i] :
( ( ( ~ ( product @ SV48 @ SV8 @ SV52 ) )
= $true )
| ( ( ~ ( defined @ SV48 @ SV37 )
| ( defined @ SV52 @ SV27 ) )
= $true )
| ( ( product @ SV8 @ SV27 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(183,plain,
! [SV28: $i,SV9: $i,SV53: $i,SV38: $i,SV42: $i] :
( ( ( ~ ( product @ SV42 @ SV38 @ SV53 ) )
= $true )
| ( ( ! [SY134: $i] :
( ~ ( product @ SV42 @ SV9 @ SY134 )
| ( product @ SY134 @ SV28 @ SV53 ) ) )
= $true )
| ( ( product @ SV9 @ SV28 @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(184,plain,
! [SV44: $i,SV10: $i,SV29: $i] :
( ( ( ~ ( identity_map @ SV29 ) )
= $true )
| ( ( defined @ SV10 @ SV44 )
= $true )
| ( ( defined @ SV29 @ SV44 )
= $false )
| ( ( defined @ SV10 @ SV29 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(185,plain,
! [SV39: $i,SV49: $i,SV32: $i,SV19: $i] :
( ( ( product @ SV19 @ SV32 @ SV49 )
= $false )
| ( ( SV39 = SV49 )
= $true )
| ( ( product @ SV19 @ SV32 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(186,plain,
! [SV5: $i,SV34: $i,SV50: $i,SV46: $i,SV24: $i] :
( ( ( product @ SV24 @ SV46 @ SV50 )
= $false )
| ( ( ~ ( defined @ SV34 @ SV46 )
| ( defined @ SV5 @ SV50 ) )
= $true )
| ( ( product @ SV5 @ SV24 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(187,plain,
! [SV6: $i,SV25: $i,SV51: $i,SV41: $i,SV35: $i] :
( ( ( product @ SV35 @ SV41 @ SV51 )
= $false )
| ( ( ! [SY133: $i] :
( ~ ( product @ SV25 @ SV41 @ SY133 )
| ( product @ SV6 @ SY133 @ SV51 ) ) )
= $true )
| ( ( product @ SV6 @ SV25 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(188,plain,
! [SV27: $i,SV37: $i,SV52: $i,SV8: $i,SV48: $i] :
( ( ( product @ SV48 @ SV8 @ SV52 )
= $false )
| ( ( ~ ( defined @ SV48 @ SV37 )
| ( defined @ SV52 @ SV27 ) )
= $true )
| ( ( product @ SV8 @ SV27 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(189,plain,
! [SV28: $i,SV9: $i,SV53: $i,SV38: $i,SV42: $i] :
( ( ( product @ SV42 @ SV38 @ SV53 )
= $false )
| ( ( ! [SY134: $i] :
( ~ ( product @ SV42 @ SV9 @ SY134 )
| ( product @ SY134 @ SV28 @ SV53 ) ) )
= $true )
| ( ( product @ SV9 @ SV28 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(190,plain,
! [SV44: $i,SV10: $i,SV29: $i] :
( ( ( identity_map @ SV29 )
= $false )
| ( ( defined @ SV10 @ SV44 )
= $true )
| ( ( defined @ SV29 @ SV44 )
= $false )
| ( ( defined @ SV10 @ SV29 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(191,plain,
! [SV24: $i,SV50: $i,SV5: $i,SV46: $i,SV34: $i] :
( ( ( ~ ( defined @ SV34 @ SV46 ) )
= $true )
| ( ( defined @ SV5 @ SV50 )
= $true )
| ( ( product @ SV24 @ SV46 @ SV50 )
= $false )
| ( ( product @ SV5 @ SV24 @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(192,plain,
! [SV35: $i,SV51: $i,SV6: $i,SV54: $i,SV41: $i,SV25: $i] :
( ( ( ~ ( product @ SV25 @ SV41 @ SV54 )
| ( product @ SV6 @ SV54 @ SV51 ) )
= $true )
| ( ( product @ SV35 @ SV41 @ SV51 )
= $false )
| ( ( product @ SV6 @ SV25 @ SV35 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(193,plain,
! [SV8: $i,SV27: $i,SV52: $i,SV37: $i,SV48: $i] :
( ( ( ~ ( defined @ SV48 @ SV37 ) )
= $true )
| ( ( defined @ SV52 @ SV27 )
= $true )
| ( ( product @ SV48 @ SV8 @ SV52 )
= $false )
| ( ( product @ SV8 @ SV27 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(194,plain,
! [SV38: $i,SV53: $i,SV28: $i,SV55: $i,SV9: $i,SV42: $i] :
( ( ( ~ ( product @ SV42 @ SV9 @ SV55 )
| ( product @ SV55 @ SV28 @ SV53 ) )
= $true )
| ( ( product @ SV42 @ SV38 @ SV53 )
= $false )
| ( ( product @ SV9 @ SV28 @ SV38 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(195,plain,
! [SV24: $i,SV50: $i,SV5: $i,SV46: $i,SV34: $i] :
( ( ( defined @ SV34 @ SV46 )
= $false )
| ( ( defined @ SV5 @ SV50 )
= $true )
| ( ( product @ SV24 @ SV46 @ SV50 )
= $false )
| ( ( product @ SV5 @ SV24 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(196,plain,
! [SV35: $i,SV51: $i,SV6: $i,SV54: $i,SV41: $i,SV25: $i] :
( ( ( ~ ( product @ SV25 @ SV41 @ SV54 ) )
= $true )
| ( ( product @ SV6 @ SV54 @ SV51 )
= $true )
| ( ( product @ SV35 @ SV41 @ SV51 )
= $false )
| ( ( product @ SV6 @ SV25 @ SV35 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(197,plain,
! [SV8: $i,SV27: $i,SV52: $i,SV37: $i,SV48: $i] :
( ( ( defined @ SV48 @ SV37 )
= $false )
| ( ( defined @ SV52 @ SV27 )
= $true )
| ( ( product @ SV48 @ SV8 @ SV52 )
= $false )
| ( ( product @ SV8 @ SV27 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(198,plain,
! [SV38: $i,SV53: $i,SV28: $i,SV55: $i,SV9: $i,SV42: $i] :
( ( ( ~ ( product @ SV42 @ SV9 @ SV55 ) )
= $true )
| ( ( product @ SV55 @ SV28 @ SV53 )
= $true )
| ( ( product @ SV42 @ SV38 @ SV53 )
= $false )
| ( ( product @ SV9 @ SV28 @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(199,plain,
! [SV35: $i,SV51: $i,SV6: $i,SV54: $i,SV41: $i,SV25: $i] :
( ( ( product @ SV25 @ SV41 @ SV54 )
= $false )
| ( ( product @ SV6 @ SV54 @ SV51 )
= $true )
| ( ( product @ SV35 @ SV41 @ SV51 )
= $false )
| ( ( product @ SV6 @ SV25 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(200,plain,
! [SV38: $i,SV53: $i,SV28: $i,SV55: $i,SV9: $i,SV42: $i] :
( ( ( product @ SV42 @ SV9 @ SV55 )
= $false )
| ( ( product @ SV55 @ SV28 @ SV53 )
= $true )
| ( ( product @ SV42 @ SV38 @ SV53 )
= $false )
| ( ( product @ SV9 @ SV28 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(201,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[63,200,199,197,195,190,185,181,178,169,167,166,147,134,106,102,101,100,99,98,97,86,66,65]) ).
thf(202,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[201]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.17 % Computer : n011.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Oct 6 18:29:21 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 73.55/14.93
% 73.55/14.93 No.of.Axioms: 23
% 73.55/14.93
% 73.55/14.93 Length.of.Defs: 0
% 73.55/14.93
% 73.55/14.93 Contains.Choice.Funs: false
% 73.55/14.93 ......
% 73.55/14.93
% 73.55/14.93 ********************************
% 73.55/14.93 * All subproblems solved! *
% 73.55/14.93 ********************************
% 73.55/14.93 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:23,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:5,ordering:none,proof_output:1,protocol_output:false,clause_count:201,loop_count:0,foatp_calls:1,translation:fof_experiment)
% 73.55/14.93
% 73.55/14.93 %**** Beginning of derivation protocol ****
% 73.55/14.93 % SZS output start CNFRefutation
% See solution above
% 73.55/14.93
% 73.55/14.93 %**** End of derivation protocol ****
% 73.55/14.93 %**** no. of clauses in derivation: 202 ****
% 73.55/14.93 %**** clause counter: 201 ****
% 73.55/14.93
% 73.55/14.93 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:23,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:5,ordering:none,proof_output:1,protocol_output:false,clause_count:201,loop_count:0,foatp_calls:1,translation:fof_experiment)
%------------------------------------------------------------------------------